Where does the pendulum have the most potential energy

Answer:

x = -1

Step-by-step explanation:

30 = 2.5(10)(-2x)  - you multiply by each

30 = 25 - 5x        - then pass 25 to the other side and subract

5x = - 5x               - then divide 5 / -5

x = -1                     - and you have the answer

Answer:

x= -1

Step-by-step explanation:

distribute 2.5 through the parenthese

30=25-5x

move variable to the left hand side an change its sign

5x+30 =25

move constant to the right hand side and change the sign

5x=25 -30

calculate the difference

5x= -5

divide both sides of the equation by 5

x= -1

Hope this helps!!! I would really appreciate a brainliest???

Answer:

1/8

Step-by-step explanation:

1/4 ÷ 2

~Turn 2 into a fraction

1/4 ÷ 2/1

~Copy dot flip

1/4 * 1/2

~Multiply

1/8

Best of Luck!

Answer:

1/8

Step-by-step explanation:

1/4 also = 2/8

2/8 divided by 2 = 1/8

Answer:

x = 10

I used the Interior Angles of a Triangle Rule --The sum of all 3 interior angles in a triangle is always 180°.

(3x + 28) + (5x - 18) + 90° = 180°

Now i can get rid of the parentheses and combine like terms.

3x + 5x + 28 - 18 + 90 = 180

8x + 10 + 90 = 180

8x + 100 = 180

Then i subtract 100 from both sides to isolate x.

8x + 100 - 100 = 180 - 100

8x = 80

Then, i divide both sides by 8 to find x.

8x ÷ 8 = 80 ÷ 8

x = 10

Answer:  C = -14

Step-by-step explanation: 3 - 17 = -14

Answer:

GCF = 6x

Step-by-step explanation:

24x = 2 * 2 * 2 * 3 *x

18xy = 2 * 3 * 3 * x * y

GCF = 2 * 3 *x = 6x

Answer:

1 and 1/2 cups

Step-by-step explanation:

4 oranges = 1 cup

6 oranges / 4 oranges in a cup = 1 1/2 cups

If 4 oranges make 1 cup of juice, then that means 1 orange makes 1/4 cup of juice.

So we know that each orange makes 1/4 cup of juice. We need to find how much juice 6 oranges will make. To do that, multiply 1/4 by 6.

1/4 times 6 equals 6/4 or 1 and 1/2.

6 oranges will make 1 and 1/2 cups of juice.

Answer:

48 Games

Step-by-step explanation:

8/14 = 0.57142857142

84 x 0.57142857142 = 48 games

Hope that helps have a lovely night!

Answer:

62.

Step-by-step explanation:

A mode is a number that appears most frequently on a set of data. As you can see, there is a double of 62 while the rest is not repeated, so 62 is the mode.

Answer:

177100

Step-by-step explanation:

I just used the combinations formula.

c(n,r) = (n over r) =  n over (r(n-r)

Answer:

140 hats is the answer i guess

Answer:

4w^2+9w+10

Step-by-step explanation:

(3w^2+7w+10+w^2+2W

Combine like terms

4w^2+7w+10+2w

Combine like terms

Answer:

4w^2+9w+10

Step-by-step explanation:

Answer:

p=(800)(3/5)^t

Step-by-step explanation:

Answer: 800 - (3/5xt)

Step-by-step explanation:

800 is the base value and you have to multiply 3/5 by t

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

SOLVING STEPS...

CALCULATE 6÷5×4

IT'S 4.8

ADD 1 WITH 4.8

CALCULATE THE SUM...

WE WILL GET THE ANSWER...

SO THE ANSWER IS

[tex]5.8[/tex]

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

Answer:

The amount of each person's profit is:

Mack

= $1160

Jason

= $725

Yuri

= $1015

Step-by-step explanation:

Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment Mack receives 2/5 of the profit, Jason Receives 1/4 of the profit, and Yuri receives the rest of the profitWhat is the amount of each person's profit?

Step 1

We calculate how much the profit is.

Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment

The profit = 1/5 of Investment

Hence = 1/5 × $14500

Profit = $2900

Step 2

We calculate the amount each of them receives.

Mack receives 2/5 of the profit,

= 2/5 × $2900

= $ 1160

Jason Receives 1/4 of the profit

= 1/4 × $2900

= $725

Yuri receives the rest of the profit

This is calculated as:

$2900 -($1160 + $725)

$2900 - $1885

= $1015

The amount of each person's profit is:

Mack

= $1160

Jason

= $725

Yuri

= $1015

Answer:

a

Step-by-step explanation:

7*2=14

5*2= 10

it would be (a) because 14 is greater than 12

Answer:

Step-by-step explanation:

⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️

Answer:

[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:

Step-by-step explanation:

Given the function

[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex]

Use the rational root theorem.

[tex]a_0=22,\:\quad a_n=1[/tex]

[tex]\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:11,\:22,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1[/tex]

[tex]\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:11,\:22}{1}[/tex]

[tex]-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2[/tex]

[tex]=\left(x+2\right)\frac{x^3-4x^2-x+22}{x+2}[/tex]

as

[tex]\frac{x^3-4x^2-x+22}{x+2}=x^2-6x+11[/tex]        ∵ [tex]x^3-4x^2-x+22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]

so the expression becomes

[tex]x^3\:-\:4x^2\:-\:x\:+\:22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]

Therefore,

[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:

Answer:

h(1)= -90 h(n)=h(n-1) ⋅ 6

Step-by-step explanation:

Im smart :D

Answer:

larger than 7 ounces

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

lol

Answer:Any equation that when solved will be y=(number)

Step-by-step explanation:

Well you didn't add any "equations below" so I can't help too much bite you need to solve the equations they listed and the result of the equation must be y=(number), there cannot be any other variable in the equation when simplified if that makes sense. Sorry i can't help more.

Answer:

D

Step-by-step explanation:

D because K to M is the shortest line in the diagram. Please mark brainllest if you want you dont have to.

Answer:

a. What is the probability that Carl arrives first?

Probability that Carl arrives first is ¹/₃ = 33.33% since their arrival times is uniformly distributed. The same probability applies to Bob and Alice.

b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?

Assuming that Carl arrived on time, 1:10 PM, we must determine the probability that Alice or Bob arrive between 1:20 and 1:30 (half the remaining time)

P = [3 · (¹/₂ - ¹/₃)] · [3 · (¹/₂ - ¹/₃)] = (3 · ¹/₆) · (3 · ¹/₆) = ¹/₂ · ¹/₂ = ¹/₄ = 25% chance that either Alice or Bob arrive more than 10 minutes later

c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?

P = 1 - 25% = 75%

d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?

I divided the 20 minutes by 5 to get ¹/₄:

P (|S - T| ≤ ¹/₄) = {[(x + ¹/₄)²] / 2} + (1 / 2x) + {[(⁵/₄ - x)²] / 2} = 0.09375 + 0.25 + 0.09375 = 0.4375 = 43.75%

Answer:

35.75

Step-by-step explanation:

Hope this helps. :)

Answer: $35.75

Step-by-step explanation:

2 adults $29.50 one child $6.95 In total they will be paying $35.75

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

→ Substitute in the values

200 = 0.5 × 5x × 5x

→ Simplify

200 = 12.5x²

→ Divide both sides by 12.5

16 = x²

→ Square root both sides

4 = x ∴ x = 4

Answer:

Step-by-step explanation:

Answer:

The correct option is (d). 2.15 meters.

Step-by-step explanation:

According to the given scenario, the approximate length of an alligator at the 67th percentile is as follows:

The length of an alligator is [tex]X \sim N(2,0.35)[/tex] .

Let us assume the [tex]P_{67}[/tex] be the 67th percentile

[tex]P(X <P67) = 0.67\\\\P(Z < \frac{P_{67 - 2 }}{0.35} ) = 0.67\\\\\emptyset (\frac{P_{67 - 2 }}{0.35} ) = 0.67\\\\ (\frac{P_{67 - 2 }}{0.35} ) = \emptyset^{-1 (0.67)\\\\[/tex]

[tex]\frac{P_{67 - 2 }}{0.35} = 0.44\\\\P_{67} = 2.154[/tex]

Hence, the correct option is (d). 2.15 meters

Answer:

I am pretty sure the answer would be $107.31. Sorry if I'm wrong.

Step-by-step explanation:

First you take the total of the 3 DVD's (45.99) and you divide that by 3 (number of DVD's) to get 15.33 which is called the unit price. Then, you take your unit price and multiply that by how many items you are going to buy.

45.99 / 3 = 15.33

15.33 x 7 = 107.31

Answer:

[tex]\frac{1}{2}[/tex] of the garden will be radishes.

Step-by-step explanation:

Given a rectangular garden which grows cucumbers in [tex]\frac{2}{3}[/tex] of the garden.

[tex]\frac{3}{4}[/tex] of the cucumber section to grow radishes.

To find:

How much of the whole garden will be radishes?

Solution:

Let the total area of the garden = [tex]x[/tex] sq units

Then as per our assumption, total area to grow cucumbers:

[tex]\frac{2x}{3}[/tex] sq units

Cucumber area to grow radishes = [tex]\frac{3}{4}[/tex] of cucumber area

[tex]= \dfrac{3}{4}\times \dfrac{2x}{3}\\\Rightarrow \dfrac{x}{2}\ sq\ units[/tex]

Fraction of whole garden to grow radishes = Area to grow radishes divided by whole area of garden

[tex]\Rightarrow \dfrac{\frac{x}{2}}{x}\\\\\Rightarrow \bold{\dfrac{1}{2}}[/tex]

Therefore, [tex]\frac{1}{2}[/tex] of the garden will be radishes.