An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 ft per sec. The heights of the ball in feet is given by the equation

S = -2.7t^2+40t+6.5, where t is the number of seconds after the ball was thrown.

After how many seconds is the ball 18 ft above the moon's surface?

Answers

Answer 1

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

[tex]S = -2.7t^2+40t+6.5[/tex]

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

[tex]-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0[/tex]

It is a quadratic equation. Its solution is given by :

[tex]t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s[/tex]

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.


Related Questions

Complete this sentence In a triangle, the angle with the greatest measure is
always opposite the______
O A. shortest side
B. longest side
C. second-longest side
D. angle with the smallest measure

Answers

Answer: B. Longest side.

Step-by-step explanation:

penny reads 10 pages in 1/3 of an hour. What is the unit rate for pages per​ hour? For hours per​ page?

Answers


Penny reads 14 pages in 1/3 hour.
In order for us to know the rate of penny, the number of hours per page, we need to do ratio and proportion.

14 : 1/3 = X : 1
1/3X = 14
X = 42

So there are 42 pages Penny can read in 1 hour.

Answer: 42 pages

Because

Solve for x and explain how I show work

Answers

Answer:

x = 100

Step-by-step explanation:

(x - 20) + x = 180  

2x - 20 = 180

   + 20    +20

2x = 200

x = 200/2

x = 100

How can parentheses be added to the following equation to make it true?

[tex]8-3*2-1+1=0[/tex]

Answers

Step-by-step explanation:

Add parentheses around 1 + 1.

8 - 3 × 2 - (1 + 1) = 0

8 - 6 - 2 = 0

0 = 0

Answer: The answer is 0.

Step-by-step explanation: You'll need to add the parentheses around 1+1.

The solution:

[tex]8-3*2-(1+1)[/tex] 2. [tex]8-6-2[/tex] 3. [tex]0[/tex]

3pq-6hk,-3pq+14kh
Find the sum

Answers

Answer:

ANSWER

3pq−6hk+(−3qp+14kh)

⇒(3pq−3pq)+(14kh−6kh)[∴pq=qp]and

⇒0+8kh[kh=hk]

∴8khAns

I need help! Please

Answers

Answer:

The two trangle's relation by S.AS

Step-by-step explanation:

Idono thes ansar gdau gdddhd hjkdbss hhfc

Malik had 54 yards rushing. James had -12 yards rushing. How many more yards
does Malik have than James?

Answers

54 + 12 = 66, Answer: 66

Douglas has a box with 49 paper clips.
Of the paper clips, 15 are yellow, 9 are
red, 6 are blue, 11 are orange and 8
are green. Douglas randomly picks 2
paper clips from the box.

If the first paper clip is red, what is the probability that the second paper clip is blue?

Answers

Answer:

6/48 is the likely possibility that he will pull out a blue one.

Step-by-step explanation:

The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48.  So the answer is 6/48

What inequality is shown in the graph below?

Answers

Answer:

1/2

Step-by-step explanation:

Solve -0.8(10 - x) = 36

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear equation.

Solving we get as,

-0.8(10-x)=36

=> -8 + 0.8x = 36

=> 0.8x = 36+8

=> 0.8x = 44

=> x = 44÷0.8

=> x = 55

x= 55.

The solution of the expression will be;

⇒ x = 55

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ -0.8 (10 - x) = 36

Now,

We can solve the expression as;

The expression is,

⇒ -0.8 (10 - x) = 36

⇒ - 0.8 × 10 + 0.8x = 36

⇒ - 8 + 0.8x = 36

⇒ 0.8x = 36 + 8

⇒ 0.8x = 44

⇒ x = 44 / 0.8

⇒ x = 55

Thus, The solution of the expression will be;

⇒ x = 55

Learn more about the mathematical expression visit:

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Please help
Side -side -angles
Angles-side-angels
Angle -angle -side
Angle-angle-angel
Side-angel-side
Side-side-side
Hypotenuse-leg
Congruent or not ?

Answers

Answer:

it's congruent

side-side -side

Answer:

not congruent because all the sides a different .

How long is 50% of 60 minutes?

Answers

Answer:

30 minutes

Step-by-step explanation:

60 divided by 2 = 30

lable min

A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?

Answers

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!


The probability that a new fridge has a fault is 0.015
What is the probability that a new fridge does not have a fault?

Answers

Answer:

I will assume you mean 0.015 out of 1.

It is 0.985

Step-by-step explanation:

Answer:

0.985

Step-by-step explanation:

The probability that a new fridge does not have a fault = 1 - 0.015

                                                = 0.985

Find the scale length of 15cm and 3cm.
Please help if you can thank youuu​

Answers

Answer: 5

the scale length of 15cm and 3cm is 15/3 = 5

Step-by-step explanation:

please help me solve this problem. ​

Answers

Answer:

Step-by-step explanation:

There is no solution

Answer: There is no such value of X.

Step-by-step explanation:

If you get this wrong, im sorry but im sure that its the right answer.

A model with 1 shaded part and 3 unshaded parts.
Write the unit fraction depicted in the model as a percent.

One-fourth =
%

Answers

One fourth=25% and for the 3 unshaded parts it would be three fourths=75%

Answer:

he is wrong it is 25 %

Step-by-step explanation:

I just did it

When air is pumped into an automobile
tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?

Answers

Answer:

The pressure P₂ = 30 pounds when volume is 140 cubic inches

Step-by-step explanation:

We are given

Pressure P₁ = 35 pounds

Volume V₁ = 120 cubic inches

Volume V₂ = 140 cubic inches

We need to find Pressure P₂

The formula used will be: [tex]V_1P_1=V_2P_2[/tex]

Putting values and finding P₂

[tex]V_1P_1=V_2P_2\\120\times 35=140\times P_2\\4200=140\times P_2\\P_2=\frac{4200}{140} \\P_2=30 \ pounds[/tex]

So, the pressure P₂ = 30 pounds when volume is 140 cubic inches

Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?
A) Neither the means nor the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
B)The means of Dwayne’s and Alisha’s graphs must be the same but not the standard deviations.
C) The standard deviations of Dwayne’s and Alisha’s graphs must be the same but not the means.
D)Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.

Answers

Answer:Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.

Step-by-step explanation:

The solution is, the function  y=10+×. is plotted below.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

here, we have,

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

It is a straight line because the degree of the variable or its maximum power is one.

Put x = 0

y = 10 + 0 = 10, therefore one point (0,10)

Put y = 0

0 = 10 +x

Another point since x = -10. (-10,0)

As shown in the graph below, a straight line should be drawn through both locations.

Any point on the line that does not satisfy the equation is a nonexistent point.

Hence the function  y=10+×. is plotted below.

Learn more about the function, by the following link.

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Complete question:

Dwayne graphed the equation y=10+×. Which point does the graph not pass through?

find the side length?

Answers

Answer:

4

Step-by-step explanation:

4y+1=5y-3

-1y=-4

y=4

10.6n - 45.92 = 18.8 solve for n​

Answers

Answer:

Step-by-step explanation:

10.6n - 45.92 = 18.8                    Add 45.92 to both sides

10.6n = 18.8 + 45.92                   Combine like terms on the right

10.6n = 64.72                              Divide by 10.6  

n = 64.72 / 10.6

n = 6.11

10 Theo earned £16520 last year and spent 13% of his money on making home improvements.
Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
f
(2)​

Answers

Answer:

2147.60

Step-by-step explanation:

you sailed 33.2 units away and found treasure at -22 units find where the ship started x + -33.2 equals -22
Please.help I am on a timer!​

Answers

Answer:

2 is the asnwer hard to explain have a good TEST!!

Step-by-step explanation:

Solve the equation 3/4x + 3 -2x = -1/4+1/2x+5
If necessary: Combine Terms
Apply Properties: Add, Subtract, Multiply, Divide

Answers

Answer:

x = -1

Step-by-step explanation:

3/4x + 3 -2x = -1/4 + 1/2x + 5

3/4x + 3 -2x = 19/4 + 1/2x

3x + 12 - 8x = 19 + 2x

-5x + 12 = 19 + 2x

-5x - 2x + 12 = 19

-7x = 19 - 12

-7x = 7

x = -1

By solving the algebraic equation  [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.

What is algebraic equation?

Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]

Learn more about algebraic equation here

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The boundry of a park is shaped like a circle

Answers

Answer:

what is the question? a circle is 360 degrees if that is what you're asking.

what’s the question though

An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that contains 4.9lb of zinc

Answers

Step-by-step explanation:

please mark me as the brainliest answer and please follow me

Answer:

the first one is wrong.

Step-by-step explanation:

what the slope of (19,-12) (5, 16)​

Answers

Answer:

The slope is -28/14

12. In New Mexico, the state sales tax rate is 5.125%. If the price of a digital
camera sold in New Mexico is $294.35 including sales tax, what was the list price
of the digital camera? *



Help me lol I don’t wanna fail .

Answers

Answer:

15.08 if u round but it's really 15.079

A Confession to my Friends
(HardCoreGamer808, ItsKennadi)
U guys are the best. Love u.
Stay Strong

Answers

Aww, that's sweet, but why don't you just text them?

Answer: Love is for the weak loll

The formula A = Pe^rt calculates the amount an investment earning a nominal rate of r compounded continuously is worth. Show that the amount of time it takes for the investment to double in value is given by the expression ln2/r.

Answers

Answer:

t = In2/ r

Step-by-step explanation:

Given the formula : A = Pe^rt

For investment to double ;

Final amount (A) = 2 * initial investment (p)

A = 2p

Hence,

2p = pe^rt

2 = e^rt

Take the In of both sides

In2 = rt

Divide both sides by r

In2 /r = rt /r

In2/ r = t

t = In2/ r ; Hence, the proof

The formula for obtaining the time taken when the amount is double the principal is ln2/r.

Given that;

A = Pe^rt

A = amount

P = principal

r = rate

t = time

Now we are told that;

A = 2P

Hence;

2P = Pe^rt

2 = e^rt

ln 2 = rt

t = ln2/r (QED)

Learn more: https://brainly.com/question/9352088

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