what is the radius of 16\pi

Answer:

33 1/3

Step-by-step explanation:

1. First, you want to make 6 into a fraction with a bottom/denominator of 3 to make adding 6 and 2/3 easier.  So, to make 6 into a fraction with a denominator of 3 , you multiply 6 by 3 to get 18.  The 18 is the numerator (top of the fraction) and 3 is the denominator (the bottom).  So now you have 18/3+2/3 divided by 1/5.

2. Now, add the 18/3 and the 2/3 to get 20/3 divided by 1/5.

3. After this, you want to divide.  To divide fractions, you use Keep, Change, Flip (KCF).  To do this, keep the 20/3 the same, change the division sign to multiplication, and flip the 1/5 to 5/1.  So, now you have 20/3 multiplied by 5/1.

4. Simplify this by multiplying 20 by 5 and 3 by 1 to get 100/3.

5. Now we have to create 100/3 into a mixed number.  To do this, we know that 33 multiplied by 3 is 99, which is as close as we can get to 100 without going over.  This means that we can make 100/3 into 33 and 1/3.  

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The mixed fraction is 33 1/3.

A fraction represented with its quotient and remainder is a mixed fraction.

Given:

​6 2/3÷1/5​

On further solving the given expression

=20/3 ÷1/5​

Now, division of fraction is not possible

so,

=20/3 * 5/1

=100/3

=33 /13

Hence, the mixed fraction is 33 1/3.

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Answer:

y = 4/3

Step-by-step explanation:

the expression can be written as,

(x^8)^1/3 divided by (x^4)^ 1/3

so by using the rules of powers we can deduce y = 4/3

The rules are,

1. (x^y)^z = X^y*z

2. x^y * x^z = x^ y+z

3. x^y / x^z = x^ y-z

Hence,

8/3 -4/3 = 4/3

Step-by-step explanation:

this is your answer.........

The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2x + 21 = 7(x + 3) – 5x

Simplifying the equation, we have

2x + 21 = 7x + 21 – 5x

2x + 21 = 2x + 21

        0 = 0

The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.

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Answer:

The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.

Step-by-step explanation:

let x be the first angle then the  the second angle is  x - 18 and the third angle = x + 10

The 3 angles add up to 180 so:

x + x - 18 + x + 10 = 180

3x = 180 + 18 - 10 = 188

x = 188/3 = 62 2/3 degrees.

x - 18 = 44 2/3

x + 10 = 72 2/3.

Answer:

The dimensions are 24 and 12 meters.

Step-by-step explanation:

W + L + W + L = 72   perimeter

(L-12) + L + (L-12) + L = 72

4L - 24 = 72

4L = 72 + 24 = 96  ====>  L = 96%2F4 = 24.

-56 is the whole number

0.5 is the fraction part (0.5 = 1/2)

If we put them back together, we get;

-56 1/2

Best of Luck!

Rounding 452,906 to each place is

(a) to nearest hundred thousand is 500,000

(b) to nearest ten thousand is 450,000

(c)to nearest  thousand is 453,000

(d) to nearest  hundred is 452,900

(e) to nearest  tens is 452,910

Given :

Round the number 452,906 to each place given below

(a) Round to nearest hundred thousand

In the given number , 4 is in hundred thousand's place

To round to nearest hundred thousand, we look at the number in ten thousands place that is 5. 5 is equal to 5. So we add 1 with the number in hundred thousand . write 0 in remaining places

452,906,  Round to nearest hundred thousand is 500,000

(b) To round to nearest ten thousand, we look at the number in thousands place that is 2. 2 s less than 5. So we  keep 5 in ten   thousands place . write 0 in remaining places

452,906,  Round to nearest ten thousand is 450,000

(c)To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  thousand is 453,000

(d) To round to nearest hundred, we have 0 in tens place that is less than 5. So write 9 as it is  and  0 in remaining places

452,906,  Round to nearest  hundred is 452,900

(e) To round to nearest ten , we have 6 in one's place that is greater than 5.

So add 1 with 0  and write 0 in one's place

To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  tens is 452,910

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Step-by-step explanation:

Let [tex]$X_1, X_2, X_3,$[/tex] . . . ,Xn be the random sample of n employee's sick days. It is given that the random samples follows the  Normal distribution along with standard deviation of 7 days. Let

[tex]X_i\sim N(\mu ,7)[/tex]

[tex]\bar{X} =\frac{1}{n}\Sigma X_i\sim N(\mu,\frac{7}{\sqrt n})[/tex]

or   [tex]Z=\frac{\bar{X}-\mu}{7 /\sqrt n} \sim N(0,1)[/tex]

So,

[tex]P(-Z_{\alpha /2} \leq Z\leq Z_{\alpha /2} ) = 1- \alpha[/tex]

[tex]P(-Z_{\alpha /2} \leq \frac{\bar{X}- \mu}{7 / \sqrt n}\leq Z_{\alpha /2} ) = 1- \alpha[/tex]

[tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} \leq \mu \leq \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} ) = 1- \alpha[/tex]

Therefore, the confidence interval of the population mean for α = 0.05 is

= [tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} , \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} )[/tex]

= [tex]P(21-\frac{7}{\sqrt 20} Z_{0.05 / 2} , 21+\frac{7}{\sqrt 20} Z_{0.05 / 2} )[/tex]

= (17.93, 24.07)

Answer:

b= 3

Step-by-step explanation:

2b +4 = 3b +1

-2b. -1

b = 3

Answer:

Step-by-step explanation:

(2 - 0)/(0 + 2)= 2/2= 1

y - 0 = x + 2

y = x + 2

First find the height of the cylinder:

15.2 -0.5 = 14.7

The formula for a circle is : V= [tex]\pi r^{2}[/tex] h

V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)

V= (3.14) (5.4)² (14.7) simplfy

V= 1345.96728

Answer:

19 1/18 miles.

Step-by-step explanation:

For Tuesday's ride we need to multiply 10 8/9 by 3/4.

10 8/9 = (9*10+8) / 9 =  98/9 miles.

98 / 9  * 3/4

= 98/3 * 1/4

49/6

= 8 1/6 miles.

Total miles over 2 days = 10 8/9 + 8 1/6

= 18 + 8/9 + 1/6

= 18 +  48/54 + 9/54

= 18 57/54

= 19 3/54

= 19 1/18 miles.

Step-by-step explanation:

Probability of heads is 1/2, and the probability of tails is 1/2.  The probability of getting no heads (3 tails) is:

P = (1/2)³

P = 1/8

P = 0.1250

Answer:

how many hours times repair service

Step-by-step explanation:

Answer:12.50×20

Step-by-step explanation:

12.50. ×20=67.50

Answer:

18.85

Step-by-step explanation:

Answer:

No. C

Step-by-step explanation:

please mark me brainleast

Table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

y vary directly with x

y ∝ x

y = kx

k is the constant.

k = y/x

Checking table A:

k  = -2/1 = -4/2 ≠ -16/3

Checking table B:

k = -5/1  ≠  18/2 = 41/3

Checking table C:

k = 26/1 = 52/2 = 78/3 = 26

Thus, table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.

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Answer:

regular number; base

Step-by-step explanation:

Answer:

1. Multiplication

2. 8

3. 8^3=512

Answer:

s

Step-by-step explanation:

Answer:

1)  m=0.0083....

Step-by-step explanation:

-0.06 divided by 7.2. that isolates m.

Answer:

8748

Step-by-step explanation:

a^5b^-6

when replacing the variables with their values :

3^5 -6^2

3^5 = 3*3*3*3*3 = 243

(-6)^ 2 = 36

243 * 36 =

8748

Answer:

all exept 1

Step-by-step explanation:

blah blah blah

Answer:

50 divided by 5: 10.

5 divided by 50: 0.1

Step-by-step explanation:

Here we will show you step-by-step with detailed explanation how to calculate 50 divided by 5 using long division.

Before you continue, note that in the problem 50 divided by 5, the numbers are defined as follows:

50 = dividend

5 = divisor

Start by setting it up with the divisor 5 on the left side and the dividend 50 on the right side.

The divisor (5) goes into the first digit of the dividend (5), 1 time(s). Therefore, put 1 on top.

Multiply the divisor by the result in the previous step (5 x 1 = 5) and write that answer below the dividend.

Subtract the result in the previous step from the first digit of the dividend (5 - 5 = 0) and write the answer below.

Move down the 2nd digit of the dividend (0)

The divisor (5) goes into the bottom number (0), 0 time(s). Therefore, put 0 on top.

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer at the bottom.

Subtract the result in the previous step from the number written above it. (0 - 0 = 0) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 50 divided by 5 OR 5 divided by 50 calculated using Long Division is:

Answer: Constant

Step-by-step explanation: It is a straight horizontal line with no dips or curves, so it is constant.

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Answer:

Constant

Step-by-step explanation:

It must be constant because the line is neither increasing or decreasing

Answer:

C. 42.

Step-by-step explanation:

This is an arithmetic sequence with common difference d = 4 and first term a = -3.

Sum of n terms = (n/2)[2a + (n - 1)d]

Sum of  six terms = (6/2)[2(-3) + (6 - 1)4]

= 3 * (-6 + 20)

= 42.

Answer:

C) 42

Step-by-step explanation:

Given is an Arithmetic Sequence, where

First term a = - 3

Common Difference d = 1-(-3)= 4

n = 6

[tex]S_6=? \\ \\ \because \: S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_6 = \frac{6}{2} \{2 \times ( - 3) + (6 - 1)4 \} \\ \\ \therefore \: S_6 = 3 \{ - 6 + 20\} \\ \\ \therefore \: S_6 = 3 \times 14 \\ \\ \huge \red{ \boxed{ \therefore \: S_6 = 42}}[/tex]

Answer:

-3 1/8.

Step-by-step explanation:

−7/8 − 2 1/4

= -7/8 + -9/4

= -7/8 - 18/8

= -25/8

= -3 1/8.