Natalie is driving on the freeway. She just passed mile marker 290. The markers have
been increasing as she drives by them. The fastest Cameron will drive is 80 miles per
hour. However, there is a bit of traffic that might slow her down, but she doesn't know
exactly how much it will slow her down.

a. Write an inequality to represent Natalie's position relative to the mile markers
three hours from now.

b. Rewrite this inequality to reveal Natalie's speed.

Need help with this ASAP

Answers

Answer 1

On solving the provided question we can say that - the inequality equation which will be formed is 290x [tex]\geq[/tex] -23 + y

What is inequality?

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

here,

we have 290x

so the inequality equation which will be formed is

-y + 290x [tex]\geq[/tex] -23

290x [tex]\geq[/tex] -23 + y

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Related Questions

Help answer this pls if really appreciate it!! Also if you could explain a little I’d appreciate it extra since I’m a little lost. Thank you!!!

Answers

According to the question the angle between right angle triangle hence the   M∠1 = [tex]90^{0}[/tex] .

What does a triangle's right angle look like?

90 degrees or a straight angle is always one angle. The hypotenuse is the side that has an angle of 90° on it. Always, the hypotenuse is the longest side. The remaining two inner angles add up to a total of 90°.

Which three angles make up a right triangle?

Right triangles are triangles with one of the internal angles at a right angle of 90 degrees. Since a triangle's three interior angles sum up to 180 degrees, a right triangle's three interior angles must always add up to 90 degrees since one of them is always 90 degrees (they are complementary).

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Which of these ratios are equivalent? Choose all that apply.

1) 16:4
2) 2:1
3) 32:2
4) 480:120
5) 4:16
6) 4:1

Answers

The ratios which are equivalent are as follows:

1) 16:4

4) 480:120

6) 4:1

Step-by-step solution:

1) 16:4

[tex]=\frac{16}{4}[/tex]

[tex]=\frac{4}{1}[/tex]

4:1

2) 2:1

[tex]=\frac{2}{1}[/tex]

2:1

3) 32:2

[tex]=\frac{32}{2}[/tex]

[tex]=\frac{16}{1}[/tex]

=16:1

4) 480:120

[tex]=\frac{480}{120}[/tex]

[tex]=\frac{4}{1}[/tex]

=4:1

5) 4:16

[tex]=\frac{4}{16}[/tex]

[tex]=\frac{1}{4}[/tex]

=1:4

6) 4:1

[tex]=\frac{4}{1}[/tex]

=4:1

Therefore, the correct solution to this question is:

1) 16:4

4) 480:120

6) 4:1

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Answer:

16:4 and 480:120 and 4:1 are equivalent.

Step-by-step explanation:

let f(x)= 2x-9. Find the inverse and evaluate f^1 (-2).

Answers

Answer:

f(x)= 2x-9

f(-2)= 2(-2)-9

f(-2)= -4-9

=-13

Find the value of x.

Answers

Answer:

76 don't know how to explain it

your answer should be 121.

when finding the exterior angle, a good thing to keep in mind would be the exterior angle theorem: m<1 = m<2 + m<3z

if you are given the measurements of the angles INSIDE the triangle, it would equal the exterior angle.

hope this helped!

If the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 56 ft tall. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The Length of shadow  is 35.56 ft.

Given that,

If the sun is 68° above the horizon.

Based on the above information, the calculation is as follows:

tan68° =BC divide AC

tan68° =88 divide b

b =88 divide tan68°

=88 divide 2.475

= 35.56 ft.

-50 POINTS- if you guess you’ll be reported.
If P=(4,7) Find D2 (P)

Answers

You will be reported if you guess. The result is -1 if P=(4,7)on D2 (P). Consequently, P=(4,7) in D2 reports -1. (P).

What is the value of D2 (P)?

Given p= (4,7)

The answer to  4 p+7 is 4(-2)+7=-8+7=-1

The value of the denominator (d2), a weighting factor, is depends on the control chart's subgroup size, n. Based on a subgroup size of 5, the value of d2 in the case is 2.326. Following is a brief list of the d2 values for other subgroup sizes.

The table of constants below contains the d2 value, which is determined by the subgroup size. The average moving range, or MR-bar, will be used if your subgroup size is one. Model No. The average range is 0.220, and the mean is 0.8057 (X-bar). The D2 function gives the sample range of n independent, normally distributed random variables with the same mean and a standard deviation of 1 the anticipated value.

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F(x)=2 sin (1/2x)+1
What is the midline of the functionless

Answers

Answer: 4

Step-by-step explanation:

Let me get to know you:)

18.
M is the midpoint of WX and
YZ. Is YW = ZX? Why?
W
M

Answers

Answer: Yes, YW ≅ ZX

Reasoning:

Because point M is the midpoint of segments WX and YZ, segments YM≅ZM and WM≅XM by the definition of a midpoint. Furthermore, ∠YMW≅∠ZMX by the Vertical Angles Theorem. Because we have a pair of corresponding, congruent sides, a pair of the included corresponding,congruent angles, and another pair of corresponding, congruent sides, the Side-Angle-Side Congruence Postulate can be used. By SAS, △YMW≅△ZMX. By CPCTC, segments YW≅ZX.

Suppose a young couple deposits $1000 at the end of each quarter in an account that earns 7.6%, compounded quarterly, for a period of 8 years. After the 8 years, they start a family and find they can contribute only $200 per quarter. If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, how much will they have in the account (to help with their child’s college expenses)?

Answers

If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, the future value in the account to help with their child's college is $215,293.42.

How the future value is computed?

The future value for this investment is computed in two separate solutions.

We have used an online finance calculator to facilitate the process.

The future value denotes the present deposits compounded at an interest rate.

Initial Deposits:

N (# of periods) = 32 quarters (8 years x 4)

I/Y (Interest per year) = 7.6%

PV (Present Value) = $0

PMT (Periodic Deposit) = $1,000

Results:

FV = $43,489.87

Sum of all periodic payments = $32,000.00

Total Interest = $11,489.87

Subsequent Deposits:

N (# of periods) = 76 quarters (19 years x 4)

I/Y (Interest per year) = 7.6%

PV (Present Value) = $43,489.87

PMT (Periodic Payment) = $200

Results:

Future Value (FV) = $215,293.42

Sum of all periodic payments = $15,200 ($200 x 76 quarters)

Total Interest = $156,603.55

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renee spent 1/8 of the day landscaping around the house. she spent 1/2 of that time pulling weeds. what fractions of the day did renee spend pulling the weed? PLS HELP IM HAVING A UNIT TEST ON MONDAY

Answers

Answer:

Renee spent 1/2 of the time she spent landscaping pulling weeds, which is 1/2 * 1/8 = 1/16 of the day. Therefore, Renee spent 1/16 of the day pulling weeds.

The temperature at a mountain cabin on
Saturday morning measured -12 degrees
Fahrenheit. The temperature decreased
another 8 degrees Saturday night. In
degrees Fahrenheit, what was the
temperature at the cabin Saturday night?
G-12 H 12
F -20
J -4

Answers

On Saturday night, the temperature at the mountain cabin decreased another 8 degrees from -12 degrees Fahrenheit, so the temperature at the cabin on Saturday night was -12 degrees - 8 degrees = -20 degrees Fahrenheit.

-12 + (-8) = -20
F-20

carmela translates f (x) = x2 to create p (x). If p 9 (x) = f (x+3) -10 sketch the graph

Answers

The function p(x) = (x + 3)² is transformed 3 units left along the x-axis.

What are some rules of function transformations?

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over the y-axis, (-x, y).

-f(x) = Reflection over the x-axis, (x, -y).

Given, A function f(x) = x².

Now, p(x) = f(x + 3).

p(x) = (x + 3)² and it is a transformed function to the parent function f(x).

Now, The function p(x) = (x + 3)² is transformed 3 units to the left along the x-axis.

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Lupe wrote two different fractions with the same denominator. both fractions were less than 1. can their sum equal? can their sum be greater than 1?

Answers

Answer: it depends on the number you took

Step-by-step explanation:

-2(x+5)=4 math homework help

Answers

Answer:

-7

Step-by-step explanation:

-2(x+5)=4

First, distributive property,

-2x-10=4

Add 10 to both sides,

-2x=14

Divide both sides by -2

-7

Edet took sixth at the end of term test and each test was marked out of 80. If his marks were 48, 52, 46, 46, 44 and 52. What percentage of the total marks did he get?

Answers

The percentage of the total marks that Edet gets is 60%

How to calculate the percentage?

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this situation, the score of Edet will be:

= 48 + 52 + 46 + 46 + 44 + 52

= 288

Total score = 80 × 6

= 480

The percentage will be:

= 288 / 480 × 100

= 60%

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Please help asap!

A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

spinner divided evenly into eight sections with three colored blue, one colored orange, two colored purple, and two colored yellow

Determine P(not orange) if the spinner is spun once.

25%
12.5%
87.5%
37.5%

(no links)

Answers

Answer:

7/8 = 87.5%

Step-by-step explanation:

You have only one of eight (1/8) evenly divided sections that is orange. The rest is not orange (1 - 1/8 = 7/8).

Therefore, spinning once will yield 7/8 odds of not landing on orange, or 0.875 or 87.5%.

The probability of not getting orange is 87.5%. The correct option is C.

What is probability?

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.

Probability = Number of favourable outcomes / Number of samples

Given that a spinner with repeated colours numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

You only have one of eight (1/8) evenly divided orange sections.

The rest is not orange,

P = (1 - 1/8

P =  7/8

P = 87.5%

Therefore, spinning once will yield 7/8 odds of not landing on orange or 0.875 or 87.5%.

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help me with this please

Answers

Answer: 1/14

Step-by-step explanation:
1. Multiply 4/7 and 1/8 because the term of implies multiplying in this case. You would multiply the fractions by multiplying the numerators by each other and the denominators by each other like 4x1 and 7x8.

2. Simplify the fraction 4x1/7x8. This will give you 4/56.

3. Simplify the fraction by dividing the numerator and denominator by its greatest common factor which is 4. 4/4 leaves you with 1 and 56/4 gives you 14. This means the answer is 1/14.

Which graph represents a function?
P

Answers

I think that the graph represents a function and the answer is

Which scale of measurement most reasonably applies to Confidence in Science?

Answers

The scale of measurement most reasonably applies to Confidence in Science is ordinal.

What are scales of measurement?

The basic  four scales used in measurements are continuous, discreet, ordinal and nominal. The continuous measurement scale is used to take the values in between a permitted range. For example weight, height, sales, rate etc.

In discreet measurements only take the whole numbers within a permitted range. For example, count of people, number of objects etc. Ordinary, logically ordered categorical values. For example, the size of clothes,

Nominal measurements include not logically ordered categorical values. For example, nationality, language etc.  The scale of measurements most reasonably applies to Confidence in Science is ordinal.

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Pls help fractions pls and sm else

Answers

Answer:

Step-by-step explanation:

(49/72)-(13/14)

-125/504

For brainliest and 50 points!!!​

Answers

The statements in if-then form are given as follows:

If it is right-angled, then it is 90 degreesIf x=6, then x² = 36If two angles measure 180°, then they are supplementary If your body temperature is 103°, then you have a fever If is 6pm, then it is time for dinnerIf there is gas in the tank, then the car runs If there there are 12 eggs if the carton, then it is fullIf a car is leaking antifreeze, then it has a problemIf a dog is old, then you can't teach it new tricksIf a deer has white fur and pink eyes, then it is albino

What is the value of an IF-Then Construct?

If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.

If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.

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3. Candy previously sold for $1.60 per pound is now offered for 48 cents in a 6 ounce
package. What is the ratio of former price to present price??

Answers

Answer: 5:3

Step-by-step explanation:

note: 16 ounces= one pound          
6 ounces = ?

∴6 ounces = pounds

48 cents = pounds

multiplying both sides by 

108 cents = 1 pound in the new price

= $1.08 in the new price 

ratio of old price to new price = 

therefore ratio of old to the new price = 5:3

Ready
Equivalent Expressions & the Distributive Property-
A tiny house has a length of 25 feet. The width of the kitchen is 3 feet, and the width of the
remaining living space is 12 feet.
Which expression represents the area
of the tiny house?
3(12+25)
25-3+12
25(3+12)
3-12 +25
25 ft
3 ft
12 ft

Answers

Answer: The area of the tiny house can be represented by multiplying the length of the house by the width. Since the width of the kitchen is 3 feet, and the width of the remaining living space is 12 feet, the total width of the house is 3+12 = 15 feet.

So the area of the tiny house is 25 ft * 15 ft = 2515 = 375 sq ft.

The expression that correctly represents the area of the tiny house is 25 * 15 =375.

So the correct answer is 2515 = 375 ft^2

The other expressions you gave are not the correct representation of the area of the house

3(12+25) = 3 * 37 = 111 ft^2

25-3+12 = 25 - 3 + 12 = 34 ft^2

25(3+12) = 25 * 15 = 375 ft^2

3-12 +25 = 3 - 12 + 25 = 16 ft^2

25 ft , 3 ft and 12 ft are not represent the area of the house.

Step-by-step explanation:

The Board of Education (DOE) claims that the average salary of substitute teachers in school
district in Nassau County, NY, is about $175 per day. A random sample of 6 school districts is
selected, and the daily salaries (in dollars) are collected into calculation with sample mean is $80
and sample standard deviation is 6.3. Calculate at α = .05 significance level whether the true
mean greater than $175.
Please explain step by step and as clear as possible

Answers

The null hypothesis is rejected.

The mean is not greater than $175.

What is the hypothesis?

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

Sample size (n) = 6

Sample mean ([tex]\bar x[/tex]) = $80

Sample standard deviation(s)=6.3

Significance level(α)=0.05

We have to test the claim that the true mean greater than $175.

The null and alternative hypotheses:

H₀ : μ = 175

H₁ : μ > 175

Here, Population Standard deviation is unknown and sample size is less than 30.

So we will use t- distribution.

Test Statistic t,

t   = ([tex]\bar x[/tex] - μ) / {s/√n}

t  =  (80−175) / (6.3 /√6)

t   =  (80−175) / (6.3 / 2.45)

t  = − 95 / 2.57196423

t = −36.937

degree of freedom (df) = n−1

                                     = 6−1

                                     = 5

p-value at  t = −36.937, df = 5 and α = 0.05

Absolute value of −36.937 = 36.937

Notice that 36.937 does not show up in the table, but it does fall between the two values 31.821 and 63.657.

So, p-value = 1

Since, p-value > α

That means, we fail to reject the null hypothesis (H₀).

Therefore, the true mean is not greater than $175.

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Given f(x) = -3x + 1, solve for a when ƒ(x) = −5.

Answers

Clearly f(x) is one-one onto function so it is invertible so  ƒ(x)  is y + -5 /3.

What one-one onto function ?

Each element of one set, let's say Set (A), is mapped with a particular element of another set, let's say Set (B), where A and B are two separate sets. This is known as a one-to-one function or one-to-one mapping. 1-1 is another way to write it. If f(x) = f(y) means that x = y, then f is one to one in terms of function.

Let  y = f(x) = -3x + 1

Clearly f(x) is one-one onto function so it is invertible.

⇒y = -3x − 1 ⇒ x = y+1 /-3

​∴f (x)= -5

y + -5 /3

Clearly f(x) is one-one onto function so it is invertible so  ƒ(x)  is y + -5 /3

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express 1.21 as percent​

Answers

Answer: 121%

Step-by-step explanation:

move the decimal place two to the right

13.A rectangle and a square have the same perimeter 120 cm. Find the side of the square. If the rectangle has a breadth 5cm less than that of the square. Find the breadth, length and area of the rectangle.

Answers

Answer:

Step-by-step explanation:

Five people each working eight hours a day can assemble 400 toys in a five day work week. What is the average number of toys assembled per hour per person?

Answers

Answer:

There are 5 people working and each person works 8 hours per day, so there are a total of 58 = <<58=40>>40 hours of work per day.

Over the course of the week, the total number of hours worked is 405 = <<405=200>>200 hours.

The total number of toys assembled is 400 and the total number of hours worked is 200, so the average number of toys assembled per hour per person is 400/200 = <<400/200=2>>2 toys per hour per person.      Answer:{2}.

Step-by-step explanation:

Four student government officers want to go to the state convention. It will cost them $100 for registration, $375 for transportation and food, and $41 per person for the hotel. There is $425 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip?

cars___?

Answers

Answer:

$100 + $375 + $41(4) = $516

$516 - $425 = $91

$91 / $5 = 18.2 cars

Therefore, the four student government officers must wash 18 cars in order to have enough money to pay for the trip.

"what is the median of the following values 9,9,2,8,11,6,4"

Answers

The median is 8 because it is right in the middle

Answer: 8

Step-by-step explanation:

Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:

2, 4, 6, 8, 9, 9, 11

The number eight appears to be in the very middle, therefore it is the median.

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