answer this math question ​

Answer This Math Question

Answers

Answer 1

The table in this problem is completed as follows:

8 pints for 1 gallon.40 pints for 5 gallons.64 pints for 8 gallons.

What is a proportional relationship?

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

The constant for the relationship is:

k = 16/2

k = 8.

Hence the equation is:

y = 8x.

In which:

x is the number of gallons.y is the number of pints.

Then the numeric values are:

x = 1, y = 8 x 1 = 8.x = 5, y = 8 x 5 = 40.x = 8, y = 8 x 8 = 64.

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Related Questions

What is the most descriptive name for the illustration below?

A. quadrilateral
B. polygon
C. rhombus
D. trapezoid

Answers

The most descriptive name for the illustration below is C. rhombus.

Define term Rhombus?

Because it has four sides, a rhombus is a geometric shape that is a quadrilateral. Because its opposite sides are parallel and their angles are equal, it is a unique kind of parallelogram.

The most descriptive name for the illustration above is C. rhombus.

A rhombus is a type of quadrilateral with four sides of equal length and opposite angles that are equal to each other. It can also be defined as a parallelogram with equal diagonals. The illustration appears to have all sides of equal length and opposite angles that are equal, thus making it a rhombus.

While the other options, such as quadrilateral, polygon, and trapezoid, also apply to the illustration, they are less specific than the term rhombus.

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factor each completely
6r2 + 31r + 18

Answers

Therefore, the expression 6r² + 31r + 18 factors completely into (3r + 2)(2r + 9).

What is factor?

In mathematics, factoring is the process of finding the factors or divisors of a given number or algebraic expression. When we factor a number or expression, we find the numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, since these numbers can be multiplied together in different combinations to obtain 12. Factoring is an important skill in algebra, as it helps us to simplify algebraic expressions and solve equations.

Here,

To factor the quadratic expression completely, we need to find two binomials whose product is equal to the given expression. We can start by looking for two numbers whose product is 6 x 18 = 108 and whose sum is 31. After some trial and error, we find that the numbers are 6 and 18.

We can now write the expression as:

=6r² + 31r + 18

18*6=108

27*4=108

27+4=31

= 6r² + 27r + 4r + 18

= 3r(2r + 9) + 2(2r + 9)

= (3r + 2)(2r + 9)

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Does each of these graphs have at least one Hamiltonian circuit? If so, find one.

Answers

The first shape does NOT have a Hamilton circuit

The second shape has a Hamilton circuit

The third shape does NOT have a Hamilton circuit

What is a Hamiltonian circuit?

In mathematical graph theory, a Hamiltonian circuit- named after its originator William Rowan Hamilton, an acclaimed Irish mathematician of the 19th century– is a path within a graph that covers every vertex only once and begins and ends at the same vertex.

To put it differently, it's an enclosed movement that goes through each point in the graph exactly once. When the graph consists of a Hamiltonian circuit, this indicates to be a Hamiltonian graph. One can see many practical uses of Hamiltonian circuits such as computer science where they play a crucial role in algorithm analysis and design.

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A recent survey reported that 87% of Americans approve of human embryonic stem cell research. If an American is selected at random, find the probability that he or she will disapprove or have no opinion on the issue. The probability that he or she will disapprove or have no opinion on the issue is %?​

Answers

The probability that an American will disapprove or have no opinion on the issue is 13%.

What is Probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event. Probability is used to describe random phenomena, such as the roll of a dice, the flip of a coin, the occurrence of an earthquake, or the outcome of a hand of poker. It is also used to describe the likelihood of certain events happening based on past data or current conditions.

This can be calculated by subtracting the reported approval rate of 87% from 100%. This means that 13% of Americans disapprove or have no opinion on the issue of human embryonic stem cell research.

It is important to note that this survey's data only pertains to the opinions of Americans and not to any other group of people. Therefore, the probability that any individual randomly selected from the global population will disapprove or have no opinion on the issue may be different.

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Suppose you physically simulate the random process of rolling a single die. ​(a) After 1010 rolls of the​ die, you observe a​ "one" 44 times. What proportion of the rolls resulted in a​ "one"? ​(b) After 2020 rolls of the​ die, you observe a​ "one" 22 times. What proportion of the rolls resulted in a​ "one"?

Answers

Answer:

(a) 4.356% (b) 1.089%

Step-by-step explanation:

The rolling of a single die is an example of a discrete uniform distribution, where each of the six possible outcomes has an equal probability of 1/6.

(a) After 1010 rolls of the die, observing a "one" 44 times, the proportion of rolls resulting in a "one" is:

Proportion = Number of "ones" / Total number of rolls

= 44 / 1010

= 0.04356

Therefore, approximately 4.356% of the rolls resulted in a "one".

(b) After 2020 rolls of the die, observing a "one" 22 times, the proportion of rolls resulting in a "one" is:

Proportion = Number of "ones" / Total number of rolls

= 22 / 2020

= 0.01089

Therefore, approximately 1.089% of the rolls resulted in a "one".

Answer:

A) 40%

B) 10%

Step-by-step explanation:

A) p = 4/10 = 40%

B) p = 2/20 = 10%

Help asap quickly math homework

Answers

Since line segment SP is a diameter, the measure of arc PTS is 180 degrees. 180 - 42 = 138 degrees, which is the measure of arc PT. 97 + 42 + 138 = 277 degrees for the measure of arc PTR

What is the length of side b? (Hint: There are 3 sides and 1 angle)

Answers

The length of side b is given as follows:

b = 2.86 m.

What is the law of sines?

Suppose we have a triangle in which:

Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.

The lengths and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

The sum of the measures of the internal angles of a triangle is of 180º, hence the missing angle is obtained as follows:

B + 30 + 80 = 180

B = 70º.

Then the relation, by the law of sines, is given as follows:

sin(70º)/b = sin(80º)/3

Meaning that the length of side b is given as follows:

b = 3 x sine of 70 degrees/sine of 80 degrees

b = 2.86 m.

Missing Information

The triangle is given by the image presented at the end of the answer.

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T
2

k

90°
Special Right Triangles
2
If the diagonal of a square produces an isosceles right
triangle, then you should be able to find the measures
of the base angles.
What is the measure of angles a and b?
angle
a
b
measure
check
X
X

Answers

The base angles a and b have their measures to be 45 degrees each

Calculating the base angles a and b?

If the diagonal of a square produces an isosceles right triangle, then the two legs of the right triangle are congruent, meaning the two base angles are congruent as well.

Since the triangle is a right triangle, one of the base angles must be 45 degrees (which is half of the right angle).

Therefore, both base angles are 45 degrees.

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The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=257 days and standard deviation a = 8 days.
(a) What proportion of pregnancies lasts more than 267 days?
(b) What proportion of pregnancies lasts between 255 and 261 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 245 days?
(d) A "very preterm baby is one whose gestation period is less than 239 days. Are very preterm babies unusual?

Answers

a. It should be noted that about 10.56% of pregnancies last more than 267 days.

b. It should be noted that about 26.76% of pregnancies last between 255 and 261 days.

c. The probability that a randomly selected pregnancy lasts no more than 245 days is about 6.68%.

d. Only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event.

How to explain the probability

In this case, to see, to see if very preterm babies are uncommon, we must compare the likelihood of a pregnancy lasting less than 239 days to some criterion. We can employ the z-score:

z = (239 - 257) / 8 = -2.25

To the left of 239, there is:

P(X < 239) = P(Z < -2.25) = 0.0122

This suggests that only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event. As a result, very premature newborns are considered rare.

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a. It should be noted that about 10.56% of pregnancies last more than 267 days.

b. It should be noted that about 26.76% of pregnancies last between 255 and 261 days.

c. The probability that a randomly selected pregnancy lasts no more than 245 days is about 6.68%.

d. Only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event.

How to explain the probability

In this case, to see, to see if very preterm babies are uncommon, we must compare the likelihood of a pregnancy lasting less than 239 days to some criterion. We can employ the z-score:

z = (239 - 257) / 8 = -2.25

To the left of 239, there is:

P(X < 239) = P(Z < -2.25) = 0.0122

This suggests that only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event. As a result, very premature newborns are considered rare.

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Elnaz rewrote the equation x² - 6x - 18 = 0 so that she can solve by completing the square. Which equation did she write?
A. (x-3)² = -9
B. (x-3)² = 18
C. (x-3)² = 27
D. (x-3)² = 54

Answers

Answer:

C

Step-by-step explanation:

(x-3)(x-3)=27

x^2-3x-3x+9=27

x^2-6x+9=27

          -27.   -27

x^2-6x-18=0

Answer:

(x-3)²=27

Step-by-step explanation:

x²+6x-18=0

add 18 to both sides of the equation

To complete the square add 3² to both sides and factor what is on the left side. You will be getting

(x-3)² = 27 is the answer to this problem

Answer:

C

Step-by-step explanation:

(x-3)(x-3)=27

x^2-3x-3x+9=27

x^2-6x+9=27

          -27.   -27

x^2-6x-18=0

Answer:

(x-3)²=27

Step-by-step explanation:

x²+6x-18=0

add 18 to both sides of the equation

To complete the square add 3² to both sides and factor what is on the left side. You will be getting

(x-3)² = 27 is the answer to this problem

whats the answer for log b + z log c in condense form

Answers

Answer:

log b.c^z

Step-by-step explanation:

from the theorem a log b=log b^a

z log c= log c^z

from the theorem log a + log b= log ab

log b+ log c^z= logb. c^z will be the final answer

Please help me! 20 points!!!

A rocket can travel at 8,000 meters per second. If d is the distance in meters and t is the time in seconds, what is the formula for how far the rocket travels in t seconds?

Enter your answer as a formula including "d(t)=".

Answers

The formula for how far the rocket travels in t seconds is d(t) = 8,000t.

What is speed?

In Mathematics and Science, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using the following unit of measurement;

Miles per hour (mph).Kilometers per hour (kph).Meter per seconds (m/s).

How to calculate the speed?

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Making distance the subject of formula, we have:

Distance, d(t) = speed × time

Distance, d(t) = 8,000 × t

Distance, d(t) = 8,000t

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The lateral area of a cone is 473pi cm^2. The radius is 43 cm. Find the height to the nearest tenth

Answers

The slant height of the cone is about 11 cm. Using the Pythagorean theorem, the height is approximately 41.4 cm to the nearest tenth.

Use the formula for the lateral area of a cone: L = πrs, where L is the lateral area, r is the radius of the base, and s is the slant height.

Plug in the given values: L = 473π cm² and r = 43 cm. Then solve for s

L = πrs

473π = π(43)s

s = 473/43 ≈ 11

So the slant height of the cone is approximately 11 cm.

Use the Pythagorean theorem to find the height of the cone. Let h be the height of the cone. Then the Pythagorean theorem gives

h² + s² = r²

Substituting in the values for s and r, we get

h² + 11² = 43²

Simplifying this equation, we get

h² = 43² - 11²

Evaluating the right-hand side, we get

h² = 1764

Taking the square root of both sides, we get

h ≈ 41.4

So the height of the cone is approximately 41.4 cm to the nearest tenth.

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Ruby is visiting San francisco. From her hotel she walks 4 block east and 3 blocks north to a coffee shop. Then she walks 7 blocks west and 1 blocks north to a museum. Where is the museum in relation to her hotel?

Answers

The museum in relation to her hotel is at distance and direction as 3 blocks to the west and 4 blocks to the north.

Given that,

Ruby is visiting San francisco.

The figure representing the situation is given below.

Here it is easier to find the relation of the museum with the hotel.

When Ruby walk a certain distance to the west, she will reach straightly north to the museum.

Distance to the west = 7 - 4 = 3 blocks

Then she can walk 3 + 1 = 4 blocks to reach the museum.

Hence the museum is at a distance of 3 blocks to the west and 4 blocks to the north.

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Mathematics

Calculate the percentage, show your solution.

90% of 60

help, thanks!

Answers

Answer:

Your answer is 90% of 60 = 54.

Kleen Company acquired patent rights on January 10 of Year 1 for $881,100. The patent has a useful life equal to its legal life of eight years. On January 7 of Year 4, Kleen successfully defended the patent in a lawsuit at a cost of $49,200.
Required:
a. Determine the patent amortization expense for Year 4 ended December 31.
b. Journalize the adjusting entry on December 31 of Year 4 to recognize the amortization. Refer to the Chart of Accounts for exact wording of account titles.

Answers

a. The patent amortization expense for Year 4 ended December 31 is $110,138.
b. The adjusting entry on December 31 of Year 4 to recognize the amortization is:

Patent amortization expense 110,138
Accumulated patent amortization 110,138

You want to buy a $12,000 car. The company is offering a 2% interest rate for 48 months (4 years). What
will your monthly payments be?

Answers

Answer:

240

Step-by-step explanation:

Cruz has 64 stamps, of which 1/8 of the stamps have bees on them, and 3/16 of the stamps have flowers. The rest of the stamps have butterflies. How many stamps have butterflies on them? Explain.

Answers

Answer:

44 butterfly stamps

Step-by-step explanation:

1/8=2/16

2/16+3/16=5/16

16/16-5/16=11/16

64÷16=4

4×11=44

44/64

If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence is ______.

Answers

Answer:

The common ratio of this sequence is 120/150 = 4/5, so we have:

[tex] \frac{150}{1 - \frac{4}{5} } = \frac{150}{ \frac{1}{5} } = 150 \times 5 = 750[/tex]

So the sum of all the terms in this sequence is 750.

find the area of the shaded region round to the nearest hundredth where necessary 23.8 21 15

Answers

To find the area of the shaded region, we need to subtract the area of the smaller semicircle from the area of the larger semicircle, and then subtract the area of the triangle.

First, we need to find the radii of the two semicircles. The larger semicircle has a diameter of 23.8, so its radius is 23.8/2 = 11.9. The smaller semicircle has a diameter of 15, so its radius is 15/2 = 7.5.

The area of the larger semicircle is (π/2)(11.9)^2 ≈ 222.93 square units.

The area of the smaller semicircle is (π/2)(7.5)^2 ≈ 44.18 square units.

Next, we need to find the area of the triangle. We can use the Pythagorean theorem to find the height of the triangle:

h^2 = 11.9^2 - 7.5^2
h^2 ≈ 72.16
h ≈ 8.49

The base of the triangle is 21, so the area of the triangle is (1/2)(21)(8.49) ≈ 89.29 square units.

Finally, we can find the area of the shaded region by subtracting the area of the smaller semicircle from the area of the larger semicircle, and then subtracting the area of the triangle:

222.93 - 44.18 - 89.29 ≈ 89.46

Therefore, the area of the shaded region is approximately 89.46 square units, rounded to the nearest hundredth.

Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile= 5,280 feet)​

Answers

Answer:

44 feet in 10 seconds = 44 x 6 (since there are 60 seconds in a minute) = 264 feet per minute

264 feet per minute x 60 minutes (since there are 60 minutes in one hour) = 15,840 feet per hour

15,840 feet per hour / 5,280 feet (since there are 5,280 feet in 1 mile) = 3 miles per hour

Prepare a statement of cash flows for Business Solutions using the indirect method for the three months ended March 31, 2022. Owner Santana Rey contributed $25,000 to the business in exchange for additional stock in the first quarter of 2022 and has received $4,800 in cash dividends.

Answers

It is 47 because division
It is 47 because division

75% of flights arriving in Memphis are on time if the FAA Selects 60 random flights what is the probability that more than 80% of a simple flights are on time?

Answers

To solve this problem, we will first determine the mean and standard deviation of the distribution of sample proportion.

The mean of the distribution of sample proportion is equal to the population proportion, which is 0.75.

The standard deviation of the distribution of sample proportion is given by:

σ = sqrt[ (p * (1 - p)) / n ]

where p is the population proportion (0.75), and n is the sample size (60).

σ = sqrt[ (0.75 * (1 - 0.75)) / 60 ]
= 0.0625

To find the probability that more than 80% of the sample flights are on time, we will use a z-score calculation.

z = (x - μ) / σ

where x is the value we want to find the probability of, μ is the mean of the distribution (0.75), and σ is the standard deviation of the distribution (0.0625).

z = (0.8 - 0.75) / 0.0625
= 0.8

Using a standard normal table or calculator, we can find that the probability of a z-score of 0.8 or higher is approximately 0.2119.

Therefore, the probability that more than 80% of the sample flights are on time is approximately 0.2119.

Allen plans to weld peices of metal together to create a metal cube the length of of each side of the cube will be 14 inches how much metal will he need to create the cube

Answers

To calculate the total surface area of the cube, we need to find the area of one face (since all faces of a cube are identical) and then multiply it by the total number of faces (which is 6 for a cube).

The area of one face of the cube is simply the length of one side squared:

14 inches x 14 inches = 196 square inches.

So the total surface area of the cube is:

6 x 196 square inches = 1,176 square inches.

Therefore, Allen will need 1,176 square inches of metal to create the cube.

Determine the equation of straight line passing through the point (1,0) and (2, - 3)

Answers

first you need to find the gradient of the line and to do that you divide the height of a part of the line by its length. so to find the height we do -3-0=-3 and to find the length we do 2-1=1. then divide -3 by 1 and the gradient is -3. so now we know the equation is y=-3x+b. to find b we replace y with the y coordinate of one of the 2 points. lets take the first point. so it will be 0=-3+b. Now we can easily find b by doing 0-(-3) which is 3. so the equation of the line is y=-3x+3. Also please mark this as brainliest answer if you found it helpful thanks.

Answer:

y = - 3x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ )  = (1, 0 ) and (x₂, y₂ ) = (2, - 3 )

m = [tex]\frac{-3-0}{2-1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, - 3 )

- 3 = - 3(2) + c = - 6 + c ( add 6 to both sides )

3 = c

y = - 3x + 3 ← equation of line

When Caroline runs the 400 meter dash, her finishing times are normally distributed with a mean of 68 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 99.7% of her finishing times in the 400 meter race.

Answers

The interval of times that represents the middle 99.7% of Caroline's finishing times is (63.5, 72.5) seconds

How to calculate the interval

In this case, we are looking for the interval of times that represents the middle 99.7% of Caroline's finishing times.

The middle 99.7% of the data corresponds to three standard deviations from the mean in both directions

Three standard deviations from the mean is 3 x 1.5 = 4.5 seconds.

Therefore, the interval of times that represents the middle 99.7% of Caroline's finishing times is (68 - 4.5, 68 + 4.5) = (63.5, 72.5) seconds

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The ratio of lime to sand in mortar is 3:7. How much lime must be mixed with 56 bags of sand to make mortar?

Answers

The ratio of the sand is 3:7 and it can be write as 6:14 or 7:21 ... They means the same thing.

Now we know that we have 56 bags of sand, the left side of the number should be 56. Like this:

? : 56

Since we know that 3:7 can be write as 6:14 or 7:21 ... we can even write it as 24:56, it's still 3:7.

Need help with his page 50 points

Answers

Answer:  B, C, B

Step-by-step explanation:

see images for explanation

Answer:

[tex]\textsf{11)} \quad \text{b.}\;\;2\frac{3}{4}[/tex]

[tex]\textsf{12)} \quad \text{c.}\;\;7\frac{1}{2}[/tex]

[tex]\textsf{13)} \quad \text{b.}\;\;\dfrac{2}{3}x+4=10[/tex]

Step-by-step explanation:

Question 11

To find the answer to the given equation when y = 4, substitute y = 4 into the equation:

[tex]\begin{aligned} y=4 \implies \dfrac{3}{4}+\dfrac{2(4)}{4}&= \dfrac{3}{4}+\dfrac{8}{4}\\\\&= \dfrac{3}{4}+2\\\\&= 2\frac{3}{4}\end{aligned}[/tex]

Therefore, the answer is 2³/₄.

[tex]\hrulefill[/tex]

Question 12

To find the answer to the given equation when y = 8, substitute y = 8 into the equation:

[tex]\begin{aligned}y=8 \implies \dfrac{12}{8}+\dfrac{3(8)}{4}&= \dfrac{12}{8}+\dfrac{24}{4}\\\\&= \dfrac{12}{8}+6\\\\&= \dfrac{8+4}{8}+6\\\\&= \dfrac{8}{8}+\dfrac{4}{8}+6\\\\&= 1+\dfrac{1}{2}+6\\\\&=7\frac{1}{2}\end{aligned}[/tex]

Therefore, the answer is 7¹/₂.

[tex]\hrulefill[/tex]

Question 13

To determine which equation is true if x = 9, substitute x = 9 into each equation.

[tex]\begin{aligned} \text{a)} \quad \dfrac{2}{3}(9)-6&=12\\\\\dfrac{18}{3}-6&=12\\\\6-6&=12\\\\0&=12\end{aligned}[/tex]

[tex]\begin{aligned} \text{b)} \quad \dfrac{2}{3}(9)+4&=10\\\\\dfrac{18}{3}+4&=10\\\\6+4&=10\\\\10&=10\end{aligned}[/tex]

[tex]\begin{aligned} \text{c)} \quad 3(9)-12&=21\\27-12&=21\\15&=21\end{aligned}[/tex]

[tex]\begin{aligned} \text{d)} \quad 3(9)+12&=19\\27+12&=19\\39&=19\end{aligned}[/tex]

Therefore, the only equation that holds true is option b.

ASAPP Rajindri, a physician assistant who works in an emergency room, earns $163 for every two hours that she works.
Which equation represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours?

A. d= 163 + t

B. d= 163/2 × t/2

C. d = 163t

D. d = 81.50t

Answers

Answer:

C. d = 163t

Step-by-step explanation:

This equation represents a direct proportionality between the number of dollars earned (d) and the amount of time worked (t), with a constant of proportionality of 163 dollars per hour.

Hope this helps!

I need help with this question. I cannot seem to get past it. Please help me

Answers

Answer:

dont know either

Step-by-step explanation:

dont know either

Other Questions
the hexadecimal notation of (1110 1110 1110)2 is 12. A new software package is expected to improve productivity at X company. However, because of training and implementation costs, savings are not expected to occur until the third year of operation. At that time, savings of $10,000 are expected, increasing by $1,000 per year for the following five years. After this time (eight years from implementation), the software will be abandoned with no scrap value. How much is the software worth today, at 15% interest? Automobile manufacturers and dealers use a variety of marketing devices to sell cars. Among these are rebates and low-cost dealer-arranged financing packages. To determine which method of reducing the vehicle's cost is better, you can use the following equation that considers the amount borrowed (D), the interest rate on the loan (APR), the number of payments made each year (Y), the total number of scheduled payments (P), and any finance charged in the transaction (F): Y x (95P 9) xF 12P x (P + 1) x (4D F) APR = You and your friend, Elizabeth, have been shopping for your new car for several weeks. Together, you've visited several dealerships and your combined negotiating efforts have resulted in an agreed-on price of $27,690. In addition, the dealer has offered you either a rebate of $2,000 or an introductory interest rate of 3.5% APR. If you elect to take advantage of the 3.5% low-cost dealer financing, you'll also have to pay $1,038 in finance charges and make monthly payments of $625.21 for four years. Alternatively, you've also been preapproved for a four-year 8.8% loan from your credit union. This loan will require payments of $636.86 per month and a 2% down payment Given this information, what is the adjusted cost of the dealer financing package, rounded to two decimal places? 5.00% 5.75% 4.50% Should you accept the low-cost dealer-arranged financing package or should you accept the rebate and finance your new vehicle using your credit union loan? Select the loan offered by your credit union as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%) select the loan offered by the dealer as it has a lower adjusted cost (5.00%) than the loan offered by your credit union (8.8%). Brad Huxter rents a luxury coupe while on vacation. The vehicle rents for $200 per week or$29.95 per day. Mileage is charged at a rate of $0.25 per mile with the first 500 miles free. Herents the vehicle for 10 days, drives it 865 miles, and spends $62 on gasoline. What is the costper mile of renting the vehicle? 11. Find the rate of change for the linear function represented in the table.Time (minutes) Temperature (C)x y0 665 6910 7215 75 9 What important person in Starr's life does her father finally meet? How does he handle it? Consider the following information about a business Diane opened last year: price = $20, quantity sold = 25,000; implicit cost = $255,000; explicit cost = $360,000. Assuming that all relevant costs and revenue are noted, what was Diane's accounting profit? a. $140,000 b. -$115,000 c. $115,000 d. $245,000 Using the formulas in Table 8.9, develop a spreadsheet program to compute the following factors for a software project: Cost variance (CV) Schedule variance (SV) Cost performance index (CPI) Schedule performance index (SPI) Estimated actual cost (EAC) Estimated completion date (ECD) Cost variance at completion (CVC) Schedule variance at completion (SVC)TABLE 8.9 Earned value terminology Term Definition Explanation BCWP Budgeted Cost of Work Performed Cumulative amount of the budget for all tasks completed to date (i.e., the earned value) ACWP Actual Cost of Work Performed Actual cost of all tasks completed to date BCWS Budgeted Cost of Work Scheduled Planned cost of all tasks scheduled for completion to date BAC Budget Actual Cost Planned cost of the total project SCD Scheduled Completion Date Planned completion date of the project EAC Estimated Actual Cost Estimated actual cost of the project based on progress to date ECD Estimated Completion Date Estimated completion date based on progress to date CV Cost Variance CV = ACWPBCWP SV Schedule Variance SV = BCWSBCWP CPI Cost Performance Index CPI = ACWP/BCWP SPI Schedule Performance Index SPI = BCWS/BCWP CVC Cost Variance at Completion CVC = EACBAC SVC Schedule Variance at Completion SVC = ECDSCD where EAC = BAC * CPI and ECD = SCD * SPI Sketch the region of integration and write an equivalent integral with the order of integration reversed for the integralxydydx. Evaluate the integral in both forms. Machiavelli suggests that tyranny is justifiable if it helps keep the peace. Leaders sometimes face challenges from within their own borders. What characteristics must leaders possess to deal with these challenges? Do you agree that in these casesand on a personal level the end sometimes justifies the means? Explain your answer in a well-written paragraph, using examples from your own life, history, and/or current events. Make sure you have answered all the questions in the prompt. Give an example of a new less than five years old) small business State when the company was started. Why has this company been successful udho in During lunchtime, customers arrive at a postal office at a rate of A = 36 per hour. The interarrival time of the arrival process can be approximated with an exponential distribution. Customers can be served by the postal office at a rate of u = 45 per hour. The system has a single server. The service time for the customers can also be approximated with an exponential distribution.a. What is the probability that at most 4 customers arrive within a 5-minute period? You can use Excel to calculate P(X Sustainable Development Goals (SDGs) are addressed toa.Governments rather than businessesb.Governments and businessesc.NGOsd.Foreign investorsWhich one of the following factors lead to people becoming refugees?a.Political persecution in the persons home countryb.Leaving the home country to become a migrant labourerc.Leaving the home country for economic opportunities elsewhered.Leaving the home country to pursue education in another countrySocial protection is best described asa.Unemployment benefitsb.Programmes that help the poor and vulnerable people in societyc.Housing benefitsd.Family benefits ___________ entails moving away from certain actions, policies, or strategies before adopting anything new. A- Changing B- Freezing C- Refreezing D- Unfreezing Does Mara need to apologize to her readers? Multiple Choice No. The readers' feelings about the decision are Irrelevant No. The readers are probably not golng to be that upset by the news anyway No. The declsion Is based on sound business reasoning Yes. The newS will be extremely upsetting to the readers No. The readers' feelings about the decislon are Irrelevant No. The readers are probably not golng to be that upset by the news anyway No. The declsion Is based on sound business reasoning Yes. The news will be extremely upsetting to the readers. Yes. The readers deserve an apology for Mara's extreme actlons You are on a fishing boat that leaves its pier and heads east. After traveling for 29 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S35W for 14.6 miles.a. At this time, how far are you from the boat's pier?b. What bearing could the boat have originally taken to arrive at this spot? A runner covers a distance of 500m in 14.5minutes. Calculate the average speed Interpret the estimated coefficient for the total loans and leases to total assets ratio in terms of theodds of being financially weak. That is, holding total expenses/assets ratio constant then a one unitincrease in total loans and leases-to-assets is associated with an increase in the odds of beingfinancially weak by a factor of-14.18755183+79.963941181 .TotExp/Assets+9.1732146 .TotLns&Lses/Assets brainliest + 100 points Write a short story about someone coming to america. The story must include these words: breach, opinionated, alien, abridge, condone, fabricate, arrogant, dated, pretentious, and debris Goal: Practice of software modeling using UML Consider the following use case specification for a use case called "Search Student" Search student Brief description: The actor receives results of students Actors: ParticipantPreconditions: The actor is a registered student Basic flow of events: 1. The actor logs into the system 2. The system authenticates the actor and starts a session 3. The actor chooses to search for student 4. The actor is guided by the system to fill the required criteria's to search for student 5. The actor receives results for student6. The actor leaves the system Extensions: 1a. The system fails to authenticate the actor. The system informs the actor and doesn't allow the actor to proceed 3a. The system fails to search The system informs the actor Extensions: 1a. The system fails to authenticate the actor.The system informs the actor and doesn't allow the actor to proceed 3a. The system fails to search The system informs the actor Post-conditions: The system outputs results for the search of student Special requirements: Actor is connected to Internet and uses a Java enabled Mobile phone 1. Draw a class diagram for this use case (5 marks) 2. Draw a sequence diagram for this use case (5 marks)