Maggie's brother is 6 years younger than four times her age. The sum of their ages is 69.
How old is Maggie?

The fraction that is the ratio of the shaded area of the circle to the area between the two squares is (π−2)/2.

A fraction is a mathematical expression that represents a part or a proportion of a whole.

Let us assume that the radius of the circle is 'r' units. Therefore, the diameter of the circle is 2r units. The diagonal of the inner square is equal to the diameter of the circle, which is 2r units. Hence, the side of the inner square is r√2 units.

Now, let's consider the area of the circle. The formula for the area of a circle is

=>  A=πr².

Therefore, the area of the circle is πr².

The area between the two squares is the difference between the area of the outer square and the area of the inner square. The area of the outer square is

=> (2r)²=4r²,

and the area of the inner square is

=> (r√2)²=2r².

Hence, the area between the two squares is

=> 4r²−2r²=2r².

The shaded area of the circle is the area inside the circle but outside the inner square. We can find this area by subtracting the area of the inner square from the area of the circle. Therefore, the shaded area of the circle is

=> πr²−2r²=(π−2)r².

Now, let's find the ratio of the shaded area of the circle to the area between the two squares. We can express this ratio as a fraction. Thus,

ratio = (π - 2)r² / 2r

We can simplify this fraction by canceling out the common factor r^2 in both the numerator and denominator. Thus,

ratio = (π - 2) / 2

This fraction is closest to the ratio of the shaded area of the circle to the area between the two squares.

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Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

No work is required to move a charge any where

Step-by-step explanation:

since the electric field lines point radially away from the charge. they are perpendicular to the equipotential lines.

the potential is the same along each equipotential line, meaning that no work is required to move a charge anywhere along one of those lines.

when multiplying fractions , multiply across the numerator and denominator

you dont need common denominators

example

\(\frac{1}{2}*\frac{4}{5}=\frac{1*4}{2*5}\)

Hope this helps : -)

- Jeron

Answer:

Three ways I experience these benefits is 1, being able to vote in free elections, 2, being able to receive an education, and 3, being able to volunteer for things.

Step-by-step explanation:

Answer:

50 min :)

Step-by-step explanation:

12 cookies in ten min

12*5=60

10*5=50

12800

Step-by-step explanation:

you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)

Answer:

NONE work!!!!!!!!!!

Answer:

he is right if u need further explonation it is b and c

Step-by-step explanation:

The inequality is given as –5h + 20 > –10. And the solution of the inequity will be h < 6.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The weather report says the temperature is 20 °C and will drop 5 °C per hour for the next 6 hours. Daryl plans to be gone for at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above –10 °C.

Let h be the number of hours.

The inequality is given as,

–5h + 20 > –10

And the solution of the inequity will be

–5h > –30

 5h < 30

   h < 6

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Step-by-step explanation:

-4 + 2 + 4f = 8 - 3f

-2+4f=8-3f

7f=10

f=10/7

Step-by-step explanation:

\( - 4 + 2 + 4f = 8 - 3f \\ - 2 + 4f = 8 - 3f \\ - 4f - 3f = - 2 - 8 \\ \frac{ - 7f }{ - 7} = \frac{ - 10}{ - 7} \\ f = \frac{10}{7} \)

Answer:

(6,3), (10,5),(14,7)

Step-by-step explanation:

6/3 = 2

10/5 = 2

14/7 = 2

Answer:

X = 4 and Y = 5

Step-by-step explanation:

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

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Answer:

The x = -11

hope it helps :)

Answer:

17) m = 35; n = 110

18) b = 90; c = 80; d = 100

Step-by-step explanation:

17)

2m = 70

m = 35

n + 70 + 70 + n = 360

2n + 140 = 360

2n = 220

n = 110

18)

b - 10 + b + 10 = 180

2b = 180

b = 90

b - 10 = c

90 - 10 = c

c = 80

b + 10 = d

90 + 10 = d

d = 100

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

The probability that you earn 10 points, then 5 points, then 10 points is 0.000356 or 0.0356%.

We can approach this problem by using the multiplication rule of probability, which states that the probability of two or more independent events occurring together is the product of their individual probabilities.

First, we need to find the probability of drawing a card worth 10 points. There are 16 cards in the deck that are worth 10 points (4 tens, 4 jacks, 4 queens, and 4 kings) out of a total of 52 cards. Therefore, the probability of drawing a card worth 10 points on the first draw is 16/52 or 4/13.

Next, we need to find the probability of drawing a card worth 5 points. There are four cards in the deck worth 5 points, all of which are fives. Therefore, the probability of drawing a card worth 5 points on the second draw is 4/51, since there are only 51 cards left in the deck.

Finally, we need to find the probability of drawing another card worth 10 points on the third draw. Since we already drew a card worth 10 points, there are only 15 such cards left in the deck out of 50 remaining cards. Therefore, the probability of drawing another card worth 10 points on the third draw is 15/50 or 3/10.

Using the multiplication rule, we can find the probability of earning 10 points, then 5 points, then 10 points as follows:

P(10 points, 5 points, 10 points) = P(10 points on first draw) * P(5 points on second draw) * P(10 points on third draw)

P(10 points, 5 points, 10 points) = (4/13) * (4/51) * (3/10)

P(10 points, 5 points, 10 points) = 12/33,726

P(10 points, 5 points, 10 points) is approximately 0.000356 or 0.0356%.

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Answer:

KL = 12

Step-by-step explanation:

KL/GH = NK/JG

KL/37 = 17/52.5

52.5·KL = 629

KL = 11.98

Answer:

False

Step-by-step explanation:

0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.

Answer:

2x+3y=130

Step-by-step explanation:

Let x=cost of full pass

Let y=cost of restricted pass

Brian and Bob bought 2 full and 3 restricted passes.

Have a good day!

Answer:

610

Step-by-step explanation:

Multiply the monthly $40 by the 9 months

(40 times 9 = 360)

Then you would need to add in the original $250 deposit money

(360 + 250 = 610)

The measure of angle ABD (which is the same as angle CBD) is 45 degrees.

The quadrilateral's opposing sides are equal. Triangles ABC and ABCD have equal angles on either side of their equal sides. In the quadrilateral ACBD, the opposing angles are also equal. A parallelogram is formed by ACBD.

We can use the fact that the total of the angles of a triangle is always 180 degrees to determine the measure of angle CBD. As a result, we have:

Angle ABD + Angle CBD + Angle BCD = 180 degrees

Substituting the given angle measures, we get:

Angle ABD + Angle CBD + 90 degrees = 180 degrees

Simplifying, we get:

Angle ABD + Angle CBD = 90 degrees

But we know that Angle ABD = Angle CBD, so we can substitute:

2 x Angle ABD = 90 degrees

Dividing both sides by 2, we get:

Angle ABD = 45 degrees

So, the measure of angle ABD (which is the same as angle CBD) is 45 degrees.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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The equation \(x^2 + y^2 + 10y + 20 = 0\) represents a circle with center (0, -5) and radius 5.

To determine if the equation represents a circle, we need to rewrite it in standard form. The standard form of a circle equation is \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle and r represents the radius.

Completing the square for the y terms:

\(x^2 + y^2 + 10y + 20 = 0\\ x^2 + y^2 + 10y = -20\\ x^2 + y^2 + 10y + 25 = -20 + 25\\ x^2 + (y + 5)^2 = 5\)

Now the equation is in standard form, \((x - 0)^2 + (y + 5)^2 = 5^2\), which represents a circle.

By comparing the equation to the standard form, we can determine the center and radius of the circle. The center is given by the values (h, k), which in this case is (0, -5). Therefore, the center of the circle is (0, -5).

The radius is determined by the term \(r^2\), which in this case is \(5^2 = 25\). Therefore, the radius of the circle is 5.

In summary, the equation x^2 + y^2 + 10y + 20 = 0 represents a circle with center (0, -5) and radius 5. The completion of the square allowed us to rewrite the equation in standard form, making it evident that it represents a circle. The center of the circle is determined by the values of x and y, and the radius is determined by the value of r.

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Question 10 The optimal solution must occur at one of the vertices (or corner points) of the polygon.

Question 11 A vertex represents a point where two boundary lines intersect and form a corner of the region.

Question 10 The optimal value of the objective function in a linear programming problem exists at one of the corner points of the feasible region.

This is because the objective function is linear and the feasible region is a convex polygon, so the optimal solution

must occur at one of the vertices (or corner points) of the polygon.

For question 11, a vertex (or corner point) of a solution region is a point in the region that is the intersection of two

boundary lines.

This is because a vertex is defined as the point where two or more edges or lines meet, and in a solution region, the

edges or lines represent the constraints of the problem.

Therefore, a vertex represents a point where two boundary lines intersect and form a corner of the region.

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