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Some children measured the lengths of their feet. The lengths are given in the line plot. What is the difference in length between the shortest and longest foot?

Answer:

y = x + 5

Step-by-step explanation:

We need to find the inverse of the given relation . Firstly replace x with y and then solve for y to get the inverse . We have ,

=> y = x - 5

=> x = y - 5

=> y = x + 5

The required equation that represent or approximate the population is:

[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]

To represent the population, P, as a function of time in days, t, we need to find an exponential growth equation.

Since the population grows exponentially by a factor of 3 every week, we need to convert the weekly growth to daily growth.

Let's break down the problem step by step:

Now, we can represent the population, P, as a function of time, t, using the exponential growth equation:

[tex]\mathrm P(t) = \mathrm{Initial \ Population} \times \mathrm {Growth \ Factor}^t[/tex]

where:

Initial Population (Po) = 1,500 (given)

Growth Factor per day = [tex]3^{(1/7)[/tex]

So, the equation representing the population as a function of time in days is:

[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]

Hence the required equation that represent or approximate the population is:

[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]

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Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

x + 14 = 5x - 74 (corresponding angles are equal to each other)

[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]

Answer:

22

Step-by-step explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

Answer:

price for senior citizen is $11

price for child ticket is $8

Answer:

30 cm ^3

Step-by-step explanation:

Volume = Length x Width x Height

L and W =6cm^2

H=5cm

Hope this helps!

Answer:

[tex]y = -\frac{1}{4}x^{2} + 5x + 3[/tex]

Answer:

sorry I think yr question is incomplete.

u forget to add picture.

Answer:

B, D, E

Step-by-step explanation:

Answer:

Okay very easy, The answer is: She sold 5 cupcakes.

Step-by-step explanation:

She sold 5 cupcakes

Because if you add 3 till you get to 15 you get 5

Answer:

120

Step-by-step explanation:

That's a guess, but it's the most logical one.

Answer:

1. (5,7)

2. (8,0)

3. (2,1)

4. (4,22)

5. (-3,78)

6. (2,10)

7. (3,9)

8. (-2,1)

Step-by-step explanation:

Answer:

A) The probability of picking a yellow ball from the bag is 26.66%.  

B) The probability of picking a blue ball from the bag is 40%.  

C) The probability of picking a yellow ball and then a blue ball is 11.42%.

Step-by-step explanation:

Since a bag contains 4 yellow balls, 5 red balls, and 6 blue balls, to determine what is the probability of picking a yellow ball from the bag, what is the probability of picking a blue ball from the bag and what is the probability of picking a yellow ball and then a blue ball after replacement, the following calculations must be performed:

A)

4 + 5 + 6 = 100

4 = X

15 = 100

4 = X

4 x 100/15 = X

400/15 = X

26.66 = X

Therefore, the probability of picking a yellow ball from the bag is 26.66%.

B)

15 = 100

6 = X

6 x 100/15 = X

600/15 = X

40 = X

Therefore, the probability of picking a blue ball from the bag is 40%.

C)

14 = 100

6 = X

6 x 100/14 = X

600/14 = X

42.85 = X

0.2666 x 0.4285 = X

0.1142 = X

Therefore, the probability of picking a yellow ball and then a blue ball is 11.42%.

Answer:

64 is the mode and

it goes from 64, 64, 66,67, 70, 75, 79, and 80, so the range is 80- 64 which is 16

Step-by-step explanation:

Answer:

P = 25 + (15)n

Total amount paid by David = $100

Step-by-step explanation:

Given:

Fixed cost of renting chain saw =  $25

Variable cost of renting chain saw =  $15 per hour

Time taken = 5 hour

Find;

Total amount paid by David

Computation:

Assume;

Total amount paid by David = P

Time taken = n

So,

P = 25 + (15)n

P = 25 + (15)(5)

P = 25 + 75

P = 100

Total amount paid by David = $100

Answer:

4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Let A, B and C be the required expression, according to Associative property;

(A+B)+C = A+(B+C)

This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.

From the given expression, the expression that is equivalent using the Associative Property of Multiplication is  4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Note that the product of the values in bracket do not affect the final values

4(2a ⋅ 5) = 4(10a) = 40a

(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a

You can see that both expressions gives the same values

Answer:

15.025 L

Step-by-step explanation:

25 mL = 25 ml * 1 L/1000 mL = 0.025 L

15 L + 0.025 L = 15.025 L

Answer:

Use the slope formula and slope-intercept form  y = mx + b to find the equation you get:

y = 8x

If thats not what your looking for then for every 1 (x) you get 8 (y)

Step-by-step explanation:

Answer:

49 is the answer.

Step-by-step explanation:

[tex] - 11 \frac{2}{3} \times - 4 \frac{1}{5} [/tex]

[tex] - \frac{35}{3} \times - \frac{21}{5} [/tex]

[tex] - 7 \times - 7 = 49[/tex]

Answer:

A. Area - space inside a figure perimeter - distance around figure

Step-by-step explanation:

I calculated it logically

Answer:

B

Step-by-step explanation:

Answer:

The answer would be B!

9514 1404 393

Answer:

  B.  √900

Step-by-step explanation:

The solutions to the equation are ...

  x = ±√900 = ±3√100 = ±10√9 = ±30

Of the offered choices, the only one that matches any of these is ...

  √900

Answer:

slope: 5/2

Step-by-step explanation:

Answer:

the linear model is most appropriate, the r2 on the linear model is stronger

Step-by-step explanation:

did it on edge

Answer:

The linear model is most appropriate; The r^2 on the linear model is stronger.

Step-by-step explanation:

When compared side bu side you can see the differences.

Answer:

Step-by-step explanation:

She has cooked 75 times

Answer:

a-17b+475

Step-by-step explanation:

Let's simplify step-by-step.

−17b+a+235+240

Combine Like Terms:

=−17b+a+235+240

=(a)+(−17b)+(235+240)

=a+−17b+475

Answer:

=a−17b+475

The estimate's percent error is 4%, to the closest percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Find the difference between the estimate and the actual value:

Actual value - Estimated value = 676 - 650 = 26

The absolute value of the difference is 26, indicating that the actual value exceeded the estimated value.

Next, we need to find the relative error, which is the difference divided by the estimated value:

Relative error = Difference / Estimated value = 26 / 650

Finally, we can convert the relative error to a percentage by multiplying it by 100:

Percent error = Relative error x 100 = 26 / 650 x 100 ≈ 4

Therefore, the percent error, to the nearest percent, of the estimate is 4%.

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Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Answer:

c

Step-by-step explanation:

6x9=54

54/2= 27

Answer:

27 square units

Step-by-step explanation:

Area of a triangle = (1/2)(base)(height)

A = 1/2(6)(9)

A = 1/2(54)

A = 27

Answer:

C:4 cm, 8 cm, 5 cm

Step-by-step explanation:

sum of length of any two sides of a triangle will be larger than the third side.