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Sladkaya [172]
3 years ago
12

Joy is reading a 352 page novel for her summer reading project on Monday she reads 3/8 of the novel on Tuesday she reads 28 page

s on Wednesday she reads 1/4 of the novel how many more pages does joy have until she finishes the novel
Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Answer:

104 Pages

Step-by-step explanation:

on Monday she reads 3/8 of the novel which means

\frac{3}{8} x 352 = 132 pages

on Tuesday she reads 28 pages, doesn't require any calculations.

on Wednesday she reads 1/4 of the novel,

\frac{1}{4} x 352 = 88

Just add all of that,

132+28+88=248 Pages

Subtract the novel pages by the read pages value

352-248=104pages.

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
Lynna [10]

Answer:

would multiply everything by the common denominator of 4

-3/4m - 1/2 = 2 + 1/4m....multiply everything by 4 and u get :

-3m - 2 = 8 + m

that will get rid of the fractions....but u could multiply by -4 ...giving u :

3m + 2 = -8 - m

Step-by-step explanation:

7 0
2 years ago
Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x) = sin x, c = 3π/4
anyanavicka [17]

Answer:

\sin(x) = \sum\limit^{\infty}_{n = 0} \frac{1}{\sqrt 2}\frac{(-1)^{n(n+1)/2}}{n!}(x - \frac{3\pi}{4})^n

Step-by-step explanation:

Given

f(x) = \sin x\\

c = \frac{3\pi}{4}

Required

Find the Taylor series

The Taylor series of a function is defines as:

f(x) = f(c) + f'(c)(x -c) + \frac{f"(c)}{2!}(x-c)^2 + \frac{f"'(c)}{3!}(x-c)^3 + ........ + \frac{f*n(c)}{n!}(x-c)^n

We have:

c = \frac{3\pi}{4}

f(x) = \sin x\\

f(c) = \sin(c)

f(c) = \sin(\frac{3\pi}{4})

This gives:

f(c) = \frac{1}{\sqrt 2}

We have:

f(c) = \sin(\frac{3\pi}{4})

Differentiate

f'(c) = \cos(\frac{3\pi}{4})

This gives:

f'(c) = -\frac{1}{\sqrt 2}

We have:

f'(c) = \cos(\frac{3\pi}{4})

Differentiate

f"(c) = -\sin(\frac{3\pi}{4})

This gives:

f"(c) = -\frac{1}{\sqrt 2}

We have:

f"(c) = -\sin(\frac{3\pi}{4})

Differentiate

f"'(c) = -\cos(\frac{3\pi}{4})

This gives:

f"'(c) = - * -\frac{1}{\sqrt 2}

f"'(c) = \frac{1}{\sqrt 2}

So, we have:

f(c) = \frac{1}{\sqrt 2}

f'(c) = -\frac{1}{\sqrt 2}

f"(c) = -\frac{1}{\sqrt 2}

f"'(c) = \frac{1}{\sqrt 2}

f(x) = f(c) + f'(c)(x -c) + \frac{f"(c)}{2!}(x-c)^2 + \frac{f"'(c)}{3!}(x-c)^3 + ........ + \frac{f*n(c)}{n!}(x-c)^n

becomes

f(x) = \frac{1}{\sqrt 2} - \frac{1}{\sqrt 2}(x - \frac{3\pi}{4}) -\frac{1/\sqrt 2}{2!}(x - \frac{3\pi}{4})^2 +\frac{1/\sqrt 2}{3!}(x - \frac{3\pi}{4})^3 + ... +\frac{f^n(c)}{n!}(x - \frac{3\pi}{4})^n

Rewrite as:

f(x) = \frac{1}{\sqrt 2} + \frac{(-1)}{\sqrt 2}(x - \frac{3\pi}{4}) +\frac{(-1)/\sqrt 2}{2!}(x - \frac{3\pi}{4})^2 +\frac{(-1)^2/\sqrt 2}{3!}(x - \frac{3\pi}{4})^3 + ... +\frac{f^n(c)}{n!}(x - \frac{3\pi}{4})^n

Generally, the expression becomes

f(x) = \sum\limit^{\infty}_{n = 0} \frac{1}{\sqrt 2}\frac{(-1)^{n(n+1)/2}}{n!}(x - \frac{3\pi}{4})^n

Hence:

\sin(x) = \sum\limit^{\infty}_{n = 0} \frac{1}{\sqrt 2}\frac{(-1)^{n(n+1)/2}}{n!}(x - \frac{3\pi}{4})^n

3 0
2 years ago
What is the slope of the line that passes through the points (4, 5) and (12, 7)?
blondinia [14]

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

3 0
2 years ago
A cylindrical juice container has the dimensions shown below.
Savatey [412]

Answer:

C is the answer

Step-by-step explanation:

First find the area of the circle -

Use pi times r^2

Since the answers are in pi form, we just need to do the "r^2" part. 3 is the radius, so 3 x 3 = 9. Now that we have found the area of the circle, we will need to multiply the area of the circle by the height of the cylinder. (9pi)(9) = 81pi cubic units. 81pi cubic units is the answer.

8 0
3 years ago
Solve by elimination:<br> 2x + 4y = 34<br> x+4y = 27<br> A (7,-5)<br> B (6,6)<br> (7,5)<br> (5,7)
julsineya [31]

Answer:

(7,5)

Step-by-step explanation:

{2x + 4y = 34

{4y = 27 - x

2x + 27 - x = 34

x=7

4y = 27 - 7

y = 5 so the answer is ( 7,5)

3 0
3 years ago
Read 2 more answers
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