Calculate the average rate of change from 3 to 9 seconds, in feet per second

Calculate The Average Rate Of Change From 3 To 9 Seconds, In Feet Per Second

Answers

Answer 1

Answer:

D is the Answeer

Step-by-step explanation:

Answer 2

Average rate of change from 3 to 9 seconds is -0.475 feet per second

What is Average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval

Given,

P(t) represents the height in feet and t represents the time in second

At t= 3 second, P(t) = 6.26 feet

At t=9 second, P(t) = 3.41 feet

Average rate of change = [tex]\frac{P(b)-P(a)}{b-a}[/tex]

Substitute the values in the equation

Average rate of change = [tex]\frac{P(9)-P(3)}{9-3}[/tex]

[tex]=\frac{3.41-6.26}{9-3}\\=\frac{-2.85}{6}\\[/tex]

= -0.475 feet per second

Hence, the Average rate of change from 3 to 9 seconds is -0.475 feet per second

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Related Questions

HELP HELP HELP help help

Answers

Answer:

C

Step-by-step explanation:

A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange.
They also need $7.30 for 1 apple and 2 oranges. We put this information into a system of linear equations,

Answers

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30

It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?​

Answers

Answer:   43 messages

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

21.90/146=.15

6.45/.15=43

what is one hundredth less than 0.549

Answers

Answer:

0.449

Step-by-step explanation:

one hundreth is this 0.100 so if u take that away from 0.549 u get 449

Help me out hereeeeeeeeeeeeeeeeeeee

Answers

Answer:

21 DIVIed by 3/7

Step-by-step explanation:

Answer:

12 stamps

Step-by-step explanation:

21 * 3/7 = 9 (to the sister)

21 - 9 = 12 (what he has left)

What is the measure of the third angle of a triangle if one angle measures 35 degrees and the second angle measures 40 degrees?

Answers

Step-by-step explanation: It's important to understand that the sum of the measures of the interior angles of a triangle is always 180 degrees.

So let's first add up the measures of the two angles we know.

So we have 30 + 4 which is 75 degrees.

The missing angle will be equal to 180 minus 75.

So the missing angle measure is 105 degrees.

The table below shows the commission for selling cameras in a
shop for one month.
For the first 20 cameras
$150 total
For every additional camera
$15 per camera
John received a $1,110 commission by selling cameras last
month. How many cameras did he sell last month?
cameras

Answers

Answer:

84

Step-by-step explanation:

You first do 1,110-150= 960 dollars.

Then you divide 960 by 15 dollars = 64 cameras

So the first 20 cameras plus the 64 cameras equal 84 cameras.

Fill in the missing number to complete the linear equation that gives the rule for this table. Explain/show how you got your answer in
as much detail as you can.

Answers

Answer:

y = x - 1

Step-by-step explanation:

To create a linear equation in the slope-intercept form, which is in the form of y = mx + b, we need to find the slope/rate of change, m, and the y-intercept, b.

Rate of change can be calculated using two pairs, (3, 2) and (4, 3)

Rate of change/slope (m) = [tex] \frac{f(b) - f(a)}{b - a} [/tex],

Where,

b = 4

f(b) = 3

a = 3

f(a) = 2

Plug in the values

[tex] \frac{3 - 2}{4 - 3} = \frac{1}{1} [/tex]

m = 1

Plug in x = 3, y = 2 and m = 1 into y = mx + b

2 = 1(3) + b

Solve for b

2 = 3 + b

Subtract 3 from each side

2 - 3 = b

-1 = b

b = -1

Substitute m = 1 and b = -1 into y = mx + b.

y = 1(x) +(-1)

y = x - 1

The linear equation that gives the rule for this table is y = x - 1

What is 77/42 simplified into a fraction? My son needs help and he’s balling over it i feel very bad.☺️

Answers

Answer:

77/44 = 1 and 3/4

Step-by-step explanation:

77/44 can be simplified to 7/4 if you divide the numerator and denominator by 11.

4 can go into 7/4 1 time which leaves a remainder of 3/4

I hope this helped!

1 5/6 42 goes into 77 once.


step by step explanation:
so the whole number would be 1
77-42=35
so it’d be 1 35/42
the greatest common factor of 35 and 42 is 7.
divide both by 7
place whole number in front
final answer: 1 5/6


hope this helps!

12(x-6)=2(x-9) solve the following equation

Answers

Answer:

x= 27/5

Step-by-step explanation:

for this equation in decimal form it would be 5.4

You and three friends order pizza for large drinks in a loaf of Chi's bread you split the cost evenly with your friends what order of operations would you use to find out how much each person would pay

Answers

Answer:

I believe it would be division.

Step-by-step explanation:

Sorry if its wrong, i havent done a question like this in a long time, please forgive me!

Which of the following statements best describes the end of the decimal conversation of a rational number

Answers

Answer:

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.

Step-by-step explanation:

Convert the fraction 7/12

to a decimal.

7/12=0.583¯

This is a repeating decimal.

The bar over the number, in this case 3, indicates the number or block of numbers that repeat unendingly.

If m∠ABD = 100 and m∠DBC = 30, then m∠ABC=?

Answers

The measure of angle ABC is 130 degrees

How to determine the measure of ABC?

The angles are given as

ABD = 100

DBC = 30

The measure of angle ABC is calculated using

ABC = ABD + DBC

So, we have

ABC = 100 + 30

Evaluate the sum

ABC = 130

Hence, the measure of angle ABC is 130 degrees

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Answer: CD=AD

Step-by-step explanation: i have a tutor for math and he helped me plus i took the test in flvs and its right

Cual es el conciente de 8)240

Answers

Answer:

30

Step-by-step explanation:

jehdnjdidndjdidi

write an equation of a line that passes through the point (3,-4) and is parallel to y=-5x+2

Answers

answer: y=-5x-4
explanation:it just is

Consider a square whose sides are of length x. Draw the largest circle that is completely contained within the square. Find the area of the region that is inside the square and but not inside the circle. Express your answer in terms of x and any other mathematical constants that may be necessary.

Answers

Answer:

A₁ = x²* ( 1 -  π /2)  square units

Step-by-step explanation:

Let´s call the area of the region that is inside the square but not inside the circle A₁

And the area of the square A(s)

And the area of the circle A(c)

Then  the area we are looking for is:

A₁  =  A(s) - A(c)

If the circle has a radius   r then

A(c) = π*r²

A(s) = x²

In the square diagonal of the square is d = √ x² + x²  ;  d = √2 * x

Half of this distance is  d/2 = (√2 /2)*x

There is a right triangle with points:

o The center of the square (which is the center of the circle)

a  Any of the corners of the square

b  Middle point of a side of the square

According to that

r the radius of the circle is:

r² + (x/2)²  = (d/2)²

r² + (x/2)²  = [ (√2 /2)*x]²

r²   =  (2/4)*x² - x²/4

r²   = (x²/2) - x² / 4

r²   = (1/2)*x²

r  =  x/√2

Then the area of the circle is

A(c) = π * r²

A(c) =  π * x²/2

And  A₁  = x² -  π * x²/2

A₁ = x²* ( 1 -  π /2)  square units  or   A₁ =[ ( 2 -  π)/2 ]*x²

Which value in the set of values below is NOT a solution to the inequality 10- 2y ≥ 4?
Set: {1, 2, 3, 4}
1. 1
2. 2
3. 3
4. 4

Answers

Answer:

Option 4: 4 is the correct answer

Step-by-step explanation:

The given inequality is:

10- 2y ≥ 4

In order to check which value is not the solution to the inequality we have to put each value in the inequality. If the inequality is true for the value, it is the solution and it is not true then it is not the solution.

Putting y = 1

[tex]10-2y\geq 4\\10-2(1)\geq 4\\10-2\geq 4\\8\geq 4[/tex]

TRUE

Putting y=2

[tex]10-2y\geq 4\\10-2(2)\geq 4\\10-4\geq 4\\6\geq 4[/tex]

TRUE

Putting y=3

[tex]10-2y\geq 4\\10-2(3)\geq 4\\10-6\geq 4\\4\geq 4[/tex]

TRUE

Putting y=4

[tex]10-2y\geq 4\\10-2(4)\geq 4\\10-8\geq 4\\2\geq 4[/tex]

FALSE

The inequality is not true for y=4.

Hence,

Option 4: 4 is the correct answer

5/4 divided by 3/5= what fraction

Answers

Answer:

Improper fraction: 25/12

Mix number fraction: 2 1/12

Decimal: 2.083333333...

Step-by-step explanation:

5/4 divided by 3/5 is the same as 5/4 times 5/3

5 times 5/4 times 3

25/12

Answer:

25/12

Step-by-step explanation:

when dividing a fraction, you flip the divisor, so the 3/5 will become 5/3

when you flip the divisor, you flip the sign too, the sign right now is ÷

the opposite of ÷ is ×

so now you have 5/4 × 5/3

multiply the numerators: 5 x 5 = 25

multiply the denominators: 4 x 3 = 12

so now you have 25/12

this fraction cannot be simplified, so 25/12 is your answer

HELP!
the choices are: Function A has a greater slope than function B.

Function B has a greater slope than function A.

Answers

Answer:

Function A has a greater slope than function B.

Step-by-step explanation:

A's slope is 2x

Complete each congruent statement by naming the corresponding angles or side.

Answers

Answer:

blank 1: E

blank 2: R

blank 3: EC

blank 4: TS

Patterns plz help I’ll mark brainliest

Answers

Answer:

you add 4 each time

Step-by-step explanation:

Answer:

Pattern is Input • 4 + 1

Write an equation in standard form that has a slope of -1 and passes through the point (-5, -1).

Answers

Answer:

x + y = -6

Step-by-step explanation:

Answer:

y = -x-6

Step-by-step explanation:

For this problem we use point-slope formula:

y-y1 = m (x2-x1)

When we plug in our values, it looks like this:

y-(-1) = -1 (x-(-5))

When we rearrange into slope-intercept form, we get this:

y = -x-6

HTH :)

What is true about the graph of the line y = -3x + 4?

Answers

Answer: There u go ig

Step-by-step explanation:

please help

Which linear regression equation best fits the given points?

(1, 0), (4, 5), (5, 12), (7, 16), (8, 25), (11, 22), (14, 32)




yˆ=25x+1.9

yˆ=−52x−1.9

yˆ=52x−1.5

yˆ=−25x+1.5

Answers

Answer:

I dont know. Im sorry im struggling with this problem too. I hope you get an answer :)

If AB || CD and AC≅BD, is ACD ≅ CAB? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.

Answers

Answer:B. Yes; the triangles are congruent by ASA.

Step-by-step explanation:

In triangle ACD and CAB, AB || CD and AC ≅ BD, B. Yes; the triangles are congruent by ASA.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given,

In triangle ACD and CAB, AB || CD and AC ≅ BD.

Therefore, The triangles ACD and CAB are congruent by ASA as ∠A is congruent to ∠C, Side AB is congruent to side CD and ∠B is congruent to ∠B.

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write the product as a sum: 14cos(39x)sin(19x)

Answers

Recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

Adding these together gives

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

To get 14 cos(39x) sin(19x) on the right side, multiply both sides by 7 and replace a = 19x and b = 39x :

7 (sin(19x + 39x) + sin(19x - 39x)) = 14 cos(39x) sin(19x)

7 (sin(58x) + sin(-20x)) = 14 cos(39x) sin(19x)

7 (sin(58x) - sin(20x)) = 14 cos(39x) sin(19x)

HELP WHATS THE SLOPE OF THE LINE PARALLEL TO 4x+2y=24

Answers

Answer:

slope of -2

Step-by-step explanation:

the slope of this equation is -2 and the parallel slope would be the same slope.

PLEASE HELP ASAP! Which of the following statements is true ?

x > z
x < z
x = z

Answers

Answer:

x < z is true

Answer:

x<z is true

Step-by-step explanation:

Write the equation of a line that is perpendicular to Y= 4 and that passes through (7,2)

Answers

Answer:

x = 7

Step-by-step explanation:

y = 4 is a horizontal line that passes through the point (0, 4).

A line perpendicular to y = 4 is a vertical line.

In a vertical line, all points have the same x-coordinate.

Since the point (7, 2) is on the vertical line we want, and its x-coordinate is 7, then x-coordinate of all the points on the line we want is 7.

Answer: x = 7

HELP PLS JUST FIND THE CORRECT ANSWER:

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

{ 1,2,3,4,5,6,7}

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