I need help with these 2 questions

The measure of arc JML in the given circle is 233°.

By definition, the measure of an arc is equal to the measure of the central angle that intercepts it. A central angle forms when two rays have their origins at the center of the circle and it also serves as the vertex of the central angle. We can note from the diagram that

arc JL is formed by the endpoints of the central angle ∠JKL=127°.

Thus, the measure of arc JL is equal to the measure of the angle or

arc JL=127°.

To find arc JML, we can note from the diagram that is equal to the rest of the circle. We know that the measure of a complete circle is 360°, so we can subtract arc JL from it and we get:

arc JML=360°-arc JL

=360°-127°

=233°

Therefore, the measure of arc JML in the given circle is 233°.

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To determine the function f(x), we integrate the given derivative f'(x) as follows:

[tex]∫ f'(x) dx = ∫ (x^3 - 3x - 2) dxf(x) =[/tex]

[tex](1/4)x^4 - (3/2)x^2 - 2x + C[/tex]

where C is the constant of integration.

To find the value of C, we can use a point of the function. Let's say that f(0) = 5. Then we have:

[tex]5 = (1/4)(0)^4 - (3/2)(0)^2 - 2(0) + C[/tex]

[tex]C = 5[/tex]

Therefore, the function f(x) is:

[tex]f(x) = (1/4)x^4 - (3/2)x^2 - 2x + 5[/tex]

To answer the second question about retirement savings, we need more information about the retirement goals such as the desired retirement income, length of retirement, current age, and expected rate of return. Without this information, we cannot calculate the amount needed to be deposited each year.

Answer:

B. is true

Step-by-step explanation:

For turning points f'(x) = 0, so

x^3 - 3x - 2 = 0

f(-1) = -1 + 3 - 2 = 0

f(2) = 8 - 6 - 2 = 0

At  = -1, f"(x) = 3x^2 - 3 = 3(1) - 3 = 0 so this is a point of inflection

and at x = 2 f"(x) = 3(-2)^2 - 3 = 9 so this is a minimum.

So there ia a point on inflection at x = 0 and a minimum at x = 2

Answer:

A = 36 cm²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 9 and h = 8 , then

A = [tex]\frac{1}{2}[/tex] × 9 × 8 = 4.5 × 8 = 36 cm²

Answer: 5.75 lbs each

Step-by-step explanation:

We will divide 23 pounds of apples among the 4 friends.

           23 / 4 = 5.75 lbs each

Yes ,it is reasonable to conclude that percent of income spent on housing for the sample of homeowners is less now than 5 years ago.

Sample size = 20

Condition to check it is reasonable to conclude percent of income spent on housing is less now than 5 years ago.

Compare the average percent of ,

Income spent on housing for sample of homeowners 5 years ago to Income spent on housing for same sample of homeowners now.

Calculating the mean percent of income spent on housing for the sample of homeowners 5 years ago,

(17+20+29+43+36+43+45+19+49+49+35+16+23+33+44+44+28+29+39+22)/20

= 33.15%

Calculating the mean percent of income spent on housing for the same sample of homeowners now,

=(10+39+37+27+12+41+24+26+28+26+32+21+12+40+42+22+19+35+12)/20 = 25.25%

It can be observed that the mean percent of income spent on housing for the sample of homeowners 5 years ago is higher .

Compare to mean percent of income spent on housing for the same sample of homeowners now.

Therefore, it is reasonable to conclude that percent of income spent on housing is less now than 5 years ago for sample of homeowners .

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The above question is incomplete, the complete question is:

The amount of income spent on housing is an important component of the cost of living. the total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). an economist selected a sample of 20 homeowners in new En-gl-and and then calculated these total housing costs as a percent of monthly income, 5 years ago and now. the information is reported in the table. is it reasonable to conclude the percent is less now than 5 years ago?

Homeowner                      five years ago                          now

H-o-lt                                          17 %                                       10 %

Pi-e-rse                                        20                                        39

Me-re-ni-ck                                   29                                        37

La-n-oue                                      43                                         27

F-ag-an                                         36                                        12

Bo-bko                                         43                                        41

Ki-p-pert                                         45                                      24

Sa-n- Ro-man                                19                                        26

Kur-im-sky                                     49                                       28    

D-av-ison                                      49                                        26

Lo-zi-er                                         35 %                                     32 %              

Cie-sli-nski                                    16                                        32

Row-a-tti                                      23                                        21

Kop-pel                                       33                                       12

Ru-m-sey                                      44                                       40

Mc-Gin-nis                                   44                                        42

Pie-rce                                        28                                       22

Ro-ll                                            29                                        19

La-ng                                          39                                       35

Mil-ler                                         22                                        12  

If the total ticket sales was $ 2630, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

Let's represent the number of children as "C", the number of students as "S", and the number of adults as "A".

We know that:

A = 0.5C (there are half as many adults as students)

C + S + A = 363 (the total number of people attending)

5C + 7S + 12A = 2630 (the total ticket sales)

We can use the first equation to substitute for A in the second and third equations:

C + S + 0.5C = 363

1.5C + S = 363

5C + 7S + 12(0.5C) = 2630

5C + 7S + 6C = 2630

11C + 7S = 2630

Now we have two equations with two variables (1.5C + S = 363 and 11C + 7S = 2630). We can solve for one variable in terms of the other in the first equation for tickets:

S = 363 - 1.5C

Substitute this expression for S in the second equation:

11C + 7(363 - 1.5C) = 2630

Simplify and solve for C:

11C + 2541 - 10.5C = 2630

0.5C = 89

C = 178

Now we can substitute this value for C in the expression we found for S:

S = 363 - 1.5(178)

S = 99

And we can use the first equation we found to solve for A:

A = 0.5C

A = 0.5(178)

A = 89

Thus, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

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The statement " if a 2×2 is a real matrix, then a can have two real eigenvalues, two non-real complex eigenvalues, or one real eigenvalue and one non-real complex eigenvalue" is false because a 2x2 real matrix cannot have one real eigenvalue and one non-real complex eigenvalue due to the fact that the eigenvalues of a real matrix always come in complex conjugate pairs.

A 2x2 real matrix can have two real eigenvalues or two non-real complex eigenvalues, but it is not possible for it to have one real eigenvalue and one non-real complex eigenvalue. This is because the eigenvalues of a real matrix always come in complex conjugate pairs.

This property can be proven by observing that the characteristic polynomial of a real matrix has real coefficients, and complex roots of a polynomial with real coefficients always come in complex conjugate pairs. Therefore, a 2x2 real matrix can have either two real eigenvalues or two non-real complex eigenvalues, but not one of each.

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The bottom of the ladder is sliding along the ground at a rate of 20 feet per second when it is 5 feet away from the base of the wall.

Let's denote the distance between the base of the ladder and the wall as x and the distance between the top of the ladder and the ground as y. Then we can use the Pythagorean theorem to relate x and y

x² + y² = 21²

We want to find how fast the bottom of the ladder (x) is sliding along the ground, which is the rate of change of x with respect to time. Let's call this rate dx/dt.

We are given that the top of the ladder is slipping down the wall at a rate of 5 feet per second, which means that the rate of change of y with respect to time (dy/dt) is -5. The negative sign indicates that y is decreasing.

We want to find the value of dx/dt when x = 5. To do this, we need to relate x, y, dx/dt, and dy/dt using implicit differentiation

2x(dx/dt) + 2y(dy/dt) = 0

Simplifying this expression, we get

dx/dt = -(y/x) × dy/dt

We can substitute the values we know into this equation

dx/dt = -(y/x) × (-5) = 5y/x

To find y when x = 5, we can use the Pythagorean theorem

5² + y² = 21²

y = √(21² - 5²) = 20

Substituting this into the equation for dx/dt, we get

dx/dt = 5y/x = 5(20)/5 = 20

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Answer:

definitely B is the rotation

Step-by-step explanation:

:)

Figure B is the rotation transformation.

Given are three figures we need to check which transformation is a rotation,

Rotation transformation is a mathematical operation that is used to rotate objects or coordinates in a plane or in three-dimensional space. It involves rotating an object or a point around a fixed point called the center of rotation by a certain angle.

The center of rotation can be any point in the plane. To perform a rotation transformation, each point is rotated by the given angle around the center of rotation. The resulting points after the rotation will form the rotated object.

Hence according to the definition of rotation transformation, we can say that the figure is showing a rotation transformation.

Hence the correct option is B.

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According to the above, the plants of group B have an average of 6 leaves more than those of group A.

To calculate the differences in leaves in the plants of both groups we must carry out the following procedure:

We must identify the number of leaves that the plants in each group have in total.

Group A

B Group

In this case, we must identify the average of each group and find the difference:

According to the above, the plants of group B have an average of 6 leaves more than those of group A.

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The cost price of the car sold at a loss of 18% is $872,222.22.

Let CP be the cost price of the car.

The selling price of the car:

= CP - 18% of CP

= 0.72 CP

Given:

Selling price of the car = $328,000

0.72 CP = $328,000

CP = $628,000 / 0.72

CP = $872222.222222

CP = $872222.22.

Full question "A car is sold for $628,000  at a loss of 18%. What is the cost price of the car?".

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Answer:

The median is A. 23

To find the median Re-arrange the numbers.

22, 22, 23, 26, 28

The middle number which is 23 is A Median.

The Range is A. 6

To find the Range We subtract the lowest frequency to the highest frequency.

Range = 28 - 22

= 6

The discount expression is d > 400 and the temperature expression is t ≤ 40

We understand that the shopper must spend more than $400 to get 10% discount

So, the expression for the amount spent is:

d > 400

We understand that the temperature is no more than 40F

So, the expression for the temperature is:

t ≤ 40

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a³ is the volume of a cube where a is the side of the cube.

We have,

The formula that shows the dependence of volume V of a cube on the length a of its edge is:

V = a^3

Where "a" is the length of one edge of the cube.

For instance,

If the length of the edge of a cube is 3 cm, then the volume of the cube would be:

V = 3^3 = 27 cm³

Similarly, if the length of the edge of a cube is 4 cm, then the volume of the cube would be:

V = 4^3 = 64 cm³

Thus,

a³ is the volume of a cube where a is the side of the cube.

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The team that had the best overall record for the season is C. Eagles; they have a larger mean value of about 22 points Falcons; they have a larger mean value of about 20.9 points

Given is the table information about the scores of two teams,

In this case, the Eagles have a larger mean value of about 22 points compared to the Falcons' mean value of about 20.9 points. So, the correct answer would be Eagles; they have a larger mean value of about 22 points.

It's worth noting that using the median value in this case is not the most accurate, because this will give you a more robust representation of the center of the dataset in cases where data have outliers.

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The correct alternative hypothesis in this case would be Ha: u not equal to 8, option a. This is because the null hypothesis in this scenario would be that the mean of the bottles of cream being filled is equal to 8 ounces.

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Answer: c

Step-by-step explanation: i took the test and got it right sorry if it is wrong hope it helps

The experimental probability of selecting a black marble is 0.40.

Probability = Number of favourable outcomes / Number of samples

Given that Michael has a bag of marbles.

The frequency of selecting each colour is recorded in the table below. Outcome   Frequency

Green         4

Black           6

Orange        5.

Number of favourable outcomes = 6

Number of samples = 4+6+5 = 15

Probability = Number of favourable outcomes / Number of samples

Probability = 6 / 15

Probability = 0.40

Hence, the experimental probability of selecting a black marble is 0.40.

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The probability that both the balls drawn are white is 2/7 when two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.

Two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.

Therefore, Total number of balls in the box = 4+ 3 = 7 balls

Thus, the probability that the first ball drawn is a white is = (Total number of white balls) /  ( Total number of balls)

=4/7

The next ball is drawn without replacement thus the number of balls in the box is 6.

And if 1 ball is picked in drawn n first tie, then remaining number of white balls is 3.

Thus, the probability that the second ball drawn is a white is = (Remaining number of total white balls) /  ( Remaining number of total balls)

= 3/6 = 1/2

Therefore, the probability that both the balls drawn are white is

= (4/7)*(1/2)

= 2/7

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let's approach this, this way

we have a principal amount P, with a annual rate of 15%, that after 2 years it became £34,385, what's P?

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 34385\\ P=\textit{original amount deposited}\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]34385 = P\left(1+\frac{0.15}{1}\right)^{1\cdot 2} \implies 34385=P(1.15)^2 \\\\\\ \cfrac{34385}{(1.15)^2}=P\implies 26000=P[/tex]

after two years? well, we already know, is above, after one year? well is just 26000 + 15% of itself, so

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 26000}}{\left( \cfrac{15}{100} \right)26000}\implies 3900~\hfill \underset{ \textit{after one year} }{\stackrel{ 26000~~ + ~~3900 }{29900}}[/tex]

Answer:

12x+72

Step-by-step explanation:

have a good day :)

Answer: One Triangle

Step-by-step explanation:

Option A is correct, the functions f(x) and g(x),  f(x)=√16ˣand g(x)=∛64ˣ are equivalent

The given two functions are f(x)=√16ˣand g(x)=∛64ˣ

We have to find how the graphs of f(x) and g(x) functions are related.

Let us simplify the two functions

f(x)=√16ˣ

=√(4²)ˣ

[tex]=(4^2)^x^/^2[/tex]

=4ˣ

Now g(x) = ∛64ˣ

[tex]=(4^3)^x^/^3[/tex]

=4ˣ

f(x) and g(x) are equal

Hence, the functions f(x) and g(x),  f(x)=√16ˣand g(x)=∛64ˣ are equivalent

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How are the graphs of the functions f(x) = sqrt 16^x and g(x) = ^3 sqrt 64 ^x related?

The functions f(x) and g(x) are equivalent.

The function g(x) increases at a faster rate.

The function g(x) has a greater initial value.

The function g(x) decreases at a faster rate

The probability that of today's 1,000 callers, at least 5 received a busy signal is approximately 0.0373. 

Typically a binomial dissemination issue where we have n = 1000 trials, each with a victory likelihood of p = 0.0032 (0.32%).

We need to discover the likelihood that at the slightest 5 trials result in victory (accepting an active signal).

Utilizing the compliment to run the show, we will discover the likelihood of having less than 5 triumphs and subtract it from 1 to urge the likelihood of having at slightest 5 successes:

P(X ≥ 5) = 1 - P(X < 5)

To calculate P(X < 5), we will utilize the binomial likelihood equation or estimation:

P(X < 5) = Σ P(X = k) for k = to 4

Utilizing the binomial likelihood equation:

P(X < 5) = Σ (1000 select k) * (0.0032)[tex]^k[/tex] * (1 - 0.0032)[tex]^(1000 - k)[/tex]

for k =0 to 4

where (1000 select k) = 1000! / (k! * (1000 - k)!)

Stopping within the values and summing up:

P(X < 5) = 0.9627

In this manner, the likelihood of having at slightest 5 triumphs is:

P(X ≥ 5) = 1 - P(X < 5) = 1 - 0.9627 = 0.0373

So, the likelihood that at slightest 5 out of 1000 callers get an active flag is 0.0373, or roughly 0.0373. 

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The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

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The answer to the expression, 2 x ? = 41 is 20.5

What is the sum of 2 and 41?

To put it another way, what do you multiply by 2 to get 41?

If "x" is "what" in the line "2 times what equals 41?" then the equation to solve the problem is

2x/2 = 41/2

2x/2 is x and 41/2 is 20.5 which means our equation will look like this:

x = 20.5

So the answer to "2 times what equals 41?" is 20.5.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

2 times what equals 41?

X is the total number of cakes she made. From the question, we know there are two kinds of cakes; those she sold and those she didn't. So;

X= number of sold cakes + number of cakes not sold

Here, the number of sold cakes is 15, and the number of cakes left is 4. So,

X= number of sold cakes + number of cakes not sold= 15+4=20

So, the total number of cakes is 20

Answer:

[tex]f=\frac{3+4d}{3+d}[/tex]

Step-by-step explanation:

[tex]d= \frac{3(1-f)}{(f-4)} \\(f-4)d=3-3f\\f-4=\frac{3-3f}{d} \\f=\frac{3-3f+4d}{d} \\f+\frac{3f}{d} =\frac{3+4d}{d} \\fd+3f=3+4d\\f(d+3)=3+4d\\f=\frac{3+4d}{3+d}[/tex]