I NEED HELP PLEASE, THANKS! :)
A gear of radius 6.1 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second?
v = linear velocity, d = distance traveled, and t = time.

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

Answer:

see below

Step-by-step explanation:

A = {8, 9, 10, 11, 12, 13, 14} and   B = {2, 4, 6, 8, 10, 12, 14, 16, 18}

----------------

(i) List down the elements of A’ and B’

{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets

----------

(ii) Are sets A - B and B - A equal sets?

A-B= {9, 11, 13}

B-A= {2, 4, 6, 16, 18}

These are not equal as we can see

----------

(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations

A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets

A∩B= {8, 10, 12, 14} - intersection only includes common elements

Answer:

D. I hope it helps!

Step-by-step explanation:

Darius is correct if only the median score is considered.

just took the quiz on edg.

Answer:

Its A

Step-by-step explanation:

i got it right

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

Answer:

88059595400 hectares

Step-by-step explanation:

Convert 340 million square miles into hectares.

1 square mile = 258.99881 hectares

340,000,000 square miles = 88059595400 hectares

The forest is 88059595400 hectares.

Answer:

[tex]8.80597(10^{10})[/tex] hectares

Step-by-step explanation:

This is unit conversion:

[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]

We then multiply, with our units miles canceling out and leaving us with hectares:

[tex]8.80597(10^{10})[/tex] hectares

or

88059700000 hectares

Answer:

(3, 0)

Step-by-step explanation:

M = (-3, -4) - mid point

D= (-9, -8)

C=?

--------

Mid point:

x= (x1+x2)/2, y=(y1+y2)/2

C= (3, 0)

Answer:

1080°

Step-by-step explanation:

Sum of interior angles = 180°(n-2)

Where n is the number of sides of the polygon

Therefore,

Sum of interior angles of an octagon =180°(8-2)

=1080°

A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:

The sum of the interior angles of the irregular octagon is 1080°

The formula to solve for the sum of the interior angles of an irregular polygon is given as:

(n - 2) x 180°

Where n =  number of sides.

An octagon is a polygon that has 8 sides. Hence, n = 8

So: (8 - 2) x 180°

= 6 x 180°

= 1080°

Therefore, the sum of the interior angles of the irregular octagon is 1080°

To learn more, visit the link below:

https://brainly.com/question/23425100

Answer:

$112.50

Step-by-step explanation:

so the first thing you would do is add 12 to 13 to get

12 + 13 = 25

then multiply 25 by 4.50 to get

25 x 4.50 = 112.50

so the average number of tips the server has received is $112.50

Answer:

51

Step-by-step explanation:

85/5x3=51

Answer:

Hey!

3/5 of 85 = 51!

Step-by-step explanation:

3/5 = 0.6

So 0.6 x 85 = 51!

HOPE THIS HELPS!!

Answer:

the base???

Step-by-step explanation:

Answer:

Exponent

Step-by-step explanation:

An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.

Answer:

C

Step-by-step explanation:

< means exclusive, so open hole

≤ means inclusive, so closed dot

also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.

Answer:

0.59375

Step-by-step explanation:

In a uniform distribution the probability that the time t is greater than any given value, X, is:

[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]

In this problem, the limits of the distribution are a = 0 and b = 8 minutes.

For X =3.25 minutes:

[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.

So, here the probability is

[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]

= 0.59375

Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Learn more about probability here: https://brainly.com/question/15241200

Answer:

1/4 or 0.25

Step-by-step explanation:

1)January

2)February

3)March

4)April

5)May

6)June

7)July

8)August

9)September

10)November

11)October

12)December

Months that have less than five letters in its name

June

July

May

Probability= successful outcome ÷ possible outcone

Successful outcome=3

Possible outcome=12

Probability of Hannah guessing her brother's birthday=3÷12=1/4

Step-by-step explanation:

[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions

[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]

no solutions

Answer:

It's (B)

Step-by-step explanation:

Step-by-step explanation:

10b+5+18b+10

28b+15 is the answer

Answer:

28b+17

Step-by-step explanation:

=> 5(2b+1) + 6(3b+2)

Expanding the brackets

=> 10b+5+18b+12

Combining like terms

=> 10b+18b+5+12

=> 28b+17

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.

Answer:

The addition of the same side interior angles is equal to 180°

Step-by-step explanation:

If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.

See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

Answer:

(-7,22)

Step-by-step explanation:

x+7 moves the graph left 7 (-7)

+22 moves it up 22

the 2 at the beginning is a shrink and it doesn't matter when finding the vertex

Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

Answer:

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Step-by-step explanation:

To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:

[tex]y = 2*0 - 8 = -8[/tex]

To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:

[tex]0 = 2*x - 8[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

So the y-intercept is -8 and the x-intercept is 4.

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Answer:

-7,-6,-3.these are the vertices

Answer:

Assuming you mean slope, the answer would be ...

2

The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.

When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.

Therefore, your answer is 2

Hope this helps!

Answer: 2

Step-by-step explanation:

The slope would be 2 :)

Step-by-step explanation:

nm=16

m=16/n

m=16/8

m=2

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

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

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

Answer:

724 is the square root of 524176.

Step-by-step explanation:

Square root of 524176 by long division method.

[tex]\sqrt{524176}[/tex] =  7) 52 41 76 (724

                  7  49

             14 2)  341

                2   284

         144 4)   5776

                      5776

                          0

Therefore, square root  of 524176 is 724.

Answer:

y = 4/3x - 10.

Step-by-step explanation:

3x + 4y = 12

4y = -3x + 12

y = -3/4x + 3

If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.

So far, for the equation of the line, we have an equation of y = 4/3x + b.

To find b, simply substitute the coordinates (6, -2) for x and y.

-2 = 4/3(6) + b

b + 4/3(6) = -2

b + 8 = -2

b = -10

So, the equation of the line will be y = 4/3x - 10.

Check your work...

-2 = (4/3)(6) - 10

-2 = 8 - 10

-2 = -2

Hope this helps!

Answer: C) [tex]y = \frac{4}{3} x-10[/tex]

Step-by-step explanation:

First change this equation into slope-intercept form(y = mx + b).  y = -3/4x + 3.

For a line to be perpendicular to another line, it must have an opposite reciprocal slope.  The opposite reciprocal of -3/4 is 4/3.  Thus, the answer is NOT B.  Then, attempt to plug in 6, -2 into each equation.  The only one where it works is C.

Hope it helps <3