Find the value of x.

Answer:

r = 9 m

Step-by-step explanation:

The volume of a sphere is defined as:

[tex]V = \frac43 \pi r^3\\[/tex]

if this is equal to 972π, then r³ = 972 * 3/4

so r = ∛729 = 9

Answer:

The radius of sphere is 9m.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :

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

Let V = 972π,

[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]972 = \frac{4}{3} {r}^{3} [/tex]

[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]

[tex] {r}^{3} = 729[/tex]

[tex]r = \sqrt[3]{729} [/tex]

[tex]r = 9metres[/tex]

Answer:

I  depends on P, R, and T describes the relationship between the variables of the simple interest formula

Step-by-step explanation:

We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :

Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]

So,[tex]I \propto P[/tex]

[tex]I \propto T[/tex]

[tex]I \propto R[/tex]

So, I depends on P , T and R

So, Option C is true .

Hence I  depends on P, R, and T describes the relationship between the variables of the simple interest formula

Answer:

I depends on P, R, and T

Step-by-step explanation:

Answer:

-(i×5) + 18

Step-by-step explanation:

Simplify the following:

-sqrt(-25) + 18

sqrt(-25) = sqrt(-1) sqrt(25) = i sqrt(25):

18 - i sqrt(25)

sqrt(25) = sqrt(5^2) = 5:

Answer: -(i×5) + 18

Line C shown in the graph has a required slope of 3/4.

Given that,
A figure is shown we have to determine a line that has a slope of 3/4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanФ where x in degrees.

m  =(y₂ - y₁) /  (x₂ - x₁) = tanФ

here,
The slope of the line A = ∞
The slope of the line D = 0
The slope of the line B = 4/ 3
The slope of the line C = 3/4

Thus, Line C shown in the graph has a required slope of 3/4.

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Answer:

16x² + 24x + 9

Step-by-step explanation:

16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²

Answer:

B

Step-by-step explanation:

232/4= 58

343/7= 49

58-49= 9

Answer:

a) Pick a club card from an ordinary pack of cards

VERY LIKELY

b) Pick the ace of spades from an ordinary pack of cards

VERY UNLIKELY

c) Tossing a coin and it landing on heads

LIKELY

d) I roll a dice and get a 7

IMPOSSIBLE

e) Somebody you know is left-handed

LIKELY

a) Impossible

In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.

b) Unlikely

The chance of snow in June in Florida

c) Certain

“Head or Tail' is a certain event connected with tossing a coin

d) Likely

The sharp knife will cut his finger

e) Very likely​

Since it is sunny and hot, it is I will go to the pool today.

Answer:

a) Pick a club card from an ordinary pack of cards

VERY LIKELY

b) Pick the ace of spades from an ordinary pack of cards

VERY UNLIKELY

c) Tossing a coin and it landing on heads

LIKELY

d) I roll a dice and get a 7

IMPOSSIBLE

e) Somebody you know is left-handed

LIKELY

a) Impossible

In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.

b) Unlikely

The chance of snow in June in Florida

c) Certain

“Head or Tail' is a certain event connected with tossing a coin

d) Likely

The sharp knife will cut his finger

e) Very likely​

Since it is sunny and hot, it is I will go to the pool today.

Answer:

Step-by-step explanation:

Answer:

m∠A = 60

m∠B = 60

m∠C = 60

Step-by-step explanation:

Please mark Branilest

Answer:

b) 65f

Step-by-step explanation:

Answer:

b. 65° F

Step-by-step explanation:

option B is correct answer

Answer:

The answer is 3

Step-by-step explanation:

7.5 m

---------

  5

7.5(2)=15

-------------

       5

15

---    =3

5

Answer:

A

Step-by-step explanation

the square in the corner

The shape of the given triangle is right angle.

The square in the corner

We have given that,

A. Right

B. Isosceles

C. Equilateral

D. Scalene

We have to determine the shape of the given triangle.

A right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.

The shape of the given triangle is right angle.

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Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

Answer:

The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2

Step-by-step explanation:

Answer:

If the answer asks for improper fraction it is [tex]\frac{15}{8}[/tex]

If it asks for simplest form it is [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

[tex]1.875=\frac{1.875}{1}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by [tex]10^3=1000[/tex]

[tex]\frac{1.875}{1} *\frac{1000}{1000} =\frac{1875}{1000}[/tex]

Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125

[tex]\frac{1875/125}{1000/125} =\frac{15}{8}[/tex]

Simplify the improper fraction

[tex]=1\frac{7}{8}[/tex]

Answer:

C

Step-by-step explanation:

The substance in the second beaker must have lost heat for it to solidify

Answer:

Step-by-step explanation:

The thermometer’s temp could have made the liquid to chemically react?

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)

Answer: the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = -2/3

Answer:

0.03 m

Step-by-step explanation:

End height:  1.57 m

Current height:  1.54 m

Difference:  0.03 m

Wall must be 0.03 m taller than it is now.

Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2. 

126/32=(63*2)/(16*2)

The 2s in the top and bottom can cancel out, leaving the fraction 63/16. 

In addition, since there are x terms on the top and bottom, they cancelled out as well. 

x/x^3=1/x^2

This leaves an x^2 term on the bottom. 

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.

Step-by-step explanation:

Answer:

A=16 & B=2

Second part is B

Step-by-step explanation:

;)

Answer:

12

Step-by-step explanation:

f(x) = sqrt( x-5)+3

Let x = 86

f(86) = sqrt(86 -5) +3

f(86) = sqrt(81) +3

f(86) = 9+3

f(86) = 12

The side length is 12

Answer:

reflection over the x-axis

Answer:

Reflection over the x axis

Step-by-step explanation:

The image is a mirror image across the x axis.  Think of it as folded across the x axis.  It looks identical

Answer:

d

Step-by-step explanation:

because what is 24 meters- 24meters=0

If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.

Answer:

Diver A is 21 ft below Diver B

Step-by-step explanation:

Diver A

-18 then goes down 30

-18 - 30 = -48

Diver B is at -27

Relationship

-48 - -27

-48+27 = -21

Diver A is 21 ft below Diver B

Answer:

179

Step-by-step explanation:

The total number of animals in the river was 632.

A herd of 187 elephants and 266 zebras left the river area.

Adding them up, the total number of animals that left the river area is:

187 + 266 = 453

Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:

632 - 453 = 179

Answer: 4 bags

Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.

Answer:

2.52 inches

Step-by-step explanation:

Model: 1 inch =150 yds

378/150=2.52

Length of model: 2.52 inch

Answer:

x =16

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos 60  = 8/x

Switch the x and the cos 60

x = 8/cos 60

x =8 / (1/2)

x =16

Answer: The speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Step-by-step explanation:

Since we have given that

Speed of train = 100 miles per hour

Speed of girl = 5 miles per hour

Since the girl is moving towards the back of train.

So,it means train and girl are moving in opposite direction.

So, Relative speed would be

[tex]100+5=105\ miles/hr[/tex]

Hence, the speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.