How many joules of gravitational potential energy are stored in a system where a feather with a mass of 0.008 kilograms is positioned 22 meters above the ground?

Answer:

Original Price was $27.00

Step-by-step explanation:

27*.30=8.10

Answer:

D is the answer

Step-by-step explanation:

-15 Is the same as 15 its just negative but they have the same distance.

Answer:

Answer:

7 and half

Explanation:

cuz if the two lemin fill two then one will fill 50ml ,

then,7×50=350 the remaining is 25 ml which is half of 50 ml so this is half of one lemon.so the answer is 7 and half

Answer:

7 and a half

Step-by-step explanation:

2 lemons=100 ml

?=375 ml

Cross multiplication to get ? which will bring

(375×2)÷ 100 giving 7 ½

Answer:

Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

Step-by-step explanation:

Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:

100 + 140 = 240

140 = 135 + 19

100 = X

(100 x (135 + 19)) / 140 = X

100 x 154/140 = X

15,400 / 140 = X

110 = X

So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

Answer: 104

Step-by-step explanation:

It is a full circle

Circle = 360

We have 126 and 26 so

360 - (126+26) = 208

Since the a's are opposite thet means they are equal ( I forgot the law name)

208 divided by 2

104

Answer:

I think it is ADE

Step-by-step explanation:

Answer:

The slope of the line is -1/2, and the entire equation should be y = -1/2x + 3/2

Step-by-step explanation:

Choose two points along the line, for this I chose (3,0) and (-1,2). Finding the slope from there should be (y2 - y1)/(x2-x1), or -1/2. To get the entire line use point slope form of y - y1 = slope (x -x1) with one of the points you already found.

Hopefully this helps- let me know if you have any questions!

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

7)

now decide which parts we know and what we want to slove for and pick the function that has those in it

we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180

180 = 75 + 90 + X

15° = X  

where x is the angle at that sharp point on the triangle

I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA  since it's got all of those in it.  Opp = x for this triangle

Tan(15) =  Opp / 15

15* Tan(15) = Opp

4.0192 = Opp

so that's x  

x = 4.0162 units , what ever they are

8)

the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic  CAH  since it's got those pieces in it

Cos(43)= 31 / Hyp

some algebra just to switch Hyp out of the denominator

Hyp = 31 / Cos(43)

some tapping on my calculator

Hyp = 41.714

That's x for the second triangle

x = 41.71 units , what ever they are

:)

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

Answer:

the answer is b which is 5 ten dollar bill

Answer:

no

Step-by-step explanation:

using a mile to inch converter it is abt 62k in

Answer:

seven billion three hundred million (7.5B)

(7,500,000,000)

Step-by-step explanation:

Answer:

7,300,000,000

Step-by-step explanation:

7,800,000,000-500,000,000

The answer will be option B. The net pay for the jacob will be equal to $6,188.

The amount paid by any company to the employees without any deductions like taxes or charges is called as the gross pay.

It is given that:-

Gross pay for the year was $8000

The federal tax rate he’ll need to pay is 10%.

Jacob will need to pay 5% and the FICA rate is 7.65%

So the total deductions from the gross pay will be calculated as:-

Deductions = 8000 X 10% +8000 x 5% +8000 x 7.5%

Deductions = 800+400+612=$1812

The net pay will be = 8000-1812 =$ 6188

Hence the net pay for the jacob will be equal to $6,188.

To know more about Gross pay follow

https://brainly.com/question/13793671

#SPJ2

Answer:

A, B and D are the answers.

Answer:

A, B, D.

Step-by-step explanation:

Answer:

a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge

b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1

c. False some bounded sequences are divergent

An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]

[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent

Step-by-step explanation:

Answer:

The total number of pairs of jeans in her wardrobe is 15.

Step-by-step explanation:

We solve this question using proportions.

6 pairs of jeans represents 40% of the total.

The total is x. Using proportions:

[tex]\frac{6}{x} = \frac{40}{100}[/tex]

[tex]\frac{6}{x} = 0.4[/tex]

[tex]0.4x = 6[/tex]

[tex]x = \frac{6}{0.4}[/tex]

[tex]x = 15[/tex]

The total number of pairs of jeans in her wardrobe is 15.

Answer: t - 0.1t and 0.9t

Step-by-step explanation:

Let the original acreage be represented by t.

Since there was a sale which ended up reducing the acreage by 10%, the expression for the new acreage will be:

= t - (10% × t)

= t - (0.1 × t)

= t - 0.1t

= 0.9t

Therefore, the equivalent expressions will be "t - 0.1t" and 0.9t

Answer:

1) mean = 21, standard deviation σ = 21.9317

2) the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591

Step-by-step explanation:

 Given the data in the question;

1. According to Penelope's beliefs, what are the mean rate of return and the standard deviation of return of her portfolio?

Mean μ = Return = ( 60% × 15) + ( 40% × 30 ) = 9 + 12 = 21

mean = 21

standard deviation σ = √( (0.6² × 25²) + ( 0.4² × 40² ) )

standard deviation σ = √( (0.36 × 625) + ( 0.16 × 1600 ) )

standard deviation σ = √( 225 + 256 )

standard deviation σ = √481

standard deviation σ = 21.9317

2)  What is the probability that Penelope's portfolio will earn at least 12% in the next 12 months

so we are to find P( X > 12 )

converting into standard normal variable;

⇒ P( Z  > X-μ  / σ  )

= P( Z  > ( 12-21  / 21.9317  ) )

= P( Z  > ( -9 / 21.9317  ) )

= P( Z  > -0.41 )  

FROM z-score table; P( Z  > -0.41 ) is 0.3409

P( X > 12 ) = 1 - 0.3409

P( X > 12 ) = 0.6591

Therefore,  the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591

Answer:

(8,-1)

Step-by-step explanation:

Given :  

To Find: solution of given system of equations.

Solution:

Equation a :  

Equation b :  

Substitute the value of y from equation b in equation a

y from equation b : y = 7-x

Now substitute value of y in equation a

Thus equation a becomes:

⇒ x= -1 and x = 8

Now substitute values of x  in equation b to obtains values of y

⇒

for x = -1

⇒

⇒

⇒

Thus (x,y)=(-1,8)

For x =8

⇒

⇒

⇒

Thus (x,y)=(8,-1)

Hence Option A is the correct solution .

Answer:

48.5 m/s

Step-by-step explanation:

291/6 = 48.5

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

Answer:

5 1/15

Step-by-step explanation:

3 4/5 + 1 4/15 = ?

convert 3 4/5 to a common denominator of 15:

3 12/15 + 1 4/15 = 4 16/15

simplified = 5 1/15

Answer:

N, O, S, Z, which will be B

Step-by-step explanation:

Answer:

on which one

Step-by-step explanation:

Answer:

5 and 16

Step-by-step explanation:

Answer:

{16-10}{4+2}=36 For me, I use parenthesis () instead: (16-10)(4+2)=36

Step-by-step explanation:

With parenthesis, you don't have to put the multiply sign between the 2: (16-10) x (4+2) --> (16-10)(4+2).