A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?

Answers

Answer 1

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}


Related Questions

x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?

Answers

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above

Answers

A i’m pretty sure lmk if it’s right

Do the following setm of lengths form a right triangle 36,77, 85

Answers

Answer:

They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.

longest side = 85 and 85² = 7225

36² + 77² = 1296 + 5929 = 7225

Thus the 3 sides form a right triangle

Find the area of the composite figure.

A. 51 m2

B. 81 m2

C. 102 m2

D. 420 m2

Answers

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

20 POINTS! Please help!

Find the value of x. Round to the
nearest tenth.

x = [?]

Answers

Answer:

4 hope it helps you better

what % of 25 = 5
Please hurry​

Answers

5 is what percent of 25? = 20

Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?

Answers

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees

Answers

80.5 that’s the answer yep yep

The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?

Answers

Width is x - 3

A
=
x
2
+
6
x

27
=
(
x
+
9
)
(
x

3
)

the width is x - 3

~iwa-chan

An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?

a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00

Answers

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. =  (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel  pad, m₁ = ρ × V₁

∴ The mass of the steel  pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

The cost of the material for the full-sized steel pad, C = m₁ × P

∴ C = 4,050 lbs × $55/lb = $222,750

The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?

Answers

Answer:

8 percent

Step-by-step explanation:

2.4/30 = 0.08 or 8%

James made 8 pancakes that are all approximately 4 inches in diameter, and 0.5 inches tall. He stacks all of the pancakes on top of each other. What is the total approximate volume of the stack of pancakes rounded to the nearest cubic inch?

A. 16 cubic inches
B. 50 cubic inches
C. 100 cubic inches
D. 201 cubic inches​

Answers

Answer:

The answer is A:16

Step-by-step explanation:

8+4+0.5=16 I think so

What is a positive data set on a graph?

Answers

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold

What fraction of the players sold between 8 and 16 popcorn tins?

Answers

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

We have given that,

The players sold between 8 and 16 popcorn tins,

If you look at the box, the middle number is 12, or since it's the middle 1/2.

What is the fraction?

Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.

So the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

To learn more about fractions visit:

https://brainly.com/question/78672

#SPJ2

i need help with this question

Answers

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37

Answers

29
Step 1: Add the two middle numbers (28+30)
Step 2: Divide the sum by 2 (58/2=29)

Answer: 27.9

Step-by-step explanation:

Add all the numbers together and divide it by how many number there is so

all the numbers added together is 279

there are 10 numbers there so you divide 279 by 10 and it gives you 27.9

what is equvalint to 1/2a-4

Answers

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it’s just original 8

If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)​

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Between which two points can you draw a line with a negative slope? Pls answer quick

Answers

Answer:

Between A and C.

Step-by-step explanation:

A negative slope rises to the left  (\).

Answer:

a line between a and c

Step-by-step explanation:

if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

Can someone help me on this question

Answers

Answer:

All real numbers such that 37.75 <or= y <or= 40

Step-by-step explanation:

This means that y is greater than or equal to 37.75 but less than or equal 40 and according to the table, that's true.

Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.

Answers

Answer: 2

Step-by-step explanation:

Given

In a litter of 10 Puppies, 4 are black i.e.

[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]

In a litter of 5, there would be

[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]

There are 2 black puppies

6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

I a) Yes
b) No

Answers

Answer:

No

Step-by-step explanation:

the sum of the two shorter sides must be greater than the longer side

(not even if it is equal to, as in this case)

Here are some formulas to see if 3 sides can make a triangle...

[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]

So a=3

b=5 and c=8

3+5=8

So no it can't.

Division sum:
12 ➗ 2 =
100 ➗ 1 =

Answers

Answer:

12÷2=6

100÷1=100

Step-by-step explanation:

Answer: 6 and 1

Answer:

6

100

Step-by-step explanation:

in division:

12÷2=6

100÷1=100

Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?

A 0.21%

B 21%

C 22%

D 27%

Answers

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45

Answers

Answer:

c

Step-by-step explanation:

20w=4w*5w

45WT=5WT*9WT

6 members each swam 1,685 meters during the season; how many total kilometers did the 6 members swim during the season

Answers

Answer:

10.110 km

Step-by-step explanation:

1000 meter = 1 kilometre

Since we are to provide the answer in kilometres, we have to convert the meters to kilometres

1685 m = 1685/1000 = 1.685km

Total kilometres swan by the 6 members =  1.685km x 6 = 10.110 km

Method 2

1.685km +  1.685km +  1.685km +  1.685km +  1.685km +  1.685km = 10.110km

1÷1+cosa+1÷1_cos a please solve question​

Answers

ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST

A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?

Answers

Answer:

V=lbh=2.4×3×6=43.2cm^3

GIVEN

We are given a candy batband we are given its dimensions

height = 2.4cmwidth= 3cmlength= 6cm

TO FIND

We need to find it's volume

Volume of a cuboid is given by l×b×h

SOLUTION

Volume = length × breadth × height

Volume = 2.4 × 3 ×6

Volume = 43.2 cm^3

3√x^2
I need to write this as a fractional exponent.​

Answers

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

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