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Mariana [72]
3 years ago
13

April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 11 feet high. The height of t

he arrow is given by the function ​h(t)equalsminus16t squaredplus32tplus11​, where t is the time is seconds. What is the maximum height of the​ arrow?
Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

27 ft

the maximum height of the​ arrow is 27 ft

Step-by-step explanation:

Given;

The height of the arrow is given by the function;

h(t) = -16t^2 + 32t + 11

Maximum height is at point when dh(t)/dt = 0.

Differentiating h(t), we have;

dh/dt = -32t + 32 = 0

Solving for t;

-32t = -32

t = -32/-32 = 1

t = 1 (time at maximum height is t = 1)

Substituting t=1 into h(t), to determine the value of maximum height;

h(max)= -16(1^2) + 32(1) + 11

h(max) = 27 ft

the maximum height of the​ arrow is 27 ft.

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A box measures 2 cm x 0.09 m x 20 mm. what is its volume in cubic centimeters?
Anestetic [448]
The volume would be 3.6cm4th power because 2cm x 0.09m x 20mm, you have to combine multiplication rules so you have to multiply the 2 x 0.0.09 x 20 and you would get 3.6cmxMxMxM, then you have to add the exponent if the term doesn't have one so it would be 3.6cm1 x m1 x m1 x m1. when you gather it, the sum would be 3.6cmxM1+1+1+1. the total answer would be 3.6cm4th power.
4 0
3 years ago
What is the equation of the line that passes through the point (8,−4) and has a slope of 1/2
jeka57 [31]

Answer:

y=1/2x+8

Step-by-step explanation:

-4=1/2*8+b

-4=4+b

b=4+4

b=8

6 0
3 years ago
Use the information provided to calculate the different parts of the proposal: The lazy river is basically a large circle that w
Step2247 [10]

Answer:

10,995.6 ft^3.

2300.3 gallons.

(both to the nearest tenth).

Step-by-step explanation:

Area of the surface of the river =  area of the  outer circle - area of the inner circle.

Radius of the outer circle  = 30 *3 = 90 feet.

So the surface area of the river = π(90)^2 - π(85)^2

= 875π ft^2

Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3

= 10,995.6 ft^3.

Number of gallons of water it will hold = 10,995.6 /  4.78

= 2300.3 gallons.

4 0
3 years ago
Solve the system of linear equations by substitution.<br> 2x-y=3<br> x+5y=14
adoni [48]
Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12
4 0
3 years ago
Estimate the line of best fit using two points on the line.
mash [69]

Answer:

B. y = -2/3x + 12

Step-by-step explanation:

Formula to find the slope when given two points on a line:

<u>y</u><u>2</u><u> </u><u>-</u><u> </u><u>y</u><u>1</u>

x2 - x1

Substitute the two given points (6, 8) (9, 6):

<u>6</u><u> </u><u>-</u><u> </u><u>8</u>

9 - 6

Slope = -2/3x

We found the slope! And the answer choices already gave us one y-intercept, which is 12. The last thing we do is we form an equation with the information we solved and that was given to us.

y = slope (x) + y-intercept

y = -2/3x + 12

The answer choice that matches this equation is B.

In conclusion, the equation that best estimates the line of best fit shown above is answer choice B.

5 0
3 years ago
Read 2 more answers
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