4. A toy rocket is fired into the air from the top of a barn. It's height (h) above the ground in
yards after t seconds is given by the function: h(t) =- 5t^2+ 10t+ 20.
a) What was the maximum height of the rocket?
b) How long was the rocket in the air before it reached its highest height?

Answers

Answer 1

Answer:

A) 25

Step-by-step explanation:

You use x= -b/2a in order to get your maximum so x= -10/ 2(-5) and you get x=1. You plug 1 into the function as h(1)=-5(1)^2 + 10(1)+ 20 which gets you 25

Answer 2

A function assigns the values. The time it will take for the rocket in the air before it reached its highest height is 1 second.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the rocket can be found by differentiating the function to get the maximum value of the height funciton.

dh/dt = -5(2t) + 10

Substitute the differentiated value with 0,

0 = -10t + 10

-10t = -10

t = 1

Therefore, the maximum height will be attained when the time is 1 second.

Now, substitute the value of t as 1 second to get the maximum height,

h(t) =- 5t²+ 10t+ 20

h(1) =- 5(1)² + 10(1)+ 20

h(1) = -5 + 10 +20

h = 25 yards

Hence, the maximum height of the rocket is 25 yards.

B.) The time it will take for the rocket in the air before it reached its highest height is 1 second.

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4. A Toy Rocket Is Fired Into The Air From The Top Of A Barn. It's Height (h) Above The Ground Inyards

Related Questions

16
Which of the following expressions are equivalent to 25 -
5
? Select all that apply.
1 16
25 5
(25x16)
5
(25x5)
16
125
16
0 0 0
1
25
х
5
16

Answers

Answer:

1,16, that is the answers

pic below................................
answer ASAP

Answers

Answer:

The answer is C.-216

Step-by-step explanation:

Answer:

C.)-216

Step-by-step explanation:

Since -6 is negative, it makes it become a positive when multiplyed, and then back to a negative when multiplyed again.

By definition, what is the number i equal to?

Answers

Unit Imaginary Number

The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.

M= 1/2
M= 2
M= -1/2
M=-2

Answers

Answer:

It should be 1/2

Step-by-step explanation:

the slope is =1/2 so the first option

Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.

(I) Buy 2, get two free (II) 45% off (III) 1/2off
The best deal would be either .
Either case would result in a discount of %,
which is better than the other alternative of %.
PLZ ANSWER ASAP!

Answers

Answer

Buy 2, get 2 free and/or 1/2 off

Step-by-step explanation:

OK, lets say that the tire price was 15. (l)= 15+15=30 (ll)= 15/45%= 33.33x4=133.32 (lll)= 15/2=7.5   7.5x4=30

Write the number in scientific notation: 0.00000199?

Answers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

1.99

×

10

6

Step-by-step explanation:

What is the slope of the line that contains the points (-2,6) and (6,-3)?

Answers

m = -9/8 (slope)

This means 9 down, and 8 right.

_________________________

To calculate the slope, just use this formula:

[tex] m \: = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

y2 or x2 can also be thought of as just y and x. This is because only a slope, and one point is needed to solve for another point that fits on the line.

Given point 1 : (-2,6), and point 2 : (6,-3).

We can find slope by: point 2y - point 1y/ point 2x - point 1x =

(-3-6)/(6-(-2)) = (-9)/(8) = -9/8

what is the answer to f(-5)=x^2-5

Answers

Answer:

32

Step-by-step explanation:

write an equation that is parallel to the equation (-3,-5) and (1,7) and goes through the point (2,4)

Answers

You didn't give an original equation, just the two points so I'm just going to go ahead and assume that b = 0, but in reality, it doesn't really matter what it equals I think.

Slope intercept form:

First, we find the slope, so we do y1-y2/x1-x2 which is 3. So then we do y=mx+b so 4=3(2)+b. Then we do 4=6+b. So, b = -2.

So the equation is y=3x-2

Find the slope which we already know. Plug into y-y1=m(x-x1).

y-4=3(x-2)

y-4=3x+6

(11x - 1)
(20x – 3)
151°

Answers

Answer:

x= 1.6 degrees

Step-by-step explanation:

to find the missing angle 180 degrees - 151 degrees

29° is the missing angle at the bottom ryt of the triangle.

all angles in triangle add upto 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x= 1.6°

A polygon with three edges and three vertices is called a triangle.

x=1.6° is its value.

Explain about the triangle?

Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.

The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.

To identify the omitted angle between 180 and 151 degrees

The triangle's bottom right corner lacks a 29° angle.

triangle's angles sum up to 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x =1.6 degree

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if y=40 when x=16, find y when x=10.

Answers

Answer:

25

Step-by-step explanation:

Y/10 = 40/16

Y=25

What is the value of x?
70°
12x + 14

Answers

Answer:

[tex] \frac{14 }{3} [/tex]

Step-by-step explanation:

12x=70-14=56

x=

[tex] \frac{56}{12} = \frac{14}{3} [/tex]

A savings account balance can be modeled by the graph of the linear function shown on the grid.

What is the rate of change with respect to the number of deposits?
ANSWER CHOICES: 1). $0.50 per deposit. 2) $100 per deposit. 3) $2 per deposit. 4) $50 per deposit ​

Answers

2) 100 per deposit
The rise over run/rate of change ( theyre the same ) is 100/1 so it would be 100

At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let J represent the amount of money John has saved tt weeks after the beginning of the year and let I represent the amount of money Isaac has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.

Answers

john- 40+t13= j
isaac- 80+t9=i
They would have the same amount of money after 10 weeks
john- 40+(10•13)= 170
isaac- 80+(10•9)= 170

Solve for p in the literal equation 5p + 6r = q.

Answers

Answer:

p = q /2 − 5 r /2

Answer:

5p+6r=q, move the variable 6r to the right which makes it a negative.
5p=q-6r, divide both sides by 5.
p=1/5q-6/5r should be your answer

Which of the statements is also true in Spherical geometry?

Answers

I think all of them are true

Please help me, I have too many points and willing to give more than the lowest away.

Answers

Answer:

the inequality is +/- 3°C(if this refuses in the computer,try writing +/- T)

range from 34 to 40.

is -√9 an irrational or rational number?

please
please
help
me!​

Answers

Answer:

It is rational because the answer is -3

Step-by-step explanation:

-3 can be writen as a fraction so it is a rational number.

Answer:

That is a rational number

Step-by-step explanation:

[tex]\sqrt{9}[/tex] = 3.

Therefore, -[tex]\sqrt{9}[/tex] = -1(3) = -3.

-3 is RATIONAL.  

Vanessa starts with 7 rabbits in a pen. 80 days later she has 14, and 160 days later she has 28. Which function can model this situation ?

Answers

Answer:

dddjhjhjjuy777777777777777777777777776666666666666666666666666666666666hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhffffffffffffffffffffffflol fk hahaharahahahahahahhaahahahahhahalo

Step-by-step explanation:

ddddddddddddddddddd

PLEASE HELP A GIRL OUT !!!!!!! UwU
Explain how to write a linear equation from a word problem in the slope-intercept form. Explain in detail what words you are looking for in the problem. Use complete sentences. Must inlclude capital letters and punctuation where needed.

Answers

It depends on the problem, but here's an example.

Let's say you earn $20 an hour and you already have $100 in the bank. If you work x hours, then you'll have 20x additional dollars on top of the $100 you already have. So in total you have y = 20x+100 dollars

x = number of hours worked

y = total amount of money

This does not take into account taxes or other kinds of fees/deductions from your paycheck.

Comparing y = 20x+100 with y = mx+b, the slope is m = 20 and the y intercept is b = 100.

The slope tells us how fast the money increases (since it's the rate of change). In this case, slope = rise/run = 20/1 meaning that for each hour, the money goes up by $20.

The y intercept is the starting value which in this case is $100. If you worked x = 0 hours, then you'll still have that $100.

i'm confused with this who knows about this?​

Answers

Answer:

its C :)

Step-by-step explanation:

Find the perimeter of the polygon with the vertices Q( – 3, 2), R(1, 2), S(1, - 2), and T (-3, -2).
, -2)

Answers

Answer:

Step-by-step explanation:

3(2x+4)=-18
What is x and how do you solve

Answers

Answer:

x=1

Step-by-step explanation:

divide by 3 and then -4 and then divide by 2

Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?

Answers

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

                                    =[tex]\frac{1}{8} ft^3[/tex]

Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]

Volume of 64 cubes [tex]= 8 ft^3[/tex]

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

A store is having a sale for 60% off the original price. A sweater is on sale for $30. What was the original price of the sweater?

1. $45

2. $18

3. $50

4. $200

Answers

Answer:

50$

30÷0.6 so yeah it's number 3

what is congruent and supplementary??

Answers

Answer:

1. Two angles are called complementary when their measures add to 90 degrees.

2. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

please help important!!!!!!!!!!!!!

Answers

Answer:

the answer is B!! hopefully this helps

Please help me!! I’m failing math. :(

Answers

Answer:

5:15 is the ratio for the amount of circles to total shapes.

Step-by-step explanation:

There are 5 circles and 15 shapes total.

So the ratio of circle to the total amount of shapes is 5:15

Hope I helped :)

Please consider Brainliest :)

1. Write 1980 in scientific notation

Answers

Answer:

1.98 x 10³  

Step-by-step explanation:

1980  

= 1.98 x 1000   (note 1000 can be written as 10³)

= 1.98 x 10³   (answer)

does car size and mpg have a positive, negative, or no correlation?

Answers

No correlation towards each other
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