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

4 yards = _______ feet

Answers

4 yards is equal to 12ft

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

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Answer:

20 gallons

Step-by-step explanation:

Divide 120 miles by 8 to find miles per gallon

120 ÷ 8 = 15 miles per gallon

Now divide 300 miles by 15 to find number of gallons required

300 ÷ 15 = 20

20 gallons are required for a journey of 300 miles

calculate the first four terms t=3n+2

Answers

Answer:

[tex]n = \frac{t - 2}{3} [/tex]

Step-by-step explanation:

1) Subtract 2 from both sides.

[tex]t - 2 = 3n[/tex]

2) Divide both sides by 3.

[tex] \frac{t - 2}{3} = n[/tex]

3) Switch sides.

[tex]n = \frac{t - 2}{3} [/tex]

Therefor, the answer is n = t-2/3.

solve for x in the triangle. round your answer to the nearest tenth

Answers

Answer:

x = 6.4

Step-by-step explanation:

Since you are given adjacent and hypotenuse use sin 53 = add/hyp

So .79863551 = x/8 so x = 6.3891

what is 3x- 12 = -2x - 42 ??? I know it equals -6 cause i did it on a caculator but how do i explain my answer ??

Answers

Answer

-6

Step-by-step explanation:

3x-12=-2x-42

(Collect like terms together:)

3x+2x=-42+12

(when the number crosses the equal sign it changes signs)

5x/5=-30/5

(We devided by 5 cause we looking for x not 5x)

Rewrite as a product of two factors: 3 + 18d + 21y​

Answers

Answer:

[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:factoringlet's solve:

in the following expression

everytime 3 is common

(3×1)+(3×6d)+(3×7d)

therefore if you take 3 from every expression we get

3(1+6d+7y)

which is a product of two factors

Help ?? Is it true of false ??

Answers

Answer:

True

Step-by-step explanation:

Im not 100% sure it is true but i hope this helps ^^

i need help with 5 pls!!! I’ll give brainliest:)

Answers

EZ THATS 3RD GRADE MATH ANSWER IS 154

A storekeeper increased the price of snack by `20\%`.



If the price of a snack (after the increase) is `\$3.25`, what is the original price?

Answers

The original price I believe is $2.60

what is the answer??? Please help me!
16% of 40 =

Answers

Answer:

16/100*40

32/2

lol so simple

gg

What the answer I nee this so I can move to the 9th grade

Answers

Answer:

el un angulo recto,   la concha de tu hermana

Step-by-step explanation:

no seas boludooo

Can you please help me​

Answers

Answer:

fczgxgfvfvfvhfxbfbf DVD tvfbgvcngbxng no se inglish peninglihs

What is the slope of the line shown in the graph?

Answers

Answer:

B. -2

Step-by-step explanation:

Help me plzz...!!!!!!!!!!

Answers

Answer:

i can see can we talk

Step-by-step explanation:

What is the measure of the missing angle in the triangle below? (Write just the number with NO titles or words)

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

all triangles have a sum of 180 degrees. so 115+35=150

180-150= 30

Helppppp please!!! D:


Determine the value of ? in the figure below:

PLEASE PLEASE TAKE YOUR TIME, NO CAP THO!!

Answers

Answer: ?=7
Explanation: Use pythagorean theorem

NEED HELP PLEASE ANSWER FAST AND CORRECT.

Answers

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

A survey of teens showed that teens in Pittsburgh aged 12–17 spend 15.8 hours per week online. Teens in Miami/Ft. Lauderdale spends 14.2 hours per week online. Write and solve an additional equation to find the difference in time spent online by teens in these cities.

Answers

Answer:

1.6 hours

Step-by-step explanation:

Given that:

Time spent by Pittsburgh teens, p= 15. 8 hours

Time spent by Miami teens, m = 14.2 hours

The difference in time spent by the teens from these two cities is given by:

Time spent by Pittsburgh teens - Time spent by Miami teens

p - m

15.8 - 14.2 = 1.6 hours

rewrite the equation in slope-intercept form.

8x-4y=20​

Answers

Slope intercept: y = mx + b
Subtract 8x
-4y = 20 - 8x
Divide by -4
Y = -5 + 2x
Switch around
Solution: y = 2x - 5

Question 7 (2 points)

The concession stand at a football game ordered a total of 2,360 straws. There were 4 bags of straws ordered with the same number of straws in each. What is the unit rate of straws per bag? Type only the number for your answer in the box.

Enter the correct answer in the box.





Blank 1:___________

Answers

Answer:

590

Step-by-step explanation:

2360/4=590, so there are 590 straws / 1 bag

The regular price of a CD is $15. What is the new price if there is a 20\% discount?

Answers

15 x 0,20 = 3$ give thanks! or the brain thing

A 20% discount means the new price would be 80% of the original price ( 100 - 20 = 80)

Multiply the original price by 80%:

15 x 0.80 = 12

The new price is $12

12(3+m)
A.36m
B.36+m
C.36+12m
D.3m+12m
PLEASSSSEEE HELP ASAP 15

Answers

Answer:

C. 36+12m

Step-by-step explanation:

When you distribute a number outside the parenthesis, you multiply it to all numbers nor letters in the parenthesis. Hopes this helps

Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.

Answers

Answer:

Frx8txutxitxigxtix7fv7t8citcti

Corey is visiting the Jefferson
Memorial with his family. He wants to estimate the
height of the statue of Thomas Jefferson. Corey
stands so that his line of vision to the top and base
of the statue form a right angle as shown in the
diagram. About how tall is the statue

Answers

Answer:

Step-by-step explanation:

He wants to estimate the height of the statue of Thomas Jefferson. Corey stands so that his line of vision to the top and base of the statue form a right angle as shown in the diagram. ... So, the total height of the statue is about 159 + 68 or 227 inches, which is equivalent to 18 ft 11 in. ANSWER: 18 ft 11 in.

will give brainliest for correct answer so pls help me

Answers

Answer: Greater range is girls, greater median is girls.

Step-by-step explanation:

150-70= 80 (girls) while 120-60=60 (boys), and boys is 8-.5 while girls is 110.

Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.

Answers

Answer:

$4242

Step-by-step explanation:

Given data

Principal=  $14000

TIme = 4 years

Rate= 6.85%

Let us find the final amount A

A=P(1+r)^t

substitute

A=14000(1+0.0685)^4

A=14000(1.0685)^4

A=14000*1.303

A=$18242

Hence the interest is

Interest= Final amount-Principal

=18242-14000

=$4242

Roger buys flowers to plant around his trees. 3/8 of the flowers are red. 1/3 of the flowers are pink. The rest of the flowers are white. Which of the following explains how to find the fraction of flowers that are white? A) Add 3/8 and 1, then subtract 1/3 from the sum. B) Add 3/8 and 1/3, then subtract the sum from 1. C) subtract 1/3 from 1, then add 3/8 to that difference. D) Subtract 1/3 from 3/8, then subtract the difference from 1.

PART B:
What fraction of the flowers are red or pink?
A) 4/11 B) 5/8 C) 17/24 D) 2/3

PART C:
What fraction of the flowers are white?
A) 7/24 B) 1/3 C) 3/8 D) 7/11

Answers

Answer:b, c, a

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex] of the flowers are red

[tex]\frac{1}{3}[/tex] of the flowers are white

to get the white flowers, add the two fraction and subtract them from 1

fraction of white flowers

Part- B

Fraction of flower red or Pink

[tex]\Rightarrow \dfrac{3}{8}+\dfrac{1}{3}=\dfrac{17}{24}[/tex]

Part-C

fraction of flowers that are white

[tex]\Rightarrow 1-\dfrac{3}{8}-\dfrac{1}{3}\\\\\Rightarrow 1-\dfrac{9+8}{24}\\\\\Rightarrow 1-\dfrac{17}{24}=\dfrac{7}{24}[/tex]

Please help. The brainiest answer will be picked as well. The question is down below in a picture.

Answers

Answer:

my guess would be 18 but I don't see any measurements for the chocolate


Allie was organizing her shoes. She counted her shoes and organized them by style. Allie had 2 pairs of tennis shoes, 2 pairs of high heels, 2 pairs of
flip flops, 2 pairs of boots, 1 pair of slippers and 1 pair of work flats. In total, allie has 10 pairs of shoes. Select the statement that accurately
describes Allie's shoe collection.
o 20% of Allie's shoe collection are slippers.
o The tennis shoes in Allie's shoe collection have a ratio of 2:10.
o 2 out of 10 shoes in Allie's collection are flats.
Out of 10 shoes, Allie only has 1 pair of high heels

Answers

Answer:

The tennis shoes in Allies shoe collection have a ratio of 2:10.

I pick that answer because the other ones don't make any sense

HELP PLEASE, I will mark brainless

Answers

to find the slope take two ordered pairs and put them in form of x2-x1/y2-y1 and then you can find the slope.

(-2,17) (-3,20)

(-2)-(-3) = 1
(17)-(20)=-3

slope is 1/-3
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