what the answer and how do I solve it?

Answer:

24ab

Step-by-step explanation:

The multiple of 8, 2, 4ab, 3a, and 6b would be all the variables multiplied together right?

Then you see that:

8 can be divided by both 2 and 4 (2 x 2 x 2)

2 is 2 x 1

4ab can be 2 x 2ab

3a is the same as 3 x a

and

6b can be 2 x 3b

Now if you find the lowest common multiples (LCM's) of each variable with another you'll get your answer.

LCM of 8, 2 and 4ab is 2 times 2 times 1 times 2ab which equals 8ab

LCM of 3a and 6b is 3a times 2 times b which equals 6ab

and the

LCM of 8ab and 6ab is 2 times 2ab times 4 times 3 which equals 24ab.

Answer:

a) 167 cups

b) 4 packages

Step-by-step explanation:

Given:

Diameter, d = 8cm

Height, h = 11 cm

10 gallon container

Since 1 gallon = 3085cm, 10 gallons will be:

= 10 * 3085 = 30850 cm

a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.

Formula for volume of a cone:

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

We know radius, r = d/2 = 8/2 = 4cm

Substituting figures in the formula, we have:

\( V = \frac{1}{3} \pi 4^2*11\)

V = 184.31 cm³

The number of paper cups are needed to empty the entire 10 gallon cooler would be:

\( = \frac{30850}{184.31} = 167.38 cups \)

Approximately 167 cups

b) if the cups are sold in packages of 50, the number of packages to be bought will be:

\( = \frac{167}{50} = 3.34 \)

Which is approximately 4 packages

It will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

To determine the time it will take to save enough money, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r,

where FV is the future value, P is the monthly payment, r is the monthly interest rate, and n is the number of periods.

Given:

Desired future value (FV) = $5000,

Monthly payment (P) = $240,

Monthly interest rate (r) = 5% / 12 = 0.05 / 12 = 0.004167.

We need to solve for the number of periods (n) in the formula. Rearranging the formula, we have:

n = log(1 + (FV * r) / P) / log(1 + r),

where log denotes the logarithm with base 10.

Plugging in the given values, we get:

n = log(1 + ($5000 * 0.004167) / $240) / log(1 + 0.004167).

Using a calculator, we find that n is approximately 20.998, which rounds up to 21.

Therefore, it will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

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Answer:

10

Step-by-step explanation:

Let c = sum of ages of all children.

mean age of all children = c/15 = 7

c = 15 * 7 = 105

The sum of the ages of all children is 105.

Let b = sum of ages of the 9 boys.

mean age of boys = b/9 = 5

b = 9 * 5 = 45

The sum of the ages of the boys is 45.

The sum of the ages of the girls is c - b.

c - b = 105 - 45 = 60

The number of girls is 15 - 9 = 6

mean age of girls = (sum of ages of the girls)/(number of girls) =

= 60/6 = 10

a. Perform P_{12}, permute the 1st and 2nd rows it will become \($$\begin{bmatrix}3&6&-12\\3&-1&2\end{bmatrix}$$\),

b. Multiplying every element of the 1st row by 1/3 gives new matrix,

\($$\begin{bmatrix}1&-\frac{1}{3}&\frac{2}{3}\\3&6&-12\end{bmatrix}$$\)

c. \($A_{12}(-3)$\), add to the elements of the 2nd row, -3 times the corresponding elements of the 1st row

Adding to the elements of the 2nd row, -3 times the corresponding elements of the 1st row gives new matrix,

\($$\begin{bmatrix}1&-\frac{1}{3}&\frac{2}{3}\\0&\frac{11}{3}&-14\end{bmatrix}$$\)

Given matrix is \(A = $\begin{bmatrix} 3& -1 &2\\3 &6& -12\end{bmatrix}$\)

Perfoming the given row operations;

a. \(P_{12}\), permute the 1st and 2nd rows

Permute the 1st and 2nd rows gives new matrix,

\(\begin{bmatrix}3&6&-12\\3&-1&2\end{bmatrix}\)

b. \($M_1(1/3)$\), multiply every element of the 1st row by 1/3

Multiplying every element of the 1st row by 1/3 gives new matrix,

\($$\begin{bmatrix}1&-\frac{1}{3}&\frac{2}{3}\\3&6&-12\end{bmatrix}$$\)

c. \($A_{12}(-3)$\), add to the elements of the 2nd row, -3 times the corresponding elements of the 1st row

Adding to the elements of the 2nd row, -3 times the corresponding elements of the 1st row gives new matrix,

\($$\begin{bmatrix}1&-\frac{1}{3}&\frac{2}{3}\\0&\frac{11}{3}&-14\end{bmatrix}$$\)

Thus, the final matrix is \($\begin{bmatrix}1&-\frac{1}{3}&\frac{2}{3}\\0&\frac{11}{3}&-14\end{bmatrix}$\)

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Answer:

-20

Step-by-step explanation:

I belive )

you could check using the internet step by step

Answer:

B

Step-by-step explanation:

B and E :)

Answer: your answer is b

Step-by-step explanation:

hope this helps brainliest?

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Answer:

There are 8 stacks

Step-by-step explanation:

Take the number of pancakes and divide by the number in a stack to determine the number of stacks

40/5 = 8

There are 8 stacks

Simplify the expressions by using the distributive property.

For second expression,

Answer:

D, 18.

Step-by-step explanation:

1. We need to separate any value from x, so we must remove (-2/3) from the left side of the equation and place it on the right by dividing by (-2/3).

-2/3(x) = -12

2. We recognize that the negatives cancel each other out, so it cannot be A or B. Also, remember that dividing by a fraction or decimal will always increase the value of your answer. Therefore, the answer must be 18.

x = -12 times -3/2

x = 36/2

x = 18

Answer:

the surface area would be 353 in for the pyramid

Step-by-step explanation:

Answer:

Matrix B is a 3 × 7 matrix.

Answer:

15

Step-by-step explanation:

Answer:

\(f(x)=600(0.09)^x\)

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = \(ab^x\); where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

\(f(x)=600(0.09)^x\)

The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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Answer:

Translation as Triangle A has been translated by vector (3,-1) to now being (-2,-3)

Translation as Triangle A has been translated by a vector (3,-1) to now being (-2,-3).

The process of changing the location of the image on the coordinate system will be known as the translation.

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have merely changed their direction or directions.

Given that Translate Triangle A by a vector (3, -1) to give triangle B. Then, rotate your triangle B 180° around the origin to give triangle C.

Triangle A translation ⇒ (3,-1)

The second translation = (-2,-3).

Therefore, the translation as Triangle A has been translated by a vector (3,-1) to now being (-2,-3).

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The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.

Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.

In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).

In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:

P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.

Plugging in the values, we have:

ρ = (1/12) / (1/8) = 2/3

P_idle = (2/3)⁰ × (1 - 2/3) = 1/3

Therefore, the probability is 1/3 or approximately 0.3333.

Thus, option (A) is the correct answer.

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Answer:

1.2

Hope it helps :)

\(\frac{24}{25}*\frac{5}{4}\\\\\\=\frac{6}{5}\)

The critical points of function f(x,y) are (0,0) and (2,1), and (2,1) is a local maximum.

To find the critical points of f(x,y), we need to find all values of (x,y) where the gradient of f(x,y) equals zero. The gradient of f(x,y) is given by:

∇f(x,y) = <(y-2xy), (x-2y^2)>

Setting each component of the gradient equal to zero yields two equations:

y - 2xy = 0

x - 2y^2 = 0

Solving these equations simultaneously, we obtain two critical points: (0,0) and (2,1).

To determine the nature of each critical point, we compute the Hessian matrix of f(x,y):

H(f) = [ 2y -2x ]

[-2y 4y ]

At (0,0), H(f) = [0 0; 0 0], which is a degenerate matrix. Therefore, we cannot use the second derivative test to determine the nature of this critical point.

At (2,1), H(f) = [2 -4; -2 4], which has a negative determinant and a positive trace. Therefore, by the second derivative test, we conclude that (2,1) is a local maximum.

In summary, the critical points of f(x,y) are (0,0) and (2,1), and (2,1) is a local maximum.

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Answer:

Step-by-step explanation:

The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.

Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:

Regression 1: y = -5.8x - 6.5, r = -0.7621

Regression 2: y = 2.4x - 14.7, r = 0.809

Regression 3: y = -7.4x - 17.4, r = -0.233

Regression 4: y = -3.4x - 8.5, r = -0.6121

Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.

Answer:

5/6

Step-by-step explanation:

in decimals it would be 0.83333333333

Answer:

5/6

Step-by-step explanation:

All you have to do is do KCF (Keep, Change, Flip) Keep the first fraction, change the division sign, and flip the second fraction and multiply straight across. Simplify if needed. (Hope this helps)

Answer:

Socratic app

Step-by-step explanation:

it will help you

Answer:

40 people are currently planning to attend the reunion.

Step-by-step explanation:

If we don't know how many people are coming, we can call that number x.

If those people split the cost ($200) it will be 200/x.

If 10 more people come, the head count is now x+10.

So the cost becomes 200/(x+10)

The cost when more people pitch in is less money per person. If fewer people split the cost its more per person. They are saying the difference here is $1.

So we can write an equation.

200/x = 200/(x+10) + 1

OR

200/x - 1 = 200/(x+10)

Cross multiply. This gives you a quadratic equation so factor to solve or use Quadratic Formula. See image. It shows how to solve by factoring.

see images. There are 2 images.

The end of communism in the Eastern Bloc countries was a complex and multifaceted process. In this blog post, we explore the various factors that contributed to this historical shift and invite readers to share their insights and experiences on this topic.

Introduction:

The fall of communism in the Eastern Bloc countries marked a significant turning point in history. It was a transformative period that witnessed the transition from communist regimes to new political systems, albeit with varying degrees of success. Understanding this intricate process requires exploring the factors that played a role in bringing an end to communism in the region.

Factors and Challenges:

One cannot attribute the end of communism in the Eastern Bloc solely to a few simple explanations. It involved a combination of factors, including the rise of democratic movements, social and economic pressures, and the role of former communist leaders. While some countries successfully transitioned to democracy, others struggled to shake off the remnants of communism, often marred by rigged elections and corrupt governments.

Seeking Insights from Readers:

Understanding this pivotal moment in history can benefit from the diverse perspectives and personal experiences of individuals. As a reader, we invite you to share your insights and knowledge on this topic. Were you directly affected by the end of communism in the Eastern Bloc? Do you have family or friends who lived through this period? What are your thoughts on the factors that influenced the transition from communism to democracy?

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Note: We need to find the number of seeds of each color.

Given:

A packet contains blue and yellow flower seeds in the ratio 3:4.

There are 32 flower seeds​.

To find:

The number of blue and yellow flower seeds.

Solution:

Let the number of blue and yellow flower seeds are 3x and 4x respectively.

There are 32 flower seeds​.

\(3x+4x=32\)

\(7x=32\)

\(x=\dfrac{32}{7}\)

\(x\approx 4.57\)

Now,

The number of blue flower seeds is

\(3(4.57)=13.71\approx 14\)

The number of yellow flower seeds is

\(4(4.57)=18.28\approx 18\)

We approx. the value rounded to the nearest integer because the number of flower seeds cannot be a decimal of fractional value.

Therefore, the number of blue seeds is 14 and the number of yellow seeds is 18.

Answer:

Step-by-step explanation:

z - 4 = -8

z = -4

answer is C

Answer:

the answer is 41

Step-by-step explanation:

C. 41

Step-by-step explanation: