Write an algebraic expression for each of the statements below.

Answer:

im gonna say it would be around 9 inches, because the actual answer, a decimal, isnt an option so the closest would be around 9 in.

All vertical lines intersected the curve at exactly 1 point.

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Explanation:

If there is a case when a single vertical line crosses 2 or more points on the  curve, then it will not be a function. In this situation, it is said that the curve fails the vertical line test.

Passing the vertical line test means that every vertical line passes through exactly one point on the curve. Each x input leads to exactly one output. If such a situation happens, then we have a function.

Since Kelly concluded that the curve is a function, this means the curve passed the vertical line test, and it points us to choice D as the answer.

Answer: 3

Step-by-step explanation:

1+3-1= 3

Answer: The correct answer is D.

Step-by-step explanation: The darker part in the graph is the area that contains the solutions. The only point out of the choices that is in the dark area is D.

Using the normal distribution, it is found that 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 15.1, \sigma = 2.2[/tex].

The proportion of penguins from the population have a weight between 13.0 kg and 16.5 kg is the p-value of Z when X = 16.5 subtracted by the p-value of Z when X = 13.

X = 16.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16.5 - 15.1}{2.2}[/tex]

Z = 0.64

Z = 0.64 has a p-value of 0.7389.

X = 13:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{13 - 15.1}{2.2}[/tex]

Z = -0.95

Z = -0.95 has a p-value of 0.1711.

0.7389 - 0.1711 = 0.5678.

0.5678 = 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.

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Answer: 1725

Step-by-step explanation: A= A+B/2 h= 50+65/2x30=1725

Answer:

x=4

Step-by-step explanation:

We know that in a parallelogram opposite sides are equal

Hence on equating we get,

[tex]6x - 20 = 4[/tex]

[tex]6x = 4 + 20[/tex]

[tex]6x = 24[/tex]

[tex]x = 4[/tex]

Answer:

for the first answer the second option is correct and 8 will go in the box and for the second question the second option is correct and 40 will go in the box.

The volume of the triangular prism is 1756.3 cubic yd option second is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We know that the volume of a triangular prism is given by:

[tex]\rm V = \dfrac{1}{2}\times b\times l\times h[/tex]

Where b is the base length, l is the base width, and h is the height of the prism.

[tex]\rm h=\sqrt{13^2-(\dfrac{13}{2}) ^2[/tex]

h = 11.2583 yd

b = 13 yd

l = 24 yd

[tex]\rm V = \dfrac{1}{2}\times 13\times 24\times 11.2583[/tex]

V = 1756.29 ≈ 1756.3 cubic yd

Thus, the volume of the triangular prism is 1756.3 cubic yd option second is correct.

Learn more about the volume here:

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Answer:

7/3

Step-by-step explanation:

12x - 15 = 6 - 3x

=> 12x + 3x =  6 + 15

=> 15x = 21

=> x = 21/15

=> x = 7/3

Answer:

-3 -2 -1 = -6 0 times 1 times 2 times 3 = 0 -12 -7 -4 = -23

Step-by-step explanation:

Answer:

Part A: 12.5 cm

Part B: 0.8 km

Step-by-step explanation:

Map scale problems can be solved with proportions.

Part A

5 cm / 2 km = x cm / 5 km

5/2 = x/5

2x = 25

x = 12.5

Answer: 12.5 cm

Part B

5 cm / 2 km = 2 cm / x km

5/2 = 2/x

5x = 4

x = 4/5

x = 0.8

Answer: 0.8 km

Answer:

33π m²

Step-by-step explanation:

Solving

Answer:

B=41

Step-by-step explanation:

Triangle = 180 degrees.

108+31=139

180-139=41\

B = 41 degrees

Answer:

Angle HEF

105*

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Let's first convert his speed to km/h.

[tex]\frac{105km}{1.5h} = 70\frac{km}{h}[/tex] > [tex]80\frac{km}{h}[/tex]. Therefore, Rob is traveling within the speed limit.

IF the base area of the pyramid will be 400 square feet. Then the volume of the given pyramid will be 3466.67 cubic feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The dimension of the pyramid is shown in the diagram.

Then the base area of the pyramid will be

Area = 20 x 20

Area = 400 square feet

Then the volume of the given pyramid will be

V = 1/3 x area x height

V = 1/3 x 400 x 26

V = 3466.67 cubic feet

More about the geometry link is given below.

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Answer:

[tex]27cm^{2}[/tex]

Step-by-step explanation:

Area of compound shapes = Area of shape A + Area of shape B

Area of this shape = (L x B) + (L x B)
                               = (5 x 3) + (6 x 2)
                               = 15 + 12
                               = [tex]27cm^{2}[/tex]

Answer:

A = 27 cm²

Step-by-step explanation:

the figure consists of 2 rectangles

the one on the right with dimensions 2 cm by 6 cm and

the one on the left with dimensions 5 cm by 3 cm

the total area (A) is then calculated as

A = (2 × 6) + (5 × 3) = 12 + 15 = 27 cm²

Answer:

a² = 16

Step-by-step explanation:

substitute a = 4 into the expression

a² = 4² = 4 × 4 = 16

Answer:

16

Step-by-step explanation:

Answer:

5/9.

Step-by-step explanation:

Theoretical probability = number of outcomes with1 or 2 blues

                                         -------------------------------------------------------

                                             number of all possible outcomes

= 5/9

Answer:

20

Step-by-step explanation:

2/3(30)

=20

Answer:

122.7 cm³

Step-by-step explanation:

    Square pyramid:

          a = 4 cm ; h = 4 cm

       [tex]\boxed{\text{Volume of square pyramid = $\dfrac{1}{3}$*base area * height}}[/tex]

                                                   [tex]\sf = \dfrac{1}{3}*a^{2}*h\\\\ =\dfrac{1}{3}*4*4*4\\\\ = 21.3 \ cm^3[/tex]

Rectangular prism:

        l = 6 cm ; w = 6 cm  ; h = 4 cm

        [tex]\boxed{\text{Volume of rectangular prism = l*w*h}}[/tex]

                                                       = 6 * 6 * 4

                                                       = 144 cm³

                       = 144 - 21.3

                       = 122.7 cm³

Answer:rectangle

Step-by-step explanation:

Step-by-step explanation:

Hope you'll understand

Answer:

the answer is the numbers in the expressions inside the bracket should be added not subtracted

Step-by-step explanation:

hope it helps

Answer:

75.36

hope this helps :)

Answer:

36 38 40 42

and

38 40 42 44.

Step-by-step explanation:

160 / 4 = 40  so the numbers are close to 40.

38 + 40 + 42 + 44 = 164

36 + 38 + 40 + 42 = 156.

Answer:

8 hours

Step-by-step explanation:

24 X 8     X 1FOOT DROP =  192 FT ^3

Assuming   .40 ft^3 per MINUTE

192/.4 = 480 minutes   = 8 hours