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Snowcat [4.5K]
3 years ago
11

5x10^1

Mathematics
1 answer:
____ [38]3 years ago
5 0
1. 50
2. 5
3. 0.5
4. 0.05
5. 0.005

I hope you see the pattern here . When multiplying the exponent (the small number near the 10) determines the number of zeros to the RIGHT . When dividing the number determines how many zeros to the LEFT usually resulting in a decimal. This is called scientific notation.

Hope this helps!:)
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Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that
True [87]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}      And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-5-7}{4-(-2)}   (two negative signs cancel each other out and become positive)

m=\frac{-5-7}{4+2}

m=\frac{-12}{6}     Simplify the fraction

m = -2        

The slope is -2, so the parallel line's slope is also -2.

Your answer is C

3 0
3 years ago
There are 48 female performers in a dance recital. The ratio of men to women is 5:6. How many men are in the dance recital?
Rainbow [258]

Since you said men to women, there are 5 men in the dance recital and 6 women in the dance recital.

1. Look how the problem states. Ex: Ratio of men to women.

2. Look at the ratio. 5:48.

3. We know that there are 48 female performers at the dance recital.

So, there are 5 men at the dance recital.

5 0
3 years ago
Recall that two angles are complementary if the sum of their measures is​ 90°. find the measures of two complementary angles if
maxonik [38]
If one angle is 8 times bigger than the other, the bigger angle's measure would be 8x and the smaller angle's measure would be x. 8x+x=90. This simplifies to 9x=90. To find x, you divide 9 from 90, making x=10. This means the smaller angle (Angle 2) is 10° and the bigger angle's (Angle 1) is 8 times 10, so it is 80°.
8 0
3 years ago
if the exchange rate of euro to the us dollar is 1 euro = $1.13, how much would you receive if you wished to exchange 235 euros?
Alinara [238K]
It would be $265.55
6 0
3 years ago
Read 2 more answers
student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
2 years ago
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