Let v be the volume of a sphere, s be the surface area of the sphere, and r be the radius of the sphere. which equation represents the relationship between these three measures

The simplified algebraic expression using exponents is simplifies to

To simplify the given expression using exponents, follow these steps:

Multiply Coefficients: Multiply the coefficients (-3) and (2) to get -6.

Combine Like Bases: For the variables with the same base (l and w), add the exponents when they are multiplied together.

Here, , and

Final Simplified Expression: Combine the results from steps 1 and 2 to get

Therefore, the simplified expression using exponents is simplifies to .The expression has been simplified using the rules of exponentiation. This simplification helps in reducing the complexity of the expression and making calculations easier.

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Answer:

Step-by-step explanation:

(-3)(2)= -6

(l^2w^3)(lw^4) = l^3w^7

-6l^3w^7

12√3

1) To find out the Lateral Area of this pyramid we need to calculate the area of those three equilateral triangles.

2) Hence, the Lateral Area of that pyramid is 12√3 u²

Answer:

2.84>2.77

0.01<0.6

3.69<7.19

Step-by-step explanation:

The original annual salary of Jessica is 42222

Let the original annual salary of Jessica be represented by x.

Percentage decrease in salary = 9%

Amount of the decrease = 3800

Therefore, based on the information given, the equation to solve the question will be:

9% × x = 3800

0.09 × x = 3800

0.09x = 3800

Divide both side by 0.09

0.09x/0.09 = 3800/0.09

x = 42222

Therefore, the original annual salary of Jessica is 42222.

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Answer:

Step-by-step explanation:

x = original salary

$3800 = (1-9%)x = (1-0.09)x = 0.91x

x = $3800/0.91 = $4175.82

Answer:

B. $213.30

Step-by-step explanation:

Mean amount spent on Christmas gifts = Σx / n

Where,

Σ= sum of

x= cost of each Christmas gifts

n= number of Christmas gift

Mean amount spent on Christmas gifts = Σx / n

= ( $178.622 + $247.583 + $228.454 + $176.645 + $180.226 + $268.45 ) / 6

= $1,279.98 / 6

= $213.33

Round to the nearest cent

= $213.30

Option b is the correct answer

Final answer:

The mean amount spent by six college buddies on Christmas gifts, They spent:  approximately $213.33 when rounded to the nearest cent.

Explanation:

The process is quite straightforward and involves the principles of statistics, particularly the calculation of the arithmetic mean. Here are the steps we can follow to solve this problem:

1. First, we need to find the total amount spent. We do this by adding the amounts together: $178.62 + $247.58 + $228.45 + $176.64 + $180.22 + $268.45. When we add these values, we get a total of $1,279.96.
2. Next, we need to calculate the mean, which in statistics is also commonly referred to as the average. Since there were six buddies, we divide the total amount ($1,279.96) by 6. When we do this, we find that the mean or average amount spent is approximately $213.33 (when rounded to the nearest cent).

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Answer:

6/(-2) = -3

Step-by-step explanation:

rule - when you divide positive  number by a negative number then it is negatie so with the same rule applied it is

6/-2

-3

6 + (-2) means we start at 0 and go up 6 units to arrive at 6 on the number line. In terms of a building, you can think of starting on the ground floor and then going up 6 floors. Then adding on the -2 means we go down 2 floors to arrive at 6 + (-2) = 6-2 = 4

Answer: Choice B) go up 6, then down 2