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Elena L [17]
3 years ago
5

Given C=n+15, determine the value of C when n=4

Mathematics
2 answers:
Masja [62]3 years ago
8 0

Answer:

19

Step-by-step explanation:

If N=4 and the problem is C= N+15 that means you add 4 to 15 and then get 19 which will be your answer for C. You can also check this by subtracting 19-15 or 19-4!!! I hope this helps!!! Have a great day whom ever you are

puteri [66]3 years ago
6 0

Answer: c=19 and n=4

please mark as brainliest  if it helped

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Among all pairs of numbers (x,y) such that 3x+y=15, find the pair for which the sum of squares, x^2+y^2, is minimum. Write your
Dvinal [7]

Answer:

Minimum value occurs at (x, y) = (-5,0)

Step-by-step explanation:

Given: 3x + y =15

Rewriting this equation to Slope - Intercept form, we get:

y = -3x + 15

Squaring both sides,

$ y^2 = (-3x + 15)^2 $

$ \implies y^2 = 9x^2 - 90x + 225 $

Substituting in $ x^2 + y^2,$ we get:

$ x^2 + 9x^2 - 90x + 225 $

= $ 10x^2 - 90x + 225 $

Comparing this equation with $ ax^2 + bx + c $ we get $ a =10 $ and $ b = - 90 $.

The minimum value occurs at the axis of symmetry given by $ x = \frac{-b}{2a} $.

Therefore, x = - $ \frac{-90}{2.10} $

$ \implies x = 5 $

If x = 5, y = -3(5) + 15 = 0

Thus, the point becomes (5,0) where it is minimum.

5 0
4 years ago
Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
Read 2 more answers
Suppose the average math SAT score for students enrolled at local community college is 490.4 with a standard deviation of 63.7.
lakkis [162]

Answer:

Option B) 9.1      

Step-by-step explanation:

We are given the following in the question:

Average score = 490.4

Standard deviation = 63.7

Sample size, n = 49

Formula:

=\dfrac{\sigma}{\sqrt{n}}

Putting values, we get,

Standard error =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{63.7}{\sqrt{49}} = 9.1

Thus, the correct answer is

Option B) 9.1

8 0
3 years ago
(x² + x - 17) ÷ (x - 4)
ludmilkaskok [199]
Answer:
(X^2 + X-17) /x-4
5 0
3 years ago
PlEASE HELP ASAP!!!! USATEST PREP DUE TODAY!!!Please No Links!!!
dedylja [7]

okey no links here u go

Answer:

2

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= [16/8+20] / 11

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