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3 years ago

What is the true solution to 2 In 4x= 2 In 8?

Mathematics

1 answer:

Rzqust [24]3 years ago

7 0

Answer:

Step-by-step explanation:

2ln4x=2ln8

4x=8

x=8/4

x=2

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The vertices of rhombus DEFG are D(1,4), E(4,0), F(1,-4), and G(-2,0).

Usimov [2.4K]

Answer: 20 units

Step-by-step explanation:

4 0

3 years ago

Calculate the variance for the data set. Round your answer to the nearest hundredth. Show all of your steps. { 10 , 19 , 21 , 28

GrogVix [38]

Answer:

Variance of the given data = 31.143

Explanation:

Variance, $\sigma^2=\frac{1}{n} \sum_{i=1}^{n}(x_i-\mu)^2$ , where n is the number of observations, μ is the mean and $x_i$ is the observations made.

Number of observations, n = 7

Mean, μ = $\frac{10+19+21+28+12+20+16}{7} = 18$

$\sum_{i=1}^{n}(x_i-\mu)^2=(10-18)^2+(19-18)^2+(21-18)^2+(28-18)^2+(12-18)^2+(20-18)^2+(16-18)^2\\ \\ \sum_{i=1}^{n}(x_i-\mu)^2=64+1+9+100+36+4+4=218$

$\sigma^2=\frac{1}{n} \sum_{i=1}^{n}(x_i-\mu)^2=\frac{218}{7} =31.143$

So variance of the given data = 31.143

8 0

3 years ago

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the vol

denis-greek [22]

convert the feet to inches. then multiply all 3 numbers to get your answer

1.7 feet = 1.7 x 12 = 20.4 inches

19 x 20.4 x 6 = 2325.6 cubic inches

3 0

4 years ago

A plane leaves airport A and travels 570 miles to airport B on a bearing of Upper N 32 degrees Upper E. The plane later leaves a

Karolina [17]

Answer:

769.46 miles

Step-by-step explanation:

Please have a look at the photo attached in this answer

The missing part of the angle is 32 degrees, so the total angle of B is:

32 + 73 = 105 degrees.

Let x is the distance from airport A to airport C to the nearest tenth of a mile, we use cosine law to find x:

$x^{2}$ = $570^{2} + 390^{2}$ - 2(570)(390)cos(105)

<=> $x^{2}$ = 592070

<=> x = $\sqrt{592070}$ = 769.46 miles

5 0

4 years ago

If ABCD is a parallelogram, m

exis [7]

Answer:

ABCD are the first 4 letters ina alphabet sooooo brooo wheres the parallelogram??

Step-by-step explanation:

4 0

3 years ago