Evaluate the expression when a=4 and b=43

An equation is formed when two equal expressions. The correct option is C.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.)

A.) 4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6x + 12

4x + 2x -6x = 12 + 12

0 = 0

All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.

B.)

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

4x - 11 = 4x + 3

4x-4x = 3 +11

0 ≠ 14

All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.

C.)

5(x + 3) + x = 4(x + 3) + 3

5x + 15 + x = 4x + 12 + 3

6x - 4x = 15 - 15

2x = 0

x = 0

The equation has no solution.

D.)

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 8

16 + 6x = 6x + 8

6x - 6x = -16 - 8

0≠ -24

All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.

Hence, the correct option is C.

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a) The relation is reflexive, symmetric, and transitive.

b) The relation is not reflexive, symmetric, or transitive.

a) For each watermelon x, x is related to x because the measured weight of x is at least the measured weight of x. Therefore, the relation is reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is also related to x (meaning the measured weight of y is at least the measured weight of x). Therefore, the relation is symmetric.

For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is related to z (meaning the measured weight of x is at least the measured weight of z). Therefore, the relation is transitive.

b) For each watermelon x, x is not related to x because no two watermelons have the same measured weight. Therefore, the relation is not reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is not related to x (meaning the measured weight of y is not at least the measured weight of x).

Therefore, the relation is not symmetric. For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is not related to z (meaning the measured weight of x is not at least the measured weight of z).

Therefore, the relation is not transitive.

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Answer:

6 > 2x + y

To find the slope and y-intercept for this linear inequality, we need to write it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Rearranging the given inequality, we get:

y > -2x + 6

Comparing this with y = mx + b, we can see that the slope is -2 and the y-intercept is 6.

So, the slope is m = -2 and the y-intercept is b = 6.

To graph this linear inequality, we can draw the line y = -2x + 6 (which has a slope of -2 and y-intercept of 6) as a dashed line (since y > -2x + 6, not y = -2x + 6). Then we shade the region above the line, since all the points in that region satisfy the inequality y > -2x + 6.

x < 3y - 6

Again, we need to write this inequality in slope-intercept form to find the slope and y-intercept. Rearranging, we get:

3y > x + 6

Dividing both sides by 3, we get:

y > (1/3)x + 2

So, the slope is m = 1/3 and the y-intercept is b = 2.

To graph this linear inequality, we draw the line y = (1/3)x + 2 (which has a slope of 1/3 and y-intercept of 2) as a dashed line (since x < 3y - 6, not x = 3y - 6). Then we shade the region below the line, since all the points in that region satisfy the inequality x < 3y - 6.

Answer:

about 45%

Step-by-step explanation:

it should be right

Answer:

More businesspeople eat out per week

Step-by-step explanation:

businesspeople:

4,400 * 0.33 = 1,452

families:

10,000 * 0.12 = 1.200

Based on the survey, the market segment of businesspeople is bigger than the market segment of families.

To identify the bigger market segment based on the survey data from the chamber of commerce, we need to calculate the actual numbers of businesspeople and families that eat out at least once a week. We can then compare these numbers to see which segment is bigger.

Using the given data:

33% of businesspeople eat out at least once a week.

12% of families eat out once a week.

Number of businesspeople in the town = 4,400

Number of families in the town = 10,000

Number of businesspeople that eat out once a week = 33/100 × 4,400= 1,452

Number of families that eat out once a week = 12/100 × 10,000= 1,200

Based on the survey data, the actual number of businesspeople that eat out once a week is bigger than the actual number of families that eat out once a week.

Hence, the market segment of businesspeople is bigger than the market segment of families.

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Answer:

=d

Step-by-step explanation:

c=5 , 5-7= -2.............

brainliest pls

Answer:

2 and 5 hundredths

Step-by-step explanation:

3 - 1 = 2

14 hundredths - 9 hundredths = 5 hundredths

hence you get 2 and 5 hundredths

The generalization about cedar trees is that the height of cedar trees varies from the mean by an average of 107.5

Average is the quotient obtained by dividing the sum total of a set of figures by the number of figures.

The IQR is the inter quartile range of a data. This means 50% of the data is the inter quartile range.

This means 50/100 × 492

= 246

The range is the difference between the largest and smallest

Range = 210 -16

= 194

Average = sum of height/ number of trees

= 210+16+40+130+49+200

= 107.5

therefore the average height of cedar tree is 107.5

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True for one value: -1

True for no values: 0

True for all values: 5

ANSWER

EXPLANATION

Given;

Recall;

Therefore, the time taken is 3.2hours.

Answer:

5

Step-by-step explanation:

First, we can add the whole numbers together.

1 + 3 = 4

Next, we know that the denominators (base/bottom of fraction) of the fractions are the same, meaning we simply add the numerators (top of fraction).

1/3 + 2/3 = 3/3

3/3 is equal to 1.

Now, we add the 4 from above to this 1 to get our answer, 5.

Feel free to comment down if this doesn't make sense, and I can explain it in a different way.

The number of pivot columns of a matrix equals the dimension of its column space is true statement.

As given in the question,

The number of pivot columns of a matrix equals the dimension of its column space is true statement as per following reasons

Therefore, the number of pivot columns of a matrix equals the dimension of its column space.

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approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

In a normal distribution, approximately 50 % of the values lie below the mean.

A normal distribution is symmetric around its mean, with the mean located at the center. Since the distribution is symmetric, half of the values will fall below the mean and the other half will fall above the mean.

Therefore, approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

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Approximately 50% of the values lie below the mean in a normal distribution.

In a normal distribution, the mean is located at the center of the distribution. The distribution is symmetric, meaning that there are an equal number of values on both sides of the mean. To determine the percentage of values below the mean, we need to find the area under the curve to the left of the mean.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, approximately 50% of the values lie below the mean. This means that if we were to calculate the area under the curve to the left of the mean, it would be approximately 0.5 or 50%.

It's important to note that in a normal distribution with a different mean and standard deviation, the percentage of values below the mean may vary. However, the concept remains the same - the area under the curve to the left of the mean represents the percentage of values below the mean.

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Answer:

2/7

Step-by-step explanation:

The expected value of X is 12. The random variable x is known to be uniformly distributed between 3 and 13.

If the random variable X is uniformly distributed between 3 and 13, then the probability density function f(x) of X is given by:

f(x) = 1 / (13 - 3) = 1/10, for 3 <= x <= 13

The expected value of X, denoted E(X), is defined as:

E(X) = ∫[from 3 to 13] x f(x) dx

Using the probability density function, we can rewrite this as:

E(X) = ∫[from 3 to 13] x (1/10) dx

Integrating with respect to x, we get:

E(X) = [(1/10) * x^2 / 2] [from 3 to 13]

E(X) = (1/10) * [(13^2 - 3^2) / 2]

E(X) = (1/10) * 120

E(X) = 12

Therefore, the expected value of X is 12.

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Answer: x2+10x-75= (x-5)(x+15)

Step-by-step explanation:

Ok so we factor by thinking of numbers that can add to 10 and multiple to get -75. so those 2 numbers were -5 and 15. Hope this helps xD

Answer:

(x+15)(x-5)

Step-by-step explanation:

x²+10x-75= x²+15x-5x-75

=x(x+15)-5(x+15)

=(x+15)(x-5)

Answer:

$8.99

Step-by-step explanation:

1 pound = 16 ounces

y pound = 8 ounces

\(\frac{1}{16} :\frac{y}{8}\)

y · 16 = 1 · 8

16y = 8

16y ÷ 16 = 8 ÷ 16

y = 0.5

0.5 pound = 8 ounces

----------------------------------

1 pound = $17.98

0.5 pound = y

\(\frac{1}{17.98} :\frac{0.5}{y}\)

y · 1 = 17.98 · 0.5

y = $8.99

The estimated value of g₂ₓ(1, 3) for the function g(x, y) = 5x^2y using h = 0.01 is approximately 1515.

Q1.1 (a) The correct limit definition of fy(a, b) is:

f(a, y + h) - f(a, y)

This expression represents the difference quotient, which is used to find the partial derivative of a function with respect to y. It measures the rate of change of the function f with respect to y as the variable y changes.

To find the partial derivative fy(a, b), we fix the value of x at a constant value a and consider how the function f changes with respect to y.

Q1.2 (b) We are given the function g(x, y) = 5x^2y and we need to estimate the value of g₂ₓ(1, 3) using h = 0.01.

The partial derivative g₂ₓ represents the rate of change of g with respect to x. To estimate this value, we can use the following formula:

g₂ₓ(a, b) = (g(a + h, b) - g(a, b)) / h

Substituting the values a = 1, b = 3, and h = 0.01 into the formula, we get:

g₂ₓ(1, 3) ≈ (g(1 + 0.01, 3) - g(1, 3)) / 0.01

Now let's calculate the values:

g(1 + 0.01, 3) = 5(1 + 0.01)^2(3) = 5(1.01)^2(3) ≈ 15.15

g(1, 3) = 5(1)^2(3) = 5(1)(3) = 15

Plugging these values into the formula:

g₂ₓ(1, 3) ≈ (15.15 - 15) / 0.01 ≈ 15.15 / 0.01 ≈ 1515

Therefore, the estimated value of g₂ₓ(1, 3) for the function g(x, y) = 5x^2y using h = 0.01 is approximately 1515.

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Answer:

15 + 5w ≥ 75

Step-by-step explanation:

Let the number of weeks be represented as w.

We are told from the question that:

Charles is saving $5 each week from his allowance. He already saved $15 from the money he earned from mowing his neighbor's lawn.

The word "at least" in mathematics means equal to or greater than and it is represented by the sign ≥

Therefore, our inequality equation is written as:

15 + 5w ≥ 75

Answer:  f=15h+200

Step-by-step explanation:

h=hours
15$ and hour
mutiply hours and dollars add base pay
f for total money made :)

Answer:

240 citizens

Step-by-step explanation:

\(\frac{3}{5}\) * 400 = 240

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:

What?

Step-by-step explanation:

Okay, the formula, then what?

Answer:

the answer is v=bh/3

Step-by-step explanation:

I solve for V since you didn't put what letter you wanted the question to be solved for.

hope this helps.

Answer:

2

Step-by-step explanation:

(0,2) is the y-intercept

Answer:

Step-by-step explanatio

23.2

Yes, a decimal has repeating digits after the decimal point is converted into a fraction.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal is a term that frequently refers to the method of representing numbers in the decimal system.

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have a recurring 3 after the decimal point

Then 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3.

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The sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.

To add the numbers 18.420 and 28.49, we align the decimal points and perform the addition. After adding the numbers, we obtain a sum of 46.910. However, we need to round the answer to the correct number of significant figures.

The rule for determining the number of significant figures in addition is to retain the same number of decimal places as the number with the fewest decimal places being added. In this case, 18.420 has three decimal places, while 28.49 has two decimal places. Therefore, we round the sum to two decimal places: 46.910 rounded to two decimal places is 46.91.

Thus, the sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.

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Answer:

y = 2x

Explanation:

To write the equation of a line u use the formula y = mx + b, where

y = y coordinate

m = slope

x = x coordinate

b = y intercept

One thing about parallel lines is that they always have the same slope. If you want to find a line parallel to y = 2x + 3, then the parallel line will also have a slope of 2.

So far, then, the equation would look like this: y = 2x + b

To find the y-intercept, we substitute in the values from (3,6) into the equation because the line passes through that point. So:

y = 2x + b

(6) = 2(3) + b

6 = 6 + b

6 - 6 = b

b = 0

Since the y-intercept is 0 (so the line passes through the origin), it doesn't need to be written on to the end of the equation.

y = 2x + 0 is just

y = 2x

That's your final equation! hope this helps!