Evaluate the expression when a= 1/4 and b=6

Answer:

$150.35

Step-by-step explanation:

Total commission taken from sale = $155,000 * 5% = $7,750.

Broker = $7,750 * 2% = $155.

Office assistant = $7,750 * 1% = $77.5.

Debby's profit = $7,750 - $155 - $77.5 = $7,517.5 * 2% = $150.35.

Answer:

$48

Step-by-step explanation:

price of jacket : original price

3 : 4

If 64 = 4, we can find out 1.

64 / 4 = 16

16 x 3 = 48

16 x 4 = 64

48 : 64

sale price = $48

Hope this helps!

- profparis

Answer:

$48

Step-by-step explanation:

the 4 part of the ratio refers to the original price of $64 , then

$64 ÷ 4 = $16 ← value of 1 part of the ratio , then

3 parts = 3 × $16 = $48 ← sale price

The value of y in the given logarithmic equation is 3. The correct option is C. 3

From the question, we are to determine the value of y in the given logarithmic equation

The given equation is

\(log_{4}64=y\)

By applying one of the laws of logarithm, we get

\(64 = 4^{y}\)

Now, express 64 in index form,

\(4^{3} = 4^{y}\)

Since the bases are equal, we can equal the powers to get

3 = y

∴ y = 3

Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3

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Answer:

4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Step-by-step explanation:

The information that we know is...

- Michael purchased four pairs of socks.

-  After utilizing a $2 off coupon, he spent $7.16.

We're expected to figure out what formula we should apply to get the standard price of a pair of socks so...

We start by writing 4p.

4 represents a pair of socks, and p represents the normal price of socks.

4p - 2

Then subtract 2 since he utilized a $2 off coupon.

4p - 2 = 7.16

Lastly, add = 7.16 because he paid in total $7.16.

So, 4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Hope this helps! :D

The Discussion section of a report is an essential part where you can delve into the theories related to your research topic, irrespective of the results.

In this section, you have the opportunity to analyze and interpret your findings and draw conclusions from them.

You can also discuss the implications of your research and suggest future directions for further investigation.

Additionally, it is crucial to discuss relevant literature in this section to provide context for your findings and demonstrate your knowledge of the subject area.

However, it is essential to avoid merely restating points already made in previous sections but instead reformulate them and provide additional insights.

In summary, the Discussion section is a crucial part of the report, providing a space for reflection and critical thinking about your research findings.

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Answer:

matching them

1) e

2) l

3) k

4) n

Answer:

160 girls

Step-by-step explanation:

2/5 = girls

3/5 = boys

3/5 = 240

to find 1

240/3

80

2/5 = 160

Answer:

\(Width\ of\ the\ rectangle\ is\ 20x^4y\)

Step-by-step explanation:

\(We\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Let\ the\ width\ of\ the\ rectangle\ be\ b\\20x^6y^4=x^2y^3b\\b=\frac{20x^6y^4}{x^2y^3} \\b=20x^{(6-2)}y^{(4-3)}\\b=20x^4y\)

Answer:

70.3

Step-by-step explanation:

substitute the given values for x and y into the expression

10.5x + 9.7y

= (10.5 × 3 ) + (9.7 × 4 )

= 31.5 + 38.8

= 70.3

Answer:

70.3

Step-by-step explanation:

10.5 (3) + 9.7 (4)

(31.5) + (38.8)

70.3

(a) To prove the product rule for complex functions, we show that if f(z) and g(z) are analytic, then their product h(z) = f(z)g(z) is also analytic, and h'(z) = f'(z)g(z) + f(z)g'(z).

(b) Using the result from part (a), we can show that if Sn is true, then Sn+1 is also true. This establishes that Sn is true for all n € N.

(a) To prove the product rule for complex functions, we consider two analytic functions f(z) and g(z). By definition, an analytic function is differentiable in a region. We want to show that their product h(z) = f(z)g(z) is also differentiable in that region. Using the limit definition of the derivative, we expand h'(z) as a difference quotient and apply the limit to show that it exists. By manipulating the expression, we obtain h'(z) = f'(z)g(z) + f(z)g'(z), which proves the product rule for complex functions.

(b) Given that S₁ is true, which states d = z⁰ for n = 1, we use the product rule from part (a) to show that if Sn is true (d = nzn-1), then Sn+1 is also true. By applying the product rule to Sn with f(z) = z and g(z) = zn-1, we find that Sn+1 is true, which implies that d = (n+1)zn. Since we have shown that if Sn is true, then Sn+1 is also true, and S₁ is true, it follows that Sn is true for all n € N by induction.

In conclusion, by proving the product rule for complex functions in part (a) and using it to show the truth of Sn+1 given Sn in part (b), we establish that Sn is true for all n € N.

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The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Step-by-step explanation:

angle  B = angle D    

                     corresponding angles of parallel lines intersected by another    .                                               line are equal

angle BEA = angle DEC         Verical angles are equal

ABE ~~ CDE                           due to  A - A -S  theorem for triangles

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

\(3x -2y =21 ~~....(i)\\\\4x+3y = 11~~~...(ii)\\\\\text{From (i)}\\\\3x - 2y = 21 \\\\\implies x = \dfrac{21+2y}3 = 7 +\dfrac{2y}3 ~~~...(iii).\\\\\text{Substitute x in equation (ii):}\\\\4\left( 7 + \dfrac{2y}3 \right) + 3y = 11\\\\\\\implies 28 + \dfrac{8y}3 + 3y =11\\\\\implies \dfrac{17y}3 = 11-28 = -17\\\\\implies \dfrac{y}3 = -1\\\\\implies y =-3\\\\\text{Substitute} ~ y =-3 ~ \text{in equation (iii):}\\\\\x=7+\dfrac{2(-3) }3 = 7-2 =5\\\\\text{Hence,} ~(x,y) = (5,-3)\)

ANSWER

EXPLANATION

We want to represent the sentence below as an algebraic expression:

Twice the difference of a number and 5.

The number is going to be represented by x.

To do this, we to write the expression in the same flow as the sentence, in other words, write it in the manner with which the sentence is given:

=> Twice means two times:

=> The difference between a number and 5 is:

Therefore, twice the difference of a number and 5 will be:

That is the answer.

Answer:

y = 2x - 3/4  Answer b

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope  = 2

b is the y-intercept = -3/4

therefor

y = 2x - 3/4  Answer b

Answer:

b = 7

Step-by-step explanation:

- 4(2 - 5b) = 132

- 4 × 2 - 4 × (- 5b) = 132

-8 + 20b = 132

20b = 132 + 8

20b = 140

b = 140/20

b = 7

Thus, The value of b is 7

-TheUnknownScientist

Candace Parker is much taller at 76 inches with a Z-score of 4.55598.

⇒ The average for males aged 30 to 39 is 69.5 inches and the standard deviation is 2.7 inches for him.

⇒ For women ages 30-39, the average is 64.2 with a standard deviation of 3.2 inches.

⇒ Determination of z-scores for males and females-

1.) A man is 6 feet 9 = 81 inches tall.

The Z value for the male is z = (81-69.5) / 2.7 = 4.25925

2.) The female is 6 feet 4 = 76 inches tall.

The Z-score for women is z = (76-64.2) / 2.59 = 4.55598.

Candace has a Z-score of 4.55598, which is greater than her Z-score of 4.25925 for LeBron James.

∴ Compared to their respective populations, Candace Parker is 76 inches taller than LeBron James' 81 inches.

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To express a 2% potassium chloride (KCl) solution as a w/v (weight/volume) solution in the form of a fraction, we need to know the weight of KCl in grams and the volume of the solution in milliliters.

Assuming we have 100 mL of the solution, 2% KCl means that there are 2 grams of KCl in 100 mL of solution.

So, the w/v fraction would be:

2 g KCl/100 mL solution

or, simplified:

1/50 (since 2 g is 1/50 of 100 mL)

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The forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5 is $32935.

It should be noted that the forecasted cost is simply used to know the expected cost for a give data.

In this case, the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5 is $32935.

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Based on the given properties, the graph of the function f(x) can be described as follows:

1. For x < 2: The function f(x) is defined and continuous.

2. At x = 2: The function f(x) has a jump discontinuity. The left-hand limit (lim f(x)) as x approaches 2 exists and is different from the right-hand limit (lim f(x)) as x approaches 2. Additionally, lim f(x) is equal to f(2).

3. Between 2 and 3: The function f(x) is defined and continuous.

4. At x = 3: The function f(x) is defined and continuous.

5. For x > 3: The function f(x) is defined and continuous.

To sketch the graph, you can start by drawing a continuous line for x < 2 and x > 3. Then, at x = 2, draw a vertical jump discontinuity where the function takes on a different value. Finally, ensure that the graph is continuous between 2 and 3, and at x = 3.

Keep in mind that without specific information about the values or behavior of the function within these intervals, the exact shape of the graph cannot be determined.

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Answer:

question 1 the answer would be 4/10

question 2 the answer would be tails 1/2 and green 1/10

question 3 the answer would be 3/9 or 1/3

question 4 the answer would be yellow 2/10 or 1/5 and blue would be 3/10

Step-by-step explanation:

Paragraph 1: Oskar can use the conversion rate of 1 kilometer = 0.621371 miles to help him determine the distance of his trip in miles.

Paragraph 2: To convert 165 kilometers into miles, Oskar will need to multiply 165 by 0.621371.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles.

What is the unit conversion in mathematics?

Unit conversion in mathematics is the process of converting a quantity from one unit of measurement to another. This is done by multiplying or dividing by a conversion factor, which is a ratio of equivalent units. For example, to convert kilometers to miles, you can use the conversion factor 1 kilometer = 0.621371 miles.

Paragraph 1: Oskar can use the conversion rate of 1 kilometer = 0.621371 miles to help him determine the distance of his trip in miles. This conversion rate will allow Oskar to convert the 165 kilometers into miles by multiplying it by 0.621371. This will help Oskar better understand the distance of his trip and make it easier for him to plan and track his progress.

Paragraph 2: To convert 165 kilometers into miles, Oskar will need to multiply 165 by 0.621371. This will give him the equivalent distance in miles. Oskar can use a calculator to perform this calculation and find the exact result. Alternatively, he can round the conversion rate to 1 kilometer = 0.621 miles, which will make the calculation easier and quicker.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles. This is common in countries that use the metric system, such as Europe, Australia, and Canada. The difference between these two units of measure is that kilometers are a part of the metric system and miles are a part of the imperial system. Kilometers are a more universally accepted unit of measure and are used in most of the world, while miles are primarily used in the United States.

Hence,

Paragraph 1: Oskar can use the conversion rate of 1 kilometer = 0.621371 miles to help him determine the distance of his trip in miles.

Paragraph 2: To convert 165 kilometers into miles, Oskar will need to multiply 165 by 0.621371.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles.

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Answer:

13

Step-by-step explanation:

This triangle appears to be 5 units wide and 12 units tall.

Using the pythagorean theorem, a^2 + b^2 = c^2, we get 25 + 144 = 169 or 13^2.

Therefore the answer is 13.

So, the correct option is (B) the function. \((f - g)(x)\) is equal to the square root of\(x/8\) minus \(2/x\) plus 6.

A function is a rule or mapping that associates each input value from a set (called the domain) with a unique output value from another set (called the range or codomain).

For example, let's consider a function.\(f(x) = x^2\). Here, the domain of the function could be any set of real numbers, and the range would be the set of non-negative real numbers. For any given input value x, the function f(x) would return the output value. \(x^2.\)

by the question.

The function (f - g) (x) is defined as the difference between f(x) and g(x) evaluated at x. Therefore:

\((f - g)(x) = f(x) - g(x)\)

Substituting the given expressions for f(x) and g(x) into this formula, we get:

\((f - g)(x) = [\sqrt(x/8) + 11] - [5 + 2/x]\)

Simplifying this expression, we can combine like terms to get:

\((f - g)(x) = \sqrt(x/8) - 2/x + 6\)

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