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julia-pushkina [17]
3 years ago
9

13 - 8m = 21 por favor ayuda

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0
Si estás tratando a encontrar M este es
13-8m=21
8m=8
M=1
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The point P(18, 24) is on the terminal side of θ. Evaluate sin θ.
serious [3.7K]
<span>sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse  = sqrt (18^2 + 24^2)
</span><span>Hypotenuse = 30
</span><span>sin θ = 24/30
</span><span>sin θ = 4/5
</span>θ = sin^-1 (4/5) 
<span>θ = 53.13 degrees</span>
7 0
3 years ago
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The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
marissa [1.9K]

Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

5 0
2 years ago
A Regional College uses the SAT to admit students to the school. The university notices that a lot of students apply even though
Aliun [14]

Answer:

0.191 is the probability that a group of 12 randomly selected applicants would have a mean SAT score that is greater than 525 but below the current admission standard of 584.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

n = 12

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(greater than 525 but 584)

Standard error due to sampling =

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{100}{\sqrt{12}}

P(525 < x < 584) = P(\displaystyle\frac{525 - 500}{\frac{100}{\sqrt{12}}} < z < \displaystyle\frac{584-500}{\frac{100}{\sqrt{12}}}) = P(0.866 < z < 2.909)\\\\= P(z \leq 2.909) - P(z < 0.866)\\= 0.998 - 0.807 = 0.191 = 19.1\%

P(525 < x < 584) = 19.1\%

0.191 is the probability that a group of 12 randomly selected applicants would have a mean SAT score that is greater than 525 but below the current admission standard of 584.

3 0
3 years ago
What is the surface area of a cube measure 8 c/w?​
Marysya12 [62]

Answer:

512

Step-by-step explanation:

if 8 is the edge using the formula

V=a³=8³

V=512

5 0
3 years ago
How do you solve 2.25t + 5 = 13.5t + 14?
lisabon 2012 [21]

Answer:

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Step-by-step explanation:

2.25t+5=13.5t+14

        -5           -5

2.25t=13.5t+9

-13.5t   -13.5t

-11.25t=9

/11.25   /11.25

t=0.8

4 0
3 years ago
Read 2 more answers
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