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

1) Castel and Rob are selling cheesecakes for a school fundraiser. Customers can buy New York style
cheesecakes and apple cheesecakes. Castel sold 5 New York style cheesecakes and 6 apple cheesecakes
for a total of $85. Rob sold 6 New York style cheesecakes and 6 apple cheesecakes for a total of $90.
What is the cost each of one New York style cheesecake and one apple cheesecake?

Answers

Answer:

new York cheese cake $5

Apple cheese cake $10

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the ywo fish tanks have the same amount of water?

Answers

Answer:

40! Seconds

Step-by-step explanation:

Calculation for After how many seconds will the two fish tanks have the same amount of water

First step

Based on the information given let the equation be :

150-1/2x=120+1/4x

Second step

Now let solve for x which means that x will be the number of second by multiplying both side by 4

4(150-1/2x)=4(120+1/4x)

=600-2x=480+x

Third step

Let Add 2x on both side

600=480+3x

Third step

Let Subtract 480 on both side

600-480=480-480+3x

120=3x

Last step is to divide both side by 3

120/3=3x/3

40=x

Hence:

x=40 seconds

Therefore After 40 seconds the two fish tanks will have the same amount of water.

Find the length of the segment with the end points (4,-3) and (7, 1) distance bridge math

Answers

ANSWER: 5 units
EXPLANATION: message me it’ll be easier to explain there

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

Answers

Answer:

Options A, B, C and D

Step-by-step explanation:

This question is not complete; here is the complete question.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

A. 24

B. 36

C. 180

D. 240

E. 1656

Cost of one candy = 69 cents  

Since, cost of 24 candies = Cost of one candy × Number of candies

                                          = 69 × 24

For partial product,

69 × 24 = (60 + 9)(20 + 4)

             = 60(20 + 4) + 9(20 + 4)

             = 60×20 + 60×4 + 9×20 + 9×4

             = 1200 + 240 + 180 + 36

             = 1656

Therefore, Options A, B, C and D are not possible partial products.

PLEASE HELP!!

what is true about the graph of the line y= -3x + 4?


a) the line has a slope of 4

b) the line has a slope of -4

c) the line crosses the y-axis below the origin

d) the line crosses the y-axis above the origin

Answers

Answer:

d) the line crosses the y-axis above the origin

Step-by-step explanation:

your welcome

I
Write an equation of the line passing through the point (2, 3) and
PERPENDICULAR to the line y = -2x + 2.

Answers

Answer:

y= 1/2 x +7

the slope is 1/2 since hwne it's perpendicular, it's reciprocal and the sign also changes

Step-by-step explanation:

3= -4 +b

b= 7

f(x) = -3x^2
Find f(-2)

Answers

9514 1404 393

Answer:

  f(-2) = -12

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

  [tex]f(x)=-3x^2\\\\f(-2)=-3(-2)^2=-3\cdot4=\boxed{-12}[/tex]

Please help me out if you answer you get brainliest and 50 points

Answers

Step-by-step explanation:

I believe month 10!! Hope this helps (and may not be correct)

Answer:

I KNOW THAT IN MONTH 4 THE VALUE PASSES THE GRADES FOUNDATION

Please answer this question

Answers

The answer is thirty seven
Angle 1 is 143
calculations:
first we are looking for the third interior angle
51 + 92 = 143
180 - 143 = 37 (THIS IS THE OTHER INTERIOR ANGLE)
now looking for angle 1
180- 37 = 143
angle 1 and the angle below it are supplementary angles that equal to 180

this is math pls help 3x + 2(5x − 7)

Answers

Answer: 13x - 14

Step-by-step explanation:

3x + 10x - 14

13x -14

Answer:

13x-14

Step-by-step explanation:

The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers.
a) set up the variables
Let _______ represent the first number Then _______ will represent the second number.
b) What is the equation that represents the above situation? c) Solve the equation.

Answers

Answer:

34 and 17

Step-by-step explanation:

x+y=51

2y=x

2y+y=51

3y=51

y=17

2(17)=x

x=34

Write 19/4 as a decimal

Answers

4.3 because 19/4 is 4 and 3 remainder. Since 4 is while 3 will be a tenth of 1. Meaning that 19/4 is 4.3

pls help i will give brainliest

Answers

Answer:

the thrid one

Step-by-step explanation:

The first one and the third one

Rita collected and stored beads in 4 different bags.the table below shows the number and color of beeds in each bag.

Answers

Answer:

Add the table and i might answer correctly

Step-by-step explanation:

hey may we please see the table? :))

Plz help due tomorrow

Answers

Answer:

15/16

Step-by-step explanation:

5×3=15

4×4=16

if they're two - you count them +

(my English is not very good :( )

5x3=15 4x4=16 those should be good

Manuel incorrectly claimed that the surface area of the cylinder shown is about 190.0 in.2. Use a formula to find the surface area of the cylinder. Use 3.14 for π. What was his likely​ error?

Answers

The likely error in Manuel's claim is 552.61 in².

We have,

Height = 16 in

Diameter = 11 in

radius = 5.5 in

The surface area of a cylinder.

= 2πrh + 2πr²

= 2 x 3.14 x 5.5 x 16 + 2 x 3.14 x 5.5²

= 552.64 + 189.97

= 742.61 in²

Now,

Manuel incorrectly claimed that the surface area of the cylinder is

190.0 in²

Error = Correct surface area - Claimed surface area

Error = 742.61 in² - 190.0 in²

Error ≈ 552.61 in²

Thus,

The likely error in Manuel's claim is 552.61 in².

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ4

ughhhhhhh help again please!!!

Answers

Answer:

90 degrees

Step-by-step explanation:

Assuming that this polygon is a square, x would be 90 degrees. In a square, all angles are right angles.

Please answer this questions step by step​

Answers

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

The solution to a system of linear equations is (0, 4).
One of the linear equations in the system is
y = 8x +4.

Which equation could be the other linear equation in the system?
• y=8
• y= 4.0
• y = 80
• y=4

Answers

Its y=4 the answer for this question

Which is the best estimate of the mass of a skateboard.
a 3 liters
b 3 kilograms
c 30 grams
d 3 grams

Answers

Answer:

3 kilograms

Step-by-step explanation:

one is for liquids and the others are too small i think

Solve for X:
5x+3x=2(4x-5)-2

Answers

Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation

Step-by-step explanation:

I distributed 2(4x-5)

5x+3x=20x-10-2

Sub 3x for 20x

5x=17x-10-2

Sub -10-2

5x=17x-12

Sub 5x-17x

12x=-12

Divide

Equals -1

Sry it took me a bite

A system of equations is: x = 10 and 3x + 5y = 20. In the system of equations, what is the value of y?

Answers

Answer:

2-

Step-by-step explanation:

[tex]x = 10 \\ 3(10) + 5y = 20 \\ 30 + 5y = 20 \\ 5y = - 10 \\ y = - 2[/tex]

WILL MARK BRAINLIST PLSSSSSSSSS

Answers

Answer:

Answer

Step-by-step explanation:

I believe it is the first or second choice. I believe it is the first choice, but it could be the second one.

Sorry hope it helps.

Which expression is equivalent to the given expression? 10q + 5

Answers

Answer: i think the answer is b

Step-by-step explanation:

think u

Conjecture: Any 2 circles in the plane are congruent. Do you agree or disagree
with the conjecture? If you agree, explain how you know. If you disagree, edit the
conjecture so it will always be true.

Answers

Answer:

Any 2 circles in the plane are similar.

Step-by-step explanation:

No, I disagree.

Any 2 circles in the plane are congruent only when their diameters have equal length.

Any 2 circles in the plane are similar.

Giving brainliest


Math!!

Answers

Answer: Option B
hope this helps!!

Answer:

B

Step-by-step explanation:

Bethany walks at a rate of 3 step every 2 seconds at this rate how many seconds will it take Bethany to walk 60 steps

Answers

Answer:

30seconds

Step-by-step explanation:

if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.

Jenny wants to save $900 to go to Puerto Rico. She saves $45 each week. Her brother gives her $180. Write an equation to find how many weeks she must save. (I need the equation)

Answers

Answer:

45x + 180 = 900

x being number of weeks

Step-by-step explanation:

The equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have:

The amount of money Jenny saved each week = $45

The amount her brother gives = $180

Total amount Jenny wants to save = $900

Let's suppose the number of weeks is x

180+45x = 900    (as she has already $180 and each week she saves is                                    

                              $45)                

So from the above equation, we can find the number of weeks.

After solving the equation:

45x = 900 - 180

x = 16 weeks

Thus, the equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

6. Simplify the expression 2x + 8. when x=4​

Answers

Answer:

16

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Plug in:

8+8

Answer:

16

Step-by-step explanation:

2 × 4 = 8

8+8= 16

your answer is 16 when x equals 4

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