Please help with this!!

Let's write and equation for both cases.

In plan 1, it is 500 plus 3% comission. 3% is equivalent to multiply the amount it sale in the week, "x", by 0.03.

So, the equation for plan 1 is:

For plan 2, there is no fixed value, only comission of 5%, which is equivalent of multiplying the weekly sales, "x", by 0.05, so the equation is:

For both plans to result in the same salary, we have:

So, for both plans to result in the same salary, she have to sale 25,000 in a week.

Answer:

The loudness of the sound is equal to 40 decibels.

Step-by-step explanation:

Given that,

The loudness (L) of sound in decibels is related to intensity by the equation as follows :

\(L=10\ log(\dfrac{I}{I_0})\)

Where

I is the intensity of sound

I₀ is the least audible sound

Put \(I=10^{-12}\ W/m^2 \ and\ I_0=10^{-16}\ W/m^2\)

So,

\(L=10\ log(\dfrac{10^{-12}}{10^{-16}})\\\\L=40\ dB\)

So, the loudness of the sound is equal to 40 decibels.

Answer:

40

Step-by-step explanation:

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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ok

I'll start, let me know if you understand.

4 cm ------------------------- 2 nights

88 cm ------------------------ x

x = (88 x 2) / 4

x = 176 / 4

x = 44 nights

Conclusion: Brittany needs 44 nights to complete the scarf

Answer:

Less than or equal to 0

Step-by-step explanation:

You selected the correct answer.

Hope this helps

Answer:

22 pounds of watermelon

Step-by-step explanation:

First find cost per pound
19.60/8=2.45
$2.45 per pound
Then divide $53.90 by $2.45 to determine how many pounds you can buy
53.90/2.45=22
22 pounds of watermelon

Answer:

-2

Step-by-step explanation:

The common difference is

8-10

-2

The width of the rectangle is 12/5 feet or 2.4 feet.

Let's denote the width of the rectangle as 'w'.

We know that the length of the rectangle is 5/6 feet and the area is 2 square feet.

The formula for the area of a rectangle is:

Area = Length × Width

Plugging in the given values, we have:

2 = (5/6) × w

To find the width, we can solve this equation for 'w'.

Multiplying both sides of the equation by 6/5 (the reciprocal of 5/6), we get:

2 × (6/5) = (5/6) × w × (6/5)

12/5 = w

So, the equation representing the solution is:

w = 12/5

Therefore, the width of the rectangle is 12/5 feet or 2.4 feet.

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Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

Answer:

D

Step-by-step explanation:

I tried to put in the explanation but I was told that I put in a link or inappropriate words.  Neither is true, I do not know that I cannot put in the explanation.

Answer:

The slope of the line that passes through G(-3, 2) and H(7, 2) is 0.

Step-by-step explanation:

The slope of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

In this case, we have two points G(-3, 2) and H(7, 2):

m = (2 - 2) / (7 - (-3))

m = 0

Therefore, the slope of the line that passes through G(-3, 2) and H(7, 2) is 0.

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Numerical values of,

Million: 1,000,000

Billion: 1,000,000,000

Trillion: 1,000,000,000,000

Quadrillion: 1,000,000,000,000,000

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values

Million: A million is a number equal to 1,000,000 (one followed by six zeros). It is often used to express large quantities of things, such as the population of a city or the number of dollars in a large fortune.

Billion: A billion is a number equal to 1,000,000,000 (one followed by nine zeros). It is a larger quantity than a million and is often used in economic contexts, such as the value of a company or the national debt of a country.

Trillion: A trillion is a number equal to 1,000,000,000,000 (one followed by twelve zeros). It is an even larger quantity than a billion and is often used in scientific and astronomical contexts, such as the distance between stars or the number of cells in the human body.

Quadrillion: A quadrillion is a number equal to 1,000,000,000,000,000 (one followed by fifteen zeros). It is an extremely large quantity and is rarely used in everyday contexts.

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values. They are often used to express an extremely large or unknown quantity in a humorous or hyperbolic way.

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The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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Answer:

So it will reach the 30 meter mark at 1.7 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

A triangle with two angles that are the same with a third thats different or somthing.

Answer:

5

Step-by-step explanation:

The required fraction of chicken,whose are laying eggs irregularly.

Multiply the numerators and denominators independently to track down the item. At the point when you need to duplicate divisions, increase the 2 numerators together first and compose it on top. Then duplicate the denominators together and compose it on the lower part of the portion. Work on your response in the event that you would be able so it is in the least terms.

9/15 chickens are laying eggs regularly and 2/15 chickens never lay eggs.

Then,fraction of chicken

1 - 9/15 - 2/15

15 - 9 - 2/15

4/15

Thus, the fraction of chicken are 4/15

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Correct question:

9/15 of David's chickens lay

eggs every day. 2/15 of the chickens never lay any eggs. What fraction of the chickens lay eggs irregularly.

Answer:

Friday

Step-by-step explanation:

Thursday 7/2 ÷ 4 = 7/8 inches an hour (.875)

Friday 8 ÷ 9 = 8/9 inches an hour (.888)

Friday it was snowing faster

Answer:

Friday

if Thursday snowed 3½ inch 4 hours

then for Friday

9 ÷ 8 = 1.125 inches for one hour

1.125 × 4 = 4.5 inches for 4 hours

1.25 inches more than Thursday. So, the answer is Friday ^^

Hope you could get an idea from here.

Doubt clarification - use comment section

a) The value of integral ∮ (2z sin z)/(z - 3) dz, is 12πi sin(3). b) The value of integral ∮ (1/(z² - 2)) dz,  is 0.

To use Heaviside's formula, we need to determine if the functions have simple poles within the given contours and then find the residues at those poles. Let's evaluate the integrals using Heaviside's formula for each case:

Integral: ∮ (2z sin z)/(z - 3) dz, where C is the circle |z - 3| = 2.

To find the residues, we look for the pole of the function inside the contour, which occurs when z - 3 = 0, i.e., z = 3. Since this is a simple pole, we can use Heaviside's formula:

Residue at z = 3: Res = lim(z→3) (2z sin z)/(z - 3)

= 2(3)sin(3)

= 6sin(3)

Therefore, the value of the integral is 2πi times the residue:

∮ (2z sin z)/(z - 3) dz = 2πi * 6sin(3) = 12πi sin(3)

Integral: ∮ (1/(z² - 2)) dz, where C is the unit circle.

To find the residues, we need to solve the equation z² - 2 = 0. The roots are z = √2 and z = -√2. Both are simple poles within the unit circle.

Residue at z = √2: Res₁ = 1/(2√2)

Residue at z = -√2: Res₂ = 1/(-2√2) = -1/(2√2)

Using Heaviside's formula, we can evaluate the integral

∮ (1/(z² - 2)) dz = 2πi * (Res₁ + Res₂)

= 2πi * (1/(2√2) - 1/(2√2))

= 0

Therefore, the value of the integral is 0.

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--The given question is incomplete, the complete question is given below " Heaviside's formula Confirm that the following functions have simple poles and use Heaviside's formula to find the residues to evaluate the following integrals: 1. 2. $ 3. 1 z sin z ·LOF dz and C is the circle |z-3 = 2. 1 (²¹-2dz and C is the unit circle. "--

multiply Start Fraction 5 Over 7 End Fraction by 3.

What do math fractions mean?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                Whether it is in the numerator or denominator, a complex fraction contains a fraction.

                             The numerator and denominator of a correct fraction are opposite each other.

What is basic fraction theory?

Every fraction has two components: the numerator, which is the actual number of parts, and the denominator, which is the total number of parts.

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Answer:

c is the answer i took the test

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

\(A(t)=P(1+\frac{r}{n})^{(n)(t)}\)

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

\(4672.12=P(1+\frac{.18}{12})^{(12)(3.5)}\) Simplifying it down a bit:

\(4672.12=P(1.015)^{42}\) Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

Answer:

C

Step-by-step explanation:

Therefore, the derivative of the function \(y = x^{(11/7)}\) is \(y' = (11/7) * x^{(4/7)}\)

To find the derivative of the function \(y = x^{(11/7)}\), we can use the power rule of differentiation.

The power rule states that if we have a function of the form \(y = x^n\), then its derivative is given by \(y' = n*x^{(n-1)}\)

In this case, the function \(y = x^{(11/7)}\) can be rewritten as

\(y = x^{(11/7)} \\= (x^{11})^{(1/7)}\)

Applying the power rule, we differentiate the function as follows:

\(y' = (1/7)*(x^{11})^{((1/7)-1)} * 11x^{(11-1)}\)

Simplifying this expression, we get:

\(y' = (1/7)*(x^{11})^{(-6/7)} * 11x^{10}\)

Simplifying further, we have:

\(y' = (11/7) * x^{(-6/7)} * x^{10}\)

Combining the x terms, we can write the final derivative as:

\(y' = (11/7) * x^{(10 - 6/7)}\)

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Answer:

I just did for your previous posting.

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

\(\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\\)

                      \(= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\\)

Answer:

\(\frac{15}{56} a^2\)

Step-by-step explanation:

By vertical line test the relation represented by given curved graphs is a function.

A relation is said to be a well defined function if one element of domain set is related to exactly one element of codomain.

Here it is clear that if we draw a vertical line at any point that line cuts through only one point of the curve.

So vertical line test shows that one point of X axis i.e. one element of domain is related to one point on Curve i.e. one element of Codomain.

Hence by vertical line test we can say that the relation given is a function.

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