If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds

Answers

Answer 1

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground


Related Questions

Bob's Gift Shop sold 500 cards for Mother's Day. One salesman, Robert, sold 2% of the cards sold for Mother's Day. How many cards did Robert sell? Divide/scale down to solve for the missing percent.

Answers

Answer:

Robert sold 10 cards for Mother's Day

Step-by-step explanation:

2% of 500 is exactly like multiplying 0.02 with 500 which is 10

Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?

Answers

73.2-60=13.2 stefan is 13.2 inches now

i need to know what 26.6 divided by 7 is.

Answers

Answer:3.8

Step-by-step explanation:

At a garage sale, Curtis paid $20 for a box of 40 baseball cards. He plans to re-sell the cards for $4 each. If x is the number of cards that he can re-sell, then the equation y = -20 +4x can be used to determine Curtis's profit (y, in dollars).

Answers

Answer:

180

Step-by-step explanation:

Well, I'm not sure but maybe??

what is 34÷6837 show ur work​

Answers

Answer:

Step-by-step explanation:

  If you're allowed to use a calculator, type in 34, the division symbol, 6837, and finally enter:

  34 / 6837 = 0.00497

Answer:

0.00497294135

Step-by-step explanation:

Perform the indicated operation. Show all necessary work. a -2-(-9) b -2 -9 c -2- (-9)-(-2

please help i need to finish a test

Answers

Answer:

a=7 b=11 c=9

Step-by-step explanation:

-2-(9)      -2-(9) = -2+9=7 b -2-9=-11 c -2-(-9)-(-2) = -2+9+2=9

Answer:

Is the other answer correct?

Step-by-step explanation:

May I please receive help???

Please

Answers

Answer:

sorry i don't know the answer!

Step-by-step explanation:

if i knew i would'v helped..

The answer is 86 - 12= 74

Acellus
Choose SSS, SAS, or neither to compare
these two triangles.
Help Resources
А
SAS
neither
SSS

Answers

Answer:

SSS

Step-by-step explanation:

A movie theater uses a cone-shaped container to serve popcorn. The cone has a height of 12 inches and a volume of 16 π in2. What is the radius of the cone?

Answers

Volume can be defined as the capacity of a given container or a certain object.

The radius of the cone is 2 inches.

From the question, we are given the following parameters:

The height of the cone = 12 inches

The volume of the cone =  16 π in³

The formula to find the radius of the cone is given as:

√3V/πh

= √ 3 x 16π / π x 12

= 2 inches

Therefore, the radius of the cone is 2 inches.

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How to find the slope
(In general)

Answers

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Type of Slope: Visual Description

Undefined: vertical

Negative: downhill

How do i solve this table?

Answers

man im sorry because its hard to explain

Yes it’s a function

It’s a function because each input (the x) only has 1 output (the y)

An example where it wouldn’t be a function is a table like this:
1 | 4
1 | 5
2 | 7
3 | 12
4 | 19
Because 1 maps both to 4 and 5 so it’s not a function. But in your original table, it’s fine so it’s a function.

sas, sss, aas, or not enough information

Answers

Answer:

Sas

Step-by-step explanation:

Because it’s side angle side

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given triangles are congruent by :

SAS criterion

because two of their sides are equal and the angle between the is equal too (by vertical opposite angle pair).

Help please thank you!

Answers

The photo below has the answer

Un laboratorio desea saber la efectividad de un nuevo medicamento para el control de la diabetes. Al realizar un experimento en 10000 individuos encuentra que en el 90 % de ellos el medicamento resulta ser efectivo. Suponiendo que los 10000 individuos son representativos de la muestra, conteste las siguientes preguntas:
a) ¿Cuál es la población?
b) ¿Cuál es la muestra?
c) Identifique el parámetro de interés
d) Identifique la estadística e indique cuál es su valor e) ¿Se conoce el valor del parámetro?

PORFAVOR LA EXPLICACION AL RESPONDER LAS PREGUNTAS

Answers

Queremos encontrar diferentes cosas en un experimento dado. Daremos una breve explicación para cada respuesta.

a) La población es el grupo de gente que se estudia, en este caso la medicina es para diabeticos, por lo que la población en este caso sería toda la gente que padece dicha enfermedad.

b) La muestra se refiere a la parte de la población que participa en el experimento, en este caso son 10,000 personas con diabetes.

c) El parametro de interes, es decir, lo que le interesa estudiar a los cientificos, será la efectividad del medicamento que estan desarrollando.

d) Sí, se conoce el valor del parametro, se sabe que en 90% de los casos es efectivo, escribiendo esto de forma decimal, podemos decir que el medicamento es efectivo con una probabilidad de 0.9.

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The length of a rectangle is three cm more than twice the width. Perimeter is 78 cm.

Answers

Answer:

width = 12cm and the length = 27cm

Step-by-step explanation:

The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is less than three times the first number. Find the three numbers.

Answers

Answer:

23, 50, 64

Step-by-step explanation:

137 = 23 + 50 + 64

Let the first number be x

Second number: 2x+4

Third number: 3x-5

Write the equation:

x + (2x + 4) + (3x-5) = 137

Solve for "x"

6x - 1 = 137

6x = 138

x = 23

Plug x (23) into the equation:

x + (2x + 4) + (3x-5) = 137

23 + 2(23) + 4 + 3(23) - 5 = 137

(23 + 46 + 4 + 69) - 5 = 137

142 - 5 = 137

Which of the following is a characteristic of a deferred payment plan? (2 points)
There is an introductory period where no interest is accrued.
The item purchased is used as collateral until the balance is paid in full.
A down payment is always required.
A certain number of payments must be made before the product is owned.

Answers

A characteristic of a deferred payment plan is that the item purchased is used as collateral until the balance is paid in full.

A deferred payment plan is a form of credit purchase, a way to pay for an item in arrears. The payment is usually divided into several installments, which are distributed over a certain period of time. Interest and fees are often added, which in the end makes the purchase considerably more expensive than if you had paid in cash.

Thus, through this payment system, the asset is delivered to the buyer before the payment is completed, thereby constituting the asset itself as an enforceable guarantee of payment compliance.

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2 colum proofs???? i don’t understand these

Answers

Answer:

where is it?

Step-by-step explanation:

Select the correct answer?

Which expression is equivalent to y2/5, if y ≠ 0?

Answers

Answer:

Exponents =

[tex]\textsf y^{\frac{2}{5}} \textsf{equivalent} \sqrt[5]{y^2}[/tex]

Solution :

[tex]\textsf{When} \ a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

[tex]\textsf{And} \ y^{\frac{2}{5}} = \sqrt[5]{y^2}[/tex]

.

guys pls help me!!!!!!

Answers

Answer:

Step-by-step explanation:

i think its 64 degrees

Angles on a straight line equals 180⁰

180⁰-64⁰

116⁰

x=116⁰

Please help me with this math probelm ASAP!! Will give brainliest!! :)

Answers

Answer:

z=21, x=1, y=9

Step-by-step explanation:

3z=63 (a property of a kite)

z= 21

3x-1=2x (another property of a kite)

x=1

y+4=13 (another property of a kite)

y=9

Be sure to know your properties!

help me please
i need it

Answers

Answer:

5

Step-by-step explanation:

read your book so that you can know your book

The answer to your question is 5

A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.

Answers

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

Please please help me with this question please now and show your steps

Answers

Answer:

[tex]y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0[/tex]

A line has a slope of 9 and passes through the point (0, 5). What is its equation in slope -intercept form?

Answers

Answer:

y = 9x + 5

Step-by-step explanation:

Slope = m = 9

(0 , 5)

Slope intercept form: y = mx + b

y = 9x + b

Plugin x = 0 and y = 5

5 = 0 + b

b = 5

y = 9x + 5

68 =34 =23

True or False? (Hint: Type true or false)

Answers

Answer:

I believe it's false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

..................

WILL GIVE BRAILIST TO PERSON WHO ANSWERS CORRECTLY!!
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°

Answers

Answer:

The Answer is 16

Step-by-step explanation:

The three angles enclosed in a triangle, made by its sides, are called its internal angles. The sum of internal angles of a triangle is

180

o

. Based on its internal angles, a triangle can be classified as acute angled, right angled and obtuse angled.

Your Welcome! :)

The sum of the measure of angle of a triangle = 180° .

Given two angles = 92° and 72°

_________________________

92° + 72° = 164°

180° - 164° = 16° (Ans)

Please help me with this. Thanks!

Answers

Answer:

the plane is descending at a rate of 8,300 feet per minute

Step-by-step explanation:

31,275 - 22,975 = 9,300

BRAINLIEST PLEASE!

please help!!! thank you so much whoever does!!

Answers

Answer:

32 lbs

Step-by-step explanation:

Given:

1/4 spicy trail mix

3/8 regular trail mix

20 total mix

Math:

1/4 + 3/8 = 5/8

20/ (5/8) = 32

Answer:

32 pounds

Step-by-step explanation:

Fraction of supply for regular trail mix= ⅜

Fraction of supply for spicy trial mix

= ¼

[tex] = \frac{2}{8} [/tex]

We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.

Simplifying the above information into units form:

Total (supply)= 8 units

Regular trail mix= 3 units

Spicy trail mix= 2 units

Raisins used this week

= (3 +2) units

= 5 units

Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.

5 units ----- 20 pounds

Divide both sides by 5 to find how much raisins 1 unit represents:

1 unit ----- 20 ÷5= 4 pounds

Since his supply was 8 units of raisins,

8 units ----- 4(8)= 32 pounds

∴ He had 32 pounds of raisins at the beginning of the week.

The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?​

Answers

The form (x - p)^2 = q is the form that completing the square will leave us with.

---Add 5 to both sides

x^2 - 8x = 5

---Divide the b term by 2, and square it. Then, add that number to both sides.

-8/2 = -4

(-4)^2 = 16

x^2 - 8x + 16 = 5 + 16

x^2 - 8x + 16 = 21

---Factor!

(x - 4)^2 = 21

p = 4

q = 21

Hope this helps!! :)

P and q have values of 4 and 21, respectively.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The form (x - p)²= q is what we get when we complete the square.

Adding the number 5 on both sides,

x² - 8x = 5

After dividing by two, square the b term. Then divide both sides by that figure.

-8/2 = -4

(-4)² = 16

x² - 8x + 16 = 5 + 16

x² - 8x + 16 = 21

Solve the factors,

(x - 4)² = 21

p = 4

q = 21

As a result, the values of p and q are 4 and 21, respectively.

To know more about an expression follow

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#SPJ2

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