What is the range of AB?

To find the distance the hula hoop rolls in 4 full rotations, we calculate the circumference as 2πr and then multiply by 4. The total distance is then rounded to the nearest centimeter, resulting in 880 cm.

The question asks us to calculate the distance a hula hoop travels in 4 full rotations given its radius. The distance traveled in one rotation is equal to the circumference of the hoop.

To find the circumference, we use the formula C = 2πr, where r is the radius. Since the radius is given as 35 cm, the circumference is 2π×35 cm. To find the total distance for 4 rotations, we multiply the circumference by 4. This gives us 4×2π×35 cm. Using the approximate value of π (3.1416), we can calculate the distance, and then round it to the nearest centimeter.

Circumference C = 2π×35 cm = 219.91 cm

Total distance for 4 rotations = 4×C = 4×219.91 cm = 879.64 cm

Rounded to the nearest centimeter: 880 cm

Final answer:

There are 1,320 possible ways to distribute the gold, silver, and bronze medals among twelve athletes with no ties.

Explanation:

The student has asked how many possible ways three medals can be distributed among twelve athletes, assuming there are no ties. This can be calculated using permutations since the order of medals (gold, silver, bronze) matters and each medal can only be given once.

For the gold medal, there are 12 potential athletes, for the silver there are 11 remaining athletes (since one has already received gold), and for the bronze, there are 10 athletes left. Therefore, the number of possible ways to distribute the three medals is:

12 (options for gold) × 11 (options for silver) × 10 (options for bronze) = 1,320 possible ways.

Answer:

x =16

Step-by-step explanation:

A right angle has 90 degrees.

The two given angles add to 90 degrees

3x + 2 + 40 = 90                      Combine the left side

3x + 42 = 90                            Subtract 42 from both sides

3x + 42 - 42 = 90 - 42             combine

3x = 48                                     Divide by 3

3x/3 = 48/3                              Do the division

x = 16

34.5 kilometers is equal to 21.41 miles.

To convert kilometers to miles, you can use the conversion factor 1 mile = 1.609 kilometers. So, to convert 34.5 kilometers to miles, you would multiply 34.5 by the conversion factor:

34.5 kilometers × 1 mile/1.609 kilometers = 21.41 miles

Therefore, 34.5 kilometers is equal to 21.41 miles.

https://brainly.com/question/34149906

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Answer:

Distributive property

Step-by-step explanation:

12(x+4)

We would use the Distributive property to get to

12x+48

Distributive Property

x(a+b) = ax + bx

Answer: x=-13

Step-by-step explanation:

X= 65/5

X=-13

Checked work .

-5x=65

-5x-13=65

65=65

Answer:

Step-by-step explanation:

The common difference is 7

Since the common difference is 7

a_n = 12+(n-1)7

a_n = 12+7n -7

a_n = 5+7n

Answer:

A Jones has the best plus minus record

Step-by-step explanation:

The player wants the most "negative" score, which means he was one the ice when his team scored the most points and off the ice when his team was scored upon.

Answer:

11. a. See below. b. E. Simpson

Step-by-step explanation:

11. a. Graphing on the number line

You did a great job on this.

I just used red dots to make them more visible.

===============

11. b. Best plus-minus record

The player with the best plus-minus record is E. Simpson.  

His plus-minus record of +9 means that his team has scored more often when he is on the ice than any other player.

Answer: I believe the answer is C

Step-by-step explanation:

[tex]b)\\\tan x=\dfrac{\sin x}{c\os x}\\\\\tan^2x=\dfrac{\sin^2x}{\cos^2x}=\dfrac{2\sin^2x}{2\cos^2x}=\dfrac{\sin^2x+\sin^2x}{\cos^2x+\cos^2x}\\\\=\dfrac{\sin^2x+\sin^2x+\cos^2x-\cos^2x}{\cos^2x+\cos^2x+\sin^2x-\sin^2x}=\dfrac{(\sin^2x+\cos^2x)-(\cos^2x-\sin^2x)}{(\cos^2x+\sin^2x)+(\cos^2x-\sin^2x)}\\\\=\dfrac{1-\cos2x}{1+\cos2x}\\\\\text{Used}:\\\\\sin^2x+\cos^2x=1\\\\\cos^2x-\sin^2x=\cos2x[/tex]

[tex]\tan^2\left(\dfrac{7\pi}{8}\right)=\dfrac{1-\cos\left(2\cdot\dfrac{7\pi}{8}\right)}{1+\cos\left(2\cdot\dfrac{7\pi}{8}\right)}=\dfrac{1-\cos\left(\dfrac{7\pi}{4}\right)}{1+\cos\left(\dfrac{7\pi}{4}\right)}=(*)\\\\\cos\left(\dfrac{7\pi}{4}\right)=\cos\left(2\pi-\dfrac{\pi}{4}\right)=\cos\left(-\dfrac{\pi}{4}\right)=\cos\left(\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\\\\(*)=\dfrac{1-\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}=\left(\dfrac{2}{2}-\dfrac{\sqrt2}{2}\right):\left(\dfrac{2}{2}+\dfrac{\sqrt2}{2}\right)[/tex]

[tex]=\dfrac{2-\sqrt2}{2}\div\dfrac{2+\sqrt2}{2}=\dfrac{2-\sqrt2}{2}\cdot\dfrac{2}{2+\sqrt2}=\dfrac{2-\sqrt2}{2+\sqrt2}\\\\\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{2-\sqrt2}{2+\sqrt2}\cdot\dfrac{2-\sqrt2}{2-\sqrt2}=\dfrac{(2-\sqrt2)^2}{2^2-(\sqrt2)^2}\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\=\dfrac{2^2-2(2)(\sqrt2)+(\sqrt2)^2}{4-2}=\dfrac{4-4\sqrt2+2}{2}=2-2\sqrt2+1\\\\=(\sqrt2)^2-2(\sqrt2)(1)+1^2=1^2-2(1)(\sqrt2)+(\sqrt2)^2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\=(1-\sqrt2)^2\\\\\text{Therefore}:[/tex]

[tex]\tan^2\left(\dfrac{7\pi}{8}\right)=(1-\sqrt2)^2\to\boxed{\tan\left(\dfrac{7\pi}{8}\right)=1-\sqrt2}[/tex]

[tex]c)\\\tan\left(\dfrac{\pi}{8}\right)=\tan\left(\pi-\dfrac{7\pi}{8}\right)=\tan\left(-\dfrac{7\pi}{8}\right)=-\tan\left(\dfrac{7\pi}{8}\right)\\\\=-(1-\sqrt2)=\sqrt2-1\\\\y=\sin(2x-1)+a\tan\dfrac{\pi}{8}\\\\\text{We know}\ -1\leq\sin(2x-1)\leq1.\\\\y\geq0\ \text{therefore}\ a\tan\dfrac{\pi}{8}\geq1\\\\\text{We have to move the graph at least one unit up}\\\\a(\sqrt2-1)\geq1\qquad\text{divide both sides by}\ (\sqrt2-1)>0\\\\a\geq\dfrac{1}{\sqrt2-1}\cdot\dfrac{\sqrt2+1}{\sqrt2+1}\\\\a\geq\dfrac{\sqrt2+1}{(\sqrt2)^2-1^2}[/tex]

[tex]a\geq\dfrac{\sqrt2+1}{2-1}\\\\a\geq\dfrac{\sqrt2+1}{1}\\\\a\geq\sqrt2+1\\\\Answer:\ \boxed{a=\sqrt2+1}[/tex]

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of this equation: A. y= (x + 8)(x + 3)

In Geometry, a factored form is a type of quadratic equation that is typically written as the product of two (2) linear factors and a constant;

f(x) = a(x - r)(x - r)

a is the leading coefficient.

r is the roots or x-intercets.

Based on the information provided, we can logically deduce the following quadratic function;

[tex]y=x^2+11x+24[/tex]

By factorizing the quadratic function above completely, we have the following;

[tex]y=x^2+11x+24\\\\y=x^2+8x+3x+24\\\\y=x(x+8)+3(x+8)\\\\y=(x+8)(x+3)[/tex]

Complete Question:

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of which equation?

y= (x + 8)(x + 3)

y = (x + 4)(x + 6)

y= (x + 9)(x+2)

y = (x + 7)(x + 4)

Answer: D) x = 8

Step-by-step explanation: In order to get this answer, you need to keep the 236 and add 59 evry time until you get 708.

Another thing is to multiply 59 by 8, which will give you 472. Now we add 472 and 236 and we get 708.

59 x 8 = 472 + 236 = 708.

56 + 56 + 56 + 56 + 56 + 56 + 56 + 56 = 472 + 236 = 708.

Hope this helped!

Plz mark brainliest!

Answer:

x>8

Step-by-step explanation:

I only answered so the other guy could get brainliest.

Answer: The Y in the problem = 2/7, Good Luck!

Step-by-step explanation:

Simplify both sides of the equation!

Answer:

the answer would be one

Step-by-step explanation:

you simply have to put the question in parts that makes it easy use PEMDAS

it is really helpful on math that looks like this

Question

Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours

Answer:

Step-by-step explanation:

2/5 in 1/2 hour = 4/5 in 1 hour

4/5 * 2 = 8/5 (your answer)

or

2/5 * 2 * 2 =

8/5

Answer:

A

Step-by-step explanation:

[tex]\sqrt{9*4}= \sqrt{36} =6[/tex]

A.) [tex]\sqrt{9}*\sqrt{4}=3*2=6[/tex]

B.) 18

C.) [tex]\sqrt{\frac{9}{4}}=\frac{3}{2}[/tex]

D.) 36

Your answer is A

The multiplication of 9 • 4 equals 36, which is the result of adding 9 to itself 4 times.

The question 'which of the following is equal to 9 • 4?' is asking us to perform a multiplication operation. In Mathematics, when we multiply two numbers, we are essentially adding one of the numbers to itself the number of times indicated by the other number. Therefore, 9 multiplied by 4, which is written as 9 • 4, is equal to adding 9 to itself 4 times: 9 + 9 + 9 + 9.

Let's do the math:

So, 9 • 4 equals 36. This is a basic multiplication concept that is foundational in math.

Answer:

(a) 112, 28, 7, (7/4), (7/16)

Step-by-step explanation:

The sequence is given by the explicit formula

[tex]a_{n} = 112 (\frac{1}{4} )^{n-1}[/tex]

The terms of the sequence are :

[tex]a_{1} = 112 (\frac{1}{4} )^{1-1} = 112  (\frac{1}{4} )^{0} =112 [/tex]

[tex]a_{2} = 112 (\frac{1}{4} )^{2-1} = 112(\frac{1}{4} ) =28 [/tex]

[tex]a_{3} = 112 (\frac{1}{4} )^{3-1} = 112(\frac{1}{4} )^{2} = 7 [/tex]

[tex]a_{4} = 112 (\frac{1}{4} )^{4-1}=112(\frac{1}{4} )^{3} = \frac{7}{4}[/tex]

[tex]a_{5} = 112 (\frac{1}{4} )^{5-1}=112 (\frac{1}{4} )^{4} = \frac{7}{16}[/tex]

Answer:

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

Step-by-step explanation:

We have been given that the graph of a proportional relationship contains the point 8 and 4.

Since we know that a proportional equation is in form: [tex]y=kx[/tex], where k is constant of proportionality.

Let us substitute x=8 and y=4 in proportional equation to find constant of proportionality for our equation.

[tex]4=k*8[/tex]

Upon dividing both sides of equation by 8 we will get,

[tex]\frac{4}{8}=\frac{k*8}{8}[/tex]

[tex]\frac{4}{8}=k[/tex]

[tex]\frac{1}{2}=k[/tex]

Let us substitute k=1/2 in proportional equation.

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

Therefore, our desired equation will be [tex]y=\frac{1}{2}x[/tex].

Answer:

Step-by-step explanation:

The answer to your question is 2/5,0.4,4/10,

Final answer:

The center of a data set can be measured using the mean or the median. In this case, the Rome data center is best described by the mean, while the New York data center is best described by the median.

Explanation:

The center of a data set can be measured using two common ways: the mean and the median. The mean is found by adding up all the values and dividing by the total number of observations. The median is the middle value, or the number that separates the data into two equal halves. It is generally a better measure when there are extreme values or outliers.

In this case, based on the information provided, the Rome data center is best described by the mean, while the New York data center is best described by the median.

Answer:

3(2y+1)

Step-by-step explanation:

First we need to find the factors of each term

6y = 2*3*y

3 = 3*1

The greatest common factor is 3.  Take that out and what remains goes inside the parentheses

3(2y+1)

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{7}{9}[/tex] × [tex]\frac{3}{4}[/tex] × [tex]\frac{2}{7}[/tex]

the 7 on the numerator/ denominator cancel to 1

the 3 and 9 cancel ( 3 → 1 and 9 → 3 )

the 2 and 4 cancel ( 2 → 1 and 4 → 2 )

= [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{1}[/tex]

multiply the remaining values on the numerators/ denominators

= [tex]\frac{1(1)(1)}{3(2)(1)}[/tex] = [tex]\frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

I can't really tell if I'm reading it correctly, but I think the answer is

x - y = 5

Answer:

Step-by-step explanation:

Suppose you have given two numbers say (x and y ).

Now we can have 3 conditions here:

   i . x and y are equal

   ii. x is greater than y

  iii . y is greater than x .

For x and y are equal  : - Difference between two numbers will be zero.

For x and y greater or lesser :- There will be some difference between two numbers x and y. And if this difference between x and y is 5, then it will look like:

x is greater than y

x - y = 5  

or

y is greater than x

y - x = 5

Answer:

I'm sorry i couldn't understand your question. If you wanna take it litterally, around the world there is gas station that could be 5 minutes, 15 or 30 minute from a hospital. could you clarify me on your question

Answer:

1/3 is your answer

Step-by-step explanation:

Note that in the slope intercept form, the equation looks like: y = mx + b

Isolate the y. First, subtract 3x from both sides

3x (-3x) - 9y = (-3x) + 4

-9y = -3x + 4

Next, to fully isolate the y, divide - 9 from both siedes

(-9y)/(-9) = (-3x + 4)/(-9)

y = (-3x + 4)/-9

Simplify

y = (1/3)x - 4/9

You're slope of the line (m in y = mx + b) is 1/3

~

Answer:

I will but there are no problems/questions shown

Step-by-step explanation:

1. a+9

2. 12-x

3. x-7

4. 2a

5. 2a

6. a:8

7. a/3

8. 2(8+a)

The correct answer is D, which includes the empty set, each individual element as a subset, and the set itself containing both elements {-8, 4}.

The question asks for all subsets of the set {-8, 4}. A subset of a set includes any set formed from its elements, including the empty set and the set itself. Therefore, the subsets of the set {-8, 4} are:

So the correct answer is D: Ø, {-8}, {4}, {-8, 4}.

Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.

y = x - 22

where y = student's age

where x = instructor's age

this equation is correct because x(instructor) - 22 will yield the student's age (y).

If the instructor were 44 years old, the student would be 22 years old.

y = 44 - 22

y = 22

If the instructor were 66 years old, the student would be 44 years old.

y = 66 - 22

y = 44