4. The elves at the North Pole could make 23 gifts per minute. How many gifts could they In make in 2 hours?

This is due next period. I need answers and a small explanation/work.

vlada-n [284]

1) Cancel out the common factor which in this case is 8 $\frac{16m^2}{24m^7} = \frac{2m^2}{3m^7}$

2)First apply exponent rule $\frac{n(n+7)}{4n(n+7)}\\$ now cancel out the common factors which are n and n+7 leaving you with $\frac{1}{4}=0.25$

3)Factorize $\frac{(x+2)(x-12)}{x+2}$ cancel out the common factor in this case x+2 leaving you with $x-12$

4) Factorize $\frac{(-3w+1)(3w-1)}{4(3w-1)}$ cancel out the common factor in this case 3w-1 leaving you with $\frac{-3w+1}{4}$

5) In the picture

6)In the picture

I am REALLY tired sorry I wont be able to do the rest, I hope these are helpful :)

6 0

3 years ago

What are the values of a 1 and r of the geometric series? 1 3 9 27 81 a 1 = 1 and r = one-third a 1 = one-third and r = 1 a 1 =

Paha777 [63]

Answer:

a₁ = 1

r = 3

Step-by-step explanation:

Since it’s a geometric series then

a₁ = 1 ( because 1 is the first term of the series)

3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.

Step-by-step explanation:

6 0

2 years ago

If angle YWZ = 17, what is angle WXY?

marusya05 [52]

We know that

step 1
if ∡YWZ=17°
then
∡XWZ=17°*2-----> 34°----> because triangle XWY and triangle YWZ are congruents

step 2
∡WXY=∡WZY-------> because triangle XWY and triangle YWZ are congruents
we know that
the sum of the internal angles of a triangle is 180 degrees
so
180°=∡XWZ+2*∡WXY---------> ∡WXY=[180-∡XWZ]/2
∡WXY=[180-34°]/2-------> ∡WXY=73°

the answer is
∡WXY=73°

5 0

3 years ago

The nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the

lora16 [44]

Answer:

We conclude that the sodium content is same as what the nutrition label states.

Step-by-step explanation:

We are given that the nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium.

The FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams.

Let $\mu$ = average sodium content.

So, Null Hypothesis, $H_0$ : $\mu$ = 1100 milligrams {means that the sodium content is same as what the nutrition label states}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 1100 milligrams {means that the sodium content is different from what the nutrition label states}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}$ ~ $t_n_-_1$

where, $\bar X$ = sample average sodium content = 1088.64 milligrams

s = sample standard deviation = 234.12 milligrams

n = sample of packages of Oriental Spice Sauce = 40

So, test statistics = $\frac{1088.64-1100}{\frac{234.12}{\sqrt{40}}}$ ~ $t_3_9$

= -0.307

The value of z test statistics is -0.307.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 0.05 significance level the t table gives critical values of -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the sodium content is same as what the nutrition label states.

3 0

4 years ago

Whitch fraction is equivalent to 5/20

hichkok12 [17]

1/4 is 5/20 simplified

8 0

4 years ago

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4. The elves at the North Pole could make 23 gifts per minute. How many gifts could they In make in 2 hours? ​

4. The elves at the North Pole could make 23 gifts per minute. How many gifts could they In make in 2 hours?