1 = 7u solve for u. You must write your answer in fully simplified form.

Answer:

I'm pretty sure your just confused. ^^

Step-by-step explanation:

Answer:

Your right

Step-by-step explanation:

The solution to the given system is (-30, 80)

The solution to the given system of the equation of line is the point where both lines intersect.

From the given diagram, we can see that the lines intersect at a coordinate point (x, y)

The location of these coordinate point on the xy-plane is (-30, 80). Hence the solution to the given system is (-30, 80)

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Answer:

The answer is (30,90)

Step-by-step explanation:

the reason is because it says to round to the nearest tenth the numbers not rounded is 32.6 and 86.6

The points of inflection are x = 0, x = -∞, and x = ∞. These three points lie on the vertical line x = 0.

To find the points of inflection, we need to take the second derivative of the function y = (1 + x)/(1 + x²):

y' = (1 - x²)/[(1 + x²)²]
y'' = (-6x)/[(1 + x²)³]

To find the points of inflection, we need to set y'' = 0 and solve for x:

0 = (-6x)/[(1 + x²)³]
0 = -6x

This gives us three possible values for x: x = 0 (where the second derivative changes sign), and x = ±∞ (where the second derivative approaches 0).

To determine which of these points are points of inflection, we need to look at the sign of the second derivative on either side of each point. If the sign changes, then it is a point of inflection. If the sign stays the same, then it is not a point of inflection.

At x = 0, the second derivative changes sign from negative to positive, so this is a point of inflection.

At x = ±∞, the second derivative is always 0, so these are not points of inflection.

Therefore, the points of inflection are x = 0, x = -∞, and x = ∞. These three points lie on the vertical line x = 0.

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Answer:

Their are many other answers to this question this is one of the ones that are correct.

(a) The actual cost incurred in producing the 1001st unit is 4000.799 dollars.

(b) The marginal cost when q = 1000 is dC/dq evaluated at q = 1000.

(a) To find the actual cost incurred in producing the 1001st and the 2001st unit, we can substitute the values of q into the cost function C(q) = 2000 + 2q - 0.00019q^2.

For the 1001st unit (q = 1001):

C(1001) = 2000 + 2(1001) - 0.00019(1001)^2

Calculating this expression will give us the actual cost incurred for producing the 1001st unit.

For the 2001st unit (q = 2001):

C(2001) = 2000 + 2(2001) - 0.00019(2001)^2

Similarly, calculating this expression will give us the actual cost incurred for producing the 2001st unit.

The actual cost incurred in producing the 1001st unit is 4000.799 dollars.

(b) The marginal cost represents the rate at which the cost changes with respect to the number of units produced. Mathematically, it is the derivative of the cost function C(q) with respect to q, i.e., dC/dq.

To find the marginal cost when q = 1000, we can differentiate the cost function C(q) with respect to q and evaluate it at q = 1000:

dC/dq = d/dq(2000 + 2q - 0.00019q^2)

Evaluate dC/dq at q = 1000 to find the marginal cost.

Similarly, to find the marginal cost when q = 2000, differentiate the cost function C(q) with respect to q and evaluate it at q = 2000.

Once we have the derivatives, we can substitute the corresponding values of q to find the marginal costs.

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A) The actual costs are:

C(1001) = 3,811.6

C(2001) = 5,241.2

B) The marginal costs are:

C'(1000) = 1.62

C'(2000) = 1.24

(a) To find the actual cost incurred in producing the 1001st and the 2001st unit, we need to substitute the values of q into the cost function C(q).

Given:

C(q) = 2000 + 2q - 0.00019*q²

For the 1001st unit (q = 1001):

C(1001) = 2000 + 2(1001) - 0.00019(1001)²

C(1001) = 3,811.6

For the 2001st unit (q = 2001):

C(2001) = 2000 + 2(2001) - 0.00019(2001)²

C(2001) = 5,241.2

(b) The marginal cost represents the rate of change of the total cost with respect to the number of units produced. To find the marginal cost at q = 1000 and 2000, we need to take the derivative of the cost function C(q) with respect to q.

Given:

C(q) = 2000 + 2q - 0.00019*q²

Taking the derivative:

C'(q) = dC(q)/dq = 2 - 20.00019q

Now, let's calculate the marginal cost when q = 1000:

C'(1000) = 2 - 20.000191000

Calculating:

C'(1000) = 2 - 20.000191000

C'(1000) = 2 - 0.38

C'(1000) = 1.62

The marginal cost when q = 1000 is $1.62.

Next, let's calculate the marginal cost when q = 2000:

C'(2000) = 2 - 20.000192000

Calculating:

C'(2000) = 2 - 20.000192000

C'(2000) = 2 - 0.76

C'(2000) = 1.24

The marginal cost when q = 2000 is $1.24.

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A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.

A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.

B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.

D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.

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Answer:

4.8%

Step-by-step explanation:

Answer:4.8

Step-by-step explanation:

Trust

Answer:

(6,9)

Step-by-step explanation:

the matches are

-2(2x+5) ≤ -7(x+4)         x<=-6

4x-3x-1                          x<=-1

5(x-3)9(x+1)                   x>=-6

3(x-4)+5 2x-9                x>=-2

Generally, Inequality is a mathematical statement that compares two values or expressions and indicates whether they are equal or not equal, or which one is greater or smaller. Inequalities are expressed using symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, 5 < 8 is an inequality that indicates that 5 is less than 8, and x + 3 ≥ 7 is an inequality that indicates that the value of x plus 3 is greater than or equal to 7.

Inequalities are commonly used in algebra and other branches of mathematics to represent relationships between quantities.

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The correct matching of the inequalities can be shown from the calculations below

Inequalities are an important tool in mathematical modeling and optimization problems, where they are used to express constraints and objective functions.

Using the principle of inequalities we have;

1) -2(2x + 5) ≤ - 7(x + 4)

-4x -10 ≤ -7x -28

-4x +7x ≤ -28 + 10

3x ≤ -18

x ≤ -6

2) 4x - 6/2 ≥ 3x - 1

4x - 6 ≥ 6x - 2

4x - 6x ≥ -2 + 6

-2x ≥ 4

x  ≤ -2

3) 5(x - 3) ≤ 9(x + 1)

5x - 15  ≤ 9x + 9

5x - 9x  ≤ 9 + 15

-4x  ≤ 24

x ≥ -6

4) 3(x - 4) + 5 ≥ 2x - 9

3x - 12 + 5≥ 2x - 9

3x - 2x ≥ -9 + 12 -5

x ≥ -2

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a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."

An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.

Some key features regarding the F-statistics are-

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The equation of the parabola is: y = -225/32 x² + 3400x - 7250 where y represents the number of cars on the highway and x represents the time between 6 a. m. and 10 a. m.

The function of the parabola that models the number of cars on the highway at any time between 6 a. m. and 10 a. m. can be obtained by following these steps:

Firstly, we need to find the equation of the parabola that passes through the points (6, 4000), (8, 6500) and (10, 4000). The equation of a parabola is y = ax² + b x + c.

Using the three given points, we can form a system of three equations:4000 = 36a + 6b + c6500 = 64a + 8b + c4000 = 100a + 10b + c

Solving the system of equations gives a = -225/32, b = 3400, and c = -7250.

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a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073

A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.

Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.

μ=22

σ=2

X≈N(22,2)

a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)

=1-P(Z≥2)

=1-P(Z<2)

=1-0.97725

=0.02275

b) Let a is the 71th percentile of X,

P(X≤a)=0.71

P((X-μ)/σ)≤(a-μ)/σ)=0.71

P(Z≤z)=0.71

From the standard normal table by calculating with z value, we get

a=24.073

Therefore,

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073.

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To solve the problem of a vibrating string with damping using numerical methods and time steps, follow these steps:

1. Discretize the string into a set of points along its length.

2. Use a finite difference method, such as the central difference method, to approximate the derivatives in the equation.

3. Apply the difference equation to each point on the string, considering the damping force and given parameters.

4. Set up the initial conditions for the string's displacement and velocity at each point.

5. Iterate over time steps to update the displacements and velocities at each point using the finite difference equation.

6. Compute and store the values of the solution at selected points for analysis.

7. Compare the numerical solution with the analytical solution, if available, to assess accuracy.

8. Plot the results to visualize the behavior of the vibrating string over time.

9. If using MATLAB, write a script to implement the numerical method and generate plots.

Note: The specific equation and initial conditions are missing from the given question, so adapt the steps accordingly.

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Hence, if you merely move north or east on the grid map, there are 126 distinct ways to get to the Tower of London.

A way to arrange things or elements in a particular order is through permutation. In other terms, an orderly rearranging of a set of elements is referred to as a permutation. The symbol n! indicates how many different combinations there are for a set of n elements. Factorial, denoted by an exclamation mark, signifies dividing the number by all positive integers that are less than it by one. For instance, there are 4! = 4 x 3 x 2 x 1 = 24 permutations for a set of 4 items. In several branches of mathematics, including combinatorics, probability, and statistics, permutations are used.

given

You must go 4 blocks north and 5 blocks east to reach the castle. You must make a total of 9 moves to get to the castle because you can only go north or east (4 north and 5 east). Consider this to be a combination problem in which you must select 4 of the possible 9 moves to be in the north and the remaining 5 to be in the east.

Using the combination formula, we can write:

\(C(9,4) = 9! / (4! * (9-4)!) = 126\)

Hence, if you merely move north or east on the grid map, there are 126 distinct ways to get to the Tower of London.

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Assuming that a person is tested twice and that the results of the tests are independent from each other, the probability that the person has the disease after testing positive twice can be found using Bayes' theorem.

Bayes' theorem provides a way to update the probability of an event based on new evidence. In this case, the probability of having the disease given two positive test results can be calculated using the probability of testing positive given the disease and the probability of having the disease before the test.

The formula for Bayes' theorem is as follows: P(A|B) = P(B|A) * P(A) / P(B), where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the marginal probability of event B. In this case, let event A be having the disease and event B be testing positive twice.

The probability of testing positive given the disease is the sensitivity of the test, and the prior probability of having the disease is the prevalence in the population. The marginal probability of testing positive twice can be found by multiplying the probability of testing positive once by itself.

To summarize, the probability that a person has the disease after testing positive twice can be calculated using Bayes' theorem. The probability of testing positive given the disease is the sensitivity of the test, and the prior probability of having the disease is the prevalence in the population. The marginal probability of testing positive twice can be found by multiplying the probability of testing positive once by itself.

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Answer:

x=3

z=112

Step-by-step explanation:

9x-27 needs to be solved for x.

Set the equation equal to zero.

9x-27=0

Now add 27 to both sides.

9x=27

Divide both sides by 9

x=3

Plug 3 into 5x+53 to find the angle.

5(3)+53=15+53=68.

Since 5x+53 and Z are  on the same line, that means, when added together, they equal 180 degrees. Subtract 68 from 180.

z=112

r = 42 - 3.50m is the equation to represent, r, the amount of money remaining in Shawna's lunch account after she purchases m meals, -3.5 is the slope and 42 is y intercept.

To represent the amount of money remaining in Shawna's lunch account after she purchases m meals, we can use the equation:

r = 42 - 3.50m

r represents the amount of money remaining in Shawna's lunch account.

42 represents the initial amount of money loaded into her account at the start of the school year.

3.50 represents the cost of each meal in the school cafeteria.

m represents the number of meals Shawna has purchased.

Now let's determine the slope and y-intercept of this equation:

The slope represents the rate at which the money in Shawna's account decreases with each meal purchase.

The slope is -3.50, indicating that $3.50 is subtracted from her account for each meal.

The y-intercept represents the initial amount of money in Shawna's account, which is $42.

This is the value of r when m is 0 (before any meals are purchased).

Therefore, the slope is -3.50 and the y-intercept is 42.

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Answer:

It is in step 2

Step-by-step explanation:

they don't multiply the 5 as well

Answer:

The sum of 2 numbers is 17. One is 3 less than 2/3 of the other number. What is the lesser number

Step-by-step explanation:

The ratio of CHERRIES to GRAPES is 3:2.

The ratio of GREEN APPLES to GRAPES is 2:1.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

In a bag of jolly ranchers, it consisted of:

15 cherry, 20 green apple, 17 blue raspberry, 10 grape and 13 watermelon.

So, the ratio of cherries to grapes

= 15 / 10

= 3/ 2

and, the ratio of Green apples to Grapes

= 20 / 10

= 2

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Answer:

Quadrant III

Step-by-step explanation:

because in quadrant III there is both negative terms

Answer: D

Step-by-step explanation:

Answer:

22 Magnets

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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The two percentages (for winning and not winning) must always add to 100%, which you can think of 100% of a pie. So 100-35 = 65 showing that 35+65 = 100.

Answer:

There is a 65% probablility of not winning a prize.

Step-by-step explanation:

The 35% chance of winning a prize is taken out of a total percentage of 100. If you subtract 35 from 100, the remaining number, 65, is the probability of not winning, since there are only two possible outcomes.

Answer:

8 and yes

Step-by-step explanation:

c² - b² = a²

100 - 36 = a²

64 = a²

a = 8

the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.

Answer:

⅛ cups per waffle

Step-by-step explanation:

Answer:

d = 288

Step-by-step explanation:

Answer:

d = 24

Step-by-step explanation:

hope this helps!!!