Find the product
-1/2y(2y^3-8)

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\)

To find linear equations in slope-intercept form:

We're given:

First, determine the slope of the line.

\(m=\dfrac{y_2-y_1}{x_2-x_1}\) where \((x_1,y_1)\) and \((x_2,y_2)\) are points that fall on the line

⇒ Plug in the given points (2,6) and (4,16):

\(m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5\)

⇒ Therefore, the slope of the line is 5. Plug this back into the general form:

\(y=5x+b\)

Now, determine the y-intercept.

\(y=5x+b\)

⇒ Plug in one of the given points:

\(6=5(2)+b\\6=10+b\\b=-4\)

⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:

\(y=5x-4\)

\(y=5x-4\)

Answer:

I'm pretty sure that the answer is 1.97

\( \frac{11}{13} + \frac{44}{39} \)

11/13 ×3

11×3=33

13×3=39

11/13=33/39

33/39+44/39

= 77/39

77÷39

=

\(1 \frac{38}{39} \)

The solution is, the profit is 18.

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

   Expression that is most useful,

   Factored form: -2(p - 3)(p - 9) = 0

   p = 3, 9

b). The profit when the price is zero .

   Standard form:

   Profit = -2p² + 24p - 54 = 0

   -p² + 12p - 27 = 0

   -p² + 3p + 9p - 27 = 0

   -p(p - 3) + 9(p -3) = 0

    (-p + 9)(p - 3) = 0

    p = 3, 9

c). The price that gives the maximum profit.

  Vertex form: -2(p - 6)² + 18

  Vertex of the given expression → (6, 18)

  Maximum profit will be at p = 6.

  Therefore, profit = -2(6 - 6)² + 18 = 18

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complete question:

The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are

Standard form: - 2 p^2 + 24p - 54

Factored form: -2(p - 3)(y-9)

Vertex form: -2(p-6)^2 + 18.

Which form is most useful for finding a. The prices that give a profit of zero dollars?

b. The profit when the price is zero?

c. The price that gives the maximum profit?​

Okay, here we have this:

Considering the provided information we obtain the following:

a)

Replacing in the Compound Interest formula we obtain the following:

b)

After 1 year (t=1):

We obtain that after one year the balance is aproximately $17,161.06.

After 2 years (t=2):

We obtain that after two years the balance is aproximately $18,331.90

After 5 years (t=5):

We obtain that after five years the balance is aproximately $22,345.90.

After 10 years (t=10):

We obtain that after ten years the balance is aproximately $31,082.44.

c)

In this case the doubling time will be when she has double what she initially had, that is: $16,065*2=$32130, replacing in the formula:

Let's solve for t:

Finally we obtain that the doubling time is approximately 10.502 years or about 10 years 6 months.

Answer:

yes

Step-by-step explanation:

...

Answer:

0.58333333....

can i have brainliest plz

Answer:

Use Photo Math, it will explain all of the steps

You have some data points labeled by \(x\). They form the set {3, 5, 7}.

The mean, \(\bar x\), is the average of these values:

\(\bar x = \dfrac{3+5+7}3 = \dfrac{15}3 = 5\)

Then in the column labeled \(x-\bar x\), what you're doing is computing the difference between each data point \(x\) and the mean \(\bar x\):

\(x=3 \implies x-\bar x = 3 - 5 = -2\)

\(x=5 \implies x-\bar x = 5-5 = 0\)

\(x=7 \implies x-\bar x = 7 - 5 = 2\)

These are sometimes called "residuals".

In the next column, you square these values:

\(x=3 \implies (x-\bar x)^2 = (-2)^2 = 4\)

\(x=5 \implies (x-\bar x)^2 = 0^2 = 0\)

\(x=7 \implies (x-\bar x)^2 = 2^2 = 4\)

and the variance of the data is the sum of these so-called "squared residuals".

Answer:

33/8 or 4 1/8 simplified.

Answer:

13 days

Step-by-step explanation:

She starts with 3

She gets 2 for each year with the company

She has been their 5 years

5*2 = 10

10+3 = 13

The total number of paid vacation days after working for 5 years is 13 days.

The equation having the highest power of its variable as 1 is called a linear equation.

Let the total number of paid vacations be y.

And the number of years Lisa worked for the company be x.

The fixed paid vacation is for 3 days.

The number of additional paid vacation days for each additional year is 2 days.

So, the linear equation formed is,

y = 2x + 3 ... (i)

Put the value of x = 5 in the equation (i),

y = 2(5) + 3

y = 10 + 3

y = 13

Hence, the number of paid vacation days earned by Lisa after 5 years of working is 13 days.

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a is smaller than 0.

on the natural numbers scale on the left side of value 0 are negative numbers.

Answer:

anything under 0 such as -1 -2 -3 -4 and anything below so you write any number below 0

Multiply equation 2 by 3. Then subtract the result from equation 1.

Explanation:

The 2nd equation given to us is -2x+y = 8

Triple both sides to get -6x+3y = 24

This means the original system

\(\begin{cases}2x-3y = 12\\-2x+y = 8\end{cases}\)

is equivalent to

\(\begin{cases}2x-3y = 12\\-6x+3y = 24\end{cases}\)

If we were to add the equations, then the y terms would cancel out because -3y+3y = 0y = 0.

Subtracting the equations will not cancel out the y terms.

-3y minus 3y = -3y -3y = -6y

Therefore the portion saying "Then subtract the result from equation 1." in answer choice B is not correct. It should be "add the equations" or "add the result to equation 1" after tripling both sides of the 2nd equation.

Answer choices A and C say the same thing more or less. Adding the original equations straight down will cancel out the x terms. Therefore, choices A and C are valid approaches to using elimination. We can cross choices A and C off the list.

Answer:

(I) yessssssssssssssssssssssss

Answer:

yes it is.

Step-by-step explanation:

i did this and it was correct

Answer:

yes .it is totally correct

The length of the apothem is 10. 99cm

To determine the apothem of a polygon, we have to use the formula;

a = s/2 tan (180/n)

Such that the parameters are;

Now, substitute the values, we have;

a = 8/2tan(180/9)

divide the values

a = 8/2tan 20

Find the values

a = 8/0. 7279

Divide the values

a = 10. 99cm

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Complete Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with σ=7.2.

Calculate the p-value. Round your answer to four decimal places.

Answer:

The   \(p-value = 0.030742\)

Step-by-step explanation:

From the question we are told that

  The population mean is  \(\mu = 38\)

   The sample size is  n = 35

   The sample mean is  \(\= x = 40.27\)

   The standard deviation is  \(\sigma = 7.2\)

The null  hypothesis is  \(H_o\): μ=38

The alternative hypothesis is H1: μ>38

Generally the test statistics is mathematically represented as

      \(t = \frac{ \= x -\mu }{\frac{\sigma }{ \sqrt{n} } }\)

=>    \(t = \frac{ 40.27 - 38 }{\frac{ 7.2 }{ \sqrt{ 35} } }\)

=>    \(t =1.87\)

Generally from the z table the p-value of  \((Z > 1.87 )\)  is  

    \(p-value = P(Z > 1.87) = 0.030742\)

Answer:

x = 25

Step-by-step explanation:

3x-15 = 2x+10

x-15 = 10

x = 25

Answer:

x = 25 degree

Step-by-step explanation:

3x - 15 = 2x + 10 (their relation will be alternate interior angles if they \(l_{1}\) and \(l_{2}\) are parallel)

3x - 2x = 10 + 15

x = 25 degree

Answer:

(B)\(-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1\)

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

Step-by-step explanation:

Given the polynomial: \(\dfrac{x}{4}-2x^5+\dfrac{x^3}{2}+1\)

We are required to pick an equivalent polynomial which is in standard form.

A polynomial is in standard form when it is written in descending powers of x.

Therefore, rearranging the polynomial above, we have:

\(-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1\)

The correct option is B.

The correct answer is B. –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

hope you have a great day :D

Answer:

May 9, 1865

Step-by-step explanation:

Answer:

y = (x - 4) - 4

Step-by-step explanation:

m = \(\frac{y_{2} - y_{1} }{x_{2} -x_{1} }\)

(- 2, - 10)

(4 , - 4)

m = \(\frac{-4+10}{4+2}\) = 1

y + 4 = (x - 4) ⇒ y = (x - 4) - 4

Answer:

C

Step-by-step explanation:

It's not A and B because an exponent to the negative number leads to the fraction.

e.g. 10^-a = 1/(10^a)

It's not D because 5,030,000 rounds to 5,000,000 and not 6,000,000.

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

Answer:

C.  x = 1/2

Step-by-step explanation:

To find x, simply take the cube root of the cube's given volume.  with a volume of 1/8 cubic centimetres, (this is an assumption, as the question expresses the volume in square centimetres, which is not a valid unite of volume; presumably that's a typo), the side length will be:

√(1/8)

= √1 / √8

= 1 / 2

So x is equal to 1/2 of a centimetre.

Answer:

x= 1/2

Step-by-step explanation:

The formula to find the volume of a cube is \(a^3\), we can work backwards with the volume to find the edges:

\(1/8=x^3\\\sqrt[3]{1/8} =x\\1/2=x\)

Step-by-step explanation:

(116-718) /(2.805+118) [as, there cannot be two decimals in one numbers

=-602/120.805

=0.498

Answer: D. 2/3

Step-by-step explanation:

If it is 1/5 of an hour, we times it by 5, to get full hour, right?

So, we also do ×5 for the acre of land, so we can get the amount of acres in a full 1 hour.

5 is the same as 5/1 as a fraction

1/5 × 5 = 5/5 ......1 hour

2/15 × 5/1 = 10/15

So we get, 10/15 acre of land cleared in 1 hour

We simplify 10/15,

Which becomes,

2/3.

In conclusion, this is the working out =

2/15 × 5 = 10/15 = 2/3

Answer: a< -4 D

Step-by-step explanation: