Q2) The graph shows the speed of a firework shell during a flight of 20 seconds:
250
200
150
(s/u) paads
100
50
O
2
4
6
8
10
12
14
16
18
20
Time (s)
a) Work out the rate of change during the first 4 seconds.
b) Work out the rate of change between 8 seconds and 12 seconds.

Q2) The Graph Shows The Speed Of A Firework Shell During A Flight Of 20 Seconds:250200150(s/u) Paads10050O2468101214161820Time

Answers

Answer 1

Answer:

a. 37.5

b. 25

Step-by-step explanation:

a. Rate of change the first 4 seconds can be calculated using the points (0, 0) and (4, 150):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{150 - 0}{4 - 0} = \frac{150}{4} = 37.5 [/tex]

b. Rate of change between 8 seconds and 12 seconds using the points (8, 150) and (12, 250):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{250 - 150}{12 - 8} = \frac{100}{4} = 25 [/tex]


Related Questions

Please answer this!!

Answers

Answer:

3,724 cubic inches

Step-by-step explanation:

All you have to do is multiply 19•14•14

In 2000, the population of Snowy Egrets went from 5,000 individuals to 15,000 individuals. What is the growth rate over those 4 years?

Answers

Answer:

[tex]x=\sqrt[4]{3}-1[/tex] or [tex]x=0.316[/tex]

Step-by-step explanation:

To write this equation you would need to use this equation for growth.

Final amount=initial amount (1+growth rate)^time

We have the final amount, 15,000, the initial amount, 5,000, and the time, 4 years. Now we have to plug in the values. We can write the growth rate as x.

[tex]15,000=5000(1+x)^4[/tex]

Now start by dividing both sides by 5000.

[tex]\frac{15000}{5000} =(1+x)^4[/tex]

[tex]3=(1+x)^4[/tex]

Now you can find the fourth root of both sides to get rid of the exponent.

[tex]\sqrt[4]{3} =1+x[/tex]

Finally, subtract 1 from both sides.

[tex]x=\sqrt[4]{3}-1[/tex]

And, if allowed, you can use a calculator to find the value in decimal form which would be:

[tex]x=0.316[/tex]

which set represents a Pythagorean triple?
1, 2, 4
2, 4, 6.
3, 4, 10.
5, 12, 13.

Plz help thank you​

Answers

The set that represents a Pythagorean triple is: 5, 12, 13. You can check this by calculating the square of each length and adding the two legs to get the same as 13^2
5, 12, 13 is the correct awnser

Solve the following system by substitution.
22.
X + 2y = 0
-3-4=-2
4y = -2
A (2, -1)
B. (2, 1).
C. (4, -1)
D. (-2, -1)

Answers

Answer:

D

Step-by-step explanation:

surely and i think it's correct

Answer:

D is the correct answer

Step-by-step explanation:

plz help idk what is the answer will give a good review

Answers

Answer:

Step-by-step explanation:

I can't read it very well. If it says

5(6n-4)+2=68

30n-20+2=68

30n=86

n= 43/15 or 2 13/15

If it says

5(6n-4)-2=68

30n-20-2=68

30n=90

n= 3

N=3 is the answer your looking for

I’m looking for x can someone help me

Answers

Answer:

x = 30°

Step-by-step explanation:

Since m and n are perpendicular, then

y + 70° = 90° ( subtract 70° from both sides )

y = 20°

thus 40 + y = 40° + 20° = 60°

Then

x + 60° = 90° ( subtract 60° from both sides )

x = 30°


A polygon with twelve sides is called a decagon.
True
O False
0

Answers

Answer:

False

Step-by-step explanation:

Answer:

False

The proper term would be dodecagon.

I need help please. Whoever answers first get brainiest!

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

help pls i’ll give out extra points

Answers

Answer:

The answer is similar, AA similar.

Step-by-step explanation:

The triangles are obviously similar; but we only know that because of the two identical angles. (AA)

Please mark Brainliest!

suppose that x and y vary inversely and x=1 when y=6. write a function that models the inverse variation. graph the function and find y when x=10

Answers

Answer:

Required Answer:-Table:-

[tex]\boxed{\begin{array}{c|c|c|}x & 1 & 10 \\ y & 6 & ?\end{array}}[/tex]

Now come to formula

[tex]\sf x \propto y [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x_1 y_2=x_2 y_1[/tex]

Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf 1×y_2=10\times6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y_2={\dfrac {10\times6}{1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y_2=60 [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf y_2=60}}}[/tex]

Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.

Answers

69.3 I think hope that helps

Please answer this question shown in the picture! Thank you soooo much if you do! ;w;

Answers

Answer:

3.07 . 10^8.

Step-by-step explanation:

2.3 . 10^8 + 4.7 . 10^7

= 230,000,000 + 77,000,000

= 307,000,000

= 3.07 . 10^8.

Vera went to the local salon to get a haircut. The cost was $24. Vera tipped the hair stylist 18%. What was the total cost of the haircut including the tip? Round to the nearest cent.

Answers

Answer:

28.32

Step-by-step explanation:

The total cost of the haircut including the tip will be $28.32.

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

It is given that Vera went to the local salon to get a haircut. The cost was $24. Vera tipped the hair stylist 18%.

SO,

18% = 18/100 = 0.18

18% of 24 = 0.18*24

= 4.32

The tip is $4.32

Adding this tip amount onto the original bill leads to;

4.32+24 = 28.32

Hence, the total cost of the haircut including the tip will be $28.32.

Learn more about unit price here:

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Which of the number(s) below are potential roots of the function? q(x) = 6x3 + 19x2 – 15x – 28

Answers

Answer:

±2/3, ±7/2, ±14

Step-by-step explanation:

edge:) 2020

Answer: ±2/3, ±7/2, ±14

Step-by-step explanation: edge 2020

Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?

Answers

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

16t^2 + 800t + 9000 = 0

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

t^2 + 50t + 562.5= 0

Factorize

-50±√2500-4(562.5)/2

t = -50±√2500-2250)/2

t = -50±15.81/2

t = -65.81/2 and -34.19/2

t = -32.91 and -17.09

4. determine whether the relation is a function(
(1, -4), (2, 1), (3, 4), (3, 3), (4, 2)
B. yes
C.no

Answers

Answer:

No, bacause each X (first value), need to have just once Y value (second one). Here you have two values for 3 (4 and 4)

Solve for x -10 + x = -12

Answers

X= -1

Hope this helped you, if it did plz mark Brainlyest

Answer:

=-1

Step-by-step explanation:

1

0

+

=

1

2

{\color{#c92786}{x}}-10+{\color{#c92786}{x}}=-12

x−10+x=−12

2

1

0

=

1

2

11) Jonsey is standing at a cliff that is 5ft above sea level. He dives into the water and descends to a depth 8ft below sea level. How far did he travel?​

Answers

Answer:

13ft

Step-by-step explanation:

5ft + 8ft=13ft

Answer:

-13Ft

Step-by-step explanation:

9) Five less than the square root of a number r

Answers

What’s number R? I need to know the number in order to find the square root of it. (:

How can you use x- and y- intercepts to graph an equation

Answers

Answer:

Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.

Please mark brainliest :)

The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

$3900.71 is the amount of money subtracted from the next model

51099.29 is the cost of the second model

Step-by-step explanation:

(17) 60% of what is 24?

Answers

Answer:

Step-by-step explanation:

24*60%= 14.4

Answer:

14.4

Step-by-step explanation

3/5 x 24

3/5 x 24/1

3/5 x 24/1=3x24

                   5 x 1

= 3 x 24

  5 x 1

72

5 x 1

72/5

what you do after that is you divide 72 and 5

72/5 = 14.4

so you answer is 14.4

hope this is right

can someone help asap!!:)

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?

Answers

9514 1404 393

Answer:

  5 and 15

Step-by-step explanation:

Let x represent the smaller number. Then the larger is x+10. The sum is ...

  2x +3(x+10) = 55

  5x +30 = 55

  5x = 25

  x = 5

The two numbers are 5 and 15.

__

Check

  2·5 + 3·15 = 10 +45 = 55

Write the number three-hundred-sixty-five-thousandths in standard form.

Answers

Answer:

365/1,000 or .365

Step-by-step explanation:

HTH :)

Three hundred sixty five thousand in standard form is 365000.

What is standard form and word form of numbers ?

The standard form of numbers is when we have to write the number in digits according to it's place and face value.

Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.

According to the given question we have to write  three thousand sixty five thousand in standard form.

We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.

Given we have to write three hundred sixty five thousand in standard form which is 365000.

learn more about numbers here :

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Determine if (3, 2) is a solution for the system of equations.
y = -x + 5
y = 2x - 6
yes
no

Answers

Answer:

Nope

Step-by-step explanation:

2= -3+5 (works)

2= 2(3)-6 (doesn't work)

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 8 if she rolls the two number cubes 252 ​times?

Answers

Answer:

Around 20

Step-by-step explanation:

because out of 36 you can get 6 five times. Then you divide. 252 by 36 and get four do you multiply 5 times 4

Answer:

20

Step-by-step explanation:

In this figure, m ∠FGH=128°. What are the measures of ∠FGI and ∠IGH​

Answers

Answer:

we need a figure

Step-by-step explanation:

Enter values for X and Y in the table to plot points in the graph

Answers

Answer:12,16

Step-by-step explanation:

Answer:

16,28. 4,16. I'm not sure though

What is the precision of the measurement 10 feet?

Answers

Answer:

You measure the length of the paper three times and obtain the following measurements: 11.1 in., 11.2 in., and 10.9 in.

Which equation describes the line with slope 5, that contains the point (-2, 4)?
a: y = 5x - 22
b: y = 5x - 2
c: y = 5x + 4
d: y = 5x + 14

Answers

Answer:

C

Step-by-step explanation:

Answer:

D.)  y=5x+14

Step-by-step explanation:

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

y1=4, m=5, x1=-2

y-4=5(x+2)

distribute 5

y-4=5x+10

add 4 to both sides

y=5x+14

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