Consider a cube that measures 1 inch on each side. We can think of a cubic foot as a dilation of the cubic inch by a factor of 12. What is the volume, in cubic inches, of a cubic foot? *

Answer:The three consecutive integers are 23, 24 and 25

Step-by-step explanation:

23+24+25=72

The coordinates of points which divide line KL into a ratio  of 2 to 1 is (3,0)

Here we have to use the section formula of coordinate geometry.

P(x1, y1) and Q(x2, y2) are two points to consider  Finding the coordinates of the point R that divides PQ in the ratio m: n is necessary because PR/RQ = m/n. Given the ratio, the point R can either be outside of the segment PQ or between P and Q.

here in this question x1 = -3 ,y1= -2 x2 = 6 y2 =1.

m =2 n =1.

formula gives x coordinates as

x =  (m*x2 + n*x1)/(m+n)

putting the values

x = 2*6 + 1*(-3)/(3)

x =  (12-3)/3 = 9/3 =3

the formula gives y coordinates as

y = (m*y2 + n*y1)/(m+n)

y = (2*(1) + 1*-2)/3 = 0/3 = 0.

So the coordinates of points which divides line KL into a ration  of 2 to 1 is (3,0)

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Step-by-step explanation:

I don't understand the question

The formula for the probability that exactly k balls are red when a collection of n < min{m, n - m} balls is taken out at random without replacement is given by:P(k red balls) = (C(m, k) * C(n - m, n - k)) / C(n, n) = (m! / (k! * (m - k)!) * (n - m)! / ((n - k)! * (n - m - n + k)!)) / (n! / (n! * 0!)) = (m! * (n - m)!) / (k! * (m - k)! * (n - k)! * n!).

Given n balls, m of which are red and n - m are blue, if a collection of n < min{m, n - m} balls is taken out at random without replacement, the probability that exactly k balls are red can be calculated using the Hypergeometric Distribution. The formula for the probability that exactly k balls are red is given by: P(k red balls) = (C(m, k) * C(n - m, n - k)) / C(n, n)

where C(n, k) denotes the number of combinations of n things taken k at a time, and is given by: C(n, k) = n! / (k! * (n - k)!).

Therefore, the formula for the probability that exactly k balls are red when a collection of n < min{m, n - m} balls is taken out at random without replacement is given by:

P(k red balls) = (C(m, k) * C(n - m, n - k)) / C(n, n) = (m! / (k! * (m - k)!) * (n - m)! / ((n - k)! * (n - m - n + k)!)) / (n! / (n! * 0!)) = (m! * (n - m)!) / (k! * (m - k)! * (n - k)! * n!).

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Three people get into an empty elevator at the first floor of a building that has floors. Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

To simplify the problem we can see that there are three persons and all of them have their desired floors. Each one of them has pressed the button for their floor.

We can construct a number line to represent the floors. Let us suppose that the number line represents the floors of a 10 story building.

Number line: ... 7 8 9 10 [first person] [second person] [third person]

Let us see the scenario where the buttons for consecutive floors are pressed. Let the first person press the button for the 3rd floor. Then the second person could press the button for either the 2nd floor or the 4th floor.

We can only have the buttons for consecutive floors pressed if the second person presses the button for the 2nd floor

The probability of this happening. There are only 2 possibilities for the second person to press the button:

Press the button for the 2nd floor.

Press the button for the 4th floor.

Both of these possibilities are equally likely.

Therefore the probability that the second person will press the button for the 2nd floor is 1/2.The third person has only one choice. They can only press the button for the 4th floor.

Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

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Alexa landed right below the helicopter, which means she landed 3.4 kilometers away from the skydiving center.

To solve the problem, we need to use trigonometry. We know that the helicopter traveled 3.4 kilometers, and it ascended at an angle of 20°.

We can use this information to find the height of the helicopter above the ground using the trigonometric function tangent:

tan(20°) = height / 3.4 km

Solving for height, we get:

height = 3.4 km * tan(20°) ≈ 1.16 km

Now we can use the height to find the distance from the skydiving center to Alexa's landing spot. We know that Alexa fell in a straight line perpendicular to the ground, so we have a right triangle where the height of the helicopter is the opposite side, and the distance we're looking for is the adjacent side.

We can use the trigonometric function tangent again:

tan(90°) = distance / height

Solving for distance, we get:

distance = height * tan(90°) = 1.16 km * 0 = 0 km

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Complete question is:

Alexa's friends got her a skydiving lesson for her birthday. her helicopter took off from the skydiving center, ascending in an angle of 20°, and traveled a distance of 3.4 kilometers before she fell in a straight line perpendicular to the ground. How far from the skydiving center did Alexa land?

2 cookies per minute

Answer:

I cant answer everything but I know that there are 8 cups in a liter

Step-by-step explanation:

Answer:

B,D

Step-by-step explanation:

A hot air balloon moves 1.2 kilometres horizontally from its launch location. From the launch site to the balloon, there is a 15° elevation difference. 3400 feet are covered.

The balloon flies.

\($\begin{aligned} \tan 15^{\circ} & =\frac{D C}{A C} \\ A C & =\frac{D C}{\tan 15^{\circ}} \\ & =\frac{450}{\tan 15^{\circ}} \\ & =1,680 \mathrm{ft} \\ \angle A C B & =180^{\circ}-\left(13^{\circ}+19^{\circ}\right) \\ & =148^{\circ}\end{aligned}$\)

By using the triangle ABC,

\($\frac{A B}{\sin 148^{\circ}}=\frac{2117}{\sin 19^{\circ}}$\)

\($\begin{aligned} A B & =\frac{2117 \sin 148^{\circ}}{\sin 19^{\circ}} \\ & =3,400 \mathrm{ft}\end{aligned}$\)

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The solutions for x in [0, 2π) are: x = π / 3, 5π / 3, 7π / 3, 11π / 3

Starting with the given equation sin(2x) = √3 cos(x), we can use some trigonometric identities to simplify it:

sin(2x) = √3 cos(x)

2 sin(x) cos(x) = √3 cos(x)   (using the double angle identity for sine)

2 sin(x) = √3             (since cos(x) is nonzero, we can divide both sides by cos(x))

sin(x) = √3 / 2

So we need to find all values of x in [0, 2π) such that sin(x) = √3 / 2.

From the unit circle, we know that sin(x) = √3 / 2 when x is π / 3 or 5π / 3. However, we need to include all angles in [0, 2π) that are coterminal with these angles. Since the period of sine is 2π, adding or subtracting any multiple of 2π from these angles will give us another angle that satisfies sin(x) = √3 / 2.

Therefore, the solutions for x in [0, 2π) are:

x = π / 3, 5π / 3, 7π / 3, 11π / 3

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The single sample T test refers to the statistical study involving a test that is used to determine if a group is significant of a different type from a known population. the null hypothesis for this test is the ability to not leave any difference between the sample mean and the population means.

Hence,  the underlying logic behind the single sample T test is that it enables to initiation of the comparison of the sample means to a known or unknown population and proceeds to determine if there is any difference between them that is statistically significant. It chooses standard errors to differentiate between the sample mean and the population means.

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The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.

In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.

Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.

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The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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There are 12 possible seating arrangement that Ali, Bonnie, Carlo, and Dianna can seat in a 4 seated car while visiting to a nearby theme park.

There are in total 4 people so the the possible seating arrangement should be 4! = 4*3*2 = 24.

But only 2 people know how to drive a car that is Bonnie and Carlo,

So the remaining seat can be occupied by any three that are remaining beside the driver.

So 3 remaining people can go in the front passenger seat.

There are 2 people who can go in the first back passenger seat.

The remaining person must go in the last seat.

Thus, there are 2x3x2 or 12 ways that they can be seated.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Answer:

3 seconds

proofi took the test

The object reaches its maximum height after 3 seconds.

The correct option is 3 seconds.

To find the time at which the object reaches its maximum height, we need to determine the vertex of the parabolic function\(h(t) = -16t^2 + 96t + 6\) . The vertex form of a parabola is given by \(h(t) = a(t - h)^2 + k\), where (h, k) represents the vertex.

In this case, a = -16, so the vertex is given by t = -b/2a. Plugging in the values, we get t = -96/(2 x (-16)) = 96/32 = 3 seconds.

Therefore, the object reaches its maximum height after 3 seconds.

Option B, 3 seconds, is the correct answer.

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The complete Question:

The function \(h(t) = -16t^2 + 96t + 6\) represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.

After how many seconds does the object reach its maximum height?

A. 2 seconds

B. 3 seconds

C. 6 seconds

D. 9 seconds

Answer:

B

Step-by-step explanation:

We will first look at the end behavior of the graph

Is it down then up which means that the degree is 3 and the coeficcent is positive

this leaves B or C

We then know that the x intercepts are (-2,0) (1,0) (3,0)

The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!

looking at the B we have

-2³-2*-2²-5(-2)+6

this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)

You can also factor it and find the zeroes that way, but it's just more work

Answer:

I think it will be 90

Step-by-step explanation:

Anthony have 30 votes and on the ratio it's 1. So 1 times 30 will get 30. so then if 3 x 30 it will be 90.

Answer:

0=17

Step-by-step explanation:

2X - 10=7 +2x

-10 = 7

7 is fasle

i believe the answer is 17

Answer:

A) 0.81; D. 0.79 ; E) 0.88

Step-by-step explanation:

This question is asking whether an event in more likely to occur than a different event. So we are looking for every event that is more likely occur, or in other words, greater than 0.78. The only 3 events that are greater than 0.78 are 0.81, 0.79, and 0.88.

Solution:

Consider the following trigonometric equation:

This is equivalent to:

now, consider the following trigonometric circle and the above equation:

According to this trigonometric circle and the definition of the cotangent function, we can conclude that the general solution would be:

Answer:

15 windflower bulbs

19 daffodil bulbs

Step-by-step explanation:

Given

Represent windflower with W and daffodil with D.

So:

Mary's sales is:

10W + 4D = 226 --- (1)

Darryl's sales is:

6W + 4D = 166 ---- (2)

Required

Solve for W and D

We'll make use of elimination method.

Start by subtracting (2) from (1)

10W - 6W + 4D - 4D = 226 - 166

4W = 60

Multiply both sides by ¼

¼ * 4W = 60 * ¼

W = 60 * ¼

W = 15

Substitute 15 for W in (1)

10W + 4D = 226

10 * 15 + 4D = 226

150 + 4D = 226

Collect like terms

4D = 226 - 150

4D = 76

Multiply both sides by ¼.

¼ * 4D = 76 * ¼.

D = 19

Answer: 44 cm

Step-by-step explanation:

area of circle = πr²

1520 cm² = πr²

r is approximately 22 cm (21.996159369...)

so D (diameter) would be 44

Answer:

20

Step-by-step explanation:

Long Division, cancel the zeroes, then 80/4 which is 20

Answer:

20

Step-by-step explanation:

8000/400= 20

Answer:

32.53 of a second to swim a lap

Answer:

Step-by-step explanation:

4ab • (((5a2 • b2) +  2ab) -  3)

2.1    Factoring    5a2b2 + 2ab - 3

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (5ab - 3)•(ab + 1)

4ab • (5ab - 3) • (ab + 1)

The location of point N is -20.

We  can see a number line with 3 points.

Here we know taht MN is 2/7 of MP, so first let's find the length of MP.

The length is equal to the difference between the two values, we can see that:

P = -5

M = -26

Then the length of MP is:

-5 - (-26) = 21

And MN is 2/7 of that, then:

(2/7)*21 = 2*3 =6

Then we can write:

N - M = 6

N - (-26) = 6

N = 6 - 26 = -20

The location of N is -20.

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Answer:

D

Step-by-step explanation:

EDGE 2021

Answer:

There are infinite solutions

Step-by-step explanation:

Both of these equations are the exact same. 6x+2y=-4 in y=mx+b form is y = -3x - 2. This means that since they are exactly the same, there are infinite solutions.

Answer:

D.  45/8

Step-by-step explanation:

The value of function g (7) is,

⇒ g(7) = 45/8

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

⇒ g(x) = 7/8x - 1/2

Now, Plug x = 7 in above equation,

⇒ g(x) = 7/8x - 1/2

⇒ g(7) = 7/8 (7) - 1/2

⇒ g(7) = 49/8 - 1/2

⇒ g(7) = 49/8 - 4/8

⇒ g(7) = 45/8

Thus, The value of function g (7) is,

⇒ g(7) = 45/8

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