Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity

The Project Triangle is also known as the triple constraints model and consists of three elements: cost, time and scope.

The Project Triangle is also known as the Iron Triangle or Triple Constraints and is a graphical representation of the connection between project costs, schedule, and scope. It is one of the key principles of project management, and it is utilized to help organizations and project managers understand and handle trade-offs between different objectives of a project.

The three elements of the Project Triangle are:

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Domain: (-6, -1]

This is where the graph lines up with the x-axis.

Range: [-6, 4)

This is where the graph lines up with the y-axis.

See the two pictures for a visual reason why.

Answer:

w=32

Step-by-step explanation:

33+115+w=180

148+w=180

w=180-148

w=32

Given that the requests follow a Poisson probability distribution, with a mean of 37 calls per hour, and the service rate per line is 23 calls per hour. We need to find the probability of denied access, no waiting is allowed. Since the arrival rate is greater than the service rate, the system is unstable.

Therefore, the formula to find the probability of denied access is: `P0 = 1 - [∑n

=0 to c] (λ / μ)^n / n! + (λ / μ)^(c+1) / (c!(1-ρ))] Where c is the number of servers, λ is the arrival rate and μ is the service rate.ρ is the utilization factor, which is given by: `ρ = λ / μ`Putting the given values,

λ = 37 calls/hour

μ = 23 calls/hour

ρ = λ / μ = 37/23

∴ ρ = 1.61 Now, we have to find the value of c to use it in the formula. Since there is no waiting allowed, all requests should be serviced immediately. Therefore, the number of servers required will be equal to the number of requests. Hence, c = 1 (as each request is served by a single server)Now, we can substitute all the values in the formula and get the probability of denied access. `P0 = 1 - [(λ / μ)^n / n! + (λ / μ)^(c+1) / (c!(1-ρ))]`

`= 1 - [(37/23)^1 / 1! + (37/23)^2 / (1!(1-1.61))]`

`= 1 - [(37/23) + (37/23)^2 / (-0.61)]`

`= 0.92`Therefore, the probability of denied access, no waiting is allowed is `0.92`.

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9514 1404 393

Answer:

  CB = √6 cm

Step-by-step explanation:

The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.

Then the length CB is given by the Pythagorean theorem as ...

  CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm

  CB = √6 cm

Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem

it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.

To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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The researcher needs a sample of at least 46 days.

We have,

To estimate the true mean water temperature within 4 with 90% confidence, given that the variance is 27%, we need to use the formula for sample size in a confidence interval estimation:
n = (Z² x σ²) / E²
where n is the required sample size, Z is the Z-score corresponding to the desired confidence level (90%), σ^2 is the variance (27%), and E is the margin of error (4).

We can find the Z-score for a 90% confidence level using a standard normal table, which is 1.645.
Now we can plug the values into the formula:
n = (1.645² x 0.27) / 4²
n = (2.706025 x 0.27) / 16
n = 0.729625 / 16
n = 0.0456015625

Since we cannot have a fraction of a day, we need to round up to the nearest whole number to ensure the desired accuracy.

Therefore, the researcher needs a sample of at least 46 days to estimate the true mean water temperature within 4 with 90% confidence.

Thus,

The researcher needs a sample of at least 46 days.

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Answer:

876

Step-by-step explanation:

Answer: C

Step-by-step explanation: Edward took 18 positive steps in total. He took 14 negative steps total. 18-14=4. Therefore the correct answer is C.

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After 6 years with a 4% annual interest rate, the amount of money in your bank account would be approximately $125.06.

To calculate the amount of money in your bank account after 6 years with a 4% annual interest rate, we can use the formula for compound interest:

A = P(1 + r/100)^t

Where:

A = Final amount in the account

P = Initial amount (starting balance)

r = Annual interest rate

t = Number of years

In this case, the initial amount (P) is $100, the annual interest rate (r) is 4%, and the number of years (t) is 6.

Plugging these values into the formula:

A = 100(1 + 4/100)^6

Simplifying the equation:

A = 100(1.04)^6

A = 125.06

Therefore, after 6 years with a 4% annual interest rate, the amount of money in your bank account would be approximately $125.06.

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Answer:

Got this from the internet.

Step-by-step explanation:

The vertical line dividing the parabola into two equal portions is called the line of symmetry. All parabolas have a vertex, the ordered pair that represents the bottom (or the top) of the curve. The vertex of a parabola has an ordered pair \begin{align*}(h, k)\end{align*}.

Answer:

The saturday median is equal to the sunday median.

Step-by-step explanation:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

The null hypothesis for the significance test in this study is that the true mean difference in GPA between twins living in urban and rural areas is 0.

In hypothesis testing, the null hypothesis (H₀) represents the default assumption or the hypothesis of no effect or no difference. In this case, the null hypothesis states that there is no true mean difference in GPA between twins living in urban and rural areas, indicating that the living environment does not have any effect on GPA.

The alternative hypothesis (Hₐ) would propose that there is a significant difference in GPA between the urban and rural areas. The psychologists conducting the study would analyze the data and perform statistical tests to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

By setting the null hypothesis as a mean difference of 0, the researchers are essentially stating that they expect no systematic difference in the GPAs of twins living in urban and rural areas. Any observed differences in GPA would be considered due to random chance or factors unrelated to the living environment.

The significance test would then evaluate the data to determine if there is enough evidence to reject the null hypothesis and conclude that the living environment does have an effect on a student's GPA.

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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I assume the third term in the first problem should be -7x², not -7x³.

5x⁴ = 5x³•x, and

5x³ (x - 4) = 5x⁴ - 20x³

Subtract this from the dividend to get an initial remainder of

(5x⁴ - 2x³ - 7x² - 39) - (5x⁴ - 20x³) = 18x³ - 7x² - 39

Next, 18x³ = 18x²•x, and

18x² (x - 4) = 18x³ - 72x²

Subtract this from the previous remainder to get a new one of

(18x³ - 7x² - 39) - (18x³ - 72x²) = 65x² - 39

Next, 65x² = 65x•x, and

65x (x - 4) = 65x² - 260x

which gives a new remainder of

(65x² - 39) - (65x² - 260x) = 260x - 39

Next, 260x = 260•x, and

260 (x - 4) = 260x - 1040

which gives a final remainder of

(260x - 39) - (260x - 1040) = 1001

1001 does not divide x, so we're done, and we've shown that

\(\dfrac{5x^4-2x^3-7x^2-39}{x-4}=\boxed{5x^3+18x^2+65x+260+\dfrac{1001}{x-4}}\)

A similar process can be used to show

\(\dfrac{4x^4+5x-4}{x-2}=\boxed{4x^3+8x^2+16x+37+\dfrac{70}{x-2}}\)

Answer:

x=50

Step-by-step explanation:

+1x=50

divide both sides by 1

x=50

Answer:

x = 50

Step-by-step explanation:

If you divide anything by one, it will remain the same.

To isolate the x variable, you need to divide both sides by 1.

+1x/1 = 50/1

x = 50

hi, ansewer the question

this question answer is a cosine

Answer:

f(x)=2x−5 if x≤−3

Since the value of x is -3, the first function will be the correct option.

Step-by-step explanation:

The given function is -

f(x)=2x−5 if x≤−3

f(x)=−3x+4 if x>−3

Now we have to evaluate f(-3).

Since we have to calculate the value of f at x = -3, we have to choose the first function.

That is f(x) = 2x - 5.

Hence,

f(−3)=2∗(−3)−5=−6−5=−11

Therefore we have the value

f(−3)=−11

Since the domain of the function is divided into two parts, we have to choose any one function for a given value of x,

For values of x less than or equal to -3, we will use the first function. That is,

f(x)=2x−5 for all x∈(−∞,−3]

And for values of x greater than -3, we will use the second function. That means,

f(x)=−3x+4 for all x∈(−3,∞)

Answer:

Let's assume that the distance between Chicago and Hoopertown is represented by 'x' miles.

According to the given information:

Raymond lives 23 miles from Chicago, so the distance between Amanda and Chicago is 23 - 15 = 8 miles.

Since Amanda lives halfway between Charlie and Chicago, the distance between Charlie and Chicago is also 8 miles.

Therefore, the distance between Charlie and Hoopertown is x - 8 miles.

Since Charlie lives halfway between Chicago and Hoopertown, the distance between Raymond and Charlie is (x - 8) / 2 miles.

Given that Raymond lives 15 miles from Amanda, we can set up the following equation:

(x - 8) / 2 = 15

To solve for x, we can multiply both sides of the equation by 2:

x - 8 = 30

Next, we can isolate x by adding 8 to both sides of the equation:

x = 38

The diameter of the tree increased by 0.27in. (approximately) and the change in tree's cross section area is 27.5 in.².

As given in the question,

Diameter of the tree 'd' = 14in.

Radius = 7in.

Circumference of the tree = πd

                                            = 3.14 × 14

                                            = 43.96 in.

New circumference increased by 4 in. = 43.96 + 4

                                                                = 47.96in.

New diameter = 47.96 / 3.14

                        = 15.27 in. (approximately)

New Radius ≈ 7.6 in.

Increase in diameter= 15.27 - 15

                                  = 0.27 in.

Area of cross section original tree = 3.14 × 7²

                                                         = 153.9 in.²

New area of cross section original tree = 3.14 × 7.6²

                                                                 = 181.4 in.²

Change in area = 181.4 - 153.9

                          = 27.5 in.² ( approximately)

Therefore, increase in diameter is 0.27in. and change in cross - section area is 27.5 in.²

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Answer:

5400

Step-by-step explanation:

Given data

P= 5000

r= 8%

t= 1 year

The simple interest expression is given as

A= P(1+rt)

Required

The final amount A

substitute

A= 5000(1+0.08*1)

A= 5000*1.08

A= 5400

Hence the final amount 5400

Answer:

only A ans bellow

Step-by-step explanation:

let k= -4

A. k * (k - 1) * ( k - 2)

= -4 * (-4 -1) * ( -4 -2)

= -4* (-5) * (-6)

= 20*-6

= -120

B. k * ( k+1)

= -4 * ( -4+1)

= -4 * (-3)

= + 12

C. k * (-50)

= -4 * (-50)

= + 200

D . (50 - k)

= 50 - (-4)

= 50 + 4

= + 54

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if k is negative then k(k-1)(k - 2) will be definitely negative.

A number system is defined as a system of writing to express numbers.

Given that k is a  negative integer.

We need to find which of the given options are defnitely negative.

Let us consider k as -3.

k(k-1)(k - 2)

-3(-3-1)(-3-2)

-3(-4)(-5)=-60

Which is negative.

k(k+1)=-3(-3+1)=6 +ve

k (-50)=-3(-50)=150 +ve

(50-k)​=50-(-3)=53 +ve.

Hence, if k is negative then k(k-1)(k - 2) will be definitely negative.

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The probability that their average sulfate will be between 6.49 and 8.47 mg/l is 95%

According to the given information, the mean µ = 7.48 mg/L and standard deviation σ = 1.60 mg/L.

In order to determine the probability that average sulfate of sample size of 10 students i.e., n =10, the standard score (z-score) must be calculated.

Z = (x - µ)/ (σ/√n)

Z (x = 6.49) = (6.49 – 7.48)/ 1.6/√10) = - 1.96

Z (x = 8.47) = (8.47 – 7.48)/ 1.6/√10) = 1.96

Hence,

P(-1.96 ≤ Z ≤ 1.96) = P(z ≤ 1.96) – P(z ≤ -1.96)

From the table,

P(z ≤ 1.96) = 0.975

P(z ≤ -1.96) = 0.025

Therefore,

P(z ≤ 1.96) – P(z ≤ -1.96) = 0.975 – 0.025 = 0.95 or 95%

Note: The question is incomplete. The complete question probably is: Scientists at the Hopkins Memorial Forest in western Massachusetts have been collecting meteorological and environmental data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L. If 10 students measure the sulfate in their samples, what is the probability that their average sulfate will be between 6.49 and 8.47 mg/L?

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The value of c so that cx-d=2x+4 has No Solution is c=2.

In the given question ,

we have

cx-d=2x+4       ....(i)

Given that d = 2 ,

We substitute the value of d=2 in equation (i)

On substituting we get

cx-2=2x+4

Simplifying further we get

cx=2x+4+2

cx=2x+6

cx-2x=6

x(c-2)=6

x=6/(c-2)

For x to have NO SOLUTION the denominator should be 0.

because when denominator becomes 0 the value becomes not defined , hence will have no solution.

Substituting the denominator = 0

we get c-2=0

c=2.

Therefore , the value of c so that cx-d=2x+4 has No Solution is c=2.

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Answer:

D, E, G

Step-by-step explanation:

Quotient of 82 and a number=82/n

Decreased by 26

82/n-26

She evaluate the expression when n=2

82/n-26

When n=2

82/2-26

=41-26

=15

Answer

D. The correct expression is 82/n-26

E.The operations include division and subtraction.

G.The value of the expression is 15

Answer:

The correct answer is b,d,e,g

Step-by-step explanation:

Answer:

12 cubic inches

Step-by-step explanation:

volume of a cylinder= pi*r2*height

but we are given 36 as cylinder volume.

Therefore , 36 = pi*r2* height

r2*height = 36/pi, let call this equation 1

volume of a cone = pi*r2*height/3;

but from equation 1, r2*height =36/pi, substituting this value in volume of cone.

volume of cone= pi*(36/pi)/3 = 12 cubic inches

Answer:

a) 26.3% b) 58.5%

Step-by-step explanation:

(5/19) * 100 = 26.3

(72/123) * 100 = 58.5

Answer:

If x > 0 and y < 0, the point (x, y) must be located in Quadrant IV.

Hope it helps

Answer:

z

Step-by-step explanation: