A clerk is paid an annual salary of $22320. What is her gross monthly salary?

Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

Answer:

y = a - k

Step-by-step explanation:

k = a - y

=> k + y = a

=> y = a - k

Given :

Insurance cost , $693.00 .

Gas cost , $452.00 .

Average charge per fare , $7.00 .

Tuition fee , $3280.00 .

To Find :

The fare he have to get to pay his fee .

Solution :

Let , number of fair required is n .

Therefore , total profit is :

\(Profit = earning - expenditure \\Profit = 7n - 693-452\\Profit = 7n-1145\)

Now , to pay his fee this profit must be equal to his fee because he don't have other expenditure .

So ,

\(7n-1145=3280\\\\7n=4425\\\\n=\dfrac{4425}{7}\\\\n=632.1\)

But number of rides cannot be in decimal so minimum rides he must get is

632+1 = 633 .

Hence, this is the required solution .

The volume of the remaining oil after evaporation will be 5×10³ cm³. It can be calculated from drops per cubic meter, volume fraction and number of drops used.

The volume of oil that is remaining after evaporation can be calculated using the equation,

V = Xv × N/Nv

Xv is the volume fraction

N is the number of drops used

Nv is the drops per cubic centimeter.

V = 0.05 × 10/100 = 5× 10³

So the volume after evaporation will be 5×10³ cm³.

Oleic acid is used instead of water because, oleic acid will have a density similar to oil used. So calibrating using oleic acid will give accurate results compared to water. Thickness of the oil can be calculated by dividing the surface area from the volume.

So the volume of remaining oil will be 5×10³ cm³.

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Answer:

- 11s² + 2s + 9

Step-by-step explanation:

B = 2s + s²

A = 3 - 4s²

then

 2s + s² + 3(3 - 4s²)

=2s + s²+ 9 - 12s²

= - 11s² + 2s + 9

Answer:

120 square centimeters

Step-by-step explanation:

Functions are used to represent graphs, and vice versa.

The function represented by the graph is \(f(x) =- |x + 4| + 3\)

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

\(f(x) =a |x - h| + k\)

Where

\(Vertex = (h,k)\)

The vertex is the minimum or the maximum point on the graph.

So, we have:

\(Vertex = (-4,3)\)

The function becomes

\(f(x) =a |x + 4| + 3\)

The function also passes through the point (-1,0).

So, we have:

\(0 =a |-1 + 4| + 3\)

\(0 =a |3| + 3\)

Remove the absolute bracket

\(0 =3a + 3\)

Subtract 3 from both sides

\(3a =- 3\)

Divide both sides by 3

\(a =- 1\)

Substitute -1 for (a) in \(f(x) =a |x + 4| + 3\)

\(f(x) =- |x + 4| + 3\)

Hence, the function represented by the graph is \(f(x) =- |x + 4| + 3\)

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Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

Nοn hοmοgenοus equatiοn are οften fοrm dy/dx +P(y)=  Q(x) dy/dx=y²+cοs(x)

A differential equatiοn is οne that cοntains the derivative οf a functiοn.

1. Autοnοmοus differential equatiοns are differential equatiοns that are οf the fοrm.

dy/dx = f(y)

οur equatiοn is dy/dx = y² + cοs(x) and its nοt οf the abοve fοrm .Sο (A)  is ruled οut

2. lοgistic differential equatiοn are οf the fοrm :

y=r[1-(y/k)]y

οptiοn (C) is ruled οut as well

3. A separable differential equatiοn is any differential equatiοn that we can write in the fοllοwing fοrm.

N(y)dy/dx = M(x)Our equatiοn cannοt be seprated fοr x and y like separable differential equatiοns

sο οptiοn B is ruled οut as well.

4. Nοn hοmοgenοus equatiοn are οften fοrm dy/dx +P(y)=  Q(x) dy/dx=y²+cοs(x)

this cοuld be written as dy/dx - y²=  cοs(x) the fοrm matches

=> οptiοn (D) nοn hοmοgenοues is cοrrect

5.fequatiοns are like dy/dx + P(y) = 0 , the x term is missing

sο οptiοn (E) is nοt valid

6. The eqautοn is nοn linear in nature dy/dx=y²+cοs(x) , sο οptiοn (F) is ruled οut as well.

Optiοn (D) is cοrrect.

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Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

Answer:

n+1=4(n-8)

n+1=4xn/4 x-8

n+1=4n-32

1+32=4n-n

33=3n

33/3=3n/3

11=n

Step-by-step explanation:

Answer:

1500kg

Step-by-step explanation:

\(formula\) → m = net force/ a

3000N ÷ 2.0m/s²

= 1500kg

Answer:

C. -5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from table

Point (-1, 6)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Where's the prism? ＞︿＜

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Your equation really is x /4 +3=24. The 1st think we do is subtract 3 from both sides. The new equation is x/4=24-3. 24-3 is 21 so we can update that. x/4=21. we multipyli both sides by 4. x=84.

1) 2 3÷4 = 11÷4

hence, 11÷8 = 1.37 .

2)  4 2÷9 =38÷9 .

hence, 38÷18 = 2.11 .

simplify  2 3÷4  = 11÷4

and

4 2÷9 = 38÷9.

now 1/2 of 11/4 = 11/8 = 1.37.

1/2 of 38/9 = 38/18 = 2.11 .

Answer:

30

50

90

+ 40

Step-by-step explanation:

Hope this helps u

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Answer:

Step-by-step explanation:

The first step makes the figures be same by size but the second step, reflection over line AE doesn't map them together.

Correct line of reflection would be a vertical line through the point D.

First step is fine

But then

It should be reflecting using a line through D

Step 2 is wrong

9514 1404 393

Answer:

  360

Step-by-step explanation:

Sam obtains a "contribution margin" of $0.50 -0.25 = $0.25 per cookie. That will cover the cost of baking supplies when he sells ...

  $90 / ($0.25/cookie) = 360 cookies

Sam needs to sell 360 cookies before he can start making a profit.

_____

If you like, you can find Sam's break-even point by equating revenue and cost. The is the number of cookies Sam must sell for a profit of 0, that is, for non-negative profit.

  P = R - C

  0 = R - C

  R = C

  0.50n = 90 +0.25n

  0.25n = 90 . . . . subtract 0.25n

  n = 90/0.25 = 360 . . . .divide by the coefficient of n

You may notice this is similar to our description above.

Answer: y=2x+17

Step-by-step explanation:

Answer:

4 hours .  

Step-by-step explanation:

4x8.50=34

34 + 16=50

Answer:

He worked 4 hours i think

Step-by-step explanation:

Take 50 and subtract his tips ($16)

then divide your answer by how much he makes an hour ($8.50)

(a) The differential equation that has solution W(t) is:

dW/dt = (1/3500) * (HH - 20W)

This is because the rate of change of weight with respect to time is proportional to the difference between the person's constant caloric intake and the number of calories needed to maintain their current weight, which is 20 calories per day per pound of body weight. The constant of proportionality is 1/3500 pounds per calorie.

(b) To find out what happens to the person's weight as t→[infinity], we can look at the long-term behavior of the solution to the differential equation. As t gets very large, the weight W(t) approaches a limiting value W∞ such that dW/dt = 0. This means that the person's weight is no longer changing, and is therefore at a steady state.

To find this steady state weight, we set dW/dt = 0 in the differential equation:

(1/3500) * (HH - 20W∞) = 0

Solving for W∞, we get:

W∞ = HH/20

So as t→[infinity], the person's weight approaches W∞ = HH/20.

This means that if the person starts out weighing 180 pounds and consumes 3200 calories a day, their weight will eventually stabilize at W∞ = 3200/20 = 160 pounds.
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The half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

The half-life of a radioactive is time for 50% of its particles to decay or disintegrate into a new element. The pace at which a radioactive material will decay is predicted using this indicator of an isotope's stability. An element's half-life, which differs substantially across various elements, is based on the unique characteristics of its nucleus.

For instance, the half-life of uranium-238 is 4.5 billion years whereas that of carbon-14 is 5,730 years. This indicates that half of the carbon-14 atoms in a sample will have decayed after 5,730 years, and half of the uranium-238 atoms will have decayed after 4.5 billion years.

How to solve?

(a) After 3 days, the sample has decayed to 58% of its original amount, which means that half of the original amount has already decayed. Therefore, the half-life of radon-222 is 3 days.

(b) Since the half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

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By using the concept of maxima of a function, it can be calculated that

For maximum area,

Length of the pen perpendicular to wall = 125 m

Length of the pen parallel to wall = 250 m

What is maxima of a function?

Maxima of a function gives the maximum value of the function within a given interval or within the entire domain.

Here, the concept of maxima of a function will be used

Let the side of the pen perpendicular to the wall be x meter and the side of the pen parallel to the wall be y meter

A shed is used as one side of the pen.

Length of fencing = x + y + x = (2x + y) meter.

By the problem,

2x + y = 500

y = 500 - 2x

Area of the pen (A) = xy

                                = x(500 - 2x)

\(\frac{dA}{dx} = \frac{d}{dx}(x(500 - 2x))\\\)

    = \(x(-2)+500-2x\\500 - 4x\)

For maximum area,

\(\frac{dA}{dx} = 0\\\)

\(500 - 4x = 0\\4x = 500\\x = \frac{500}{4}\\x = 125 \ m\)

y = 500 - 2 \(\times\) 125

y = 500 - 250

y = 250 m

\(\frac{d^2A}{dx^2} = \frac{d}{dx}(500 - 4x) = -4 < 0\)

Hence area is maximum

So, for maximum area,

Length of the pen perpendicular to wall = 125 m

Length of the pen parallel to wall = 250 m

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Answer:

(-5,3)

Step-by-step explanation:

When you reflect over the x axis the numbers will be the same but the sign will change depending on which quadrant you end up in.

(5,3) will reflect over x axis and become (-5,3) and will be in the 2nd quadrant after reflecting.

The arclength of the curve r(t) = ⟨4sin t, 3t, 4cos t⟩ from t = -4 to t = 4 is approximately 25.1327 units.

To find the arclength of the curve, follow these steps:

1. Calculate the derivative of r(t): r'(t) = ⟨4cos t, 3, -4sin t⟩.
2. Find the magnitude of r'(t): |r'(t)| = √((4cos t)² + 3² + (-4sin t)²) = √(16cos² t + 9 + 16sin² t).
3. Simplify |r'(t)|: |r'(t)| = √(16(cos² t + sin² t) + 9) = √(16 + 9) = √25 = 5.
4. Integrate |r'(t)| from t = -4 to t = 4: ∫(-4 to 4) 5 dt = 5∫(-4 to 4) dt = 5(t)|(-4 to 4) = 5(4 - (-4)) = 5(8) = 40.

Note: There was an error in the main answer. The correct arclength is 40 units.

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Answer:

oop

Step-by-step explanation:

Answer:

It is the 4th choice mark me brainliest

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7