A circle has a radius of 45.62 cm. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the nearest tenth.​

The probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.6

To find the probability that a customer who likes cake also likes pie, we need to look at the overlap between the cake and pie circles in the Venn diagram. The diagram shows that 10 customers like both cake and pie, out of a total of 25 customers surveyed.

So, the probability that a randomly chosen customer who likes cake also likes pie is:

P(pie | cake) = number of customers who like both cake and pie / number of customers who like cake

P(pie | cake) = 10/15

P(pie | cake) = 2/3

Therefore, the probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.67.

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Answer: 2/3

Step-by-step explanation:

Answer:

C) 13

Step-by-step explanation:

f(x) = 5x -2

f(3) = 5(3) -2

f(3) = 15 - 2

f(3l) = 13

Answer:

2 dollars

Step-by-step explanation:

minus the money he spent on the drink so 2-16=14 then divide by the amount of candy bars he bought 14÷7=2 then you get your answer

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

Assuming AB = BC = AC = x units, we get:

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

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The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

Answer:

25

Step-by-step explanation:

angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.

The angle MKL is equal to 155 which corresponds to the value of x=155.

The angle equal to 90 degree is called right angle and the triangle in which one angle is equal to 90 is called right angled triangle.

In the figure we can see that the value of angle JKL is equal to 90, value of angle JKM is 65 and we have been given that angle MKL is equal to x.

From the figure we can see that,

MKL=JKL+JKM

=90+65

=155 degree

Hence the value of x is equal to 155 degree.

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Answer:

15m,20m,25m

Step-by-step explanation:

15 cm, 20cm and 25cm follows the same pattern as the 3-4-5 pattern of the Pythagorean triplet. The Pythagorean triplet holds true.

It becomes

\($$\begin{aligned}5: 8: & 6.5: x \\5 \times x & =8 \times 6.5 \\x & =\frac{8 \times 6.5}{5} \\x & =\frac{52}{5} \\x & =10.4\end{aligned}$$\)

Therefore,

5 machines will take $10.4$ hour to produce the same number of parts.

Equivalent interest rates are interest rates that produce the same future value after one year. For example, 10% compounded quarterly and 10.125% compounded semiannually are equivalent nominal interest rates. If you calculate the future value of $100 invested at either rate for one year, you will obtain $110.38.

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The distance falls by the object in 3 seconds is 88.2 meters

The distance that an object falls when it is dropped is directly proportional to the square of the amount of time

Consider the distance as d and the time as t

Then the relationship will be

d ∝ t^2

d = kt^2

The distance falls in 2 seconds = 39.2 meters

Substitute the values in the equation

39.2 = k × 2^2

39.2 = 4k

k = 39.2 /4

k = 9.8

When the time = 3 seconds

The distance = 9.8 × 3^2

= 9.8 × 9

= 88.2 meters

Therefore, the object fall 88.2 meters in 3 seconds

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Answer:

4

Step-by-step explanation:

(H,H) (T,T)(T,H)(H,T)

We will find the sum of 3+ 1 1/2 with help of a

Answer:

C

Step-by-step explanation:

This question you can use simple elimination, can save you time if it's right. Obviously its not A or B as the hypotenous needs to be bigger than the base. Knowing the base is 32, there is not enough room to justify an additional 20 feet, eliminating D. Answer must be C. If you wanted to do it the right way use trig/socatoa to find the missing hypotenouse as the top angle of the triangle is 45, just like the other upside down one.

Answer: 30.5

Step-by-step explanation:

To know if the classmate’s family is actually wealthy, one will need to know their assets and their debt.

In financial accounting, an asset means a resource that is owned or controlled by a business or an economic entity. An asset is anything that can be used to produce positive economic value.

Assets represent the value of ownership that can be converted into cash and the examples of personal financial assets include cash and bank accounts, real estate, personal property like furniture and vehicles, and investments such as stocks, mutual funds, and retirement plans.

In this case, through the assets, one will be able to know that they're wealthy. The debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. This is the money that they owe.

The asset should more than the debt.

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Answer:

184

Step-by-step explanation:

92 x 4.6 is 423.2 then you divide it by 2.3 which gets you 184.

Answer:

184

92 times 4.6 = 423.2

423.2 divided by 2.3 = 184

Step-by-step explanation:

Hope it helps! =D

Answer: C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

16 fl oz Vinegar

8 fl oz Water

The ratio of vinegar to water is 2:1, as you need 2 parts of vinegar for every 1 part of water.

Add these together to get 3, which is the proportion the ratio will be divided into.

Divide the total 24 fl oz by the group of 3, and you work out that each part of the ratio should be scaled up by 8.

Multiply each part of the ratio by 8 to get 8x2 : 8x1. The ratio of vinegar to water is now 16:8, so you need 16 fl oz of vinegar and 8 fl oz of water.

Answer:

16 fl oz vinegar, 8 fl oz water.

First, look at your ratio (2:1), and determine how many parts in total there would be. That, of course, is 3 (2 parts vinegar + 1 part water = 3 parts total). Then, divide the total 24 fl oz in the spray by this number to get the number of fl oz in each part of the bottle; with the equation, you should get 24 / 3 = 8 fl oz. Finally, multiply this two each part of the ratio: 2 parts x 8 fl oz = 16 fl oz of vinegar, 1 part x 8 fl oz = 8 oz of water.

Hey there!

If x = 48

48/4 = 12 because 12 • 4 equals 48

Answer: 12

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

x=8

Step-by-step explanation:

{x}{4}x=48

{x^2}{4}=48

{4x^2}{4}=48\

Answer:

Since x=3 and y=2, plug into the equation.

4(3)²-2(2)

= 4(9)-4

= 36-4

= 32

Answer:

she weighs 2lbs 11oz more one month after birth

Step-by-step explanation:

B. A direct variation function with a large value for k

This is most likely to have the smallest value for y if x is large.

What is meant by value?

The term "value" refers to the worth, usefulness, or significance of something, often expressed in terms of its financial or quantitative value. It can also refer to the qualities or characteristics that make something desirable or valuable.

What is meant by function?

a function is a rule that assigns a unique output or value to each input or argument in a given set. It describes the relationship between two sets and is often represented by an equation or graph.

According to the given question:

For a direct variation function y=kx, if x is large, the value of y will also be large, because k is positive. However, if we increase the value of k, the rate of increase of y with respect to x will also increase. Therefore, a direct variation function with a large value of k will increase more rapidly than a direct variation function with a small value of k. Thus, a direct variation function with a large value for k is most likely to have the smallest value for y if x is large.

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The point on the plane 8x - y + 8z = 80 nearest the origin is (5, -10, 5).

To find the point on the plane 8x − y + 8z = 80 nearest the origin, we need to use the concept of distance between a point and a plane. Let's assume that the point we are looking for is (a, b, c). We know that the distance between the point and the plane is given by the formula:

distance = |ax + by + cz - d| / √(a^2 + b^2 + c^2)
where d is the constant in the equation of the plane.
In this case, the equation of the plane is 8x - y + 8z = 80. Therefore, a = 8, b = -1, c = 8, and d = 80.

The distance between the point (a, b, c) and the origin (0, 0, 0) is simply the length of the vector (a, b, c). Thus, we need to minimize the length of the vector (a, b, c) subject to the constraint that the point (a, b, c) lies on the plane 8x - y + 8z = 80.

We can use Lagrange multipliers to solve this problem. The Lagrangian function is given by:
L(a, b, c, λ) = a^2 + b^2 + c^2 + λ(8a - b + 8c - 80)

Taking the partial derivatives of L with respect to a, b, c, and λ and setting them equal to zero, we obtain the following system of equations:

2a + 8λ = 0
2b - λ = 0
2c + 8λ = 0
8a - b + 8c - 80 = 0

Solving for a, b, c, and λ, we get:

a = 5
b = -10
c = 5
λ = -1/2

we have found that the point on the plane 8x − y + 8z = 80 nearest the origin is (5, -10, 5). To solve this problem, we used the concept of distance between a point and a plane, which states that the distance between a point (a, b, c) and a plane ax + by + cz = d is given by |ax + by + cz - d| / √(a^2 + b^2 + c^2). We minimized the distance between the origin and the point on the plane subject to the constraint that the point lies on the plane. Using Lagrange multipliers, we obtained the point (5, -10, 5) as the solution to the problem.

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Answer:

6

Step-by-step explanation:

2 was to solve this:

1. Definition of an Inverse Function.

A inverse function states that if we have a function f(x), by definition of a function,, we have ox and y values that map with each other. In an Inverse function, the x and y values will swap places so that y map to x.

\(f {}^{ - 1} (0)\)

implies that what value of x will give us 0. here it is 6.

The other way is to find the equation of f(x). We have a y intercept of 3, a negative slope. And the value of the slope is 1/2 so the equation in slope y intercept form.

y=-1/2x+3.

Then we apply rules for solving for inverse of functions.

x=-1/2y+3

x-3=-1/2y

-2x+6=y

Now plug 0 in for x

0+6=6

so 6 is the value of inverse function.

Answer:

\(y = x+12\)

Step-by-step explanation:

Parallel => This means it has the same slope as this one.

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

Putting this in slope intercept form to get b

\(y = mx+b\)

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

Now putting m and b in the slope-intercept form to get the required equation:

=> \(y = mx+b\)

=> \(y = x+12\)

Answer:

Now, I’m gonna assume that the equation is actually y = -4/3x + 11

The answer would be -4/3x - 6

Step-by-step explanation:

So since the line is parallel to the equation, y = -4/3x + 11, that means they have the same slope, so it’s -4/3x.

Using point-slope form, we can create an equation.

y - 2 = -4/3 (x + 6)

y1 = 2 and x1 = -6, we made it into +6 because subtracting a negative makes it addition.

Now our final equation would be y = -4/3x - 6

Answer:

D. 0≤y≤5

Step-by-step explanation:

The range refers to how far on the y axis a function exists on a graph. This function starts at y=0 and ends at y=5, meaning you can find a point on the function for any  y-level between 0 and 5. So y is greater than or equal to 0, and is less than or equal to 5.

A: A function with a range of all real numbers goes both up and down infinitely, however this function does not go up and down infinitely so we can rule out A.

B: If y>0, the function would start above y-level 0 and go up infinitely, however this graph does not display that so we can rule out B as well.

C: C is the domain of the graph, which is how far left and right the function exists.