Which statement is NOT true of the equation y = 0.5x?

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 <span>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.)</span>

6 0

3 years ago

1/2(6+3p)-3/4(8-10p)<br> Expand and simplify

andreev551 [17]

When you take this problem and simplify it you get 9p-3

5 0

3 years ago

Read 2 more answers

Rationalize the denominator of sqrt -9 / (4-7i) - (6-6i) ...?

Colt1911 [192]

√(- 9 ) / (( 4 - 7 i ) - ( 6 - 6 i )) = 3 i / ( 4 - 7 i - 6 + 6 i ) =
= 3 i / ( - 2 - i ) = - 3 i / ( 2 + i ) =
$= \frac{-3i}{2 + i}* \frac{2 - i}{2 - i}= \\ = \frac{-6i+3i ^{2} }{2- i^{2} }= \\ = \frac{-3-6i}{2+1}= \frac{-3-6i}{3}=$
= - 1 - 2 i

5 0

3 years ago

Anyone know what the answer is? I'd appreciate it if someone could help because im stuck

andrew-mc [135]

Answer:

100

Step-by-step explanation:

Isosceles triangle have 2 equal angles. Therefore the second angle in the triangle will also be 25.

Since the sum of angles in a triangle is 180.

180-(25x2) will give you the last angle in one of the triangles.

The other angle is identical so the angle at the top of the other triangle will also be 130.

The sum of angles in a circle is 360.

Therefore, angle x = 360-(130x2)

X= 100

7 0

3 years ago

The accompanying data contains the depth (in kilometers) and magnitude, measured using the Richter Scale, of all earthquakes

Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ = 34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth ${}$ Magnitude

0.76 ${}$ 0.84

4.93 ${}$ 0.47

8.16 ${}$ 0.35

33.58 ${}$ 1.32

21.2 ${}$ 1.61

35.03 ${}$ 4.57

10.05 ${}$ 5.52

47.91 ${}$ 1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}$

Where;

$x_i$ = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025 \right )^{2} }{8}} \approx 15.92 \ km$

Q₁ = The first quartile = The (n + 1)/4th = term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th = term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0

4 years ago