7. The path of a baseball after it has been hit is modeled by the function h = -0.0032d? + d + 3, where his
the height in feet of the baseball and d is the distance in feet the baseball is from home plate. Find the average
rate of change for the baseball between d = 100 and d = 200.

Answers

Answer 1

Answer:

[tex]A = 0.04[/tex]

Step-by-step explanation:

Given

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

Required

Determine the average rate of change for d = 100 to 200

Average rate of change (A) is calculated as follows:

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

In this case:

[tex]b = 200[/tex] and [tex]a = 100[/tex]

So: [tex]A = \frac{h(b) - h(a)}{b - a}[/tex] becomes

[tex]A = \frac{h(200) - h(100}{200 - 100}[/tex]

[tex]A = \frac{h(200) - h(100)}{100}[/tex]

Solving h(200)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(200) = -0.0032*200^2 + 200 + 3[/tex]

[tex]h(200) = 75[/tex]

Solving h(100)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(100) = -0.0032*100^2 + 100 + 3[/tex]

[tex]h(100) = 71[/tex]

So: [tex]A = \frac{h(200) - h(100)}{100}[/tex] becomes

[tex]A = \frac{75 - 71}{100}[/tex]

[tex]A = \frac{4}{100}[/tex]

[tex]A = 0.04[/tex]

Hence, the average rate of change is 0.04


Related Questions


WILL MAKE BRAINLIST


The booster club needs to raise at least $5000 for new football uniforms. So far they have raised 1,280 enter an inequality to find the a average amounts each of the 97 members can raise to meet the club's objectives

Answers

Answer:

Step-by-step explanation:

5000[tex]\geq[/tex]1280+97x

Using point-slope form, write the equation of the line that passes through the point (-1/2,1/2) and has a slope of -1

Answers

Answer:

y - 1/2 = -(x + 1/2)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where (x1, y1) is a point on the line

Plug in the point given and the slope:

y - y1 = m(x - x1)

y - 1/2 = -(x + 1/2)

So, the equation is y - 1/2 = -(x + 1/2)

Answer:

y - 1/2 = -(x + 1/2)

2-2=-1(1+1)

Step-by-step explanation:

slope is given

y-y1=m(x-x1)

How would I write f(x) = -4(x-2)+ 7 in standard form

Answers

Answer:

The standard form of the given equation is f(x) =  0x²-4x+15=0

Step-by-step explanation:

The standard form  is ax²+bx+c=0

Given f(x) = -4(x-2)+ 7

   we can write the standard form

                     =  0x² -4(x-2)+7 =0

                   ⇒   0x² -4x +8 +7 =0

                   ⇒   0x² -4x + 15 =0

now comparing the standard form ax²+bx+c=0

                      a = 0 , b= -4 and c =15

The largest prime number that is a factor of 35 is multiplied by the smallest prime number

Answers

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

I can model and solve one variable two step equations

9x-10= 63

Answers

Answer:

Step-by-step explanation:

good job?

Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Answers

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

Hurry and anwser plz

Answers

Answer:

D

Step-by-step explanation:

103+103=206

360-206=154

154 divided by 2 equals 77 degrees aka D.

Hope this helped! :)

the answer should be D

7. Marsha has three times as many quarters as she does nickels. She has a total of $3.20. How
many of each coin does she have?
A. 2 quarters and 6 nickels
B. 12 quarters and 4 nickels
C. 8 quarters and 24 nickels
D. 18 quarters and 6 nickels

Answers

12 quarters and 4 nickels

What is the answer for 2 x 4 x 5 x 99 ÷ 3 x 56?

Brainliest for the correct answer!

Answers

Answer:

73920

Step-by-step explanation:

pemdas

2*4=8

8*5=40

40*99=3960

3960/3=1320

1320*56=73920

Answer:

73920

Step-by-step explanation:

Justin wants to buy a laptop computer that costs $580. He takes a loan from the electronics store that charges him 14.5% simple interest per year. What is the balance of the loan after 2 years?

Answers

Answer: omggg I need that one too irdk I need help

Step-by-step explanation:

Answer:

It is 748.2

Step-by-step explanation:

With formula I=PRT you sub in the P R and T. once you do that you get the answer of 168.2, after you add 168.2 to the original amount which gives you the answer 748.2

which of the following is a quadratic function?

Answers

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

Can someone help me with number 7

Answers

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1

Answers

Answer:

D) is the answer

Step-by-step explanation:

It is taught in 5th class in India

Mark as Brainliest.

Because I am Indian and solving your question from India.

The correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

f(x) = 2x³ + 6x² – 5x – 3

g(x) = 3x – 4

The function (f-g)x will be calculated as follows:-

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 2x³ + 6x² – 5x – 3 )  - ( 3x – 4 )

(f - g)(x) =  2x³ + 6x² – 5x – 3 - 3x + 4

(f - g)(x) =   2x³ + 6x² – 8x + 1

Therefore the correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

To know more about function follow

https://brainly.com/question/25638609

#SPJ2

Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)

Answers

Answer:

[tex]\boxed{0}[/tex]

Step-by-step explanation:

x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)

x² =  (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)

x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)

x² = 0

x = 0

Answer:

t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h

Step-by-step explanation:

fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih

The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X?X ~ N(,)
What is the distribution of x¯? x¯ ~ N(,)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.1605 and $6.757.
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

Answers

Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

Answer:

he did a good job

Step-by-step explanation:

Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it ​

Answers

Answer: This is a tough question

Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D

Step-by-step explanation:

Please help me answer this :)
I will give braisnlt

Answers

Answer:

y = -1/2x + 4

Step-by-step explanation:

I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)

I got +4 because 4 is where x = 0, or the y intercept

Water freezes at 32° Fahrenheit, which is 0° Celsius. Water boils at 212 Fahrenheit, which is 100 Celsius. Which temperature would be the best estimate for water at room temperature in Celsius

Answers

Answer:

20

Step-by-step explanation:

I don't really know how to explain this beyond either memorizing this or remembering that Fahrenheit is around 70 degrees and estimating it.

Multiply the following complex numbers: (-7+ ) and ( + i). Show all work and explain the steps you are taking in the work.

Answers

Answer:

Step-by-step explanation:

in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i

if your problem really only has a 7 and an i in it.. then it looks like below

7 * i  = 7i

but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already  :)

The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:

Given:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

To find:

Multiply complex numbers.

Solution:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

[tex]\therefore\\\\\to \bold{a+ib}[/tex]

In these questions, the value of a is missing so,

[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]

Therefore, the final answer is "-7i".

Learn more:

https://brainly.com/question/20566728?referrer=searchResults

will give brainliest!

Answers

Correct answer: A, 2

Answer:

2/1=2

Step-by-step explanation:

solve the system of linear equations. 3x+4y= -18 ; y= -4x -11

Answers

Answer:

(-2,-3)

Step-by-step explanation:

Definition of intersect in geometry.

Answers

Answer:

Intersect means two lines met together and formed a point.

Step-by-step explanation:

None

A copy machine produces six pages a print and six seconds how many pages are produced per second

Answers

Answer:

if the printer produces 6 pages in 6 seconds it would be 1 page per second.

mathematically: 6 pages/6 seconds= 1 page/second

There would be one page per second since there are six pages and six seconds u divide and get one!! Hope this helped! BRANLIEST plz

Aden started with 6 cups of water. Throughout the day he drank the following amounts: 1 1/3 cups, 1 1/2 cups, 1 2/3 cups, and 3/4 cup. How many cups of water are left?
A. 2/3
B. 3/4
C. 1 1/3
D. 1/4

Answers

Answer:

B. 3/4 cup of water

Step-by-step explanation:

1 1/3 + 1 1/2 + 1 2/3 + 3/4 = 5 1/4

6 - 5 1/4 = 3/4

Answer: B or 3/4

Step-by-step explanation:

ok first add all the amounts he drank together

1 1/3 + 1 1/2 + 1 2/3 + 3/4

because the denominators are all different, you have to change them to a common denominator, which is 12. i've also changed them to improper fractions.

1 1/3 = 4/3 = 16/12    1 1/2 = 3/2= 18/12    1 2/3 = 5/3= 20/12   3/4 = 9/12

now add them all together

16/12 + 18/12 + 20/12 + 9/12 = 63/12

now convert the original 6 cups to an improper fraction with the denominator of 12

6 = 72/12

now subtract 63/12 (the amount he drank) from 72/12 (the amount he started with)

72/12 - 63/12 = 9/12

9/12 is able to be simplified to 3/4

so the correct answer is B, or 3/4

A utility company estimates that a power line repair job will take a total of 24 person-hours. If 3 workers are assigned to the job, how long will it take them to complete the job according to this estimate?

Answers

Answer:

8hrs

Step-by-step explanation:

[tex] \frac{24}{3} \\ \\ [/tex]

Based on the information given, the number of hours that will be used will be 8 hours.

From the information given, the company estimates that a power line repair job will take a total of 24 person-hours and 3 workers are assigned to the job.

Therefore, the number of hours that will be used will be:

= 24 hours / 3

= 8 hours

Learn more about division on:

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5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST

Answers

Answer:

I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25

Step-by-step explanation:

System of Linear Equations entered :

[1] 5x + 10y = 5
[2] -13x + 4y=17


Solve by Substitution :

// Solve equation [2] for the variable y


[2] 4y = 13x + 17

[2] y = 13x/4 + 17/4
// Plug this in for variable y in equation [1]

[1] 5x + 10•(13x/4+17/4) = 5
[1] 75x/2 = -75/2
[1] 75x = -75
// Solve equation [1] for the variable x


[1] 75x = - 75

[1] x = - 1
// By now we know this much :

x = -1
y = 13x/4+17/4
// Use the x value to solve for y

y = (13/4)(-1)+17/4 = 1
Solution :
{x,y} = {-1,1}

Please help me!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?

Include A.M. or P.M. in your answer

Answers

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes

Total time touring Chicago = 4 hours 35 minutes

Since dinner reservation is at 5 :10 pm

Touring should start latest:

5:10 - 4 hours 35 minutes = 1 :35 pm

[tex]\frac{r}{6} = 8[/tex]

what is r?

Answers

The answer is 48, hope that helps
My answer~

r = 48

My explanation~

r/6 = 8 // - 8

r/6-8 = 0

1/6*r-8 = 0 // + 8

1/6*r = 8 // : 1/6

r = 8/1/6

r = 48

And to check~

48/6

48 ÷ 6

=

8

:PP hope i helped!!have a good day :3

The point (–5, 6) is located in which quadrant?


Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answers

Answer:

Quadrant 2

Step-by-step explanation:

Step-by-step explanation:

4th quadrant cause x is positive and y is negative

Other Questions
Mrs. Jagielski has $300 put aside for Christmas shopping. She spent 65% of her money onBlack Friday. How much money does she have LEFT to keep shopping with? * Find the value of x in the isosceles trapezoid below Adelberg Company has two products: A and B. The annual production and sales of Product A is 1,900 units and of Product B is 1,300 units. The company has traditionally used direct labor-hours as the basis for applying all manufacturing overhead to products. Product A requires 0.4 direct labor-hours per unit and Product B requires 0.7 direct labor-hours per unit. The total estimated overhead for next period is $101,075. The company is considering switching to an activity-based costing system for the purpose of computing unit product costs for external reports. The new activity-based costing system would have three overhead activity cost pools--Activity 1, Activity 2, and Order Size--with estimated overhead costs and expected activity as follows: Expected ActivityActivity Cost Pools Estimated Overhead Costs $ Product A Product B TotalActivity 1 $31,031 1,000 300 1,300 Activity 2 22,249 1,600 300 1,900 Order size 15,476 200 200 400Total $ 68,756 (Note: The Order Size activity cost pool's costs are allocated on the basis of direct labor-hours.) The predetermined overhead rate under the traditional costing system is closest to:________a. $11.71 per DLH b. $38.69 per DLH c. $171.89 per DLH d. $23.87 per DLH PLEASE HELP HOMEWORK ASAP Ehrenreich begins "Scrubbing in Maine" with this sentence: I chose Maine for its whiteness." What does she mearby this statement?A. Maine's racial demographic will enable her to determine if white bosses treat white employeesas poorly as they usually treat minorities.B. It will allow Ehrenreich, who is white and a native English speaker, blend into the low-wage jobmarket without drawing attention to herself.C. It will give her an opportunity to determine if low-wage workers in an all-white community havea higher standard of living compared to minority low-wage workers living in a racially diversecommunity.D. Ehrenreich is interested to see if the stigma (disgrace) of being a low-wage worker in an all-white community is as bad as it is in a racially-diverse community.E. It will relieve some of her stress by giving her an opportunity to fit in and get along better withher coworkers and customers. - If two organisms share thesame family, what else dothey have in mmmon? when does finny finally admit that there is a war If a polynomial function f(x) has roots -7, 1 and 5i, what must also be a root of f(x)?a) -5b) -5ic) 5+i what is Baroque era? when did it end? Select the correct answer. Which type of computer application is Apple Keynote? OA. word processor O B. spreadsheet O C. presentation OD. database O E. multimedia Anyone know the logic notation of this following logic circuit? A university wants to conduct a sample survey to determine the average number of students who earned a GPA higher than 3.5. Which of the following survey methods is most likely to produce valid results?A. The university surveys students who earned less than a 3.5 GPA.B. The university surveys every other student who earned more than a 3.5 GPA.C. The university surveys 600 randomly selected students who attend the university.D. The university selects one department and surveys all of its students Find the new amount given the original amount and the percent of change. $5; 40% increase The new amount is $ According to the Natural Resources Defense Council, what is the largest contributor to land pollution?According to the Natural Resources Defense Council, activities related to production are the largest contributor to land pollution. CUP 6. A wire has a diameter of 0.032 inches. The AWG rating of this wire is most likely to be O A. 20 O B. 14. O C. 12. O D. 18. Why do girls get more girls? (genetically, not because "their girls and normally get long hair") OA.The slope is negative.OB.The slope is positive.Oc.The slope is zero.D.The slope is undefined. The organelle where cellular respiration occurs is the ? What were the factories in the MiddleColonies making? (choose all correctanswers) HELP ME PLEASEEEEEEEE