How to solve and answer to the question

Given:

Radius of small circle = 4 in.

Width of gray border = 2 in.

To find:

The area of the gray border.

Solution:

We have, radius of small circle:

[tex]r=4\text{ in.}[/tex]

The width of gray border is 2 in. So,t he radius of the larger circle is:

[tex]R=4+2\text{ in.}[/tex]

[tex]R=6\text{ in.}[/tex]

Now, area of gray border is the difference for area of larger circle and smaller circle.

[tex]A=\pi R^2-\pi r^2[/tex]

[tex]A=\pi (R^2-r^2)[/tex]

Substituting [tex]r=4,\ R=6[/tex] in the above formula, we get

[tex]A=\pi (6^2-4^2)[/tex]

[tex]A=\pi (36-16)[/tex]

[tex]A=\pi (20)[/tex]

[tex]A=20\pi[/tex]

The area of the gray border is [tex]20\pi [/tex] square inches. Therefore, the correct option is D.

Answer:

CHerry emoji

Step-by-step explanation:

Answer:

The probability of drawing a blue marble is the same as drawing either a red or a green marble. and the probability of not drawing a blue marble is 50%.

Step-by-step explanation:

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

[tex]a_{n} =a_{1} +(n-1)d[/tex]

Where [tex]a_{1}[/tex] is the first term, [tex]a_{n}[/tex] is the nth term, and [tex]d[/tex] is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do [tex]10-2[/tex], which is [tex]8[/tex] , or the common difference. Since we have everything we need, it can be plugged into the equation:

[tex]a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482[/tex]

So, the 61st term is 482.

Answer:

3

Step-by-step explanation:

see image below:)

Answer:

[tex]\frac{22^7}{823543}[/tex] B. 3

Step-by-step explanation:

Answer:

Have a nice day :)

Step-by-step explanation:

To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6

Answer:

given the information all your chances will be out of a 100% you don't have to convert these numbers because there is already only 100 people allowed to enter meaning you are 1 out of 100 people entered and have a 1/100 (1%) chance of winning and a 99/100 (99%) chance someone else winning

Answer:

b = 31°

Step-by-step explanation:

b + 59 = 90

b = 90 - 59

b = 31°

Answer:

31

angles on a line = 180°

so, 90-59-b=180°

Step-by-step explanation:

15 = 1000

its done .

may it helped u

Answer:

30

Step-by-step explanation:

25-10 = 15

15 x 2 = 30

------------------

First we must get the difference between 25 and 10.

[tex]25 - 10 = \green{15}[/tex]

Next, we must double the answer.

[tex]15 \times 2 = \bold \blue{30} \\ \tt or \\ {15}^{2} = \purple {\sf{30}}[/tex]

Stay safe!

Answer:a box and whisker plot

Step-by-step explanation:

Just took the quiz

9514 1404 393

Answer:

  (a)  2

Step-by-step explanation:

Simplify this fraction the same way you would any fraction: cancel common factors from numerator and denominator.

  [tex]22x^2y^2\div11x^2y^2=\dfrac{22x^2y^2}{11x^2y^2}=\dfrac{2\cdot11x^2y^2}{11x^2y^2}=2\cdot\dfrac{11x^2y^2}{11x^2y^2} = 2\cdot1 = \boxed{2}[/tex]

Answer:

56.52

Step-by-step explanation:

Since the formula for the volume of a cone is V = (1/3)*π*r^2*h, we need to multiply the fraction 1/3, the value of pi (assuming you meant 3.14), the radius squared, and the height together to get the volume. Diameter is radius times 2, so to find the radius, multiply the diameter by .5, ending up with 3. 3^2 is 9. 1/3*3.14*9*6 is equal to 56.52.

Answer:

5+x

Step-by-step explanation:

the variable x represents the number

five more than the number, meaning we have to add 5 to the number

5+x

Answer: x+5

Step-by-step explanation:

Answer:

this equation means that if your multiple the amount of days by -63 and add 825 you'll get the amount of cans

can substitute 10 in as x so

-63(10)+825

-630+825

195

so the soup kitchen will have 195 cans after 10 days

Answer:

step c

Step-by-step explanation:

Answer:

x = 76°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

30° + 74° + x = 180°

Step 2: Solve for x

Answer:

x° = 76 °

Step-by-step explanation:

We know that sum of interior angles of triangle is 180 °.

74 ° + 30 ° + x° = 180 °

combine like terms

104 ° + x° = 180 °

subtract each side by 104°

x° + 104 ° - 104 ° = 180 ° - 104 °

x° = 76 °

Answer:

37.5 quarts

Step-by-step explanation:

4 cups = 1 quart

150/4=37.5

Answer:

there are 37.499999997608 quarts in 150 cups

Answer:

m = 11581.2 grams

Step-by-step explanation:

Given that,

The density of the ball, d = 0.2 g/in³

The radius of the ball, r = 24 inches

We need to find the mass of the ball in grams.

The density of an object is hiven by :

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\dfrac{4}{3}\pi r^3}\\\\m=\dfrac{4}{3}\pi r^3\times d[/tex]

Put all the values,

[tex]m=\dfrac{4}{3}\pi \times 24^3\times 0.2\\\\m=11581.16\ g[/tex]

or

m = 11581.2 grams

Hence, the mass of the ball is 11581.2 grams.

I'm sorry I can't answer that but I know something so you can answer that. search in browser 'quickmath' all your problems, equations and more can be solved

Step-by-step explanation:

I hope it helps trust me

Answer:

13 cm

Step-by-step explanation:

slant height = [tex]\sqrt{12^2 +\frac{10^2}{4} }[/tex]

=[tex]\sqrt{144 + \frac{100}{4} }[/tex]

=[tex]\sqrt{144 + 25}[/tex]

=[tex]\sqrt{169}[/tex]

=13 cm

a=10 cm

l =

surface area =[tex]a^{2} + 2a \sqrt{\frac{a^{2} }{4} +h^{2} }[/tex]

=[tex]10^{2} +2*10 \sqrt{\frac{10^{2} }{4} +12^{2} } \\100 + 20 \sqrt{\frac{100}{4} + 144} \\100 + 20\sqrt{25 + 144} \\100 + 20 \sqrt{169} \\100 + 20*13\\100 + 260\\360 cm^2[/tex]

Answer:

y=12, x=6

Step-by-step explanation:

y+3=15

3x-6=12

Answer:

A: Parameter

B: Population

C: Statistic

D: Variable

E: Sample

F: Data

Step-by-step explanation:

A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.

B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.

C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.

D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.

E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.

F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.

Answer:

2/8

Step-by-step explanation:

Answer:

27/64

Step-by-step explanation:

3/4 to the second power is 9/16. 3/4 to the third power is 27/64

Answer:

a) F(x) = 28,000( 1.00575 )^12x  + 12,000e^0.098x

b)  F'(x ) = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 1176 e^0.098x  dollar per year

c) 3228.94 dollar/year,   3428.73 dollar/year

Step-by-step explanation:

Capital = $40,000

$28,000 = low-risk mutual fund

6.9% monthly compounded interest for the low risk mutual fund

$12,000  = high-risk yield bound fund

9.8% continuously compounded interest

A) Equation for total amount in two investments

F(x) = F1(x) + F2(x) ----- ( 1 )

where :

F1(x) ( future value for monthly compounded interest)

=  28,000( 1 + 0.069/12 )^12x = 28,000 ( 1.00575 )^12x

F2(x) ( future value for continuously compounded interest )

= ( 40,000 - 28,000 )e^0.098x = 12,000 e^0.098x

back to equation 1

F(x) = 28,000( 1.00575 )^12x  + 12,000e^0.098x

B Rate of change equation

f'(x) = d/dx (28,000( 1.00575 )^12x) + d/dx ( 12,000e^0.098x )

∴ f'(x) = 28,000 d/dx (1.00575^12)^x + 12,000 d/dx(b^x)

         = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 12,000 ( In b ) ( b^x )

  f'(x ) = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 1176 e^0.098x  dollar per year

C) Determine how rapidly the combined amount will grow after 6 months and after 15 months

i.e. x = 0.5 , x = 1.25 years

after 6 months

28,000 ( In 1.071224 ) ( 1.071224 )^(0.5) + 1176*e^((0.098(0.50))

=  1993.88  + 1235.06 = 3228.94 dollar/year

after 15 months

28,000 ( In 1.071224 ) ( 1.071224 )^(1.25) + 1176*e^((0.098(1.25 ))

=   2099.47  +  1329.26 = 3428.73 dollar/year

Answer:$1500

Step-by-step explanation:

Answer:

I got 49/40.

Hope this helps.

Answer:

[tex]1\frac{9}{40}[/tex]

Step-by-step explanation:

Answer:

The distribution is negatively (left) skewed

Step-by-step explanation:

Notice how most of the data is clustered on the right side of the distribution and there's more spread in the left side of the data, meaning the left tail is longer. This creates a negative skew in the data. Review the attached diagram to learn more.