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Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

Answer:

the answer to the question is c

The equivalent expression to the equation is A = √ ( x² - 9 )

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = √ ( x + 3 ) .√( x - 3 )

Now , on simplifying the roots of the equation , we get

A = √ ( x + 3 ) ( x - 3 )

The value of ( a + b ) ( a - b ) = a² - b²

So , on further simplification , we get

A = √ ( x² - 9 )

Therefore , the equivalent expression of A is √ ( x² - 9 )

Hence , the equation is A = √ ( x² - 9 )

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Answer:

it c

Step-by-step explanation:

Answer:

The substance's half-life is 6.1 days.

Step-by-step explanation:

The half-life of the substance can be calculated by knowing the constant decay:  

[tex] t_{1/2} = \frac{ln(2)}{k} [/tex]                          

k: is the decay constant = 0.1133 d⁻¹

Hence, the half-life is:      

[tex] t_{1/2} = \frac{ln(2)}{k} = \frac{ln(2)}{0.1133 d^{-1}} = 6.1 d [/tex]

Therefore, the substance's half-life is 6.1 days.

I hope it helps you!          

Answer:

$525.13

Step-by-step explanation:

cost per month = total expenses /  months in a year

total expenses = fixed cost + variable cost

$2,125.10 + $4,176.43 = $6,301.53

cost per month = $6,301.53/ 12 = $525.13

Answer:

65kg.

Step-by-step explanation:

65 divided by 100 is 0.65, and then you change the 0.65 to 65kg. It's that easy!

Answer:

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]

Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]

Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Answer:

Hi! The answer to your question is 3. 27a

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

3

Step-by-step explanation:

Bodmas brakets first

Take out Common factor

Multiple

The commission rate for the given amount will be 14%.

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

To find the commission rate, we need to divide the commission earned by the amount of merchandise sold, and then express the result as a percentage.

The commission rate is given by:

Commission rate = (commission earned / amount of merchandise sold) x 100%

Substituting the given values, we get:

Commission rate = (322 / 2300) x 100%

Commission rate ≈ 0.14 x 100%

Commission rate ≈ 14%

Therefore, the commission rate is 14%.

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Answer:

your answers are in the attachment

hope it helps...

Step-by-step explanation:

Answer:

Step-by-step explanation:

so brh

Answer:

y = 1/2x + 2

Step-by-step explanation:

Answer:

60m2

Step-by-step explanation:

(12x4)+(4x3)=60

Please give brainliest if this helps :)

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

multiply 25000×12/10

and 2003-2006 is 3 years

next steps are in the attached pic

Answer:

Step-by-step explanation:

Given

Required formula and solution

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]C=2*\pi *28[/tex]

[tex]C=56\pi[/tex]

Yes, it is because the circumference is always [tex]2\pi[/tex] times the amount of the radius.

Answer:D

Step-by-step explanation:

Answer:

A. {0, 20, 40, 60, 80, 100, 120)

Step-by-step explanation:

:)

Answer:

The price of each book without sales tax

Step-by-step explanation:

Answer:D

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.

Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.

The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.

Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

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Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

9514 1404 393

Answer:

Step-by-step explanation:

In the attached, we have graphed the inequalities and the objective function line. As we might surmise by looking at the constraints,* the maximum occurs at the intersection of y=9 and 7x-y = 16, where (x, y) = (25/7, 9).

The maximum value of z is 7(25/7) +2(9) = 25 +18 = 43.

__

The graph shows all inequalities reversed. This has the effect of making the solution space white, rather than buried under 4 levels of shading. As we expect with most "maximize" problems, the feasible region vertex farthest from the origin is the one of interest.

_____

* The only upper bound on y is y ≤ 9. The only upper bound on x is 7x-y≤16. When we're maximizing some objective function with positive coefficients on the variables, these will be the boundaries of interest.

Answer:

the median is 43

Step-by-step explanation:

Answer:

if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]

Answer:

well y is 19 and x is 11

Step-by-step explanation:

all I did is add one for a while then after that I go and I put 9 + 4 which equals 13 then in between 13 is 11 so I divided 13 by 2 basically and it's just 11

Answer:

√99

Step-by-step explanation:

a power 2 = 15 power 2 + a power 2

18 power 2 = 15 power 2 + x power 2

324 = 225 + x power 2

324 - 225 = 99 + power 2

so the answer is  √99

Answer:

yes

Step-by-step explanation: