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3 years ago

a chef prepared 7 eighths pound of pasta. how many 1 fourth pound servings are in 7 eighths pound of pasta.

1 answer:

6 0

To do this, imagine 2/8 for 1/4

So, how many 2/8 are there in 7/8??

3

Therefore, there are 3 of the 1/4 lb servings
in 7 eighths pound of pasta.

Hope this helped!!

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Find the domain of the function y = 3 tan(23x)

solmaris [256]

Answer:

$\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

In other words, the $x$ in $f(x) = 3\, \tan(23\, x)$ could be any real number as long as $x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)$ for all integer $k$ (including negative integers.)

Step-by-step explanation:

The tangent function $y = \tan(x)$ has a real value for real inputs $x$ as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

Hence, the domain of the original tangent function is $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

On the other hand, in the function $f(x) = 3\, \tan(23\, x)$ , the input to the tangent function is replaced with $(23\, x)$ .

The transformed tangent function $\tan(23\, x)$ would have a real value as long as its input $(23\, x)$ ensures that $23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

In other words, $\tan(23\, x)$ would have a real value as long as $x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right)$ .

Accordingly, the domain of $f(x) = 3\, \tan(23\, x)$ would be $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

4 0

2 years ago

3/4t-2=5-1/4t slove for t pLeAsEeEe

lukranit [14]

Answer:

Step-by-step explanation:

3 0

3 years ago

The Walking Club is one of the after-school activities at Jefferson Middle School.

saveliy_v [14]

You first need to know how much miles it takes on the trail. Then you look 20 x 3 is one hour. And if the 3 group said it takes 2 hours waking for them its like this, the first group takes one hour to go thru the trail, but the second group takes and hour and half the 3 group takes 2 hours.

I wish this helps. :)

4 0

4 years ago

Multi-step K is the midpoint of JL, JL=4x-2, and JK=7. Find x, KL, and JL

ddd [48]

If K is midpoint of JL then JK = 0.5JL

JL = 4x - 2; JK = 7

The equation:
0.5(4x - 2) = 7
2x - 1 = 7 |add 1 to both sides
2x = 8 |divide both sides by 2
x = 4

JL = 4(4) - 2 = 16 - 2 = 14

KL = JK = 7

7 0

3 years ago

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring size

saw5 [17]

mean: ( 9 + 7 + 6.5 + 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 ) : 10 = 7.15Variance:(Sigma)² = ( 1.85² + 0.15² + 0.65² + 0.35² + 0.15² + 0.85² + 2.15² + 1.15² + 0.35² + 0.85² ) : 10 ≈ 1.15Answer: C ) 1.15

5 0

3 years ago