Hello! I need some assistance with this homework question for precalculus, please?HW Q14

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

0.004

Step-by-step explanation:

Since 4/10 is 0.4 and 4/100 is 0.04, 4/1000 must be 0.004

Answer:

0.004

Step-by-step explanation:

\(\frac{4}{1000}\) is basically \(4 \cdot 10^{-4\) (if you've learned scientific notation), so all you have to do is move the decimal to the left four times. That gives us

\(4.0\\0.4\\0.04\\\boxed{0.004}\)

More depth:

\(10^{-4\) also equals 0.001, so \(4 \cdot 0.001 = \boxed{0.004.}\)

*You may do division and find the answer too. However, these ways are quicker.

9514 1404 393

Answer:

  the volume increases in proportion to h

Step-by-step explanation:

If only the value of h is changing, then the volume formula is equivalent to ...

  V = kh . . . . . where k = πr², a constant

That is, the volume is proportional to h.

If h is increasing, the volume is increasing proportionally.

Answer:

fourteen and one-hundred-two

Step-by-step explanation:

we tend to read "." as "point" but the proper reading would be to read the number left to the decimal point (14), add the word "and" and then read the number to the right of the decimal point (102)

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

Step-by-step explanation:

Volume = 1/3 * B * h

B = 8 * 8 = 64

h = 15.5

Volume = 1/3 * 64 * 15.5

Volume = 2976 cu in

Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

Answer:

x + 111 + 42 = 180 ( sum of all measures is 180 degree)

x + 153 = 180

x = 180 – 153

x = 27 degree

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Step-by-step explanation:

As the cards are being drawn with replacement, the events are independent. Thus we can find the probability by multiplying the probability of individual events.

There are 4 queens in a pack of 52 cards. So, probability of drawing a queen= 4/52=1/13

There are 26 red cards. So, probability of drawing a red card= 26/52=12

Required probability= 1/13×1/2=1/26

Answer:

1/26

Step-by-step explanation:

For probability, the numerator is the number of options for the specified property (red card/drawing a queen) and the denominator is the total number of options (in this case 52).

There are 26 red cards in a deck, the the probability of choosing a red card is \(\frac{26}{52}\) or \(\frac{1}{2}\).

There are 4 queens in a deck, so the probability of choosing a queen is \(\frac{4}{52}\) or \(\frac{1}{13}\).

To find the probability of getting these both, multiply the results, giving \(\frac{1}{26}\).

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Answer:

y=5x+13

Step-by-step explanation:

when x=-3, y=-2, and when x=-2,  y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.

Answer:

-3(3y-1)

Step-by-step explanation:

−9y−3

Factor out 3.

3(−3y−1)

Rearrange Terms.

-3(3y-1)

The total interest Brady will pay when his debt is paid off is $ 2020.00

Given data ,

To calculate the total interest Brady will pay when his debt is paid off, we can use the following steps:

Calculate the total amount Brady will pay towards the credit card debt over 39 months by multiplying the monthly payment of $180 by 39:

Total payments = Monthly payment * Number of months

Total payments = $180 * 39

Total payments = $7020.00

Subtract the original debt amount from the total payments to find the total interest paid:

Total interest = Total payments - Original debt amount

Total interest = $7020.00 - $5000.00

Total interest = $2020.00

Hence , the correct answer is option C: $2020.00, which represents the total interest Brady will pay when his debt is paid off.

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What is modulus ?
In complex analysis, the modulus of a complex number z = a + bi is a measure of its distance from the origin in the complex plane. Specifically, the modulus is defined as |z| = sqrt(a^2 + b^2), where sqrt denotes the square root. Geometrically, |z| represents the length of the line segment from the origin to the point (a, b) in the complex plane.

Explanation:

The equation |x| = 2 represents the absolute value of x equals 2.

The graph of this equation will be a V-shaped graph that intersects the x-axis at x = -2 and x = 2, and the y-axis at y = 2. The vertex of the V-shaped graph is at the origin (0, 0).

Visually, the graph will look like two lines that start at the origin and extend upwards and downwards at a 45-degree angle, forming a V-shape. The two lines will be symmetric to the y-axis, meaning that the left half of the graph will be a mirror image of the right half.

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Answer:

191cm^2

Step-by-step explanation:

Answer:

1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant

2. The polynomial is easier to evaluate when it is written in Horner form:

 f(x) = ((x -4)x +1)x +6

To show that 2 is a zero, we want to find f(2):

 f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0

 f(2) = 0, so 2 is one of the zeros of this function

3.  Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...

 x = 2 (from above), x = 3, x = -1 (from our factorization)

4. In factored form, the polynomial can be written ...

 f(x) = (x +1)(x -2)(x -3)

The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).

The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.

There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.

Answer:

the correct answer is 100

Answer:

K5.60.

Step-by-step explanation:

Answer:

2q+6

Step-by-step explanation:

So basically, you would do this.

-2q-6+6q+12-2q

Next

-4q+6q = 2q

12-6=6

2q+6

Answer:

2q + 6

Step-by-step explanation:

To simplify, we will use the distributive property.

-(2q + 6) simplifies to -2q - 6 (In this case we are distributing the - sign or -1)

3(2q + 4) simplifies to 6q + 12

So if we recombine: -2q - 6 + 6q + 12 - 2q

Let's combine like terms (q's with q's, numbers with numbers)

-2q + -2q + 6q = 2q

-6 + 12 = 6

So if we recombine: 2q + 6

Answer

(7 - 4n) × 6 = 42 - 24n

Explanation

(7 - 4n) × 6

= 6 (7 - 4n)

= 42 - 24n

Hope this Helps!!!

Answer: 7

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

$10 ÷ 8 = $1.25 ($1.25 per inch)

$1.25 x 16 = $20

A 16 inch pizza will sell for $20

Hope this helped :)

Financial advantage (disadvantage) of making the 40,000 starters instead of buying them from an outside supplier is: $89,700.

Here, we have,

Financial advantage (disadvantage)

First step is to calculate the relevant cost of making starters

Relevant cost= Direct materials+ Direct labor+ Variable manufacturing overhead+ Supervision

Relevant cost=($4×69,000)+ ($3.20×69,000) +($0.60×69,000) + $117,300

Relevant cost=$276,000+$220,800+$41,400+$117,300

Relevant cost=$655,500

Second step is to calculate the relevant cost of buying starters

Relevant cost=$10.80 × 69,000

Relevant cost=$745,200

Third step is to calculate the financial advantage

Financial advantage=$745,200-$655,500

Financial advantage=$89,700

Therefore the financial advantage is $89,700.

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