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monitta
3 years ago
12

Consider the graph shown. Determine if the graph shows two quantities that vary directly. If possible, determine the constant of

proportionality. Explain your reasoning.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0

Answer:

 the quantities do NOT vary directly

Step-by-step explanation:

A graph showing a proportional relationship is a straight line through the origin. This graph goes through (0, 100), so does NOT show a proportional relationship. y does NOT vary directly with x.

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What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4
KatRina [158]

You can use the fact that  a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got a^{-b} . then it can be rewritten as

a^{-b}  = \dfrac{1}{a^b}

It is because a^0 = 1 for any a except 0, and that  \dfrac{a^0}{a^b} = a^{0-b} = a^{-b}

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is \dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}

Putting m = -5 and n=3, we get:

\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}

Thus,

The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

Learn more about base and exponent(power) here:

brainly.com/question/847241

4 0
2 years ago
wite the answer to the problem below, using the correct number of significant figures 18.432+ 5.55 + 19.3
Marysya12 [62]
18.432 + 5.55 + 19.3 
We can notice that the last number in the process of addition is 19.3 | with 1 decimal place value / 3 significant figures |
It is better to change all values to 1 decimal place value / 3 significant figures
18.432 → 18.4
5.55 → 5.6 ( 5 rounds up )
19.3 → 19.3
Let us add:
18.4 + 5.6 + 19.3  = 43.3
If you add the original numbers, you will get
18.432 + 5.55 + 19.3 = 43.282
43.282 ≈ 43.3
8 0
3 years ago
Find the volume of a sphere with a radius of 9√6<br> Volume: __√6π
VLD [36.1K]

Answer:

648\sqrt{6}π

Step-by-step explanation:

\frac{4}{3}π(9√6)³

=\frac{4}{3}π81*6*√6

=(486*\frac{4}{3})√6π

=648√6π

5 0
3 years ago
PLZ HELP!!
valentina_108 [34]

1. The product of 58.25(4) means Lenard will have an additional $233 saved 4 weeks from now.

2. The product of 58.25(–3) means Lenard had $174.75 less 3 weeks ago.

The concept of saving $58.25 per week was adopted by Lenard.

On this note, after every week, Lenard will have $58.25 more than she had the previous week.

In essence, every week from now adds up $58.25 to Lenard's balance and every week ago takes off $58.25 from his current balance.

Read more on products:

brainly.com/question/10873737

3 0
2 years ago
Read 2 more answers
What number belongs in the blank space in the formula??
inn [45]
A.6 
The formula is An=An-1+d
6 0
3 years ago
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