Find the volume of the L shaped composite prism, show clearly how you got your answers

Answer: C. The y-intercept is 13 spaces lower.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x-9+2+9x=180 degree(being co interior angles)

17x-7=180

17x=180+7

x=187/17

x=11 degree

Answer:

11

Step-by-step explanation:

consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.

8x-9 + 2+9x = 180

-7 + 17x = 180

-7+7     180+7 = 187

17x = 187

17x/17 = 187/17

x=11

Answer:

2

Step-by-step explanation:

To find the average rate of change, we use:

[tex]\frac{changeofy}{changeofx} =rate ofchagne[/tex]

To find this lets look at the graph.

We see that at x=2, y=-3, and at x=3, y=-1.

The change of y is the first y coordinates minus the second, which in this case is:

-3-(-1)=-2

Change is the absolute value of the 1st and 2nd y. So its really a change of 2, not -2.

Our change of x falls under the same formula, being:

2-3=-1, but really being 1.

Now to plug this into our first formula:

2/1=2

So the rate of change is 2.

This seems to be your first answer.

Hope this helps!

Answer:

-x²+8x-15

Step-by-step explanation:

There are two solutions: 3 and 5

First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):

(x-3)(x-5)

For resolve our problem, let's re-write it with a minus before:

-(x-3)(x-5)

You can also expand it and the result will be like this:

-x²+8x-15

Answer:

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially doing a given function in backwards order. An easy trick to doing such is to treat the evaluation (f(x)) like a variable. Think of the function as an equation, then solve the function for (x) in terms of (f(x)).

[tex]f(x)=4x^3-9[/tex]

Inverse operations,

[tex]f(x)=4x^3-9\\\\(f(x))+9=4x^3\\\\\frac{((f(x))+9)}{4}=x^3\\\\\sqrt[3]{\frac{(f(x))+9}{4}}=x[/tex]

Now put this in the form of an inverse function, switch the places of the terms (x) and (f(x)), remember to indicate that it is an inverse function,

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Answer:

1 /3

Step-by-step explanation:

We know that a^-b = 1/a^b

9^-1/2 = 1/9^1/2

The sqrt (9) =3

1 /3

Answer:

[tex] \displaystyle 27150200[/tex]

Step-by-step explanation:

we are two conditions

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]

with the condition we obtain that,

therefore substitute:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]

simplify Parentheses:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]

rewrite:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

rewrite 12 and 10:

[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]

simplify multiplication:

[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]

simplify which yields:

[tex] \displaystyle\binom{43}{4} = 123410[/tex]

hence,

The committee of 7 members can be selected in BLANK different ways is

[tex] \displaystyle 123410 \times 220[/tex]

[tex] \displaystyle \boxed{27150200}[/tex]

and we're done!

Answer:

Quadrant IV or D

Step-by-step explanation:

It is Quadrant IV or D, since it is a positive x (meaning it must be 1 or 4) and it has a negative y (so 3 or 4). You then find the common answer which is 4 or IV.

Answer:

[tex]\left(-3\right)\cdot \:2+\left(-2\right)\\\left(-3\right)\cdot \:2\\\\=-6\\\=-6+\left(-2\right)\\\\=-6-2\\=-8[/tex]

I hope this is what you're looking for

Answer:

Step-by-step explanation:

according to the question equation is

y=1/3*(x+2)

y=x+2/3

Answer:

:)

Step-by-step explanation:

PB , radius = 12cm

[tex]Area = \pi r^2 \frac{\theta}{360}[/tex]

       [tex]= \pi \times 12^2 \times \frac{74}{360}\\\\=92.99 \ cm^2\\= 93 \ cm^2[/tex]

Answer:

C) [tex]\sqrt{106}[/tex] units

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths of a right triangle and [tex]c[/tex] is the hypotenuse, the longest side of the right triangle.

The distance formula is similar to that of the Pythagorean Theorem which is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points that you wish to find the distance between them in an (x,y) coordinate plane.

Here, we are given that [tex](x_1,y_1)[/tex] is [tex]P(-4,-6)[/tex] and [tex](x_2,y_2)[/tex] is [tex]Q(1,3)[/tex]. So, we can use the distance formula as described previously to find the positive distance between the two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(1-(-4))^2+(3-(-6))^2}[/tex]

[tex]d=\sqrt{(1+4)^2+(3+6)^2}[/tex]

[tex]d=\sqrt{(5)^2+(9)^2}[/tex]

[tex]d=\sqrt{25+81}[/tex]

[tex]d=\sqrt{106}[/tex]

[tex]d \approx 10.295630141[/tex]

Since all of the given answer choices are in radical form, then C is the correct answer. The distance between the two points is [tex]\sqrt{106}[/tex] units.

You have the right idea so far, but you forgot to finish it up.

Point slope form is

y - y1 = m(x - x1)

where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then

y - y1 = m(x - x1)

y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers

OR

If you use the point (2,3), then we'd say

y - y1 = m(x - x1)

y - 3 = -1(x - 2) ..... which is another possible answer

There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.

By the way, nice work on getting the correct answer for the slope-intercept form.

Step-by-step explanation:

(0,5)and (2,3)

[tex] m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5[/tex]

Brianliest please~

Answer:

11

Step-by-step explanation:

44/4

Answer:

$455.4 For The Year

Step-by-step explanation:

Kevin  pays $ 37.95 per month for his cell phone with unlimited minutes

First, We know that there are 12 months in 1 year.

Therefore, 1 year = 12 months

The cost per month = $ 37.95

So, have to find the cost for 12 months

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

So your solution to the problem is $455.4 Cost for the year.

Answer:

opción D

Step-by-step explanation:

El número más bajo es -2

Número mayor que -2 es -1

Número mayor que -1 es 0

Número mayor que 0 es 4

Entonces, el orden de mayor a menor es 4> 0> -1> -2

Por tanto, la opción D es correcta

Answer: A

Step-by-step explanation:

x/32 = 18/13

Answer:

X=8

Step-by-step explanation:

[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]

Answer:

about 671 miles

Step-by-step explanation:

2014m=3h

2014/3= about 671 miles an hour

Answer:

671.33 repeating

Step-by-step explanation:

2014/3=671.33

Answer:

The probability is 1/41664.

To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.

Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

[tex]y = -x^2 + 10x - 8[/tex]

Required

The point where the trestle gets to the ground level

To do this, we set [tex]y = 0[/tex]

So, we have:

[tex]-x^2 + 10x - 8 = 0[/tex]

Multiply through by -1

[tex]x^2 -10x + 8 = 0[/tex]

Solve using quadratic formula:

[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 1; b =-10; c = 8[/tex]

So, we have:

[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]

[tex]x= \frac{10 \± 8.25}{2}[/tex]

Solve the fraction

[tex]x= 5 \± 4.125[/tex]

Split

[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]

[tex]x= 9.125\ or\ x= 0.875[/tex]

Answer:

4 is the range of the function

Rational

OPTION A is the correct answer

Answer:

A is the correct answer! :)

Step-by-step explanation:

have a nice day!~

Answer:

11/3

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:

 3 3 ⟌ 9    

Step 2:

The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:

       0    

 3 3 ⟌ 9    

Step 3:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

       0    

 3 3 ⟌ 9    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.

       0    

 3 3 ⟌ 9    

     - 0    

       9    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 9 divided by 33 calculated using Long Division is:

0

9 Remainder

I think its the second one.  I hope it is

Answer:

I believe its c $1520 overall there's only a decrease of 5%

Answer:

The value of the investment on August 1st is $1,512.

Step-by-step explanation:

To find the value of the percentage decreased by the percent of its value, simply subtract a number to a percent. To find the value of the percentage increased by the percent of its value, add a number to the percent. In this case, the value of the investment started with $1,600 and then it decreased by 10%. We can write our equation like this: 1,600 - 10% = ?. Don't think about turning 10% into 0.1. You could do that, but it wouldn't result in the answer as the value decreased by 10%. It would turn out to be 1,599.9 if you did subtract 1,600 by 0.1. It is NOT the value DECREASED by 10%. I think some people would mistakenly go on to that path but please don't. You will NOT recieve an accurate answer. Following the equation, you should get $1,440. That is the investment made during the month of June decreased by 10%.

During the month of July, the value INCREASED by 5%. Similar to the percentage decreased equation, we just turn the subtraction symbol into an addition symbol. Do the same process again but with an addition symbol and the NOW value of $1,440. You should get $1,512 as your final answer. If you are confused about how I got this answer, look at this equation for percentage increased: 1,440 + 5% = ?. If I am wrong, please let me know and I hope this helps! :D

Answer:

Step-by-step explanation:11/5 x 3 =6.6 4/5 x 1 =0.8

Answer:

there are 8 for any four leg creatures : there are 4 for a human

Step-by-step explanation: