What is the value of x when 3^x=7?

What is the y-coordinate of point W? PLS ASAP

sweet [91]

<h3>Answer: -1.5</h3>

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Explanation:

Draw a horizontal line from W to the y axis. You should arrive somewhere between -1 and -2. While this isn't exact, it looks like we should arrive right at the middle of -1 and -2; therefore we should get to -1.5

The y coordinate of W is -1.5

Keep in mind this is based on the assumption we reach the halfway point. Unfortunately, W is not on any horizontal grid lines to be able to determine exactly where W is along the y axis.

8 0

2 years ago

Find the height of a rectangular prism with a 3 in by 4 in base and a volume of 20 cubic inches

Crank

Answer:

1 2/3 inches.

Step-by-step explanation:

Volume = area of the base * height so:

20 = 3*4 * h

h = 20/12

h = 1 2/3 inches.

5 0

2 years ago

A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radian

gladu [14]

Answer:

a) $S=2.57$

b) $H=203.2yard$

c) $X=121.79yards$

Step-by-step explanation:

From the question we are told that:

Angle $\theta=1.2=68.755^o$

a)

Generally the equation for Slope is mathematically given by

$S=tan \theta$

$S=tan 68.755$

$S=2.57$

b)

Given the right Angle triangle with horizontal distance $x=85yard$

Generally the equation for Height traveled is mathematically given by

$H=tan\theta*x$

$H=2.57*85$

$H=218.45$

$H=203.2yard$

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

$X=\frac{313}{tan65.75}$

$X=\frac{313}{2.57}$

$X=121.79yards$

3 0

2 years ago

Find the perimeter

MAXImum [283]

Answer:

5 + 8 + 11 + 10 = 34

Step-by-step explanation:

The lengths of the horizontal and vertical sides are easily determined. The slant side is seen to be the hypotenuse of a 3-4-5 triangle (times 2), so is 10 units long. The perimeter is the sum of the side lengths:

5 + 8 + 11 + 10 = 34

_____

You can always estimate the length of the hypotenuse of a right triangle as being between 1 and 1.5 times the length of the longest side. Here, the longest side of the right triangle whose hypotenuse is of interest is 8 units, so the hypotenuse will be between 8 and 12 units long. That means the perimeter of the blue trapezoid will be between 32 and 36, a guess of sufficient accuracy to allow you to choose the correct answer.

In a figure like this, you can also measure the hypotenuse on the grid. Using a compass, ruler, or a piece of paper with a couple of marks, you can rotate the slant length so that it corresponds to a vertical or horizontal grid line. Then the length of it is easily estimated to good accuracy. (See the second attachment.) As we said in the previous paragraph, even poor accuracy is sufficient to choose the correct answer.

5 0

3 years ago

Which of the following estimates at a 95% confidence level most likely comes from a small sample?

dusya [7]

The correct answer is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(σ/√n), where σ is the standard deviation and n is the sample size.

First we find the value of z:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(σ/√n). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.

7 0

2 years ago