The formula for the circumference of a circle is C = 2r. What is one-fourth of the circumference of a circle that measures 12 centimeters around? If necessary, use 3.14 for .

Answer:

What do mean by equals 16?

Step-by-step explanation:

1/2x+8=16

1/2x=16-8

1/2x=8

x=8:1/2

x=8*2

x=16

Hope this helps! <3

Answer:

False, it's a whole number.

Step-by-step explanation:

Answer:

892.85 miles for 22 days

Step-by-step explanation:

When an exponent is multiplied directly into another exponent, you multiply the exponents.

For example:

[tex](x^{2})^5=x^{2(5)}=x^{10}[/tex]

[tex](x^{4})^3=x^{4(3)}=x^{12}[/tex]

[tex](x^{3}y^{2} )^2=x^{3(2)}y^{2(2)}=x^6y^4[/tex]

When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.

For example:

[tex]x^{-2}[/tex] or [tex]\frac{x^{-2}}{1} =\frac{1}{x^2}[/tex]

[tex]\frac{1}{y^{-3}} =\frac{y^3}{1}[/tex] or y³

[tex](p^{10} r^{-5})^{\frac{1}{5}}=p^{10(\frac{1}{5})}r^{-5(\frac{1}{5})}=p^{\frac{10}{5}} r^{\frac{-5}{5}}=p^2r^{-1}=\frac{p^2}{r^1}=\frac{p^2}{r}[/tex]

[tex]p\%=\dfrac{p}{100}\\\\40\%=\dfrac{40}{100}=\dfrac{4}{10}=0.4\\\\40\%\ of\ \$1200\ is\ 0.4\cdot\$1200=\$480\\\\Answer:\ \text{He spend}\ \$480.[/tex]

Final answer:

To determine the amount Stephen spent from his $1200 at 40%, the percentage is converted to a decimal (0.40) and multiplied by $1200, resulting in $480 spent.

Explanation:

Stephen had $1200. To calculate the amount of money he spent after using 40% of his money, we need to find 40% of $1200. We can write this as 0.40 × $1200.

Step 1: Convert the percentage into a decimal: 40% = 0.40

Step 2: Multiply the decimal by the total amount of money Stephen had: 0.40 × $1200 = $480.

Hence, Stephen spent $480 out of his $1200.

Answer:

[tex](3,3\frac{1}{5})[/tex]

Step-by-step explanation:

We use the formula;

[tex](\frac{mx_2+nx_1}{2},\frac{my_2+ny_1}{2})[/tex]

where m:n=2:3 and [tex]x_1=1,x_2=6,y_1=4,y_2=2[/tex]

We substitute these values to get;

[tex](\frac{2(6)+3(1)}{2+3},\frac{2(2)+3(4)}{2+3})[/tex]

We simplify to get:

[tex](\frac{15}{5},\frac{16}{5})[/tex]

[tex](3,3\frac{1}{5})[/tex]

Answer:

(3,16/5)

Step-by-step explanation:

(2)(6)+(3)(1)/(2+3),(2)(2)+(3)(4)/(2+3)=3,16/5

Rational root theorem is used to determine the possible root of a function.

[tex]\mathbf{(a)\ f(x)= 4x^2 - 25}[/tex]

Set to 0

[tex]\mathbf{4x^2 - 25 = 0}[/tex]

Add 25 to both sides

[tex]\mathbf{4x^2 = 25}[/tex]

Divide both sides by 4

[tex]\mathbf{x^2 = \frac{25}{4}}[/tex]

Take square roots

[tex]\mathbf{x = \pm\frac{5}{2}}[/tex]

The function has rational roots.

This means that: rational root theorem provides a complete list of all roots

[tex]\mathbf{(b)\ g(x)= 4x^2 + 25}[/tex]

Set to 0

[tex]\mathbf{4x^2 + 25 = 0}[/tex]

Add -25 to both sides

[tex]\mathbf{4x^2 = -25}[/tex]

Divide both sides by 4

[tex]\mathbf{x^2 = -\frac{25}{4}}[/tex]

Take square roots

[tex]\mathbf{x = \pm \sqrt{-\frac{25}{4}}}[/tex]

The function has complex roots.

This means that: rational root theorem does not provide a complete list of all roots

[tex]\mathbf{(c)\ h(x)= 3x^2 - 25}[/tex]

Set to 0

[tex]\mathbf{3x^2 - 25 = 0}[/tex]

Add -25 to both sides

[tex]\mathbf{3x^2 = 25}[/tex]

Divide both sides by 4

[tex]\mathbf{x^2 = 8.333}[/tex]

Take square roots

[tex]\mathbf{x = \pm 2.89}[/tex]

The function has irrational roots.

This means that: rational root theorem does not provide a complete list of all roots

Read more about rational roots at:

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Explanation of the Rational Root Theorem and its application to polynomial functions f(x), g(x), and h(x).

The Rational Root Theorem provides a list of possible rational roots for a polynomial function. However, it does not guarantee that all roots will be rational. Let's examine the given polynomial functions:

Answer:

1680 words

Step-by-step explanation:

560 / 20 = 28

28 x 60 = 1680

Answer:

1680 words.

Step-by-step explanation:

There are 60 minutes in an hour. So all you need to do it 560 + 560 + 560.

I say this because he types 560 word in 20 minutes..20+20+20 is 60 so that means you have to add 560, 3 times as well.

Hope this helped! :)

Answer:

[tex]\text{The quotient is }4x^2 -27x +167[/tex]

Remainder is -996          

Step-by-step explanation:

[tex]\text{Given the polynomial }4x^3-3x^2+5x+6\text{ which is to be divided by }x+6[/tex]

we have to find the quotient using synthetic division

x+6 =0 , so x=-6

We divide by -6.

The steps for synthetic division are  

Step 1: Set up the synthetic division.

Step 2:  Put down the leading coefficient to bottom row.

Step 3: Multiply divisor which is on left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

[tex]\text{The quotient is }4x^2 -27x +167[/tex]

Remainder is -996      

When you divide 4x³- 3x² + 5x + 6 by (x+6) using synthetic division, the quotient is  4x²- 27x + 162

To divide ([tex]4x^3-3x^2+5x+6[/tex]) by (x+6) using synthetic division, follow the steps provided.

Arrange the terms of the dividend in descending order of degree, filling in any missing terms with a coefficient of 0.

Set up the synthetic division table with the divisor (x+6) as the divisor and the coefficients of the dividend (4, -3, 5, 6) as the dividend.

Perform the synthetic division:

Bring down the first coefficient, 4.

Multiply the divisor (x+6) by the value in the bottom row of the divisible column (which is 4).

The result is written in the next row.

Add the value in the next row to the coefficient in the next column and write the sum in the next row.

Repeat this process until all rows are completed.

The numbers in the bottom row of the table represent the coefficients of the quotient.

The quotient for this division is [tex]4x^2 - 27x + 167.[/tex]

Therefore, the quotient of ([tex]4x^3-3x^2+5x+6[/tex])/(x+6) is [tex]4x^2 - 27x + 167.[/tex]

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Answer:

31

Step-by-step explanation:

use a step by step calculator.

Answer:

The equation for the radius of cone R in terms of the radius of cylinder (r) is,

R = r√3

Step-by-step explanation:

Volume of the cone = πR²H/3 (where Height is H and Radius is R)

Volume of the Cylinder = πr²h (where Height is h and Radius is r)

Now, both are same in height, so H = h and Their volume are same. So,

πR²H/3=πr²h

or, R²/3=r²

or, R²=r²×3

or, R = √(r²×3)

or, R = r√3

Answered by GAUTHMATH

Final answer:

The relationship between the volume of a cylinder and a cone with the same radius and height leads to the equation for the radius of the cone in terms of the cylinder's radius. By equating the volumes and simplifying, we find that the cone's radius R is equal to the square root of 3 times the cylinder's radius r, or R = √3 * r.

Explanation:

We start with the formula for the volume of a cylinder V = πr²h and the volume for a cone, which is a third of the cylinder's volume, V = ⅓πr²h. Since we are given that the volume of a cone equals the volume of a cylinder with the same radius and height, we can set up an equation to find the radius of the cone R in terms of the cylinder's radius r.

We know that the volume of the cone is one third the volume of the cylinder, so when they are equal, the cone must be larger to compensate for this ratio. Therefore, the volume equation becomes V = πR²h, where R is the radius of the cone and h is the height. To find R in terms of r, we equate the two volume formulas: πR²h = 3πr²h. Simplifying, we get R² = 3r² and hence, R = √3 * r.

[tex]Use:\\\\a^n\cdot a^m=a^{n+m}\\\\y^{-9}\cdot y^{-8}\cdot y^{10}=y^{-9+(-8)+10}=y^{-7}[/tex]

Answer:

I might be wrong but i think it is 90 Degree Angle

Step-by-step explanation:

Answer:

right triangle

Step-by-step explanation:

90 degrees is a right angle so it will be a right triangle

Answer:

.224 / 7  = .032

Step-by-step explanation:

.224 / 7

7 goes into 2    0 times with 2 left over

7 goes into 22   3 times with 1 left over

7 goes into 14    2 times with 0 left over

.224 / 7  = .032

Answer:

.032

Step-by-step explanation:

Answer is shown in the attached image, in RED.

Answer:

10.

Step-by-step explanation:

5 times 6 = 30

30-20

Answer:

[tex]y=-\frac{8}{3} x - 3[/tex]

Step-by-step explanation:

Slope-intercept form is y = mx + b.

You are given 8x + 3y = -9, so to convert this into slope-intercept form you would solve for y and rearrange the terms (if needed) to follow the format of mx + b.

Start by subtracting 8x from both sides of the equation.

3y = -9 - 8x

Divide both sides by 3 to isolate y.

y = -3 - 8/3x

Rearrange the terms so the "x" variable is first.

y = -8/3x - 3

The ratio is 0.25:0.5

If he uses 1.5 cups of corn grits, the ratio is multiplied by 6.

So:

1.5 : 3.0

He will need 3 cups of water.

Method 1:

[tex]\begin{array}{ccc}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}\\\\1\dfrac{1}{2}=\dfrac{3}{2}\ \text{cup of corn}&-&x\ \text{cup of water}\end{array}\qquad\text{cross multiply}\\\\\\\dfrac{1}{4}\cdot x=\dfrac{3}{2}\cdot\dfrac{1}{2}\\\\\dfrac{1}{4}x=\dfrac{3}{4}\qquad\text{multiply both sides by 4}\\\\\boxed{x=3}[/tex]

Method 2:

[tex]\begin{matrix}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}&|\text{multiply both sides by 2}\\\\\dfrac{1}{2}\ \text{cup of corn}&-&1\ \text{cup of water}&|\text{multiply both sides by 2}\\\\1\ \text{cup of corn}&-&2\ \text{cup of water}&|\end{matrix}[/tex]

[tex]\begin{matrix}\left(\dfrac{1}{2}+1\right)\ \text{cups of corn}&-&(1+2)\ \text{cups of water}\\\\1\dfrac{1}{2}\ \text{cups of corn}&-&3\ \text{cups of water}\end{matrix}[/tex]

Im not sure if this is right but.

Make the diameter by putting the line on points A and C. Then put the middle of the tool on point A and make the width to point C and draw a circle. Do the same for point B (other side of point A) without changing the width. Then plot the lines where the circles intersect and you have a hexagon :)

Answer:

there is one photo without the hexagon drawn out, and one with it drawn, so you can see it all. there's one small hexagon and one long one.

Look at the picture.

From the graph, the value of the function at x = 2 will be 9. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function.

The graph of the function is shown.

From the graph, the value of the function at x = 2 will be 9.

Then the correct option is B.

More about the function link is given below.

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Answer: 3a^3 b^2+3a^2 b^2

Step-by-step explanation:

3a^2(ab^2+b^2)

=(3a^2)(ab^2+b^2)

=(3a^2)(ab^2)+(3a^2)(b^2)

=3a^3 b^2+3a^2 b^2

hope this helps

please mark brainliest answer

Answer:

3a3b2 + 2a2b2

Step-by-step explanation:

3a2(ab2 + b2) =

= 3a2*ab2 + 3a2*b2

= 3a3b2 + 2a2b2

The graph shows exponential B

exponential decay is when the graph is decreasing/going down

exponential growth is when the graph is increasing/going up

The graph is shown to be increasing, so it is exponential growth

As the amount of people infected with the virus decreases, time B

If you look at the graph, as time increases, the number of infected people also increases. So when the # of infected ppl decreases, so does time

Answer:

1. Growth

2. Decreases

Step-by-step explanation:

The graph shows the number of people infected with a virus as a function of time.

1.

The graph shows exponential growth because the graph is increasing above. It is going upwards, as the time is increasing.

2.

As the amount of people infected with the virus decreases, time decreases.

As it is a growth graph, if we study this in the opposite direction, that is from upwards to downwards, we can see that as the graph is going down, the values on the y axis are also decreasing.

The coefficient of 10x and the last term 16 is what we'll focus on. Specifically just the numbers only (ignore the variable x for now).

Think of two numbers that both multiply to 16, and also add to 10. Those two numbers are 8 and 2 (in any order). You basically find this through trial and error.

8 + 2 = 10

8 * 2 = 16

So it factors to (x+8)(x+2). Since order of multiplication does not matter, this is the same as (x+2)(x+8)

Answer b for both on edg

Step-by-step explanation:

Answer:

W = 10

L = 21

Step-by-step explanation:

Formula

P = 2*(L + W)

Givens

Solution

Answer

The width of the garden is 10 feet, and the length is 21 feet.

To find the dimensions of the rectangular garden, we can use the information provided in the question. Let's assume the width of the garden is 'x' feet. According to the question, the length is 1 foot more than twice the width, so the length would be '2x + 1' feet. Now, we can use the formula for the perimeter of a rectangle, which is 2(length + width), and set it equal to 62 feet:

2(2x + 1 + x) = 62

Simplifying the equation, we get:

6x + 2 = 62

Subtracting 2 from both sides:

6x = 60

Dividing both sides by 6:

x = 10

So, the width of the garden is 10 feet, and the length is 2x + 1 = 2(10) + 1 = 21 feet.

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Answer:

0.19125

Step-by-step explanation:

You divided 4.59 by the amount 24-oz

Answer:

Option 4) Probability = 30%            

Step-by-step explanation:

We are given the following information:

We have a deck of cards.

We have to find the probability of drawing a face card given that is a heart.

Formula:

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

Conditional probability:

The probability of happening of event A given event B:

[tex]P(A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}[/tex]

[tex]P(\text{Face card}|\text{Hearts}) = \displaystyle\frac{P(\text{Face card} \cap \text{Hearts})}{P(\text{Hearts)}}\\P(\text{Hearts}) = \displaystyle\frac{13}{52}\\\\P(\text{Face card} \cap \text{Hearts}) = \frac{4}{52}\\\\P(\text{Face card}|\text{Hearts}) = \frac{4/52}{13/52} = \frac{4}{13}\\\\=\frac{4}{13}\times 100\% = 30.77\%[/tex]

Answer:

f(g(x)) = x^2 +x

Step-by-step explanation:

To find f(g)(x) , we substitute g(x) in for x in the function f(x)

f(x) = x^2 -x

f(g(x)) = g(x)^2 -g(x)

          = (x+1)^2 - (x+1)

           = (x+1)*(x+1) - (x+1)

FOIL the square

             (x+1) (x+1)

         First x*x = x^2

        outer x*1 = x

        inner 1*x = x

       last  1*1 =1

Add them together

x^2 + x+x+1 = x^2+2x+1

f(g(x)) = (x+1)*(x+1) - (x+1)

           = x^2+2x+1 -(x+1)

Distribute the -1

          = x^2 +2x+1 -x-1

          = x^2 +x

f(g(x)) is basically replacing the x with g(x).

So, f(x)=(g(x))^2 - g(x)

g(x), in turn, equals x+1

Replace g(x) with x+1

(x+1)^2 - (x+1)

Expand: x^2+x+x+1 - x - 1

Cancel out x and 1

f(g(x))=x^2+x

If you require factoring it's

f(g(x))=x(x+1)

Answer:

R is in the third quadrant and S is in the first quadrant

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

P(- 3, 5 ) → R(- 3, - 5 ) ← third quadrant

Under a reflection in the y-axis

a point (x, y ) → (- x , y )

P(- 3, 5 ) → S(3, 5 ) ← first quadrant

In a reflection across the x-axis, the y-coordinate is negated, and in a reflection across the y-axis, the x-coordinate is negated. Thus, Point R (-3, -5) from point P (-3, 5) is in the fourth quadrant and Point S (3, 5) is in the first quadrant.

The given point P has the coordinates (-3, 5). When a point is reflected across the x-axis, the y-coordinate changes its sign. So, the reflection of point P across the x-axis (Point R) would be at (-3, -5). This places Point R in the fourth quadrant.

Similarly, when a point is reflected across the y-axis, the x-coordinate changes its sign. Therefore, the reflection of point P across the y-axis (Point S) would be at (3, 5). This places Point S in the first quadrant.

In summary, Point R is located in the fourth quadrant and Point S is located in the first quadrant.

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