Find the LCM of x2 + x,x2-1,x2-x

Answer:

7 cm.

The triangle dimensions are:  50, 27, and 7 cm

Step-by-step explanation:

The three sides of the triangle make up the entire perimeter.  Add each side and set the result equal to 84cm, the perimeter.

(7x+1) + (4x-1) + (14-x) = 84 cm

10x + 14 = 84

10x = 70

 x = 7 cm

Use x=7 to find the three dimensions:

1)  (7x+1) = 50 cm

2)  (4x-1) = 27 cm

3)  (14-x) = 7 cm

Do these add to 84 cm?

 (50+27+7) = 84 cm  YES

The relation represents y as a function of x as for each value of x there is a unique value of y.

A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).

The given data is as follows,

A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1).

Here x is the element of domain and y is of the range of the given relation.

Here, the values of y are distinct for different values of x.

Hence, the given relation represents y as a function of x  because for each value of x there is a single value of y.

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Answer:

\(( - 4) \times 2 \frac{3}{5} =(- 4) \times \frac{13}{5} = \frac{ (- 52)}{5} \\ = \boxed{ - 10.4}\)

Answer:

-12/5

Step-by-step explanation:

2 and 3/5 can be changed to 13/5

multiply -4 by 3/5 to get -12/5

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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The value of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence is -1.717. Which is an option (C).

For the purpose of determining whether the mean value of a population is equal to a specific value or not, the t-distribution is used. One of the most critical features of the t-distribution is that it is used when the sample size is less than 30 or when the population's standard deviation is unknown.

T-distributions are a collection of theoretical probability distributions that arise from the normal distribution and are used in hypotheses testing. The critical values of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence are given by the t-distribution table.

Given that the sample size is 22, the degrees of freedom would be 22 - 1 = 21.

Therefore, At 95% confidence, t for a one-tailed test (lower tail) with 22 degrees of freedom is -1.717. Therefore, the correct option is (C).

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Answer: answer 199

Step-by-step explanation:

1.99/100 is 199

the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 199 rounded to the nearest hundred is:

200

Answer:

       P - 2W

L = ------------

           2

Step-by-step explanation:

You are being asked to solve P = 2L + 2W for the length, L.

Let's isolate 2L on the right side by subtracting 2W from both sides:

P - 2W = 2L

Dividing both sides by 2 isolates L:

       P - 2W

L = ------------

           2

:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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Answer:

x = 62

Step-by-step explanation:

the angle between a tangent and the radius at the point of contact = 90°

then Δ PTO is right

the sum of the 3 angles in the triangle = 180° , so

x = 180 - 90 - 28 = 180 - 118 = 62

Answer:

Step-by-step explanation:

TP is a tangent to the circle at centre O

means

TP is perpendicular to TO

Then

m∠OTP = 90°

Then

OTP is a right triangle

Then

x = 90 - 28

  = 62

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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Answer: 200 grams of oats, 0.96 liters of milk, 72 grams of sugar

Step-by-step explanation: 5 / 4 = 4/5. 4 is four-fifths of 5. So multiply everything by 4/5

250 * 4/5 = 200 grams

1.2* 4/5 = 0.96 liters

90* 4/5 = 72 grams

a) The area of the first circle is approximately 254.34 square inches

b) The area of the second circle is approximately 70650 square inches.

a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:

r = 18/2 = 9 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 9² = 254.34 square inches

Therefore, the area of the first circle is approximately 254.34 square inches.

b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:

25 feet = 25 x 12 inches = 300 inches

Then we can find the radius by dividing by 2:

r = 300/2 = 150 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 150² = 70650 square inches

Therefore, the area of the second circle is approximately 70650 square inches.

Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.

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a. The chart did not maintain consistent scaling

b. The graph is not the appropriate graph type to display such data

c.  The display had inaccurate or distorted visual representations

When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.

The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.

So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.

It also advisable to make use of  clear and accurate labeling with descriptive titles and units of measurement.

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Answer:

5/6

Step-by-step explanation:

1/2 times by 3 = 3/6

1/3 times by 2 = 2/6

then add these together to get 5/6

Based on the given values, we can compute the expected returns and expected standard deviations for different weightings of the stocks in the portfolio. The results are as follows:

a. When w1 = 1.00, the expected return of the two-stock portfolio is 0.13, and the expected standard deviation is 0.03.

b. When w1 = 0.65, the expected return of the two-stock portfolio is 0.1095, and the expected standard deviation is 0.0214.

c. When w1 = 0.60, the expected return of the two-stock portfolio is 0.104, and the expected standard deviation is 0.0222.

d. When w1 = 0.30, the expected return of the two-stock portfolio is 0.074, and the expected standard deviation is 0.0262.

e. When w1 = 0.10, the expected return of the two-stock portfolio is 0.038, and the expected standard deviation is 0.0324.

To calculate the expected return of the two-stock portfolio, we use the weighted average of the individual expected returns based on the given weights. For example, in part (a), where w1 = 1.00, the expected return is simply equal to E(R1) = 0.13.

To calculate the expected standard deviation of the two-stock portfolio, we use the formula:

σ = √(w1^2 * E(a1)^2 + w2^2 * E(q2)^2 + 2 * w1 * w2 * E(a1) * E(q2) * ρ)

where E(a1) is the expected standard deviation of stock 1, E(q2) is the expected standard deviation of stock 2, and ρ is the correlation coefficient.

Regarding the risk-return graph, without the specific details of the graph options provided, it is not possible to determine which graph is correct for the given weightings and correlation coefficient. The graph would typically depict the risk-return tradeoff for different weightings and correlation coefficients, showing the relationship between expected return and expected standard deviation of the portfolio.

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Answer:

a member would have to take 14 lessons versus a non-member which would only have to take 7

Answer:

2x-3= -6

Step-by-step explanation:

have a great day!

The value of k is equal to one-half (k = 1/2).

To determine the value of k in the table g(x) = f(kx), we need to analyze the relationship between the x-values in the table and the x-values in the graph of f(x).

Looking at the x-values in the table, we can see that they are all multiplied by a certain factor to obtain the corresponding x-values in the graph of f(x). The x-values in the table are -6, -3, 0, 3, and 6.

Comparing these x-values to the x-values in the graph of f(x), we notice that they are obtained by multiplying the x-values in the graph by 1/2. This means that k = 1/2.

Therefore, the value of k is equal to one-half (k = 1/2).

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The statement 2 is true i.e. He  is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be root multiplicities or complex.

Understanding the fundamental theorem of algebra, the number of roots of a polynomial equation must be equal to the degree of the equation. While been given any polynomial in factored form, we must expand the parentheses to find the highest-degree term.

For the equation  provided, simplified form could be x⁵ + 2x² = 0, and as looking at this polynomial and graphing it, it is evident that the total roots or solutions is equal to the highest exponent of the term x which is 5. Hence, Josh makes an incorrect statement.

The multiplicity of a root is the number of occurrences of the said root in the entire complete factorization of the polynomial, as by the means of the fundamental theorem of algebra. The root multiplicities are thus the repeated roots as involved in the full factorization process of a single equation of a polynomial.

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The correct question is:

Josh graphs a system of equations to determine the roots of the polynomial equation x⁵ = -2x²  . From the graph, he determines that there are two solutions to the equation. Which statement is true?

Answer:

12cos59, about 6.18

Step-by-step explanation:

cos59 = x/12

(adjacent/hypotenuse)

x = 12cos59

plugging this into a calculator gets you about 6.18

Answer:

18 kilometres

Step-by-step explanation:

Speed of the car is 72 kilometres per hour

means the car runs 72 kilometers within 60 minutes

so, the car will travel in 15 mins,

72×15/60

= 72/4 = 18 kilometres

Josh will pay a loan origination fee of $2,100 if the lender charges a fee of 0.75%.

To calculate the loan origination fee, we need to multiply the loan amount by the lender's fee percentage.

Loan origination fee = Loan amount x Lender's fee percentage

In this case, the loan amount is $280,000 and the lender's fee percentage is 0.75%.

Loan origination fee = $280,000 x 0.0075

Loan origination fee = $2,100

Therefore, Josh will have to pay a loan origination fee of $2,100.

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

hhhhhhuyihhoh bhouytre

The probability that the committee contains at least one man is 1 - (probability of selecting only women).

To find the probability, we need to determine the total number of possible committee combinations and the number of combinations with at least one man. There are 9 people (6 women + 3 men) to choose from, and we want to choose a committee of 4.

Total combinations = C(9,4) = 9! / (4!(9-4)!) = 126
Combinations of only women = C(6,4) = 6! / (4!(6-4)!) = 15

To find the probability of at least one man, we'll subtract the probability of selecting only women from 1:

P(at least one man) = 1 - (15/126) = 1 - 0.119 = 0.881

The probability that the committee contains at least one man is approximately 0.881, or 88.1%.

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Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Remember that we're using absolute values. A negative number plus a positive number is the same as a positive number subtracted by another positive number.

Divide the length of the longest side of triangle AFB by the longest side of triangle DHG to find the scale factor.

Triangle AFB: A=4 cm, B=5 cm, F=7 cm

Triangle DHG: D=2.8 cm, H=3.5 cm, G=4.9 cm

Scale factor = 7/4.9 = 1.43

Step by explanation

Step 1: Draw triangle AFB on a piece of paper.

Step 2: Measure the side lengths of triangle AFB and record them.

Step 3: Draw a second triangle, DHG, on the paper.

Step 4: Measure the side lengths of triangle DHG and record them.

Step 5: Divide the length of the longest side of triangle AFB by the longest side of triangle DHG to find the scale factor.

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