LAN tosses a bone up In the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented by the function h(t) = -16t^2 + 20t. What is Spots average rate of ascent, in feet per second, from the time she jumps into the air to the Time she catches the bone at t = 1/2 second?

Answers

Answer 1

Answer:

The rate of change is 12ft/s

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 20t[/tex]

Required

Rate of change from when she jumps till 1/2s

The time she jumps is represented as: t = 0

So, calculate h(0)

[tex]h(t) = -16t^2 + 20t[/tex]

[tex]h(0) = -16 * 0^2 + 20 * 0 = 0[/tex]

At t = 1/2

[tex]h(t) = -16t^2 + 20t[/tex]

[tex]h(1/2) = -16 * 1/2^2 + 20 * 1/2 = 6[/tex]

Rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

Where

[tex](a,b) = (0,1/2)[/tex]

So, we have:

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

[tex]Rate = \frac{h(1/2) - h(0)}{1/2 - 0}[/tex]

[tex]Rate = \frac{6 - 0}{1/2 - 0}[/tex]

[tex]Rate = \frac{6}{1/2}[/tex]

[tex]Rate =12[/tex]

The rate of change is 12ft/s


Related Questions

Matt tried to evaluate 49 x 24 using partial products. His work is shown below

Answers

Answer:

step 5

Step-by-step explanation:

Help please fast and don’t say files

Answers

Answer: H.

Explanation: Graph H is the only graph with the line point to less than or equal to -5

Renee is a sales associate at a store. She earns $80 a week plus a 15% commission on her sales. Last week, she sold $200 worth of items. What is the total amount Renee earned for the week? How much did she earn from commission?
Renee earned a total of $
for the week. The amount she earned from commission was $
.

Answers

Answer:

The amount earned for the week=$110

Amount earned from commission =$30

Step-by-step explanation:

commission earned on sales = $200×15%= $30

total amount for the week=$80 +$30= $110

What’s the answer???

Answers

Answer:

Question 7 = $2

Question 8 = $16

Question 7
7 - 1 = 6
6/3 = 2
The answer is $2

Question 8
12 - 4 = 8
The answer is $8

Can I get help with number 15 am stuck

Answers

your answer is gonna be C !!

The first pentagon is dilated to form the second pentagon.

Drag and drop the answer to correctly complete the statement.

Will Mark Brainlist =)

Answers

Answer:

2

Step-by-step explanation:

Answer:

2 is answer i promise

Step-by-step explanation:



A line that includes the points (-2, c) and (-1, 10) has a slope of 2. What is
the value of c?

Answers

Answer:

8

Step-by-step explanation:

m = (Y2-Y1) ÷ (X2- X1) 2 = (10-c) ÷ (-1-(-2)) 2 = (10-c) ÷( 1)2= 10-cc = 10-2c= 8

(-2,c) and (-1,10)

10-c

-1--2

10-c

1

We need the fraction to be 2, or 2/1. The bottom number is 1, so we technically already have the answer. But we still need to plug in a number for c. To get 2, we need to subtract 8 from 10.

So c is 8.

---

hope it helps

sorry my work was a mess

A cylindrical canister has a radius of 7 cm and a height of 16 cm. Find the volume of
the canister.
pls show your work thx pls help me will give brainly.

Answers

Answer:

7/16 = 0.4375

Step-by-step explanation:

sry

Shanna deposit 11,500 and leaves the funds in her account for 14 years how much will she have if the interest rate of the bank offered 4.9%

Answers

Hello!

This is a problem about interest rates.

Since we are not given the "[tex]n[/tex]" value, how many times this interest applies per time period, we can assume that we are most likely dealing with simple interest with an annual interest rate.

The simple interest formula is as follows,

[tex]A=P(1+rt)[/tex]

Where [tex]A[/tex] is the total amount, [tex]P[/tex] is the initial principal balance, [tex]r[/tex] is the annual interest rate, and [tex]t[/tex] is time in years.

Since we are given all this information, we can just solve after converting the interest rate of 4.9% to a decimal, which is 0.049.

[tex]A=11500(1+0.049*14)[/tex]

[tex]A=11500(1.686)[/tex]

[tex]A=19389[/tex]

So at the end of the 14th year, Shanna will have $19,389 in her account.

Hope this helps!

20 POINTS‼️‼️Which of the following does NOT represent the number of months in a year?
A and b are in the attached photo.
C. y= 12x, where x represents the number of years and y represents the number of months
D. There are 96 months in 8 years.
‼️PLEASE DO YOUR BEST TO SHOW WORK FOR BRAINLIEST‼️​​

Answers

Answer:

B because when you multiply the first number by twelve the first two are correct but the second ones are not

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

12 times 6 = 72, not 60

Calculate the volume of 2.45 moles of hydrogen gas at STP.

Answers

One Mol of any gas occupies a volume of 22.4

We have been given the number of miles of hydrogen and the volume of any gas at STP

Therefore you can use that and substitute it into the formula to calculate the Volume of hydrogen for that number of moles

!!!!NEED HELP ASAP DUE SOON!!!!!This table of values represents a linear function. Enter an equation that represents the function defined by this table of values.

Answers

Answer:

y=3x+6

Step-by-step explanation:

Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.

The graph of the function is shown below

Which of the following functions best represents the graph ?
A) y= 0.5(2.5)^x
B) y= 3.5x^2 + 0.5
C) y= 0.5(6)^x
D) y= 0.5x+2.5

Answers

Answer:

B) y=3.5x^2 +0.5

Step-by-step explanation:

the (0,0.5) tells you what the y-intercept is :)

hope this helps :)

B is the answer of the question above.

help lol..............

Which table below does not represent a function?

Answers

Answer:

Option 2

Step-by-step explanation:

if an input produces more than one output, the table does not represent a function.

Find the slope of the line?

Answers

Answer:

m=3/4

Step-by-step explanation:

First, let us remind ourselves of the slope formula: m=rise/run=([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])

Let's pick two points from the graph to work with. Let's do (3,-6) and (-1,-9).

And let 3=[tex]x_{1}[/tex], -6=[tex]y_{1}[/tex], -1=[tex]x_{2}[/tex], -9=[tex]y_{2}[/tex].

1. Substitute the values into the slope formula: [-9-(-6)]/(-1-3)

2. simplify the expression: [-9-(-6)]/(-1-3)=(-9+6)/-4=-3/-4=3/4

3. As a result, the slope of the line is 3/4

Michael's dog stands 10 feet from a table, and notices a plate resting on the edge of the table. The height from the ground to the top of the table is 4 feet, and his dog's eyes are 1 foot above the ground. What is the angle of elevation from Michael's dog to the plate? Round your answer to the nearest whole degree.​

Answers

Answer:

The angle of elevation is 17°.

Step-by-step explanation:

Let's draw the scenario to better understand the problem:

Focusing on the right triangle formed, it appears that we get measures of the two sides of the right triangles.

Opposite Side = 3 Ft.

Adjacent Side = 10 Ft.

To find the angle of elevation, we will be using the Targent Function:

[tex]targent \: 0 = \frac{opposite \: side}{adjacent \: side} \\ targent \: 0 = \frac{3}{10} \\ 0 = {targent}^{ - 1} ( \frac{3}{10} ) \\ 0 = 16.69924423399 = 17[/tex]

Therefore, the angle of elevation is 17°.

pls help asap

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate in standard form the equation of the line passing through the given points.

E(-2, 2), F(5, 1)

Answers

Answer:

The equation of the line that passes through the given points is ;

7y = -x + 12

Step-by-step explanation:

Here, we want to get the equation of the line that passes through the given points

The general equation form

is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us substitute the x and y coordinate values of each of the points;

for (-2,2); we have

2 = -2m + b

b = 2m + 2 •••••(i)

for F;

1 = 5m + b

b = 1-5m ••••••(ii)

Equate both b

1-5m = 2m + 2

1-2 = 2m + 5m

7m = -1

m = -1/7

Recall;

b = 2m + 2

b = 2(-1/7) + 2

b = -2/7 + 2

b = (-2 + 14)/7 = 12/7

The equation of the line is thus;

y = -1/7x + 12/7

Multiply through by 7

7y = -x + 12

Suppose you are interested in learning about how much time seventh grade students at your school spend outdoors on a typical school day. Select all the samples that are a part of the population you are interested in. a. The 20 students in a seventh grade math class. b. The first 20 students to arrive at school on a particular day. c. The seventh grade students participating in a science fair put on by the four middle schools in a school district. d. The 10 seventh graders on the school soccer team. e. The students on the school debate team.

Answers

Answer:

1. The 20 students in a seventh grade math class.

4. The 10 seventh graders on the school soccer team.

Step-by-step explanation:

I just submitted the form and these are the right answers :)

It might be not on time but still lol.

I AM SURE THOSE ARE RIGHT ANSWERS !!! :)))

The 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The samples that are a part of the population of interest, which is seventh grade students at your school, are:

The 20 students in a seventh grade math class.

The seventh grade students participating in a science fair put on by the four middle schools in a school district (if the students are from your school).

The 10 seventh graders on the school soccer team (if they are from your school).

The samples that are not a part of the population of interest are:

The first 20 students to arrive at school on a particular day (as this may include students from different grades or schools).

The students on the school debate team (as this may include students from different grades or schools).

Hence,  the 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Please help no links please

Answers

can you comment to me because it won’t allow me to send it on here it sends me a copy but you won’t be able to click on it

explain

Answer:

9/20

Step-by-step explanation:

A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9, 2, 0, 2. The second column of leaves are blank, 4, 1, 3. The third column of leaves are blank, 4, blank, blank. The fourth column of leaves are blank, 6, blank, blank. The fifth column of leaves are blank, 8, blank, blank. The stem and leaf plot shows high temperatures recorded each day at the beginning of the month. Which temperature occurs the most frequently

Answers

Answer:

The temperature with the highest frequency is 54

Step-by-step explanation:

Given

The above data

Required

The temperature with the highest frequency

The first step, is to plot the stem and leaf plot.

[tex]\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ } \ \end{array}[/tex]

Next, is to identify the leaf with the highest frequency.

The leaf is 4 (with frequency 2)

Next, is to identify the accompanying stem of the leaf

The stem is 5

Hence, the temperature with the highest frequency is 54

Answer:

B

Step-by-step explanation:

edg 2021

Please help ! 13 points

Answers

Answer:

...

Step-by-step explanation:

remeber that for every angle they give you, you need to subtract 90 from it to get the answer.

Help help please please

Answers

Answer:

18

Step-by-step explanation:

This is actually pretty easy. Keep this in mind.

There are 34 total students. 16 of them like bananas and the rest like apples. All you really need to do is count up from 16 to 34 to find the answer.

The simple equation for this is: 34-16

Thus, the answer is 18.

Find the area of a circle with radius 14 mm. Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

1. Describe the relationship between the terms in the sequence 13, 26, 52,
104, ... Then write the next three terms in the sequence.

Answers

Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832

Answer: 208, 416, 832

The numbers double by itself

Step-by-step explanation:

13+13 = 26, 26+26 = 52, 52+52 = 104, 104+104=208 and so on

How far from the tower can it be placed, to the nearest foot?

Answers

Answer:

43 feet would be the correct answer.

Step-by-step explanation:

helppp plss i need to find the range,mean,mode and median but I don't know how

Answers

So I’ll give you he method please mark brainiest :)

Range: take the largest number and subtract the smallest number you have

Mean: add all the numbers together and divide it by the amount of numbers there were

Mode: the number that appears most often so multiple times

Median: To find the median, put all numbers into ascending order and work into the middle by crossing off numbers at each end. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median.

Please mark as brainiest :)))

The population standard deviation for the heights of dogs, in inches, in a city is 3.4 inches. If we want to be 90% confident that the sample mean is within 1 inch of the true population mean, what is the minimum sample size that can be taken?

Answers

Answer:

The minimize size that can be taken is - 31.28 or 31 .

Step-by-step explanation:

Lets calculate -

    Population standard deviation, [tex]\sigma=3.4 inches[/tex]

    Margin of error, E = 1

    Critical value , [tex]z_0_._0_5 =1.645[/tex]

Now , the size of the sample , [tex]n=(\frac{z\times \sigma}{E} )^2[/tex]

   Putting the given values ,

                    [tex]=(\frac{1.645\times 3.4}{1})^2[/tex]

                  = 31.28 or 31 .

The given table of the question has been attached here .

Hence , the answer is 31.

Giving Brainiest (No Links) ~Repost Cause last one no one answered~


(If you don't show work for each I comment "No Show work")

<3

Determine the slope of a line that passes through the following sets of points. Show your work.

(1, 1) and (4, 5)
(2, -1) and (4, 13)
(1, 18) and (-9, -2)

Answers

Slope is the change in y over the change in x

1. (1,1) and (4,5)

Slope = (5-1)/(4-1)

Slope = 4/3

2. (2,-1) and (4,13)

Slope = (13 - -1)/ (4-2)

Slope = 14/2

Slope = 7

3. (1,18) and (-9,-2)

Slope = (-2 -18)/(-9 -1)

Slope = -20/-10

Slope = 2

Please answer correctly! I will Mark you Brainliest!

Answers

Answer:

I think the volume of the figure is 60 but I'm not 100 % sure

Step-by-step explanation:

I belive the formula for this figure was (a+b)xh/(2)

So 40x 3 = 120

120/2 = 60

equivalent fractions for 2 4/5 and 2 2/3 plz help I will mark brainliest

Answers

Answer:

24/5: 48/10

22/3: 44/6

plz mark me as brainliest.

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