A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?

Answer:

(1) 10

(2) 10π

(3) 25π

Step-by-step explanation:

We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.

We are required to find the diameter, perimeter, and area using the given data we have been provided with.

Let's start:

#1: Diameter

To find diameter [tex]d[/tex] use formula:

                                               [tex]d=2*r[/tex]

After substituting  [tex]r=5[/tex] we have:

                                             [tex]d=2*5\\d=10[/tex]

After calculating, we have found that the diameter of the circle is 10.

#2: Perimeter

The perimeter can also be known as the circumference of a circle as they both measure the outline.

To find circumference [tex]C[/tex] use formula:

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

After substituting [tex]r=5[/tex] we have:

                                          [tex]C=2*5*\pi[/tex]

                                           [tex]C=10\pi[/tex]

Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359

⇒ 31.4

After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).

#3: Area

To find area [tex]A[/tex] use the formula:

                                            [tex]A=r^2*\pi[/tex]

After substituting  [tex]r=5[/tex] we have:

                                           [tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]

Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:

⇒ 78.5398163397

⇒ 78.6

After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).

After finding all the required information, we have now completed the answer.

The inequality which expresses the solution to the task is; x < 7.

According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;

let

The unknown number = x

sum of 8 and a number:

8 + x

sum of 8 and a number is less than 15:

8 + x < 15

x < 15 -8

x < 7.

Ultimately, the required inequality is; x < 7.

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Answer:

About 3.5

Step-by-step explanation:

To get slope, you essentially need to find the rise (the y values) over run (the x values). You'll most likely see the formula for slope written like this:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Thankfully, you have the values you need to solve the problem!

x1 = 2

x2 = 6

y1 = 7

y2 = 21

So plugging these numbers in, we get:

[tex] \frac{(21) - (7)}{(6) - (2)} \\ \\ \frac{14}{4} \\ \\ 3.5 [/tex]

[EDIT: I misread 6 as 5. Answer has been updated!]

Answer:

Step-by-step explanation:

there is no root in denominator so I think it is rationalised

Answer:

Where did the writer go in holiday

Answer:

2(0.4)^-2 = 12.5

Step-by-step explanation:

do math noob

Answer:

continuous random variable

We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

See attached image.

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Answer:

in the pic...

Step-by-step explanation:

Hope it Helps!!!

Answer:

[tex]\fbox {True}[/tex]

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

Answer:

most likely b

Step-by-step explanation:

the more than symbol tells me that it is going to move past 10.

Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.

The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:

G = Plane speed + Wind speed.

In this problem, we have that the speeds are given as follows:

Hence the ground speed is given by:

G = 400 + 110 = 510 knots.

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Answer:

the answer to the question is C) 8

Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.

Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000

Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.

Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000

Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost

Explicit cost = $560,000 + $74,000 + $83,000 =$717,000

Implicit cost = 130,000

Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000

Economic profit = $-17,000 - $130,000 = $-147,000

Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000

Economic profit = $33,000 - $130,000 = $-97,000

Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000

Economic profit = $83,000 - $130,000 = $-47,000

Accounting profit when revenue is 850,000: - 717,000 = $133,000

Economic profit = $133,000 - $130,000 = $3000

Here is the complete question:

For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.

700,000

750,000

800,000

850,000

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Answer:

1. -3(x+8) = -21
2. Division property of equality
3. x + 8 = 7
4. Subtraction Property of Equality

(Not quite sure whether #2 is division or distributive, but i'm 90% sure it's division).

Answer:

6

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

Note the following:

[tex]\frac{1}{3}=0.33333333333333333333333333333333333333333333333...[/tex]  

or more simply [tex]\frac{1}{3}=0.\bar{3}[/tex]

This means that [tex]2\frac{1}{3}=2.\bar{3}[/tex]

Going back to the original expression, [tex]3\frac{2}{3}+2.\bar{3}[/tex]  simplifies to [tex]3\frac{2}{3}+2\frac{1}{3}[/tex]

Next, adding mixed numbers.  For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because

[tex]3\frac{2}{3}+2\frac{1}{3}[/tex] means the same thing as

[tex](3+\frac{2}{3})+(2+\frac{1}{3})[/tex]

Changing the order, we can write it as

[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same).  Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same.  So, add the numerators, and the denominator will stay as a 3.

[tex]\frac{2}{3}+\frac{1}{3}[/tex]

[tex]\frac{1+2}{3}[/tex]

[tex]\frac{3}{3}[/tex]

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

*(except if the number we're talking about is zero)

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5.  Returning to our expression...

[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]

[tex]5+\frac{3}{3}[/tex]

[tex]5+1[/tex]

[tex]6[/tex]

The number of minutes of the ride that are spent higher than 22 meters above the ground is; 2.64 minutes

We are given;

bottom of the Ferris Wheel is 4 meters off the ground.

Radius = diameter/2 = 24/2; r = 12 meters.

Thus, the center of the Ferris Wheel is 4 + 12 = 16 meters off the ground.

A horizontal line through the center of the Ferris Wheel is 16 meters off the ground, and therefore the lower half of the Ferris Wheel is always below 22meters.

The distance from the horizontal to 22 meters is 22 - 16 = 6 meters.

The angle between the horizontal and a radius to 22 meters is;

sin(θ) = 6/16

θ = sin⁻¹(6/16)

θ = 22.02°.

This angle height is on both sides of the Ferris Wheel and as such;

180° + (2 * 22.02) = 224.04° is always under 16 meters.

Thus, what is above 16 meters is 360° - 224.04° = 135.96°

Since it takes 7 minutes for 1 revolution, then the amount of time the Ferris Wheel is above 16 meters is;

(135.96/360) * 7 min ≈ 2.64 minutes

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The value of a is 14.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

Given:

tan3a=cot2a​

tan 3a=  tan (90- 2a)

On comparing

3a= 90- 2a

5a= 90

a= 14

Hence, the value of a is 14.

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The function h(x) is a transformation of the square root parent function,

f(x)=√x. The function is h(x) A: √x+5.

Transformations come in the form;

y =√(x-h) +k,

where h is responsible for left-right movements, and k is responsible for up-down movements.

From the graph, we can see that f(x) is simply the parent square root function, √x.

To translate a function right by p units and up by q units, the function becomes

g(x) = f(x -p) +q

(p, q) = (5, 0)

To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.

h(x) = f(x + 5) +0

h(x) = √(x+ 5)

Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.

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An equation is formed of two equal expressions. The correct option is A, the sum will be equal to 5x = 10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two systems of equations Equation1: 2x+y=4 and Equation 2: 3x-y=6. Now if the two of the given equations are added the result will be,

2x + y + 3x - y = 4 + 6

5x  = 10

Hence, the correct option is A, the sum will be equal to 5x = 10.

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The dimensions of the school yard is 58 m and 89 m.

A rectangle is a polygon with four sides , It has opposite sides parallel and equal.

It is given that

A rectangular school yard has a perimeter of 294 meters

Perimeter of a rectangle is given by

P = 2(Length +Breadth)

294 = 2( L+B)

147 = L+B

Area of a rectangle is given by

L*B = 5162

B = 5162/L

L + 5162/L =147

L² -147L +5162 = 0

L² -58L - 89L+5162 = 0

L(L-58) -89(L-58)

L = 58 , 89

The dimensions of the school yard is 58 m and 89 m.

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Answer:

cost of car = 34500

selling price = 29700

amount of loss = 34500 - 29700 = 4800

loss percentage = (loss amount ÷ cost price ) * 100

= 13.913 ≈ 14% loss

Answer:

x = 20°

Step-by-step explanation:

(4x-10)+x=90

4x-10+x=90

4x+x-10=90

5x-10=90

5x=100

x=20

Answer:

20

Step-by-step explanation:

Straight line angles:

     Angles on a straight line add up to 180°.

 90 + 4x - 10 + x = 180

 90 - 10 + 4x + x = 180

Combine like terms.

         80 + 5x     = 180

Subtract 80 from both sides,

                 5x    = 180 - 80

                    5x = 100

Divide both sides by 5

                      x = 100 ÷ 5

                      [tex]\sf \boxed{x = 20^\circ}[/tex]

The intermediate step in the following equation is (4x + 16)² = - 196

An Equation is the mathematical statement formed when two algebraic expressions are equated using an equal sign.

The given equation is

4x² +64x+467 = 15

4x² + 2 * 2x *16 + 256 -256 +467 = 15

(4x + 16)² +211 = 15

(4x + 16)² = - 196

Therefore the intermediate step in the following equation is

(4x + 16)² = - 196

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Answer:

Step-by-step explanation:

words type per minute =210/6

                                       =35

Answer:

Step by step explanation:

The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.

We start by finding the type of proportionality we have.

In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.

We have only 5 workers left.

In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.

We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.

As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.

[tex]\rm 30 * 2/1 \: = 60 \: days[/tex]

By so

Step-by-step explanation:

first you should do is that find the common difference which is 9

Answer:

3n - 5

Step-by-step explanation:

f(n) = 3n - 5. Works for all of them

Answer:

65 2 point questions, 5 4 point questions

Step-by-step explanation:

write a system of equations:

let x be the number of 2 point questions and y be the number of 4 point questions

2x + 4y = 150

x + y = 70 (since there are 70 total questions)

x + y = 70

subtract x from both sides

y = -x + 70

substitute y = -x + 70 into 2x + 4y = 150

2x + 4(-x + 70) = 150

2x - 4x + 280 = 150

-2x = -130

x = 65

substitute x = 65 into x + y = 70

65 + y = 70

subtract 65 from both sides

y = 5

Answer:

You need 2 numbers whose product is 45 and whose difference is 4.

so the length is 9 and the width is 5.

Hope this helps.