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Sphinxa [80]
4 years ago
5

What index of m will be 1/m​

Mathematics
1 answer:
Mashcka [7]4 years ago
8 0

Answer:

-1.

Step-by-step explanation:

1/m = m^-1.

We can show this is correct if we simplify the following:

m^2 / m ^3  =  m * m / m * m* m = 1/m

By the law of indices: m ^2 / m^3 = m^(2-3) = m^-1.

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Isabel’s car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas how many miles can Isabel drive on a full tank o
bagirrra123 [75]

Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas

<em><u>Solution:</u></em>

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find: Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.1 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

1 \times x = 15.1 \times 33.5\\\\x = 505.85

Thus Isabel can drive 505.85 miles on a full tank of gas

6 0
4 years ago
HELP ASAP PLZ &amp;THANK YOU :)
Andre45 [30]

The standard form:

Ax+By=C

The slope-intercept form:

y=mx+b

m - slope

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

b - y-intercept (0, b).

We have the point (0, 43) → b= 43.

Next point (2, 55). Substitute to the slope formula:

m=\dfrac{55-43}{2-0}=\dfrac{12}{2}=6

Therefore we have:

y=6x+43      <em>subtract 6x from both sides</em>

\boxed{-6x+y=43}


8 0
3 years ago
What is the value of k in y = kx, if y = 12 when x = 24?
Brrunno [24]

Answer:

k = 0.5

Step-by-step explanation:

Substitue y = 12, x = 24 into y = kx.

12 = k × 24

24k = 12

k = 12 ÷ 24

k = 0.5 (final answer)

6 0
3 years ago
Read 2 more answers
A hi school is conducting a survey to see how many students have part time jobs. Would this sample be biased or unbiased?
nalin [4]
It would be biased because one would assume that students can get to school by means other than those that put them 8n the parking lor. (Parking lot = car drivers who would be the only students sampled.). Others may ride to school by either parent or school bus who could drop them off somewhere else or possibly walk to school. The freshmen/sophomores would be excluded generally as they would be too young to drive altogether
8 0
3 years ago
What is the slop of the line?
miskamm [114]
The slope of the line is 2. Why? Well, see below for an explanation!

The slope of a line is found by using the formula rise/run (rise over run). This means that by starting at the initial value of the y-intercept, 3, we would count how many units away we are from the next complete point. We do so by counting from left to right, and in this case, going up and then to the right. To get from the point (0, 3) to the point (1, 5), we would move two spaces vertically along the y-axis and one space horizontally along the x-axis. Because the slope of the line is found using the formula m = rise over run, the slope would be 2/1 because we went up 2 points and to the right one. When simplifying, we will find that 2 divided by 1 equals 2. Hence, our slope is 2.

Your final answer: The slope of the line is 2/1 or 2. If you need extra help, let me know and I will gladly assist you.
8 0
2 years ago
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