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3 years ago

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Mathematics

2 answers:

Ivanshal [37]3 years ago

8 0

6x^5 - 5x^4 + 6x^3 - x^2 + 12x - 31

The only like terms are the 0 exponent place.

kaheart [24]3 years ago

7 0

Answer:

$6x^5-5x^4+6x^3-x^2+12x+-31$

Step-by-step explanation:

The question is to simplify (add) the expression shown below:

$(-5x^4+6x^3-43)+(6x^5-x^2+12x+12)$

<em>We can get rid of the parenthesis and add like terms:</em>

$(-5x^4+6x^3-43)+(6x^5-x^2+12x+12)\\=-5x^4+6x^3-43+6x^5-x^2+12x+12\\=6x^5-5x^4+6x^3-x^2+12x+12-43\\=6x^5-5x^4+6x^3-x^2+12x+-31$

<em>standard form means to keep the terms in descending order of powers, which is already shown.</em>

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A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is use

Elodia [21]

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

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Hope this helped!

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3 years ago

(7, 5) and (-3, 4) written in slope intercept form

Rom4ik [11]

Answer:

y = x/10 + 43/10

Step-by-step explanation:

y - y1/ x - x1 = y2 - y1/ x2 - x1

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y - 4 / x + 3 = 1/10

10(y - 4) = x + 3

10y - 40 = x + 3

10y = x + 43

y = x/10 + 43/10

8 0

3 years ago

The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:

Semenov [28]

Answer:

Step-by-step explanation:

Use a calculator with built-in statistical functions. The function applying here is normcdf(, the "cumulative density function."

(a) The percentage of values lying between 138 and 162 is

norm(138,162, 150, 12), which comes out to 0.683, or 68.3%.

(b) Find norm(126, 174, 150,12): 0.945, or 94.5%

(d) Find norm(162, 174,150,12): 0.136, or 13.6%

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3 years ago

Read 2 more answers

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if

stealth61 [152]

Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

Volume of the tent = 36 $feet^3$

To find the height of the tent.

Solution:

Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

$V=\frac{1}{2}\times l\times w\times h$

where $l$ represents length, $w$ represents width and $h$ represents height of the prism.

Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

$36=\frac{1}{2}\times 6\times 4\times h$

Simplifying.

$36=12h$

Dividing both sides by 12.

$\frac{36}{12}=\frac{12h}{12}$

$3=h$

∴ $h=3$

Thus, the height of the tent = 3 feet

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4 years ago

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Dr. Jon planned to reward his class with candy because everyone got a A on the test. He surveyed every 4th student that entered

USPshnik [31]

This is an example of a systematic sample.

Dr. Jon developed a system in order to get a random sample. His plan was to survey the 4th student that entered his classroom.

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3 years ago