Which procedure correctly simplifies the expression below?

The Reunion Tower is one of the most recognizable landmarks in Dallas, Texas due to the giant sphere that sits atop the structur

ValentinkaMS [17]

The volume of a sphere uses the following formula:

$V = \frac{4}{3}\pi r^{3}$

Because the question asks to use 3.14 in place of pi, the formula will now look like this:

$V = (\frac{4}{3})(3.14)r^{3} = 4.18\overline{66} r^{3}$

We are given a diameter of 118 feet. The radius is half of the diameter, so divide the diameter by 2 to find the radius:

$118 \div 2 = 59$
$r = 59$

Plug this value into the formula, and solve with a calculator:

$4.18\overline{66} \times 59^3 = 4.18\overline{66} \times 205379 = 859853.413$

Although our result is one cubic foot off, the answer is A. 859,852ft^3.

(859,852 is the result if the constant in the given formula is 4.18666, but the result with infinitely repeating numbers is 859,853.)

6 0

2 years ago

Write the point slope equation of the line through (7,-2) with slope of 1/2.

ahrayia [7]

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

4 0

2 years ago

Help!! Which is the correct answer?

kakasveta [241]

7300-5500=1800 needs to come from salespeople. To make at least 7300, the salespeople need to make at least 1800, which means:
300 x number of people >= 1800
Number of people >= 6
C is correct

3 0

2 years ago

Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 8x+4 intersect are the solutions o

Luda [366]

Part 1)
We have two lines: y = 2-x and y = 8x+4
Given two simultaneous equations that are both required to be true.
the solution is the points where the lines cross
Which is where the two equations are equal
Thus the solution that works for both equations is when
2-x = 8x+4
because
where that is true is where the two lines will cross and that is the common point that satisfies both equations.

Part 2) Make tables to find the solution to 2−x = 8x+4. take the integer values of x between −3 and 3

see the attached table
The table shows that none of the integers from [-3,3] work because in no case does
2-x = 8x+4

To find the solution we need to rearrange the equation to the form x=n
2-x =8x+4
8x+x=2-4
9x=-2
x=-2/9

The only point that satisfies both equations is
where
x = -2/9
Find y:
y = 2-x = 2 - (-2/9) = 2 + 2/9 = 20/9
Verify we get the same in the other equation
y = 8x+4 = 8(-2/9) + 4 = 20/9
Thus the only actual solution, being the point where the lines cross,
is the point (-2/9, 20/9)------> (-0.22,2.22)

Part 3) how can you solve the equation 2−x = 8x+4 graphically?
The point on the graph where the lines cross is the solution to the system of equations

using a graph tool
see the attached figure

the solution is the point (-0.22,2.22)

4 0

3 years ago

Evaluate the expression when m=7. 2 m+7 whats the answer giving brainliest

Nikolay [14]

Answer:

.2

Step-by-step explanation:

when the slope is 7.2 you subtract

3 0

3 years ago