The perimeter of a rectangle with length l and width w is 44 inches. The area of the rectangle is at most 120.
Which of the following statements is true?
A. If w 12 inches, then l 10 inches
B. If w 12 inches, then l 10 inches
C. If w 12 inches, then l 10 inches
D. If w 12 inches, then l 10 inches

Step-by-step explanation:

similar shapes means that they have the same angles, and there is one scale factor that applies to all sides and other lines in the shapes (like heights).

therefore the ratios between 2 correlated lines are all the same.

so,

2/7 = 5/height

2×height / 7 = 5

2×height = 7×5 = 35

height = 35/2 = 17.5 in

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=5.9 \end{cases}\implies V=\cfrac{4\pi (5.9)^3}{3}\implies V\approx 860.3~in^3[/tex]

Answer:

I think maybe u=6.71 but I'm not sure. wait for another answer

Answer:

7x-4 = -28

4y+8 = 4(y + 2)

Step-by-step explanation:

Answer:

x ≤ 0

Step-by-step explanation:

The number line's direction is left, any number that is left on a number line behind zero has a less value. Greater than or equal!

Answer:

Depending on the unit your answer needs to be in, it would be 88 cubic feet or 3.25926 cubic yards

If your question asks you to round to the nearest hundredth it would be 3.26 cubic yards.

Step-by-step explanation:

To find the volume of soil:

Volume= Length x Width x Depth/Height

Volume= 44ft x 2ft x 1ft

Volume= 88 cubic feet or 3.25926  (there are 27 cubic feet in a cubic yard, 88/27=3.25926)

hope this helps! :)

Answer:

a = -3

b = 9

c = -3

Step-by-step explanation:

[tex]a. (2^{5} )(2)^{-8} =2^{a} \\2^{(5-8)} =2^{a} \\2^{-3}=2^{a}[/tex]

[tex]a=-3[/tex]

[tex]b.\frac{4^{7} }{4^{-2} } =4^{b} \\4^{(7-(-2))} } =4^{b} \\4^{(7+2)} =4^{b}[/tex]

[tex]4^{9} =4^{b}[/tex]

[tex]b=9[/tex]

[tex]c. \frac{7^{9} }{7^{c} } =7^{12}[/tex]

[tex]7^{9-c} =7^{12}[/tex]

[tex]9-c=12[/tex]

[tex]c=9-12[/tex]

[tex]c=-3[/tex]

Hope this helps

The region that contains the most dispersed data is between the upper quartile and the median.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of whiskers which measure the minimum and maximum numbers.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.  

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Answer: (6,3)

Step-by-step explanation:

Since C is 2 units from the line of reflection, and it lies on the left of the line of reflection, C' will lie 2 units to the right of the line of reflection.

Therefore, C'=(6,3).

Answer:

a) There is a 59.87% probability that none of the LED light bulbs are defective.

b) There is a 31.51% probability that exactly one of the light bulbs is defective.

c) There is a 98.84% probability that two or fewer of the LED light bulbs are defective.

d) There is a 100% probability that three or more of the LED light bulbs are not defective.Step-by-step

explanation:

For each light bulb, there are only two possible outcomes. Either it fails, or it does not. This means that we use the binomial probability distribution to solve this problem.

Answer:

56

Step-by-step explanation:

Answer:

to find for one divide 9 dollars 60 pounds by 3 to get the coast of one candy

The volume of the larger cylinder will be 36π cm³. Then the correct option is A.

The complete question is attached below.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

The ratio of the volume to surface area will be

V / SA = πr²h / 2πrh

Then we have

Two similar cylinders have surface areas of 24 cm² and 54 cm².

The volume of the smaller cylinder is 16π cm³.

Then the volume of the larger cylinder will be

Let x be the volume of the larger cylinder.

Then we have

x / 54 = 16π / 24

      x = 36π cm³

Then the correct option is A.

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Answer:

[tex] { - 7y}^{2} + 20y + 32[/tex]

Step-by-step explanation:

1.) -7y times y = -7y(squared)

2.) -7y times -4 = 28y

3.) -8 times y = -8y

4.) -8 times -4 = 32

5.) Combine like terms

[tex] { - 7y}^{2} + 28y - 8y + 32 = { - 7y}^{2} + 20y + 32[/tex]

Answer:

1/8 is marked on a ruler

Step-by-step explanation:

The equation of the line that is perpendicular to the line and passes through the point (15,-5) is y = -x + 10

The complete question is

What is the y-intercept of the equation of the line that is perpendicular to the line y = x + 10 and passes through the point (15, –5)?

A perpendicular means a line which intersects the other line at 90 degree.

Line given y = x+10

slope = 1

Slope of the line perpendicular to the above line = -1

and it passes through the point  (15, –5)

The equation will become

y = mx +c

-5 = -1 * 15 + c

15-5 = c

c = 10

Therefore the equation is y = -x +10

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Answer: d

Step-by-step explanation:

Determinants are defined only for square matrices, so I assume you are given the 3×3 matrix

[tex]A = \begin{bmatrix}-2 & -4 & -3 \\ -1 & -9 & -8 \\ -15 & -5 & 6 \end{bmatrix}[/tex]

Let's compute the determinant by taking the cofactor expansion along the first column:

[tex]\det A = -2 \det\begin{bmatrix}-9 & -8 \\ -5 & 6\end{bmatrix} + \det\begin{bmatrix}-4 & -3 \\ -5 & 6\end{bmatrix} - 15 \det \begin{bmatrix}-4 & -3 \\ -9 & -8\end{bmatrix}[/tex]

[tex]\det A = -2 ((-9)\times6-(-8)\times(-5)) + ((-4)\times6 - (-3)\times(-5)) \\ ~~~~~~~~~~~~~~~- 15 ((-4)\times(-8)-(-3)\times(-9))[/tex]

[tex]\det A = -2(-54-40) + (-24 - 15) - 15 (32 - 27)[/tex]

[tex]\det A = \boxed{74}[/tex]

The graph that represents function h is the graph in; Option C

The parent function is; f(x) = tan (x)

The transformed function is; h(x) = -tan(¹/₂x)

Now, from general tangent function we know that; y = tan(Bx)

Thus, period = π/(¹/₂)

From the given transformation that produced the h(x) function and when we look at the given graphs, the one that represents the function h is Option C.

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the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, so let's use the ones provided in that

[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{years}{x}&\stackrel{population}{y}\\ \cline{1-2} 1990&1027974\\ 2013&688701\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{1990}~,~\stackrel{y_1}{1027974})\qquad (\stackrel{x_2}{2013}~,~\stackrel{y_2}{688701}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{688701}-\stackrel{y1}{1027974}}}{\underset{run} {\underset{x_2}{2013}-\underset{x_1}{1990}}} \implies \cfrac{-339273}{23}\implies -14751\qquad \stackrel{rate~of}{change}[/tex]

let's notice, is negative since the population decreased.

Answer:

0.341

Step-by-step explanation:

Multiply the probabilities: 0.55 * 0.62 = 0.341

Step-by-step explanation:

Scale factor red to blue meaning 42 to 7

42÷7=6

Scale factor is 6

Perimeter of the blue quadrilateral = ?

If perimeter of red = 204

Then we use this following proportion

[tex]204 \div 42 = x \div 7[/tex]

[tex] \frac{204}{42} = \frac{x}{7} [/tex]

Then we cross multiply

42x=7×204

42x=1428

x=34

Area of the blue quadrilateral = ?

If area of the red quadrilateral = 2880

Then we use the following proportion

[tex]2880 \div 42 = x \div 7[/tex]

[tex] \frac{2880}{42} = \frac{x}{7} [/tex]

Then we cross multiply

42x=2880×7

42x=20160

x=480

Answer:

A

Step-by-step explanation:

the domain is the definition of the valid x (input) values.

the range is the definition of the valid y (result) values.

as the function is defined by listing the specific points, the function only consists of individual points and not of connecting lines.

therefore the domain and range cannot be continuous intervals (otherwise the function would suddenly also include points not in the original list).

so, B and D are wrong.

and A is right, because the domain contains the x values, and the range the y values.

Answer:

B.

Step-by-step explanation:

The statement that cannot be true is "length RW is a mid segment of the triangle". option D.

The mid segment of a triangle is a line segment that connects the midpoints of two sides of a triangle. More specifically, if a triangle has sides of lengths a, b, and c, then the mid segment connects the midpoints of the two sides of length a and is parallel to the side of length c. The length of the mid segment is half the length of the third side (c/2).

here, we have,

In other words, if a triangle has sides AB, BC, and AC, then the mid segment connects the midpoint of AB (denoted as M) to the midpoint of BC (denoted as N) and is parallel to AC.

The length of the mid segment MN is equal to half the length of AC

(MN = 1/2 * AC).

we have,

For the given diagram, the midpoint is S, so the length RW cannot be the length of the mid segment.

Hence, The statement that cannot be true is "length RW is a mid segment of the triangle". option D.

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Answer:

a. 1/20, 1 out of twenty, or 5%

b. three out of ten, 3/10, 30%

c. 3/20 = 3/20 yes.

Step-by-step explanation:

a. It is a fraction. out of the 20 divisions there is only one 20. so there is 1 out of twenty which as a fraction is 1/20. this is equal to 1 divided by 20 wich eqauls 0.05. You move the decimal to the right twice to get 5%.

b. 6 out of twenty, 6/20. They are both even so it can be simplified.

6  ÷ 2 = 3

20 ÷  2 = 10

It becomes 3/10, 0.3 or 30%

c. I decided that 3, 17, 2, 15, 10, and 9 are the lower right region.

the odds are 6/20 wich we know is 3/10

I only see 20 hits, but out of the 20, 6 are in the lower right region.

the odds from this is 6/20 which we know is 3/10.

We can see that the odds are equal.

Answer:

[tex]p = 3\\\\q= 1[/tex]

Step-by-step explanation:

[tex]x^2 -6x +10\\\\=x^2 -2 \cdot 3x +3^2 -3^2 +10\\\\=(x-3)^2 -9+10\\\\=(x-3)^2 +1\\\\\text{By comparing with}~ (x-p)^2 +q, \\\\p = 3\\\\q = 1[/tex]

Answer:

The mode is 9 letters: True

The median is 7.5 letters: True

The mean is 7 letters: False

The graph is skewed right with an outlier of 2: False

Step-by-step explanation:

1) The mode is 9 letters. (True)

The mode is the value that shows up the most. 9 letters shows up the most as the length of a child's last name.

2) The median is 7.5 letters. (True)

The median is one of the middle points of a data set. This can be found by writing out all of the results from least to greatest, and crossing out each number starting from the ends.

2, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9

Once you meet in the middle, you should be left with 7 and 8. In this case, we find the mean of the two numbers, which is 7.5. (In cases where the data set has an odd amount - if there were 13 children instead of 12), you'd just use the middle piece of data.

3) The mean is 7 letters. (False)

The mean is also a middle point of a data set. However, this one is different. The mean can be found by adding up all of the numbers in the data set ([tex]2+6+6+7+7+7+8+8+9+9+9+9[/tex]) and then dividing that number by the amount of numbers are in the data set. Setting this up as an expression would look like: [tex]\frac{2+6+6+7+7+7+8+8+9+9+9+9}{12}[/tex]. By plugging this into a calculator you'd get 7.25 instead of just 7.

4) The graph is skewed right with an outlier of 2.

Although the outlier of 2 part of the statement is correct, the graph is not skewed right; it is skewed left.

Answer:

A,D,F

Step-by-step explanation: Because it not a fraction or decimal in it its an whole number