solve the inequality and tell weather it has infinite
or no solutions\(\frac{3}{4}x+\frac{3}{4}-\frac{1}{2}x \geq -1\)

The point of concurrency of three altitudes of a triangle is called its orthocenter. In the given figure O is the orthocenter.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°.

Here,

The orthocenter of a triangle is the place at which three altitudes intersect. In the diagram, O represents the orthocenter.

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Answer:

Step-by-step explanation:

To calculate how many boxes of cookies Marcel needs to make to earn a profit of $245.00, we need to use the following formula:

Profit = (Revenue - Expenses) / Number of boxes

We know that the revenue is $15.00 per box and the expenses are $50.00. We also know that the profit should be at least $245.00.

So we can substitute these values into the formula and solve for the number of boxes:

$245.00 = ($15.00 - $50.00) / x

Where x is the number of boxes.

To solve for x, we'll need to multiply both sides of the equation by x:

$245.00*x = ($15.00 - $50.00)

$245.00*x = -$35.00

x = -$35.00/$245.00 = -0.142857143

The number of boxes is a negative value which is not possible, so Marcel will not earn a profit of $245.00. She will need to increase her revenue or decrease her expenses to reach a profit of $245.00.

Answer: 75% increase

Step-by-step explanation:

Percentage Increase=(Final Value−Starting Value/Starting Value)×100

Percentage Increase=(21-12/12) ×100

Percentage Increase=(9/12) ×100

Percentage Increase=0.75 ×100

Percentage Increase=75%

Answer:

75 percent

Step-by-step explanation:

21-12=9

9=x%*12

/          /

12       12

3/4 = x

0.75 =x

75% = x

Answer:

c

Step-by-step explanation:

took it

The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)^2 is y = 0.

To determine the horizontal asymptote of a function, we need to examine the behavior of the function as x approaches positive or negative infinity. In this case, as x becomes very large or very small, the terms involving x-2 and x-3 become insignificant compared to the higher power of (x-3) squared in the denominator.

As x approaches positive or negative infinity, the (x - 2) term in the numerator does not affect the overall behavior of the function. However, the (x - 3)^2 term in the denominator becomes dominant.

Since (x - 3)^2 will always be positive, the function is always positive or zero. Therefore, as x approaches positive or negative infinity, the function approaches zero or a positive value but never crosses the horizontal line y = 0. Hence, the horizontal asymptote of the function f(x) = (x - 2)/(x - 3)^2 is y = 0.

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Given:

∆y and dy.

∆x and dx.

Required:

To explain the difference between ∆y and dy, is there difference between ∆x and dx.

Explanation:

∆y and dy are same, dy/dx is the differentiation of y with respect to x or dx/dy is the differentiation of x with respect to y.

Whereas del y is the partial differential of x where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

In the same way ∆x and dx are same, dx/dy is the differentiation of x with respect to y or dy/dx is the differentiation of y with respect to x.

Whereas del x is the partial differential of y where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

Final Answer:

∆y and dy are same, dy/dx is the differentiation of y with respect to x or dx/dy is the differentiation of x with respect to y.

Whereas del y is the partial differential of x where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

In the same way ∆x and dx are same, dx/dy is the differentiation of x with respect to y or dy/dx is the differentiation of y with respect to x.

Whereas del x is the partial differential of y where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Answer:

12 dollars and 6

Step-by-step explanation:

12 divided by 160 = 12

The limits are as follows:

a. lim [f(x)g(x)] = -8

b. lim [f(x)/g(x)] = -8

c. lim [g(x)/f(x)] = -1/8

d. lim [f(x)g(x)] = -8

To find the limits of the given expressions, we can use the limit laws and properties. Given that lim f(x) = 8 and lim g(x) = -1, we will compute the limits for the expressions provided.

a. lim [f(x)g(x)]

Using the limit product rule, the limit of a product of two functions is equal to the product of their individual limits:

lim [f(x)g(x)] = lim f(x) * lim g(x) = 8 * (-1) = -8

b. lim [f(x)/g(x)]

Using the limit quotient rule, the limit of the quotient of two functions is equal to the quotient of their individual limits:

lim [f(x)/g(x)] = lim f(x) / lim g(x) = 8 / (-1) = -8

c. lim [g(x)/f(x)]

Similarly, using the limit quotient rule:

lim [g(x)/f(x)] = lim g(x) / lim f(x) = (-1) / 8 = -1/8

d. lim [f(x)g(x)]

To find this limit, we multiply the limits of f(x) and g(x):

lim [f(x)g(x)] = lim f(x) * lim g(x) = 8 * (-1) = -8

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Answer:

≈2.646 [m/s²].

Step-by-step explanation:

1) to calculate the resulting force, F (marked with red colour);

2) to calculate the requred acceleration, a=F/m.

All the details are in the attachment, the answer is marked with orange colour.

Lawn care is kind of model do you think best represents the profit for each business.

What is profit?

Dog walker = 5 + 12 + 23 + 50 + 62 + 82  = $234

House sitter = 11 + 19 + 29 + 38 + 50 + 73  = $220

Lawn care = 142 + 150 + 165 + 141 + 120 + 91  = $809

Lawn care is kind of model do you think best represents the profit for each business.

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Answer:

546

Step-by-step explanation:

Surface Area = 2(lw + lh + wh)

plug in 21 10.5 and 2.5

The given statement, "If 3.5 shekels are worth 2 Cypriot pounds, and 1.75 US dollar is equal to 1 Cypriot Pound, the US dollar value of a jar of honey sold in Israel for 5 shekels is 5 USD" is false, because the calculated US dollar value of a jar of honey sold in Israel for 5 shekels is not 5 USD based on the given conversion rates.

To determine the US dollar value of a jar of honey sold in Israel for 5 shekels, we need to follow the given conversion rates.

First, we are told that 3.5 shekels are worth 2 Cypriot pounds. From this information, we can deduce that 1 shekel is equal to (2/3.5) Cypriot pounds.

Next, we are informed that 1.75 US dollars is equal to 1 Cypriot pound. Therefore, 1 Cypriot pound is equivalent to 1.75 US dollars.

Now, let's calculate the US dollar value of the jar of honey. Since the jar costs 5 shekels, we can multiply the conversion factors to find the corresponding US dollar value.

1 shekel = (2/3.5) Cypriot pounds

1 Cypriot pound = 1.75 US dollars

5 shekels * (2/3.5) Cypriot pounds/shekel * 1.75 US dollars/Cypriot pound = 5 * (2/3.5) * 1.75 = 5 * 0.5714 * 1.75 = 5 * 1 = 5 US dollars

Therefore, the US dollar value of the jar of honey sold in Israel for 5 shekels is 5 US dollars. Thus, the statement is false.

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The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

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Step-by-step explanation:

<CDB = 1 + 6x

<DCB = 58°

<CBF = 11x + 9

Now

<CBF = < CDB + < DCB ( Exterior angle of a triangle is equal to the sum of two opposite interior angles )

11x + 9° = 58° + 1° + 6x

11x - 6x = 59° - 9°

5x = 50°

x = 10°

<C = 58°

<D = 1 + 6 * 10° = 61°

< B = 11 * 10° + 9 ° = 110° + 9 = 119°

Hope it will help :)❤

Answer:

Step-by-step explanation:

The function h(x) = (f.g)(x) would be x² + 10x + 24.

What are composite functions?

A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.

To find h(x) = (f.g)(x), we need to find the composition of the functions f(x) and g(x).

The composition of two functions f(x) and g(x) is denoted by (f.g)(x) and is defined as (f.g)(x) = f(g(x)).

In this case, we have:

h(x) = (f.g)(x) = f(g(x)) = f(x + 5)

Substituting x + 5 for g(x) in the equation for f(x), we get:

h(x) = (f.g)(x) = f(x + 5) = (x + 5)² - 1

Simplifying this expression, we get:

h(x) = (f.g)(x) = x² + 10x + 24

Hence, the function h(x) = (f.g)(x) would be x² + 10x + 24.

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Answer:

-2x + (-3) = x

x = -1

Step-by-step explanation:

-2x + (-3) = x

add 2x to each side

-3 = 3x

divide each side by 3

-1 = x

Answer:

Epics

Step-by-step explanation:

Two dictionary definitions are

1. a long poem, typically one derived from ancient oral tradition, narrating the deeds and adventures of heroic or legendary figures or the history of a nation.

2. a long film, book, or other work portraying heroic deeds and adventures or covering an extended period of time.

Answer:

< 1 is acute (less than 90⁰)

<2 is acute

<BOA is obtuse (greater than 90⁰)

Best-case analysis refers to finding the scenario in which an algorithm performs most efficiently, requiring the fewest number of operations.(option c)

This analysis is useful for understanding the lower bound or the best-case time complexity of an algorithm. In contrast, worst-case analysis considers the scenario where the algorithm performs least efficiently and requires the maximum number of operations.

Average-case analysis takes into account the expected or average input and calculates the average number of operations. Usual-case analysis is not a commonly used term in computer science and may not be as relevant in this context. Therefore, best-case analysis is the term that specifically addresses the fewest number of operations required for a given n.

The term that determines the fewest number of operations required for a given n is the best-case analysis.  It focuses on the best possible input that the algorithm can encounter.

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Answer:

K=F/q

Step-by-step explanation:

Answer:

(-5, -1), does not belong to the relation y = -x + 4

Step-by-step explanation:

From the question, we have;

The given ordered pair having a relation = (-5, -1)

The given relation, y = -x + 4

From the given relation, we get;

When y = -1

-1 = -x + 4

∴ -x = -1 - 4 = -5

x = 5

Similarly, when x = -5, we get;

y = -x + 4 = -(-5) + 4 = 5 + 4 = 9

y = 9

Therefore, (-5, -1), does not belong to the relation y = -x + 4 but (-5, -1), belongs to the relation y = x + 4

Answer:

The answer would be 60 first of all.

Step-by-step explanation:

Ok, this would be an Scalene triangle.

Answer:

Looks like a scalene triangle.

Step-by-step explanation:

If angle C is 70°, angle B2 is 60° Then angle D will be 50°. So it’s a Scalene triangle.

Answer:

=345

Step-by-step explanation:

Hope this helps (:

Answer:

n = 345

Explanation:

Answer:

$8

Step-by-step explanation:

20% of $40

= \(\frac{20}{100}\) × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

\(\frac{20}{100}=0.2\)

Then multiply that by the price:

\(40*0.2=8\)

meaning the item is $8 off.

You can confirm that like so:

\(\frac{8}{40} =0.2\\\)

or 20%

Answer:

4*6=24     answer:6

any other number would be less or more

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 x 6 is 24 and 4 x 7 is 28. 26 is between 24 and 28, so got to 24 since that is less than 26. 4 x 6 gets you 24, so 6 is your answer.

Hope it helps!

If one or both samples have a sample size less than 30, you can still conduct a two sample test if the population standard deviation is known. In such cases, you can use a Z-test to compare the means of two samples.

If the population standard deviation is unknown, you would need to use a T-test instead. The T-test is preferred over the Z-test when the sample size is small because it is more appropriate for small sample sizes and it accounts for the uncertainty of the sample standard deviation. When conducting a two sample test, it is important to ensure that the samples are independent and representative of the population. The sample size should also be large enough to ensure that the results are statistically significant and accurate. If the sample size is too small, the results may not be reliable or representative of the population. In summary, if one or both samples have a sample size less than 30, you can still conduct a two sample test if the population standard deviation is known. However, it is important to ensure that the samples are independent, representative of the population, and large enough to yield accurate results. Additionally, the appropriate statistical test should be used based on whether the population standard deviation is known or unknown.

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Answer:

S(A) = 7

Step-by-step explanation:

A ⊆B  means A is a proper subset of B. That means all elements of set A are also elements of set B

S(B\A) means the set of all elements of B that are not in set A. This is given as 28

We are also given S(B)  = 5.S(A)

Since A is a subset of B, S(B) = set of all elements in A and set of all elements in B but not in A

In other words
S(B) = S(A) + S(B\A)

Since S(B) = 5S(A) we get

5S(A) = S(A) + S(B\A)

5S(A) = S(A) + 28

5S(A) - S(A) = 28

4S(A) = 28

S(A) = 7

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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