78+24-11+56+23-117+1

HELP ME !

Aloiza [94]

Answer:

40

Step-by-step explanation:

8 muffins=1 cup of flour.

8 muffins × 5 cups = 40

3 0

3 years ago

Find a power series representation for the function. (Assume a>0. Give your power series representation centered at x=0 .)

melamori03 [73]

Answer:

Step-by-step explanation:

Given that:

$f_x = \dfrac{x^2}{a^7-x^7}$

$= \dfrac{x^2}{a^7(1-\dfrac{x^7}{a^7})}$

$= \dfrac{x^2}{a^7}\Big(1-\dfrac{x^7}{a^7} \Big)^{-1}$

since $\Big((1-x)^{-1}= 1+x+x^2+x^3+...=\sum \limits ^{\infty}_{n=0}x^n\Big)$

Then, it implies that:

$\implies \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\Big(\dfrac{x}{a} \Big)^{^7} \Big)^n$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x}{a} \Big)^{^{7n}}$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x^{7n}}{a^{7n}} \Big)}$

$\mathbf{= \sum \limits ^{\infty}_{n=0} \dfrac{x^{7n+2}}{a^{7n+7}} }}$

7 0

3 years ago

Please answer this question, 27 points and brainliest!

Sati [7]

Answer:

the coordinates of the center of rotation is (4 , 3)

Step-by-step explanation:

*The line which passes through points (4 , 1) and (4 , 5) is vertical because the points have same x coordinates and its length is 5 - 1 = 4

*The line which passes through points (2 , 3) and (6 , 3) is horizontal because the points have same y coordinates and its length is 6 - 2 = 4

*These two lines intersect each other at their mid-point and this mid-point is the center of rotation

*The mid point is $(\frac{4+4}{2},\frac{5+1}{2} )= (4,3)$

or $(\frac{2+6}{2},\frac{3+3}{2}=(4,3)$

6 0

3 years ago

A carpenter used 9 1/2 ft of cedar for every 7 2/3 ft of redwood for a construction project. If the carpenter uses 4 3/4 ft of c

german

We can make a proportion to represent the woods used. On the top is cedar, and on the bottom is the redwood. On the left is what was used the first time, on the right is the current problem.

Before making the proportion, let's do a preliminary step and write all the fractions as improper fractions. We do this because we can't directly multiply or divide mixed numbers, but we can with fractions.

$9\frac{1}{2} = \frac{2 * 9 + 1}{2} =\frac{19}{2}$ <-- Multiply denominator times whole number and add the leftover fraction.

$7\frac{2}{3} = \frac{3 * 7 + 2}{3} =\frac{23}{3}$

$4\frac{3}{4} = \frac{4 * 4 + 3}{4} =\frac{19}{4}$

Now we set up the proportion. We solve it by cross multiplying.

$\frac{Cedar}{Redwood} =\frac{Cedar}{Redwood}$

$\frac{19/2}{23/3} =\frac{19/4}{R}$

$\frac{19}{2} R = \frac{23}{3} *\frac{19}{4}$

It may seem right to simplify the right side, but let's leave it alone. We divide both sides by 19/2.

$R = (\frac{23}{3} *\frac{19}{4} ) / \frac{19}{2}$

Dividing by a fraction means multiplying by its reciprocal. Thus,

$R = \frac{23}{3} *\frac{19}{4} * \frac{2}{19}$

Here's where not simplifying really pays off. We can simplify NOW and the terms go away more easily. The 19s go away and simplify to 1, and the 2 and 4 simplify to 1 and 2. All this happens by dividing out common numbers.

$R = \frac{23}{3} *\frac{1}{2} * \frac{1}{1}$