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Aloiza [94]
3 years ago
8

A contractor bought 7.6 ft to the second power of sheet metal. he has used 3.7ft to the scound power so far and has ​$117 worth

of sheet metal remaining. The equation 7.6x - 3.7x =117 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?
Mathematics
1 answer:
bonufazy [111]3 years ago
8 0

Answer:

x= 30

Step-by-step explanation:

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Please help.... fast​
zloy xaker [14]

Answer:

<h2>HL</h2>

Step-by-step explanation:

It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.

I'm confident that this is the answer.

8 0
2 years ago
Consider the function ​f(x)equalscosine left parenthesis x squared right parenthesis. a. Differentiate the Taylor series about 0
dybincka [34]

I suppose you mean

f(x)=\cos(x^2)

Recall that

\cos x=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{x^{2n}}{(2n)!}

which converges everywhere. Then by substitution,

\cos(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{(x^2)^{2n}}{(2n)!}=\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n)!}

which also converges everywhere (and we can confirm this via the ratio test, for instance).

a. Differentiating the Taylor series gives

f'(x)=\displaystyle4\sum_{n=1}^\infty(-1)^n\frac{nx^{4n-1}}{(2n)!}

(starting at n=1 because the summand is 0 when n=0)

b. Naturally, the differentiated series represents

f'(x)=-2x\sin(x^2)

To see this, recalling the series for \sin x, we know

\sin(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^{n-1}\frac{x^{4n+2}}{(2n+1)!}

Multiplying by -2x gives

-x\sin(x^2)=\displaystyle2x\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n+1)!}

and from here,

-2x\sin(x^2)=\displaystyle 2x\sum_{n=0}^\infty(-1)^n\frac{2nx^{4n}}{(2n)(2n+1)!}

-2x\sin(x^2)=\displaystyle 4x\sum_{n=0}^\infty(-1)^n\frac{nx^{4n}}{(2n)!}=f'(x)

c. This series also converges everywhere. By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(-1)^{n+1}\frac{(n+1)x^{4(n+1)}}{(2(n+1))!}}{(-1)^n\frac{nx^{4n}}{(2n)!}}\right|=|x|\lim_{n\to\infty}\frac{\frac{n+1}{(2n+2)!}}{\frac n{(2n)!}}=|x|\lim_{n\to\infty}\frac{n+1}{n(2n+2)(2n+1)}

The limit is 0, so any choice of x satisfies the convergence condition.

3 0
3 years ago
Krystal hiked 109 miles last year. Tanji hiked 12 times as many miles as Krystal. How many miles did Tanji hike last year
lapo4ka [179]

Answer:

1308

Step-by-step explanation:

109 x12

8 0
2 years ago
Venti cold brew coffee has approximately
Radda [10]
The answer is:
144mg

Working out/ Explanation:
13% of 300mg = 39
39 times 4 = 156
300mg - 156mg = 144mg

Hope this helps!
Please give Brainliest!
8 0
2 years ago
Jake has $4,000 invested at 8% annual interest. He has $2,800 more to invest. At what rate
schepotkina [342]

Step-by-step explanation:

with $4,000 invested, Jake has

8% × $4,000 = $320 annually.

in order to have annual interest $628, he has to get more interest $(628-320) = $308.

the rate should be:

308/2800 × 100%

= 308 /2800 × 100%

= 11%

3 0
3 years ago
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