Explain, then show, how to prove that g(x) and g^(-1) (x) are inverse functions.

Answer:

∠X in the pre-image will be equal to ∠L in the main image

Step-by-step explanation:

△LMN is the result of a reflection of ​ △XYZ which means △LMN is the mirror image​ △XYZ

hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN

Hence, ∠X in the pre-image will be equal to ∠L in the main image

Answer:

Step-by-step explanation:

Answer:

7/2 or 3 1/2

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Plug in 700 for P0, .02 for r, 12 for n and n, and 7 for 5.

Approx value of the account in 7 years will be 805.10$.

Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is sometimes referred to as "interest on interest" since it is computed using both the principal and the accrued interest from prior periods.

Given that equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.

P = P0 (1+r/n)nt

Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account.

Hence, initial deposit:$700.00

Interest rate:2% yearly

Time:7 years

Compounding: Monthly so n = 12

put these values in the given equation. we will get P = 805.10

Therefore the value of the account in 7 years will be 805.10$.

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Answer:

1. 3/5 2. 5/8 3. 7/11 4. 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are four fractions. Write them small to large 2/3 3/5 5/8 7/11

11+11 = 22

Answer:Ron has 5 dimes and 9 quarters

Step-by-step explanation:

Lets try 9 quarters,

9x25= 225

275-225=50

50/10(Dime value)

5, Ron has 5 dimes and 9 quarters

Answer:

Its C

Step-by-step explanation:

Answer:

1 adult = 16 students

a = 16x

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's 14

The missing probabilities for Floral and Coconut are both 0.14.

To find the missing probabilities for Floral and Coconut, we need to consider that the sum of all probabilities must equal 1.

Let's calculate the missing probabilities:

The sum of the given probabilities is:

0.31 + 0.18 + 0.23 = 0.72

Since the sum of all probabilities must equal 1, we subtract the sum of the given probabilities from 1 to find the remaining probability:

1 - 0.72 = 0.28

Since the probability of Floral and Coconut is the same, we divide the remaining probability equally between the two scents:

0.28 / 2 = 0.14

Therefore, the missing probabilities for Floral and Coconut are both 0.14.

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Answer:

The probability is 2/11 or 7/95. I don't know if this is the correct answer but  I  am guessing it is.

Step-by-step explanation:

Hope this helps you :)

Answer:

Probability for first letter to be a vowel is 5/11. When you take it out you’re left with 10 overall letters and 4 more vowels so the probability that the second letter is a vowel is 4/10 if you already took a vowel in the first take.

Probability for your occurence is (5/11)*(4/10)=20/110=2/11

Answer:

17

Step-by-step explanation:

ifhrFj,iyjgztizzkyraykeLyrgodyyixynj

35

Step-by-step explanation:

Answer:

The associated PROPS are as follows:

a:[tex]P\rightarrow R[/tex]

b: [tex]R\rightarrow P[/tex]

c:[tex](Q \vee R)\rightarrow P[/tex]

d:[tex]\sim(P \lor Q)\rightarrow \sim(R \lor S)[/tex]

e:[tex]P\rightarrow (R\rightarrow Q)[/tex]

where

P is Pia is guilty

R is Raquel is guilty

Q is Quinn is guilty

S is Stan is guilty

Step-by-step explanation:

When only if is used the conditional antecedent and consequent are interchanged thus the first one is written as such.

In addition to this, the different symbols are used such that their logical meanings are clear.

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that [tex]p = 0.2[/tex]

Suppose that sixteen adults in the United States are selected randomly.

This means that [tex]n = 16[/tex]

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]

[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]

[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]

[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Answer:

12.5km

hope this helps

have a good day :)

Step-by-step explanation:

Answer:12.5Km

Step-by-step explanation:

You do 2.5 x 5

Answer:

the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;

[tex]\frac{\pi }{2} [e^2 - 1 ][/tex]  or 10.036

Step-by-step explanation:

Given the data in the question;

y = [tex]y = e^{(x - 1 )[/tex], y = 0, x = 1, x = 2.

Now, using the integration capabilities of a graphing utility

y = [tex]y = e_2}^{(x - 1 )_[/tex], y = 0

Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2} - (0)^2 dx[/tex]

Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2 dx[/tex]

Volume = [tex]\pi \int\limits^2_1 e^{2x-2}dx[/tex]

Volume = [tex]\frac{\pi }{e^2} \int\limits^2_1 e^{2x}dx[/tex]

Volume = [tex]\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1[/tex]

Volume = [tex]\frac{\pi }{2e^2} [e^4 - e^2 ][/tex]  

Volume = [tex]\frac{\pi }{2} [e^2 - 1 ][/tex]  or 10.036

Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;

[tex]\frac{\pi }{2} [e^2 - 1 ][/tex]  or 10.036

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.

Your blanks can be filled with ...

We would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).

Answer:

I think the answer is 103.6

Step-by-step explanation:

divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem

(14)^2 + (24)^2 = /742 = 27.8

27.8x2 + 48 = 103.6

hope that answers your question

Answer:

every other night another $1 getting made

Step-by-step explanation:

Answer:

eeeeeeeeeeee nose

Step-by-step explanation:

Answer:

f(x) = y = 70

Step-by-step explanationsince

since 100 · 0.7 = 70

      f(x) = y = 70

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3

The equivalent equation for the given is y=-5/2x+3. Therefore, option A is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given equation is 5x +2y=6.

The equivalent equation is 2y=-5x+6

y=-5/2x+6/2

y=-5/2x+3

Therefore, option A is the correct answer.

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Select the line that is equivalent to 5x +2y=6.

A) y=-5/2x+3

B) y=5/2x-3

C) y=-2/5x+6/5

D) y=2/5x-6/5

Answers on edg. are:

log2 8

log3 27

log10 1,000

Step-by-step explanation:

Yo just trust me ight

Answer:

48

Step-by-step explanation:

Imagine that all of the other angles within the circle are gone except for the angle "y".

Now kindly look at the image.

We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.

The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.

So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )

so y = [tex]\frac{96}{2}[/tex]

96/2=48

Hence the value of y is 48

Answer:

16

Step-by-step explanation:

Answer:

h = 16

Step-by-step explanation:

Ratios:

[tex]\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16[/tex]

Answer:

A. I

Step-by-step explanation:

The other person is wrong and I took the test

Here's the solution,

=》

[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]

=》

[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]

now, let's multiply the whole equation with 4

=》

[tex]4 {x}^{2} - 12x + 5 = 0[/tex]

=》

[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]

=》

[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]

=》

[tex](2x - 1)(2x - 5) = 0[/tex]

so,

Case 1. where, 2x - 5 = 0

=》

[tex]x = \dfrac{5}{2} [/tex]

case 2. where, 2x - 1 = 0

=》

[tex]x = \dfrac{1}{2} [/tex]