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 height s 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. Complete parts a and b.

a. After how many seconds is the ball 14 ft above the moon's surface?

After ____ seconds the ball will be 14 ft above the moon's surface.

(Round to the nearest hundredth as needed. Use a comma to separate answers as needed.)

An Astronaut On The Moon Throws A Baseball Upward. The Astronaut Is 6 Ft 6 In Tall, And The Initial Velocity

Answers

Answer 1

Answer: 0.19s and 14.6s

Step-by-step explanation:

The distance of the ball at any time is given by the function s(t). For now, you can ignore all the details about the height of the man and the intial velocity of the ball. We only care about what time 't' will the ball be 14 feet off the ground. In math terms, they are asking when:

[tex]s(t)=14[/tex]

Where:

[tex]s(t)=-2.7t^2+40t+6.5=14[/tex]

Subtract 14 on both sides:

[tex]s(t)=-2.7t^2+40t-7.5=0[/tex]

Use the quadratic formula to solve for the variable 't'. This will give the possible time values where the ball will be 14 feet off the ground:

[tex]t=-b+\sqrt{b^2-4ac} /2a[/tex]

[tex]t=-b-\sqrt{b^2-4ac} /2a[/tex]

[tex]a=-2.7[/tex]

[tex]b=40[/tex]

[tex]c=-7.5[/tex]

Therefore:

[tex]t=(-40)+\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=0.19s[/tex]

[tex]t=-40-\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=14.6s[/tex]

This is saying the ball almost immediately hits 14 feet given the intial velocity, then it reaches its peak and falls back down to 14 feet again, where it will eventually hit the ground again


Related Questions

49
Jerrelle spent $0.60 on five stickers. Each sticker costs the same amount. How much
did each sticker cost?
A
$0.06
B
$0.12
с
$1.20
D $5

Answers

Answer:

A. $0.60

Step-by-step explanation:

there are 5 strikers that cost $0.60 each, so the answer is letter A.

B. $0.12 because you divide 0.60 by 5 because it asks what each of them cost!

Evaluate
A)9
B)-9
c) 729
d) -729

Answers

The correct option is c) 729

Explanation :-

[tex] \frac{1}{ {3}^{ - 2} {x }^{ - 4} {y}^{2} } [/tex]

[tex] = \frac{ {3}^{2} {x}^{4} }{ {y}^{2} } [/tex]

Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.

[tex] ⇢ \frac{ {3}^{2} {(3)}^{4}}{ {( - 1)}^{2} } [/tex]

[tex] = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 3}{( -1) \times ( - 1)} [/tex]

[tex] = \frac{729}{1} [/tex]

[tex] = \underline { \boxed{ 729}}[/tex]

multiplication problem

Answers

Answer:

No, that is incorrect.

When doing a multiplication problem, you cannot simply take out a number from a number and expect the same result. This is under some circumstances. Let's solve the equations to see the results.

[tex]21 * 34 = 714\\20 * 35 = 700[/tex]

As shown in the expressions, the results differ, proving our theory from earlier.

__________________________________________________________

Questions?

Ask me in the comments box, please.

Find the interest rate for a principal of $9442 and charged $30233 in interest for 18 years.

Answers

3.2019 is the answer to your question

Teresa is loading her car with boxes that each weigh 4 3/4 pounds. If Teresa loads 9 of theses boxes find the combined weight of each box

Answers

Given :Weight of each box = 4 3/4 pounds = 4.75 pounds

To Find :Weight of 9 boxes

Solving :Weight of 9 boxes = Weight of each box x 9 [1 x 9 = 9]W = 4.75 x 9 = 36 + 6.75 = 42.75 pounds

Answer :42.75 pounds

Weight of one box=4 3/4lbs=19/4lbsTotal boxes=9

Total weight:-

9(19/4)171/442-3/4lbs

PLEASE HELP 50 POINTS OLUS BRAINLY

Answers

Answer: 4n-7

Step-by-step explanation:

Please help!!! I'm struggling ​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

I hope it helped you

Step-by-step explanation:

Pls refer the given attachment

Which of the following is equivalent to (x + 1)^2 ?

x2 + 2x + 1
x2 + 1x + 1
x2 + 1
x2 + 1x

Answers

Answer:

x^2 +2x +1

Step-by-step explanation:

(x+1)^2

=(x+1)(x+1)

= x×x+x×1+1×x+1×1

=x^2+x+x+1

=x^2+2x+1

Write an equation of a parabola that opens upward, has a vertex at the origin, and a focus at (0, 2).

Answers

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

pls answer i need to answer it in 10-15 mins plsss

Answers

The sum of two odd numbers is an even number

Answer:

The sum of two even numbers is an even number

Step-by-step explanation:

Hey there!

As you can see in the table, all the even numbers when added up are equal to an even number

This make the statement "The sum of two even numbers is an even number" true

Plot the image of triangle AABC under a reflection across the y-axis.

Answers

Answer:

(6,4) (4,4) (2,3) or (2,2)

Step-by-step explanation:

hope it helps


PLEASE HELP!!!

Write an expression using fractions to show how to determine the amount that each person will pay?Then calculate each person's contributions showing all steps in long division.
my chart:
jazzy: 35.7$
emily:48.9$
sarah:48.9$
layla:19.3$
total amount: 327$

Answers

Four people went shopping at a local grocery store, and bought a random amount of items. What is the total?Jane: 4.26$John: 9.76$Zoey: 6.33$Hailey: 14.00$

________________________________________________________

Solve

To solve this problem, we must add each price together for the total.

[tex]4.26 + 9.76 + 6.33 + 14 = 34.35\[/tex]

To calculate our total store profits while finding the four contributions, we could divide by percent. For this case, 6%, also equal to 0.06

[tex]\frac{(estimate)34}{6\%(0.06)} = 573(estimate)[/tex]

Now that we have 573 as our estimate, subtract 573 by 34

[tex]573 - 34 = 539[/tex]

Therefore, the store's total profits were 573 dollars, and the four contributions from Jane, John, Zoey, and Hailey contributed to 34 dollars of it.

________________________________________________________

SolvedWe made 573$ total! That is a lot.Note that using percent and division was actually to calculate the store's total profits followed by the four contributions listed earlier. If any of this confuses you, please feel free to ask a question.

________________________________________________________

Questions?

Ask in the comments box.

4(x+5)=6(x+4) what is x

Answers

Answer:

x = -2

Step-by-step explanation:

1) Distribute

4(x+5)=6(x+4)

4x+20=6(x+4)

2) Distribute

4x+20=6(x+4)

4x+20=6x+24

3) Subtract 20 from both sides

4x+20=6x+24

4x+20-20=6x+24-20

4) Simplify

- Subtract the numbers

4x+20-20=6x+24-20

4x=6x+24-20

- Subtract the numbers

4x = 6x + 24 - 20

4x = 6x + 4

5) Subtract 6x from both sides

4x = 6x + 4

4x - 6x = 6x + 4 - 6x

6) Simplify

- Combine like terms

4x-6x = 6x + 4 - 6x

-2x = 6x + 4 - 6x

- Combine like terms

-2x = 6x + 4 - 6x

-2x = 4

7) Divide both sides by the same factor

-2x = 4

-2x/-2 = 4/-2

8) Simplify

- Cancel terms that are in both the numerator and denominator

-2x/-2 = 4/-2

x = 4/-2

- Divide the numbers

x = 4/-2

x = -2

(x^2 - 14x + 48) divided (x-6)

Answers

Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8

Step-by-step explanation:

i hope this is the answer your looking for

Frank bought 20 pounds of sugar for $10. How many pounds of sugar did he get per dollar?

Answers

Answer:

$2

Step-by-step explanation:

20lb divided by $10.

20 divided by 10 is 2

pls i need the answer rightnow pls pls pls im begging you pls​​

Answers

Answer:

20 -- 300 words

25 -- 600 words

30 -- 900 words

35 -- 1200 words

40 -- 1500 words

50 -- 2100 words

3) 600 words

4) 2100 words

5)No because the formula only accounds for ages between 20 and 50 months.

Brainliest would be appreciated

Step-by-step explanation:


A local farmer decides to sell his produce at the farmer's market. Every Sunday he uses his own fuel to drive
to the market which is 300km away. This costs him R650.00 per week. He sells 50 boxes of fruit for R250.00
and 100 boxes of fruit for R350.00.

What is the dependent variable in this scenario?

Answers

Answer:

The money

Step-by-step explanation:

The drive to the farmers market is a certain distance away, which costs him a specific amount of money. If the distance were to change, then so would the price it took to get there per week. Additionally, as the amount of boxes increases, so does the price.

A dependent variable is a variable that directly changes as the independent variable(s) change. In this scenario, the money, or cost is what's changing based on other factors.

hope this helps :)

Katie baked a cake. Her brother ate 1/8 of the cake, her father ate 1/4 of the cake, and her mother ate 1/8 of the cake. How much is left?

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps and have a nice day!

(2ax -6by + 4cz )+ (4by-14ax)+(9cz-4ax-6by) add the following expression pls i will mark you a brainest​

Answers

Answer:

=2ax -6by +4cz + 4by -14ax +9cz -4ax -6by

=2ax -14ax -4ax -6by +4by -6by +4cz +9cz

= -16ax -8by +13cz

Help me please !!!!!!

Answers

Answer; hi sisters daddy chill

Step-by-step explanation:

A recent survey found that 5% of the population of the United States is unemployed. If Charlotte, North Carolina, has 30,850 unemployed, what is the population of Charlotte?
The population of Charlotte, North Carolina is approximately_____?

Answers

Answer:

617000

Step-by-step explanation:

Division reverses multiplication.

If the total population of Charlotte which we'll call 'x' follows

x * 0.05 = 30850, then

30850 / 0.05 = x

x = 617000

1. What is the area of the triangle? (Area of triangle = 1/2*b*h)
2. What is the area of the semicircle? Round your answer to the nearest tenth (Area of circle = 3.14 *r^2)

Answers

1. The area of the triangle = 40 m².

2. The area of the semicircle = 64.3 m²

What is the Area of a Triangle?

Area = 1/2(base × height)

What is the Area of a Semicircle?

Area = 1/2(πr²)

1. Area of the Triangle = 1/2(base × height) = 1/2(10 × 8)

Area of the triangle = 40 m².

2. Use Pythagorean Theorem to find the hypotenuse of the triangle which is the diameter of the semicircle.

Hypotenuse = √(10² + 8²) = 12.8 m

Radius of the semicircle = 12.8/2 = 6.4 m

Area of the semicircle = 1/2(3.14 × 6.4²) = 64.3 m²

Learn more about the area of triangle and semicircle on:

https://brainly.com/question/12229862

Find the measure of each angle.
x - 7
X
x + 10

Answers

Answer:

x - 7: 52

x: 59

x + 10: 69

Step-by-step explanation:

Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:

x - 7 + x + x + 10 = 180

Combine like terms:

3x + 3 = 180

Subtract 3 on both sides:

3x = 177

Divide by 3 on both sides:

x = 59

Now plug in 59 for each angle.

The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.

Answer:

52°, 59°, and 69°

Step-by-step explanation:

Each of these angles add up to make a straight line, or = 180°

(x - 7) + x + (x + 10) = 180

3x + 3 = 180

3x = 177

x = 59

Angle A = 52°

Angle B = 59°

Angle C = 69°

52 + 59 + 69 = 180!

How many solutions are there to the equation below?
x2 = 16
O A. 2
B. 16
C. 1
O D.O
E. 4

Answers

Answer:

A.2

Step-by-step explanation:

x² = 16

take the square root of both sides

x = ±4

there are 2 solutions to the equations, those 2 solutions being 4 and -4

just to double check

4² = 4 × 4 = 16

-4² = -4 × -4 = 16

1/4*3/4=what is the answer​

Answers

Answer:

3 over 8

3

8

=0.375

Step-by-step explanation:

Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 ​ =3(cos 15 14π ​ +isin 15 14π ​ ) and z_2=3\sqrt{3}\big(\cos \frac{11\pi}{15} +i\sin \frac{11\pi}{15}\big)z 2 ​ =3 3 ​ (cos 15 11π ​ +isin 15 11π ​ ), express the result of z_1z_2z 1 ​ z 2 ​ in rectangular form with fully simplified fractions and radicals.

Answers

The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5.

How to determine the product of two complex numbers

Let be two numbers of the form z = a + i · b, where i = √-1, the product of two of these numbers in rectangular form is described by the following formula:

z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c)   (1)

If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:

z₁ · z₂ = 7.794 - i · 13.5

The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5. [tex]\blacksquare[/tex]

Remark

The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:

Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.

To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853

na conta de adição (soma) representa a seguir

Answers

Step-by-step explanation:

I only understand English i am sorry

I WILL MARK BRAINLIEST
Is an antacid polar or non-polar?

Answers

Answer:

Antacid tablets react with water but not oil so its polar

Help Me on this!!

[tex] \: \: \: [/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution~

Standard equation of a circle is represented as :

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

h = x - coordinate of center

k = y - coordinate of center

radius = diameter/2 = [tex]4\sqrt{3}[/tex]

Now, let's plug in the values to find the required equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]

Answer:

The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is + - 16x + 20y + 116 = 0

[tex]\quad\rule{300pt}{1pt}\quad [/tex]

Solution:

The standard equation of Circle is given by :

[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]

This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation

Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.

[tex] \longrightarrow[/tex]h = 8

[tex] \longrightarrow[/tex] k = - 10

[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]

[tex] \longrightarrow[/tex]‎ r = [tex] \sf 4\sqrt{3}[/tex]

[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]

On putting the values in the formula :

[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]

[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]

[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]

[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]

[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]

[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the required equation of Circle is + - 10x + 20y + 116 = 0

Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en útiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto ¿con cuanto pago?

Answers

Answer:

500

Step-by-step explanation:

330+150=480

480-10=470

470+30=500

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