What is the area of the shaded portion of the circle? (16π – 32) in2 (16π – 8) in2 (64π – 32) in2 (64π – 8) in2

The requried quotient of -162  divided by -9 is the number 18.

In mathematics, the division is an arithmetic operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and it is used to find out how many times one number can be divided by another.

Here,

As mentioned in the question, we have to determine the quotient of -162 divided by -9.

So let the quotient be y,

y = -162/-9

y = 18

Thus, the requried quotient of -162 divided by -9 is number 18.

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Answer:

Step-by-step explanation:

Take a look at the first possible answer choice:  (-3x) + 3 + (-2x) + 1 simplifies to -3x - 2x + 3 + 1, or -5x + 4.

Its A. ☜ its right trust me  thats right

Answer:

1.2 million

Step-by-step explanation:

First multiply the equation by 100. You get:  

600,000 = 100bu + 400,000

Now recognize that you can substitute:

600,000 + 100bu + 400,000

= 600,000 + (600,000)

= 1,200,000

That’s 1.2 million.

The value of the equation given is 1.2 millions.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,

So, In the equation 1, multiply by 100, we get,

6,000 = bu + 4,000

600000 = 100 bu + 400000

Now, put this in equation 2,

600,000 + 100 bu + 400,000

= 600000 + 600000

= 1200000

= 1.2 millions

Hence, the value of the equation given is 1.2 millions.

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Answer:

D

Step-by-step explanation:

[tex]P(1+r\%)^t[/tex]

[tex]700 \times (1+0.8\%)^5[/tex]

[tex]700 \times (1+0.8/100)^5[/tex]

[tex]700 \times (1+0.008)^5[/tex]

[tex]700 \times (1.008)^5[/tex]

The value expresses the population five years later is (700)(1.008)^5.

We have given that in 1997 the population of a small town was 700.

The annual rate of increase is about 0.8%.

We have to find the population for 5 years

[tex]F=P(1+r)^t\\\\[/tex]

Here p=700

r=0.8/100=0.008

t=5

Use the above value in the formula so we get,

[tex]F=700(1+0.008)^5[/tex]

[tex]F=700(1.008)^5[/tex]

Therefore option D is correct.

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Answer:

[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Step-by-step explanation:

We are given that in 1995, the USPS approximated that they handled  [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex]  pieces.

To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.

Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]

Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]  

As it is clear that more pieces of mail were handled in 1995.

So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]

=  [tex]10^{11} \times (1.8 -1.7)[/tex]

=  [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]

Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Answer:

[tex]b[/tex] ≈ [tex]12.0[/tex]

Step-by-step explanation:

Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.

[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]

Subtract 144 from both sides

[tex]b^2=145\\[/tex]

Square root both sides

[tex]b=\sqrt{145}[/tex]

[tex]b[/tex] ≈ [tex]12.0[/tex]

Answer:

Step-by-step explanation:

[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]

Hope it helps tell me if its right

Answer:

[tex]p=80[/tex].

Step-by-step explanation:

The given equation is

[tex]6000+(-25p)=4000[/tex]

We have to isolate the variable p.

The given equation can be written as

[tex]6000-25p=4000[/tex]

Subtract 6000 from both sides.

[tex]6000-25p-6000=4000-6000[/tex]

[tex]-25p=-2000[/tex]

Divide both sides by -25.

[tex]\dfrac{-25p}{-25}=\dfrac{-2000}{-25}[/tex]

[tex]p=80[/tex]

Therefore, the value of p is 80.

Answer:

x   f(x)   g(x)

1    15    3

2    16   4

3    15    5

4    12    6

5    7     7

6    0     8

f(x) = g(x) when x = 5

Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

f(2) = -(2)² + 4(2) + 12 = 16

f(3) = -(3)² + 4(3) + 12 = 15

f(4) = -(4)² + 4(4) + 12 = 12

f(5) = -(5)² + 4(5) + 12 = 7

f(6) = -(6)² + 4(6) + 12 = 0

g(x) = x + 2

g(1) = 1 + 2 = 3

g(2) = 2 + 2 = 4

g(3) = 3 + 2 = 5

g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

g(6) = 6 + 2 = 8

Answer:

x = 5

Step-by-step explanation:

When you graph on desmos it shows (5 , 7) and (-2 , 0) when you do the work in 5, both equations equal 7.

Answer:

if 52x=1 what is the value of x

Answer:

5.

Step-by-step explanation:

Khan academy (I tried 5 and it was correct)

Answer:

See below.

Step-by-step explanation:

First,looking at the graph, we can pick out (any) two points we can use. I'm going to pick the points (-2,1) and (0,-1).

Use the slope-intercept form: [tex]y=mx+b[/tex]

We already know [tex]b[/tex] since (0,-1) is the y-intercept, so...

[tex]y=mx-1[/tex]

Now, find the slope:

[tex]m=\frac{\Delta y}{\Delta x} =\frac{1-(-1)}{-2-0} =\frac{2}{-2}=-1[/tex]

Thus, the entire equation is:

[tex]y=-x-1[/tex]

Answer:

0.190

Step-by-step explanation:

I just took the quiz it's 0.190

Probability is the chance of an event to occur from a number of possible outcomes.

The probability of win and away game is 4/21.

It is the chance of an event to occur from a number of possible outcomes.

It is given by:

Probability = Number of required event / Total number of outcomes

We have,

The table with the win and loss record for a local basketball team.

             Home game     Away game

Win            8                       4

Losses       3                       6

The number of games played:

= 8 + 4 + 3 + 6

= 21

The probability of win and away game is:

= 4 / 21

Thus,

The probability of win and away game is 4/21.

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Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

Answer:

916.67

Step-by-step explanation:

1/2 of 500.00

1/2×500.00

=250.00

1/3 of 500.00

1/3×500.00

=166.67

then add them

250.00+166.67

=416.67

then take 500.00 add with 467.67

500.00+416.67

=916.67

Answer:

4.68 in

Step-by-step explanation:

4.825-0.145=4.68 in

The inside diameter of the pipe is 4.68 inches.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

The outside diameter of a pipe is 4.825 inches.

If the pipe wall is 0.145 inches thick,

the inside diameter of the pipe,

= 4.825 - 0.145

= 4.68

Therefore, the diameter is 4.68 inches.

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Answer:

g is the independent variable.

u is the independent variable.

Step-by-step explanation:

According to the question, the data mentioned is as follows

Equation g = 748u

where,

g = the total number of gallons of water used

And, u =  the number of units.

As we've seen, Consumers are using the number of units of water.

The volume of water units does not depend on the total quantity of gallons of water that is being used.

So, the number of units i.e u represents an independent variable.

hence,

The value of the total quantity of gallons is entirely dependent on the number of units used, and the g represents the dependent variable

Therefore,

The third and fourth option is correct

Answer:

g is the independent and u is the depndent

Step-by-step explanation:

because u is based of g's value

Answer:

The company has to sell 30,000 sets.

Step-by-step explanation:

Cost of each set = $5

Sale of each set = $7

Profit on each set = $7 - $5 = $2

Let

Number of sets = x

Profit on x number of sets = ($2) · x

Recovery of initial investment = $45,000

Additional profit = $15,000

Total Profit desired = $45000 + $15000 =$60,000

Which means that we have to find the number of sets sold, which can earn us a total profit $60,000, from which $45000 are the recovery of initial investment and $15000 are additional profit.

We can conclude that:

Profit on x number of set = Total profit desired

($2) · x = $60,000

x = $60,000 / $2

x = 30,000 sets

Answer:gram

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Answer:

D. Gram

Step-by-step explanation:

Answer:

[tex]5(1-2m)[/tex]

Step-by-step explanation:

[tex]5-10m[/tex]

Find the greatest common factor of the expression.

The GCF is 5.

[tex]5(1)+5(-2m)[/tex]

[tex]5(1-2m)[/tex]

The required factor of the expression  is [tex]5 (1-2m)[/tex].

We have to determine, Factorize the given expression 5– 10m.

GCF of any of factor, to study multiplications and comprehend, which factor belongs to which the whole number.

To obtain the greatest common factor, it can be obtain in a following steps.

The greatest common factor is given by,

[tex]= 5-10m[/tex]

Step 1 ; The term 10m return in the form of multiplication,

             [tex]5 - 5 \times2 m[/tex]

Step2; Taking the same term 5 common.

            [tex]5 ( 1-2m)[/tex]

Hence, The required factor is [tex]5 (1-2m)[/tex].

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Hey there! :)

Answer:

b = -11.

Step-by-step explanation:

Create an equation in slope-intercept form to solve for the intercept:

y = mx + b

Plug in the slope and point values:

4 = -3(-5) + b

Simplify:

4 = 15 + b

Solve for b:

-11 = b

b represents the y-intercept, therefore:

y-intercept = -11

Answer: b= -11

Step-by-step explanation:

Edge 2020

Answer:

[tex]3\%[/tex] profit as a whole.

Step-by-step explanation:

Find the net amount of money he/she had after selling the two watches and then divide it with the sum of purchase price to get the overall gain or loss. This can be found by multiplying each sale price with gain or loss. 10% gain means 1.10 in decimal and 4% loss means 0.96 in decimal.

10% means 10/100 = 0.10

4% means 4/100 = 0.04

I used 10% gain as 1 + 10 = 1.10 and 4% loss as 1 - 0.04 = 0.96

[tex]=\frac{\left(2500\times \:1.10\right)+\left(2500\times \:0.96\right)}{5000}\\\\=\frac{2750+2400}{5000}\\\\=\frac{5150}{5000}\\\\=1.03[/tex]

This is similar to 1 + 0.03 = 1.03 and 0.03 means 0.03 x 100 = 3%

Best Regards!

Answer:

Y=2/3

Step-by-step explanation:

Y varies directly as X

Y=k x

K is a constant

6=k72

K=1/12

Y=1/12x

Y=1/12×8

y=2/3

Answer:

For an nth term in an arithmetic sequence

U(n) = a + (n - 1 )d

a = first term

d = common difference

U(n) = 10 + (n -1)-3

= 10 - 3n + 3

= 13 - 3n

Hope this helps.

Answer: -3n + 13

Step-by-step explanation:

Answer:

(C)x=3

Step-by-step explanation:

We want to solve for x in: [tex]\dfrac{x}{x-1} -\dfrac{1}{x-2}=\dfrac{2x-5}{x^2-3x+2}[/tex]

Take the LCM of the Left Hand Side

[tex]\dfrac{x(x-2)-1(x-1)}{(x-1)(x-2)} =\dfrac{2x-5}{x^2-3x+2}\\\dfrac{x(x-2)-1(x-1)}{x^2-3x+2} =\dfrac{2x-5}{x^2-3x+2}\\$Since we have the same denominator, then:\\x(x-2)-1(x-1)=2x-5\\x^2-2x-x+1-2x+5=0\\x^2-5x+6=0\\$Factorize\\x^2-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-3)(x-2)=0\\x-3=0$ or $x-2=0\\x=3$ or x=2[/tex]

However, substituting x=2 does not satisfy the given equation as it would make it undefined.

Therefore x=3

Answer:

(x, y) = (-404/55, 83/11)

Step-by-step explanation:

15x + 4y = -80

5x + 5y = 1

Multiplying both side of 2nd equation by 3:

=>

15x + 4y = -80

15x + 15y = 3

Subtracting the 1st equation from 2nd equation:

=>

11y =  83

Dividing both sides by 11 to work out y:

=> y = 83/11

Substituting y back into 2nd equation to work out x:

=> 5x + 5(83/11) = 1

=> 5x + 415/11 = 1

=> 5x = 1 - 415/11

=> 5x = -404/11

=> x = (-404/11)/5

=> x = -404/55

=> (x, y) = (-404/55, 83/11)

Hope this helps!

Answer:

FEA, DEF = 23 degrees

Step-by-step explanation:

Angles FEA and DEF are alternate interior angles. Alternate interior angles are congruent.

Therefore, FEA is congruent to DEF, and:

x + 20 = 6x + 5

Now, we solve this equation to find the value of x:x + 20 = 6x + 5

x + 20 = 6x + 5

20 = 5x + 5

15 = 5x

3 = x

Now, we know that the value of x is 3. We can plug this value into the equations to find the values of the angles.

x + 20

3 + 20

DEF = 23 degrees

6x + 5

6(3) + 5

18 + 5

FEA = 23 degrees.

In fact, you only need to find the measure of one of the angles, because you know that they are congruent.

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Answer:

230 - 151 + 180 + (43 - 12) = 290

Step-by-step explanation:

Use PEMDAS.

Evaluate the expression in the parentheses:

230 - 151 + 180 + (43 - 12)

43 - 12 = 31

230 - 151 + 180 + 31

Add and Subtract From Left to Right:

230 - 151 + 180 + 31

79 + 180 + 31

259 + 31

290

None of the given options are correct.

Answer:

18

Step-by-step explanation:

Evaluate the expression: 23^(0) - 15^(1) + 18^(0) + (43 - 12) = 18

Answer:

colorizing

Step-by-step explanation:

you should colorize the area that is the answer to an inequality on plane. thus, the colored area refers to the answer of it.

I'll be taking these points

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: £54.26

Step-by-step explanation:

Distance travelled = 195 miles

Petrol comsumption

= 195 / 4.1 = 1950 / 41 = 47.6

Cost of petrol = 47.6 x 1.14 = 54.26

Answer:

Approximately 54 pounds and 26 pence (£54.26) or just 54 pounds.

Step-by-step explanation:

The first thing I did to come to this conclusion was creating a table so that I could see that 4.1 miles over 1 liter equals 195 mils over x liters. Once I had done that to get x to equal ~47.6 I plugged that into yet another table where I had 1 liter equal £1.14 which was equal to ~47.6 equal £x. After that I divided the numerators by each other to get ~47.6, I multiplied the £1.14 by 47.6 to get an overall cost of £54.26 overall for the entire car trip.