What is the radius of this circle?

Answer:

Step-by-step explanation:

I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!

The volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,

[tex]V=\frac{4}{3}\pi(10)^3[/tex] so

V = 1333.33π inches cubed

If the diameter is 10 and the radius is 5:

[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is

V = 166.67π inches cubed

Answer:

i, 1.875 ft

ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.

Step-by-step explanation:

i. How deep will the water be if the box is resting on its largest face?

Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.

V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³

This is also the volume of the water when it is resting on its largest face.

Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face

So, h' = V/A'

= 75 ft³/ (8 ft × 5 ft)

= 15/8 ft

= 1.875 ft

ii, Explain your reasoning.

Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.

Answer:

y = -3x + 12

Step-by-step explanation:

6x + 2y = 24 *subtract 6x from both sides*

2y = -6x + 24 * divide both sides by 2*

y = -3x + 12

Answer:

3) y = -2x + 16

Step-by-step explanation:

__________

Answer:

0, 8/5

Step-by-step explanation:

You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)

Answer:

Amount left= 4,327.9 - 1,800

Step-by-step explanation:

Giving the following information:

Initial deposit (PV)= $3,500

Interest rate (i)= 11.2%

Number of periods (n)= 2 years

Withdrawal= $1,800

First, we need to calculate the future value of the investment at the end of 2 years:

FV= PV*(1 + i)^n

FV= 3,500*(1.112^2)

FV= $4,327.9

Now, after the withdrawal:

Amount left= 4,327.9 - 1,800

Answer: 65.4

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

no. of defective light bulbs= 8/100×500

= 40

Answer:    C(t) = 8 + 7t

Step-by-step explanation:  15 for first hour.  15 is constant and every hour after that is counted (t-1)·7, so  15 + 7(t-1) = 15 +7t - 7 = 8 + 7 t .

So when t = 1  C(1)  = 15

Elite parking charges cost $15 for the first hour and then $7 for each additional hour then the equation for this will be C = $15 + $7(t).

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the statement mentioned in the question,

Elite parking charges $15 for the first hour which is a constant value.

An additional charge is $7 for every extra hour.

So, the equation according to this is,

C = $15 + $7(t).

Here, C is the total cost and t is the number of hours of car parking, if the number of hours will increase the cost will also increase.

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Answer: C

Step-by-step explanation:

product of 3 and e in algebric function = 3e

Answer:

=3

Step-by-step explanation:

2+2=4

4-1=3

Quick maths

Answer:

A) The algebraic expression

= 12x + 7 = 91

B) He drives 7 miles per day

Step-by-step explanation:

For 11 days straight, Mike drove the same distance every day going to and coming from work.

Step 1

We are told : Mike drives 91 miles in total in those 12 days,

On the 12th day, he drove an extra 7 miles.

Hence:

91 miles - 7 extra miles

= 84 miles

Step 2

The number of miles he drives per day:

84 miles/12

= 7 miles per day

Step 3

The expression we can use to find the distance he travels each day going to and from work is written as:

Let the number of miles he travels be day = x

12x + 7 = 91 miles

12x + 7 = 91

12x = 91 - 7

12x = 84

x = 84/12

x = 7 miles per day

Answer:

From the survey, the following apply to both Junior and Seniors who were asked about their plan towards attending college:

C. Given the student plans to attend college, the probability the student is a junior is 68%.

D. Given the student is a junior, the probability the student plans to attend college is 68%.

F. Events "is a senior" and "plans to attend" are independent.

B. The probability the student plans to attend college is 70%.

Step-by-step explanation:

Answer:

d)

Step-by-step explanation:

a - b = 10

a = 4 + 3b

Answer:

5

Step-by-step explanation:

Answer:

1+1+3=5

Step-by-step explanation:

you have three dogs and you get another dog. You now have 4 dogs. You get yet another dog so now you have 5.

Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.

In mathematics, the unitary approach entails determining the value of a single unit and then using that value to determine the value of a certain number of units. It is frequently applied to issues concerning rates and proportions as well as issues relating to ratios and proportions. The unitary method, for instance, would result in a cost of $5 for 5 apples if the price of 1 apple is $2. To calculate the overall cost using the unitary method, we would multiply the $2 worth of one apple by the quantity we wish to purchase. Therefore $5 would be spent on 5 apples, or $2 each.

given

Assume that "x" represents the total quantity of flowers sold on that particular day.

Roses made up 35% of the total number of flowers, which means that:

0.35x = 42

By dividing both sides by 0.35, we can determine the value of "x":

x = 120

Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.

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Answer:

1000 combinations

Step-by-step explanation:

Answer:

a)5

b)8

c)7

Step-by-step explanation:

Hope this helps

Answer:

67.5

Step-by-step explanation:

area of a triangle (1/2 l×b)

1/2 ×9×15× x=135x

divide any side by 2

x=4.5×15=67.5

x=67.5

The value of x is 67.5.

We have given that,

A triangle has side lengths of 9 centimeters and 15 centimeters.

The third side has a length of x centimeters

The area of a triangle is  (1/2 l×b)

l is length and b is a breadth.

Therefore we use the given value in the formula so

1/2 ×9×15× x=135x

divide any side by 2

x=4.5×15=67.5

x=67.5.

Therefore the third side of the triangle is 67.5.

So the inequality is

67.5≤15≤9.

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Answer:

Yes

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

It's 100 ... ... ... ... ...

Answer:

3/4 or 75%

Step-by-step explanation:

Let's 1st find the cards that can be chosen.

3 and 5 are odd and 2 is also a divisor of 10.

These are 3 cards so 3/4 is 75% chance you will get a card that is odd or a divisor of 10.

Answer:

[tex]x = 1.5[/tex]

[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]

Answer:

x = 1.5

Step-by-step explanation:

[tex]\frac{9}{36} :\frac{x}{6}[/tex]

Cross multiply.

36 · x = 9 · 6

Simplify.

36x = 54

Divide each side by 36.

36x ÷ 36 = 54 ÷ 36

Simplify.

x = 1.5