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The equation of circle C is (x+2)2+(y−3)2=25. If circle D is concentric with circle C and has a radius of 3, what is the equation of circle D?

Answer:

The volume would be 7.5 in3

Hope this helps!

Brainliest??

Answer:

the volume is 7.85in³

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 1 1/2 in. and the height is 10 in. . ... Therefore, the volume of the cylinder is about 7.85 in³.

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Question isnt well formatted :

Answer:

1 : 6

Step-by-step explanation:

Given the question :

3x = 1/2y

3x = y/2

Multiply both sides by 2

3x * 2 = y/2 * 2

6x = y

This can be interpreted as :

y = 6 times the value of x

x = y/6

x : y

1 : 6

Answer:

You have to break it into two rectangles.

Step-by-step explanation:

Once you have it in two rectangles, I found the width of the smaller rectangle because I know the whole side is 16.  I know the larger rectangle has a width of 13.  I subtracted to find that extra little bit of space is 3.  The formula for a rectangle is length x width.  Now you just need to find the area of each rectangle and add them together.

Answer:

Step-by-step explanation:

so what I did is made the full rectangle then removed the blank.

21x16=336

Now the blank space

16x3=48

336-48=288

Answer:

33 Cubic inches

Step-by-step explanation:

The volume, in cubic inches, of the second cylinder is,

⇒ 210 inches³

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Chandni compares two cylinders. Both cylinders have an identical base.

Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.

And, The second cylinder has a height of 7 inches.

Let the volume, in cubic inches, of the second cylinder is, x

Hence, We can formulate;

120 / 4 = x / 7

⇒ 120 × 7 = 4x

⇒ 4x = 840

⇒ x = 210 inches³

Thus, The volume, in cubic inches, of the second cylinder is,

⇒ 210 inches³

Learn more about the mathematical expression visit:

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Answer:

1/6

is the probability

ok

Answer:

it is surface area have a good day

Step-by-step explanation:

Answer:

Surface Area!!

Step-by-step explanation:

Answer:

DEF = 110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

     = 3*35 +5

    = 105+5

   = 110

let garden table be 1 unit.

1 unit + 1 unit+ 56 = 844

2 units+56=844

2 units=844-56=788

1 unit=788 divided by 2 =394

hence, cost of bench = 1 unit+56=394+56=450

hope it helps:))

Answer:

(60.382 ; 83.998)

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of error

Mean = 72.19

The margin of error is : Tcritical * s/√n

n = 13 ; s = 15.88

Tcritical at 98%, df = 13-1 = 12 = 2.681

Margin of Error = 2.681 * 15.88/√13 = 11.808

Confidence interval = 72.19 ± 11.808

(60.382 ; 83.998)

Answer:

Point estimate = 0.25

Step-by-step explanation:

Complete question

Calculate the point estimate

Solution

Let A represents the number of adult males who smoke cigarettes

Calculation of 95% confidence interval for proportion of adult males who smoke cigarettes

[tex]p-z_\alpha \frac{p(1-p)}{n}[/tex] , [tex]p+z_\alpha \frac{p(1-p)}{n}[/tex]

[tex]p-z_\alpha \frac{p(1-p)}{n} = 0.22\\p+z_\alpha \frac{p(1-p)}{n} = 0.28[/tex]

Point estimate

Adding the above given equations we get -

2 * p = 0.50

p = 0.25

Answer:

4 squareroot 2

Step-by-step explanation:

The answer is 4 squareroot 2

Answer:

Incomplete question, but you use the normal distribution to solve it, with [tex]\mu = 23.5[/tex] and [tex]\sigma = 3.6[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes.

This means that [tex]\mu = 23.5, \sigma = 3.6[/tex]

Thus

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - 23.5}{3.6}[/tex]

Find the probability that the patron will have to wait:

More than X minutes:

1 subtracted by the p-value of Z

Between A and B minutes:

p-value of Z when X = A subtracted by the p-value of Z when Z = B.

Less than X minutes.

p-value of Z.

Answer:

C and E

Step-by-step explanation:

use desmos

[tex]\longrightarrow{\blue{ C. \:\: {5}^{2x} \times 5 }}[/tex] 

[tex]\longrightarrow{\blue{ E. \:{25}^{x} \times 5 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

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

[tex]\boxed{ C.}[/tex] [tex] \: {5}^{2x} \times 5[/tex]

➺[tex] \: {5}^{2x} \times {5}^{1} [/tex]

➺[tex] \: {5}^{2x + 1} [/tex]

[tex]\boxed{ E. }[/tex] [tex] {25}^{x} \times 5[/tex]

➺[tex] \: ({ {5}^{2} })^{x} \times {5}^{1} [/tex]

➺[tex] \: {5}^{(2 \times x) + 1} [/tex]

➺[tex] \: {5}^{2x + 1} [/tex]

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

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Step-by-step explanation:

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Answer:

63 yd³

Step-by-step explanation:

V = lwh

V = 7 × 3 × 9

V = 189

Since the cubes are 1/3 yd³, you now multiply the volume of this figure which is if it were a 1 yd³.

189 × [tex]\frac{1}{3}[/tex]

63 yd³

Answer:

(3 1/2 , -4)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x = 3 1/2 and y = -4

(3 1/2 , -4)

Answer:

SinA=5/1 3 CosA=12/13 tanA=5/12. SinC=12/13 CosC=5/13 and tanC=12/5

Step-by-step explanation:

Basically find the third side by Pythagorean theorem which would get you 13. So 13 is the hypotenuse. Remember these 3 formulas. Sin=Opposite/Hypotenuse Cos=Adjacent/hypotenuse and Tan=opposite/Adjacent. So for Sin a the opposite side to angle A is 5. The hypotenuse is always the same which would be 13. So Sin a is 5/13. For cos the side adjacent would be 12. So it is 12/13. *Note Hypotenuse cannot be considered the adjacent.

Answer:

sin A = 5/13,  cos A = 12/13,  tan A = 5/12,  sin C = 12/13, cos C = 5/13, tan C = 12/5

Step-by-step explanation:

According to Pythagoras, hypotenuse = √{(12)^2+(5)^2}. So, hypotenuse = 13. (See picture if confused).

sin A = 5/13

cos A = 12/13

tan A = 5/12

sin C = 12/13

cos C = 5/13

tan C = 12/5

Answer:

The correct options are:

3x - 4y = 15

15x - 20y = 75

(fourth option, counting fom the top)

5x + 6y = 20

-10x - 12y = -40

(last option)

Step-by-step explanation:

A system of linear equations has infinitely many solutions if and only if both equations define the same line.

Then we need to see which option describes twice the same line.

From the given options, the two with infinitely many solutions are:

3x - 4y = 15

15x - 20y = 75

How we check that? remember that we can multiply (or divide) both sides of an equation by the same number, and the equation remains unchanged.

So, if we take the first equation and multiply both sides by 5, we get:

5*(3x - 4y) = 5*15

15x - 20y = 75

Which is the same as the other equation, so both equations describe the same line.

The other system is the last one:

5x + 6y = 20

-10x - 12y = -40

If we take the first equation and multiply both sides by -2, we get:

-2*(5x + 6y) = -2*20

-10x - 12y = -40

So, again, both equations describe the same line.

Answer:

The answer is 3k^2m^6/4

Answer:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Step-by-step explanation:

A two-digit number can be written as:

a*10 + b

Where a and b are single-digit numbers.

a is the tens digit

b is the units digit.

the reverse number is:

b*10 + a

We know that:

"If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number"

Then:

(a + b)*10 = b*10 + a + 9

We now need to solve this for a and b, where the other restriction that we have is that a and b can be any whole number of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Then:

(a + b)*10 = b*10 + a + 9

a*10 + b*10 = b*10 + a + 9

subtracting b*10 in both sides, we get:

a*10 = a + 9

solving this for a, we get:

a*10 - a = 9

a*(10 - 1) = 9

a*9 = 9

a = 9/9

a = 1

and notice that we do not have any restriction for b.  So b can be any number of the set.

for example, if b = 2

a*10 + b = 12

now let's test the property:

10*(1 + 2) = 2*10 + 1 + 9

30 = 20 + 10 = 30

now if b = 4, we have:

a*10 + b = 1*10 + 4 = 14

10*(1 + 4) = 4*10 + 1 + 9

50 = 50

So we can see that for any value of b, this will work.

So the only restriction that we have, is that a must be equal to 1.

Then the numbers are:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

The possible numbers are 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19

Assume the digits of the two-digit number are x and y, where:

So, the original number (n) is:

[tex]n = 10 \times x + y[/tex]

When the digits are added, and multiplied by 10, we have the following equation:

[tex](x + y) \times 10 = 9 + (y \times 10 + x)[/tex]

Expand the equation

[tex]10x + 10y = 9 + (10y + x)[/tex]

Remove bracket

[tex]10x + 10y = 9 + 10y + x[/tex]

Subtract 10y from both sides

[tex]10x = 9 + x[/tex]

Subtract x from both sides

[tex]9x = 9[/tex]

Divide both sides by 9

[tex]x = 1[/tex]

Recall that the number is represented as:

[tex]n = 10 \times x + y[/tex]

So, we have:

[tex]n = 10 \times 1 + y[/tex]

[tex]n = 10 + y[/tex]

This means that, the possible numbers are from 10 to 19

Read more about two-digit numbers at:

https://brainly.com/question/23846183

Answer:

3rd option

Step-by-step explanation:

Answer:

Its the third one because it has equal sides because the others are not.

Step-by-step explanation:

Answer: [tex]\dfrac{32}{3}[/tex]

Step-by-step explanation:

Given

The parabolas are [tex]x^2=2y[/tex] and [tex]y^2=16x[/tex]

Find the point of intersection of two parabolas

[tex]\Rightarrow \left(\dfrac{x^2}{2}\right)^2=16x\\\\\Rightarrow x^4=64x\\\Rightarrow x(x^3-64)=0\\\Rightarrow x=0,4[/tex]

Obtain y using x

[tex](x,y)\rightarrow (0,0)\ \text{and }(4,8)[/tex]

Area enclosed between the two is

[tex]\Rightarrow I=\int\limits^4_0 ({4\sqrt{x}-\dfrac{x^2}{2}}) \, dx\\\\\Rightarrow I=\left ( 4\times \dfrac{2}{3}x^{\frac{3}{2}}-\dfrac{x^3}{2\times 3} \right) _0^4\\\\\Rightarrow I=\left ( \dfrac{8}{3}\times 8-\dfrac{4^3}{6} \right )-0\\\\\Rightarrow I=\dfrac{128-64}{6}\\\\\Rightarrow I=\dfrac{64}{6}\\\\\Rightarrow I=\dfrac{32}{3}[/tex]

Thus, the area bounded by the two parabolas is  [tex]\dfrac{32}{3}[/tex] sq. units.

Answer:

108 cm²

Step-by-step explanation:

the surface area is the sum of all individual shapes areas on the surface.

2 right-angled triangles

3 rectangles

area of a right-angled triangle is At = a×b/2

At = 4×3/2 = 6 cm²

we need it twice : 12 cm²

one rectangle (length×width) = 8×3 = 24 cm²

one rectangle = 8×4 = 32 in²

one rectangle = 8×5 = 40 cm²

total surface area

A = 12+24+32+40 = 108 cm²

an area is always a square unit (power of 2).

a volume is always a cubic unit (power of 3).

and a length is always a simple unit (power of 1).

Answer:

188 children, 190 adults

Step-by-step explanation:

For this equation, let c be the number of children, and a represent the number of adults.

On this day 378 total people were at the park, so

a + c = 378   eq 1

Each adult pays $4, so the admission fee for ALL adults will be $4 multiplied by the number of adults , a, so 4a

Use the same method for the children, and the total all children paid is 1.50c

From all the children and adults, the total was 1042, so merge the 2 cost variables together.

4a + 1.50c = 1042   eq 2

the 2 equations we will use are

a + c = 378

4a + 1.50c = 1042

From equation 1, subtract c from both sides, and

a = 378 - c     eq 3

Substitute the value of a in eq 3 into equation 2

4a + 1.50c = 1042

4 (378 - c) + 1.50c = 1042

1512 - 4c +1.50 c = 1042 (collect like terms)

1512 - 1042 = 4c -1.50 c

470 = 2.5 c

c = 470 /2.5

c = 188 children

Substitute the value of c into eq 3 to get the value of a

a = 378 -c

a = 378 - 188

a = 190 adults