Find the volume of each sphere. Round to the nearest tenth.
22 cm

Final answer:

To make a total of 4 starting with 2 1/8, you need to add 1 7/8, which is the difference between 4 written as a fraction (32/8) and 2 1/8 (17/8).

Explanation:

To find what you need to add to 2 1/8 to make 4, you follow these steps:

First, you need to write the number 4 as a fraction with the same denominator as 2 1/8. Since 1/8 is the fractional part of 2 1/8, you can write 4 as 32/8 (because 4 × 8 = 32).

Next, you subtract the fraction 2 1/8 from 32/8. The whole number 2 is the same as 16/8 (because 2 × 8 = 16). So 2 1/8 is the same as 17/8 (because 16 + 1 = 17).

Now, subtract 17/8 from 32/8 to get the difference. 32/8 - 17/8 = 15/8.

The fraction 15/8 can also be written as 1 7/8 (because 15 ÷ 8 = 1 with a remainder of 7).

Therefore, you need to add 1 7/8 to 2 1/8 to make 4.

Answer:

Step-by-step explanation:

The second expression 5 (x minus 3) the third 4 x + 3 y minus 15 minus 3 y + x

and there is no more

Answer:

5(x+3) 5 (x+15) Those are 2 Your welcome.! (:

Step-by-step explanation:

First, lets subtract the amount he has after the transaction and the amount he had before the transaction.

249 - 18 = 231

Second, divide by the amount of books Dan bought.

231 / 7 = $33 per book.

Best of Luck!

Answer:

x+2y=-1 3x+y=1

Step-by-step explanation:

look photo

Answer: x + 2y = -1 and 3x + y = 1

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Substitute n for 3

A(n) = 3/2(-2)^(n-1)

A(3) = 3/2(-2)^(3-1)

A(3) = 3/2(-2)²

A(3) = 3/2(4)

A(3) = 12/2

A(3) = 6

Answer:

6 is the right answer i pretty sure

Step-by-step explanation:

3/2(-2)^(n-1)

3/2(-2)^(3-1)

3/2(-2)²

3/2(4)

12/2

which then if we simplify we get

12/2=6

Answer:

F= (9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

make F the subject of the formula= isolate F

5(F-32)=9C

5F-160=9C

5F=9C+160

F= (9C+160)/5

check: a, b, c are all positive integers (a=9, b=160, c=5)

Answer:

9c+160/5

Step-by-step explanation:

Answers:

1. 1/12

2. 1/15

3. 16 feet

4. 222 inches

5. 27 feet

hope it helps :0

Answer:

- 8

Step-by-step explanation:

Given

= 4a + 8z ← substitute a = 8 and z = 3 into the expression

= - 4(8) + 8(3)

= - 32 + 24

= - 8

Answer:

-8

Step-by-step explanation:

a = 8

z = 3

-4(8) + 8(3) = -32 + 24 = -8

Step-by-step explanation:

D. Both charges must be different.

Because, like charges repel each other and different charges attract each other.

Answer:

  C.  18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

  3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from  ...

  15² = 12² +a²

  225 -144 = a² . . . . . . subtract 12²

  81 = a² . . . . . . . . . . .  simplify

  9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

  2(9 cm) = 18 cm . . . . length of chord XY

Answer:

= 2(x+[tex]\frac{5}{2}[/tex] )

Step-by-step explanation:

2x + 5

= 2(x+[tex]\frac{5}{2}[/tex] )

When:

2 is the constant

(x+[tex]\frac{5}{2}[/tex] )  is a sum of terms

Hope it will find you well.

The expression 2x + 5 can be written as the product of 1 and the sum 2x + 5. Therefore, it's 1(2x + 5).

Step 1:

Factor out the greatest common factor.

In the expression 2x + 5, there is no common factor other than 1 since both terms do not share any common factors.

Step 2:

Rewrite as the product of a constant and a sum of terms.

We rewrite 2x + 5 as the product of 1 and the sum of 2x and 5: [tex]\(1 \times (2x + 5)\).[/tex]

Step 3:

Perform the multiplication.

Multiplying 1 by the sum (2x + 5) gives us [tex]\(1 \times (2x + 5) = 2x + 5\)[/tex].

Step 4:

Interpret the result.

The expression [tex]\(2x + 5\)[/tex] represents the original expression 2x + 5 as the product of the constant 1 and the sum of terms 2x and 5. This expression is now in the form requested.

Answer:

90 km / hour.

Step-by-step explanation:

Speed = distance / time

So Distance = speed * time.

The distance is the same  in both scenarios so

60 * 9 = s * 6   where s is the required speed.

540 = 6s

s = 540 / 6

s = 90 km / hour.

Answer:

90 km/h

Step-by-step explanation:

If the jeep finished the journey in 9 hours and 60 km/h, then we know that the journey is 9 * 60 kilometers long, or 540 kilometers.

540 kilometers / 6 hours = 90 km/h

Answer:

PD = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in right Δ PDW and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex], then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{WD}{PD}[/tex] = [tex]\frac{12}{PD}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

PD = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using similarity it can be solved as:

[tex] In\:\triangle PDW\: \& \: \triangle CTW\\\\

\angle PDW \cong \angle CTW.... (each\:90 °) \\\\

\angle PWD \cong \angle CWT... (Vertical\:\angle s) \\\\

\therefore \triangle PDW\: \sim\: \triangle CTW\\

(by \:AA\: criterion \: of\: similarity) \\\\

\therefore \frac{PW}{CW} =\frac{WD}{WT}.. (csst) \\\\

\therefore \frac{PW}{6} =\frac{12}{3}\\\\

\therefore \frac{PW}{6} =4\\\\

\therefore PW=4\times 6\\\\

\huge \red {\boxed {\therefore PW=24}} \\\\

In\:\triangle PDW\:, \angle PWD = 60°\\\\

\therefore PD =\frac {\sqrt 3}{2} \times PW\\\\

\therefore PD =\frac {\sqrt 3}{2} \times 24\\\\

\huge \orange {\boxed {\therefore PD = 12\sqrt 3\: units}} [/tex]

Check the picture below.

Solution:

Given that,

z varies directly with x and inversely with [tex]y^2[/tex]

Which means,

[tex]z \propto \frac{x}{y^2}\\\\z = k \times \frac{x}{y^2}[/tex]

Where, "k" is constant of proportionality

Substitute x = 2 and y = 5, z = 8 in above

[tex]8 = k \times \frac{2}{5^2}\\\\8 = \frac{2k}{25}\\\\k = 25 \times 4\\\\k = 100[/tex]

What is the value of z when x = 4 and y = 9?

Substitute k = 100 , x = 4 and y = 9 in above

[tex]z = 100 \times \frac{4}{9^2}\\\\z = 100 \times \frac{4}{81}\\\\z = 4.938[/tex]

Thus value of z is 4.938

Answer:

60 ft.

Step-by-step explanation:

We can solve this problem with a simple proportion:

24 / 10  =  h / 25

10h = 24 * 25

600 = 10h

60 ft. = h

The height of the tree would be 60 feet when its shadow 25-foot.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

We have been given that Derek sees that a 24-foot flag pole casts a 10-foot shadow.

Let the height of the tree would be h when its shadow 25-foot.

According to the given question, we can write the proportion as:

24 : 10  =  h : 25

⇒ 24 / 10  =  h / 25

⇒ 10h = 24 × 25

⇒ 600 = 10h

⇒ 60 = h

⇒ h = 60

Therefore, the height of the tree would be 60 feet when its shadow 25-foot.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ5

Answer:

-8×+1

Step-by-step explanation:

you CLT the 4 + (-3)

Answer:

-8x + 1

Step-by-step explanation:

(Not sure what you wanted it rewritten as. This is the equation in standard form).

The length of each side is 50 inch/ 600 ft

Step-by-step explanation:

Given,

The perimeter of the square park = 12 inches

1 inch = 200 ft

12 inches = 12×200 ft = 2400 ft

To find each side of the park.

Let, each side be 'a' inches

Formula

The perimeter of a square = 4a

According to the problem,

4a = 2400

or, a = 600 ft

= 50 inch

Answer:

2400 feet

Step-by-step explanation:

1 : 200

12 : X

X = 12 × 200 = 2400 feet

At 1 pm the ocean was at a hight tide but at 7pm it was at a low tide this means the tide has been decreasex by 2.6 feet

Step-by-step explanation:

Answer:$3912.81

Step-by-step explanation:

You can calculate this by finding the cost ofn1 training session and then multiplying by the 167 training sessions

If 86 training sessions =$2015

Then 1training session=2015/86 =$23.43

167 training sessions =$23.43×167= $3912.81

Answer:25/39

Step-by-step explanation:

Answer:

789.6

You can do it on a calculator

105% of 752 is 789.6.

To find what number is 105% of 752, we first need to calculate 105% of 752.

105% of 752 can be found by multiplying 752 by 105% (or 1.05).

The calculation is: 752 * 1.05 = 789.6

Therefore, 105% of 752 is 789.6.

Answer:

-2 + sqrt(2)

-2 - sqrt(2)

Step-by-step explanation:

3x² + 12x + 6 = 0

x² + 4x + 2 = 0

Use the quadratic formula:

[-4 + sqrt(4² - 4(1)(2))]/2

-2 + sqrt(2)

[-4 + sqrt(4² - 4(1)(2))]/2

-2 - sqrt(2)

sqrt: square root

Answer:

A=~r

Step-by-step explanation:

Answer:

To find the area of a circle use the formula:  A = π * r^2

r is the radius that is given.

Example:  Find the area of a 5 in radius circle

A = π * (5)^2

A = 25π

A = 78.54

Hope this helps :)

Answer:

[tex]x = - 2 \: o r\: 1[/tex]

Step-by-step explanation:

We want to solve the quadratic equation:

[tex]5x + 5{x}^{2} - 10 = 0[/tex]

Rewrite in standard form to get:

[tex]5 {x}^{2} + 5x - 10 = 0[/tex]

Divide through by 5 to get;

[tex]{x}^{2} + x - 2 = 0[/tex]

Factor to get;

[tex](x + 2)(x - 1) = 0[/tex]

Apply zero product property to get:

[tex]x + 2 = 0 \: or \: x - 1 = 0[/tex]

The solutions are:

[tex]x = - 2 \: or \: x = 1[/tex]

Answer:

x=-8

Step-by-step explanation:

-8x - 8 + 3(x-2) = -3x + 2     Multiply the parentheses by 3

-8x - 8 + 3x -6= -3x +2        Collect all like terms and Calculate

-5x - 14= -3x + 2                   Move the terms

-5x + 3x = 2 + 14                  Collect all the like terms and Calculate the sum

-2x = 16                                Divide both of the sides by -2

x = -8

I hope this is what you were looking for and helps you out.

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

Given Equation:

           [tex]-8x-8+3(x-2)=-3x+2[/tex]

Solving for 'x' by taking the terms of 'x' to one side and constants to the other side:

         [tex]-8x-8+3(x)-3(2)=-3x+2\\[/tex]

           [tex]-8x-8+3x-6=-3x+2[/tex]

Adding the like terms:

         [tex]-5x-14=-3x+2[/tex]

Adding '[tex]3x[/tex]' both sides:

         [tex]-5x+3x-14=-3x+3x+2[/tex]

         [tex]-5x+3x-14=2\\\\-2x-14=2[/tex]

Adding '[tex]14[/tex]' both sides:

            [tex]-2x-14+14=2+14\\\\-2x=16\\\\x=\frac{16}{-2}[/tex]

            [tex]x=-8[/tex]

For this case we have that, by definition of trigonometric relationships of rectangular triangles, the cosine of an angle is given by the division of the leg adjacent to the angle on the hypotenuse of the triangle. According to the figure we have:

[tex]Cosine (50) = \frac {6} {x}\\x = \frac {6} {cosine (50)}\\x = 9.3343[/tex]

Thus, the value of x is 9.3

Answer:

[tex]x = 9.3[/tex]

Step-by-step explanation:

The money deposited in the bank = 5000

Rate of interest = 6%

Number of years = 18

By simple interest Formula,

Interest = PNR / 100

Where P is the principal amount = 5000

N = no of years = 18

R =rate of interest = 6

Substituting the values in the equation, we get

Interest = (5000 * 18 * 6) / 100

Interest = 5400

total amount present = principal + interest

  = 5000 + 5400 = 10400

Answer:

Enlargement

Factor 2

Step-by-step explanation:

X'Y'/XY = 10/5 = 2

Answer: 7:4

Step-by-step explanation:

To take this ratio to its simplest form, we have to divide by a value divisible by both sides of the ratio.

8 is a divisible value, therefore,

56/8 = 56 ÷ 8 = 7

32 ÷ 8 = 4

Thus, 56:32 in its simplest form= 7:4

I hope this helps.