ROCKETS The height in feet of a rocket t seconds after launch is modeled
by h(t) =–16t2 + 72t. Find its average speed from 3 to 4 seconds.
F-56 ft/s
G40 ft/s H 40 ft/s
J 56 ft/s

Answers

Answer 1

The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Given the equation as a model, h(t) =–16t² + 72t.

Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]

Find h(4):

h(t) =–16t² + 72t

Substitute 4 for t in the equation h(t) =–16t² + 72t

h(4) = -16(4)² + 72(4)

h(4) = -256 + 288

h(4) = 32

Find h(3):

h(t) = -16t² + 72t

Substitute 3 for t in the equation h(t) =–16t² + 72t

h(3) = -16(3)² + 72(3)

h(3) = -144 + 216

h(3) = 72

Plug in the value into  [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:

average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]

Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Learn more about average rate of change on:

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Related Questions

What is the radical form of the expression 4 3/2?

Answers

Answer: D

Step by Step explanation:

Answer:

[tex]\sqrt{4^{3} }[/tex]

Step-by-step explanation:

4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]

since the numerator (3) represents the exponent, and the denominator (2) is the root

think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power

how to solve 1/2(x-6) = 1/2

Answers

Answer:

x=7

Step-by-step explanation:

1/2(x-6)=1/2

(1/2)(x)+(1/2)(−6)=1/2

1/2x+−3=1/2

1/2x−3=1/2

1/2x−3+3=1/2+3

1/2x=7/2

2*(1/2x)=2*(7/2)

x=7

tada!

What is the equation of the line that passes through
(-5, 0) and (4, 3)?

Answers

Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

The point-slope form of an equation for a line is  y = mx + b  (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]

At this stage, you know the slope and need to find the y-intercept.  Plug in one of the points (either one) into the equation.  Let's use (-5, 0).

[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]

The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex]   True!

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning. honey (tbsp) flour (c) 1 8 10 16 30 h

Answers

Your answer: A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches ... https://brainly.com/question/18026512

Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6

Answers

Answer:

x=0 ,y=6

Step-by-step explanation:

solve for the first variable in one of the equations

Write an equation for the situation: Kristian has $200 which is two times Alejo's money plus $20.​

Answers

Answer:

x= 2y + 20

Step-by-step explanation:

we could say kristian and alejo, Bob and Bill, shelled and Jackie or just about any other two words so let's call them x any y. kristian is x and also is y.

so kristian (x) has twice as much money plus another 20.

this means x has 2 times plus 20 more than y.

so x= 2y + 20

a painter has 3 gallons of paint and each will cover 420 ft of wall space. if the total area was 1800 ft what percent of the job could the painter finish with the paint he already has?

Answers

Answer:

23.33333%

Step-by-step explanation:

A golf retailer purchases its clubs from a wholesaler at $39 per club. It sells the same clubs to golfers at $76 per club. What is the markup on each club, as a percentage of the wholesale price?

Answers

Find the amount of the markup by subtracting:

76-39 = $37

Divide the amount of the mark up by the purchase price:

37/39 = 0.948 x 100 = 94.8%

Answer: 94.8 %. Round the answer as needed.

A bag of 8 apples costs $1.50 at Sam’s Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00

Answers

Answer:

cost for 18 apples:  $3.38

$5 will buy 26 apples

Step-by-step explanation:

let 'a' = apples

1.50/8 = cost per apple

$0.1875 for one apple

cost for 18 apples:  0.1875 x 18 = $3.38

5.00 / 0.1875 = number of apples for $5  → 26

Please look at picture for question.

Answers

Answer:

I believe the blue dot is on -10

Step-by-step explanation:

Counting from zero by 2's

0, -2, -4, -6, -8, -10,...

Hope this helps! :)

Identify the range of values for x.

Answers

Answer:   Overall, the steps for algebraically finding the range of a function are:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x). ...

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Evaluate.

16÷(2+1/2)2

(the 2 at the end is a 1 half to the 2 power)

Answers

PEMDAS, notice Parentheses is first, then Exponents 2nd

[tex]16\div\left(2 + \left( \frac{1}{2} \right)^2 \right)\implies 16\div\left(2 + \left( \frac{1^2}{2^2} \right) \right)\implies 16\div\left(2+\frac{1}{4} \right)[/tex]

now that the exponent got done, let's keep in the parentheses

[tex]16\div\left(\frac{2}{1}+\frac{1}{4} \right)\implies 16\div\left(\cfrac{8+1}{\underset{\textit{using this LCD}}{4}} \right)\implies 16\div \left( \cfrac{9}{4} \right)[/tex]

PEMDAS, after all that we'll do D, Division next

[tex]16\div \left( \cfrac{9}{4} \right)\implies \cfrac{16}{1}\div \cfrac{9}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{9}\implies \cfrac{64}{9}\implies 7\frac{1}{9}[/tex]

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

this just some addition to your previous posting, since you kinda got spammed some

[tex]\stackrel{\stackrel{\textit{E first}}{\downarrow }}{2^3}+4\cdot 2-7\implies 8+4\cdot 2-7\implies 8+\stackrel{\stackrel{\textit{M second}}{\downarrow }}{8}-7\implies \stackrel{\textit{AS last from left to right}}{16-7\implies 9}[/tex]

notice, PEMDAS, P first and so on, AS are last, from left to right.

round to nearest ten thousand
887,173​

Answers

887,000

if the number after is below 5, round down!


Find the slope of the line passing through the points (-7,8) and (-7,-6)
Find the slope of the line passing through the points (-9,-8) and (3,-8)

Answers

Answer:

1) undefined

2) 0

Step-by-step explanation:

Slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Problem 1:

(x1, y1) = (-7, 8)

(x2, y2) = (-7, -6)

Plug those 2 points into the slope formula and solve:

[tex]m=\frac{-6-8}{-7--7}\\\\m=\frac{-14}{0}[/tex]

Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:

[tex]x=-7[/tex]

Problem 2:

(x1, y1) = (-9, -8)

(x2, y2) = (3, -8)

[tex]m=\frac{-8--8}{3--9}\\\\m=\frac{0}{12}\\\\m=0[/tex]

The slope is 0, and that would make a horizontal line on a graph. The equation would be:

[tex]y=-8[/tex]

You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.

Inequality word problem
Step by step and explanation pls do the problem or report

Answers

Answer:

  34 hours or more

Step-by-step explanation:

If h is the number of hours Jack works, then his earnings will total 15h. He wants that to be at least 500. The appropriate inequality is ...

  15h ≥ 500

  h ≥ 33 1/3 . . . . . divide by 15

Jack needs to work 34 hours or more to earn at least $500.

A line passes through the point (-2,-6) and has a slope of 5/2. Write an equation in slope-intercept from this line.

Answers

Answer:    y = (5/2)x - 1

Slope = 5/2

y intercept = -1

======================================================

Work Shown:

m = 5/2 = slope

(x1,y1) = (-2,-6) = point the line goes through

y-y1 = m(x-x1) .... point slope form

y-(-6) = (5/2)(x-(-2))

y+6 = (5/2)(x+2)

y+6 = (5/2)x + (5/2)*2

y+6 = (5/2)x + 5

y = (5/2)x + 5 - 6

y = (5/2)x - 1

This equation is in slope intercept form y = mx+b

m = 5/2 = slope

b = -1 = y intercept

What is the difference between a credit score and a credit rating?
a.
A credit score and a credit rating are the same thing.
b.
A credit score is a measure of how much debt you have, and a credit rating is a measure of your creditworthiness.
c.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
d.
A credit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus.

Answers

A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.

What is a credit score and a credit rating?

A credit score is a number indicating your creditworthiness. A credit score usually lies between 300 and 850. A credit score is used to estimate how likely it is that you would pay your credit.

A credit rating is a measure of in letters that expresses the credit worthiness of an individual.

Answer:

c

Step-by-step explanation:

Hep help help help help math math

Answers

Answer:

5(37)+10

10(17.5)+5

Step-by-step explanation:

5x+10=180

-10 -10

5x=170

divide by 5

x=37

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

10x+5=180

-5 -5

10x=175

divide by 10

x=17.5

I need help solving please

Answers

Answer:

B.

Step-by-step explanation:

Range is all the set y values.

Answer:

See image

Step-by-step explanation:

The range is all of the y-values. Look at the points on the graph, and make a list of all the y's That will be the range.

a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?

Answers

Answer: 5in

Step-by-step explanation:

1/3x8/8=8/24

1/8x3/3=3/24

8-3=5

Which of the following will have the same value as 350 × 10?

Answers

Answer: 3500x1 or 35x100

Step-by-step explanation:

350x10=3500

3500x1=3500

35x100=3500

Complete the table for the equation Y=2x+3

Answers

Hope it helps.

Don't forget to click the Brainliest button and if you have any query, feel free to ask in the comment section.

Some government leaders propose allowing oil companies to drill in currently protected lands that may be rich in oil reserves. Environmental researchers argue that drilling in such lands would be harmful to the surrounding ecosystem. To measure support for drilling in such lands, an oil company representative uses random-digit telephone dialing to contact adults in the region and measure opinion for increased drilling. One question in the survey asks, "Given that an increase in drilling could result in increased tax revenue and additional jobs to the region, would you support a proposal to allow drilling in lands currently protected from drilling?" What type of bias could be most likely affecting the survey results? This is undercoverage bias because some segments of the population will be excluded from the sample. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling. This is voluntary res

Answers

The type of bias in this survey is question-wording bias because the question is influencing the response (option D).

Question-wording bias occurs when the words selected in the question influence a specific response. Here is one example:

Do you believe a cruel practice such as bullfighting should be forbidden?

In this question, the use of the word cruel qualifies bullfighting as negative, and therefore in most cases, people will answer that bullfighting should be forbidden.

This effect occurs in the question for this survey because the section given that an increase in drilling could result in increased tax revenue and additional jobs to the region indirectly states drilling is positive and therefore influences the response of those surveyed.

Note: This question is incomplete because some of the options are missing; here are the complete options:

What type of bias could be most likely affecting the survey results?

A. This is undercoverage bias because some segments of the population will be excluded from the sample.

B. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling.

C. This is voluntary response bias because those most passionate about drilling will be more likely to register an opinion.

D. This is question-wording bias because the information given at the start of the question may lead those surveyed towards a desired response.

Learn more about bias in: https://brainly.com/question/6078134

help no links I need answers​

Answers

Answer:

The answer is A im new to this id.k if you need help with the image or not sorry if that dosent answer your question but the answer is A for that picture.

Step-by-step explanation:

Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five. Let f represent the number of dollar bills. Write an expression of the number of nickels.

Answers

Answer:

since the number of nickels is 10 so the expression is5+5

The number of nickels is 10 so the expression is n = 3f - 5

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.

Consider that f represent the number of dollar bills.

The expression "The number of nickels is" is equivalent to "n =";

Also, "three times the number of five dollar bills" is equivalent to "3*f"

"eight less than three times the number of five dollar bills" is equivalent to      "3*f - 5"

Then the expression is n = 3f - 5

To know more about an expression follow;

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#SPJ2

What is the product?
(38b* )-822

Answers

Answer:

[tex]\boxed{\sf D)\:-24a^3b^7}[/tex]

Step-by-step explanation:

[tex]\sf (3a^2b^4)(-8ab^3)[/tex]

We'll use rule of exponents to simplify expression.

[tex]\sf 3^1a^2b^4(-8)^1a^1b^3[/tex]

Now, use the commutative property of multiplication.

[tex]\sf 3^1(-8)^1a^2a^2b^4b^4[/tex]

In order to multiply power of the same base, we add their exponents.

[tex]\sf 3^2(-8)^1a^{2+1}b^{4+3}[/tex]

→ Add exponents:

[tex]\sf 3^1(-8)^1a^3b^7[/tex]

→ Multiply 3* -8

[tex]\sf -24a^3b^7[/tex]

__________________________________________

A polygon with both equal angles and equal sides is called

Answers

Answer:

It's called a regular polygon

Answer:

A regular Polygon

Step-by-step explanation:

Here is my question ​

Answers

Answer:

[tex]\frac{17}{24}[/tex]

Step-by-step explanation:

Step 1 :

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

Step 2 :

1 ÷ 2 [tex]\frac{2}{5}[/tex] = 1 × [tex]\frac{5}{12}[/tex] = [tex]\frac{5}{12}[/tex]

Step 3:

[tex]\frac{2}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8+5}{12}[/tex] = [tex]\frac{13}{12}[/tex] = 1 [tex]\frac{1}{12}[/tex]

Step 4:

3 ÷ [tex]\frac{13}{12}[/tex] = 3 × [tex]\frac{12}{13}[/tex] = [tex]\frac{36}{13}[/tex] = 2 [tex]\frac{10}{13}[/tex]

Step 5:

1 - 2 [tex]\frac{10}{13}[/tex] = - 1 [tex]\frac{10}{13}[/tex] = - [tex]\frac{23}{13}[/tex]

Step 6:

1 - [tex]\frac{16}{39}[/tex] = [tex]\frac{23}{39}[/tex]

Step 7:

[tex]\frac{23}{39}[/tex] ÷ ( - [tex]\frac{23}{13}[/tex] ) = - [tex]\frac{23}{39}[/tex] × [tex]\frac{13}{23}[/tex] = - [tex]\frac{1}{3}[/tex]

Step 8:

[tex]\frac{3}{8}[/tex] - ( - [tex]\frac{1}{3}[/tex] ) = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{9+8}{24}[/tex] = [tex]\frac{17}{24}[/tex]

How many cups of cream would you need for 7 cups of sugar

Answers

Answer:

sugar is bad so just use cream

Step-by-step explanation:

sugar can increase the risk of weight gain, diabetes, tooth cavities, and more.

hope this helps

6. Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank after 2 trips to the grocery store.​

Answers

Answer:

14.5 ≥ g(1.5)

g = The number of trips to the grocery store.

You will have 11.5 gallons left.

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