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2 years ago

F(x)=4^-x after a translation 6 units up

Mathematics

1 answer:

Olin [163]2 years ago

6 0

Answer:

Step-by-step explanation:

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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

3 years ago

Is 4x=2(2x-2) A no solution or one solution or infinite solution

maxonik [38]

Answer:

no solution

Step-by-step explanation:

2 x 2x, 2 x -2, you now have 4x=4x-4, subtract 4x and 4x and you are left with -4

3 0

3 years ago

Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable

wel

This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = $\frac{999,999}{6} = 166666$
N(c₂) = $\frac{999,999}{4} = 250000$
∴N(c₁c₂) = $\frac{999,999}{24} = 41667$
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4

8 0

4 years ago

Solve the system of equations by graphing. y=−x−3 y=3+12x

zmey [24]

Answer:

Step-by-step explanation:

3 0

3 years ago

Is (-4, 2) a solution of 4x + 5y < -7?

cupoosta [38]

Answer:

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the inequality, evaluate and compare.

4(- 4) + 5(2) = - 16 + 10 = - 6 > - 7

Thus (- 4, 2 ) is not a solution

4 0

3 years ago