(05.04 MO An image of a rectangular pyramid is shown below: Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points)​

Answer:

A

Step-by-step explanation:

From the information given:

To create the required stochastic matrix, we need to take parents who are shown to be vegetarian or nonvegetarian in the column and the children who are vegetarian or nonvegetarian into the row section.

So;

Vegetarian V → 70% →            nonvegetarian NV → 30%

nonvegetarian NV → 40%             vegetarian    V →  60%

                                                           V     NV

The 2x2 stochastic matrix  =     [tex]\left \Big { {{V} \atop {NV}} \right.} \left [\begin{array} {cc}0.7&0.4\\0.3&0.6\\\end{array}\right][/tex]

C-$6.00 monthly fee and $1.25 per video game

Answer:

13

Step-by-step explanation:

200% = 2

2x =26

x = 13

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Answer:

n=60

Step-by-step explanation:

subtract 75 from 135

Final Answer: [tex]n =60[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]n + 75 = 135[/tex].

Step 1: Subtract [tex]75[/tex] from both sides.

[tex]n = 135 - 75[/tex]

Step 2: Simplify [tex]135 - 75[/tex] to [tex]60[/tex].

[tex]n = 60[/tex]

~I hope I helped you :)~

Answer:

1 : 45

Step-by-step explanation:

225 divided by 5 equals 45. You can now use this ratio to determine the number of people with different amounts of buses; when you change x from 1 to n, you would need to multiply 45 by n, and you will have your new ratio column in the table.

Hope this helps :)

The equation which models the relationship expressed in slope intercept form ls y = 45x

Expressing the equation in the form :

Slope, b = (900 - 225) / (20 - 5) = 45

Using any (x, y) points on the table given to find the value of c :

225 = 45(5) + c

225 = 225 + c

c = 0

Hence, the equation which models the relationship is y = 45x

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Answer:

8x 6 y

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

So the expression here is simply 8³.

And you have to write is out like this:

8×8×8

Solve the equation from left to right:

8×8=64

Continue:

64×8=512

Therefore, 8³ equals 512.

[tex] \begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}[/tex]

The vertex of Parabola is the maximum/minimum point depending on the value of a.

h-value

[tex]h = - \frac{5}{2(1)} \\ h = - \frac{5}{2} [/tex]

k-value

[tex]k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4} [/tex]

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

This is Calculus method. We simply differentiate the function then substitute y' = 0.

[tex]f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5[/tex]

Substitute f'(x) = 0

[tex]0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x[/tex]

Substitute x = -5/2 in the original equation.

[tex]f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4} [/tex]

[tex] \sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }[/tex]

Answer:

P=17+3 P=20

Step-by-step explanation:

17+3=20

20 pounds

Hi! Your answer to this problem would be 624.

Step by Step Explanation: Subtract 422 with 76, add 135, subtract 45, add 110, and lastly add 58.

Subtract 422 with 76, 422-76=366.

Add 366 with 135, answer will be 501.

Subtract 501 with 45 since she paid $45. 501-45=456.

Add 456 with 110 and that would be 566.

For the last step add 58 to find the answer and you would get 624.

Final Result: 624.

Answer:

(0,1) (-1,1)

Step-by-step explanation:

Answer: $350.00

Step-by-step explanation:

Answer:

$350

Step-by-step explanation:

if the sale is 30% we have to find what is 30% of 500 so we can subtracted from what we pay .

line up what you know:

$500 represents  100%

    $x represents  30 %

cross multiply

x*100 = 500* 30 ; divide both sides by 100

x= 500*30 /100 = 150

the sale price is 500-150= $350

Answer:10.5

Step-by-step explanation:You just add 1.75 6 times.

Answer: 9. Hope this helps!

Step-by-step explanation: The biggest common factor number is the GCF number. So the greatest common factor 36 and 63 is 9.

Answer:

6x^2 + 6x + 6x + 6

Step-by-step explanation:

You're cross multiplying the numbers on the left with the numbers on the right. Here is the order you multiply them in to eliminate the brackets, aka simplify the equation.

Step 1: (this ....) x ( this ....)

Step 2: (this ....) x (.... this)

Step 3: (.... this) x (this ....)

Step 4: (.... this) x (.... this)

REMEMBER!! When you multiply numbers with x's in them, make sure that you're multiplying the X's together too. For example, 2x times 3x is 6x^2 NOT 6x. Why? x times x is x^2 (aka x squared)

To round 18 to the nearest 10, we look at the 8 and see if it's greater than, less to or equal to 5.

In the number, 18, 8 is greater than 5.

8 > 5

So we round up.

Therefore, your answer is 20.

Answer:

y = -3

Step-by-step explanation:

you take y

y = -3 badaboom

Answer:

It should be 2

Step-by-step explanation:

If you where to round to the nearest 10nth

Answer:

5x + 16

Step-by-step explanation:

combine like terms (x) 12 + -7 = 5

so 5x + 16

leave the 16 because there is not like term to combine it with and you don't have a y to finish solving the equation

final answer: 5x + 16

hope this helps

Answer: 5x + 16

Step-by-step explanation:

Answer:

6, 4.854, 7.054, I think

Step-by-step explanation:

I used trig functions to solve for them

1st I found the central angle and divided it by 10 to create myself a right triangle in the middle with an altitude.

I then found the 3rd angle using the triangle angle sum theorem and then used trigometic functions to solve for X

(6)Cos(36)= Apothem

(6)Sin(36)= Sidelength/2

Answer:

Wait...

Step-by-step explanation:

Answer:

1212928316

Step-by-step explanation:

Answer: 1.4688 x 10^6

Step-by-step explanation: Number has to be in between 1 and 10. Moved the decimal 6 places so that is your exponent

Answer: 3:1

Step-by-step explanation:

I start with putting it as 36:12 than reduce. Both sides are divisible by 12 so you end up with 3:1

Answer:

j=-10

Step-by-step explanation:

9j-10=8+2

-j=10

Answer:

j = -10

Step-by-step explanation:

Get j by itself by subtracting 9j from both sides and subtracting 8 from both sides. You are left with -10 = 1j