What is the product of 2x3 +9 and x3 +7?
​

Answer:

The most accurate answer would be C. y=2.1x

Step-by-step explanation:

I hope this helps :3

To determine the number of miles you and your friend need to drive for the cost to be the same between the SUV dealership and the Acura dealership, we can set up an equation using the given information and solve for the miles.

Let's assume the number of miles driven is represented by 'x'. For the SUV dealership, the total cost would be $30 (flat rate) plus 10 cents per mile, which can be expressed as $0.10x. Therefore, the total cost for the SUV dealership is given by the equation: 30 + 0.10x.

For the Acura dealership, the total cost would be $40 (flat rate) plus 5 cents per mile, which can be expressed as $0.05x. Hence, the total cost for the Acura dealership is given by the equation: 40 + 0.05x.

To find the mileage where the costs are equal, we set the two equations equal to each other and solve for 'x':

30 + 0.10x = 40 + 0.05x.

Simplifying this equation, we subtract 0.05x from both sides to get:

0.10x - 0.05x = 40 - 30.

This reduces to 0.05x = 10.

To isolate 'x', we divide both sides by 0.05:

x = 10 / 0.05 = 200.

Therefore, you and your friend would need to drive 200 miles for the cost to be the same between renting a car from the SUV dealership and renting a car from the Acura dealership.

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Answer:

  (x, y) = (29, 53)

Step-by-step explanation:

You want to solve this system of equations by substitution:

Substituting the first equation's expression for y into the second equation, we have ...

  3x -34 = 2x -5

  x = 29

Then substituting for x in the second equation gives ...

  y = 2(29) -5 = 53

The solution is (x, y) = (29, 53).

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Answer:

a=4

Step-by-step explanation:

what minus 4=8? its 12. 12-4=8 so

what times 3 is 12? 4.

3*4=12

12-4=8

a=4

Answer:

Solution given:

\(2\frac{4}{5}.3\frac{1}{8}\)

=2*3*\(\frac{4*1}{5*8}\)

But I don't think its a. right question.

for more detail look below but answer is above

Solution given:

L.H.S

\(2\frac{4}{5}.3\frac{1}{8}\)

converting mixed fraction to normal fraction

\(\frac{2*5+4}{5}.\frac{3*8+1}{8}\)

\(\frac{14}{5}.\frac{25}{8}\)

over here dot[.] means multiply

now

=\(\frac{14*25}{5*8}=\frac{350}{40}\)

while

dividing 350 by 40,we get

Quotient=8

remainder=30

In mixed fraction=8\(\frac{30}{40}=8\frac{3}{4}\)

Answer:

-5y - 8.3xy

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

y(-5 - 8.3x)

Step 2: Expand

The angle vector 'a' makes with the positive x-axis is 90° to 180°.

A vector is a quantity that has magnitude as well as direction one such example of this is velocity where we describe speed and direction also.

Given a vector a with two components one in the x direction and another one in the y direction.

The x component of the vector ax < 0 which is on the 2nd quadrant and the y component of the vector is ay > 0 which we join to the tail of the component ax.

∴ The angle it makes with the positive x-axis is 90° to 180° as it is on the second quadrant.

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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The small bag is priced at £2.40/kg, while the large bag is priced at £1.83/kg. Therefore, the large bag is the better value, as it offers a lower cost per kilogram compared to the small bag.

To calculate the cost of 1 kg for the small and large bags, we need to determine the cost per gram for each bag and then convert it to the cost per kilogram.

Bag sizes and prices are:

Small bag: 250 g for 60p

Medium bag: 1 kg for £1.80

Large bag: 3 kg for £5.50

To calculate the cost per gram for each bag:

Small bag: 60p / 250 g = 0.24p/g

Large bag: £5.50 / 3000 g = 0.00183 £/g

To convert the cost per gram to cost per kilogram:

Small bag: 0.24p/g * 1000 g/kg = 240p/kg = £2.40/kg (rounded to 2 decimal places)

Large bag: 0.00183 £/g * 1000 g/kg = £1.83/kg

Therefore, the cost of 1 kg for the small bag is £2.40, and the cost of 1 kg for the large bag is £1.83.

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Answer:

\((f+g)(x) = -8x-6\)

Step-by-step explanation:

We are given the two functions:

\(\displaystyle f(x) = -5x - 4 \text{ and } g(x) = -3x - 2\)

And we want to find:

\((f+g)(x)\)

Recall that this is equivalent to:

\(\displaystyle (f+g)(x) = f(x) + g(x)\)

Substitute and simplify:

\(\displaystyle \begin{aligned} (f+g)(x) &= (-5x-4)+(-3x-2) \\ \\ &= -8x-6 \end{aligned}\)

In conclusion:

\((f+g)(x) = -8x-6\)

Explanation

Two Angles are Complementary when they add up to 90 degrees

Step 1

Let

Step 2

2. and 3.

Step 3

4.

finally, replace the value of BOC to find angle AOC

I hope this helps you

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

y - 1= 0.25(x - 6)

Step-by-step explanation:

because.

The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.

To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate

To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.

In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.

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Answer:

801.66

Step-by-step explanation:

calculator

Answer:

801.6632653061

Step-by-step explanation:

.......

Answer:

A. 1 in 6 jeans or 16.67% or \(\frac{1}{6}\)

B. 15

Step-by-step explanation:

B. \(\frac{1}{6} = \frac{x}{90}\)

If you have any questions feel free to ask in the comments

Answer:17

Step-by-step explanation:

Number them in order from lowest to highest and find the median it will help with finding the Q1

The correct option is 'The domain of both functions is all real numbers'.

According to statement

Here, functions are f(x) = 5x and g(x) =5x

Since the domain of f(x) is, D= { x : x belongs to all real numbers.}

Therefore, Domain of f(x) is all real numbers.

Since f(x) and g(x) have the same value,

Therefore, Domain of g(x) is also the set of real numbers.

Now, range of f(x) is , R=  { 5x : x belongs to all real numbers.}

Therefore, Range of f(x) is all real numbers.

Range of g(x) is also all real numbers.

So, we can say by the above explanation, only option (1) is correct.

DISCLAIMER: The question was incomplete. Please find the full content below.

QUESTION

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x

g(x) = 5x

Which statements could he include in his explanation? Check all that apply.

1. The domain of both functions is all real numbers.

2. The domain of f(x) is x > 5.

3. The domain of g(x) is x > 5.

4. The range of both functions is y > 5.

5. The range of f(x) is y > 0.

6. The range of g(x) is y > 0.

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We can estimate that B × T is roughly 0.57, or equivalently, T is roughly 0.57 / B.

Assuming that the rumor spreads according to the logistic law, we can use the following formula to estimate the number of people who will hear the rumor by 5 pm:

\(P(t) = K / (1 + A \times e^{(-B\times t)})\)

where:

P(t) is the number of people who have heard the rumor by time t,

K is the maximum possible number of people who can hear the rumor (in this case, the total population of the town, which is 10,000),

A and B are constants that determine the shape of the logistic curve, and

e is the mathematical constant approximately equal to 2.71828.

To solve for A and B, we need to use the information given in the problem. We know that at noon, 4,000 people have heard the rumor. Let's assume that "noon" corresponds to t=0 (i.e., we start counting time from noon). Then we have:

\(P(0) = 4,000 = K / (1 + A \times e^{(-B\times 0)})\)

4,000 = K / (1 + A)

1 + A = K / 4,000

We also know that the logistic law predicts that the number of people who hear the rumor will eventually level off and approach the maximum value K. Let's assume that the leveling off occurs after a long time T (which we don't know). Then we have:

P(T) = K

We can use these two equations to solve for A and B:

A = (K / 4,000) - 1

B = ln((K / 4,000) / (1 - K / 4,000)) / T

where ln denotes the natural logarithm.

Unfortunately, we don't know the value of T, so we can't calculate B directly. However, we can make an educated guess based on the shape of the logistic curve. Typically, the curve starts out steeply and then levels off gradually. Therefore, we can assume that the time it takes for the curve to reach 90% of its maximum value is roughly equal to T. In other words, we want to solve for T such that:

\(P(T) = 0.9 \times K\)

Substituting the expression for P(t) into this equation, we get:

\(0.9 \times K = K / (1 + A \times e^{(-BT)})\\0.9 = 1 / (1 + A \times e^{(-BT)})\\1 + A \times e^{(-BT)} = 1 / 0.9\\A \times e^{(-BT)} = 1 / 0.9 - 1\\e^{(-B\times T)} = (1 / 0.9 - 1) / A\\B \times T = -ln((1 / 0.9 - 1) / A)\)

Plugging in the values for K and A, we get:

A = (10,000 / 4,000) - 1 = 1.5

\(B \times T = -ln((1 / 0.9 - 1) / 1.5) = 0.57\)

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the fraction of four-digit positive integers containing only digits from the set {2,4,6,8} that have at least one of their digits repeated is 29/32.

First, let's determine the total number of four-digit positive integers using digits from the set {2,4,6,8}. Since there are 4 choices for each of the 4 digits, there are a total of 4^4 = 256 possible integers.

Next, we'll count the number of four-digit integers without any repeating digits. Since there are 4 choices for the first digit, 3 choices for the second digit, 2 choices for the third digit, and 1 choice for the last digit, there are a total of 4! (4 factorial) = 4 x 3 x 2 x 1 = 24 integers without any repeating digits.

Now, to find the number of integers with at least one repeating digit, we can subtract the number of integers without any repeating digits from the total number of integers: 256 - 24 = 232 integers.

Finally, to find the fraction of these integers with at least one repeating digit, we'll divide the number of integers with at least one repeating digit by the total number of integers: 232/256 = 29/32.

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The constant of proportionality is 2.

What are direct and indirect variations ?

One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.

When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.

A proportional relationship is described by ...

y = kx

The value of k can be found by dividing by x:

k = y/x

For the given non-zero point (3,6), the value of k is found to be ...

k = 6/3 = 2

 k = 2

The constant of proportionality is 2.

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The total number of ways to achieve a Straight is 10,240.

The total number of ways to achieve a Flush is 5148.

The total number of ways to achieve a Full House is 312.

The total number of ways to achieve a Straight Flush is 40.

What is number of ways?

The term "number of ways" refers to the total count of possible arrangements or combinations of a set of objects or events. It is often used in combinatorics, which is the branch of mathematics concerned with counting and arranging objects.

a) A Straight: There are 10 possible sequences of 5 cards of sequential rank (e.g., 2, 3, 4, 5, 6 or 10, J, Q, K, A), and for each sequence, there are \(4^5\) = 1024 ways to choose the suits of the cards. Therefore, the total number of ways to achieve a Straight is 10 * 1024 = 10,240.

b) A Flush: There are 4 suits in the deck, and for each suit, there are (13 choose 5) ways to choose 5 cards of that suit. Therefore, the total number of ways to achieve a Flush is 4 * (13 choose 5) = 5148.

c) A Full House: There are 13 ranks in the deck, and for the 3 cards of one rank, there are (4 choose 3) = 4 ways to choose the suits, and for the 2 cards of another rank, there are (4 choose 2) = 6 ways to choose the suits. Therefore, the total number of ways to achieve a Full House is 13 * 4 * 6 = 312.

d) A Straight Flush: There are 10 possible sequences of 5 cards of sequential rank (as in part a)), and for each sequence, there are 4 ways to choose the suit of the cards. Therefore, the total number of ways to achieve a Straight Flush is 10 * 4 = 40.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

No!

Step-by-step explanation:

3/4 does NOT go into 80/100 because say if you had 3 shiny quarters out of 4 quarters total that is equal to 75 cents of shiny quarters but if you were to have 100 pennies and 80 of them were shiny that is 80 cents worth of shiny pennies.

Hope that helped :)

100 in^2 bc you have to do l x w x h

yttdfh;;;;;;;;////////////////

That's what you said but backwards :P

The power set in roster notation requires listing all the possible subsets of a set, including the empty set and the set itself. The number of subsets in a power set can be calculated using the formula 2^n, where n is the number of elements in the original set.

The power set of a set is the set of all its subsets, including the empty set and the set itself. To write out the power set in roster notation, we need to list all the possible subsets of a given set.
(a) The set {a} has two subsets: {a} and {}. Therefore, the power set of {a} in roster notation is {{}, {a}}.
(b) The set {1,2} has four subsets: {1,2}, {1}, {2}, and {}. Therefore, the power set of {1,2} in roster notation is {{}, {1}, {2}, {1,2}}.
It is important to note that the cardinality (number of elements) of the power set of a set with n elements is 2^n. For example, the set {1,2} has two elements, so its power set has 2^2 = 4 subsets. Similarly, the set {a} has one element, so its power set has 2^1 = 2 subsets.
In conclusion, writing out the power set in roster notation requires listing all the possible subsets of a set, including the empty set and the set itself. The number of subsets in a power set can be calculated using the formula 2^n, where n is the number of elements in the original set.

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The probability of making exactly 4 shots is 4/5, in where 4 is outcomes Favour to me and 5 is total possible outcomes.

The probability is measured as the ratio of favorable outcomes of a particular event to the total possible outcomes of that event. The value of probability should be lies between 0 to 1.

The term favorable outcome uses to determine the probability in mathematics. It is the possibility of happening expected incident of a particular event.

the ways in how i can make exactly 4 shots in the game = my favorable outcomes/total possible outcomes

                                                             =4/5

hence, the result is 4/5.

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