Round numerical answers to the nearest hundredth, if necessary.


A water bottle rocket is shot upward with an initial velocity of vi = 40 ft/s from the roof of a school, which is at hi = 70 ft above the ground. The equation h = −

1

2

at2 + vit + hi models the rocket's height as a function of time. The acceleration due to gravity a is 32 ft/s2.

Answers

Answer 1

We are to find how long will it take to return to the ground?

Answer:

t = 0.48 sec

Step-by-step explanation:

We are given;

initial velocity; vi = 40 ft/s

hi = 70 ft

acceleration due to gravity; a = 32 ft/s²

Now, we are given that the rocket's height as a function of time is;

h = -12at² + vit + hi

At ground, h = 0

Plugging in the relevant values to obtain ;

0 = -12(32)t² + 40t + 70

-384t² + 40t + 70 = 0

The roots of the equation gives; t = 0.48 sec


Related Questions

Sara is training for a marathon. On week one she could only run 4 miles without stopping for a rest. By week four she could run 11 miles. What percent did she increase her running

Answers

Answer:

Step-by-step explanation:

Distance increased =  11 -4 = 6 miles

Percentage =

=[tex]=\frac{7}{4}*100\\\\=7*25\\[/tex]

= 175%


Mya's lunchbox is shown. What is the volume of the lunchbox? Round to the nearest tenth if necessary.

Answers

Final answer:

The volume of Mya's lunchbox can be calculated by multiplying its length, width, and height. However, the dimensions were not provided in the question.

Explanation:

The volume of a three-dimensional object like Mya's lunchbox can be found by multiplying the object's length, width, and height together. If Mya's lunchbox is a rectangular prism, for instance, and we know its measurements, we can calculate its volume using the formula Volume = Length x Width x Height. However, the question didn't provide the necessary dimensions of the lunchbox. Therefore, you need to provide the dimensions of the lunchbox for me to be able to help you calculate its volume.

Learn more about Volume calculation here:

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A first number plus twice a second number is 14. Twice the first number plus the second totals 19. Find the numbers.

Answers

Answer:

first number is 8 second number is 3

Which set of numbers may represent the lengths of the sides of a triangle?





A.
5, 7, 9
C.
8, 5, 3
B.
1, 3, 4

D.
4, 4, 9

Answers

Answer:

A

Step-by-step explanation:

because for the sides to make a triangle the sum of the two shorter sides must be greater than the longest

Answer:

A, 5, 7, and 9

Step-by-step explanation:

There is a rule that states that the two shorter sides of a triangle have to be greater than the largest side.

A is correct because 5 + 7 > 9

B is incorrect because 5 + 3 = 8

C is incorrect because 1 + 3 = 4

D is incorrect because 4 + 4 < 9

I hope this helps.

A zookeeper predicted the weight of a new baby elephant to be 252 pounds when it was born. The elephant actually weighed
284 pounds at birth. What was the percent error of the Zookeeper's prediction?

Answers

Answer:

11.7%

Step-by-step explanation:

284-252=32

32 is about 11.7% of 284

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those are from his neighborhood.

What is p(call a person not from his neighborhood)?

Answers

Answer:

Depends on if you count his parent(s) if not then the answer is 5

Step-by-step explanation:

Answer:

[tex]0.2[/tex]

Step-by-step explanation:

Probability = Number of favorable outcomes / Number of posssible

outcomes

There are [tex]5[/tex] favorable outcomes ( the [tex]25-20 = 5[/tex] people not from his neighborhood).

There are 25 possible outcomes ( the [tex]25[/tex] total contacts).

P (call a person not from his neighborhood) [tex]= \frac{5}{25} = 0.2[/tex]

1. You weigh six packages and find the weights to be 32, 22, 72, 27, 67, and 10 points
62 ounces. If you include a package that weighs 152 ounces, which will
increase more, the median or the mean?

Answers

Answer:

MEAN INCREASES MORE

Step-by-step explanation:

The adventure club went on a hike to see a waterfall. To get to the hike, the club members took 6 cars and 8 vans. There were 5 people in each car and 8 people in each van. How many people went on the hike?

Answers

Answer:

94 club members

Step-by-step explanation:

8 x 8 = 64

5 x 6 = 30

64 + 30 = 94

What is the measure of ∠A, to the nearest degree?
17°
33°
57°
73°
A scalene triangle A B C. Side B C is the base. Side A B is labeled as 7 meters. Side A C is labeled as 7 meters. Side B C is labeled as 4 meters.

Answers

Answer:

33

Step-by-step explanation:

The temperature rises 2°C each hour from 6:00 a.m. to 3:00 p.m. What is the total change in temperature during this period of time?

Answers

Answer:

18 degrees c

Step-by-step explanation:

9•2=18

Answer:

9 Times 2=18

Step-by-step explanation:

Point D is the midpoint of HJ. Point D is located at (-3,4) and point His located at (9,-6). Where is point J located?

Answers

Answer:

(-15,14)

Step-by-step explanation:

as the question states, d is a mid point. so, if there is a -12 difference in x, then you must apply that to d to create the opposite point. the same goes for y but its a +10 difference. when you apply it, d is (-15,14)

Answer: (-15,14)

Step-by-step explanation:


Which coordinate pair identifies a point in the third quadrant of the coordinate plane?

A) (15, 10)
B) (15, −10)
C) (−15, 10)
D) (−15, −10)

Answers

Answer:

D) (-15, -10)

Step-by-step explanation:

The third quadrant is negative on the x and y side.

aisha and jordan start by making a floor plan for their treehouWhich revision of these two sentences best shows that the coach blowing the whistle happened first?

The referee blew the whistle. The team ran onto the field.


Before the team ran onto the field, the referee blew the whistle.

The referee blew the whistle, but the team ran onto the field.

The referee blew the whistle because the team ran onto the field.

While the team ran onto the field, the referee blew the whistle.se. they decide to build a porch on one side of the treehouse

Answers

Answer: Statements 1 and 2 shows that the coach blowing the whistle happened first.

Step-by-step explanation: The coach blowing the whistle as the first event can be seen only from statements 1 and 2 only.

From statement 1, "the referee blew the whistle" was followed by "the team ran onto the field."

From statement 2, "before the team ran onto the field" shows clearly that one event took place "BEFORE" the one being reported and the one that occurred before this one was "the referee blew the whistle."

Statement 3 which is "the referee blew the whistle, BUT..." indicates that the whistle was meant to prevent the team from from running onto the field. So if the referee blew the whistle, but the team ran onto the field, it means the whistle blowing was not supposed to make them run onto the field.

Statement 4, which states that "the referee blew the whistle BECAUSE the team ran onto the field" indicates that, the reason for blowing the whistle was because the team ran onto the field which clearly shows that the team ran onto the field first before the referee blew the whistle.

Statement 5, "WHILE the team ran onto the field..." clearly shows that both events took place at the same moment, and so the referee blowing the whistle could not have occurred first.

Find LCM (22, 26, 351).

Answers

Answer:

7722

Step-by-step explanation:

LCM(22, 26, 351) = 7722

2x / 3 = 12

HELP WILL GIVE 30 POINTS

Answers

Answe

Standard form:

2

3

x − 12 = 0

Factorization:

2

3

(x − 18) = 0

Solutions:

x = 36

2

= 18        

Step-by-step explanation:

Answer:

yea 18

Standard form:

2

3

x − 12 = 0

Factorization:

2

3

(x − 18) = 0

Answer:

x = 36

2

= 18        

Graph the function and identify the domain and range y= -4 x^2

Answers

Step-by-step explanation:

y=-4x²

if x=0 x=2

y=0 y=16

x=1 x=-2

y=4×1² y=-16

y=4

x=-1

y=-4

What is the answer to this

Answers

Answer:

250decay0.05

Step-by-step explanation:

The value with the exponent is the "multiplier". It is 0.05.

This value is less than 1, so the function represents decay.

The initial value is the number that multiplies the exponential term. It is the value of A when t=0: 250.

original amount: 250growth or decay: decaymultiplier: 0.05

identify the real part and imaginary part of each number below
8-7i
19i

Answers

Answer:

8-7i     8 is the real part  and -7 is the imaginary part

19i      0 is the real part and 19 is the imaginary part

Step-by-step explanation:

8-7i     8 + (-7) i       the real part is 8 the -7 is the imaginary part

19i       0 + 19i       the real part is 0 the 19 is the imaginary part

The real and imaginary parts of complex numbers 8 - 7i and 19i are given below:

For the complex number 8 - 7i, the real part is 8 and the imaginary part is -7.

For the complex number 19i, the real part is 0 and the imaginary part is 19.

Can someone please help me with my homework number

7.

8.

9.

10

11.

12.

13.

14.

15.

16.

17., and 18.

Answers

Answer:

Below.

Step-by-step explanation:

7. 570

8. 850

9. 820

10. 670

11. 600

12. 700

13. 700

14. 900

15. 301

16. 194

17. 487

18. 539

I hope none of these are wong, stay safe! xx

Solve for X ???

A. 2 / 15
B. 20
C. 30
D. / 35

Answers

Answer:

2 sqrt(15)

Step-by-step explanation:

Using the secant tangent formula

(whole secant) x (external part) = (tangent)^2

(5+7) * 5 = x^2

12*5 = x^2

60 = x^2

Taking the square root

sqrt(60) = sqrt(x^2)

sqrt(4*15) = x

2 sqrt(15) =x

PLEASE ANSWER! WILL GIVE BRAINLIEST!!!

$750 at a 4% annual compound interest rate over a period 4 years

Which of the following statements are true of the data? Check all that apply.
The starting balance of the 3rd year is $811.20.
The interest earned in the 3rd year is $31.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
The ending balance for the 4th year is $874.85.

Answers

Answer:

The starting balance of the 3rd year is $811.20.

The ending balance for the 3rd year is $843.65.

The interest earned in the 4th year is $33.75.

Step-by-step explanation:

750 × (1 + 4%)^n

750 × (1.04)^n

750 × 1.04² = 811.2

(End of second year, starting of third year)

750 × 1.04³ = 843.648

In third year: 843.648 - 811.2

= 32.448

750 × 1.04⁴ = 877.39392

During the fourth year:

877.39392 - 843.648

33.74592

Answer:

The starting balance of the 3rd year is $811.20.

The ending balance for the 3rd year is $843.65.

The interest earned in the 4th year is $33.75.

Step-by-step explanation:

I did it on edg.

The hollow sphere has a diameter of 6 cm. Which expressions represent the volume of the shaded composite figure? Check all that apply. π(33) – π(1.53) π(9) – π(2.25) 36π – 4.5π 31.5π 40.5π

Answers

Answer:

A ,C,D

Step-by-step explanation:

I just finish edgenunity. so i know its correct √

Carl filed a claim after he rear-ended another car, causing damage to each

car's bumper. Which deductible would he have to pay first, before he receives

a payment from the insurance company?

A. Collision

B. He would not have to pay any deductible because he was not at

fault.

C. Comprehensive

D. Premium

Answers

The deductible would he have to pay first, before he receives a payment

from the insurance company is: Comprehensive.

What is Comprehensive insurance?

Comprehensive insurance can be defined as a insurance coverage that help to cover car expenses when  your car damage as a result of accident or collision.

here, we have,

Brain will need to pay for comprehensive insurance before  he can receive the claim or before the insurance company can pay him for the car damaged claim.

Therefore the correct option is C.

The deductible would he have to pay first, before he receives a payment

from the insurance company is: Comprehensive.

Learn more about Comprehensive insurance here:

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Answer:

collision

Step-by-step explanation:

jus did it.

Which of the following points on the xy-graph is the x-intercept of the equation y= 2x– 8? Hint: plug in first value for x, do order of operations until you get the 2nd value in the coordinate)

Answers

Answer:

Step-by-step explanation:

The x-intercept of the equation y = 2x – 8 will be 4.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given below.

y = 2x– 8

Form the x-intercept, substitute the value of y equals zero. Then we have

0 = 2x– 8

2x = 8

x = 4

The x-intercept of the equation y = 2x – 8 will be 4.

More about the linear equation link is given below.

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The following histogram shows the number of items sold at a grocery store at various prices:

Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 4. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 2.

Which of the following data sets is represented in the histogram?

{0.75, 2.50, 2.51, 5.00, 5.01, 7.50, 7.51, 10.00}
{2.50, 2.50, 7.50, 7.50, 7.50, 7.99, 9.25, 10.00}
{2, 0, 4, 2}
{0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}

Answers

Answer:

The person above is wrong.

The answer is D. {0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}

Step-by-step explanation:

The histogram cannot start from 0.00 if the value of the number is higher than one half, or 0.50.

So, for option D, the number is at 0.50, so it can start.

How to solve the 30° 60° and 90° of a right triangle

Answers

Answer:

Step-by-step explanation:

Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.

hope this helps you for a math problem~

: )

Find the center and the radius of the circle then graph the circle (x+4)2 +(y-1)2=4

Answers

Answer:

Step-by-step explanation:

hello :

us the standard form :  (x+4)² +(y-1)²=4

the center is : (-4 , 1) and the radius 2

Find The measure of angle BEC

Answers

Answer:

148

Step-by-step explanation:

Answer:116

Step-by-step explanation:

The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5

Answers

Answer:

most likely B

Step-by-step explanation:

5. Which choice below could match the following ratio: 4 to 5 Look at
answer choiced first and simplify to see which one leaves you 4 to 5. *
O
A A teacher has 12 girls and 15 boys in her class.
O
B A restaurant sells 3 salads for every 2 steaks.
O
CA garden has 3 pepper plants for every 5 tomato plants.
O
DA car dealership sells 30 cars for every 5 trucks.

Answers

Answer:

A- A teacher has 12 girls and 15 boys in her class.

Step-by-step explanation:

12/3= 4

15/3= 5

This means that it will have a ratio of 4 to 5 because it is the only problem where you are able to divide both with a common number, which is 3.

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