A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T

Answers

Answer 1

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet


Related Questions

y = 2000-(1.05)
What is your initial value?
Does this function represent exponential
growth or exponential decay?
What is the rate of growth or
rate of decay?

Answers

Answer:

What is your initial value? 2000

Does this function represent exponential growth or exponential decay? Exponential growth

What is the rate of growth or rate of decay? 5%

From - 12 surface sea level, a submarine descends 20 feet per minute. Where is the submarine in relation to sea level 7 minutes after it starts descending?

Answers

Answer:

-152 feet in relation to sea level.

Step-by-step explanation:

If it descends 20 feet per minute, you just multiply the distance by the minutes. So 20x7 and you will get 140. You can't forget that it's already -12 below sea level, so it's 12 feet deeper. It's -152 feet in relation to sea level.

Jose had a rectangular piece of paper that

was 80 mm long and 70 mm wide. He cut

the paper in half. What is the area of each

half of the paper in square millimeters?


A. 5600 sq mm

B. 2800 sq mm

C. 140 sq mm

D. Not here

Answers

Answer:

B. 2800 sq mm

Step-by-step explanation:

Given the following data;

Length = 80 mm

Width = 70 mm

Area of rectangle is given by the formula;

Area of rectangle = length * width

Substituting into the formula, we have;

Area of rectangle = 80 * 70

Area of rectangle = 5600 mm²

Since the paper (area of rectangle) was halved, we would divide by 2;

Area of each half = 5600/2

Area of each half = 2800 sq mm.

Evaluate the expression when m=12

Answers

Answer:

Where's the expression?

Step-by-step explanation:

A $500 investment is in creasing by 15% each year. What is the multiplier A 5.15 B 1.15 C 0.15 D 0.115

Answers

Answer:

C, 0.15

0.15 is 15/100, which is 15 percent.

multiply 500 times 0.15 gives you 15 percent of 500.

which equation can be used to determine the value of x?​

Answers

Answer:

choice 1) 2x + 40 = 180

Step-by-step explanation:

(x + 10) + (x + 30) = 180

2x+ 40 = 180

Answer:

X+30+x+10=180

combine like terms

2x+40=180

subtract 40 from both sides

2x=140

divide by 2

x=70

but for you it is 2x+40=180

y= - 2x + 4
2x + y = 4

Answers

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -2x + 4

2x + y = 4

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  2x + (-2x + 4) = 4Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right  

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality

Algebra I

Terms/Coefficients

Coordinates (x, y)

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -2x + 4

2x + y = 4

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  2x + (-2x + 4) = 4

Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

Answer:

80=X

95=X

55=X

30=X

you simply add the numbers you have together then subtract that from 180

please please help !!

Answers

Step-by-step explanation:

As the problem said, you need to submit a picture of your own work, but I can help nevertheless.

Blank 1:

[tex]\tan 70=\frac{x}{300}\\x=300\tan70 \approx \boxed{824.24}[/tex]

Blank 2:

[tex]\tan 53=\frac{x}{300}\\x=300\tan53 \approx \boxed{398.11}[/tex]

Blank 3:

[tex]300\tan(70)-300\tan(53)\approx\boxed{426.13}[/tex]

Find the measurement of angle 3 when angle 2 equals 15x and angle 8 equals 5x​

Answers

Answer:

change the date of 4images and the giant is the quiz on my essay

Step-by-step explanation:

you wanna play 3rd party or something else do it was 4th day

A telephone company offers two different types of billing. The first option is to pay an initial $10 fee with an additional $0.09 per MB of data used. The second option is to pay an initial $16 fee plus an additional $0.07 per MB of data used.

Part A: Write a system of equations that will model the situation.

Part B: How many MB of data would you have to use in order for both plans to cost the same amount? Explain how you determined your answer.

Answers

Answer:

whattttt?

Step-by-step explanation:

Answer:

for the second one It would take 300 MB

Step-by-step explanation:

A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133

Answers

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Lucas wants to have at least $4,000 in his account. He has $2,500 to deposit into an account that earns simple interest at a rate of 6%. What is the fewest number of years it will take Lucas to reach his goal?

Answers

Answer:

6.25 years

Step-by-step explanation:

Simple interest = principal x time x interest rate

simple interest = $4,000 - $2,500 = $1,500

1500 = $4,000 x 0.06 x n

1500 = 240n

divide both sides by 240

n = 6.25 years

Solve for x if 5 - x = 6

A) 1
B) No solution
C) -1
D) 5

Answers

Answer:

C

Step-by-step explanation:

5 - 1 = 4

5 - 5 = 0

5 - -1 = 6

I hope this helps but the answer most likely is C

Answer:

I think it's letter C ..........

Answers anyone please?

Answers

I think that the answers are 4, 4 and 25 respectively

14. Simplify 3!
16. simplify 8c5

Answers

Answer: 8

*

(

c

*

c

*

c

)

Step-by-step explanation:

Consider the expression 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2 select the equivalent expression in standerd form

Answers

Answer:

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

Step-by-step explanation:

Given

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Required

Simplify

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Open both brackets

[tex]9a^3b^6*3a^3b^2+9a^3b^6*7a^2b^2-5a^4b^4*5a^4b^4[/tex]

This gives

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

A train travels 423 miles every 9 hours. What is the unit rate of the train?

Answers

Answer:

47 mph.

Step-by-step explanation:

The unit rate would be in mph.

Divide 423 miles with 9 hours:

423/9 = 47

47 mph, or miles per hour, is your answer.

~

Given that: Train travels 432 miles in every 4 hours

To Find: Unit rate of the train

⠀⠀⠀⠀⠀⠀__________________

Solution:-

we can find the unit rate of train by divide the distance and time.

⠀⠀

[tex]:\implies\sf{speed(v)} \: = \dfrac{distance(s)}{time(t)} [/tex]

[tex]:\implies\sf Speed\; (v) = \dfrac{423}{9}[/tex]

[tex]:\implies\sf Speed \: (v) = 47 \;mph\;(miles\;per\;hour)[/tex]

⠀⠀⠀⠀

[tex]\therefore \underline {\sf{Hence \: , \: \pmb{47mph} \: is \: the \: required \: answer}}[/tex]

32 oz = _______ lb

Please answer the question

Answers

Answer:

2 lb

Step-by-step explanation:

1lb = 16 pounds.

Find the number that make the equivalant ratio 2:7

6:__

Answers

Answer:

6:21

Step-by-step explanation:

2:7        6/2 = 3  

6:21       7*3 = 21

I need help with the first question pls

Answers

Answer:

67.5 feet

Step-by-step explanation:

If 1 inch = 9 feet, and the model is 7.5 inches,

you just need to do 7.5 • 9 = 67.5 feet.

OR

7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5

63 + 4.5 = 67.5

*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet

help with this question please

Answers

x is less than 5.
Because the circle is not closed, there’s no equal to.
Because it’s going to the left, it’s less.

Answer:

A; x< 5

Step-by-step explanation:

A simple way to remember the difference between greater than or less than is picturing the symbol as an alligator, the mouth of the alligator, the open end, eats the bigger number. The line under the greater than/ less than symbol means "or equal to". An open circle on a number line means that it's NOT "or equal to", so the answer isn't B or D. On the number line, it shows what x could equal. The arrow falls on 0, I'll use 0 as an example. Is 0 less than 5? Yes. If x could equal 0, that means that x is less than 5.

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

5. 104
because 40+37= 77 and 180-77=104

6. 67
because 41+72=113 and 180-113=67

7. 15
add them together and subtract by 180

8. 44
add together and subtract 180

6= x−15
What does 'X' equal?

Answers

Answer:

x = 21

Step-by-step explanation:

6 = x - 15

x = 6 + 15

x = 21

Hope that helps!

Answer:

x=21

Step-by-step explanation:

move all the terms that don't contain x to the right side and solve.

Help please it’s due soon

Answers

Answer:

y = 12,58 units

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

Brain Power! - Minds On-

(-3 + 4) x 66 + -19 x 8 - 2

Answers

Answer:

-88

Step-by-step explanation:

(-3 + 4) x 66 + -19 x 8 - 2

According to PEMDAS (or GEMDAS), you start with the parenthesis. So you do the equation in the parenthesis.

-3+4= 1

Now you replace it with your answer.

1 x 66 + -19 x 8 - 2

You next do multiplication.

1*66=66

66+ -19 x 8 -2

Multiplication again

-19*8=-152

66 + -152 - 2

Now there is only addition and subtraction left so you solve left to right.

66 + -152= -86

-86-2=-88

The answer is -88

HELP PLZ AGAIN. Same material. It is still timed. Will give 50 pts and brainly. This is vital to my math grade. Time is on the essence and my math grade is at stake if I do not pass this. I need Slope Intercept form for the equation. HELP HELP HELP PLZ.

Answers

Answer:

y = 4x - 9

Step-by-step explanation:

y = 4x + 2

the the slope m is 4

the new line which paraller to the first one will have a slope 4 too

M = 4

then, the new slope-intercept form which pass through (x1,y1), in this case (5,-4) is

y - y1 = M(x - x1)

y - (-4) = 4(x - 5)

y + 4 = 4x - 5

y = 4x - 5 - 4

y = 4x - 9

Answer:

Step-by-step explanation:

FYI only

Slopes of parallel lines are the same and y-intercepts are different

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y - [tex]y_{1}[/tex] = 4( x - [tex]x_{1}[/tex] )

Write a rule for this transformation (geometry)

Answers

Reflection: (X, Y) —> (-Y,-X)

PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.

Answers

Answer:

a + (6 -2)

I'm not completely sure, but I hope this helps.

Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have

Answers

Answer: $60

Step-by-step explanation:

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