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Solve the equation for π.
A=12πr2

Answer:

33 1/3 %

Step-by-step explanation:

120degree is shaded

There are 360 degrees in a circle

120/360

1/3

.33333

33 1/3 %

Answer:

x = 2

Step-by-step explanation:

[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]

Answer:

< B has the largest angle measure.

as it is opposite to longest side of triangle.

Answer:

c. mean

Step-by-step explanation:

the data set that has less variation will have smaller distribution over a large area or variation measures.

Answer:

D. Interquile Range

Step-by-step explanation:

The datasets that have less variation are those that have smaller dispersion or variation measures.

Some of these measures of variance are variance, standard deviation, mean absolute deviation, range and interquartile range. Among the options shown, the only one that is used as a measure of variation is the interquartile range. The interquartile range is the difference between the third quartile and the first quartile of a data distribution. In other words, the interquartile range measures the range between the central 50% of the data.

Answer:

7

Step-by-step explanation:

Consider the absolute value of the difference , that is

| - 5 - 2 | = | - 7 | = 7

or

| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7

Answer:

7

Step-by-step explanation:

Difference is - sign so the equation is: 2- -5 which is 7. Or

think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7

The answer will be 80 degrees

Step-by-step explanation:

50 +50 + x = 180 (Angle sum property of a triangle)

The angle sum property of a triangle:

[tex] \rm \large \rightarrow \: \: x \: + \: 50 \degree \: + \:50 \degree \: = \: 180 \degree[/tex]

[tex] \rm \large \rightarrow \: \: x \: + \: 100 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large \rightarrow \: \: x \: = \: 180 \degree \: - \: 100 \degree[/tex]

[tex]\rm \large \rightarrow \: \: x \: = \: 80 \degree[/tex]

Answer:

12

Step-by-step explanation:

let the no. be 2x and 5x

5x=30, x=6

therefore 2x= 2*6= 12

hope it helps

The value of the smaller number is, 12

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Two numbers are in the ratio of 2:5 and the bigger number is 30.

Now, The ratio of numbers are,

2x and 5x

Here, the bigger number is 30.

Hence,

5x = 30

x = 6

Thus, The value of the smaller number is,

2x = 2 × 6 = 12

Learn more about the ratio visit:

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From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

[tex]\mathbf{\dfrac{(a+b+c+d)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(a+1+2+3)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(6+a)}{4} =9}[/tex]

By cross multiplying;

6+a = 9 × 4

6+a = 36

a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

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The greatest value for one of the four positive integers is 30.

To find the largest positive integer, you have to minimize the other three positive integers.

Find the average of the four positive integers and equate it to the given value of the average.

[tex]\frac{6 + y}{4} = 9\\\\6+ y = 36\\\\y = 36-6\\\\y = 30[/tex]

Thus, the greatest value for one of the positive integers is 30

learn more here: https://brainly.com/question/20118982

Answer:

Hello,

Answer B

Step-by-step explanation:

[tex]C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\[/tex]

Answer:

5, 2

Step-by-step explanation:

hope u got it.........

Answer:

y = 5x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

Answer:

A. 314 in^3

Step-by-step explanation:

To solve the volume of a cone:

[tex]v = \pi r^2\frac{h}{3}[/tex]

Answer:

Point A, B, and C are collinear points.

Step-by-step explanation:

When points lie on one line, meaning all of the points are on the same line --> this is known as collinear points.

Answer:

-62

Step-by-step explanation:

2 (32- (4 -1)^3 )

2 {32 - [tex](4-1)^{3}[/tex]}        

2{ 32 - ([tex]4^{3}[/tex] - [tex]1^{3}[/tex])}

2 { 32 - ( 64 - 1 ) }

2 { 32 - 63)

2 ( -31)

-62

Answer:

10

Step-by-step explanation:

Given

2 [ 32 - (4 - 1)³ ] ← evaluate parenthesis

= 2 [ 32 - 3³ ] ← evaluate exponent

= 2 [ 32 - 27 ] ← evaluate bracket

= 2 × 5

= 10

Answer:

[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]

I hope it helped U

stay safe stay happy

Answer:

-3

Step-by-step explanation:

[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + 9 - {4}^{2} [/tex]

[tex] = 4 + 9 - 16[/tex]

[tex] = - 3[/tex]

Answer:

3x^2+36x+81

Step-by-step explanation:

(x+9)(3x+9)=3[tex]x^{2}[/tex] +9x+37x+81

⇛(x + 9) (3x + 9)

⇛x(3x+9) + 9(3x+9)

⇛3x² + 9x + 18x + 81

⇛3x² + 27x + 81

9514 1404 393

Answer:

  c = 14

  no extraneous solutions

Step-by-step explanation:

You can subtract the right-side expression, combine fractions, and set the numerator to zero.

  [tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]

__

Check

  (14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c

  10/12 = 12/16 -1/-12

  5/6 = 3/4 +1/12 . . . . true

There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.

Answer:

x = 0 and 3 other real roots. See below.

Step-by-step explanation:

This is what you wrote:

[tex] 3x + \dfrac{1}{x^2} - 1 = \dfrac{2}{x} - 2 + \dfrac{x}{x} - 1 [/tex]

I don't think that is what you meant to write.

I think you meant to write this:

[tex] 3x + \dfrac{1}{x^2 - 1} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

I'm going to answer the second equation because that is what I think you meant.

[tex] 3x + \dfrac{1}{(x - 1)(x + 1)} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

[tex] 3x(x - 1)(x + 1)(x - 2) + (x - 2) = 2(x - 1)(x + 1) + x(x + 1)(x - 2) [/tex]

[tex] (3x^2 - 6x)(x^2 - 1) + x - 2 = 2x^2 - 2 + x(x^2 - x - 2) [/tex]

[tex] 3x^4 - 3x^2 - 6x^3 + 6x + x - 2 = 2x^2 - 2 + x^3 - x^2 - 2x [/tex]

[tex] 3x^4 - 7x^3 - 4x^2 + 9x = 0 [/tex]

[tex] x(3x^3 - 7x^2 - 4x + 9) = 0 [/tex]

[tex] f(x) = 3x^3 - 7x^2 - 4x + 9 [/tex]

[tex] f(-3) = -123 [/tex]

[tex] f(-2) = -35 [/tex]

[tex] f(-1) = 3 [/tex]

[tex] f(0) = 9 [/tex]

[tex] f(1) = 1 [/tex]

[tex] f(2) = -3 [/tex]

[tex] f(3) = 15 [/tex]

One root is x = 0.

There is a root between x = -2 and x = -1.

There is a root between x = 1 and x = 2.

There is a root between x = 2 and x = 3.

Plot the graph of f(x) = 3x^3 - 7x^2 - 4x + 9 and try to read the other three roots.

Answer:

y = -2/9x+2/3

Step-by-step explanation:

First find the slope

m= (y2-y1)/(x2-x1)

   = (0-2)/(-3-6)

   = -2 /-9

  2/9

The slope intercept form is

y= mx+b  where m is the slope and b is the y intercept

y = 2/9x+b

Using the point -3,0

0 = 2/9(-3) +b

0 = -2/3+b

b = 2/3

y = -2/9x+2/3

Answer:

Step-by-step explanation:

As we know all primes but 2 are odd numbers.

It means sum of any 3 primes not including 2 is odd.

Since we have sum of 202, one of our primes is 2.

Sum of the other two primes is 200.

In order to have maximum value of p*(200 - p) these two numbers must be closer to each other. So we are looking for two primes around 100.

We can test all primes less than 200:

The 3 primes with max product are:

The value is:

Answer:

A = 1/2 B H       area = 1/2 base X height

B = 2 A / H = 2 * 99 / 12 = 16.5 cm

dA / d t = 1/2 * (B dH / dt + H dB / dt)

dB / dt = (2 dA / dt - B dH / dt) / H

dB / dt = (2 * 1.5 cm^2 / min - 16.5 cm * 2 cm / min) / 12 cm

dB / dt = (3 - 33) / 12 cm/min = -2.5 cm/min

Answer:

ln(x) = 1/x... It's a basic rule of Calculus.

Answer:

100.7%

Step-by-step explanation:

Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.

We can setup a formula using our period of time and the money he invested into the bank:

[tex]340(x)^{32}=420[/tex]

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

[tex]x^{32}=\frac{21}{17}[/tex]

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.

Answer:

x is less than or equal to 1 can also be written as x ≤ 1. The ≤ sign represents "less than or equal to"

Let me know if this helps!

x+y,=3

x_y=-3

A.,(0,3)

B. (0,3)

C. (0,6)

D. (0 _3)

[tex]\\ \sf\longmapsto 7x-20=6x-1[/tex]

[tex]\\ \sf\longmapsto 7x-6x=-1+20[/tex]

[tex]\\ \sf\longmapsto x=-19[/tex]

Now

[tex]\\ \sf\longmapsto m<A=7x-20=7(-19)-20=133-20=113[/tex]

Answer:

SAS

43ft

Step-by-step explanation:

We know that two sides are equal

PQ = ST and QR = TU and the angle between them is equal Q = T

We can use the SAS (side angle side)

Since the triangles are congruent

PR = SU

6y+5 = 8y

Subtract 6y from each side

6y+5-6y = 8y-6y

5 = 2y

Divide by 2

5/2 = y

2.5 = y

PR = ST = 8y = 8(2.5) =20

The perimeter is 9+14+20 = 43

Answer:

B. =35ft

Step-by-step explanation:

The perimeter of a right angled triangle is a+b+c

which is 9+4+6y+5 =90

collect like terms

9+4+5+6y=90

18 + 6y = 90

6y = 90 - 18

6y= 72

divide both sides by 6

6y/6 = 72/6

y = 12

so therefore, the perimeter of ∆PQR is

9 + 12 + 14

= 35ft

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

Answer:

4.06 x 10^4

Step-by-step explanation:

Answer:

69.08 inches

Step-by-step explanation:

Circumference = diameter x pi. In this case, diameter x 3.14.

diameter = 22

22 x 3.14 = 69.08 inches

Brainiest please!