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Eddi Din [679]
3 years ago
6

Given a=5 b=12 c=13 5²+12²=13²

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

a^2+b^2=a(2)^1.5

Step-by-step explanation:

im not sure, just seems right

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The automobile assembly plant you manage has a Cobb-Douglas production function given by p = 10x^0.2 y^0.8
Zepler [3.9K]

Answer:

The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

This value of Δy is not constant for a constant increase in production.

Step-by-step explanation:

We know that the production function is p = 10x^{0.2} y^{0.8}, and in the current situation p=1200 and x=130.

With this information we can calculate the actual budget level:

p_0 = 10x^{0.2} y^{0.8}\\\\1200=10*130^{0.2} y^{0.8}\\\\1200=26.47*y^{0.8}\\\\y=(1200/26.47)^{1/0.8}=45.33^{1.25}=117.62

The next year, with an increase in demand of 100 more automobiles, the production will be p_1=1300.

If we calculate y for this new situation, we have:

y_1=(\frac{p_1}{10x^{0.2}} )^{1.25}=(\frac{1300}{26.47} )^{1.25}=49.10^{1.25}=130

The budget for the following year is 130.

The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

\Delta y=y_1-y_0=130.00-117.62=12.38

This value of Δy is not constant for a constant increase in production.

3 0
3 years ago
I'm new to this and I dont really understand this
agasfer [191]

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=\sqrt{x-3}  \sqrt{x-3}

Hope I helped :)

5 0
2 years ago
Karen made 175 quarts of punch for her son and 11.3 quarts for
Alenkinab [10]

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

6 0
3 years ago
Lillian is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Lillian will ea
satela [25.4K]

Answer:

30 c + 100 m = 700

c+ m = 14

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations.

The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.

30 c + 100 m = 700

The number of movies (m) plus the number of commercials (c) is equal to 14.

c+ m = 14

The system is:

30 c + 100 m = 700

c+ m = 14

6 0
3 years ago
The population of a certain species of oak tree in a national forest declines each year by one-fourth. So, after each year, only
dolphi86 [110]

Answer: 25%

Step-by-step explanation: The question tells us that the population decreases by 1/4 every single year. That means, since 1/4 equals .25, the population decreases by 25% every year :)

7 0
3 years ago
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