a polyhedron has 24 edges and 12 vertices. how many faces does it have?

Answer:

mag sagot ka wag ka puro brainly

Answer:

$6.50

Step-by-step explanation:

$30-$23.50=$6.50

Answer:

r = \(2\sqrt{5}\)

\((x - 3)^{2} + ( y - 2)^{2} = 20\)

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

\(r^{2}\) = \({(3 - 5)^{2} + (2 + 2)^{2} }\)

    =  \((-2)^{2} + 4^{2}\)

    =  4 + 16 = 20

r = \(\sqrt{20 } = 2\sqrt{5}\)

Equation of circle:   \((x - 3)^{2} + ( y - 2)^{2} = 20\)

Answer:

Radius: \(2\sqrt{5}\)

Equation of circle: \((x-3)^2+(y-2)^2=20\)

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

\(r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}\)

The equation of a circle with radius \(r\) and center \((h, k)\) is given by:

\((x-h)^2+(y-k)^2=r^2\).

What we know:

Substituting known values, we get:

\((x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}\)

Answer: C. 13/3

Step-by-step explanation:

\(slope=\frac{rise}{run} =\frac{y}{x} =\frac{13}{3}\)

The statement that is most likely to be true is "The present value factor is always less than 1, given that r < 0."

The future value factor is a multiplier that represents the growth or accumulation of a present value to a future value based on an interest rate (r) and time period. However, the future value factor is not always greater than 1, given that r > 0. The future value factor can be greater than 1 or less than 1, depending on the combination of interest rate and time.

Similarly, the present value factor represents the discounting of future cash flows to their present value. When the interest rate (r) is negative (r < 0), the present value factor will be less than 1. This is because negative interest rates imply a discounting effect, reducing the value of future cash flows to a lower present value.

Therefore, the statement that the present value factor is always less than 1, given that r < 0, is the most likely to be true, as it aligns with the concept of present value and the discounting effect of negative interest rates.

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Hello!

In order to simplify this expression, we should plug in the values of the variables.

v=u+at

60=u+6*8

simplify:

60=u+48

subtract 48 from both sides

60-48=u

12=u

Hence, u=12

Hope everything is clear.

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:-)

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Answer:

HECF

Step-by-step explanation:

I FOUND THIS FUN BUT I DONT KNOW IF ITS RIGHT

The average of the other two numbers is 2.5 when the average of the four different positive whole numbers is 4, and the difference between the largest and smallest numbers is as large as possible.

To find the average of the other two numbers when the average of four different positive whole numbers is 4 and the difference between the largest and smallest numbers is as large as possible, let's analyze the scenario.

Since the average of the four numbers is 4, their total sum is 4 multiplied by 4, which is 16.

To maximize the difference between the largest and smallest numbers, we need to consider the extreme cases. Let's assume the smallest number is 1, and the largest number is x.

Therefore, the sum of the two remaining numbers would be 16 - 1 - x = 15 - x.

To maximize the difference between the largest and smallest numbers, we want to minimize the sum of the two remaining numbers. This means we should choose the two numbers to be as close to each other as possible.

If we select the two numbers to be consecutive integers, their sum would be minimized. Let's say the two numbers are a and a + 1.

The sum of the two numbers would be a + (a + 1) = 2a + 1.

We want this sum to be as small as possible, so we should choose the smallest possible value for 'a.' In this case, a = 2.

Therefore, the two numbers are 2 and 3, and their sum is 2 + 3 = 5.

To find the average of these two numbers, we divide their sum by 2 (the number of values).

The average of the other two numbers is 5 divided by 2, which is:

**Average = 5/2 = 2.5**

Thus, the average of the other two numbers is 2.5 when the average of the four different positive whole numbers is 4, and the difference between the largest and smallest numbers is as large as possible.

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The velocity of the boat is 7.6 m/s north.

The net force on the rope is 120 Newtons to the east.

The plane's true velocity is 44.7 m/s west and 10.8 m/s north.

The net force vector on the box is 72.2 N east and 44.2 N south.

1. To find the velocity of the boat, we need to consider the vector addition of the boat's velocity and the river current's velocity.

Let's assume the north direction as positive. The boat's velocity is 4.5 m/s north, and the river current's velocity is 3.1 m/s north. To find the velocity of the boat, we add these two vectors together:

Boat's velocity + River current's velocity = 4.5 m/s north + 3.1 m/s north

Adding the magnitudes: 4.5 m/s + 3.1 m/s = 7.6 m/s

Since both velocities are in the same direction (north), we can simply add their magnitudes to get the resulting velocity. Therefore, the velocity of the boat is 7.6 m/s north.

2. To find the net force on the rope in a tug-of-war scenario, we need to subtract the force exerted in one direction from the force exerted in the opposite direction.

One side pulls to the east with a force of 1100 Newtons, while the other side pulls to the west with a force of 980 Newtons. To find the net force, we subtract the force exerted to the west from the force exerted to the east:

Net force = Force to the east - Force to the west = 1100 N - 980 N

Net force = 120 N to the east

The net force on the rope is 120 Newtons to the east.

3. To find the plane's true velocity, we need to consider the vector addition of the plane's velocity and the wind's velocity.

Let's assume the west direction as positive. The plane's velocity is 44.7 m/s west, and the wind's velocity is 10.8 m/s north. To find the plane's true velocity, we add these two vectors together:

Plane's velocity + Wind's velocity = 44.7 m/s west + 10.8 m/s north

To add these vectors, we need to consider their components in the x-axis (east-west) and y-axis (north-south) directions:

In the x-axis direction:

Plane's velocity in the x-axis = 44.7 m/s (since it is west)

Wind's velocity in the x-axis = 0 m/s (since it is north)

In the y-axis direction:

Plane's velocity in the y-axis = 0 m/s (since it is west)

Wind's velocity in the y-axis = 10.8 m/s (since it is north)

Now we can add the x-axis and y-axis components separately:

Plane's velocity in the x-axis direction = 44.7 m/s + 0 m/s = 44.7 m/s west

Plane's velocity in the y-axis direction = 0 m/s + 10.8 m/s = 10.8 m/s north

Therefore, the plane's true velocity is 44.7 m/s west and 10.8 m/s north.

4. To find the net force vector on the box, we need to add the force vectors acting on it.

Jack Fortin pushes south with a force of 44.2 Newtons, and Elliot pushes east with a force of 36.1 Newtons. To find the net force vector, we add these two vectors together:

Net force vector = Jack Fortin's force vector + Elliot's force vector

The force vectors have different directions, so we need to consider their components in the x-axis (east-west) and y-axis (north-south) directions:

Jack Fortin's force vector in the x-axis direction = 36.1 N east

Jack Fort

in's force vector in the y-axis direction = -44.2 N south (negative because it is in the opposite direction of the positive y-axis)

Elliot's force vector in the x-axis direction = 36.1 N east

Elliot's force vector in the y-axis direction = 0 N (since it does not have a component in the y-axis direction)

Now we can add the x-axis and y-axis components separately:

Net force vector in the x-axis direction = 36.1 N east + 36.1 N east = 72.2 N east

Net force vector in the y-axis direction = -44.2 N south + 0 N = -44.2 N south

Therefore, the net force vector on the box is 72.2 N east and 44.2 N south.

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We can expect the mean length of ears in the next generation to be 31.6 cm.

It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.

Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:

x' = µ + h2 * (x - µ)

Substituting the given values, we get:

x' = 28 + 0.70 * (34 - 28) = 31.6 cm

Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.

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The statement "the coefficient of determination measures the variation in the dependent variable that is explained by the regression model" is true because coefficient of determination, or R-squared, measures the proportion of variance in the dependent variable that is explained by the independent variables in a regression model.

The coefficient of determination, or R-squared, is a statistical measure that evaluates the goodness of fit of a regression model. It quantifies the amount of variance in the dependent variable that can be explained by the independent variables in the model. R-squared ranges from 0 to 1, where a value of 0 means that none of the variation in the dependent variable is explained by the model, while a value of 1 indicates that all the variation is explained.

Therefore, R-squared is useful in assessing the predictive power of a model, and higher values are generally preferred. However, it is important to note that R-squared alone does not guarantee a good model, and other factors such as model assumptions and outliers should also be considered.

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To determine which workstation the person is facing in the south-easterly direction, we would need additional information or a specific reference point.

The orientation of workstations within a workspace can vary, and without a specific layout or reference point, it is difficult to identify the exact workstation facing the south-easterly direction.

If you have a diagram or layout of the workspace, please provide more details or reference points, such as the orientation of other workstations or any landmarks within the workspace. With that additional information, I can assist you in identifying the workstation facing the south-easterly direction.

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At which WS work station is the person facing south easterly direction?

Therefore, we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.

To determine the required sample size, we need to use the formula n = [(z * σ) / E]^2, where z is the z-score for the desired level of confidence (e.g. 1.96 for 95%), σ is the standard deviation of the population (which we don't know, so we can use a conservative estimate of 1), and E is the desired margin of error (0.02 in this case). Plugging in these values, we get n = [(1.96 * 1) / 0.02]^2 = 9604. So we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.
To determine the required sample size for standardizing grade point averages on a scale between 0 and 4 with a margin of error of 0.02, we can use the formula n = [(z * σ) / E]^2, where z is the z-score for the desired level of confidence, σ is the standard deviation of the population, and E is the desired margin of error. Assuming a 95% confidence level and a conservative estimate of σ = 1, we find that we would need at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean.

Therefore, we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.

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Answer:9 days

Step-by-step explanation:A lot of division is required, but because 8.75 probably isn't an answer, I rounded up to 9.

The ratio of the height of shape a to shape c is 2 : 5

From the question, we have the following parameters that can be used in our computation:

Area A = 4

Area B = 25

Take the square root of both

So, we have

Length A = 2

Length B = 5

So, we have

Ratio = 2 : 5

Hence, the ratio is 2 : 5

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Hey there! I'm happy to help!

Squaring a number is when you multiply it by itself. You represent this with an exponent, which is a little number above the number that you multiply by itself. When you square a number, this exponent is two.

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

The square root is basically just doing this backwards. It is finding the number that can be multiplied by itself to equal that number. You represent this with the √ symbol.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=10

We know that 8 multiplied by itself is equal to 64. This means that the square root of 64 is 8.

I hope that this helps you out! Have a wonderful day! :D

CD with the points at the end (like a number line) with the numbers C, D go in the last box.

The ones in forms of angles with the letters C, T, M in the first one

The correct figure matched to each label is given below.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

We have 5 diagrams.

The first diagram represents the segment CD.

The second diagram represents a ray CD.

The angle measure of CTM is represented by the third diagram.

The angle measure of TCM is represented by the fifth diagram.

And the free line from the both sides CD is given in the fourth diagram.

The matched images are given in the attached image.

∠CTM = Image 1 (attached)

CD = Image 2 (attached)

Therefore, the matched images are given above.

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Answer:

The answer is A.

Step-by-step explanation:

The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.  

Answer:

Answer is below

Step-by-step explanation:

C = 5/9(F - 32)        This equation is used to convert from Fahrenheit to Celsius on the temperature scale.

An example is listed below

C = 5/9(32 - 32)             Subtract in the parentheses

C = 5/9(0)                       Multiply

C = 0                       When it is 32 degrees Fahrenheit, it is 0 degrees Celsius

Answer:

you answer the question

Step-by-step explanation:

hope this help

Answer: c

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

There are 4 dots in categories 0 and 1; 9 dots in categories 2 and 3; and 2 dots in categories 4 and 5. The histogram with bar lengths 4, 9, and 2 is the appropriate choice.

Answer:

it's either 32 or 16f I don't know though

Answer:

16f

Step-by-step explanation:

We can combine like terms here by adding the coefficients:

9f + 7f = (9+7)f = 16f

Answer:

5 dias

Step-by-step explanation:

10/2= 5

Answer:

Tardarán:

5 días

Step-by-step explanation:

Se trata de una regla de tres:

2 obreros son a 10 días

4 obreros son a W días

W = 10*2/4

W = 5  

In order to find the number of weeks w it will take Anita to reach her goal, we need to solve the following equation for w:

So, we can apply the same operations on both sides of the equation, until we isolate the variable w and find its value.

We obtain:

Therefore, Anita will have saved enough money for the snowboard in 5 weeks.

Answer:

The investment will be worth $450 after 25.255 years which is about 25 years and 3 months.

Step-by-step explanation:

You have to use the following formula to calculate the number of years:

t=ln(A/P) / n(ln(1 + r/n)), where:

t=time in years

A=Accrued amount=450

P=Principal amount=100

n=number of compounding periods per time period=4

r=interest rate=0.06

Now, you can replace the values in the formula:

t=ln(450/100)/4(ln(1+(0.06/4)))

t=ln(4.5)/4(ln(1.015))

t=1.50/0.059

t=25.255

According to this, the answer is that the investment will be worth $450 after 25.255 years which is about 25 years and 3 months.

1.  [1  2  3]   [x1]   [2]

 [0  1 -1]   [x2] = [8]

 [1  2  1]   [x3]   [4]

2. x3 equals to -11/3.

To solve for x3 using Cramer's rule, we need to find the determinant of the coefficient matrix and then form three additional matrices by replacing the third column of the coefficient matrix with the constants vector. The determinant of the coefficient matrix is:

| 1  2  3 |

| 0  1 -1 |

| 1  2  1 | = 1(1-4)-2(3-1)+3(2-2) = -3

Next, we form three matrices by replacing the third column of the coefficient matrix with the constants vector:

 [1  2  2]   [2]

 [0  1  8] = [8]

 [1  2  4]   [4]

 [1  2  3]   [2]

 [0  1 -1] = [8]

 [1  2  1]   [4]

 [1  2  3]   [2]

 [0  1 -1]   [8]

 [1  2  4]   [4]

The determinants of these matrices are:

| 1  2  2 |    | 1  2  3 |    | 1  2  3 |

| 0  1  8 | = -4| 0  1 -1 | = -3| 0  1 -1 | = 11

| 1  2  4 |    | 1  2  1 |    | 1  2  4 |

Therefore, x3 can be calculated as:

x3 = Det(B)/Det(A) = 11/-3 = -11/3

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Answer:

4- 4Step-by-step explanation:

The οutput axis is independent οf what the input is, as the slοpe is zerο in the graph.

A graph is a structure made up οf a cοllectiοn οf things, where sοme οbject pairs are cοnceptually "cοnnected." The items are represented by mathematical abstractiοns knοwn as vertices, and each pair οf cοnnected vertices is referred tο as an edge.

Here the given :

The graph belοw was drawn with οutput οn the vertical axis and input οn the hοrizοntal axis,

⇒ Slοpe = 0 (can be seen frοm graph),

Frοm the graph, y = 4 is the graph's equatiοn, and the slοpe οf the graph is zerο. The result will always be the same, regardless οf the input. Because the οutput is unifοrm thrοughοut, the input dοesn't really care what happens tο it.

Therefοre, the οutput axis is independent οf what the input is, as the slοpe is zerο in the graph.

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