What is true about the image AK'L'M'? Select three
options.

The domain of the composite function in this problem is given as follows:

All real values.

The functions in this problem are defined as follows:

For the composite function, the inner function is applied as the input to the outer function, hence it is given as follows:

\((f \circ g)(x) = f(x - 2) = 2^{x - 2}\)

The function has no restrictions in the input, as it is an exponential function, hence the domain is given by all real values.

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Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

\(12 = 3.4 = 3 .2.2 = 3.2^{2}\\12^{3} = (3.2^{2} )^{3} = 3^{3}2^{6} \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator } =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2\)  

Answer:

Commutative.

Associative property works on symbols instead of signs!

Answer:

associative property

Step-by-step explanation:

[a+b]+(c)=(a)+[b+c]

Answer: its D

Step-by-step explanation:

Answer:

65° or 115°

Step-by-step explanation:

there is no picture but if

mEDB looks like mCDB then its 65°

but if they dont look alike then

180-65=115

straight line is 180°

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Answer:

the answer is A

Step-by-step explanation:

multiply the 2 numbers

Answer:

C. 32.75Is the answer!!

Step-by-step explanation:

The flux of the vector field F through the surface S is zero.

To compute the flux of the vector field F = 3 i + 5 j + zk through the surface S, we need to evaluate the surface integral of the dot product between F and the unit normal vector to the surface.

Let's parameterize the surface S using cylindrical coordinates. We can describe a point on the surface using the coordinates (r, θ, z), where r is the distance from the z-axis, θ is the angle around the z-axis, and z is the height of the point above the xy-plane. We can write the surface S as:

r ≤ 3, −1 ≤ z ≤ 1, 0 ≤ θ ≤ 2π

The unit normal vector to the surface at a point (r, θ, z) is given by:

n = (r cos θ)i + (r sin θ)j + zk

To compute the flux, we need to evaluate the surface integral:

∫∫S F · n dS

We can compute this integral using cylindrical coordinates. The surface element dS is given by:

dS = r dr dθ dz

Substituting F and n, we get:

F · n = (3i + 5j + zk) · (r cos θ)i + (r sin θ)j + zk)

= 3r cos θ + 5r sin θ + z

So the surface integral becomes:

∫∫S F · n dS = ∫0^{2π} ∫_{-1}^1 ∫_0^3 (3r cos θ + 5r sin θ + z) r dz dθ dr

Evaluating this integral gives us the flux of the vector field F through the surface S. We can simplify the integral as follows:

∫0^{2π} ∫_{-1}^1 ∫_0^3 (3r^2 cos θ + 5r^2 sin θ + rz) dz dθ dr

= ∫0^{2π} ∫_{-1}^1 (9r^2 cos θ + 15r^2 sin θ + 4.5) dθ dr

= ∫0^{2π} 0 dθ

= 0

Therefore, the flux of the vector field F through the surface S is zero.

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Answer:

d

Step-by-step explanation:

3/5

5 poster boards in total and 3 are colour so...

it is  3/5

Hope this helps!

Baltazar signed a contract to work for a company with a monthly salary of $10240. If he realizes that he is being charged $1433.60 for savings funds upon receiving his first payment.

What percentage is being deducted for this concept,When a company deducts money from an employee's salary to be held in a savings fund, it is referred to as a savings fund deduction. It is a portion of an employee's salary that is collected and set aside by an employer. It is taken from the employee's pre-tax income and placed into a fund for retirement, vacation, or other purposes.

Let us calculate the percentage of savings fund deduction in the given situation.First, we'll find out how much money is being deducted:$10240 × 1433.60/100 = $1467.62The amount of money deducted from Baltazar's salary is $1467.62.To find the percentage, divide the deducted amount by the salary:1467.62/10240 × 100 = 14.34%Therefore, the percentage that Baltazar is being charged for savings funds is 14.34%.

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Answer:well by using the point slope form the answer for the x intercept is 1 and the y intercept is -2 point slope is y-4=2(x-1)

Step-by-step explanation: then you solve for x and y I hope I’m correct

(a) The probability of rolling a 7 is zero for both dice since the 6-sided die has numbers from 1 to 6 and the 8-sided die has numbers from 1 to 8. b) The overall probability of rolling a 4 is 7/96.

(a) The probability of rolling a 7 is zero for both dice since the 6-sided die has numbers from 1 to 6 and the 8-sided die has numbers from 1 to 8.

(b) The probability of rolling a 4 for the 6-sided die is 1/6, and the probability of rolling a 4 for the 8-sided die is 1/8. Since you are three times more likely to pick up the 6-sided die, the overall probability of rolling a 4 is:

(3/4) * (1/6) + (1/4) * (1/8) = 1/16 + 3/192 = 7/96

(c) Let A be the event that you picked up the 6-sided die, and let B be the event that you rolled a 4. Then we want to find the probability of A given B, or P(A|B). By Bayes' theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of rolling a 4 given that you have the 6-sided die, which is 1/6. P(A) is the probability of picking up the 6-sided die, which is 3/4. To find P(B), we use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

P(B|not A) is the probability of rolling a 4 given that you have the 8-sided die, which is 1/8. P(not A) is the probability of not picking up the 6-sided die, which is 1/4. Therefore,

P(B) = (1/6)(3/4) + (1/8)(1/4) = 11/32

Putting it all together, we get:

P(A|B) = (1/6)*(3/4)/(11/32) = 3/11

Therefore, the probability of having picked up the 6-sided die given that you rolled a 4 is 3/11.

(d) Picking up the 6-sided die and rolling a 7 are independent events because the outcome of one event does not affect the outcome of the other. However, since it is impossible to roll a 7 with either die, the probability of rolling a 7 given that you picked up either die is zero.

(e) Let's first find the probability of rolling a 1 at least once in two rolls of the 6-sided die. The probability of not rolling a 1 on a single roll is 5/6, so the probability of not rolling a 1 on either roll is (5/6)*(5/6) = 25/36. Therefore, the probability of rolling a 1 at least once is:

1 - 25/36 = 11/36

Now let's find the probability of rolling the same number twice on two rolls of the 6-sided die. There are six possible outcomes for the first roll, and for each outcome, there is a 1/6 probability of rolling the same number again on the second roll. Therefore, the probability of rolling the same number twice is:

6 * (1/6)*(1/6) = 1/6

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If a function f is differentiable at a point a and f(a) is not equal to zero, then the absolute value function |f| is also differentiable at that point.

The proof involves considering two cases based on the sign of f(a) and showing that the limit of the difference quotient exists for |f| at point a in both cases. However, it is important to note that |f| is not differentiable at the point where f(a) equals zero.

To prove that if f is differentiable at a, then |f| is also differentiable at a, provided that f(a) ≠ 0, we need to show that the limit of the difference quotient exists for |f| at point a.

Let's consider the function g(x) = |x|. The absolute value function is defined as follows:

g(x) = {

x if x ≥ 0,

-x if x < 0.

Since f(a) ≠ 0, we can conclude that f(a) is either positive or negative. Let's consider two cases:

Case 1: f(a) > 0

In this case, we have g(f(a)) = f(a). Since f is differentiable at a, the limit of the difference quotient exists for f at point a:

lim (x→a) [(f(x) - f(a)) / (x - a)] = f'(a).

Taking the absolute value of both sides, we have:

lim (x→a) |(f(x) - f(a)) / (x - a)| = |f'(a)|.

Since |g(f(x)) - g(f(a))| / |x - a| = |(f(x) - f(a)) / (x - a)| for f(a) > 0, the limit on the left-hand side is equal to the limit on the right-hand side, which means |f| is differentiable at a when f(a) > 0.

Case 2: f(a) < 0

In this case, we have g(f(a)) = -f(a). Similarly, we can use the same reasoning as in Case 1 and conclude that |f| is differentiable at a when f(a) < 0.

Since we have covered both cases, we can conclude that if f is differentiable at a and f(a) ≠ 0, then |f| is also differentiable at a.

Note: It's worth mentioning that at the point where f(a) = 0, |f| is not differentiable. The proof above is valid when f(a) ≠ 0.

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9 in 8956 = 900

9 in 95675 = 90000

9 = 9 in 124569

9 in 68795 = 90

90000 = 9 in 2549652.........

hope it helps...

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

105 eggs

Step-by-step explanation:

Total eggs they bought = ( 8×12) = 96 eggs

They already had 9 eggs so adding 96 and 9 gives us 105 eggs in total

The number of people who know about the celebrity's proposal will continue to grow exponentially each day, starting from 888 and increasing by 50% each day. Let's analyze the growth in the number of people who know about the celebrity's proposal day by day.

Initially, 888 people know about the proposal. On the first day, the number of people who know increases by 50% of 888, which is (50/100) * 888 = 444 people. Therefore, after the first day, the total number of people who know is 888 + 444 = 1332.

On the second day, the number of people who know increases by 50% of 1332, which is (50/100) * 1332 = 666 people. Thus, the total number of people who know after the second day is 1332 + 666 = 1998.

Following this pattern, we can determine the number of people who know on subsequent days:

- On the third day: 1998 + (50/100) * 1998 = 2997 people.

- On the fourth day: 2997 + (50/100) * 2997 = 4495.5 (rounded to 4496) people.

- On the fifth day: 4496 + (50/100) * 4496 = 6744 people.

- And so on...

The growth in the number of people who know follows an exponential pattern since it increases by a certain percentage each day. The formula to calculate the number of people who know after a certain number of days can be written as:

N = 888 * (1 + 0.5)^d

where N is the total number of people who know after d days

In conclusion, the number of people who know about the celebrity's proposal will continue to grow exponentially each day, starting from 888 and increasing by 50% each day.

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Answer: Marsha gets 100, Matthew gets 150

Step-by-step explanation:

they work 5 days total

250/5 days = 50/day

Marsha works 2 days, Matthew works 3

2 x 50 = 100 for Marsha

3 x 50 = 150 for Matthew

Answer:

Marsha would earn $100 while matthew would earn $150.

Step-by-step explanation:

In total they earned $250, the total amounts of days worked were 5.

250 ÷ 5 = 50, they were being paid $50 per day.

Meaning marsha would earn $100 while matthew would earn $150

Answer:

26 Books

Step-by-step explanation:

26 + 36 = 62

Sorry I couldn't explan more, but I hope this helps!

With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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This looks simple...for 14 the perimeter is x+3+x+3+2x-1+2x-1. Simplified is 6x+6-2. Which is 6x+4.

Thank me if it looks right!

For 15...2y+3+2y+3+x+3+x+3...Which is 4y+12+2x.

Answer:

it will be 7

Step-by-step explanation:

Answer:

False! However all equilateral triangles are acute

Answer:

m=9/7

Step-by-step explanation

I dont think its right but i hope it helps!

The sum of money that will grow to $2,324.61 in two years at a 4% interest rate compounded quarterly is $2,145.00.

Sum of money that will grow to $2,324.61 in two years at a 4% interest rate compounded quarterly, we will use the formula for compound interest:

Future Value = Principal * (1 + (Interest Rate / Number of Compounds))^ (Number of Compounds * Time)

Here, we need to find the Principal amount. The given values are:
- Future Value = $2,324.61
- Interest Rate = 4% = 0.04
- Number of Compounds per year = 4 (quarterly)
- Time = 2 years

Rearranging the formula to find the Principal:

Principal = Future Value / (1 + (Interest Rate / Number of Compounds))^ (Number of Compounds * Time)

Substitute the values into the formula:

Principal = 2324.61 / (1 + (0.04 / 4))^(4 * 2)

Principal = 2324.61 / (1 + 0.01)^8
Principal = 2324.61 / (1.01)^8
Principal = 2324.61 / 1.082857169

Principal = $2,145.00 (rounded to the nearest cent)

The sum of money that will grow to $2,324.61 in two years at a 4% interest rate compounded quarterly is $2,145.00.

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An organized group of integers with a shared variance among each succeeding word is known as an arithmetic sequence. Hence, the right response is (b). 1/3, 1/9, 1/15, 1/21, 1/27.

Which collection of numbers doesn't fit the definition of an arithmetic sequence?

The following instances don't constitute arithmetic sequences: 1.) 2,4,8,16 is not true since the first with second terms differ by 2, while the third and fourth terms differ by 4, and the fifth and sixth terms differ by 8. There are no shared differences, hence the sequence is not arithmetic.

Is the number sequence 2 2 2 2 2 arithmetic?

The series cannot be an arithmetic sequence, however it may be defined. It does, nevertheless, have a common ratio across succeeding words, namely 1, which results in its geometric growth.

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Answer:

40 : 1

Step-by-step explanation:

40 miles / 1 hour = 40 : 1

9 block rhombuses would create 3 hexagons.

In order to increase the total number by three, a hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n. The top two hexagons in this image are each divided into 8 and 10 rhombuses. The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.

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