8x+3(7x-6)
What is the answer to this solved

Answer: 17

Step-by-step explanation: ---

The value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4

The expression is given as:

(3x^5 + y^2)^2

Expand the expression

So, we have

(3x^5 + y^2)^2 = (3x^5 + y^2)(3x^5 + y^2)

Expand the bracket

(3x^5 + y^2)^2 = 9x^10 + 3x^5y^2 + 3x^5y^2 + y^4

Evaluate the sum

(3x^5 + y^2)^2 = 9x^10 + 6x^5y^2 + y^4

Hence, the value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4

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The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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Brad's logic is flawed and does not hold any scientific basis. The gender of a child is determined by the combination of genetic factors from both parents

. Each pregnancy is an independent event, and the probability of having a boy or a girl is not influenced by the gender of the previous children. The belief that having a certain number of children of one gender increases the likelihood of having a child of the opposite gender is known as the "gamblers fallacy" or "Monte Carlo fallacy." In reality, the probability of having a boy or a girl remains approximately 50% for each pregnancy, regardless of the gender composition of the existing children.

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Correct option is A. The value of f(3) is -11

The value of x = 3 corresponds to the following function on the piece wise

\(f(x) = -3x -2\)

Substitute 3 for x

\(f(3) = -3(3) -2\)

Expand

\(f(3) = -9 -2\)

Evaluate -9 -2

\(f(3) = -11\)

Hence, the value of f(3) is (a) -11

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Answer: A.) -11

Step-by-step explanation: i hope this helps :)

Answer: h<2

Step-by-step explanation:

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

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Answer:

x = -5/2

Step-by-step explanation:

Solve: 5(x + 2) = 3x + 5

Steps:

x = -5/2

-Chetan K

Answer:

No

Step-by-step explanation:

The angels are not similar. The first triangle has the top corner as 36 degrees and the bottom right as 72 degrees, which matches with the second triangle. But the second triangle has 33 degrees as the top instead of 36, so the triangles are not similar.

Step-by-step explanation:

I hope it's correct thanks me nalang kung correct

The probability that the ninth woman to appear is in position 17 is about 5.59%

We can approach this problem by using the binomial probability distribution. Let X be the number of women among the first 16 people in the line. Then X follows a binomial distribution with parameters n = 16 and p, the probability that any given person among the first 16 is a woman. We want to find the probability that X = 8, since this means that the ninth woman to appear is in position 17.

The probability of any given person being a woman is not specified in the problem, but we can assume that it is 0.5 for simplicity. Therefore, p = 0.5, and we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. In this case, it gives the number of ways to choose k women from the first 16 people in the line.

Using this formula with n = 16 and k = 8, we get:

P(X = 8) = (16 choose 8) * 0.5^8 * 0.5^8

= 12870 * 0.00390625

= 50.27

This means that the probability of exactly 8 women appearing among the first 16 people in the line is about 50.27%.

Given that there are 8 women among the first 16 people, the probability that the ninth woman appears in position 17 is 1/9, since there are 9 possible positions for the ninth woman to appear, and they are all equally likely.

Therefore, the overall probability that the ninth woman to appear is in position 17 is:

P(X = 8) * (1/9) = 50.27% * (1/9) = 5.59%

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The value of the postfix expression 6 3 2 4 + - * is 18, which falls between 15 and 100. Therefore, the correct answer is d) Something between 15 and 100.

Here is the step-by-step  of how to evaluate the postfix expression:

1. Start with the first two numbers, 6 and 3, and the first operator, *. Multiply 6 and 3 to get 18.
2. Move on to the next two numbers, 2 and 4, and the next operator, +. Add 2 and 4 to get 6.
3. Now you have 18 and 6, and the last operator, -. Subtract 6 from 18 to get 12.
4. The final result is 12.

Therefore, the value of the postfix expression 6 3 2 4 + - * is 12, which falls between 15 and 100. The correct answer is d) Something between 15 and 100.

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Answer:

Step-by-step explanation:

I just finished this homework so

u have

-2 -8 -18 -32 -50

-2 to -8=-6

-8 to -18=-10

-18 to -32=-14

-32 to -50=-18    now the gaps are going by 4 so it will be n^2-4

Answer:

B

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 16500 × 0.042 × 5 = 3465

I = $ 3,465.00

The simple interest accumulated

on a principal of $ 16,500.00

at a rate of 4.2% per year

for 5 years is $ 3,465.00.

Answer:

Step-by-step explanation:

13 + h = 21 for h = 9

1. Substitute 9 for the variable h.

Correct, because the question already giving the value that h = 9.

2. Substitute 21 for the variable h.

False, because in the question it states that h is 9, not 21.

3. Simplify by adding 13 and 21.

False, because they are in different sides.

4. Simplify by adding 13 and 9.

True, the question giving that h is 9. In the left sides, it's 13 + h, by adding 13 and 9, we will get the answer for the left side.

5. 21 = 21, so 9 is a solution to the equation.

False, because in the left side is 13 + h = 13 + 9 = 22.

6. 22 Not-equals 21, so 9 is not a solution to the equation.

True, see the explanation in 5.

Answer:

Substitute 9 for the variable h.

Simplify by adding 13 and 9.

22 Not-equals 21, so 9 is not a solution to the equation.

Step-by-step explanation:

the guy above me ∧ is correct!

A) Solution: x(t) = 0.4cos(3t) + 0.7sin(3t) + 0.0175. B) Solution: x(t) = 0.5cos(0.5t) + 0.4sin(0.5t) + 0.1. C) Solution: x(t) = 0.9cos(4t) + 0.225sin(4t) + 0.125

For the first problem:

Using Hooke's Law, we have k = mg/L = (0.2 kg)(9.8 m/s²)/(1.0889 m) = 1.764 kg/s².

The differential equation that governs the motion of the undamped mass-spring system is x'' + (k/m)x = 0, which simplifies to x'' + 9x = 0 since k/m = 1.764 kg/s² / 0.2 kg = 8.82 m/s² and we can use g=9.8 m/s² to get k/m = 0.9 g/L.

The solution that satisfies the initial conditions specified is x(t) = 0.4cos(3t) + 0.7sin(3t) + 0.0175.

For the second problem:

Using Hooke's Law, we have k = mg/L = (0.3 kg)(9.8 m/s²)/(2.45 m) = 1.176 kg/s².

The differential equation that governs the motion of the undamped mass-spring system is x'' + (k/m)x = 0, which simplifies to x'' + 2.5x = 0 since k/m = 1.176 kg/s² / 0.3 kg = 3.92 m/s² and we can use g=9.8 m/s² to get k/m = 0.4 g/L.

The solution that satisfies the initial conditions specified is x(t) = 0.5cos(0.5t) + 0.4sin(0.5t) + 0.1.

For the third problem:

Using Hooke's Law, we have k = mg/L = (0.5 kg)(9.8 m/s²)/(0.6125 m) = 80.8163 kg/s².

The differential equation that governs the motion of the undamped mass-spring system is x'' + (k/m)x = 0, which simplifies to x'' + 32x = 0 since k/m = 80.8163 kg/s² / 0.5 kg = 161.6326 m/s² and we can use g=9.8 m/s² to get k/m = 32 g/L.

The solution that satisfies the initial conditions specified is x(t) = 0.9cos(4t) + 0.9/4sin(4t) + 0.125.

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To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

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The t-statistic for testing β₁ = 0 is [t-statistic value], with a corresponding p-value of [p-value].

In order to test the hypothesis that β₁ is equal to zero at a significance level of 5%, we need to calculate the t-statistic and p-value based on the given information. The t-statistic measures the difference between the estimated coefficient β₁ and the hypothesized value of zero, relative to the standard error of β₁.

From the information provided, we know that the estimated coefficient for β₁ is 5.74, and its standard error is given. The t-statistic can be calculated by dividing the estimated coefficient by its standard error. Therefore, the t-statistic is obtained by dividing 5.74 by the standard error of β₁.

To obtain the p-value, we compare the t-statistic to the critical values of the t-distribution with n-2 degrees of freedom. In this case, the sample size is n = 462, which means we have n-2 = 460 degrees of freedom for the t-distribution.

The p-value represents the probability of observing a t-statistic as extreme as the one calculated, assuming the null hypothesis is true (i.e., β₁ = 0). We can compare the t-statistic to the critical values of the t-distribution and determine the corresponding p-value.

Based on the calculated t-statistic and the degrees of freedom, we can look up the p-value from the t-distribution table or use statistical software to find the exact value. The obtained p-value indicates the probability of observing a t-statistic as extreme as the one calculated, assuming the null hypothesis is true.

Therefore, the main answer is that the t-statistic for testing β₁ = 0 is [t-statistic value], with a corresponding p-value of [p-value].

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Answer:

The area of a right-angled triangle is given by the formula A = (1/2)bh, where b is the length of the base and h is the length of the height. We are given that the area of the triangle is 42 cm^2, so we can write:

42 = (1/2)(x+3)(x+8)

Simplifying the right-hand side, we get:

84 = (x+3)(x+8)

Expanding the brackets, we get:

84 = x^2 + 11x + 24

Rearranging, we get:

x^2 + 11x - 60 = 0

We can factorize the left-hand side to get:

(x + 15)(x - 4) = 0

So either x + 15 = 0 or x - 4 = 0. Solving for x in each case, we get:

x = -15 or x = 4

Since the lengths of the base and height of the triangle must be positive, we can disregard the solution x = -15. Therefore, the length of the base is:

x + 3 = 4 + 3 = 7 cm

And the length of the height is:

x + 8 = 4 + 8 = 12 cm

So the base of the triangle is 7 cm and the height is 12 cm.

The age of Jeremy could be less than 22 years

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

Jeremy = Rachel - 2

Let Jeremy = x and Rachel = y

So, we have

y = y - 2

Their ages added together is less than 46

So, we have

x + y < 46

This gives

x + x + 2 < 46

So, we have

2x < 44

Divide

x < 22

Hence, Jeremy could be less than 22 years

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Question

Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46

How old could Jeremy be?

The penny will fall from distance of 232 feet during the 8th second only, as it falls 960 feet in the first 8 seconds, but 728 feet in the first 8 seconds.

The distance the penny falls each second is increasing by 32 feet (16 feet + 32 feet = 48 feet, 48 feet + 32 feet = 80 feet, and so on). Therefore, during the 8th second, the distance it will fall is:

16 + 48 + 80 + ... + (8 - 1) * 32 feet

Using the formula for the sum of an arithmetic sequence, we get:

(8 / 2) * (16 + (8 - 1) * 32) feet

= 4 * (16 + 7 * 32) feet

= 4 * 240 feet

= 960 feet

So the penny will fall 960 feet during the first 8 seconds. However, we need to subtract the distance it fell during the first 7 seconds to find the distance it fell during the 8th second only. The total distance it fell during the first 7 seconds is:

16 + 48 + 80 + ... + (7 - 1) * 32 feet

= (7 / 2) * (16 + (7 - 1) * 32) feet

= 3.5 * (16 + 6 * 32) feet

= 3.5 * 208 feet

= 728 feet

Therefore, the penny will fall 960 - 728 = 232 feet during the 8th second only.

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If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.

The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.

To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.

First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.

Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:

⇒ Unit price = (Total cost)/(Weight of turkey in package),

⇒ Unit price = $9/1.25 pounds,

⇒ Unit price = $7.20 per pound,

Therefore, the unit price of turkey in the package is $7.20 per pound.

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The given question is incomplete, the complete question is

A store sells a 1(1/4) pound package of turkey for $9. ​What is the unit price of the turkey in the package?

Answer:

Step-by-step explanation:

20 divided by 5x20+10=90

Answer:

90

Step-by-step explanation:

this is easiest if you know your order of operations PEMDAS so there are no parenthesis or exponents so next is multiplication and division. so 20/5= 4 then 4*20 is 80 and 80+10=90.

here's an easy way to remember PEMDAS

Please Excuse My Dear Aunt Sally

Answer:

(b) n = - 1

Step-by-step explanation:

2⁴ ÷ -16 = n

2⁴ is the same as saying 2 * 2 * 2 * 2

2 * 2 * 2 * 2 = 16

We then have 16 ÷ -16

16 ÷ - 16 = - 1

So n = -1

For jewelry prices in a jewelry store, we would expect the histogram of the data to be skewed right. Option c

In a jewelry store, the prices of jewelry items tend to vary widely, ranging from relatively inexpensive pieces to high-end luxury items. This price distribution is often skewed right. Skewed right means that the data has a longer right tail, indicating that there are a few high-priced items that can significantly influence the overall distribution.

A skewed right distribution is characterized by having a majority of values on the lower end of the scale and a few extreme values on the higher end. In the context of jewelry prices, most items are likely to have lower or moderate prices, while a few luxury items may have significantly higher prices.

Therefore, based on the nature of jewelry prices in a jewelry store, we would expect a histogram of the data to be skewed right, with a majority of prices concentrated on the lower end and a few high-priced outliers contributing to the longer right tail of the distribution.

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Answer:

Sum: 34 + 17 = 51

Difference: 34 - 17 = 17

Step-by-step explanation:

math

Answer:

34, 17

Step-by-step explanation:

We can first get the two equations x + y = 51 and x - y = 17 by calling the first number x and the second one y. Next, we can add y on both sides in the second equation to get that 17 + y = x. Now, since we know that 17 + y is equal to x, we can substitute 17 + y in for x in the first equation. We get that 2y + 17 = 51, and if we subtract by 17 on both sides and get that 2y = 34. This means that y is equal to 17, meaning that x is 34.

The unit vector in the opposite direction of ~a - ~b can be found by calculating the vector ~v = -(~a - ~b) / |~a - ~b|, where ~v represents the unit vector.

To find the unit vector in the opposite direction of ~a - ~b, we first need to compute the vector ~a - ~b, which is obtained by subtracting the corresponding components of ~a and ~b:

~a - ~b = 〈1, 1, -3〉 - 〈-1, -3, 1〉 = 〈1 - (-1), 1 - (-3), -3 - 1〉 = 〈2, 4, -4〉.

Next, we calculate the magnitude (or length) of ~a - ~b, denoted as |~a - ~b|, using the formula:

|~a - ~b| = sqrt((2^2) + (4^2) + (-4^2)) = sqrt(4 + 16 + 16) = sqrt(36) = 6.

Finally, we can find the unit vector ~v in the opposite direction of ~a - ~b by dividing -(~a - ~b) by |~a - ~b|:

~v = -(~a - ~b) / |~a - ~b| = -(〈2, 4, -4〉) / 6 = 〈-2/6, -4/6, 4/6〉 = 〈-1/3, -2/3, 2/3〉.

Therefore, the unit vector in the opposite direction of ~a - ~b is 〈-1/3, -2/3, 2/3〉.

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1. x = a

2. y = b

3. It has an undefined slope.

4. You can either use, rise/run or change in y / change in x.

5. Rewrite the given equation in slope-intercept form, then determine the y-intercept, b, of the line.

Equation of a line with m as slope and b as y-intercept is given as: y = mx + b.

1. Vertical lines have undefined slope. This implies that, for a given point, (a, b), the equation that models the line would be expressed as x = a, where a is the x-intercept.

Vertical line equation is: x = a.

2. Horizontal lines have 0 as a slope value, therefore, given (a, b), the equation that models the line is: y = b.

3. Equation for a vertical line cannot be written in slope-intercept form because the slope for a vertical line is undefined.

4. Using the following, rise/run or change in y / change in x, the slope (m), can be calculated given the coordinates of two points on a line.

5. To find an equation in point-slope form, e.g. y - 3 = 6(x - 4), rewrite the equation in slope-intercept form:

y - 3 = 6x - 24

y = 6x - 24 + 3

y = 6x - 21

The y-intercept, b, is: -21.

Therefore, the coordinate of the y-intercept would be: (0, -21).

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By seeing the percentages given, it can be concluded that

the fact that only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates do is an example of Digital divide

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. That fraction is called percentage.

For example 2% means \(\frac{2}{100}\)

Here 2 is expressed as a fraction of 100

Here, only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates have broadband internet access. Here limited group of high school graduate student has access to broadband internet access at home while almost unlimited  group of college graduate  students has access to broadband internet access at home. So there is a huge difference of the distribution of broadband internet access  at home between high school graduate and college graduate. So this is a case of Digital divide.

So the fact that only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates do is an example of Digital divide

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