Use isometric dot paper to sketch each prism.

rectangular prism 2 units high, 3 units long, and 2 units wide

Answer:

Step-by-step explanation:

Write 5.54 million in ordinary form

5.54 * \(10^{6}\) =

5540000

or

5.54 * 1000000 =

5540000

Answer:

D. -2

Step-by-step explanation:

19 = x + 12 + 11 + x

Solve for x

Combine like terms

x + x = 2x

12 + 11 = 23

We now have

19 = 23 + 2x

Subtract 23 from both sides

19 - 23 = -4

23 - 23 cancels out

We now have -4 = 2x

Divide both sides by 2.

-4/2 = -2

2x/2 = x

x = -2

Answer:

x = 6

Step-by-step explanation:

We are given ABCD, which the problem gives as a parallelogram.

We are also given that the measure of  ∠B is 12x + 3 and the measure of  ∠A is 105°.

Recall that a parallelogram is made up of 2 pairs of parallel sides. This means that CB is parallel to DA and CD is parallel to BA.

Based on the above information, we know that:

m∠B + m∠A = 180°

Substitute what we know into the equation (we can disregard the degree sign).

12x + 3 + 105 = 180

Add the numbers together

12x + 108 = 180

Subtract.

12x = 72

Divide.

x = 6

So, x is equal to 6.

The volume of the toy chest and of by the rotation of the triangular region of the graph are as follows;

First part;

Second part;

(a) The 3D solid formed is a cone

(b) The volume of the solid formed by the rotation of the triangle about the x-axis is approximately 50.3 cubic units

(c) The volume of the solid if the triangle is rotated about the y-axis is approximately 37.7 cubic units

The volume of a solid indicates the space occupied by the solid in a room or place

The volume of the toy chest is a composite figure consisting of a half cylinder and a rectangular prism

Volume of the cylinder is given by the formula;

\(V_c = \dfrac{\pi \cdot D^2}{8} \times L\)

Where;

D = The width of the rectangular prism, W = 4 ft.

L = The length of the prism = 15.3 feet

Therefore;

\(V_c = \dfrac{\pi \times 4^2}{8} \times 15.3 \approx 96.1\)

The volume of the rectangular prism is given by the formula, \(V_r\) = L·W·H

Where;

H = the height of the prism = 6 ft.

Therefore;

\(V_r\) = 15.3 × 4 × 6 = 367.2

The volume of the toy chest is therefore; V = \(V_c\) + \(V_r\)

Which gives;

The volume of the toy chest, V = 367.2v ft.³ + 96.1 ft.³ = 463.3 ft³

Second part;

a) The name of the solid formed from the rotation of the triangle around the x-axis or y-axis is a cone

b) The volume of a cone is found by using the formula;

\(V = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h\)

When the triangle is rotated about the x-axis, h = 3

r = 4

Therefore;

\(V_x = \dfrac{1}{3} \times \pi \times 4^2 \times 3 \approx 50.3\)

The volume of the solid formed by rotating the triangle around the x-axis is approximately 50.3 cube units

c) When the triangle is rotated about the y-axis, the radius, r = 3, and the height, h = 4

The volume is therefore;

\(V_y = \dfrac{1}{3} \times \pi \times 3^2 \times 4 \approx 37.7\)

The volume of the cone formed when the triangle is rotated around the y-axis is approximately 37.7 square unite

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The coordinates are simple. Hope you understand this and you can draw it out.

Answer:

(-1, 2/3).

Step-by-step explanation:

Taking the derivative of f, we get f' = x^2 - 1 = 0.  Thus, x = -1 and x = +1.

At the relative max, y = (1/3)(-1)^3 - (-1) = -1/3 + 1 = 2/3.

The relative maximum is at (-1, 2/3).

The probability that every team loses at least one game and wins at least one game is \(\frac{903}{1024}\).

Let’s label the 8 teams as A, B, C, D, E, F, J, H.

First, we determine the total number of games played.

Because of every pair of teams plays exactly one game, so every team plays 7 games (one against each of the other 7 teams). And there are 8 teams, so it seems as if there are 8 x 7 = 56 games, except that every game has been counted twice in this total. So, there are in fact \(\frac{8.7}{2}\)= 28 games played.

Because of there are 28 games played and there are 2 equally likely outcomes for every game, so there are \(2^{28}\) possible combinations of outcomes.

To find out the probability that every team loses at least one game and every team wins at least one game, we determine the probability that there is a team that loses 0 games or a team that wins 0 games and subtract this probability from 1.

And because we know that the total number of possible combinations of outcomes, we determine the probability by counting the number of combinations of outcomes in where there is a team that loses 0 games or a team that wins 0 games, or both.

To find out the number of combinations of outcomes in where there is a team which wins all of its games, we mark that there are 8 ways to choose this team. Once a team is chosen (we call this team X), the results of the 7 games played by X are determined (X wins all of these) and the outcomes of the remaining 28 − 7 = 21 games are undetermined.

And because of there are two possible outcomes for each of these 21 undetermined games, so there are 8 x \(2^{21}\) combinations of outcomes in which there is a team that wins all of its games. Similarly, there are 8 x \(2^{21}\) combinations of outcomes in which there is a team that loses all of its games.

Now, we note that there might be combinations of outcomes that are involved in both of these counts. There might be combinations of outcomes in where there is a team that wins all of its games and in where there is a team that loses all of its games.

Since this total has been included in both sets of 8 x \(2^{21}\) combinations of outcomes, we have to determine this total and subtract it once to leave these combinations included exactly once in our total.

To determine the number of combinations of outcomes in this case, we choose a team (X) to win all of its games and a team (Y) to lose all of its games.

Once X is selected, the outcomes of its 7 games are all found (X wins).

Once Y is selected, the outcomes of its 6 additional games are all found (Y loses these 6 games plus the game with X that has already been found).

The outcomes of the remaining 28 − 7 − 6 = 15 games are undetermined.

Therefore, the number of combinations of outcomes is 8 x 7 x \(2^{15}\) since there are 8 ways of choosing X, and then 7 ways of choosing Y (any team but X), and then \(2^{15}\) combinations of outcomes for the undetermined games.

So, there are 8 x \(2^{21}\) + 8 x \(2^{21}\) − 8 x 7 x \(2^{15}\) combinations of outcomes in where either one team loses 0 games or one team wins 0 games (or both).

Accordingly, the probability that one team loses 0 games or one team wins 0 games is

\(\frac{8.2^{21} + 8.2^{21} - 8.7.2^{15} }{2^{28} }\\\) = \(\frac{2^{15} (8.2^{6} + 8.2^{6} - 8.7)}{2^{28} }\) = \(\frac{2^{3} . 2^{6} + 2^{3} . 2^{6} - 2^{3} . 7}{2^{13}}\) = \(\frac{2^{6} + 2^{6} - 7}{2^{10}}\)

It means that the probability that every team loses at least one game and wins at least one game is 1 − \(\frac{64+64-7}{1024}\) = 1 − \(\frac{121}{1024}\) = \(\frac{903}{1024}\).

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

37

Step-by-step explanation:

9+4*7

9+28

37

Answer:

b\( {}^{6} \)

Step by Step Solution

STEP 1:

1.1 b\( {}^{3} \)raised to the 2 nd power = b(\( {}^{( 3 * 2 )} \)= b\( {}^{6} \)

Final result :

b\( {}^{6} \)

A linear equation has only more than one additional, that may be expressed as \(\bold{ax + by = c}\), and the further discussion can be defined as follows:

Please find the attached file of the graph.

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To solve:

We multiply the denominator by 5:

To write it as a simplified fraction, we can note that 4 * 6 = 24

Then:

Answer:

213 ft²

Step-by-step explanation:

\(\textcolor{steelblue}{\text{Area of rectangle = length}\times\text{breadth}}\)

Area of figure

= area of rectangle A + area of rectangle B +area of rectangle C

Rectangle A

Length= 12 ft

Breadth= 8 ft

Area= 12(8)= 96 ft²

Rectangle B

Length= 3 ft

Breadth= 3 +8= 11 ft

Area= 3(11)= 33 ft²

Rectangle C

Length= 4 ft

Breadth= 21 ft

Area= 4(21)= 84 ft²

Thus, area of figure

= 96 +33 +84

\( = \textcolor{red}{213 \: \text{ft}^{2} }\)

Answer:

slope = gradient...

gradient (m) = ∆y

∆x

= -4 - -2

2 - -3

= -4 + 2

2 + 3

= -2

5

Answer:

I'm not sure if i'm doing this right, but I got 75

Step-by-step explanation:

(5-2)5*5^1 =  75

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \(\mathbf{d(n)=8+2n\:for\:n>1}\)

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: \(a_n=a_1+(n-1)d\)

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

\(a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n\)

So, nth term is: \(a_n=8+2n\)

In the options below, the only correct answer is option D. so, we can write nth term as: \(d(n) = 8 + 2n\: for\: n > 1\)

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \(\mathbf{d(n)=8+2n\:for\:n>1}\)

Option D is correct option

Answer:

D) 8 + 2n for n > 1

Step-by-step explanation:

Answer:

(0.5,-3.5)

Step-by-step explanation:

Find the mean of the respective coordinates

All students within the selected clusters are included in the sample. This method is different from multi-stage sampling as it involves selecting entire clusters instead of individual students at each stage.

a) To use a multi-stage sampling technique to survey 24 Gr. 9 students from the high school, we can follow the following steps:

1. Stage 1: Randomly select a subset of homeroom classes: In this stage, we randomly select a certain number of homeroom classes out of the total 12 classes. For example, if we need 24 students, we can randomly select 2 homeroom classes.

2. Stage 2: Randomly select students within the selected homeroom classes: From the selected homeroom classes in Stage 1, we randomly select a specific number of students from each class. This can be done using a random number generator or any other random selection method. For example, if each class has 24 students, we can randomly select 12 students from each of the 2 selected homeroom classes.

By following this multi-stage sampling technique, we ensure that we have a representative sample of 24 Gr. 9 students from different homeroom classes in the high school.

b) If we are asked to use a cluster sampling technique instead of a multi-stage sampling technique, the approach would be slightly different. In cluster sampling, we would follow these steps:

1. Divide the population into clusters: In this case, the clusters would be the homeroom classes. We have 12 homeroom classes in total.

2. Randomly select a certain number of clusters: Instead of randomly selecting individual students, we randomly select a specific number of homeroom classes as clusters. For example, if we need 24 students, we can randomly select 2 homeroom classes as clusters.

3. Include all students within the selected clusters: In cluster sampling, once we select the clusters, we include all students within those selected clusters. So, if each class has 24 students, and we select 2 clusters, we would include all 48 students from those 2 selected classes.

By using cluster sampling, we ensure that all students within the selected clusters are included in the sample. This method is different from multi-stage sampling as it involves selecting entire clusters instead of individual students at each stage.

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The sample variance is approximately 146.31 and the sample standard deviation is approximately 12.10 for the given set of numbers.

The sample variance is approximately 146.31 and the sample standard deviation is approximately 12.10 for the given set of numbers. These value provide a measure of the variability or spread of the data set.

To find the sample variance and standard deviation for the given set of numbers: 6, 53, 13, 51, 38, 28, 33, 30, 31, 31, you can follow these steps:

Step 1: Find the mean (average) of the data set:

Mean (μ) = (6 + 53 + 13 + 51 + 38 + 28 + 33 + 30 + 31 + 31) / 10 = 33.6

Step 2: Calculate the differences between each data point and the mean:

(6 - 33.6), (53 - 33.6), (13 - 33.6), (51 - 33.6), (38 - 33.6), (28 - 33.6), (33 - 33.6), (30 - 33.6), (31 - 33.6), (31 - 33.6)

Step 3: Square each difference:

(-27.6)^2, (19.4)^2, (-20.6)^2, (17.4)^2, (4.4)^2, (-5.6)^2, (-0.6)^2, (-3.6)^2, (-2.6)^2, (-2.6)^2

Step 4: Calculate the sum of the squared differences:

(-27.6)^2 + (19.4)^2 + (-20.6)^2 + (17.4)^2 + (4.4)^2 + (-5.6)^2 + (-0.6)^2 + (-3.6)^2 + (-2.6)^2 + (-2.6)^2 = 1316.8

Step 5: Divide the sum by (n - 1), where n is the number of data points (in this case, n = 10):

Sample Variance (s^2) = 1316.8 / (10 - 1) = 146.31

Step 6: Take the square root of the sample variance to get the sample standard deviation:Sample Standard Deviation (s) ≈ √146.31 ≈ 12.10

Therefore, the sample variance is approximately 146.31 and the sample standard deviation is approximately 12.10 for the given set of numbers.

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The phrase "He went to get milk but never came back" is often used as a humorous way to explain someone's absence or to imply that someone is unreliable or untrustworthy.

The phrase likely originates from a common experience where a child's parent, often their father, promises to go out to get something, like milk, but never returns. This can be a source of disappointment and confusion for the child, and the phrase has since been used in a joking manner to explain someone's failure to show up or fulfill a promise.

However, it is important to recognize that this experience can also be a source of trauma and should not be used to make light of someone's pain or loss.

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Answer:

Step-by-step explanation:This is a standard question which is to be answered according to the definition.If any complex number is written in the form of an ordered pair (a, b), it is written as'z = a + ib.Here, a=3 and b=4Hence, z=3+4i

The given equation is dR/R = k dt, where dR represents the change in R and dt represents the change in time t. To solve this differential equation, we can separate the variables and integrate both sides.

Starting with the equation dR/R = k dt, we can rewrite it as dR = kR dt. Then, dividing both sides by R gives dR/R = k dt.

Next, we integrate both sides. On the left side, we have ∫dR/R, which evaluates to ln|R|. On the right side, we have ∫k dt, which evaluates to kt.

Therefore, the equation becomes ln|R| = kt + C, where C is the constant of integration.

To find the general solution, we can exponentiate both sides to eliminate the natural logarithm: |R| = e^(kt + C). Since e^C is a positive constant, we can rewrite this as |R| = Ce^kt. Finally, we can consider two cases: when R is positive, we have R = Ce^kt, and when R is negative, we have R = -Ce^kt. So, the general solution is R = Ce^kt or R = -Ce^kt, where C is an arbitrary constant.

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Answer:

Step-by-step explanation:

We can calculate the value of {x} as 63.2°.

Yes, the length of any object is a single dimensional entity.

Given is that for a right angled triangle the length of hypotenuse is 14 and leg is 8.

Using the Pythagoras theorem, we can write -

{hypotenuse}² = {base}² + {leg}²

14² = 8² + {base}²

{base}² = 14² - 8²

{base}² = (14 + 8)(14 - 8)

{base}² = 22 x 6

{base}² = 132

{base} = √132

{base} = 11.4

Therefore, the length of the missing side is given as -

{base} = 11.4

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{COMPLETE QUESTION -

Find the missing side length to the nearest tenth of a foot. hypotenuse is 14 and leg is 8}

Answer:

= -36.4

Step-by-step explanation:

- 25 x - 9 < 910

Add 9 to both sides

- 25 x < 919

Divide -25 to both sides

- 25 / - 25 < 919 / - 25

= -36.4

The probability that an individual prefers biking given that he or she is 35 years old or older is 9/53.

From the definition of the probability we can get,

Conditional Probability to occur event A when B is already occurred is,

P(A|B) = P(A and B)/P(B)

Now let A be the event that an individual prefers biking and B be the event that individual is 35 years old or older.

Number of 35 years old and older individual is = 159

Number of 35 years old and older preferred biking = 27

Total number of individual = 516

So, P(A and B) = 27/516 and P(B) = 159/516

So the required probability that an individual prefers biking given that he or she is 35 years old or older is

= P(A | B)

= P(A and B)/P(B)

= (27/516)/(159/516)

= (27/516) * (516/159)

= 27/159

= 9/53

Hence, the required probability that an individual prefers biking given that he or she is 35 years old or older is 9/53.

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The question is incomplete. The complete question will be -

"The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35, and those 35 years of age or older. Find the probability that an individual prefers biking given that he or she is 35 years old or older."

Answer: b) psychological disorders

Step-by-step explanation:

The surveyor is interested in learning additional information about a segment of the general population. Numerous research projects call for particular interest groups to make decisions in light of their findings. This group of individuals is referred to as a sample.

What Exactly Is a Sample?

An easier-to-manage portion of a bigger group is referred to as a sample. It is a subset of individuals that shares traits with a wider population.

                                 In statistical testing, samples are utilized when population sizes are too vast for all potential participants or observations to be included in the test.

What does a research sample mean?

Sampling is the process of choosing a portion of the target population for a research project.

                                 In the vast majority of research projects, it is impossible to recruit the involvement of the entire population of interest, hence data gathering depends on a smaller group.

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Answer:20

Step-by-step explanation: This is answer is 20 because you have to divide 10 1/2 to get your answer .

what is Mary biking speed in miles per hour