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Answer: [tex]726 cm^{2}[/tex]

Step-by-step explanation:

surface area(SA)= [tex]6s^{2}[/tex]

= [tex]6*(11)^{2}[/tex]

= [tex]6*121[/tex]

= [tex]726 cm^{2}[/tex]

s= the length of the side of the cube

Answer:

[tex]33\%[/tex]

Step-by-step explanation:

To work out the percentage of the circle shaded blue, we first must work out the area of the whole circle.

Area of the whole circle = [tex]\pi r^2[/tex]

[tex]r=4+3+3\\\pi * (4+3+3)^2=\pi*10^2=100\pi[/tex]

Now we need to work out the area of the blue 2d torus, by finding out the area of the blue circle, then subtracting the area of the innermost white circle.

Blue shaded area = [tex]\pi(r_{0}{^2}-r_{1}{^2})[/tex]

[tex]r_0=4+3\\r_1 = 4\\\pi ((4+3)^2-(4)^2)= \pi (7^2-4^2)=33 \pi[/tex]

Now we have the total areas of each, we can work out the fraction of blue to non blue by dividing the blue area by the total area, and then working out the percentage by multiplying by 100.

[tex]\frac{33\pi}{100\pi}*100=\frac{33\pi}{\pi}=33\%[/tex]

Answer:

The value of 9f(3) is 1683.

Step-by-step explanation:

This is a compound function, so let's call it [tex]g[/tex], where it is equal to:

[tex]g = 9*f(3)[/tex]

To solve it, we need to find [tex]f(3)[/tex] and apply it on the expression above, this is done below:

[tex]f(3) = 4*(3)^3 + 8*(3)^2 - 2*3 + 13\\f(3) = 4*27 + 8*9 - 6 + 13\\f(3) = 108 + 72 + 7\\f(3) = 187\\[/tex]

Applying it on [tex]g[/tex] we have:

[tex]g = 9*187 =1683[/tex]

Answer:

1,863

Step-by-step explanation:

First thing to do here is to substitute 3 for the value of x

f(3) =4)3)^3 + 8(3)^2 -2(3) + 13

= 4(27) + 8(9) -6 + 13

= 108 + 72 + 7 = 207

we now multiply this result by 9

= 9 * 207 = 1,863

Answer:

-3n⁹

Step-by-step explanation:

= [tex]\sqrt[3]{-27n^(27)}[/tex]

= [tex]\sqrt[3]{-27} * \sqrt[3]{n^{27}}[/tex]

= (-3) × n⁹

= -3n⁹

Answer:

hope this helps you

[tex] \dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6[/tex]

Answer: 6

7

tan(60) = h/40

h = 40 x tan(60)

h = 40√3

cos(60) = 40/r

r = 40/cos(60)

r = 80

8.

tan(60) = p/82

p = 82 x tan(60)

p = 82√3

cos(60) = 82/t

t = 82/cos(60)

t = 164

9.

tan(60) = 22√3 /x

x = 22√3 /tan(60)

x = 22

sin(60) =  22√3 /k

k = 22√3 / sin(60)

k = (20/3)√3

Answer:

(C) ¹/₂

Step-by-step explanation:

Given;

A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6

The probability of rolling a number less than 4 = 3, 2, 1

The probability of rolling 3, P(3) = ¹/₆

The probability of rolling 2, P(2) = ¹/₆

The probability of rolling 1, P(1) = ¹/₆

Probability of rolling a number less than = P(3) or P(2) or P(1)

                                                                   = ¹/₆ + ¹/₆ + ¹/₆

                                                                   = ³/₆

                                                                   = ¹/₂

Therefore, the probability of rolling a number less than 4 is ¹/₂

Option (C) ¹/₂

Answer:

There is one solution

Step-by-step explanation:

4x + 6 = 6x - 2

Subtract 4x from each side

4x-4x + 6 = 6x-4x - 2

6 = 2x-2

Add 2

6+2 = 2x

8 = 2x

Divide by 2

8/2 = 2x/2

4=x

Answer:

(6, 1)

Step-by-step explanation:

Answer:

centre = (6, 1 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 12x - 2y + 12 = 0

Collect the x and y terms together and subtract 12 from both sides

x² - 12x + y² - 2y = - 12

To obtain the equation in standard form use completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1

(x - 6)² + (y - 1)² = 25 ← in standard form

with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5

Answer:

The slope is 3/8

The y intercept is 75/8

Step-by-step explanation:

The slope is found by

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

   = (9-6)/(-1- -9)

   = (9-6)/(-1+9)

    =3/8

The y intercept is found by

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

y = 3/8 x+b

9 = 3/8(-1) +b

Getting a common denominator

72/8 = -3/8 +b

Add 3/8 to each side

75/8 = b

The y intercept is 75/8

Answer:

3/8, 9 3/8

Step-by-step explanation:

y= mx+b

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

L (-9, 6) and M(-1, 9)

slope is:

y- intercept is:

Step-by-step explanation:

a 6xy is the answer to question a

Answer:

(1) 6 (2) 2

Step-by-step explanation:

[tex]1)y=\frac{36}{6}\\y=62) \\[/tex]

[tex]y=\frac{36}{18}\\y=2[/tex]

Answer:

The inverse of the function is [tex]g (x)=-5x-4[/tex].

Step-by-step explanation:

The function provided is:

[tex]f^{-1}(x)=-\frac{1}{5}\ x-\frac{4}{5}[/tex]

Let us assume that:

[tex]y=f^{-1}(x)[/tex]

Then the equation will be:

[tex]y=\frac{-x-4}{5}[/tex]

To compute the inverse of the function substitute x as y and y as x.

[tex]x=\frac{-y-4}{5}[/tex]

Now solve for y as follows:

[tex]x=\frac{-y-4}{5}[/tex]

[tex]5x=-y-4[/tex]

[tex]y=-5x-4[/tex]

Thus, the inverse of the function is [tex]g (x)=-5x-4[/tex].

Answer:

The answer is "-5x-4"

Step-by-step explanation:

Given:

[tex]\bold{f^{-1} (x)=(-\frac{1x}{5}-\frac{4}{5})}[/tex]

solve the above equation:

[tex]\to f^{-1}(x)= \frac{-x-4}{5}\\\\\to f^{-1}(x)= -\frac{x+4}{5}\\[/tex]

Let

[tex]y= f^{-1} x= -(\frac{x+4}{5})\\\\[/tex]

inverse the above function:

[tex]\to x= -(\frac{y+4}{5})\\\\\to 5x= -(y+4)\\\\\to 5x= -y-4\\\\\to\boxed {y=-5x-4}\\\\[/tex]

Answer:

-14 >x

Step-by-step explanation:

x-2>2x+12

Subtract x from each side

x-2-x > 2x+12-x

-2 > x+12

Subtract 12 from each side

-2-12 > x

-14 >x

Answer: Slope of 2.

Step-by-step explanation:

Start at where the line meets on the y-axis, -7. Then work your way upwards until you see the line align with a value of x, like (1,-5). Then you see a trend of it going up 2 units and over 1. 2/1 or 2 is your slope.

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Answer:

2+3+10+15+20+2+30=82

82/8=10.25

Step-by-step explanation:+10.25

Answer:

The answer is 14.9

Step-by-step explanation:

First I added 2,3,10,15,20,24,30 then  divided it by 7.

Answer:

6

Step-by-step explanation:

Since they have the same x - value, just find the distance between the y - values.

6

The range of the graph is  -∞ ∠ y ∠ 5, which is option a.

The range of a function is the set of numbers that the function can produce. In other words, it is the set of y-values that you get when you plug all of the possible x-values into the function.

In the given graph

Red line shows the value of y when we put the value of x.

and the line goes down towards negative y upto infinity and on another side at constant value 5 when put x any value.

that means y lies between negative infinity ( -∞ ) and 5

Hence, The range of the graph is  -∞ ∠ y ∠ 5.

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Answer:

y = 8.5x

Step-by-step explanation:

A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation

y = kx, where k is constant of proportionality

________________________________________________

Let  the  relation be

y = kx

but we have a as 3 and b as 25.5

thus

substituting value of and a and b in y = kx , we have

25.5 = k*3

=> k = 25.5/3 = 8.5

Thus, equation which can represent this relation is y = 8.5x

Answer:1.8*10^-1

Step-by-step explanation:

Answer:     1.8 x 10^−1

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Pythagorean theorem.

a^2+b^2=c^2.

2^2+3^2=d^2

Answer:

4^3

11>6

y>2

13-x

Step-by-step explanation:

4 is to the third power

11 is greater than 6 which means u use this sign >

y is greater than 2

13 subtract x

Answer:

b & e

Step-by-step explanation:

The statements that are true of the given function are f(0)=3/2 and f(4)=7/2. This can be obtained by finding the function and checking the values of given in the question.

Given, f(-1/2)= -2

f(0)= 3/2

f(1)= -1

f(2)= 1

f(4)= 7/2

The function is of the form, f(x)= mx +b

where m is the slope of the line and b is the cutting point with the y axis.

For x=0, the value of the function is f(0)=3/2

⇒b=3/2   and m=1/2

∴ The function is f(x) = (1/2)x + 3/2

f(-1/2) = (1/2)(-1/2) + 3/2 =5/4

f(0) = (1/2)(0) + 3/2 = 3/2

f(1) = (1/2)(1) + 3/2 = 2

f(2) = (1/2)(2) + 3/2 = 5/2

f(4) = (1/2)(4) + 3/2 = 7/2

Hence the statements that are true of the given function are f(0)=3/2 and f(4)=7/2.

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Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

(8-5)/(7-2)= 3/5

Step-by-step explanation:

proper fraction

Answer: Wheres the table

Step-by-step explanation:

Answer:

Step-by-step explanation:

40

Answer:

c = 20d + 15

Step-by-step explanation:

answer choices may help if the answer is not one of the choices; but here is the answer that it should be:

20 dollars per day is 20 times the length of rental.

15 is a cost that is added and does not change.

c = the total cost therefore:

c = 20d + 15

Answer:

A

Step-by-step explanation:

Answer:

Rina is 1/4 feet taller than Ryan

Step-by-step explanation:

(height of Rina)-(height of Ryan)

6x+3/8-(5x+1/8)

6x+3/8-5x-1/8

x+3-1/8

x+2/8

x+1/4