WILL MARK BRAINLIEST!!!
The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V and five-sevenths represent?

the radius of the rubber ball when the volume equals five-sevenths cubic feet
the volume of the rubber ball when the radius equals five-sevenths feet
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

The correct option is C. 3 ÷ 1 > 3 ÷ 3.

To solve this problem, we need to evaluate each of the given number sentences to determine which one is true.

A. 3 ÷ 1 < 0 ÷ 3

First, we perform the divisions:

3 ÷ 1 = 3

0 ÷ 3 = 0

Now we compare the results:

3 < 0

This statement is false because 3 is not less than 0.

B. 0 ÷ 3 > 3 ÷ 3

Again, we perform the divisions:

0 ÷ 3 = 0

3 ÷ 3 = 1

Now we compare the results:

0 > 1

This statement is false because 0 is not greater than 1.

C. 3 ÷ 1 > 3 ÷ 3

We perform the divisions:

3 ÷ 1 = 3

3 ÷ 3 = 1

Now we compare the results:

3 > 1

This statement is true because 3 is greater than 1.

D. 3 ÷ 3 < 4 ÷ 4

We perform the divisions:

3 ÷ 3 = 1

4 ÷ 4 = 1

Now we compare the results:

1 < 1

This statement is false because 1 is not less than 1; they are equal.

Therefore, the only true statement is C. 3 ÷ 1 > 3 ÷ 3.

Answer:

x = 45

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{score}{count}[/tex]

here the average = 50 , thus

[tex]\frac{36+44+75+x}{4}[/tex] = 50

Multiply both sides by 4

36 + 44 + 75 + x = 200

155 + x = 200 ( subtract 155 from both sides )

x = 45

This is an arithmetic sequence

The value of the 3rd term is 72

There are 4 terms in this sequence

The sequence starts at 60 and adds 6 repeatedly

Answer:

b, c, f, g

Step-by-step explanation:

Answer: 7/12

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

The problem is asking us to find what fraction of students watch between 0 and 2 hours of TV a day:

The information we have is:

0 - 1 hours = 1/6

1 1/2 - 2 hours = 5/12

We only need this information because it is asking us for 0 to 2 hours.

Now we have to add the fraction of students that watch TV 0-1 hours and the fraction of students watch TV 1 1/2 - 2 hours:

1/6 + 5/12

To be able to solve this we have to have the same denominator and to do it we have to multiply the first fraction by 2:

(1/6) *2 = 2/12

Now we can add:

2/12 + 5/12 = 7/12

We add the numerators and the denominator stays the same.

Answer:

246000cm

Why: The km to cm formula is:

km/ 0.000010000

Answer:

$45

Step-by-step explanation:

Multiply 4.5 by 5 to give you the total amount lost over 5 days,which is 22.5. If you lost 22.5 and started with 67.5, subtract the two to get your answer

Good evening ,

____________________

Step-by-step explanation:

it’s a rational function then it’s continue at all real numbers except when x=3

[tex]\frac{1}{x-3}[/tex] ; x≠3.

:)

It's 0.

By definition, the absolute value of a number [tex]x[/tex] is

[tex]|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x<0\end{cases}[/tex]

so it follows that |0| = 0.

Intuitively, the quantity [tex]|a-b|[/tex] can be thought of as "the distance between the numbers [tex]a[/tex] and [tex]b[/tex] on the real line". If [tex]a=b=0[/tex], asking about |0| is the same as asking "how far away is 0 from 0 on the number line?" to which we answer, 0.

The absolute value of any number is the positive version of that number.

However, there is an exception which I have provided in the image attached.

Answer:

[tex]4,872\ mi^2[/tex]

Step-by-step explanation:

The complete question is

Lake Victoria has the largest surface area of all lakes in Africa. Its surface area is 26,828 square miles. How much larger is the surface area of Lake Superior than that of Lake Victoria?

we know that

Lake Superior has a surface area of 31,700 square miles---->  see the attached figure

To find out how much larger is the surface area of Lake Superior than that  of Lake Victoria, subtract the surface area of Lake Victoria from the surface area of Lake Superior

so

[tex]31,700-26,828=4,872\ mi^2[/tex]

Answer:

21

Explanation:

Look at the graph and add up all of the numbers. Hope this helps!

In order to get the answer to this question you will have to multiply the whole number as many times as it's exponent so in this case you will have to multiply 10, 15 times.

[tex]10^{15}[/tex]

[tex]10^{15} = 10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10[/tex]

[tex]10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10 = 1000000000000000[/tex]

[tex]= 1000000000000000[/tex]

Therefore your answer is "1,000,000,000,000,000."

Hope this helps.

Answer:

$528.92

Step-by-step explanation:

The subscription given is $499 plus 8% tax

Add tax

108/100 * $499 = $538.92

$538.92 for 30 days.

If its being promoted for 7 days there is a $10 off coupon, this will be;

$538.92-$10 = $528.92

Final cost = $528.92

The course of the Iditarod Trail ultra-marathon is approximately 38.09524 times longer than the course of the Boston Marathon.

To find out how many times longer the course of the Iditarod Trail ultra-marathon is compared to the Boston Marathon, we can divide the length of the Iditarod Trail ultra-marathon by the length of the Boston Marathon.

Length of Iditarod Trail ultra-marathon = 1.6x106 meters

Length of Boston Marathon = 4.2x104 meters

Dividing the length of the Iditarod Trail ultra-marathon by the length of the Boston Marathon:

1.6x106 / 4.2x104 = 38.09524

The course of the Iditarod Trail ultra-marathon is approximately 38.09524 times longer than the course of the Boston Marathon.

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The course of the Iditarod Trail ultra-marathon is about 38.095 times longer than the course of the Boston Marathon.

To determine how many times longer the course of the Iditarod Trail ultra-marathon is compared to the Boston Marathon, we can divide the length of the Iditarod Trail (1.6×106 meters) by the length of the Boston Marathon (4.2×104 meters). Performing the division, we get:

(1.6×106 meters) / (4.2×104 meters)

= 38.095

The course of the Iditarod Trail ultra-marathon is about 38.095 times longer than the course of the Boston Marathon.

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Answer:

two hundredths

Step-by-step explanation:

6 is in the ones place. 3 is in the tenths place. 2 is in the hundredths place

5 is in the thousandths place.

Answer:

two hundredths

Step-by-step explanation:

its two places after the decimal point

Answer:

The electrician charges $46 per hour

Step-by-step explanation:

we know that

An electrician charges $322 for 7 hours of work

so

using proportion

Find out how much does the electrician charge per hour

Let

x ----> the charge per hour

[tex]\frac{322}{7}\frac{\$}{h}=\frac{x}{1}\frac{\$}{h}\\\\x=322/7\\\\x=\$46[/tex]

therefore

The electrician charges $46 per hour

The electrician charges $46 per hour.

The total charge is $322, and the total number of hours worked is 7.

To find the charge per hour, use the formula:

Charge per hour = Total charge / Number of hours

Substitute the given values into the formula:

Charge per hour = 322 / 7

Perform the division:

322 divided by 7 equals 46. Therefore, the electrician charges $46 per hour.

So, the calculation is:

Charge per hour = 46

Answer:Communitive Property

Step-by-step explanation: You can only do this property with addition and multiplication because you are able to switch the places and still get the same answer

Answer:

The length of rectangular panel is 6.4 cm.

Step-by-step explanation:

We are given the following information in the question:

Area of rectangular solar panel = 128 square cm

Width of panel = 20 cm

We have to find the length of the panel

Formula:

[tex]\text{Area of rectangular panel} = \text{Width}\times \text{Length}\\\Rightarrow 128 = 20\times \text{Length}\\\\\text{Length} = \displaystyle\frac{128}{20} = 6.4\text{ cm}[/tex]

Hence, the length of rectangular panel is 6.4 cm.

This is an example of direct variation as greater would be length and breadth, the greater would be the area.

Answer:

The function representing the graph is described by two equations, depending on the "x" value

f(x) = (1/3)x + 3 , if x is greater than -3.

f(x) = -x - 5 , if x is less than -3.

Step-by-step explanation:

First, you have to realize that the graph is described by two functions depending on the "x" value and that it is not defined in x= -3.

Then, for "x" values greater than -3, we look at the right line and we took 2 couple of points (-3,2) and (0,3). Using the formula for the slope and the interception with y axis.....

Slope = y2- y1 / x2- x1 = 3 - 2/ 0 - (-3) ⇒ slope = 1/3.

Interception with "y" axis y= 3

⇒ f(x) = (1/3) x + 3.

For "x" values minor than -3, we have to look the left line. Here we used the slope formula and points (-3, -2) and (-5, 0)

Slope = 0 - (-2)/ -5 - (-3) =-1. So, f(x) = -x + b.

Finally we use one of the points to replace in the formula of f(x) to find "b".

-2 = - (-3) + b ⇒ b = -5. ⇒ f(x) = - x -5

Summarizing, f(x) = (1/3)x + 3 , if x is greater than -3.

                      f(x) = -x - 5 , if x is less than -3.

Answer: the correct answer is B

Answer:

55%

Step-by-step explanation:

all you have to do is divide 114.4 by 208 to get 0.55, then turn that into a percentage by moving the decimal 2 times to the right.

Answer:

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\begin{array}{ccc}208&-&100\%\\\\114.4&-&p\%\end{array}\qquad\text{cross multiply}\\\\208p=(100)(114.4)\\\\208p=11440\qquad\text{divide both sides by 208}\\\\p=\dfrac{11440}{208}\\\\p=55[/tex]

[tex]\bold{METHOD\ 2}\\\\\text{Calculate the quotient of given numbers and convert it to the percent:}\\\\\dfrac{114.4}{208}=0.55\\\\0.55\cdot100\%=55\%[/tex]

The value 503.782 to the nearest tenth is 503.8

Rounding up to the nearest tenth means we want only a digit to be placed after the decimal point.

Given the value 503.782, this value to the nearest tenth will be 503.8.

Note that 1 was added to the value "7" after the decimal point. This was because the adjacent value "8" is more than 4.

Hence the value 503.782 to the nearest tenth is 503.8

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Final answer:

To round 503.782 to the nearest tenth, the digit in the hundredths place is 8, which is greater than or equal to 5. Therefore, the rounded number is 503.8.

Explanation:

To adjust 503.782 to the closest 10th, we really want to take a gander at the digit in the hundredths place, which is the second digit after the decimal point. It is 7 in this instance.

Since 7 is more prominent than or equivalent to 5, we gather together the digit in the tenths place, which is the primary digit after the decimal point. For this situation, it is 8.

Therefore, 503.8 is obtained by rounding 503.782 to the nearest tenth.

To round 503.782 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is greater than or equal to 5, we round up. Therefore, the rounded number is 503.8.

Answer:

x = 2.8 hours

Explanation

Total distance = 350 km

Time period = 3 hrs

Hence we need to formulate an equation...,

Distance = Speed × Time

; Distance covered travelling at 120 = 120x Since the total time period was 3hrs...then the remaining time is (3 - x)

;Distance covered travelling at 60 = 60(3- x)

The equation is going to be...,

; 120x + 60(3 - x) = 350...since total distance is 350 km

; 120x + 180 - 60x = 350

; 60x = 170....divide both sides by 60

Hence..., x = 2.8 hours

Answer:

-303 is your answer.

Step-by-step explanation:

What you have to do is PEMDAS.

5 + 4 – (102 – 8 × 3) × 4=

5 + 4 - (102 - 24) × 4=

5 + 4 - 78 × 4=

5 + 4 - 312=

9 - 312=

-303 is your answer.

Answer: 76

Step-by-step explanation:

For this case we have the following solutions:

[tex]x_ {1} = 1 + \sqrt {5}\\x_ {2} = 1- \sqrt {5}[/tex]

Then, the factorized equation is of the form:

[tex](x- (1+ \sqrt {5})) (x- (1- \sqrt {5})) = 0\\(x-a) (x-b) = 0[/tex]

We apply distributive property:

[tex]x ^ 2-bx-ax + ab = 0\\x ^ 2- (1- \sqrt {5}) x- (1+ \sqrt {5}) x + (1+ \sqrt {5}) (1- \sqrt {5}) = 0\\x ^ 2-x + \sqrt {5} x-x- \sqrt {5} x + (1 ^ 2- \sqrt {5} + \sqrt {5} - (\sqrt {5}) ^ 2) = 0\\x ^ 2-2x + (1-5) = 0\\x ^ 2-2x-4 = 0[/tex]

ANswer:

The equation is [tex]x ^ 2-2x-4[/tex]

I'd estimate about 29 or 30 miles per hour.

The exact answer is 29.0675 miles per hour

5 2/7 x 5 1/2 = 29.0675.

The fish can swim approximately 29 miles per hour, with the exact speed being 29 1/14 miles per hour. This is determined by converting the mixed numbers to improper fractions, multiplying them together, then converting the product back to a mixed number.

The subject of this question is mathematics, specifically a real-world application of multiplication of fractions. If a person can swim at a rate of 5 2/7 miles per hour, and the fish swims 5 1/2 times faster, we have to multiply the person's speed by the speed multiplier which is the speed of the fish relative to the person.

Step-by-step explanation:

So the fish can swim approximately 29 miles per hour and the exact speed is 29 1/14 miles per hour.

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Let's first start by finding the area of the bigger rectangle.

Area = Length × Width

Area = (4) (3)

Area = 12 ft².

Now, let's find the area of the smaller rectangle.

Area = Length × Width

Area = (4) (1)

Area = 4 ft².

Finally, we need to add the areas of both of the figures to fo find the area of the whole figure.

12 ft² + 4 ft² = 18 ft².

Answer:

[tex]\large\boxed{f(x)-g(x)=x^2+2x+6}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+1\\\\g(x)=2x-5\\\\f(x)-g(x)=(x^2+1)-(2x-5)\\\\f(x)-g(x)=x^2+1-2x-(-5)\\\\f(x)-g(x)=x^2+1-2x+5\qquad\text{combine like terms}\\\\f(x)-g(x)=x^2+2x+(1+5)\\\\f(x)-g(x)=x^2+2x+6[/tex]

Answer:

Step-by-step explanation:

[tex]x = x^{2} - 20[/tex]

[tex]x^{2} - x - 20 = 0[/tex]

[tex](x - 5)(x + 4) = 0[/tex]

[tex]x = -4, 5[/tex]

The two numbers are 5 and -4.

To find a number that is 20 less than its square, we can set up an equation where the number is represented by x. The equation then becomes x = x^2 - 20.

By re-arranging the equation, we get x^2 - x - 20 = 0. This is a quadratic equation which can be solved by factoring or using the quadratic formula.

The factored form of the equation is (x - 5)(x + 4) = 0. Therefore, the solutions for x are 5 and -4, meaning 5 and -4 are the numbers that are 20 less than their squares.

Answer:

Part 1) The number is 0.008

Part 2) The number is 0.05

Step-by-step explanation:

Part 1) we have

0.08 is ten times great as ...

That means----> 10 times a number is equal to 0.08

Let

x -----> the number

To find the number divide 0,08 by ten  

so

0.08=10x

x=0.08/10

x=0.008

Part 2) we have

0.5 is ten times great as...

That means----> 10 times a number is equal to 0.5

Let

x -----> the number

To find the number divide 0,5 by ten  

so

0.5=10x

x=0.5/10

x=0.05

Answer:

If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases

Step-by-step explanation:

Let

x ----> the number of pieces of fruit

y ----> the total pay for the purchase

we know that

Todd

[tex]y=1.25x+4[/tex] ----> equation A (peaches plus a carton of vanilla yogurt)

Agnes

[tex]y=1.00x+6[/tex] ----> equation B (apples plus a jar of honey)

Equate equation A and equation B and solve for x

[tex]1.25x+4=1.00x+6[/tex]

[tex]1.25x-1.00=6-4[/tex]

[tex]0.25x=2[/tex]

[tex]x=8\ pieces\ of\ fruits[/tex]

therefore

If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases