Find the Value of X. (image shown) 10 points!!!!!

Part A

4x10 – 64x2

= 4x2 * x8 – 4x2 * 16

= 4x2 * (x8 – 16) by distributive property

Part B

x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.

4x2 * (x8 – 16)

= 4x2 * (x4 + 4) * (x4 – 4)

x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.

= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)

Answer:

Below.

Step-by-step explanation:

The GCF = 4x^2

So its 4x^2(x^8 - 16)

This can be further factored

= 4x^2(x^4 - 4)(x^4 + 4)

= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)

On average, you can expect to get about 4.24 points per game if you play many times.

To find the average number of points you can get by playing the game many times, you can use the expected value as a guide.

The expected value of the game is calculated as follows:

(20 points x probability of getting 20) + (10 points x probability of getting 10) + (2 points x probability of getting 2) = 5.6

Let's use the variables p20, p10, and p2 to represent the probabilities of getting 20 points, 10 points, and 2 points, respectively. Then we can set up the equation:

(20p20) + (10p10) + (2p2) = 5.6

We also know that the sum of the probabilities must equal 1:

p20 + p10 + p2 = 1

Now we have two equations and three variables. We need one more equation to solve for the variables. One way to do this is to assume that the probabilities of getting 20 points, 10 points, and 2 points are proportional to the point values themselves.

In other words, let's assume that:

p20 : p10 : p2 = 20 : 10 : 2

We can then use this proportion to write p20 and p2 in terms of p10:

p20 = 2p10

p2 = 4p10

Now we can substitute these expressions into the two equations we have:

(20p20) + (10p10) + (2p2) = 5.6

p20 + p10 + p2 = 1

Substituting the first equation gives:

(20(2p10)) + (10p10) + (2(4p10)) = 5.6

Simplifying:

80p10 + 10p10 = 5.6

90p10 = 5.6

p10 = 5.6/90

p10 = 0.062

Now we can use the proportions to find p20 and p2:

p20 = 2p10 = 2(0.062) = 0.124

p2 = 4p10 = 4(0.062) = 0.248

Finally, we can calculate the average number of points:

(20 points x 0.124) + (10 points x 0.062) + (2 points x 0.248) = 3.12 + 0.62 + 0.496 = 4.236

So, on average, you can expect to get about 4.24 points per game if you play many times.

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Answer: 48 red drops

Step-by-step explanation:

ratio of yellow food drops to red food drops is 8:12

8:12 simplifies to 2:3

2:3 = 2/5:3/5

2x/5 = 32 = # of yellow drops (where x is the total # of drops)

2x/5 = 32

2x = 160

x = 80

Since there are 80 total drops and 32 yellow drops, there must be 48 red drops (80-32=48)

Step-by-step explanation:

To solve the system of equations:

5x + y = 9

10x - 7y = -18

We can use the elimination method by multiplying the first equation by 7 and subtracting it from the second equation:

35x + 7y = 63 (multiplying first equation by 7)

10x - 7y = -18

45x = 45

Dividing both sides by 45, we get:

x = 1

Substituting x = 1 into the first equation:

5(1) + y = 9

Simplifying, we get:

y = 4

Therefore, the solution to the system of equations is x = 1 and y = 4.

The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Answer:

-6

Step-by-step explanation:

In order to solver this equation you would simply subtract 12 from 6. It is as simple as it sounds. We know it is a negitive because you are subtracting more that what you have. Another way to do it would be to do 6-12 and then you would get 6 and then just add a negititve to it.

Answer:

6.42 x 10^-8

Step-by-step explanation:

Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

To estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence, a sample size of 384 would be needed.

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Answer:

5/7 this is the answer. I hope it is helpful

Answer:

Step-by-step explanation:

2/3+3/4=8/12+9/12=17/12

Recursion is a programming concept where a function calls itself in order to solve a problem. recursion is a technique for solving problems by breaking them down into smaller subproblems and calling the same function to solve each subproblem until the base case is reached.

It can be a very useful tool when used correctly, but it is important to be aware of the potential pitfalls when implementing it in a program.

To understand recursion, let's consider an example. Let's say you have a stack of boxes and you want to find the box at the bottom of the stack. A simple approach would be to take each box from the top one by one until you reach the bottom.

This approach can be implemented in a program by calling a function that removes the top box and repeats the process until there are no more boxes. This is an example of recursion.

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Answer:

sqrt(45)

Step-by-step explanation:

To go from A to B, go 3 units right and 6 units up. Those are the sides of a right triangle. The shortest path from A to B is the hypotenuse of the triangle.

(AB)^2 = 3^2 + 6^2

(AB)^2 = 9 + 36

(AB)^2 = 45

AB = sqrt(45)

Answer:

\(\sqrt{45}\)

Step-by-step explanation:

pythag theorem; a²+b²=c²

a = 3, b = 6, c  = ?

Answer:

-3/4

Step-by-step explanation:

If you take two points, the rise is 3. Also, the change in y is 4. Since the line is going downwards from left to right, it has to be negative.  

Answer:

Value of x = 12 unit

Step-by-step explanation:

Given:

tw = 3x+5

wx = 10

tx = 5x-9

Find:

Value of x

Computation:

tw + wx = tx

3x + 5 + 10 = 5x - 9

3x + 15 = 5x - 9

2x = 24

x = 12

Value of x = 12 unit

Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

Answer:

0.097%

Step-by-step explanation:

Since this is a series of events probability question, in order to calculate the probability you need to first find the probability of getting each individual answer right and then multiplying those probabilities together. This will give you the probability of getting 100% on the entire test. Since the questions are multiple-choice with 4 choices and only 1 correct choice then the probability of getting one right is 1/4 or 25%. Now that we have that probability we simply need to multiply it 5 times for each individual question.

1/4 * 1/4 * 1/4 * 1/4 * 1/4 = 1/1024 or 0.0009765 or 0.097%

Each container will hold 0.5 pound of flour.

In the problem there is 3 pounds of floor to be divided in 6 containers. we can visually represent problem like this :

a a a

b b b

c c c

d d d

e e e

f f f

From the given information we have divided the table into 6 parts, and

respectively name the columns given in the question. Now we have to divide 3

pounds of flour equally in these columns . so we can apply the basic unitary method by dividing pounds of flour by total no. of container.

Flour in each container= pounds of flour/no. of containers

Flour in each container = 3/6

=1/2

Thus 0.5 pound flour will be in each container.

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Answer:

X < -0.84

Step-by-step explanation:

Answer:

\(11\dfrac{3}{5}$ miles\)

Step-by-step explanation:

Miguel ran \(2\dfrac{9}{10}\) miles on Monday.

On Friday, he ran 5 times as far as he did on Monday.

Miles run on Friday

\(=5 X 2\dfrac{9}{10}\)

\(=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles\)

Difference in Number of Miles Run

\(=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles\)

Therefore, Miguel ran \(11\dfrac{3}{5}$ miles\) farther on Friday.

Answer:

A. It is the result of the photoelectric effect.

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The first runner covers 30 yards in 4 seconds, a speed of 5 yards per second. The second runner covers a distance of 20 yards in 4 seconds but starts 10 yards ahead. Both runners have a speed of 5 yards per second.

The first runner maintains a constant speed of 5 yards per second and covers a distance of 30 yards in 4 seconds. The second runner also has a speed of 5 yards per second but starts 10 yards ahead. Therefore, the second runner covers a shorter distance of 20 yards in the same 4 seconds.

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the data are normally distributed with a mean of 74.674.6 hours and a standard deviation of 9.19.1 hours. So  10.2% of gadgets were powered by batteries for fewer than 63 hours.

Given that,

Data have a mean of 74.6 hours and a standard deviation of 9.1 hours, and they are regularly distributed.

The standard deviation is defined as ?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

\(p(X\leq 63) = p(Z\leq 63-74.6/9.1)\)

From standard deviation,

         \(p(X\leq 63) = p(Z\leq -1.279)= 0.1061\)

a certain percentage of gadgets have battery life of less than 63 hours.

X= 63 hours

Percentage of devices ran on the batteries for fewer than 63 hours = 10.2%

Therefore, 10.2% of electronic devices had battery life of less than 63 hours

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Answer:

5

(40+24)=64

64÷8=8

(2^2-1)=3

8-3=5

Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. H0 (null hypothesis) is accepted.

we can infer that -

95 % CI for mean  9.1744 to 10.8256

Since p >0.05 accept null hypothesis.

standard deviation sigma not known.  df = 24

H0:  x bar = 9.5

Ha: x bar not equals 9.5

t-statistic  1.250

P = 0.2234

We fail to reject null hypothesis

There is no statistical evidence at 5% level to fail to reject H0

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(- 4 * 3 * 2)*2 = - 48

Answer:

que necesitas? acaso necesitas algo fan de Sparta o no

Step-by-step explanation:

ok

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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Answer:

Im fairly sure the equation is D, a+5=11

Step-by-step explanation:

Kate has gone up 11 times and 5 more times than Andre, so 11-5 HAS to be the amount of times Andre has gone up.

If we reorganise this equation then we get a+5=11