What is her average rate of change, in miles per hour, during the interval of 0.75 to 1.00

Answer:

10000

Step-by-step explanation:

Let the number = x

Square root of x divided by 5 equals 20

√x / 5 = 20

Using cross multiplication

√x = 20 * 5

√x = 100

Take the square of both sides

(√x)² = 100²

x = 10000

Therefore, the number is 10000

Answer:

This is not really clear, I will assume that the values in the question are:

{0, 1, 0, 2, 3, 2, 3, 4}

For a set of N elements, {x₁, x₂, ..., xₙ}

The mean of the set is given by:

[tex]Mean = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In the case of our set, {0, 1, 0, 2, 3, 2, 3, 4}, we have 8 values.

Then the mean of our set is:

[tex]Mean = \frac{0 + 1 + 0 + 2+ 3 + 2 + 3 + 4}{8} = \frac{15}{8} = 1.875[/tex]

Answer:

9 units

Step-by-step explanation:

Given

[tex]Length = 8[/tex]

[tex]Width = 4[/tex]

[tex]Height = 1[/tex]

Required

Determine the length of the longest segment

To do this, we use:

[tex]Longest = \sqrt{Length^2 + Width^2 + Height^2}[/tex]

So, we have:

[tex]Longest = \sqrt{8^2 + 4^2 + 1^2}[/tex]

[tex]Longest = \sqrt{64 + 16 + 1}[/tex]

[tex]Longest = \sqrt{81}[/tex]

Take positive square root

[tex]Longest = 9[/tex]

Hence, the length of the longest segment is 9 units

Answer:

Answer is A.

Step-by-step explanation:

x^2-15x-16

x^2+x-16x-16

x(x+1)-16(x+1)

(x+1)(x-16)=0

x=-1 and x=16

Answer:

a  

Step-by-step explanation:

hope this help u  and  hope u get a good grasde :}

Answer:

A) x < 9

Step-by-step explanation:

Here we have an open circle. Open circles are used for greater than signs (>) and less than signs (<).

Since we have an open circle, we can eliminate option C and option D.

Now, we look at the number line.

The point is at 9, and the line from the point is going towards the left (where the smaller numbers are.)

9 is greater than every number is going toward.

**Let x represent every number is going toward.**

Therefore, x < 9.

Answer:

A=65

B=40

C=75

Step-by-step explanation:

C= 180-65-40

=75°

Answer:

10 would be the answer.

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation:

if force equals mass times acceleration then you divide 7.92(the force) by 3.6(the mass) to find out what would be multiplied by 3.6 to get 7.92.

Sorry if I'm wrong.

The acceleration of an object with F=7.92 newtons and m=3.6 kilograms is 2.2 m / s²

Force is a pull or push upon an object that causes motion .

Mathematically, force is express as follows:

F = ma

where

m = mass

a = acceleration

Force is measured in Newton.

Let's find the acceleration of an object with F =7.92 newtons and m = 3.6 kilograms.

7.92 = 3.6a

divide both sides by 3.6

a = 7.92 / 3.6

a = 2.2 m / s²

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Answer:

Cost of 1 CD = x = £3

Cost of 1 DVD = y = £7

Step-by-step explanation:

Let us represent:

Cost of 1 CD = x

Cost of 1 DVD = y

i. Form a pair of simultaneous equations to represent these two sentences

2 CDs and 9 DVDs cost £69.

2x + 9y = 69.... Equation 1

2 CDs and 6 DVDs cost £48.

2x + 6y = 48..... Equation 2

ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.

Combining both equations together:

2x + 9y = 69.... Equation 1

2x + 6y = 48..... Equation 2

We substract Equation 2 from Equation 1

3y = 21

y = £7

Solving for x using Equation 1

2x + 9y = 69.... Equation 1

2x + 9 × 7 = 69

2x + 63 = 69

Collect like terms

2x = 69 - 63

2x = 6

x = 6/2

x = £3

Therefore,

Cost of 1 CD = x = £3

Cost of 1 DVD = y = £7

Formula:2 pi R

R=5

5*2=10

3.14*10=34.1

The circumfrence is 34.1

34.1

Answer:

nhjkjhhjjjfghlkajshdii

Step-by-step explanation:

kjkkkk

Answer:

Just put in the values in the equation for example 4(1)-5<7 and solve it if the eqution is true at the end than that the right answer

Step-by-step explanation:

Answer:

x = 2

x < 2

x < 3

Step-by-step explanation:

2x + 5 = 9

Since there is an addition sign in front of 5, you must do the opposite: subtraction. Subtract 5 from 9.

9 - 5 = 4.

Lastly, divide the difference by the number in front of x (2).

2x = 4

4 ÷ 2 = 2

x = 2

--------------------------------------------------------------------------------------------------------------

2x + 5 < 9

Again, subtract 5 from 9.

9 - 5 = 4

Lastly, divide the difference by the number in front of the x (2).

2x = 4

4 ÷ 2 = 2

x < 2

--------------------------------------------------------------------------------------------------------------

4x - 5 < 7

Since there is a subtraction sign in front of the 5, you must do the opposite: addition. Add 5 to 7.

5 + 7 = 12

Lastly, divide the sum by the number in front of the x (4).

4x = 12.

12 ÷ 4 = 3

x < 3

Answer: No, she needs 3 more pies.



Step-by-step explanation:

Hi, no she does not have enough pie, you would know by multiplying the amount of pies she has by 4, as she promised to give them 1/4 of a pie each, leaving her to only have 24 pieces in toShe would need at least 9 pies to have enough for all 35 students, plus an additional 1/4 sized slice left over.

Answer:

Answer to B - 20

480 + 96 = 600

Step-by-step explanation:

12 x 40 = 480

5 x 4 = 20

Answer:

-8,-6

Step-by-step explanation:

Answer:

D: $2,000

Step-by-step explanation:

If im wrong contact me at Mousycritter#2842 on discor.d if you seek more help

Answer:

each glass would contain 1/12 quart of milk

Step-by-step explanation:

1/4 divided by 3 is 1/12, so each glass would contain 1/12 quart of milk

Answer:pretty sure B and E

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Since the scale factor is , we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is  of the bigger one, we can make the equation

.

To solve for x, we can divide both sides by  .

We can multiply by the reciprocal:

Hope this helped!

The correct answer is A

A) [tex]8(-10)=10(-10)+20[/tex] becomes [tex]-80 = -80[/tex]

B) [tex]8(-35)=10(-35)+20[/tex] becomes [tex]-280 \neq -330[/tex]

C) [tex]8(-23)=10(-23)+20[/tex] becomes [tex]-184 \neq -210[/tex]

D) [tex]8(-40)=10(-40)+20[/tex] becomes [tex]-320\neq -380[/tex]

Step-by-step explanation:

tell me the answer when u get too!!

btw its 557/1980

The proof is shown in the solution.

A repeating decimal or recurring decimal is a decimal representation of a number whose digits are periodic, and the infinitely repeated portion is not zero.

Given that, show that the recurring decimal 0.2813 = 557 / 198

Let 0.2813 be x

0.2813 = x......(i)

2813.2813 = 10000x......(ii)

Subtracting eq(i) from eq(ii)

2813 = 999x

x = 2813 / 999

x = 557 / 198

Hence, proved

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Answer:

https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20

Step-by-step explanation:

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

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Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

First, we determine the cost function for all the three rides.

Ride A

From the graph, we have the following points

[tex](x_1,y_1) = (0,8)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Calculate slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12-8}{2-0}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 2(x - 0) + 8[/tex]

[tex]y = 2(x) + 8[/tex]

[tex]y = 2x + 8[/tex]

So, the cost function is:

[tex]C(x) =2x + 8[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 2*0+8 = 8[/tex]

So, we have:

[tex]C(0) = 8[/tex] --- Admission Charge

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

From the table, we have the following points

[tex](x_1,y_1) = (0,12)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

Calculate slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{15-12}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

[tex]m = 0.75[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 0.75(x - 0) + 12[/tex]

[tex]y = 0.75(x) + 12[/tex]

[tex]y = 0.75x + 12[/tex]

So, the cost function is:

[tex]C(x) = 0.75x + 12[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 0.75*0 + 12=12[/tex]

So, we have:

[tex]C(0) =12[/tex] --- Admission Charge

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

No additional fee;

So, the cost function is;

[tex]C(x) = 30[/tex]

In summary, we have:

Ride A

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

[tex]C(x) = 30[/tex] --- Cost function

By comparison

Ride A has the highest rate per ride of (#2), followed by ride B with a rate  of #0.75 per ride.

Ride C has no charges per ride

The impact on the total cost is that:

Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take

Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take

For A and B, the overall cost depends on the number of rides taken.

Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30

Answer: look at image below. it shows you the steps

Step-by-step explanation:

Hope this helped :)

The ladder and the top of the building form a right triangle

The building is 20.8 feet tall

The given parameters are:

The height (h) of the building is calculated using the following Pythagoras theorem

L^2 = b^2 + h^2

So, we have:

39^2 = 33^2 + h^2

Evaluate the exponent

1521 = 1089 + h^2

Rewrite as:

h^2 = 1521 - 1089

h^2 = 432

Take the square root of both sides

h = 20.8

Hence, the building is 20.8 feet tall

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Answer:$4029

Step-by-step explanation:

Given

Principal amount [tex]P=\$8000[/tex]

Interest rate [tex]R=6\%[/tex]

Time period [tex]T=7\ yr[/tex]

Amount after T years is given by

[tex]A=P[1+R\%]^T[/tex]

Put values

[tex]\Rightarrow A=8000[1+0.06]^7\\\Rightarrow A=\$12,029[/tex]

Interest is the difference of amount and principal, that is

[tex]\Rightarrow C.I.=12,029-8000=\$4029[/tex]

Answer:

x = 42

Step-by-step explanation:

i hope this helps :)