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

Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?

Answers

9514 1404 393

Answer:

  24 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = (1/3)(3 cm²)(8 cm) = 24 cm³

The volume of the pyramid is 24 cm³.

*1.
Given the equation, 4x + 2y = -6, (6 points) (8.EE
a. Rewrite the equation into its y-intercept form

Answers

We want to write the equation in the form

y = mx + b.

We need to solve for y.

4x + 2y = -6

Subtract 4x from both sides.

4x - 4x + 2y = -4x - 6

2y = -4x - 6

Divide both sides by 2.

2y/2 = (-4x - 6)/2

y = (-4x - 6)/2

y = -2x - 3

Done.

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

Answers

Answer:

18.7 wreaths

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

From the above question:

23 pine cones = 1 wreath

430 pine cones = x wreaths

Cross Multiply

23 pine cones × x wreaths = 430 pine cones × 1 wreath

x wreaths = 430 pine cones × 1 wreath/23 pine cones

x wreaths = 18.695652174 wreaths

Approximately = 18.7 wreaths

Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon

Answers

Answer:

2/9 yards

Step-by-step explanation:

Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon

From the above question:

27 equal strips of ribbon = 6 yards of spool

1 strip of ribbon = x yards

Cross Multiply

27 strips of ribbon × x yards = 6 yards × 1 strip of ribbon

x yards = 6/27

x yards = 2/9 yards

Therefore, for 1 strip of ribbon we need 2/9 yards

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

Hello There!

x = # of cars and y = # of vans

the total amount of vehicles is 12 so

x + y = 12

each car can hold 4 students and each van can carry 12 students

there are a total amount of 72 students

so 4x + 12y = 72

so from the given information we can conclude that the answer is C

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?

Answers

Answer:15 ft

Step-by-step explanation:

Given

The total perimeter needed is [tex]40\ ft[/tex]

The available width of the room is [tex]w=5\ ft[/tex]

Suppose l is the length of the room

So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]

Putting values

[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]

Which expression is equivalent to 5(n + 7)?

Answers

5n + 35!!

All you can do is simplify by removing the brackets through the distributive property. This gives you another equivalent equation.

What is the total surface area?? PLEASE HELP THIS IS A QUIZ IM SO CONFUSED

Answers

Answer:

246 cm

Step-by-step explanation:

So I solved for the two triangles, 6x8=48/2=24, since there are 2, I multiplied by 2 to get 48 (Could've kept it just as 48 but it's good to keep the habit of dividing by 2 to get area of a triangle).  Then I did 6x9 for the front rectangle to get 54, and then solved for the right and back rectangle by doing 9x8 to get 72, 72x2=144

144+48+54= 246

an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation

Answers

Answer:

Step-by-step explanation:

PLSS HELP FOR BRAINLY!!!!

Answers

1st one I think ??????

What are the odds that the spinner lands on red or the number 4?
4
4
2
33

Answers

Answer:

5 to 3

Step-by-step explanation:

The desired outcomes are 4 or red.

Here are all the possible outcomes:

1 red

1 red

1 red

2 green

3 blue

3 blue

4 yellow

4 yellow

The desired outcomes are in boldface. There are 5 desired outcomes.

There are 3 outcomes that are not desired.

odds of 4 or red = 5 to 3

Answer:

5/8

Step-by-step explanation:

Help me out !! I’ll appreciate it !!

Answers

I would go with 1/2.

2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.​

Answers

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

I need help on solving these problems.

Answers

Answer:

the fist one is A and the second one is D

Step-by-step explanation:

Mrs smith and i went to the shop to creme eggs at 23p each & kinder eggs at 47 peach in bulk. We bought 141 eggs altogether & it came to 48.51 how many creme eggs did we buy ?

Answers

Answer:

Step-by-step explanation:

Mrs smith and i went to the shop to creme eggs at 23p each & kinder eggs at 47 peach in bulk. We bought 141 eggs altogether & it came to 48.51 how many creme eggs did we buy ?

i need help with this

Answers

Answer:

d=13

Step-by-step explanation:

step 1) combine like terms

8d-3d-12=53

5d-12=53

isolate d

5d-12+12=53+12

5d=65

d=13

the answer do that is d = 13

Boris runs 9 miles in 57 minutes.
How many miles does he run per minute?

(round to the nearest hundredth)

Answers

Answer:

0.16

Step-by-step explanation:

Speed= 9 miles/57 minuets=(9/57)

Now we want to figure out how many miles Boris runs per minuet

9/57= 0.15

Round to the nearest hundredth and it's 0.16.

Hope this helps!

the answer is 0.16...

The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?

15 feet
24 feet
12 feet
25 feet

Answers

Answer: pretty sure 25 feet

Step-by-step explanation:

Is 1/4, 1/5, 1/6, or 1/8 closer to 1

Answers

Answer:

1/8

Step-by-step explanation:

ingna ko kung wrong

nakasabot ka

Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1 and 3 over 4 pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1\frac{3}{4} pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?

Answers

Answer:

$8.75

Step-by-step explanation:

STEP TO TAKE TO DETERMINE THE ANSWER

Multiply 13/4 pounds by the cost of one pound of peanut. To do this, convert 13/4 to an improper fraction and then multiply it by $5

[tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]

[tex]\frac{7}{4}[/tex] × 5 = [tex]\frac{35}{4}[/tex] = [tex]8\frac{3}{4}[/tex] = $8.75

The rectangle below has an area of 81-x^281−x
2
81, minus, x, squared square meters and a width of 9-x9−x9, minus, x meters.

Answers

Answer:

1

Step-by-step explanation:

1x1

When written in factored form, 6w^2-11w−2 is equivalent to

Answers

Answer:

(6w+1)(w-2)

Step-by-step explanation:

Answer:

13w - 2

Step-by-step explanation:

6w² - 11w - 2

24w - 11w - 2

13w - 2

please help me lol. The figure on the left is reflected using line l to form the image on the right. Use the information in the original figure to label the corresponding parts in
the image.
Ite!
Ite
2.2
Ite
Ite
O
143
3.2
0
Ite
1084
Ite
639
O
o
Ite
Ite

Answers

Answer and Step-by-step explanation:

The sides and angles should be the same as the un-reflected version, except everything is flipped. Please see attached picture for reference.

#teamtrees #PAW (Plant And Water)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

Explanation of how reflection across axis works?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if we are reflecting  a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if we are reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ2

The dimensions of a lawn shaped like a trapezoid are given in meters. 18 meters, 4 meters, 5 meters, 12 meters. What is the area of the lawn in square meters?

Answers

Answer:

the  area of the lawn in square meters is  60 meters^2

Step-by-step explanation:

The computation of the area of the lawn in square meters is shown below

= 12 meters × 5 meters

= 60 meters ^2

Here we multiply the two sides so that the area of the lawn could be come

Hence, the  area of the lawn in square meters is  60 meters^2

In the diagram below DE is the midsegment of AABC.
Find the length of DE and BC.

Answers

Answer:

DE = 5

BC = 10

Step-by-step explanation:

ΔAED is a right triangle with legs of 4 and 6/2 = 3

Use the Pythagorean theorem to find DE

[tex]4^{2} + 3^{2} = DE^{2}[/tex]

16 + 6 = 25 = [tex]DE^{2}[/tex]

DE = 5

The midsegment of a triangle is 1/2 the length of the corresponding side.

Therefore, BC = 2 DE = 2(5) = 10 = BC

State if the triangle is acute, obtuse, or right ​

Answers

Answer:

right angle triangle

obtuse, using the Pithagorean Theorem we can deduce it is not a right triangle and since the result is bigger than that of a right triangle it is not acute

You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help

Answers

1500+5%= 1505 that is the answer I got I hope this was helpful

anyone knows the answer

Answers

232 jdjdjsbsihdjdjdkkdjdjddo

In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛

Answers

Answer:

37.5%

Step-by-step explanation:

30/80=37.5 percent

Answer:

37.5% of students say English is their favorite subject

Step-by-step explanation:

30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)

0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!

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