DETAILS PREVIOUS ANSWERS SCALCET8 8.1.033. Sketch the curve with equation x2/3 + y2/3 = 4 and use symmetry to find its length. = 15

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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When we subtract a velocity vector from another velocity vector, the result is B. another velocity.

When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.

It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.

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Answer:

A.  see below

B.  500 yearbooks

C.  1562 yearbooks

D.  $13,100

Step-by-step explanation:

A.  The first term (7500) is probably a flat fee for the production of yearbooks.  No matter how many yearbooks you will always have to pay that amount.  The second term (8n) is the cost of each individual yearbook.

B.  For this problem you need to use the equation.  Since the number given to us is an amount of money, it will go into the variable C.  Solve for n.

C = 7500 + 8n

11,500 = 7500 + 8n

4,000 = 8n

500 = n

You can purchase 500 yearbooks.

C.  For this problem, the amount is again in dollars so it will go into the variable C.  Solve for n.

C = 7500 + 8n

20,000 = 7500 + 8n

12,500 = 8n

n = 1,562.5

Since the number is not a whole number, round down.  You can purchase 1562 yearbooks.

D.  For this problem, the given value is not in dollars so the value will go into n.  Solve for C.

C = 7500 + 8n

C = 7500 + 8(700)

C = 7500 + 5600

C = 13,100

The cost of 700 yearbooks would be $13,100.

The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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Answer:

5.25 inches or \(5 \frac{1}{4}\) inches

Step-by-step explanation:

I believe that the question is what do they multiply to..? If so, we start by making them both in decimal form:

7 / 2 = 3.5

3 / 2 = 1.5

Now, we multiply:

3.5 * 1.5 = 5.25

If you want fraction form, we can turn .25 to 1/4.

Fraction form: \(5 \frac{1}{4}\)

Answer:

10 Quarts

Step-by-step explanation:

First, convert 1/2 gallons into quarts. 1/2x4=2. Then convert 1 1/4 to quarts. 1 1/4x4=5. Finally, add it all togher. 2+5+3=10. So, the answer is 10 quarts.

The fact that Richard Nixon won the 1968 election by a narrow margin showed that the political landscape and public sentiment were divided during that time.

The close outcome of the election suggests that there were significant differences in voter preferences and that the country was facing various challenges and tensions. Richard Nixon's victory in the 1968 election by a narrow margin indicated a deeply divided political climate and public sentiment. The close outcome of the election implies that the country was grappling with diverse viewpoints and conflicting ideologies.

The 1968 election took place during a tumultuous period in American history, characterized by the Vietnam War, civil rights struggles, social unrest, and generational divisions. These factors contributed to a highly polarized electorate and a fragmented political landscape. Nixon's narrow win demonstrated that there were significant differences in voter preferences and that the nation was grappling with a range of complex issues. The close margin highlighted the challenges faced by political candidates in appealing to a diverse electorate and navigating the complexities of the era.

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Answer:

A

Step-by-step explanation:

Answer:

A) y ≥ 350x + 17,000

Step-by-step explanation:

If 17,000 is the original, you won't multiply or divide it by x. But since it goes up by at least 350 each year you will multiply by x.

So to set it up, you will have 350x + 17,000, and since it's at least, you will have a great than or equal to sign (≥)

y ≥ 350x + 17,000

According to the rule of 72, she have half amount of money that she has now in (a) about 8.8 years ago.

Suzette opened a CD 10 years ago at an interest rate of 8.2%, which is compounded semi-annually.

We have to find the time Suzette will have half the amount of money that she has now,

The "rule-of-72" states that if we divide 72 by "interest-rate", we get the time for number-of-years it takes for the money to double.

In this case, Suzette’s money would double in = 72/8.2 ≈ 8.78 years,

If Suzette had half the amount of money that she has now, then her money would have been halved once. This means that her money would have doubled once before it was halved.

Suzette had half amount of money that she has now about 8.8 years ago,

Therefore, the correct option is (a) about 8.8 years ago.

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The given question is incomplete, the complete question is

Suzette opened a CD 10 years ago at an interest rate of 8.2%, compounded semiannually. according to the rule of 72, when did she have half the amount of money that she has now?

(a) about 8.8 years ago

(b) about 4.1 years ago

(c) about 8.2 years ago

(d) about 4.4 years ago

Answer:

B. 24

Step-by-step explanation:

The first multiple that 8 and 12 have in common is 24. Notice that 48 is also a common multiple; however, 24 is the smallest number that they have in common.

Answer:

$6.43

Step-by-step explanation:

8.50 times 0.30=2.55

8.50-2.55=5.95

5.95 times 0.08=0.476

0.476+5.95=6.426 rounded would be $6.43

When a cylinder is sliced in such a way that the plane passes through the cylinder in a slanted direction without going through either base, the resulting cross section is an elliptical shape.

To visualize this, imagine a cylinder with circular bases. When a plane intersects the cylinder in a slanted direction, it cuts through the curved surface of the cylinder, creating an elliptical cross section.

The exact shape and size of the elliptical cross section will depend on the angle at which the plane intersects the cylinder and the specific orientation of the cylinder. The major axis of the resulting ellipse will be parallel to the slanted direction of the plane, while the minor axis will be perpendicular to it.

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\(\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}\)

Total cards = 52

Total diamond cards = 13

So, probability of getting a card of diamond,

P(diamond) = 13/52 = 1/4

Now,

Total cards with number seven = 4

So, probability of getting a seven,

P(seven) = 4/52 = 1/13

Answer:

Median = 116

Quartiles and median can be calculated from histograms.

From the histogram, we have the following frequency table:

\(\left[\begin{array}{ccc}Score&Frequency&Cumulative\\80 - 90&2.6&2.6&90 - 100&3.4&6&100 - 110&5&11&110 - 120& 5 & 16&120 - 130&3&19&130 - 140& 3 &22 &140 - 150&1.4&23.4& 150 - 160& 1.4 &24.8 & 160 - 170 & 1.4 &26.2 & 170 - 180 & 0.6 & 26.8& 180 - 190 & 0.6 & 27.4 &190 - 200&0.6&28\end{array}\right]\)

(a) The median

Calculate the median class as follows

\(\mathbf{Q_2 = \frac{1}{2}(n)}\)

This gives

\(\mathbf{Q_2 = \frac{1}{2}(28)th}\)

\(\mathbf{Q_2 =14th}\)

The 14th element belongs to 110 - 120 class

The median value is then calculated as:

\(\mathbf{Median = L + \frac{(n/2 -cf)}{f} \times h}\)

Where:

\(\mathbf{n/2 = 14}\)

\(\mathbf{L = 110}\) --- lower limit of the median class

\(\mathbf{cf =11}\) ---- cumulative frequency of the class before the cumulative frequency

\(\mathbf{f = 5}\) ---- frequency of the median class

\(\mathbf{h = 10}\) --- the class size

So, we have:

\(\mathbf{Median = 110 + \frac{14 - 11}{5} *10}\)

\(\mathbf{Median = 110 + \frac{3}{5} *10}\)

\(\mathbf{Median = 110 + 0.6 *10}\)

\(\mathbf{Median = 110 + 6}\)

\(\mathbf{Median = 116}\)

Hence, the median is 116

(b) The lower quartile

Calculate the median class as follows

\(\mathbf{Q_1 = \frac{1}{4}(n)}\)

This gives

\(\mathbf{Q_1 = \frac{1}{4}(28)th}\)

\(\mathbf{Q_1 =7th}\)

The 7th element belongs to 100 - 110 class

The median value is then calculated as:

\(\mathbf{Q_1 = L + \frac{(n/4 -cf)}{f} \times h}\)

Where:

\(\mathbf{n/4 = 7}\)

\(\mathbf{L = 100}\) --- lower limit of the lower quartile class

\(\mathbf{cf =6}\) ---- cumulative frequency of the class before the cumulative frequency

\(\mathbf{f = 5}\) ---- frequency of the median class

\(\mathbf{h = 10}\) --- the class size

So, we have:

\(\mathbf{Q_1= 100 + \frac{7 - 6}{5} *10}\)

\(\mathbf{Q_1= 100 + \frac{1}{5} *10}\)

\(\mathbf{Q_1= 100 + 0.2 *10}\)

\(\mathbf{Q_1= 100 + 2}\)

\(\mathbf{Q_1= 102}\)

Hence, the lower quartile is 102

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They can be parallel (0 common points), can intersect (1 common point) or overlap (infinitely many common points).

Answer:

Check the "explanation" section

Step-by-step explanation:

These are the 3 ways that two lines can relate to one another:

Parallel means they never intersect. They are at the same distance from one another so they never intercept each other.

The intersection of these two lines is at a right angle of 90°.

One line can be two lines. It's just that we can't see the second one since they combined to form one line. And they have an infinite number of common points and x- (or y-) intercepts.

Therefore, these are the ways.

Answer:

a^2+2ab+b^2 is the formula

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

The given sequence is 9, 16, 24, 33. To find the next number, let's look for a pattern in the differences between the terms.

The difference between 16 and 9 is 7, between 24 and 16 is 8, and between 33 and 24 is 9.

The pattern in the differences is that they are increasing by 1 each time. So, the next difference would be 10.

To find the next number, we add the next difference to the last term in the sequence. Adding 10 to 33 gives us 43.

Therefore, the next number in the sequence is 43.

To find the next number in the given sequence, we looked for a pattern in the differences between the terms. We observed that the differences were increasing by 1 each time. Using this pattern, we added the next difference to the last term in the sequence to find the next number.

The next number in the sequence 9, 16, 24, 33 is 43.

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An equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y − 4 = 0 is y = -4x + 4.

To find the equation of a line that passes through a given point and is perpendicular to another line, you can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

In this case, the line 8x + 7y − 4 = 0 has a slope of -7/8. To find the equation of a line that is perpendicular to this line and passes through the point (2, 4), we need to find the slope of the perpendicular line, which is -1/(-7/8) = 8/7. Then, we can use the point (2, 4) and the slope (8/7) to find the y-intercept of the line, which is the value of b in the equation y = mx + b.

Substituting the coordinates of the point (2, 4) and the value of the slope (8/7) into the equation, we get 4 = (8/7) * 2 + b, which can be simplified to 4 = 16/7 + b. Solving for b, we get b = 4 - 16/7 = 28/7 - 16/7 = 12/7.

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Answer:

125 pounds = 2500 five pence

Answer:

Step-by-step explanation

£1.00=100p

The outcome that makes up the event a that the sum of the three faces showing equal 5 is; P(E) = 1/36

There are three dice, thus.

Set the Red die to R.

Set the Blue die to B.

Green Dice should be G.

Now, none of the six potential numbers can be bigger than 3 in order for the sum of the three numbers on all dice to equal 5.

So, P(R) = 3/6.

Now, if P(R) = 3/6, none of the other 2 dice can produce 3 or more because doing so would cause the sum to exceed the necessary 5.

So, P(B) = 2/6.

Now that P(R) and P(B) have been obtained, P(Y) must be 1/6.

As a result, P(E) = 3/6 2/6 1/6 is the result that constitutes the event that the sum of the three faces shown equals 5.

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The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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Answer:

D, C, A, B

Step-by-step explanation:

Find common factor:

60 is the common denominator

2/5=24/60

2/3=40/60

1/4=15/60

1/10=6/60

Answer:

A. 2/5 = 0.4

B. 2/3 = 0.66

C. 1/4 = 0.25

D. 1/10 = 0.1

Arranging them in the box we have

D , C , A , B

Since D is the smallest followed by C followed by A followed by B which is the largest

Hope this helps

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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Answer:

it needed your to focus on school work , homework and work hard to make yourself feel ready