If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?

Answers

Answer 1

Answer:

the number of seconds to reach the height is 3 seconds

Step-by-step explanation:

The computation of the seconds that reach the height is as follows;

Given that

h = -16t^2 + 96t + 48

here

H = 192 feet

So,

192 = -16t^2 + 96t + 48

-16t^2 + 96t - 144 = 0

Divide by -16

t^2 - 6t + 9 = 0

t^2 - 3t - 3t + 9

t(t - 3) - 3(t - 3)

t = 3 seconds

Hence, the number of seconds to reach the height is 3 seconds


Related Questions

Is quadrilateral UVWX a parallelogram? Why or why not?

Answers

Answer:

C

Step-by-step explanation:

Slope of UV = 0 = Slope of XW

So UV is parallel to XW.

Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2

Slope of VW = [6-(-4)]/(0-4) = -5/2

Slope of UX = Slope of VW i.e. UX is parallel to VW.

It is a parallelogram because opposite sides are parallel.

Answer:

Yes, because opposite sides are parallel.

Step-by-step explanation: I took the test

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

Answers

Answer:

14.86854, or 15

Step-by-step explanation:

Given that
5
x
:
9
=
8
:
3
Calculate the value of
x
.
THE CORRECT ANSWER WILL BE BRAINLIEST

Answers

Answer:

x=4.8

Step-by-step explanation:

5x:9 = 8:3

It can also be written as

5x/9 = 8/3

Cross multiply

5x*3 = 8*9

15x = 72

Divide both sides by 15

15x/15 = 72/15

x =4.8

Graph y = 3/4x + 2
Im cray-zee for not knowing this lol

Answers

Answer:

*give credit to Desmos

Step-by-step explanation:

Division number story with the answer 5/2

Answers

Answer:

I have one below (It's kind of simple though..)

Step-by-step explanation:

Harry Had 5 Potions he made in Potions Class. He would like to share the 5 potions with his 2 friends, Ron and Hermione. How many potions do they each get? Write the equation for how many each person gets in fractional form

(This is a simple one I don't have a complicated one..)

HELP!!!

Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|

Answers

The answer to the question is: A.4 x=4

Answer:

A. 4,  X = 4

Step-by-step explanation:

-3x - 8 = -20

Move the constant to the right-hand side and change its sign

-3x = -20 + 8

Calculate the sum

-3x + -12

Divide both sides of the equation by -3

x = 4

Solution

x = 4

An architect is making a model of a building she is designing. The kitchen will be 8 feet by 14 feet. The scale she is
using for the model is 3 inches = 2 feet.

Answers

Answer:

12 inches by 21 inches

Step-by-step

Let's start with the 8 feet

for every 2 feet add three inches you get a total of 12 inches

same for the 14 feet, you get 21 inches

What is the value of the expression 19 - ?

Answers

It’s going down, there’s no value

PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST

Answers

Answer:

B=12/13

Step-by-step explanation:

Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA

What is the distance from C to D?

A. 5 units
B. 1 unit
C. 25 units
D. 7 units

Answers

Answer:

Option A

Step-by-step explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]

[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

PLS help me
if you get it right i will give brainliest

Answers

Given:

In a right angle triangle,

Perpendicular =  8 units

Base = x units

Hypotenuse = 17 units

To find:

The exact value of x.

Solution:

The given triangles is a right angle triangle. So, side lengths form a Pythagorean triplet.

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

[tex](17)^2=(x)^2+(8)^2[/tex]

[tex]289=x^2+64[/tex]

[tex]289-64=x^2[/tex]

[tex]225=x^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{225}=x[/tex]

[tex]\pm 15=x[/tex]

Side cannot be negative. So, [tex]x=15[/tex].

Therefore, the required value is [tex]x=15[/tex] and yes, the side lengths form a Pythagorean triplet, i.e., (8,15,17).

Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bakery collect if it sells the cookies for $7 per box? Show how you solved this below.

Answers

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

The number of boxes will be

1450/25

=58  boxes

Step two:

The cost per box is $7

hence the cost of 58 boxes will be

=7*58

=$406

Write the equation of the line, in slope intercept form through the following two points
(-9,-1)
(4,0)

Answers

Answer:

y=1/13x - 4/13

Step-by-step explanation:

Just follow the slope intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

25 penalties decreased by 32% is
penalties.

Answers

25-32%=17
hope this helped :)

Answer:17

Step-by-step explanation:

A ski jacket has a price of $182.50. The sales tax rate is 7.2%. What is the sales tax for the jacket in dollars and cents?

Answers

Answer:

Sale Tax: $13.14

After-Tax Price: $195.64

Step-by-step explanation:

Solve by factorisation
2x2 + 3x - 20 = 0

Answers

(2x - 5) (x + 4).................

The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

Answers

Answer:

16.69 cm³

Step-by-step explanation:

In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism

Volume of the cylinder assuming there is no prism through it

V=πr²h  where r is radius of the cylinder and h is height of the cylinder

Given that diameter = 2, then r= 1 cm  and height, h = 6cm

V= π * 1 * 1 * 6

V= 18.85 cm³

Volume of the rectangular prism

V= l*w*h

V= 6*0.6*0.6

V= 2.16 cm³

The volume of the cylinder without the prism

18.85 cm³-2.16 cm³ = 16.69 cm³

Answer:

Not an answer

Step-by-step explanation:

sophie buy a guitar during the sale if the original price was $90.64 how much does sophie pay

Answers

Answer:

$67.98

Step-by-step explanation:

The discount was 25%, so you would need to multiply 90.64 and 0.25.

90.64*0.25= 22.66

However, that isn't your final answer because 22.66 is how much Sophie saved.

90.64-22.66= 67.98

Therefore, your answer would be $67.98.

Hope this helps :)

Answer:

45.54

Step-by-step explanation:

Solve that and 10 points given

Answers

it’s actually 5 points but ok

Answer:

-9x+11y=-14

x= ( 13/4 +3/8y) + 11y+-4

y=2

x=13/4 + 3/8 x 2

x=4

Step-by-step explanation:

The temperature dropped 6°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was
loc.

Answers

About 42 degrees fahrenheit

Write an equivalent expression using the Distributive Property.

Enter the correct answers in the boxes.

35+21=7(_+_)

Answers

Answer:

35 + 21 = 7(5 + 3)

Step-by-step explanation:

In this question, we have to write an equivalent expression to the one on the left, while using the distributive property.

Our equation is: 35 + 21 = 7(_ + _), we have to find the missing values.

In the equation, we can see that  7 is divisible to 35 and 21, which means we can simply divide in order to get our missing numbers.

Divide:

35/7 = 5

21/7 = 3

When we plug those values into our equation, it would be:

35 + 21 = 7(5 + 3)

When you use distributive property by distributing the 7 to the number inside the parenthesis, you would get this:

35 + 21 = 35 + 21

When you simplify, you would get the same answer.

56 = 56.

Therefore, your answer would be 35 + 21 = 7(5 + 3)

Answer:35 + 21 = 7(5 + 3) is the answer.

Have a great day!

Step-by-step explanation:

The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?

Answers

Answer:

1/5

Step-by-step explanation:

The transformer formula is as expressed as

Ns/Np= Ip/Is

Ns and Np are the number of turns in the secondary and primary coil respectively

is and Ip are the currents in the secondary and primary coil respectively

Given the following

Ip = 16A

Is = 80A

Substitute into the formula

Ns/Np = 16/80

Ns/Np = 1/5

Hence the transformer's turn ratio is 1/5

Answer: for pf, 1:5 is WRONG!

Step-by-step explanation:

Help please pleseee

Answers

I think it could be not similar because the other one looks more big that the little one

A computer has a sales price of $150, and is advertised for 25% off of the original price.
What is the original price?

Answers

Answer:

Original price:$150

Markdown percentage:25%

Sale price:$112.50

Discount savings:$37.50

Step-by-step explanation:

If the discount price is 150 then the original price was 200. Because 200 x .25 makes 50 dollars, which is the discount you will subtract from 200

Help mee please!!

answer choices:

(2,3)
(3,2)
(3,4)
(3,-2)

Answers

I'm pretty sure it's (3,-2)

What is the function for the red line?

It has to be one that matches up against the stars!!

Answers

red line is crimson because itit tha national colour of nepal

Gwen walked a total of 6 kilometers by making 2 trips to school. After 3 trips to school, how
many kilometers will Gwen have walked in total? Assume the relationship is directly
proportional

Answers

Answer:

9 km

Step-by-step explanation:

If Gwen were to walk 3 km for every trip she takes, she would walk 6 km on the second trip and 9 km on the third trip.

Sally has a budget for school stationery of $37, but has already spent $22.72 on books and folders. Let p represent the amount that Sally can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.

Answers

Answer:

[tex]p\le 14.28[/tex]

Step-by-step explanation:

Total budget for school stationery = $37

She has already spent $22.72 on books and folders.

Left amount = $37 - $22.72

= $14.28

Let p represent the amount that Sally can spend on other stationery. It implies that "p" must be less than or equal to $14.28 .

Hence, the required inequality is :

[tex]p\le 14.28[/tex]

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a jack or a nine.
A) 5/52
B) 6/52
C) 7/52
D) 8/52
Show work pls.

Answers

Answer:

1/169

Step-by-step explanation:

Assume jacks are “a”

and nines are “b”

a= 4/ 52

b= 4/52

now multiply

4/52 x 4/52 = 16/52

and simplify

4/13

(i dont know why the answer choices are different)

Please help i have no idea how to do this
given a polynomial and one of its factors find the remaining factors of the polynomial (5x^3-17x^2+6x);(x-3)

Answers

Answer:

x • (3x + 1) • (x + 2) • (2x - 3)

Step-by-step explanation:

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