Find the area of a circle with a diameter of 6 cm

Step-by-step explanation:

18 ball=3team

18=3x

x=18/3

x=6

the answer is 18:3

if (:) this sigh of urs indicate divide

The point that could represent the numbers of adults and child haircuts that meet the stylist goals exists 25, 0.

A function that converts zero or more input values into a clearly defined output value is referred to in mathematics as an operation. The operation's complexity is measured by the number of operands.

A value is computed using operands and a math operator as part of the mathematical "operation." In order to be applied to the provided operands or numbers, the math operator's symbol has predetermined rules.

Since the hairstylist change $15 for an adult haircut and $9 for a child haircut, then utilizing 25, 0 will be:

= 15(25) + 9(0)

= 375 + 0

= $375

She has earned at least 360 dollars and cut about 25 haircuts this week.

Therefore, the correct answer is option A. 25, 0.

The complete question is:

A hairstylist change $15 for an adult haircut and $9 for a child haircut. She wants to earn at least 360 dollars and cut a maximum of 30 haircuts this week. The graphs represent the hairstylist constants.

Which point could represent the numbers of adults and child haircuts the meet the stylist goals.

A. 25, 0

B. 15, 20

C. 10,15

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Answer:

216g^3

Step-by-step explanation:

6g^3 g^3

6g^3 = 6g * 6g * 6g = 216g^3

Answer:

\(216g^{3}\)

Step-by-step explanation:

6^3 x g^3=

6^3=216

216g^3

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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The limit of [f(x) - f(2)]/[x - 2] as x approaches 2 is 20

From the question, we have the following function that can be used in our computation:

f(x) = 5(x2 – 1)

Rewrite as

f(x) = 5(x² – 1)

The limit is given as

[f(x) - f(2)]/[x - 2]

Calculate f(2)

So, we have

f(2) = 5(2² – 1)

Evaluate

f(2) = 15

Substitute f(2) = 15 in [f(x) - f(2)]/[x - 2]

So, we have

[f(x) - f(2)]/[x - 2] = [5(x² – 1) - 15]/[x - 2]

Open the brackets

[f(x) - f(2)]/[x - 2] = [5x² – 5 - 15]/[x - 2]

Evaluate the like terms

[f(x) - f(2)]/[x - 2] = [5x² – 20]/[x - 2]

Factorize

[f(x) - f(2)]/[x - 2] = [5(x² – 4)]/[x - 2]

Express as difference of two squares

[f(x) - f(2)]/[x - 2] = [5(x – 2)(x + 2)]/[x - 2]

Divide

[f(x) - f(2)]/[x - 2] = 5(x + 2)

Limit x to 2

[f(x) - f(2)]/[x - 2] = 5(2 + 2)

Evaluate

[f(x) - f(2)]/[x - 2] = 20

Hence, the limit is 20

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The time the balls roll when the total distance is 130 cm is 10 seconds.

let

d = total distance the ball rolls

t = time in seconds

The total distance is directly proportional to the time in seconds. Therefore,

d ∝ t

d = kt

where

∝  is the proportionality sign

k = constant of proportionality

when d = 78 cm, t = 6 seconds

Therefore, let's find the constant of proportionality.

k = d / t

k = 78 / 6

k = 13

The constanst of proportionality is known . Now let's find the time(seconds) when d = 130 cm .

d = kt

make t the subject of the formula

t = d / k

t =  130 / 13

t = 10 secs

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Answe point me

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)

\(7 = - \frac{8}{3} ( - 3) + b\)

\(7 = 8 + b\)

\(b = - 1\)

\(y = - \frac{8}{3} x - 1\)

The y-intercept is -1.

Step-by-step explanation:

(n+1)! = (n+1)n(n-1)(n-2)...×3×2

16n! = 16n(n-1)(n-2)...×3×2

16(n-1)! = 16(n-1)(n-2)...×3×2

we can now divide both sides by (n-1)! and get

(n+1)n = 16n + 16

n² + n = 16n + 16

n² - 15n - 16 = 0

1×n² - 15n - 16 = 0

we try to bring this into a form

(n + a)(n - b)

one factor has to contain "-", because we have "-16".

and because -15 = 1 - 16, we see that

a = 1

b = 16

n² - 15n - 16 = (n + 1)(n - 16)

and that is 0, when at least one of the factors is 0, because 0×... = 0.

so, the solutions are

n = -1

n = 16

n = -1 does not make any sense for n!

so, n = 16 is the solution.

Explanation:

The angles do not need to be touching, or adjacent, for them to be supplementary. They simply need to add to 180 degrees.

We have 70+110 = 180, so that proves the angles are supplementary. They can be rearranged to glue together to form a straight angle.

If the angles were supplementary and adjacent, then we can consider them as a linear pair. This is possibly what Suzie might be thinking about.

The number of ways if the order of the choices is taken into consideration is 24 and the number of ways if the order of the choices is not taken into consideration is 4

The given parameters are:

Letters, n = 4

Letters to select, r = 3

The order of the choices is taken into consideration.

This means permutation.

So, we have:

nPr = n!/(n -r)!

This gives

4P3 = 4!/1!

Evaluate the quotient

4P3 = 4!

Expand

4P3 = 4* 3 * 2 * 1

Evaluate

4P3 = 24

Hence, the number of ways if the order of the choices is taken into consideration is 24

The given parameters are:

Letters, n = 4

Letters to select, r = 3

The order of the choices is not taken into consideration.

This means combination.

So, we have:

nCr = n!/r!(n -r)!

This gives

4C3 = 4!/(3! * 1!)

Expand

4C3 = 4 * 3!/(3! * 1!)

Evaluate the quotient

4C3 = 4

Hence, the number of ways if the order of the choices is not taken into consideration is 4

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The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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b because 90

                  15

                  15

               -_____

                  76.50

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer:

108 meters squared or m^2

Step-by-step explanation:

* means multiply

15 is probably hypotenuse because its the longest

12 and 9 are probably base and height

area = base * height

area = 12 * 9

area = 108

Answer:

54m^2

Step-by-step explanation:

Answer:

3)

Step-by-step explanation:

I am one of the maths and they are called BODMAS

Answer:

1

Step-by-step explanation:

cosine of sum of 2 angles law

0.98 is answer 84/85

i think it is negative due to the fact that it is in quad I and cos is neg in quad I but I am not 100% on that

Answer:

(1, 6)

(2, 12)

(1.5, 9)

(2.5, 15)

#teamtrees #WAP (Water And Plant)

The calculated values of x and y in the figure are x = 2 and y = 4

from the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

equal side lengths

This means that

2y - 1 = 3y - 5

Evaluate

y = 4

Next, we have

x + 3 = 3/2x + 2

So, we have

1/2x = 1

This gives

x = 2

Hence, the values of x and y in the figure are x = 2 and y = 4

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Answer:

28. The total is 200, remove all the other known fruit frequencies to evaluate how frequently grapes was chosen.

Grapes = 200-102-26-30-20 = 22

29-32: Relative frequency is just the frequency of the individual divide by the total.

29. 20/200 = 1/10 = 0.1

30. 30/200 = 3/20 = 0.15

31. 102/200 = 51/100 = 0.51

32. 200/200 = 1

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Answer:

they said each pizza

Step-by-step explanation:

that means it isn't only one pizza but maybe a ton of them

Answer:

From left to right:

1/8

5/8

1-3/16

1-7/8

2-1/2

3-1/8

4-3/8

5-3/8

5-7/8

let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

Answer: 400

Step-by-step explanation:

The values of the side lengths for the right triangle are x = 3√3, y = 12, and z = 4√7

The vertical height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

So;

9/y = y/16 {adjacent/hypotenuse ratio}

y² = 9 × 16 {cross multiplication}

y = √144

y = 12

using Pythagoras rule;

x² + 9² = 12²

x² = 144 - 81 {collect like terms}

x² = 63

x = √63 = 3√7

Also;

z² = (√63)² + 7²

z² = 63 + 49

z² = 112

z = √112 = 4√7

Therefore, the values of the side lengths for the right triangle are x = 3√3, y = 12, and z = 4√7

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The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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