The first four natural multiples of 8 are

Answer:

7.1 inches

Step-by-step explanation:

perimeter you go round from apointof your choice so

add 2+2=4

then apply 1/4πd for the round part

d=4 and it's quarter a circle then add them together

Answer:

7.1 inches

Step-by-step explanation:

To find the perimeter of the circle you would need to follow the formula: 2piR. Since r=2, 2*2=4. So 4 multiplied by pi (3.14 or 22/7). Since this is a quarter of a circle you would divide the answer 12.56 by four which equals 3.14. Now just add the extra two 2s left on the flat sides of the figure which ends up with your answer of 7.14 OR 7.1.

Hope this helps!! <3

Answer:

Step-by-step explanation:

common denominator

[tex](\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1[/tex]

Add with common denominator

[tex]\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.[/tex]

[tex]= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}[/tex]

[tex]=2* (\sqrt2)[/tex]

Answer:

A

Step-by-step explanation:

consider the form g(x) = aX^2, where a is negative, means the curve is flip upside down.

-3, shifted down for 3 units.

Answer:

100.

Step-by-step explanation:

Let the number of robberies be x ( in 2013).

Then x - 0.10x = 90

0.90x = 90

x = 90 / 0.90

= 100.

Answer: Kim - Resp after 24 months = $4,416.00

              Kim - Technology Fund after 24 months = $1,120.06

              Kim's Technology Fund has enough money to buy a laptop.

              Kim's Savings (Resp) will last less than 6 months

Step-by-step explanation for Kim:

January - June 2019

$14.50 + 30($0.25) = $22.00/hr

$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income

Taxable Income is $7920 - $1188 = $6732    (Annual Income $13,464)

→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income

Tech Fund (5%): $5999.04(0.05) = $299.95

Food Expense (30%): $5999.04(0.3) = $1,799.71

Clothing Expense (30%): $5999.04(0.3) = $1,799.71

Entertainment Expense (25%): $5999.04(0.25) = $1,499.76

Miscellaneous Expense (10%): $5999.04(0.1) = $599.90      

                                               Other Expenses: $5,699.08

July - December 2019 (excluding August)

$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income

Taxable Income is $6800 - $1020 = $5780    (Annual Income $12,512)

→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income

Tech Fund (5%): $5201.60(0.05) = $260.08

Food Expense (30%): $5201.60(0.3) = $1,560.48

Clothing Expense (30%): $5201.60(0.3) = $1,560.48

Entertainment Expense (25%): $5201.60(0.25) = $1,300.40

Miscellaneous Expense (10%): $5201.60(0.1) = $520.16      

                                              Other Expenses: $4,941.52

January - June 2020

same as January - June 2019

July - December 2020 (excluding August)

same as July - December 2019

[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]

Answer:

The statement, one fifth of the square of a number is written as

[tex] \frac{1}{5} {x}^{2} [/tex]

Hope this helps you

Step-by-step explanation:

x+y=12

3×+y=20

×=12-y

3 (12-y)+y=20

36-3y+y=20

36-4y=20

-4y=20-36

-4y= -16

y =16÷4

y=4

×+y=12

×+4=12

×=12-4

×=8

therefoer;y=4,x=8

Hey there! I’m happy to help!

Let’s first subtract 4 from 20 to see how much was lost.

20-4=16

Now, we see that 16 is a certain percent of twenty that we want to find. When talking about percents, the word “is” represents an equal sign. So, we can write this equation. We will have p represent our prevent.

16=20p (16 is a certain percent of 20)

Now, we solve by dividing both sides of the equation by 20 to isolate the p.

p=0.8

0.8 is 80% or 4/5, so 4/5 of the dam water has been lost.

Have a wonderful day! :D

Answer:

The slope of new figure A'B'C' = -1.2

A'B' = 3p units

A'C' = 3q units

Step-by-step explanation:

The value of each of the corresponding length of dilated figures (new image) = scale factor multiplied by the corresponding length in original figure.

scale factor = 3

Length of AB = p units

the length of AC = qunits

the length of BC = runits

A'B' = 3p units

A'C' = 3q units

B'C' = 3r units

slope of new figure = slope of previous figure

The slope remains the same = -1.2

The slope of the new figure is mathematically given as

dS=1.2

Question Parameter(s):

The slope of AB is -1.2.

The length of AB is punits

The length of AC is qunits

The length of BC is runits.

Generally, the lengths of the new region are mathematically given as

A'B' = 3p units

A'C' = 3q units

B'C' = 3r units

In conclusion, with the new region consistent in its increase across all regions the slope will remain

dS=1.2

Read more about Arithmetic

https://brainly.com/question/22568180

Answer:

The number of pink roses bloomed are 4.    

Step-by-step explanation:

The 210 angles in the standard position are shown in figure (A) option (A) is correct.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that:

The measure of the angle:

= 210 degrees

The reference angle can be defined as the angle formed between the terminal side and the x-axis, known as the reference angle.

The angle between the x-axis and the y-axis is 90 degrees.

The angle between the y-axis and the negative x-axis is 90 degrees.

The angle between the negative x-axis and the arrow shown in the coordinate plane is 30 degrees.

Thus, the 210 angles in the standard position shown in figure (A) option (A) is correct.

Learn more about the angle here:

brainly.com/question/7116550

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Answer:

Point form (2, -1/3   Equation form: x=2, y= -1/3

Step-by-step explanation:

Combine 4/3 and x

Replace all occurrences of y in 4x−6y=10 with 4x/3 -3

Simplify 4x− 6 (4x/3 -3)

Solve for x in the second equation.

Simplify  

4(2) /3−3

Answer:

$6.8

Step-by-step explanation:

Let x be the amount of money in Molly's amount

according to question,

4x-25=2.20

4x=2.20+25

4x=27.20

x=27.20/4

x=6.8

So,the amount of money in Molly's amont is $6.8

Answer: $6.80

Step-by-step explanation:

We will represent the amount of money that Molly has with a m. So it tells us the relationship between Kevin's amount and Molly's amount. It is says Kevin has 2.20 less that 4 times Molly's amount so we could represent it by the equation.

25 = 4m -2.20   solve for m.

+2.20     +2.20

27.20 = 4m

m= 6.8

4(6.8) = 27.20 - 25 = 2.20

Answer: 53x^7

Step-by-step explanation:

Subtracting a negative is like adding.

4/25

Step-by-step explanation:

16/100, 8/50, 4/25

Answer:

E=$19.307

Step-by-step explanation:

Total number of cards = 52

If you win then you will get $50

If you lose then you will give him $20

Therefore the probability

[tex]P(first\ card\ is\ face\ card)=\dfrac{12}{52}[/tex]

[tex]P(Second\ card\ is\ face\ card)=\dfrac{11}{51}[/tex]

[tex]P(Third\ card\ is\ face\ card)=\dfrac{10}{50}[/tex]

Thus the probability for all the three cards are face card

[tex]P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}[/tex]

P=0.0099

Thus the probability for all the three cards are not face card

P=1-0.0099=0.9901

P=0.9901

Therefore , expected value

[tex]E=20\times 0.9901-50\times 0.0099[/tex]

E=$19.307

Therefore the answer will be $19.307.

Answer: D. range

Step-by-step explanation:

To measure the center of the tendency we use Mean , median or mode depends on the type of data.

But when we discuss about the distance between the initial point and the final point in a data , we use 'range' as term for this.

Range= distance between initial and final point.

here, range = distance between the starting point and the point where water-skiing accident occurs.

Hence, the correct option is D. range

Answer:

60 2/5 x 5 = 60 x 5 + 2/5 x 5

60 x 5 = 300

2/5 x 5 = 2

300 + 2 = 302 so 302 is the answer

302 km for 5 hours

Step-by-step explanation:

Step-by-step explanation:

Km in 1 hour = 60 2/5 = 60.4km

Km in 5 hours = 60.4 x 5 = 302km

Answer:

                [tex]8\frac23\ cm^2[/tex]

Step-by-step explanation:

sector of the circle if the angle at the center is 150° means  [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius

area of a circle of given radius R is:  πR²

so area of given sector:

[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]

The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -

x² + y² = r²      (for circle centered at origin)

Given is a circle has a radius of 8 cm.

The area of the sector subtending the angle 150° at center is -

A = (150/360) x 3.1 x 8 x 8

A = 82.67 square centimeter.

Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

To solve more questions on circles, visit the link below-

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Answer:

A. (-8, 20)

Step-by-step explanation:

The formula for dilations is

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor

The first step is to plug in the numbers appropriately

[tex](-2*4,5*4)[/tex]

Then, multiply -2 by 4 and 5 by 4 to get

[tex](-8, 20)[/tex]

So your answer is (-8, 20)

Hope this helps

Have a great day! :)

Answer:

Option C

Step-by-step explanation:

=> [tex]729x^6+y^6[/tex]

=> [tex](9x^2)^3+(y^2)^3[/tex]

Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]

=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]

=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]

So, these are the two factors of the expression!

Answer:Keith

x=5,x=12

Step-by-step explanation:

Answer:

the answers are keith and -5,-12

Step-by-step explanation:

I just took the test and got a 5/5 the other person is incorrect.

Answer:

-2 and 3 along the horizontal line

Step-by-step explanation:

There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis

Answer:

what do u mean

Answer: FLOOR GANG OOOH

Step-by-step explanation:

Answer:

255 pounds.

Step-by-step explanation:

We can set up a proportion.

1 pound / 1.18 euros = x pounds / 300.9 euros

1.18 * x = 1 * 300.9

1.18x = 300.9

x = 255

255 pounds.

Hope this helps!

Answer:

300.90 € = £ 255

Step-by-step explanation:

£ 1 = 1.18 €

So,

1 € = £ 1/1.18

=> 1 € = £ 0.847

Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros

=> 300.90 € = £ 0.847 * 300.90

=> 300.90 € = £ 255

Answer:

[tex]\huge\boxed{x = 8,\ but\ x = 3\ is\ extraneous}[/tex]

Step-by-step explanation:

[tex]\sqrt{x+1}+5=x\\\\\text{Domain:}\ x+1\geq0\to x\geq-1\\\\\sqrt{x+1}+5=x\qquad\text{subtract 5 from both sides}\\\sqrt{x+1}=x-5\qquad\text{square both sides}\\(\sqrt{x+1})^2=(x-5)^2\qquad\text{use}\ (\sqrt{x})^2=x\ \text{and}\ (a-b)^2=a^2-2ab+b^2\\x+1=x^2-2(x)(5)+5^2\\x+1=x^2-10x+25\qquad\text{subtract}\ x\ \text{and}\ 1\ \text{from both sides}\\0=x^2-11x+24[/tex]

[tex]ab=24;\ a+b=-11\\a=-8;\ b=-3\\\\x^2-11x+24=0\\x^2-8x-3x+24=0\qquad\text{distribute}\\x(x-8)-3(x-8)=0\qquad\text{distribute}\\(x-8)(x-3)=0\\\\\text{The product is 0 if one of the factors is 0. Therefore}\\(x-8)(x-3)=0\iff x-8=0\ \vee\ x-3=0\\x-8=0\qquad\text{add 8 to both sides}\\\boxed{x=8}\in D\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\in D[/tex]

[tex]\text{For}\ x=8:\\\sqrt{8+1}+5=8\\\sqrt{9}+5=8\\3+5=8\\8=8\qquad\bold{CORRECT}\\\text{For}\ x=3:\\\sqrt{3+1}+5=3\\\sqrt4+5=3\\2+5=3\\7=3\qquad\bold{FALSE}[/tex]

Answer:

A. 3x - 2y = 5

Step-by-step explanation:

Given line in the graph has the following properties:

using point (2,3)

m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2

New line passes through y0(3,2), so use the point-slope form

(y-y0) = m (x-x0)

substitute in value y0(3,2)

y - 2 = (3/2) (x - 3)

multiply by 2 on each side

2y - 4 = 3x - 9

simplify and rearrange

3x - 2y = -4 + 9 =5

3x - 2y = 5

Answer:

B. [tex]1\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]

[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]

[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7

8/7=[tex]1\frac{1}{7}[/tex]

Hope this helped!!!

Answer: $36

Step-by-step explanation:

When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:

First, we have to convert 3 months into years

3 months = 3/12 =0.25 years

Then, find the interest by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

In this example

P = $1200

I = 12%

t = 0.25 years

Then:

I = 1200 × 0.12 × 0.25

I = 36

Answer:  $36

Step-by-step explanation:

3/12x1200x0.12=36

SIMPLE INTEREST FORMULA

TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR

DIVIDE BY 100 FOR INTEREST SHOWN

AND MULTIPLY TO SOLVE