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Ronch [10]
3 years ago
6

Evaluate 9 m+7 n if m=-7 and n=4

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

-35

Step-by-step explanation:

9m+7n

m=-7

n=4

Plug the numbers into the equation

9(-7)+7(4)

-63+28

=-35

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2p^2+2p-4 solve using the AC method or the sum product method .. PLEASE HELP thank you :)))​
Leviafan [203]

Answer: 2(p+2) * (p-1)

Step-by-step explanation:

2p^2 + 2p - 4

2 (p^2 + p - 2)

2 (p^2 + 2p - p - 2)

2(p x (p+2) - (p+2)

2 (p+2) * (p-1)

3 0
3 years ago
(figure: capital and labor xii) which of the following statements is (are) true? a graph titled graph (a) plots labor (l) along
trapecia [35]

Option (A) is the correct answer: Panel a illustrate Increasing Return to Scale and panel b illustrate Constant Return to Scale.

<u>Return to Scale:</u>

It is the Variation or change in productivity that is the outcome from a proportionate increase of all the input.

I<u>ncreasing Return to Scale:</u>

An increasing return to scale occurs when the output increase by a larger proportion than the increase in inputs during the production process. For Example: if input is increased by 3 times but output increases by 3.75 times, then the firm or economy has experienced an increasing return to scale. This increase is due to many reasons like division external economies of scale.

<u>Constant Return of Scale:</u>

Constant Return of Scale refers to the production situation in which output increases exactly in the same proportion in which factors of production are increased. In simple words, if factors of production are doubled output will also be doubled. In this case, internal and external economies are exactly equal to internal and external diseconomies. This situation arises when after reaching a certain level of production, economies of scale are balanced by diseconomies of scale. For Example:  A car wash in which one car wash takes 30 minutes. If there is one wash space and two workers running two 8 hours shifts total product would be 32.

Learn more about Increasing rate of Scale:

brainly.com/question/23776775

#SPJ4

3 0
1 year ago
Hey can you please help me posted picture of question
Zinaida [17]
The inverse functions have a property that the composition of two inverse functions always results is x. 

From the given options, only the pair given in option B result in the composition equal to x.

F(x)= \frac{12}{x}-18 \\  \\ &#10;G(x)= \frac{12}{x+18} \\  \\ &#10;F(G(x))= \frac{12}{ \frac{12}{x+18} }-18 \\  \\ &#10;F(G(x))= \frac{12(x+18)}{12}-18 \\  \\ &#10;F(G(x))=x+18-18=x

This proves, F(x) and G(x) are inverse of each other.

So the answer to this question is Option B
7 0
3 years ago
PLEASE HELP ASAP
xz_007 [3.2K]
Short answer: Radius of new circle = sqrt(6) * the original radius
 
Area = pi * r^2
A1 = 6*Area = pi * (k * r) ^2
A1 = 6*Area = k^2 * pi * r^2 Set up a proportion.

Proportion
\frac{A}{6*A} =  \frac{ \pi * r^2}{ \pi * k^2 * r^2}

Comment
The As Cancel, the pis cancel the r^2 cancel.

1/6 = 1 / k^2  Cross multiply
k^2 = 6 Take the square root of both sides.
sqrt(k^2) = sqrt(6)
k = sqrt(6)

Conclusion
The radius increases by a factor of sqrt(6) times.

Discussion. You may not like this method very much, but you will do a lot of it in Physics or Chemistry. You may prefer the second method.

Step One
Find the area of the original circle
Area = pi * r^2
r = 10.9
pi = 3.14
Area = pi * r^2
Area = 3.14 * 10.9^2
Area = 3.14 * 118.81
Area = 373.1

Step 2
Multiply this area by 6
Area1 = 6 * Area
Area1 = 6 * 373.1
Area1 = 2238.38

Step 3
Find the radius of the bigger circle
Area1 = 2238.38
pi = 3.14
r = ????

Area1 = pi * r^2
2238.38 = 3.14 * r^2 Divide both sides by 3.14
2238/3.14 = r^2
r^2 = 712.86              Take the square root of both sides.
sqrt(r^2) = sqrt(712.86)
r = 26.6994

Step 4
Divide by the original r
r/10.9 = 26.6994 / 10.9 = 2.44948

Here's where this get's a little messy. How do you know what to do with this. Perhaps just saying that the new radius = the original radius * 2.44958

But try taking the square root of 6 to see what happens.
sqrt(6) = 2.449489 is what you get, so the radius increases by sqrt(6) in size.

Comment
No matter which way you do this, it looks like a messy problem just because square root 6 is not easily recognized.
3 0
4 years ago
Find x.
Vadim26 [7]

The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other

<h3>What is a composite figure?</h3>

A composite figure is a figure that is produced from the combination of two geometric shapes together.

The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.

For the left-side right-angled triangle, we have:

13² = h² + 5²

h² = 13² - 5²

h = √(169-25)

h = 12

Recall from the diagram that:

h² = pq

  • If p = 5 and q = x

∴

12² = 5x

x = 144/5

x ≅ 28 millimeters

Learn more about composite figures here:

brainly.com/question/15981553

#SPJ1

8 0
3 years ago
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