Davis and Benji order pizza multiple times a month and always split the cost evenly between them. The cost of a pizza is $13. At the end of the month, each friend had spent $26 on pizza. Which equation shows the number of pizzas ordered, p, by the two friends?

Answer:  Choice C

[tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]

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Explanation:

Let's look at the function y = sec(x) first, which is the secant function.

Recall that secant is 1 over cosine, so sec(x) = 1/cos(x)

We can't divide by zero, so cos(x) = 0 can't be allowed. If x = pi/2, then cos(pi/2) = 0 will happen. So we must exclude pi/2 from the domain of sec(x).

If we look at the interval from 0 to pi, then the domain of sec(x) is [tex]0 \le x < \frac{\pi}{2} \ \ \text{ and } \ \ \frac{\pi}{2} < x \le \pi[/tex]

we can condense that into the interval notation [tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]

Note the use of curved parenthesis to exclude the endpoint; while the square bracket includes the endpoint.

So effectively we just poked at hole at x = pi/2 to kick that out of the domain. I'm only focusing on the interval from 0 to pi so that secant is one to one on this interval. That way we can apply the inverse. When we apply the inverse, the domain and range swap places. So the range of arcsecant, or [tex]\sec^{-1}(x)[/tex] is going to also be [tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of [tex]\frac{1}{2}[/tex] to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = [tex]\frac{1}{2}[/tex] of the sides of ΔABC

Area of ΔA'B'C' = [tex]\frac{1}{2}(\text{Area of triangle ABC})[/tex]

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

Answer: The Third option and the sixth option.

Step-by-step explanation: I have had this question on a test before and i got the answer correct. i hope this helped.

Answer:

Hi Answer Is 5(5u^2+4v^2+v)

Answer:

The two sides we know are O pposite (300) and A djacent (400).

SOHCAH TOA tells us we must use T angent.

Calculate Opposite/Adjacent = 300/400 = 0.75

Find the angle from your calculator using tan-1

:)

Answer:

1 = 88 2 = 42 3 = 113

Step-by-step explanation:

2 is 42 because it is the opposite angle and then you subtract 42 and 50 from 180 to get 88 for #1 and you subtract 42 and 25 from 180 to get 113 for #3.

Answer:

CPB

Step-by-step explanation:

acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees

Answer: The answer is CPB

Answer:

1200

1. X represents the number of buttons Markie has: 200 times 5 = x

2. 200 X 5 = 1000, so Markie has 1000 buttons

3. Add Markies Buttons and Johns buttons: 200 + 1000 = 1200

4. Sentence: John and Markie have 1200 buttons all together.

Answer:

Step-by-step explanation:

(-4, 2) (3, -4)

(-4 - 2)/(3 + 4) = -6/7

y - 2 = -6/7(x + 4)

y - 14/7 = -6/7x - 24/7

y = -6/7x - 10/7

Answer:

Edmentum.

Step-by-step explanation:

God bless and enjoy. :)

Answer:

The volume is 227.5

Step-by-step explanation:

The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5

Answer:

Step-by-step explanation:

The middle of 9 and 8

Answer:

10, 12, 14

Step-by-step explanation:

even numbers, just add 2 to previous answer

10, 12, 14............

Answer:

i think the answer is a number or multiple number and maybe a decimal.

Step-by-step explanation:

go to Tiger Algebra Solver

Answer:

Joe=32  Lou=40

Step-by-step explanation:

72-8=64

64/2=32

32+8=40

Joe=32

Lou=40

Hope this helped:)

Answer:

I needed help with this answer well, because im on it right now.

Step-by-step explanation:

I'm in algebra and I don't understand how to solve this equation or problem :(

Answer:

69

Step-by-step explanation:

Answer: b

Step-by-step explanation:

You can determine which is a function by looking at the x values. If an x value repeats, it is not a function. In A, the x variable 2 repeats so it is not a function. In C, the x variable 5 repeats. In D, the x variable -5 repeats. The only answer choice where none of the x values are the same is B, so the answer is B. Hope this helps!

Answer:

C

Step-by-step explanation:

1/3 is .3 repeating

and you need to move decimal over twice for a percentage so should be 15%

Answer:

[tex]Mean = 2392.5[/tex]

[tex]SD = 44.70[/tex]

Step-by-step explanation:

Given

[tex]Students = 14500[/tex]

[tex]p = 16.5\%[/tex]

Solving (a): The mean

Mean is calculated as thus:

[tex]Mean = np[/tex]

[tex]Mean = 16.5\% * 14500[/tex]

Convert % to decimal

[tex]Mean = 0.165 * 14500[/tex]

[tex]Mean = 2392.5[/tex]

Solving (b): The Standard Deviation

Standard deviation (SD) is calculated as thus:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]

Convert % to decimal

[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]

[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]

[tex]SD = \sqrt{1997.7375}[/tex]

[tex]SD = 44.6960568731[/tex]

[tex]SD = 44.70[/tex]

Answer:

the answer is 8

Step-by-step explanation:

3*8=24 so,

-3*8= -24

Answer:

4 cups every 3 second which means so 80 cuos in one minute

Step-by-step explanation:

hope this helps

The constant of proportionality for the relationship of cups of water to minutes is 80

Represent cups with c and time with t.

So, the given parameter can be represented using the following ratio

c : t = 8 : 6

Multiply by 10

c : t = 80 : 60

60 seconds = 1 minutes.

So, we have:

c : t = 80 : 1

Express as fractions

[tex]\mathbf{\frac ct = \frac{80}1}[/tex]

Multiply both sides by t

[tex]\mathbf{\frac ct = 80}[/tex]

Multiply both sides by 6

[tex]\mathbf{c = 80t}[/tex]

A proportional equation is represented as:

[tex]\mathbf{c= mt}[/tex]

Where m represents the constant of proportionality

By comparison:

[tex]\mathbf{m = 80}[/tex]

Hence, the constant of proportionality is 80

Read more about the constant of proportionality at:

https://brainly.com/question/18707816

Answer: Therefore the scale factor is 48 times.

Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4

the scale is 1 inch to 4 FEET.

Convert feet to inches

1 inch to 48 inches

So the ratio is 1:48

Answer:

3 to 7 or 3:7 or 3/7

Step-by-step explanation:

So, there are 12 apples:                              12

                                                                   ------

There ar 12 + 8 = 20                     20 + 8 = 28 fruit total

So it is 12/28. But WAIT. You have to simplify so

12                  /                   4                           3

---                                    ------               =     -------

28                 /                   4                            7

4/4 = 1

So, 12/18 = 3/7. Meaning: There are 3 apples for every 7 total fruit. Ratio: 3 to 7 or 3:7 or 3/7

Can I be brainliest? TYSMMMMMMM

Answer:

Step-by-step explanation:

y=2x+1

Answer:

y=2x+1

Step-by-step explanation:

Answer:18 19 20

Step-by-step explanation:"Consecutive"  means that the integers will follow each other in value, for example:  1, 2, 3 or 4, 5, 6.  Also, no decimals are needed here because "integers" are whole, counting numbers. Here is the set up:   Let x= the first integer     Then    X+1= 2nd consecutive integer   and x+2= 3rd  .  

Suppose that x=1   x+1= 1+1=2   and x+2=1+2=3   However, you need specific consecutive numbers whose sum is 57.  Remember that sum means to add:

x+  (x+1)  + (x+2) = 57                 Addition of all 3 consecutive numbers   Now solve for x

                                                   and substitute into each part to come up with the three integers:

3x + 3= 57        3x=54               x=54/3  =  18            x=18,   x+1= 18+1=19      x+2=18+2=20

Check your answer:  18+19+20=57                 57=57  Check

Answer:

-7+x=38,

Step-by-step explanation: