chuck is making a poster about polyhedrons for his math class. he will draw figures and organize them in different sections of the poster. chuck wants to draw three-dimensional figures whose lateral faces are rectangles. he says he can draw prisms and pyramids. do you agree? complete the explanation. no, you do not agree . chuck cannot draw pyramids because the lateral faces of a pyramid are triangles . he can include prisms on his poster since the lateral faces of prisms are rectangles . chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent. is chuck correct? complete the explanation. no, chuck is not correct . the faces of a polyhedron are not polygons. a cylinder is not a polyhedron because none of its surfaces are polygons. it has 2 circular bases and a curved surface.

Answer:

x = 54°

Step-by-step explanation:

90° = 2x-18°

90° + 18° = 2x

108° = 2x

x = 54°

Answer:

x = 54

Step-by-step explanation:

The two angles added together equal 90 degrees because they are  complementary angles.

x - 18 + x = 90

Combine like terms

2x - 18 = 90

add 18 to both sides

2x = 108

Divide each side by 2

x = 54

Fill in for x

54 - 18 + 54 = 90

36 + 54 = 90

90 = 90

This proves that the answer is true.

The required system of equations to express Stevens monthly fee is

22.5 + 0.12 m = c

Given : A flat monthly fee which is charged for Stevens =  $22.5

The cost of each phone call = $ 0.12

Let the cost of each monthly call be represented by the letter m

And the total monthly fee be represented by the letter c

thus according to the question the equation can be expressed as :

22.5 + 0.12 m = c

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Answer:

l=25 cm

Step-by-step explanation:

The perimeter of a rectangle

2(l+w)=70 cm

(l+10)=70/2

l=35-10

l=25

Note : you have no question. So I just assume it

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

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Most common is 7

So

Use distributive law to verify

Verified

GCF is 7

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term

Answer:

x = 30, z = 45, y = 105

Step-by-step explanation:

The lines are straight, so:

x = 30

z = 45

y = 180 - (45 + 30)

So there

The solution of the equation are 8 and -8

The equation is b²/4 + 45 =61

b square by four plus forty five equal to sixty one

b is the variable in the equation

We have to find the solution of the equation

b²/4 = 61-45

b²/4 =16

b²=64

b=±8

Hence, the solution of the equation are 8 and -8

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The two cars are 10.5 kilometers apart, measured in a straight line.

This is calculated by taking the square root of the sum of the squares of the distances traveled by the two cars (3.1 km and 8.3 km). The square root of (3.1² + 8.3²) is 10.47, which can be rounded up to 10.5.

To calculate the distance between the two cars, we first need to calculate the sum of the squares of the distances traveled by the two cars (3.1 km and 8.3 km).

3.1² + 8.3² = 68.49

Next, we take the square root of this sum to get the distance between the two cars in a straight line:

√68.49 = 8.25

Finally, we round this number up to the nearest tenth, giving us the final answer of 10.5 kilometers.

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Step-by-step explanation:

x= 0 y= 5

y=mx+b

5=b

x= -3 y= -4

-4= -3m +5

-3m = -9

m= 3

y= 3x +5

Answer:

$6455.

Step-by-step explanation:

The formula for this investment is:

A = P(1 + r/4)^4t      where P = amount deposited ,  A amount after t years,

                                r = rate (as a decimal fraction).

So we have:

7160.06 = P(1 + 0.026/4)^16

7160.06 = P * 1.109227

P = 7160.06 / 1.109227

  =  $6455.

Answer:

x = -4

Step-by-step explanation:

-12 -12x = 36

add 12 to each side of the equation

-12x = 48

divide both sides by -12

x = -4

Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.

To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula

z = ( x- μ)/ σ

where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get

z = ( 42,000- 40,000)/ 3,000 = 0.67

Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.

thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.

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The correct question is given below-

A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?

Answer:

y = x² + 2x - 15

Step-by-step explanation:

Given the zeros are x = 3 and x = - 5 then the factors are (x - 3) and (x + 5)

The polynomial is then the product of its factors, thus

y = (x - 3)(x + 5) ← expand using FOIL

y = x² + 2x - 15

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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We are asked to determine the angle "x" that will produce arclength of 6 inches in a circle with a radius of 4 inches. To do that we will use the following formula:

Where:

Now, we solve for the angle by dividing both sides by "r":

Now, we plug in the values:

Now, we solve the operations:

Therefore, the angle is 1.5 radians.

Answer:

Classify the sequence {1, 6, 11, 16, 21, …}.

The pattern is +5:

1 + 5 = 6

6 + 5 = 11

11 + 5 = 16

16 + 5 = 21

21 + 5 = 26

And so on

Step-by-step explanation:

You're welcome

The volume of the cylinder is approximately 622 cubic meters.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height of the cylinder.

Given that the diameter of the cylinder is 6 m, we can calculate the radius by dividing the diameter by 2:

r = 6 m / 2 = 3 m

Using the value of π as 3.14, we can substitute the values into the volume formula:

V = 3.14 * (3 m)^2 * 22 m

Simplifying the expression:

V = 3.14 * 9 m^2 * 22 m

V = 3.14 * 198 m^3

V ≈ 621.72 m^3

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In the diagram, the value of the last angle will be 158°.

It should be noted that the total angle is a quadrilateral is 360°.

In this case, the value of the last angle will be:

= 360° - (76° + 110° + 116°)

= 360° - 302°

= 158°

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Answer:

A 30 year fixed rate mortgage at 4.5% with principal of $150,000 has a monthly payment of $760 per month. After

30 years, what is the total amount spent on interest?

A) $6,750

B) $123,600

c) $156,750

D) $273,600

Step-by-step explanation:

Answer: 0.8982

Step-by-step explanation:

math

Answer:

x ≈ 0.898

Step-by-step explanation:

using the rule of logarithms

log \(x^{n}\) = n log x

given

\(6^{x}\) = 5 ( take natural logarithm ln of both sides )

ln \(6^{x}\) = ln 5

x ln 6 = ln 5 ( divide both sides by ln 6 )

x = \(\frac{ln5}{ln6}\) ≈ 0.898 ( to the nearest thousandth )

Answer: E

Step-by-step explanation:

Answer:

Spiders=8

Ants=12

Step-by-step explanation:

Spider(s)=8 legs

Ants(a)=6 legs

Total legs=136

Total heads=20

8s+6a=136 (1)

s+a=20 (2)

From (2)

s=20-a

Substitute 20-a into (1)

8s+6a=136

8(20-a)+6a=136

160-8a+6a=136

160-2a=136

-2a=136-160

-2a=-24

a= -24/-2

a=12

Substitute a=12 into (2)

s+a=20

s+12=20

s=20-12

s=8

Answer:

1- OII

2- ONI

3-OII

4-ONI

5-ONI

6-ONI

7-ONI

8-OII

9-OII

10-OII

I'm not sure if it's all right :,)

Answer:

The real numbers are divided into two large branches that are

Step-by-step explanation:

Sorry, but I don't understand the question. Maybe a translation would help?

Answer:

Se pueden dividir en números racionales e irracionales.

Step-by-step explanation:

They can be divided into rational and irrational numbers.

- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

We have,

Nesting Gift Boxes:

The volume of each box can be determined by multiplying the area of the hexagonal base by the height of the box.

Since the height is not specified, we can assume that all three boxes have the same height.

Comparing the volume of each box:

The volume of the large box is larger than the medium box, and the volume of the medium box is larger than the small box.

The ratio of the volumes will be proportional to the cube of the ratio of the corresponding side lengths.

Similar Pyramids:

a. The scale factor between two similar pyramids can be found by comparing their corresponding heights.

In this case, the scale factor is 9/6 = 3/2.

b. The ratio of their surface areas can be found by comparing the square of their corresponding side lengths.

Since the surface area is proportional to the square of the side length, the ratio will be (9/6)^2 = 3/2.

c. The ratio of their volumes can be found by comparing the cube of their corresponding side lengths.

Since the volume is proportional to the cube of the side length, the ratio will be (9/6)³ = 27/8.

Larger Hamster Ball:

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

To estimate the volume of the larger hamster ball, we can use the ratio of the cube of their diameters since the volume is proportional to the cube of the diameter.

The ratio of their volumes will be (14/8)³ = 3.375.

Multiplying this ratio by the volume of the smaller ball (268 in³), we estimate that the volume of the larger hamster ball is approximately 268 in³ x 3.375 ≈ 905 in³.

Error Analysis:

The classmate's error is assuming a similarity between the two rectangular prisms based solely on the ratio of their side lengths. Similarity requires that all corresponding angles are equal, not just the side lengths.

In this case, the two prisms have different proportions in terms of their width and height, and therefore they are not similar.

Similar Cylinders:

The lateral area of a cylinder is proportional to its height.

Comparing the lateral areas of the two similar cylinders (64 m² and 144 m²), the ratio of their heights will be √(144/64) = 3/2.

Since the ratio of the heights is 3/2, the ratio of their volumes will also be (3/2)^2 = 9/4.

Given that the volume of the larger cylinder is 216 m², the volume of the smaller cylinder will be (9/4) x 216 m² = 486 m².

Similar Prisms:

a. The ratio of the heights of two similar prisms can be found by taking the cube root of the ratio of their volumes.

In this case, the ratio of their volumes is 5000 ft³ / 135 ft³ = 37.04.

Taking the cube root of 37.04, we find that the ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases will be the square of the ratio of their side lengths.

Since the area of the base is proportional to the square of the side length, the ratio will be \((5000 ft^3 / 135 ft^3)^{2/3}\)= 7.07.

Thus,

- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

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The correct answer is a box numbered x can contain a box numbered y if capacity[x] is divisible by capacity[y]. The containment relationships can be determined based on this criterion.

In the given scenario, Amazon ships several parcels each day to multiple locations, and the dispatch center has conveyor belts where the parcel boxes are placed. The boxes in the center are numbered from 0 to (n - 1), and the capacity of each box is denoted by capacity[i]. A box numbered x can contain a box numbered y if the capacity[x] is divisible by capacity[y].

To better understand the situation, let's consider an example. Suppose we have 5 boxes numbered from 0 to 4, and their respective capacities are as follows:

capacity[0] = 10

capacity[1] = 20

capacity[2] = 5

capacity[3] = 2

capacity[4] = 1

Based on the given conditions, the box numbered 0 can contain any other box since any number is divisible by 1. The box numbered 1 can contain boxes 0 and 2, as 20 is divisible by 10 and 5. The box numbered 2 can contain only box 4 since 5 is divisible by 1. The box numbered 3 can contain only box 4 as 2 is divisible by 1. Finally, the box numbered 4 cannot contain any other box since it has the smallest capacity.

So, in this case, the possible containment relationships are as follows:

0 can contain: 1, 2, 3, 4

1 can contain: 0, 2

2 can contain: 4

3 can contain: 4

4 cannot contain any other box

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