The first term of a sequence is 13 The term -to-term rule is take away 5 work out the 4th term

Two cans of paint are needed to cover the toy chest of 1866 in²

Area:

The area is the amount of space occupied by a two-dimensional object or figure. Area (A) of the rectangle is:

A = length * breadth.

Area of A = 13 * 16 = 208 in²

Area of B = 13 * 25 = 325 in²

Area of C = 25 * 16 = 400 in²

Area of D = 13 * 25 = 325 in²

Area of E = 13 * 16 = 208 in²

Area of F = 25 * 16 = 400 in²

1) Combined Area = 208 + 208 = 416 in²

2) Combined Area = 325 + 325 = 650 in²

3) Combined Area = 400 + 400 = 800 in²

4) Combined Area = 416 + 650 + 800 = 1866 in²

5) Amount of paint = 1866 in² / 933 in² = 2

Therefore, Two cans of paint are needed to cover the toy chest of 1866 in²

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Answer:

4x - 5y = 10

Step-by-step explanation:

We can use the point-slope form to find the line equation:

[tex] \displaystyle{y - y_1 = m(x - x_1)}[/tex]

Where (x1,y1) is the point that the line intersects and m is slope. We know the line passes through (-5,-6) and the slope is parallel to the line 4x - 5y = 35. Meaning the slope of that line is equal to slope of 4x - 5y = 35.

In this equation form Ax + By = C, we can find slope by m = - A/B. Therefore, m = -4/-5 which equals to 4/5. Hence, the slope is 4/5

[tex] \displaystyle{y - y_1 = \dfrac{4}{5}(x - x_1)}[/tex]

And also it intersects the point (-5,-6). Therefore:

[tex] \displaystyle{y - ( - 6) = \dfrac{4}{5}(x - ( - 5))} \\ \\ \displaystyle{y + 6 = \dfrac{4}{5}(x + 5)}[/tex]

Then convert to Ax + By = C to match with the given equation in problem:

[tex] \displaystyle{5(y + 6 )= 5 \left(\dfrac{4}{5}(x + 5) \right)} \\ \\ \displaystyle{5y + 30 = 4(x + 5)} \\ \\ \displaystyle{5y + 30 = 4x + 20} \\ \\ \displaystyle{ \therefore 4x - 5y = 10}[/tex]

Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases

Given data :

y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases

And when the value of x decreases , the value of y also decreases.

Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.

So it shall either move left or right but shall not flip.

So

y = ³[tex]\sqrt{(x - 8)}[/tex] and  y = ³[tex]\sqrt{(x - 5)}[/tex]

are increasing functions.

Only when x becomes -x, that the function shall flip & shall become a decreasing function.

But then it must be - (x-a) or -(x+a) inside.

So

y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing

Only

y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.

Option D) is the right answer.

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The height of Dange who can jump 27.5% of her height is 10.4 inches.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Dange measures and finds that she can do a vertical jump that is 27.5 % of her height f and the distance of the jump is 13.2 inches.

Therefore. (100 + 27.5)% = 127.5% of f is 13.2 inches, This can be numerically expressed as,

(127.5/100)×f = 13.2.

1.275f = 13.2.

f = 13.2/1.27.

f = 10.4 feet.

So, The height of Dange is 10.4 inches.

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Answer:

Step-by-step explanation:

Answer: Y = 1/3x^2 - 4x + 12

Step-by-step explanation:

Hope this helps, sorry I don't have an explanation...

Answer:

Step by step explanation:

To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).

This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.

Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.

So, your final answer is:

The average temperature for the day was 1°F

On solving the provided question, we can have that by unitary method the answer will be total salary = 4 * 2340 = $ 9360

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

in a restaurant = 4 employees

salary of 1 = $ 2340

total salary = 4 * 2340 = $ 9360

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Using the number line, the difference between 4 1/2 and 8 will come to -31/2.

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.

Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.

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The dimensions of the room when Alyssa's den is 8 feet longer than it is wide are 15cm as 23cm.

An equation simply means the statement that shows the relationship between the variables given. It has an equal sign to denote this.

Let the width of the den be x.

The length of the den is x+8.

We can set up the equation x*(x+8)=425 to represent the area of the den.

We can solve this equation by factoring it as x² + 8x =425.

x² + 23x - 15x - 425

x(x + 23) - 15(x + 23)

(x - 15)(x + 23)

Either way, we find that the width of the den is 15 feet and the length is 23 feet.

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Answer:  I think 7/2?

Step-by-step explanation:

The total pay when he sells 24 copies of Math exists Fun should be 3760.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.

Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.

Calculation of the equation and the total pay:

His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.

Here P means the total pay

So, here the equation be p = 2400 + 110 n

substitute the values in the above equation, we get

Now the total pay be

p = 2400 + 110(24)

simplifying the above equation, we get

= 2,400 + 2640

= 5040

The equation that should be related P to N should be considered as the 2400 + 110n.

Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.

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The total pay when he sells 24 copies of Math exists Fun should be 3760.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.

Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.

Calculation of the equation and the total pay:

His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.

Here P means the total pay

So, here the equation be p = 2400 + 110 n

substitute the values in the above equation, we get

Now the total pay be

p = 2400 + 110(24)

simplifying the above equation, we get

= 2,400 + 2640

= 5040

The equation that should be related P to N should be considered as the 2400 + 110n.

Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.

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The two types of units that are used for the angle measurements are (d) degrees and radians .

The two types of Units of Measurements are Radians and Degrees ,

The unit Degrees is used to measure the direction and angle size. If the object is facing north, then the object is said to be at 0°. If the object turn the opposite direction to face south, then the object turned 180°.

A full circle comprises of 360 degree .

The Radian is an S.I. unit of measuring the angles , one radian is defined as angle made at center of a circle by an arc whose length is equal to radius of circle.

The value of 1 radian is approximately equal to 57.296 degree .

The given question is incomplete , the complete question is

What are two types of angle measurements ?

(a) metrics and radians

(b) radians and metrics

(c) degrees and metrics

(d) degrees and radians

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We convert 10 pounds to Dollars and get 12.2 United states Dollars.

Exchange rate is the rate at which one currency can be exchanged to another currency. The rate represents the relative value of one currency against the currency from another country. Currency conversion means convert one currency to another at an exchange rate.

We can convert pound to dollar by using currency exchange rate determined by the world market. The exchange rate is vary depending on the current situation of two country in which currency is converted between. The rate may be differed from one day to another.

1 pound sterling = 1.22 United States Dollar

10-pound sterling = 12.2 US Dollars

1 pound sterling = 1.76 Australian Dollar

10-pound sterling = 17.6 Australian Dollars

1 pound sterling = 1.64 Canadian Dollar

10-pound sterling = 16.4 Canadian Dollars

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To calculate seed number, divide the total number of inches available for crop by the in-row crop spacing. For example, 120 inches divided by one inch per pea seed equals 120 pea seeds.

In botany, a seed is an undeveloped plant embryo and food reserve encased in a protective outer covering. In a broader sense, "seed" refers to anything that can be sown, such as seed and husk or tuber.

Seeds are formed when a ripened ovule is fertilised by pollen-derived sperm, resulting in a zygote. The embryo develops from the zygote within a seed, forming a seed coat around the ovule and growing to a certain size within the mother plant before growth stops.

The formation of seeds is a stage in the reproduction of seed plants (spermatophytes). Other plants, such as ferns, mosses, and liverworts, lack seeds and must reproduce exclusively through water.

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Answer:

Step-by-step explanation:

3.00

For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.

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Complete question is: If the ranges of values = 40 and the number of sets = 10 , then what will be the length of set ?

There are total 30 positive 3-digit palindromes are multiples of 3.

The numbers are as follows,

111, 141, 171, 222, 252, 282, 303, 333, 363, 393, 414, 444, 474, 525, 555, 585, 606, 636, 666, 696, 717, 747, 777, 828, 858, 888, 909, 939, 969, 999.

Palindrome numbers

A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis.

A palindrome number is a number that is same after reverse.

For example - 121, 34543, 343, 131, 48984 are the palindrome numbers.

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Customers older than 45 years are 11 in number. This can be solved using stem-and-leaf plot.

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.

The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).

The stem and leaf plot represents the age of store patrons. The leaf represents the unit digit, while the stem stands for the tens digit. 45 is not taken into account because the question asks us to determine the percentage of consumers who are over 45.

Customers older than 45 years old include: 48, 50, 50, 51, 55, 56, 62, 64, 65, 65, 73.

So, there are a total of 11 clients.

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The complete question is as follows:

The stem-and-leaf plot shows the ages of customers who were interviewed in a survey by a store. How many customers were older than 45

Answer:

There are always two possible outcomes H (heads) and T (tails) but the possible combination outcomes are HH, TT, HT, and TH

Step-by-step explanation:

It is just my common sense~

There is 8 possible outcomes.

Answer: 4.5 jelly beans

Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$

35% in each package is red.

that means nothing else than for every M&M you pick, the probability is 35% (or 0.35) that is is red.

it also means the probability to get anything but red is 1 - 0.35 = 0.65 (65%).

if I understand you correctly, the question is for the probability that there are no more than 18 red M&Ms in a package of 52.

in other words, the probabilty that there are exactly 18, or exactly 17, or exactly 16 ... or exactly 1, or no red M&Ms.

the probability to get exactly 18 red out of 52 is

0.35¹⁸ × 0.65³⁴

for one of the combinations.

and we have C(52, 18) possible combinations :

52! / (18! × (52-18)!) = 52! / (18! × 34!)

18 red = 0.35¹⁸ × 0.65³⁴ × C(52, 18) = 0.115457378...

17 red = 0.35¹⁷ × 0.65³⁵ × C(52, 17) = 0.110273578...

16 red = 0.35¹⁶ × 0.65³⁶ × C(52, 16) = 0.096708177...

15 red = 0.35¹⁵ × 0.65³⁷ × C(52, 15) = 0.077665254...

14 red = 0.35¹⁴ × 0.65³⁸ × C(52, 14) = 0.056935055...

13 red = 0.35¹³ × 0.65³⁹ × C(52, 13) = 0.037956703...

12 red = 0.35¹² × 0.65⁴⁰ × C(52, 12) = 0.022909582...

11 red = 0.35¹¹ × 0.65⁴¹ × C(52, 11) = 0.012452595...

10 red = 0.35¹⁰ × 0.65⁴² × C(52, 10) = 0.006056874...

9 red = 0.35⁹ × 0.65⁴³ × C(52, 9) = 0.002615926...

8 red = 0.35⁸ × 0.65⁴⁴ × C(52, 8) = 0.000993712...

7 red = 0.35⁷ × 0.65⁴⁵ × C(52, 7) = 0.000328083..

6 red = 0.35⁶ × 0.65⁴⁶ × C(52, 6) = 9.271902896e-005

5 red = 0.35⁵ × 0.65⁴⁷ × C(52, 5) = 2.198201902e-005

4 red = 0.35⁴ × 0.65⁴⁸ × C(52, 4) = 4.252473918e-006

3 red = 0.35³ × 0.65⁴⁹ × C(52, 3) = 6.446899235e-007

2 red = 0.35² × 0.65⁵⁰ × C(52, 2) = 7.183687719e-008

1 red = 0.35 × 0.65⁵¹ × C (52, 1) = 5.231817386e-009

0 red = 0.35⁰ × 0.65⁵² × C(52, 0) =

= 0.65⁵² = 1.868506209e-010

the probability to have no more than 18 reds is the sum of all that :

0.540472593...

Answer:

2nd

Step-by-step explanation:

Answer: They are not proportional.

Step-by-step explanation: The numerator is multiplied my 0.5 but the denominator is not.

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Now, According to the question:

What does translation of coordinates mean?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Transformations of Graphs

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.

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The original number is 25.

We know that,

The sum of the original number is 7 --(i)

When reversed, the value of the number is increased by 45 --(ii)

Therefore, adding (i) and (ii), we get:

7 + 45 = 52

Also, 5 + 2 = 7

Since 52 is the reversed number,

Therefore, the original number is 25.

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Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$ 41 thousand less than twice that of an individual. the average yearly salary of an individual with each of these final degrees is: $50,000 (Bachelor's degree) and $59,000 (Master's degree )

Let x represent the average yearly salary of an individual with the bachelor's degree

Let (2x-41000) represent the   average yearly salary of an individual with the master's degree

Let the sum of these salaries = 109000

So, x + (2x-41000) = 109000

Simplify and solve:

3x = 109000 + 41,000

3x = 150,000

Divide both side by 3x

x= 150,000/3

x = 50,000 (Bachelor's degree)

So,

(2x-41000)

= 2(50,000) - 41,000

=100,000 - 41,000

= $59,000 (Master's degree )

Therefore the average yearly salary is $50,000 (Bachelor's degree) and $59,000 (Master's degree )

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Answer:

15% off means take $3.75 off the regular price

Step-by-step explanation:

$25(0.15) = $3.75

$25 - $3.75 = $21.75  sale price

The number of bottles of mustard they went through is given by the equation A = 1/6 of the bottle

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of bottles of mustard be represented as A

Now , the equation will be

The amount of ketchup used by Camille's Snack Shack = ( 1/4 ) of the bottle

Now , the amount of bottle of mustard used = ( 2/3 ) of the bottle of ketchup

Substituting the values in the equation , we get

The number of bottles of mustard used A = ( 2/3 ) of ( 1/4 ) of the bottle

On simplifying the equation , we get

The number of bottles of mustard used A = ( 2/3 ) x ( 1/4 )

The number of bottles of mustard used A = ( 1/6 ) of the bottle

Therefore , the value of A is 1/6

Hence , the number of bottles is 1/6

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0.30 is the probability that the individual purchased the product

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Let, B = individual purchased the product

S = individuals recalls seeing the advertisement.

Here, P(B) = 0.20

P(S) = 0.40

P(B ∩ S) = 0.12

Thus, P(B | S) = P(B ∩ S) / P(S)

= 0.12/0.40

= 0.30

P(B) = 0.20 < P(B | S) =0.30

Yes, thus the probability that an individual will purchase the product will increase if the individual sees the advertisement first.  

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The complete question is as follows:

Answer:

8

Step-by-step explanation:

the cubed root of 8 equals 2

if you quadruple 2 (multiply it by 4), you will get 8