James cut a rope that is 2 2/5 inches long. What is the length in inches of 9 of these ropes? *​

Answer:

Answer: 5/12 or approx. 0.42

Step-by-step explanation:

The ball will displace as much water as its volume.

Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.

Volume of a sphere:

[tex]V_s=\frac{4}{3} \pi r^3[/tex]

The radius is half the diameter. The diameter of the sphere is 10, thus:

[tex]r = d/2 = 10/2 = 5[/tex]

5^3 = 5*5*5 = 25*5 = 125

[tex]V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125[/tex]

The volume of a cylinder, which will be the shape of the increase in water, is the following:

[tex]V_c=\pi r^2 h[/tex]

We know the radius r, as we know the diameter.

[tex]r=d/2=40/2=20[/tex]

[tex]V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400[/tex]

We are looking for the height of the cylinder, h, as that will be the height of the water rise.

Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:

[tex]V_s = V_c[/tex]

[tex]\frac{4}{3} * 125 * \pi = 400 * h * \pi[/tex]

We can get rid of pi by dividing both sides by pi:

[tex]\frac{4}{3} * 125 = 400 * h[/tex]

And now divide both sides by 400:

[tex]\frac{4}{3} * \frac{125}{400}= h[/tex]

Just reversing it and putting h to the left:

[tex]h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}[/tex]

I see that I can divide both the numerator and the denominator by 4:

[tex]h =\frac{125}{3 * 100}= \frac{125}{300}[/tex]

I'll now divide both the numerator and the denominator by 25 to simplify the expression:

[tex]h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}[/tex]

Answer: The water rises by 5/12 (five twelfths).

If I want an approximate decimal answer, I can simply run this expression in a calculator:

[tex]\frac{5}{12}[/tex] ≈ [tex]0.416666667[/tex] ≈ [tex]0.42[/tex]

The amount of water rise is 0.42 and this can be determined by using the formula of the volume of the sphere and the cylinder.

Given :

A stone is dropped into a barrel of water and sinks to the bottom.

The ball is completely covered by water.

The following steps can be used in order to determine the water rise in the barrel:

Step 1 - The formula of the volume of a sphere is used in order to determine the water rise in the barrel.

Step 2 - The volume of a sphere is given below:

[tex]\rm V_s=\dfrac{4}{3}\times \pi \times r^3[/tex]

Step 3 - Substitute the values of the known terms in the above expression.

[tex]\rm V_s=\dfrac{4}{3}\times \pi \times \left(\dfrac{10}{2}\right)^3[/tex]

Step 4 - Simplify the above expression.

[tex]\rm V_s = \dfrac{4}{3}\times \pi \times 125[/tex]   --- (1)

Step 5 - The volume of the cylinder is given below:

[tex]\rm V_c= \pi\times \left(\dfrac{40}{2}\right)^2\times h[/tex]   --- (2)

Step 6 - Equate expression (1) and (2) in order to determine the value of 'h'.

[tex]\dfrac{4}{3}\times \pi \times 125= \pi \times 400 \times h[/tex]

Step 7 - Simplify the above expression.

[tex]\rm h = \dfrac{4\times 125}{3\times 400}[/tex]

h = 0.42

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The blue and red light will flash together after every 24 seconds.

What is LCM ?

LCM is the Least Common Multiple of at least two numbers, It is the smallest number that will be completely divisible by both the numbers.

The blue light flashes every 8 seconds

The red light flashes every 12 seconds

The time at which they will flash together can be determined by finding their LCM

LCM of 8 and 12 is 24.

Therefore, after every 24 seconds, they will flash together.

To know more about LCM

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Answer:

Step-by-step explanation:

f= 7x+16 over x

Answer:

130 mg

Step-by-step explanation:

As the statement indicates that the daily recommended amount of calcium is 1,000 mg and that Velveeta contains 13% of that, you have to calculate the 13% of 1,000 to find the answer:

1,000*13%=130

According to this, there are 130 mg of calcium in one serving of Velveeta.

Answer:

Step-by-step explanation:

It’s v208

Answer:

-2, -12

-1,-3

0,0

1,-3

2,-12

Step-by-step explanation:

Used algebraic calculator

Answer:

a. irrational numbers

Step-by-step explanation:

Answer:

Irrational numbers does not contain the number 2(or 24, depending on if that last bit was a typo or not).

Answer:

B. (x² + 12)(x + 2)

Step-by-step explanation:

Step 1: Write expression

x³ + 2x² + 12x + 24

Step 2: Group and factor

x³ + 2x² → x²(x + 2)

12x + 24 → 12(x + 2)

Step 3: Combine factors

(x² + 12)(x + 2)

Answer:

35 miles per hour

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

c  took the test on edg

Answer:

4/11

Step-by-step explanation:

Infants are 4 out of the 11 children total.

Answer:

4/15

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

Scientific Notation is so useful in many ways

It makes it easier to deal with because the long numbers are converted into smaller numbers. Like for example, 0.000000000000000000000000000000000000000000045 is converted into 4.5*10^44. Isn't that MUCH MORE simpler?!?!??!

It is also used to find masses, for example, like some metals or substances that have a really smaller mass.

Answer:one pencil would be $0.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

9+2=11

Answer:

7

Step-by-step explanation:

If range is 6 then the difference between highest and lowest is 6 so 1 + 6 = 7 so b is equal to 7.

Answer:

A

Step-by-step explanation:

15*18=270.

270-46.50=223.5

223.5-129.95=93.55.

A. $93.55

Answer:

(x+7y)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x + 7y)(x + 7y)

x^2 + 7xy + 7xy + 49y^2

x^2 + 14xy + 49y^2

Answer:

Step-by-step explanation:

30: 1, 2, 3, 5, 6, 10, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

greatest number of fill using all of the food is 6

An infomercial selling a product for "five low monthly payments of just $99" is using the Installment Pricing sales tactic.

Sales tactics are those actions that are designed to build trust with potential customers and inspire to buy with confidence.

An installment purchase agreement is a type of contract that is used to finance the purchase of assets. The buyer pays the seller the full purchase price over time through a series of partial payments under the terms of such an agreement. Interest, whether stated or implied, is included in the payments.

Installment payments are when a customer pays a bill in small amounts over a set period of time.

Therefore, Option (d)  is correct.

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Answer:

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = y2 - y1 / x1 - x2

m(x1 -x2) = y2 -y1

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

Multiply both sides by (x2 - x1)

m(x2 - x1) = y2 - y1

Add y1 to both sides

m(x2 - x1) + y1 = y2

y = m(x2 - x1) + y1

Answer:

20

Step-by-step explanation:

Evaluate 3 x^2 - 4 x where x = -2:

3 x^2 - 4 x = 3×(-2)^2 - -2×4

Hint: | Evaluate (-2)^2.

(-2)^2 = 4:

3×4 - 4 (-2)

Hint: | Multiply 3 and 4 together.

3×4 = 12:

12 - 4 (-2)

Hint: | Multiply -4 and -2 together.

-4 (-2) = 8:

8 + 12

Hint: | Evaluate 12 + 8 using long addition.

| 1 |  

| 1 | 2

+ | | 8

| 2 | 0:

Answer: 20

Answer:

x=2

Step-by-step explanation:

plz mark as brainliest

Step-by-step explanation: 29-8=21 so im guessing just subtract bc from Ac and that's your evidence maybe?

Answer:

i´ḿ confused

Step-by-step explanation:

Answer:

2cm

Step-by-step explanation:

AB= 1cm

AC= 90°

OB= 180°

OB= 2cm

To find OA= 2 divide 2

= 1cm

AB+OA= 2CM