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3 years ago

I need the answers for those IMMEDIATELY ! Thank you!

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Answer:

Hope this helped.

Step-by-step explanation:

2:x=2y+20 y=1/2x-10

4:x=4/5y+15/5 y=5/4x-4

6:x=-2y+10 y=-1/2x+5

8:x=-7/3y+100/3 y=-3/7x+100/7

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Here are the ingrediants needed make 8 pancakes.

vazorg [7]

I think Craig would need 7.5g of butter

8 0

3 years ago

Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

2 years ago

X<br> Combine like terms:<br> 10k - 2k + 7s2 - 32

Free_Kalibri [48]

Answer:

$7s^{2}$ + 8k - 32

4 0

3 years ago

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

8 0

3 years ago

First, find the volume for each bottle. Use 3.14 for pie or the pie button and round to the nearest hundredth. Volume of cylinde

marshall27 [118]

the volume of the cylinder is 572.27 cm³

Explanation:

Given:

radius of the cylinder = 4.5cm

height = 9cm

To get the volume of the cylinder, we will use the formula:

$\begin{gathered} Volume\text{ = \pi r^^b2h} \\ where\text{ \pi= 3.14} \\ r\text{ = radius, h = height} \end{gathered}$ $\begin{gathered} Volume\text{ of the cylinder = 3.14 }\times\text{ 4.5}^2\text{ }\times\text{ 9} \\ Volume\text{ of the cylinder = 3.14 }\times\text{ 182.25} \\ \\ Volume\text{ of the cylinder = 572.265 cm}^3 \end{gathered}$

To the nearest hundredth, the volume of the cylinder is 572.27 cm³

3 0

1 year ago