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3 years ago

Can yall pleas help me with this!!!!!!!

Mathematics

2 answers:

Tamiku [17]3 years ago

7 0

Answer:

#5 ∠RST , Obtuse

#6 ∠XYZ, Right

#7 ∠ABC, Straight

#8 ∠HFG, Acute

#9 ∠JPM, Acute

#10 ∠EDF, Right

Hope this helps :)

makkiz [27]3 years ago

7 0

Answer:

5. Obtuse 6. Right 7. Straight 8. Acute 9. Acute 10. Right

so quick explanation acute is smaller than 90 degrees right angle is exactly 90 degrees an obtuse angle is over 90 degrees and a straight angle is 180 degrees also straight

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1. Use the correct order of operation to solve the following problem: 3 × (50 – 62) ÷ 2 A. 69 B. 18 C. 21 D. 57

AveGali [126]

The correct answer is B.18

5 0

3 years ago

Read 2 more answers

A function is given:

Marizza181 [45]

Answer:

A. y = (x - 12)/3

B. See below

C. -2

Step-by-step explanation:

In general, to find the inverse of an equation like this, all you have to do is swap the x and y variables then solve for y.

First, replace "f(x)" with y... y = 3x + 12

Next, swap x and y... x = 3y + 12

Now, solve for y. You should get y = (x - 12)/3, and this is the inverse of f(x) = 3x + 12. Since the inverse is a different equation, you can rename "y" to be "g(x)" to help with part B.

Composite functions just mean you take one and plug it into the other. With inverses, plugging the functions into one another should return just x. In this case, you can take g(x) and plug it into f(x); so you can find f(g(x)).

Replace every instance of x with g(x). f(g(x) looks kind of weird, but it functions the same as every other function; you just plug something in and get something out.

f(g(x)) = 3[(x - 12)/3] + 12

Simplify; cancel out the 3s, add 12 and -12. What's left? x. This is how you know these two functions are inverses of one another. To help yourself visualize, plug them into a graphing calculator and see what inverses like compared to one another so you can understand how they behave graphically!

For part C, all you have to do is plug -2 into g(x) first, then plug the result of that into f(x). Try it on your own. g(-2) should give you -14/3, and when you plug that into f(x), you should end up with -2.

For the domain, you should recognize that both the inverse and the original function are linear. There are no square root symbols, logarithms, or variables in the denominators that would limit the domain (i.e. when you have x - 3 as the denominator, so you know you can't plug in 3 because it will give you 0 and you can't divide by zero). Since there's nothing to mess up the domain, it's all real numbers.

8 0

3 years ago

There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2 of the 22 students, then wh

damaskus [11]

<h3>Answer: 0.519</h3>

==========================================

Explanation:

Let's start off counting the number of ways to form the panel that doesn't have Allen or Joe on it. In other words, both are not on the panel.

There are 22 students, but we want to exclude 2 of them (Allen and Joe) from the panel. So in reality, we only have 20 students to pick from. There are 6 slots to fill.

The first slot has 20 choices

The second slot has 19 choices

The third has 18 choices

And so on. We count our way down until all six slots are filled. We'll have this sequence of six values: 20, 19, 18, 17, 16, 15

They multiply out to 20*19*18*17*16*15 = 27,907,200

This is the number of permutations where we choose 6 from a pool of 20.

With permutations, order matters; however, order doesn't matter on this panel. All we care about is the group overall.

So we must divide by 6! = 6*5*4*3*2*1 = 720 and we get

(27,907,200)/(720) = 38,760

There are 38,760 different combinations, so there are 38,760 different panels where neither Allen nor Joe are selected.

We'll use this later later, so let A = 38,760

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

Now onto the next part. We need to count the total number of possible panels, and this time we're including Allen and Joe.

We have our original total of 22 students. There are still 6 seats to fill.

We could follow the same steps as the prior section, but I'll use a different route.

Let n = 22 and r = 6. Plug these values into the nCr combination formula below

$_n C_r = \frac{n!}{r!*(n-r)!}\\\\_{22} C_6 = \frac{22!}{6!*(22-6)!}\\\\_{22} C_6 = \frac{22!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17*16!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6*5*4*3*2*1}\\\\_{22} C_6 = \frac{53721360}{720}\\\\_{22} C_6 = 74613\\\\$

There are exactly 74,613 ways to form a committee of 6 people from a pool of 22 total.

Let B = 74,613

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

To find the probability of neither Allen or Joe are on the committee, we divide the values of A and B found earlier

A/B = (38,760)/(74,613) = 0.5194805

This value is approximate.

Rounding to three decimal places, or rounding to the nearest thousandth, leads to the final answer 0.519

There's roughly a 51.9% chance of forming a panel where neither Allen nor Joe are members.

7 0

3 years ago

I need an answer please help.

seraphim [82]

You would cross multiply the numbers to get 8x=15.

Then you would take away the 8 from both sides so you would divide it.

You are now left with x=1 7/8

Therefore that is your answer.

3 0

4 years ago

The table below shows the data for a random sample of fish that were collected from and later released into a lake: type of fish

Gwar [14]

You were given the data as statistics so that you can predict the number of a certain type of fish through ratio and proportion. The main focus here is then number of bluegill fish. From the given statistics, the number is 87. The total number of fishes at that time was 52+61+87 = 200. So, assuming that this composition is uniform in the said lake. We can then use the ratio from the given statistics to know the proportion of bluegills to the total fishes. Hence, we equate the two ratios:

87/200 = x/800

where x is the number of bluegills among the 800 total fishes that is in proportion to the gathered statistics. Solving for x, we determine the answer to be

x = 348

8 0

3 years ago

Read 2 more answers