Help me please I really need it

The value of width 'w' of rectangular prism with l = n/a, h = n/a, v = n/a is given by, w = a/n.

We know that the volume of rectangular prism with length L and width W and Height H is given by,

V = L*W*H

Given that the Height of the rectangular prism, h = n/a

Length of the rectangular prism, l = n/a

Volume of the rectangular prism, v = n/a

let the width of the rectangular prism be 'w'.

So from the volume formula we get,

v = lwh

n/a = (n/a)*w*(n/a)

n/a = (n/a)²*w

w = (n/a)/(n/a)² = (n/a)*(a/n)² = a/n

Hence the value of w is a/n.

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Answer:

The cost of parking in the garage for 75 minutes is 4.875.

Step-by-step explanation:

The costs of parking h hours is given by the following function:

\(f(h) = 4.5 + 1.5(h-1)\)

Cost of parking 75 minutes.

1 hour is 60 minutes. How many hours are 75 minutes?

1h - 60 min

xh - 75 min

\(60x = 75\)

\(x = \frac{75}{60}\)

\(x = 1.25\)

75 minutes is 1.25 hours. So we have to find f(1.25).

\(f(1.25) = 4.5 + 1.5*(1.25-1) = 4.875\)

The cost of parking in the garage for 75 minutes is 4.875.

Answer: (d) 270

Step-by-step explanation:

10 out of 18 people have a motorcycle(which simplifies to 5/9 people) therefore

486 x 5/9 = 270 people have a motorcycle.

Answer:

270

Step-by-step explanation:

All you have to do is divide 486 by 18 and thats when you get 27 and then multiple 10 by 27.

Answer:

x>−1

Step-by-step explanation:

−2.8x+5.6<8.4

Subtract 5.6 from both sides.

−2.8x<8.4−5.6

Subtract 5.6 from 8.4 to get 2.8.

−2.8x<2.8

Divide both sides by −2.8. Since −2.8 is negative, the inequality direction is changed.

x>  −2.8 / −2.8

​Divide 2.8 by −2.8 to get −1.

x>−1

Answer: X is less than -1

Step-by-step explanation:

The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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Step-by-step explanation:

x -y = 92     x = 92+y

xy = minumum

(92+y)  * y  = minumum

y^2 + 92y  = minumum      this quadratic has a minimum at

                                               y = -b/2a =  - 92/(2*1) = - 46

x -  -46 = 92   shows x = +46         minimum is then - 2116  

Answer:

Area of the composite figure = 75.25 cm²

Step-by-step explanation:

Question (4). Given figure is a composite figure having,

(1). Right triangle STU

(2). A kite PSUV

(3). A trapezoid PQRS

Now we will calculate the area of each figure.

(1). Area of the right triangle = \(\frac{1}{2}(\text{ST})(\text{TU})\)

                                              = \(\frac{1}{2}(3.5)(3)\)

                                              = 5.25 cm²

(2). Area of the kite PSUV = \(\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})\)

                                           = \(\frac{1}{2}(\text{PU})(\text{SV})\)

                                           = \(\frac{1}{2}(\text{TS+RQ})(\text{SV})\)

                                           = \(\frac{1}{2}(3.5+7)(6)\) [Since SV = 2 × 3 = 6 cm]

                                           = \(3\times 10.5\)

                                           = 31.5 cm²

(3). Area of the trapezium = \(\frac{1}{2}(b_1+b_2)(h)\) [Where \(b_1\) and \(b_2\) are the bases and h is the distance between the bases]

                                           = \(\frac{1}{2}[(7-3)+7](7)\)

                                           = \(\frac{77}{2}\)

                                           = 38.5 cm²

Total area of the given figure = 5.25 + 31.5 + 38.5

                                                 = 75.25 cm²

numbers:

2, 4, and 5

I am so sorry if i'm wrong!!! :|

To get the value of N let's do the division.

The value of N is 450

Answer:

f(-2) = 4

Step-by-step explanation:

Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.

Answer:

4^3 Expantion: (4)(4)(4) evaluated: 64

-2^4 Expantion: -(2)(2)(2)(2) evaluated: -16

(-3)^3 Expantion: (-3)(-3)(-3) Evaluated: -27

(-7)^3 Expantion: (-7)(-7)(-7) Evaluated: -343

Suppose that a die is made by marking the faces of a regular dodecahedron with the numbers 1 through 12. We are to determine the probability that on exactly three of six tosses, a number less than 4 turns up.

We note that the sum of the numbers on the faces of the die is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78. Thus the expected value of the face is E(X) = (1 + 2 + 3 + ... + 12)/12 = 78/12 = 6.5.

To compute the probability that on exactly three of six tosses, a number less than 4 turns up, we use the binomial distribution with n = 6 and p = 3/12 = 1/4. The probability that on exactly three of six tosses, a number less than 4 turns up is P(X = 3) = (6 choose 3)(1/4)^3(3/4)^3= 20(1/64)(27/64)= 27/160 or 0.169.

So, the required probability that on exactly three of six tosses, a number less than 4 turns up is 27/160 or 0.169.

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Answer:

The answer is c

Step-by-step explanation:

Answer:

2 sq rt 33

Step-by-step explanation:

1st step:  subtract one, each side

(radical 2/3)r = 22

2nd step:  set up a proportion

(radical 2/3)r = 22

3rd step:  cross-multiply

radical 2*r = 66

4th step:  solve for 'r'

r = 66 / radical 2

5th step:  rationalize the denominator

multiply numerator and denominator by radical 2

6th step:  simplify

(66\(\sqrt{2}\)) / 2 = 33 \(\sqrt{2}\)

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is 14.33 square units.

To find the area under the parabola, we need to integrate the equation y = 5x - x^2 with respect to x over the given interval [1, 4]. The integral represents the area between the curve and the x-axis.

Integrating y = 5x - x^2 gives us the antiderivative F(x) = (5/2)x^2 - (1/3)x^3 + C, where C is the constant of integration. To find the definite integral over the interval [1, 4], we evaluate F(4) - F(1).

F(4) = (5/2)(4)^2 - (1/3)(4)^3 + C = 40 - (64/3) + C

F(1) = (5/2)(1)^2 - (1/3)(1)^3 + C = 5 - (1/3) + C

Substituting these values into the definite integral expression, we have:

Area = F(4) - F(1) = (40 - (64/3) + C) - (5 - (1/3) + C)

= 14.33

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is approximately 14.33 square units.

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Answer:

T is dependent B is independent

Step-by-step explanation:

Total cost is changed by how many pencils you buy

The price of each box of pencils does not change

The diagram where angles 1 and 2 form a linear pair is option D which is that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

Given that angle 1 and 2 form a linear pair.

We know that a linear pair is an angle that are formed when two lines intersect each other at a single point.

In our case when a horizontal line has 1 line extending from it and when angles 1 and 2 are formed shows a linear pair.

In first part when two lines intersect they donot form 4 angles.

In second part when 3 lines extend from a point they don't form right angle between the lines.

Hence the linear pair angles are shown by the statement that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

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The height of the the building is 95.5 feet.

As per the given data:

A building casts a 103-foot shadow.

At the same time, a 32-foot flagpole casts a 34.5-foot shadow.

Diagrams of both the building and flagpole are attached at the end of the solution.

Here we have to determine the height of the building.

From the above figure, in Δ ABC, AB shows the height of the building and BC shows its shadow length. In ΔDEF, DE shows the height of the flagpole and EF shows its shadow length.

In ΔABC

\($ \tan \theta=\frac{A B}{B C} \\\)

\($& \tan \theta=\frac{A B}{103}\)

In ΔDEF

\($& \tan \theta=\frac{D E}{E F} \\\)

\($\tan \theta=\frac{32}{34.5}\)

At the same time, the angle of elevation of the sun is the same at all the places.

Therefore

\($& \tan \theta=\tan \theta \\\)

\($& \frac{A B}{103}=\frac{32}{34.5} \\\)

\($& AB = \frac{32 \times 103}{34.5} \\\)

A B = 95.5 foot

Therefore, the height of the building will be 95.5 feet.

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Answer:

Besides the givens:

12.

AC = EC, BC = DC; Definition of Midpoint

<ACB = <ECD; Vertical Angles Theorem

Triangle ABC = Triangle EDC; SAS Congruence Postulate

13.

AD = CD; Definition of Median

BD = BD; Reflexive Property

Triangle ABD = Triangle CBD; SSS Postulate

Step-by-step explanation:

None necessary.

After the x-shearing transformation, the resulting coordinates of the rectangle/square are: (0,0), (0,2), (2,0), and (2,6). This transformation effectively shears the shape by shifting the y-coordinate of the top-right corner, resulting in a distorted rectangle/square.

To apply x-shearing with a shearing parameter of 2 units to a rectangle/square defined by the coordinates (0,0), (0,2), (2,0), and (2,2), we can transform the coordinates as follows: (0,0) remains unchanged, (0,2) becomes (0,2), (2,0) becomes (2,0), and (2,2) becomes (2,6). This transformation effectively shifts the y-coordinate of the top-right corner of the rectangle by 4 units while leaving the other coordinates unchanged, resulting in a sheared shape.

X-shearing is a transformation that shifts the y-coordinate of each point in an object while leaving the x-coordinate unchanged. In this case, we are given a rectangle/square with coordinates (0,0), (0,2), (2,0), and (2,2). To apply x-shearing with a shearing parameter of 2 units, we only need to modify the y-coordinate of the top-right corner.

The original coordinates of the rectangle/square are as follows: the bottom-left corner is (0,0), the top-left corner is (0,2), the bottom-right corner is (2,0), and the top-right corner is (2,2).

To perform the x-shearing, we only need to modify the y-coordinate of the top-right corner. The shearing parameter is 2 units, so we shift the y-coordinate of the top-right corner by 2 * 2 = 4 units. Therefore, the new coordinates of the rectangle/square become: (0,0) remains unchanged, (0,2) remains unchanged, (2,0) remains unchanged, and (2,2) becomes (2,2 + 4 = 6).

After the x-shearing transformation, the resulting coordinates of the rectangle/square are: (0,0), (0,2), (2,0), and (2,6). This transformation effectively shears the shape by shifting the y-coordinate of the top-right corner, resulting in a distorted rectangle/square.

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Equation of line in point slope form

\(\\ \sf\longmapsto y-y1=m(x-x1)\)

\(\\ \sf\longmapsto y+5=3(x+3)\)

\(\\ \sf\longmapsto y+5=3x+9\)

\(\\ \sf\longmapsto y=3x+4\)

Answer:

Step-by-step explanation:

Given equation: f(x)=x^2+x-6

The roots of the equation, set the equation equal to zero.

\(x^2+x-6=0\\x^2+3x-2x-6=0\\x(x+3)-2(x+3)=0\\ (x+3)(x-2)=0\\ x=-3,2\)

Therefore, the roots of the equation are x=-3 and x=2

In the scenario, C. The negative coordinate would not have an impact on the distance since the distance is always positive - absolute value, so you would add 4 + 3 to get the distance.

Integer numbers can be positive or negative, and the addition is determined by the signal, as seen below:

We preserve the signal and add the values if they both have the same signal.

If they have different signals, we add the signal of the word with the higher absolute value.

The distance between two points is calculated by subtracting their absolute values. For this problem, we need to calculate the distance between points -4 and 3, so:

3 - (-4) = 3 + 4 = 7.

Therefore, the correct option is C.

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Answer:

The answer is 10 quarters and 15 nickels

Step-by-step explanation:

Lets say x equals the number of quarters and y quals the number of nickels. Since there is a total of 25 coins that means that x+y=25. But, the quarter costs 0.25, and the nickel costs 0.05. That means that we have to multiply the number of each coin with their cost. Which leads us to: (x*0.25)+(y*0.05)=3.25. By solving these two equations you'll see that x=10 and y=15.

Answer:

i don't think 3 works for x because the only solution for x was 8

Step-by-step explanation:

Answer:

babylonia and lseral i thik so

The probability that the sum of the two cubes will be a prime number is 0.33.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Henry has 2 six-sided number cubes, one red, and one blue.

The faces of the red cube are numbered 1-6.

The faces of the blue cube are numbered 7-12.

Henry tosses both number cubes.

Sample space for the experiment = {(1, 7), (1, 8), .........., (1, 12), (2, 7), (2, 8), ......., (2, 12), .........., (6, 7), ...........,(6, 12)}

Total number of outcomes = 36

Least sum is 1 + 7 = 8 and greatest sum is 6 + 12 = 18

Prime numbers in between 8 and 18 are 11, 13 and 17.

Sum will be prime numbers for the outcomes,

{(1, 10), (1, 12), (2, 9), (2, 11), (3, 8), (3, 10), (4, 7), (4, 9), (5, 8), (5, 12), (6, 7), (6, 11).

Number of outcomes which sum are prime numbers = 12

Probability = 12/36 = 1/3 = 0.333

Hence the probability is 0.33.

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