Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer 1

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet


Related Questions

About 5% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in groups of 400.

Answers

Answer:

20

Step-by-step explanation:

(5/100) * (400/1)

cancel the zeros

4 * 5= 20

Which line is a line of symmetry for the triangle?

A. A
B. D
C. B
D. C

Answers

Line B I think is the answer :)

PLZ HELP!!!!

Write a function rule for the area of a rectangle whose length is 6 ft more than its width. What is the area of the rectangle when its width is ​7 ft? Write a function for the area A of the rectangle using the independent variable-width W.

Answers

The expression for the area in terms of the width is:
A
=
w
2
+
7
w
When
w
=
12
, the area is
228
units.
Explanation:
We know that the formula for the area of a rectangle is:
Area = length x width
A
=
l
w
In this specific case, though, we are told that the length is
7
units greater than the width:
l
=
w
+
7
We can substitute this value for
l
into our area formula, and then there will be only one variable on the right-hand side:
A
=
l
w
=
(
w
+
7
)
w
=
w
2
+
7
w
This expression is the answer to the final sentence in the question, asking us to write an expression for
A
in terms only of
w
.
Now we can use our expression to find the area in the situation where
w
=
12
:
A
=
w
2
+
7
w
=
12
2
+
7
×
12
=
144
+
84
=
228
units

Simplify the following expression by
combining like terms:
9x2 + 6xy - 3xy + x2

Answers

Answer:

10x^2 + 3xy

Step-by-step explanation:

Hope this helps, have a good day

I dont know how to find out if this is a solution or not​

Answers

Answer:

im not exactly sure what ur looking for but your answer might be [tex]\:f\left(x\right)=4[/tex] or [tex]-2<x<3[/tex] fo #1 and #2 might be [tex]f\left(x\right)=-5[/tex] or [tex]-1<x<1[/tex] but not positive sooo

Step-by-step explanation:

hope this helps :)

[tex]4−16÷4+4²[/tex]

Answers

Answer:

16

Step-by-step explanation:

[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]

1) As you know, the area of a square is A = x , where for this problem, A is area in feet and x is the length of a side, in feet. If the length of a side is changing at a rate of 6 feet/minute when the length of a side is 4 feet, at what rate is the area changing?

Answers

The answer is 2 feet

Which represents an exterior angle of triangle EGF?
O ZMEG
O ZNEG
O ZPEQ
O ZRFS

Answers

Answer:

The correct answer is:

ZNEG/∠NEG

Step-by-step explanation:

An exterior angle is one outside the triangle that is formed by extending two of the sides of the triangle. Angle NEG is formed by extending EG and EF; this makes it an exterior angle.

You purchase a music store for $115,000. The estimated monthly revenue is $5500 and you expect monthly costs are $3200. Let R represent revenue during the first t months . Write a linear model for R

Answers

9514 1404 393

Answer:

  R = 5500t

Step-by-step explanation:

The estimated monthly revenue is said to be 5500 per month. Then for t months, the revenue R will be ...

  R = 5500t

_____

Additional comment

We expect costs to be C = 3200t, so profit is ...

  P = R -C

  P = 5500t -3200t

  P = 2300t

At that rate, it will be 50 months before enough profit is earned to pay for the initial cost of the store.

What is the rise between the points (0,0) and (8, 12)?

Answers

Answer:

8/12 or x+8 y+12

Step-by-step explanation:

The rise between the points (0,0) and (8,12) is 12.

What is the slope?

The ratio of the vertical and horizontal changes between two points on a surface or a line is known as the slope.

Rise is the difference of y-coordinates of the points.

Therefore, the rise between the points (0,0) and (8,12) is:

12 - 0

=12

Hence, the rise between the points (0,0) and (8,12) is 12.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

1. What is the value of s?
A. 8
B.16
C.16|2
D.32

Answers

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[tex] \cos(30°) = \frac{16 \sqrt{3} }{s} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s} \\ [/tex]

Inverse both sides

[tex] \frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} } \\ [/tex]

[tex] \frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} } \\ [/tex]

Multiply sides by 163

[tex]16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ [/tex]

[tex]s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} } \\ [/tex]

[tex]s = 32[/tex]

Thus the correct answer is Option D .

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MARKING POEPLE AS BRIANLIST ALL DAY if you answer the question and it is right thank u

Answers

Answer: AAS that's what it should be

Step-by-step explanation:

Function g can be thought of as a scaled version of f(x)=x^2

Answers

Answer:

g(x)=2x^2

Step-by-step explanation:

If you look at (1,1) for the blue function then (2,2) for g(x), you can kind of see that it is scaled by 2 (meaning its just twice as big). In another case you can see the blue function passing through (2,4), which matches with the point given to you for g(x), (4,8), which is twice as big.

The function of g(x) = 2x² can be thought of as a scaled version of f(x) = x².

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

To determine the function of g(x) can be thought of as a scaled version of f(x) = x²

When considering (1,1) for the blue function and (2,2) for g (x),

Its two-scale scaling can be seen in some parts implying that it is simply twice as large.

The blue function is visible in another instance as it passes through (2,4),

which corresponds to the point that was provided for g(x) (4,8),

which is twice as big.

Given that f(x) = x²

then g(x) = 2f(x)

Thus, the function of g(x) = 2x²

Learn more about parabola here:

brainly.com/question/4074088

#SPJ2

b. For
y = 6x + (-2),
what is y when
X=-1

Answers

Answer:

y=-8

Step-by-step explanation:

y=6x+(-2)

y=6(-1)+(-2)

y=-6+(-2)

y=-8

Hope this helps !! If you got any questions about it lmk

Pls help :( wll mark branliest

Answers

Answer:

proportional

Step-by-step explanation:

What is the lcm of 11 and 14

Answers

Answer:

154

Step-by-step explanation:

CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME

Answers

Answer:

2. 2/1 is the ratio of seltzer to juice.  It means that there is twice as much seltzer as there is juice.

3. (2,4) represents the amount of seltzer and juice.  At this point there are 4 cups of seltzer, and two cups of juice.

4. (1,2) can be used to find the constant of proportionality and slope.

5. y=2x

6. y=2*15

y=30

Step-by-step explanation:

If you need explanations for any of these let me know, and I'll add them.

Suppose you deposit 2500 in a savings account that pays you 5% interest per year A. How many years will it take for you to double your money? B. How many years will it take for your account to reach 8,000?

Answers

Answer: I don’t get it

Step-by-step explanation:

8,000 or 08,080?

Please help! thanks !!!!

Answers

Answer:

I believe that D is the answer.

Step-by-step explanation:

The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.

(For the X axis, you need to simplify.)

can someone pls help me with this

Answers

Can I see the whole question pls

Find the missing side-geometry!!

Answers

Answer:

12cm

Step-by-step explanation:

pythagorean theorem!

a^2 + b^2 = c^2

7^2 + b^2 = 13^2

49 + b^2 = 169

49 - 49 + b^2 = 169 - 49 (whatever you do to one side, you do to the other side)

b^2 = 147 (square root)

= 12cm


pleaseee help


find the slope of the line through each pair of points ( -1, -8) , (15, 20)

Answers

Answer:

-0.5

Step-by-step explanation:

ASSIGNMENT DUE IN 30 MINS PLZ HELP!!!!
I WILL GIVE U BRAINLIEST!!!

Answers

I don’t understand sorry

Each of the 25 students in Mr. McDonald’s class sold 16 raffle tickets. If each
ticket costs $15, how much money did Mr. McDonald’s students raise?

Answers

Answer:

6000 dollars

Step-by-step explanation:

25x16x15

Giving BRAINLEST to the correct answer I need atleast 60 percent on this test!

Answers

Answer:

A, C, D, and F all apply.

Step-by-step explanation:

Simply divide the numerator by the denominator to calculate the rational number.

5/4 = 1.25

15/-12 = -1.25, not 1.25

15/12 = 1.25

-5/-4 = 1.25

-5/4 = -1.25, not 1.25

-15/-12 = 1.25

I hope this helped you! If it did, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day! :)

Find the value of each trigonometric ratio.

Answers

for the first one is a for the second one is b for the third one is c for the fourth one is d that’s all the answer

simple math my tiny brain can’t understand PLEASE HELP

Answers

Answer:

if im not mistaken its 143

Answer: 2.26 units


Explanation: Since this is a right triangle, we can use trigonometry.
The trig ratios are SohCahToa. Using 37 as a reference angle, we see that TY is the opposite side and RT is the adjacent.

Thus, we have tan 37=x/3, which then becomes 3*tan 37.

The answer is then 2.26.

please help i need it now
2 drop down :900 or 1,900

Answers

I believe it would be 1,900
It’s 1,900 I know what ur on I did it

please help! One easy khan question! <33

Answers

Answer:

root 37 is write answer

need help on this thank you

Answers

Answer:

A. n = 1/63

B. k = 13/3

C. g = 5

D. w = 21/17

Step-by-step explanation:

A. 9n = 15/7 - 2

9n = 15-14/7

9n = 1/7

n = 1/7 ÷ 9

= 1/7 × 1/9

n = 1/63

B. 1/3 = k - 4

1/3 + 4 = k

1+12/3 = k

13 /3 = k

k = 13/3

C. g - 2/5g = 3

5g-2g/5 = 3

3/5g = 3

g = 3 ÷ 3/5

= 3 × 5/3

= 15/3

g = 5

D. 3/7w + 2w = 3

3w+14w/7 = 3

17/7w = 3

w = 3 ÷ 17/7

= 3 × 7/17

= 21/17

w = 21/17

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