Which shows the relationship between work input and work output? A. input force × input distance > output force × output distance B. input force × input distance < output force × output distance C. input force × input distance = output force × output distance

Answers

Answer 1
input force x input distance > output force x output distance is your answer so A.
Answer 2

Answer:

The correct answer is A

I got it right on my quiz



Related Questions

If, triangle MNO congruent triangle PQR which of the following can you NOT conclude as being true?
A. ray MN congruent ray PR
B. angle M congruent angle P
C. ray NO congruent ray QR
D. angle N congruent angle Q,

Answers

A. ray MN congruent ray PR Since the two triangles are congruent, you can assume that those elements in the same relative position are also congruent. So ray MN congruent to ray PQ ray NO congruent to ray QR ray MO congruent to ray PR angle M congruent to angle P angle N congruent to angle Q angle O congruent to angle R Now with the above 6 items, look at the available options and see what isn't in the above list and the statement "A. ray MN congruent ray PR" pops out as something that's not true, so that is the answer.

Heyo! ;D

So, we can conclude that based on the information given above, the only one we cannot conclude on being true would be Option A) Ray MN ≅ Ray PR

How the bloody hell do I answer these? Please explain how you did it.

1. In the xy plane, line m passes through the points (a,0) and (0,2a), where a>1. What is the slope of line m?
a)-2 b)-1/2 c)2 d)-2a e)2a

2. First, 3 is subtracted from x and the square root of the difference is taken. Then, 5 is added to the result, giving a final result of 9. What is the value of x?
a)3 b)4 c)5 d)16 e)19

3. If S is the set of positive that are multiples of 7, and if T is the set of positive integers that are multiples of 13, how many integers are in the intersection of S and T?
a)none b)one c)seven d)thirteen e)more than thirteen

4. A florist buys roses at $0.50 each and sells them for $1.00 each. If there are no other expenses, how many roses must be sold in order to make a profit of $3.00?
a)100 b)150 c)200 d)300 e)600

Answers

1. the formula for the slope is
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
where (a,0) is x1, y1 and (0,2a) is x2, y2. try to see if you can do it now (:

2. take a number x, then step by step do whatever the question asks for example "First, 3 is subtracted from x" so you know the first thing you need to do is x-3, then go on and you'll get an equation which you can use to solve for x, try it!

3. make a set, S, which has multiples of 7. then make a set, T, which has multiples of 13.
now the intersection of S and T is a set having all elements of S, also found in T (basically the numbers that are common to both). try doing it now!

for fourth, this requires a profit formula(that I do not know), must be explained in your book, try going over it, I'm sure you'll find it there!

What is measure of angle C? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

The answer is tan-1(3/4)= 36.87

What is the incorrect thing to do if you cause damage to an unattended vehicle?

Make every effort to find the owner of the vehicle
Contact your insurance company
Leave a note for the owner with your name, address, and vehicle plate number
Leave the scene immediately without notifying anyone

Answers

It is incorrect to leave the scene immediately without notifying anyone, and in most states it is considered a crime as you are fleeing the scene of a crime. You should make an effort to locate the vehicle's owner, you should contact your insurance company, and you should certainly leave a note for the owner with all of your information.
Final answer:

In the event of damaging an unattended vehicle, the incorrect thing to do is to leave the scene immediately without notifying anyone or attempting to find the owner. Correct actions include trying to find the owner, leaving a note with your contact details, and notifying your insurance.

Explanation:

If you damage an unattended vehicle, the incorrect action to take is to leave the scene immediately without notifying anyone. Legally and ethically, you should make every effort to find the owner of the vehicle. If the owner cannot be found, it's good practice to leave a note with your name, contact information, and relevant details about the incident. Notifying your insurance company is also an important part of this process.

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Triangle ABC has angle measures as shown.


(a) What is the value of x? Show your work.

(b) What is the measure of angle C? Show your work.

Answer:

PLEASE ANSWER AS SOON AS POSSIBLE! 25 POINTS!

Answers

I only know the answer for A. So A+B+C is 180 degrees in all. Since we don't know C yet, we have to add up A and B, which is 87 degrees. Take 180 (the total of the triangle) and subtract 87 which is 93 degrees. So the value of x (C) is 93. Hope this helps, and sorry I don't know b! Been trying to look for an answer lol. :)

Express 1.21212121.... as a fraction

Answers

that would be 1 21/99  or  120/99 as an improper fraction.

To solve such questions we will have to observe the fact that this is a repeating decimal number with the repeating figures being 2 and 1 as 21.

Thus, we can represent 1.21212121... as [tex] 1.\overline{21} [/tex]

Let us represent the original number 1.21212121... by the letter "a". Thus,

a=1.21212121...=[tex] 1.\overline{21} [/tex]

Therefore,[tex] a=1.\overline{21} [/tex]..................(equation 1)

Let us now multiply (equation 1) by 100 to get:

[tex] 100a=100\times 1.212121...=121.\overline{21} [/tex].....(equation 2)

Now, when we subtract (equation 2) from (equation 1), we will get:

[tex] 100a-a=121.\overline{21}-1.\overline{21} [/tex]

[tex] 99a=120 [/tex]

[tex] \therefore a=\frac{120}{99} [/tex]

Thus the given number 1.21212121... can be represented as a fraction as [tex] \frac{120}{9} [/tex].



Suppose the equation of the axis of symmetry for a quadratic function is x = -1 and one of the x-intercepts is 7. What is the other x-intercept?

Answers

The graph of a quadratic function is a parabola.
 The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x coordinate of the vertex is the equation of the axis of symmetry of the parabola.
 Taking into account the definition above, then the other intersection with x will be:
 horizontal distance between the axis of symmetry and intersection with x:
 d = 7 - (- 1) = 7 + 1 = 8
 The second intersection will then be:
 x2 = -1-8 = -9

 Answer: 
 the other x-intercept is:
 x2 = -9

There are 480 jellybeans in an 8-ounce jar. How many jellybeans are there per ounce in the jar?

Answers

1. The information given in the problem says that there are 480 jellybeans in an 8-ounce jar. To find the amount of jellybeans per pounce in the jar, you only have to divide 480 jellybeans by 8 ounces. This is shown below:
 
 x: amount of jellybeans per pounce
 
 x=480 jellybeans/8 ounces
 
 2. Then, the result is:
 
 x=60
 
 How many jellybeans are there per ounce in the jar?
 
 The answer is: There are 60 jellybeans per ounce.

Answer:

the answer is 60

Step-by-step explanation:

A number cube is rolled 450 times. The number 3 comes up 67 times. What is the theoretical probability of rolling a three,

Answers

The answer to this is 67 / 450

We know that:
Experimental probability = number of positive results / number of experiments

So the Experimental probability = 67 / 450

Trapezoid BIRD is dilated to form trapezoid FROG. What corresponding angle is congruent to angle BIR

Answers

Matching the sequence of corresponding letters, ∠BIR ≅ ∠FRO.

Answer: ∠FRO


Step-by-step explanation:

A dilation is a transformation that forms an image that is the exactly same shape as the original, but of a different size.

Given : Trapezoid BIRD is dilated to form trapezoid FROG.

As dilation creates similar image as the original .

Thus by the property of similarity ,the corresponding angles are congruent.

Therefore, angle congruent to ∠BIR must be ∠FRO [first three letters of the name of the shapes]


Please explain how you got to the answer will give brainliest thanks!

Answers

To find the length of the light pole you'll have to use the sine ratio.

sin 30 = x/43
43 (sin 30) = x
21.5 = x

Hope this helps :)
The height of the pole happens to be the side (of this triangle) opposite the given 30 degree angle, and the hypotenuse (43 m) is given.  Thus, 

height of pole = opposite side = (43 m)*sin (30 deg)  = 21.5 m.

I WILL GIVE BRAINLIEST!!! I BEG SOMEBODY TO HELP ME PLS!!!

What is the slope of this line?

A) -1/4
B) 1/4
C) -4
D) 4

Answers

Since the grid is square and the angle is steep, you know the magnitude of the slope is greater than 1.

Since the line slopes downward (to the right), you know the sign of the slope is negative.

Only selection C is a viable choice. (It also happens to be right, since the line drops 4 units for each horizontal unit.)

What is the trigonometric ratio for sin z ?

 

enter your answer, as a simplified fraction, in the boxes.
$$


​?

Answers

Sorry this is a late response, I have just got done taking it myself. The answer is 3/5. You have 40 and 32, so you try figuring out (since you're simplifying) the LOWEST common multiple in this case. Since you always put the smallest number (the ones given to you which in this case is 32) as the numerator, the largest [is 40] making it the denominator. Apparently, the answer is 3/5. I argue that because there is no number between these two that three goes into, since the smallest that goes into 32 is 4. If they'd fix the answer, it'd be 4/5. Other than that, put down 3/5.

The trigonometric ratio for sin z is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

The trigonometric ratio for sin z is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. In other words, if we have a right triangle with angle z, sin z is equal to the length of the side opposite to angle z divided by the length of the hypotenuse.

Mathematically, sin z = opposite/hypotenuse.

For example, if we have a right triangle with angle z, and the length of the opposite side is 3 units and the length of the hypotenuse is 5 units, then sin z = 3/5.

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From a cruising depth of 75 m below sea lever (BSL) the Nautilus descended to 105 m BSL and then rose to 80 m BSL. What is the total vertical distance the Nuatilus traveled?

Another Question -

A red kangaroo jumps along 40 km/h. At this rate how long would it take to jump 2 km in minutes?,

Answers

Final answer:

The Nautilus traveled a total vertical distance of 55 meters. A red kangaroo traveling at a speed of 40 km/h would take approximately 3 minutes to jump 2 km.

Explanation:

Total Vertical Distance Traveled by the Nautilus

To calculate the total vertical distance the Nautilus traveled, we need to add the distance it descended and the distance it ascended. The Nautilus descended from 75 m BSL to 105 m BSL, which is a distance of 105 m - 75 m = 30 m. Then it ascended from 105 m BSL to 80 m BSL, a distance of 105 m - 80 m = 25 m. So the total vertical distance traveled is 30 m + 25 m = 55 m.

Time for a Red Kangaroo to Jump 2 km

The speed of the kangaroo is 40 km/h. To find the time to jump 2 km, we first convert the speed to km/min: 40 km/h ÷ 60 min/h = 0.6667 km/min. Now, we divide the distance by the speed: 2 km ÷ 0.6667 km/min = 3 min. Thus, it will take the kangaroo approximately 3 minutes to jump 2 km.

What is true about the solutions of a quadratic equation when the radicand in the quadratic formula is negative? No real solutions Two identical rational solutions Two different rational solutions Two irrational solutions

Answers

The answer is 
no real solutions. <<<<  answer.

To confirm this, the question is saying what is the square root of (say) - 5?
There is no answer in the real number system.

Answer:

If the radicand in the quadratic formula is negative then no real solutions possible.

Step-by-step explanation:

Given that when the radicand in the quadratic formula is negative then we have to find the true statement about the solution of quadratic equation.

Radicand of quadratic formula i.e the discriminant of quadratic formula.

[tex]D=b^2-4ac[/tex]

which comes in the solution under the root.

The solution of general quadratic equation is

[tex]x=\frac{-b\pm \sqrt D}{2a}[/tex]

As discriminant is negative then we can not find any real root for the given equation.

Hence, option 1 is correct.

No real solutions possible.

The Truth About Antibacterial Soap
According to Discovery Fit & Health, about 75 percent of liquid soaps claim to be antibacterial. While this kind of soap sounds like a good idea, it is really not more effective than regular soap. Soap in general works by binding with dirt and grime and bacteria. This binding action allows the particles to be washed away easily. Antibacterial soap really does no more than regular soap. In fact, to be more effective than regular soap, antibacterial soap should stay on your skin for about two minutes to do what it claims it can do. Most people do not wash their hands that long. In addition, antibacterial soap may do harm. First it kills both beneficial and harmful bacteria. Second, scientists believe bacteria may become resistant to antibacterial agents over time, especially if they are not used correctly. Finally, antibacterial soap does nothing to viruses. Most of the time, we get sick from viruses, not bacteria. In sum, antibacterial soap does not live up to the hype. You are better off just using regular soap.
Works Cited
Is Antibacterial Soap Any Better than Regular Soap?

http://health.howstuffworks.com/skin-care/cleansing/myths/question692.htm


How is "The Truth About Antibacterial Soap" organized?

Fact by fact
Cause and effect
Chronological order
Problem-solution

its actually language arts not math sorry

Answers

it is organized in chronological order

Answer:

chronlogical order

the other answer for the other question is they dont wash their hand long enough

If the perimeter of a rectangle is expressed by the formula p 2l 2w then w can be expressed as

Answers

we have that
P=(2l+2w)
then
subtract 2L from both sides 
P-2l=2l+2w-2l-----------> P-2l=2w
divide by 2 on both sides 
(P-2l)/2=2w/2
(P-2l)/2=w------------------> w=(P-2l)/2
w=(P-2l)/2------------> w=(P/2)-(2l/2)---------> w=(P/2)-l

the answer is 
w=(P/2)-l

the point (0,0) is a solution to which of these inequalities?
a.y+7< 2x + 6
b.y- 7< 2x - 6
c.y -6< 2x - 7
d.y + 7< 2x -6

Answers

the apex answer to it D. y – 7 < 2x – 6

Answer:  The correct option is (B) [tex]y-7<2x-6.[/tex]

Step-by-step explanation:  We are given to select the inequalities that has the point (0, 0) as a solution.

Option (A):

The given inequality is

[tex]y+7<2x+6.[/tex]

At the point (0, 0), we have

[tex]L.H.S.=y+7=0+7=7,\\\\R.H.S.=2x+6=2\times0+6=6.[/tex]

Since 7 > 6, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Option (B):

The given inequality is

[tex]y-7<2x-6.[/tex]

At the point (0, 0), we have

[tex]L.H.S.=y-7=0-7=-7,\\\\R.H.S.=2x-6=2\times0-6=-6.[/tex]

Since -7 < - 6, so the point (0, 0) is a solution to this inequality.

This option is correct.

Option (C):

The given inequality is

[tex]y-6<2x-7.[/tex]

At the point (0, 0), we have

[tex]L.H.S.=y-6=0-6=-6,\\\\R.H.S.=2x-7=2\times0-7=-7.[/tex]

Since -6 > - 7, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Option (D):

The given inequality is

[tex]y+7<2x-6.[/tex]

At the point (0, 0), we have

[tex]L.H.S.=y+7=0+7=7,\\\\R.H.S.=2x-6=2\times0-6=-6.[/tex]

Since 7 > - 6, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Thus, the point (0, 0) is a solution to the inequality [tex]y-7<2x-6.[/tex]

Option (B) is correct.

Grace invests $6600 in a money market account at a rate of 4% for 5 months. How much money will she receive in interest if the interest is calculated using the simple interest formula? Round your answer to the nearest penny if necessary. Use the formula I = Prt Hint: 4% must be written in decimal form and time must be expressed in years.

Answers

keeping in mind that 5 months is not even a year, since there are 12 months in a year, then is really just 5/12 of a year, therefore

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$6600\\ r=rate\to 4\%\to \frac{4}{100}\to &0.04\\ t=years\to &\frac{5}{12} \end{cases} \\\\\\ A=6600\left( 1+0.04\cdot \frac{5}{12} \right)\implies A=6600\left( 1+\frac{1}{60} \right)\\\\\\ A=6600\left( \frac{61}{60} \right)[/tex]

Convert 11 ounces into pounds. Round your answer to the nearest tenth.

Hint: There are 16 ounces in one pound.

A. 176 pounds
B. 0.7 pounds
C. 1.5 pounds

Math~

Answers

11 oz * (1 lb)/(16 oz) = 0.6875 lb ≈ 0.7 lb

Selection B is appropriate.
Final answer:

To convert 11 ounces to pounds, divide 11 by 16. The result is 0.6875 pounds, which rounds up to 0.7 pounds.

Explanation:

To convert 11 ounces to pounds, you would divide the number of ounces by the number of ounces in one pound, which is 16.

Since there are 16 ounces in one pound, we can make this conversion by dividing the number of ounces by 16.

11 ounces / 16 ounces/pound = 0.6875 pounds

Rounded to the nearest tenth, this is approximately 0.7 pounds.

Therefore, the correct answer is B. 0.7 pounds.

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If x + 3 is a factor x^2 + kx + 2k, where k is a constant, what is the value of k?

Answers

What the statement means is that x^2 + kx + 2k = 0 when x = -3. That's because x + 3 will equal zero
(-3)^2 + (-3k) + 2k = 0
9 - 3k + 2k =0
9 - k = 0
9 =  k

Check
=====
x^2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
These are the two factors. As expected from the givens one of them is (x + 3)


helpppppppppppppppppppppp

Answers

For this case what you should do is evaluate the function at a point where you can find the value of and without problems.
 So we have to:
 y = sin (x + 90)
 We evaluate x = 0
 y = sin (0 + 90)
 y = 1
 Answer:
 y = sin (x + 90)
 Option A

The sector of a circle with a diameter of 20 inches has a central angle measure of 36°. What is the area of the sector?

40π in²

10π in²

2π in²

π in²

plz explain what you did to get the answer so that i vcan understand and do it alone in the future

Answers

We need the radius to find the area of sector.

radius = 20/2 = 10

Area of sector:

πr²(x/360) = x is the central angle in degrees.
π(10)²(36/360)
10π in²

Hope this helps :)

What is the multiplicative rate of change for the exponential function graphed to the left?

Answers

the answer to this question is 3

As, the values on the x-axis changes, the value of y-axis gets tripled,the rate of change of values of response with respect to the domain is 3. Hence, the multiplicative rate of change of the exponential function is 3.

Given  information:

The graph of an exponential function is having the different rate of change of function with respect to the values of x and y.

The values given for the function are ,

[tex]f(-2)=2/9\\f(-1)=2/3\\f(0)=2\\f(1)=6\\f(2)=6\\f(3)=54\\[/tex]

As, the given function is having a growth on every point which is multiplicative, hence the multiplicative rate of change for the exponential function can be calculated.

According to the points given, the rate of change of values of response with respect to the domain is 3,

Hence, the multiplicative rate of change of the exponential function is 3.

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Which of the following numbers is irrational?



negative 15 over 4, negative 7 over 9, square root of 4, π






negative 15 over 4
negative 7 over 9
square root of 4
π,

Answers

An irrational number is one that can’t be expressed as a simple fraction.

For instance, the first few digits of the square root of two is written as 1.414213562373095... The digits keep going and cannot be expressed as a fraction. But think of 0.33333... That can easily be written as one-third. The distinguishing feature is that there’s no pattern in the digits for the square root of two.

The first two options are integer fractions. We rule those out immediately. The square root of four is tempting, but realize that it is just equal to two. We come to π (pi).

Arguably the most famous irrational number is π, which starts off as 3.14159265358979... Here, there is again no pattern and the digits extend forever. This meets our definition of our irrational.

The rational numbers are -15/4, -7/9, and √4, the irrational number is π.

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

It is given that:

It is given that the numbers are:

-15/4

-7/9

√4

π

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The rational number can be written in the form of p/q

Where q cannot be zero.

-15/4 - It is a rational number.

-7/9 - It is a rational number.

√4 = 2 - It is a rational number.

π - Pi is an irrational number.

Thus, the rational numbers are -15/4, -7/9, and √4, the irrational number is π.

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(2a 2 + a + 3) (a - 1) Please help

Answers

Hey there!

You can use distributive property, as I mentioned in your previous questions.

multiply...
2a² × a = 2a³
2a² × -1 = -2a²
a × a = a²
a × -1 = -a
3 × a = 3a
3 × -1 = -3

add all those terms..
2a³ - 2a² + a² - a + 3a - 3
add the like terms

2a³ - a² + 2a - 3

Hope this helped :)
hope this help you 2a^3 − a^2 + 2a − 3

Find indicated values: m AB = m ABC = m BAC = m ACB =

Answers

Answer:

A. [tex]\text{m AB}=49^o[/tex].

B. [tex]\text{m ABC}=253^o[/tex].

C. [tex]\text{m BAC}=156^0[/tex].

D. [tex]\text{m ACB}=311^o[/tex]

Step-by-step explanation:

We have been given a circle and we are asked to find the arc measures of given circle.

Since we know that the measure of an arc that subtends to central angle equals the measure of central angle.

A. We can see from our circle that arc AB subtends to central angle AOB.

[tex]m\angle AOB=49^o[/tex]

[tex]\text{m AB}=49^o[/tex]

Therefore, measure of arc AB will be also 49 degrees.

B. First of all we will have to find the measure of arc BC.

Since we know that the sum of all central angles in a circle is 360°, so we can find the measure of arc BC by subtracting measure of arcs AB and AC from 360 degrees.

[tex]\text{m BC}=360^o-(\text{m AB+m AC})[/tex]

[tex]\text{m BC}=360^o-(49^o+107^o)[/tex]

[tex]\text{m BC}=360^o-156^o[/tex]

[tex]\text{m BC}=204^o[/tex]

We can see that ABC equals arc AB plus arc BC.

[tex]\text{m ABC}=\text{m AB}+\text{m BC}[/tex]

Upon substituting measures of arc AB and BC we will get,

[tex]\text{m ABC}=49^o+204^o[/tex]

[tex]\text{m ABC}=253^o[/tex]

Therefore, measure of arc ABC is 253 degrees.

C. We can see that arc BAC equals arc BA plus arc AC.

[tex]\text{m BAC}=\text{m BA}+\text{m AC}[/tex]

Upon substituting measure of arc BA and AC we will get,

[tex]\text{m BAC}=49^o+107^0[/tex]

[tex]\text{m BAC}=156^0[/tex]

Therefore, measure of arc BAC is 156 degrees.

D. We can see that arc ACB equals arc AC plus arc CB.

[tex]\text{m ACB}=\text{m AC}+\text{m CB}[/tex]

Upon substituting measure of arc AC and CB we will get,

[tex]\text{m ACB}=107^o+204^o[/tex]

[tex]\text{m ACB}=311^o[/tex]

Therefore, the measure of arc ACB is 311 degrees.

The cost of 16 notebooks at store J is $24. The notebooks at store J are all the same price. The cost of notebooks at store J are all the same price. The cost of store K is shown on the graph below.
Which store has the least expensive cost per notebook and how much?

Answers

now, we know that at Store J, for 16 books is 24 bucks...hmmm how much is it for 10 books anyway?

[tex]\bf \stackrel{Store~J}{\begin{array}{ccll} books&cost\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 16&24\\ 10&x \end{array}}\implies \cfrac{16}{10}=\cfrac{24}{x}\implies x=\cfrac{10\cdot 24}{16}\implies x=15[/tex]

so, that much at Store J.

now, look at the graph, notice the point when x = 10, y = 8, so at Store K, is 8 bucks for 10 books.

which is cheaper?  well, surely you'd know that.

Suppose x is any positive number.
Circle 1: center (−7, 4) and radius 8x
Circle 2: center (−7, 4) and radius 2x
Why is circle 1 similar to circle 2?

A: Circle 1 and circle 2 have the same diameter.
B: Circle 1 is a dilation of circle 2 with a scale factor of 4.
C: Circle 1 is congruent to circle 2.
D: Circle 1 is a dilation of circle 2 with a scale factor of 0.25.

Answers

B: Circle 1 is a dilation of circle 2 with a scale factor of 4. 

Answer:

Option B: Circle [tex]1[/tex] is a dilation of circle  [tex]2[/tex] with a scale factor of  [tex]4[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor

All circles are similar and the scale factor is equal to the ratio of its radius or the ratio of its diameters or the ratio of its circumferences

Let

z------> the scale factor

A----> the radius of circle 1

B-----> the radius of circle 2

so

[tex]z=\frac{A}{B}[/tex]

we have

[tex]A=8x\ units[/tex]

[tex]B=2x\ units[/tex]

[tex]z=\frac{8x}{2x}=4[/tex]

The dilation is an enlargement because the scale factor is greater than [tex]1[/tex]

10 POINTS + BRAINLIEST ANSWER!!

The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income. According to these results, if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random, what is the approximate probability that this resident had an income between $50,000 and $79,999?

A. 0.20

B. 0.25

C. 0.40

D. 0.80

Answers

Final answer:

To determine the probability that a U.S. resident aged 35-64 with health insurance in 2015 had an income between $50,000 and $79,999.

Explanation:

To calculate the probability that a randomly selected U.S. resident aged 35-64 with health insurance in 2015 had an income between $50,000 and $79,999, we would need specific data from the table mentioned in the question.

The process to find the probability would involve dividing the number of residents aged 35-64 with incomes between $50,000 and $79,999 by the total number of residents aged 35-64 with health insurance. The result would then be converted into a percentage to arrive at the probability.

Final answer:

To find the approximate probability of a U.S. resident with health insurance who was 35-64 in 2015 having an income between $50,000 and $79,999, we divide the number of residents in that category by the total number of residents with health insurance. The approximate probability is 0.1167.

Explanation:

To calculate the approximate probability that a U.S. resident with health insurance who was 35-64 had an income between $50,000 and $79,999 in 2015, we need to find the number of U.S. residents with health insurance in that age group and income category, and divide it by the total number of U.S. residents with health insurance.

From the given table, we can see that there were 32,500 U.S. residents with health insurance who were 35-64 years old and had an income between $50,000 and $79,999.

The total number of U.S. residents with health insurance in 2015, across all age groups, is 278,500.

So, the approximate probability is:

Probability = Number of U.S. residents with health insurance who were 35-64 and had an income between $50,000 and $79,999 / Total number of U.S. residents with health insurance

Approximate Probability = 32,500 / 278,500 = 0.1167

Therefore, the approximate probability that a U.S. resident with health insurance who was 35-64 in 2015 had an income between $50,000 and $79,999 is 0.1167.

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