2.4 *3.48 equals what

(a) function P(x) represents the commission you earn based on your total sales x.

(b) The function Q(x) represents the amount by which your total sales x exceeds $6000.

(c) The composition (P∘Q)(x) represents the commission earned after the amount by which total sales exceed $6000 has been determined.

(d) The composition (Q∘P)(x) represents the amount by which the commission is subtracted from the total sales.

(e) S1(x) = 450 + 0.03(x − 6000) correctly computes your total earnings for the week by considering both the base salary and the commission earned on sales exceeding $6000.

(a) In this context, the function P(x) represents the commission you earn based on your total sales x. It is calculated as 3% of the total sales amount.

(b) The function Q(x) represents the amount by which your total sales x exceeds $6000. It calculates the difference between the total sales and the threshold of $6000.

(c) The composition (P∘Q)(x) represents the commission earned after the amount by which total sales exceed $6000 has been determined. It can be expressed as (P∘Q)(x) = P(Q(x)) = P(x − 6000) = 0.03(x − 6000).

(d) The composition (Q∘P)(x) represents the amount by which the commission is subtracted from the total sales. It can be expressed as (Q∘P)(x) = Q(P(x)) = Q(0.03x) = 0.03x − 6000.

(e) The function S1(x) = 450 + (P∘Q)(x) correctly computes your total earnings for the week. It takes into account the base salary of $450 and adds the commission earned after subtracting $6000 from the total sales. This is consistent with the understanding that your total earnings include both the base salary and the commission.

Function S2(x) = 450 + (Q∘P)(x) does not correctly compute your total earnings for the week. It adds the commission first and then subtracts $6000 from the total sales, which would result in an incorrect calculation of earnings.

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Answer:

D

Step-by-step explanation:

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The different sides of the showcase are comparable in that the two of them have a greater part of perceptions in the scope of 5 to 9 MPa.

The different sides of the showcase seem to have comparable dispersion designs, with most of perceptions falling inside the 5 to 9 MPa range. This proposes that there might be some hidden element that is making the qualities on the two sides be packed here, conceivably a typical estimation or handling technique.

Nonetheless, without additional data about the information and what it addresses, it is challenging to say for specific what may be driving this likeness. In any case, the comparative conveyance examples of the two arrangements of information are significant and investigating further.

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The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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Answer: 150:210

Step-by-step explanation:

360/12 then you get 30. 30x5 and 30x7 you get 150:210. They add up to 360.

If we move one unit to the right from (0,-1), we get the point (1,-33). This is the ordered pair that represents an input (x=1) and a corresponding output (y=-33) on the graph of the function y=−32x−1.

To find the ordered pair that represents an input and a corresponding output on the graph of the function y=−32x−1, we need to plot the graph first. The function is in the form of slope-intercept form, where the slope is -32 and the y-intercept is -1.

Thus, we can plot the point (0,-1) on the y-axis. Then, we can find another point by using the slope -32, which means that for every unit increase in x, y decreases by 32.

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Answer:

Area= l+b) ×2

6.5x+5ft +5ft

13x+20ft

The value of cos t = - √7/2, sec t  = -2/√7, csc t  = 4/3, tan t = -3√7/8, cot t  = -8 / 3√7.

Given that sin t = 3/4, and t is in quadrant II.

We need to find out the values of cos t, sec t, csc t, tan t, and cot t.

Step-by-step explanation:

In quadrant II, the values of sin t are positive, while cos t is negative.

Therefore, sin t = 3/4 can be written as:

cos t = - √(1 - sin²t)

        = - √(1 - 9/16)

        = - √(7/16)

        = - √7/4

        = - √7/2

csc t = 1/sin t

        = 1/(3/4)

        = 4/3

sec t = 1/cos t

        = 1/(-√7/2)

        = -2/√7

tan t = sin t/cos t

       = (3/4) / (-√7/2)

       = -(3/4) * 2/√7

       = -3√7/

cot t = 1/tan t

       = -8 / 3√7

Hence, the values of cos t, sec t, csc t, tan t, and cot t are:

cos t = - √7/2

sec t  = -2/√7

csc t  = 4/3

tan t = -3√7/8

cot t  = -8 / 3√7

The correct option is B.

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Answer:

B' (2,3)

Step-by-step explanation:

See the pictures below.  B was two units below y = 1 so B' needs to be 2 units above y = 1.  That places the point at (2,3)

The value of the expression z + 3x4 using arithmetic operation where z = 15, is 27. The answer is A) 27.

The given expression is z + 3x4, where z = 15. To evaluate this expression, we substitute 15 for z and perform the multiplication. First, we multiply 3 and 4, which gives us 12. Then, we add 15 and 12 to get the final result of 27.

z + 3x4 = 15 + 3x4

= 15 + 12

= 27

Therefore, the value of the expression when z = 15, is 27. In other words, using arithmetic operation of multiplication and addition, which gives us the final answer of 27. So, the correct answer is option A).

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____The given question is incomplete , the complete question is given below:

Evaluate the expression, where z = 15

z + 3x4

A. 27

B. 32

C. 56

D. 1,304

For the whole numbers:

24

26

23

25

21

46

63

57

75

91

1. 24 and 23.8

2. 26 and 25.7

3. 23 and 22.8

4. 25 and 24.8

5. 21 and 20.9

6. 46 and 46.3

7. 64 and 63.7

8. 56 and 56.5

9. 75 and 74.6

10. 91 and 90.7

When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.

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Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

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\(\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\)

\(\diamond\large\blue\textsf{\textbf{Given question:-}}}\)

         Which of the statements below are true for linear functions?

         Select all that apply.

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\)

       The general equation for linear functions is \(\bold{y=mx+b}\).

The equation \(\bold{y=ax^2+bx+c}\) is the general equation for quadratic functions.

The equation \(\bold{y=ab^x}\) is the general equation for exponential functions.

Linear functions don't have a vertex, they have slope (m) and y-intercept (b).

One way we can define the slope of a linear function is

\(\bold{Slope=\dfrac{Rise}{Run}}\)

So we conclude that the right options are

\(\square\!\!\!\!\checkmark\) The general equation is y=mx+b.

\(\square\!\!\!\!\checkmark\) The slope of the graph is constant and can be defined as rise over run.

\(\rule{300}{1}\)

A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.

A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.

Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.

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Answer:

\(\frac{14\sqrt{3} }{3}\)

Step-by-step explanation:

\((x - 3)(2x {}^{2} - 5x + 1)\)

\(2x {}^{3} - 5x {}^{2} + x - 6x {}^{2} + 15x - 3 \)

\(2x {}^{3} - 11x {}^{2} + 16x - 3\)

The LCM for each pair is: LCM (2, 8) = 8 LCM (3, 4) = 12 LCM (6, 8) = 24. To find the least common multiple (LCM) for each pair, we first need to understand what LCM means.

The LCM is the smallest multiple that two or more numbers have in common. For example, the LCM of 2 and 8 is 8 because 8 is the smallest multiple that both 2 and 8 have in common.

So let's start with the first pair, 2 and 8. We can list out the multiples of each number and find the smallest one they have in common:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...

Multiples of 8: 8, 16, 24, 32, 40, ...

The smallest multiple they have in common is 8, so the LCM of 2 and 8 is 8.

Next, let's look at the pair 3 and 4:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, ...

The smallest multiple they have in common is 12, so the LCM of 3 and 4 is 12.

Finally, let's tackle the pair 6 and 8:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, ...

The smallest multiple they have in common is 24, so the LCM of 6 and 8 is 24.

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Answer:

a) AE and CD

b) AE and ED

c) AED and CDE

The author uses the actions of Roger Chillingworth to characterize him. Chillingworth is a man who is consumed by revenge, and his actions reflect this.

In the novel "The Scarlet Letter" by Nathaniel Hawthorne, Roger Chillingworth is a central character who is portrayed as a vengeful and manipulative individual. Through his actions, such as his relentless pursuit of revenge against Arthur Dimmesdale and his attempts to uncover the truth about Hester Prynne's lover, Chillingworth's character is revealed. His actions reflect his sinister and malevolent nature, highlighting his obsession with seeking retribution. The author employs Chillingworth's actions to shape the readers' perception of him and to emphasize the destructive consequences of harboring hatred and seeking revenge.

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Any value of x that is less than or equal to -2 will make the inequality true.

What is Number line?

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

To solve the inequality 3x - 1 <= -7, we can start by adding 1 to both sides to isolate the variable:

3x - 1 + 1 <= -7 + 1

Simplifying, we get:

3x <= -6

Next, we can divide both sides by 3 to solve for x:

3x/3 <= -6/3

Simplifying, we get:

x <= -2

This tells us that any value of x that is less than or equal to -2 will make the inequality true. We can represent this on a number line by shading all values less than or equal to -2

The circle at -2 indicates that -2 is included in the solution set, and the arrow pointing to the left indicates that all values less than -2 are also included in the solution set. Therefore, the number line that shows all of the values of x that make the inequality 3x - 1 <= -7 true is the one with all values less than or equal to -2 shaded.

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Answer:

74cm^2

Step-by-step explanation:

Answer:

About 516 students are right handed.

Step-by-step explanation:

Divide 600 by 7 to get 85.7143. Round up to 86. Multiply times 6.

Answer:

I'll setup the problem and leave you to solve it

Step-by-step explanation:

L = number of left-handed students

R = number of right-handed students

you have 2 equations

L + R = 600 (1)

R = 7 x L (2)

solve for L in equation 1

L = 600 - R

substitute L in equation 2

R = 7(600 -R)

multiplying and gathering like terms

8R= 4200

solve for R and you have your answer

Answer:

9(x + 3)

Step-by-step explanation:

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Answer:

-5

Step-by-step explanation:

formula of slope is

\( \frac{y2 - y1}{x2 - x1} \)

y2 is the second y value

y1 is the first y value so you get

\( \frac{6 - 11}{14 - 13} \)

that leaves you with -5 /1 which can be written as -5

-5

The slope is rise over run. In other words, it is the change in y divided by the change in x.

Slope Formula

The formula for slope is \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\). This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.

Final Slope

The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.

If there are 58 nominees, then the number of ways in which scholarships can be awarded is 4,24,270.

What are the Permutation and Combination?

Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement. When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.

If there are 58 nominees, and Blackhawk can give only four scholarships then the number of ways is =

                        \(=^nC_r\\\\=^{58}C_4\\\\=\frac{58!}{4!*54!}\\\\=\frac{58 * 57 * 56 * 55}{4 * 3 * 2 *1}\\\\=4,24,270\)

Hence, if there are 58 nominees, then the number of ways in which scholarships can be awarded is 4,24,270.

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The probability that the first is red and the second is white is 4/21 or 0.190476.

The total number of marbles in the jar is 4 red, 7 white and 10 blue. This means there is a total of 21 marbles.

The probability of selecting a red marble first is 4/21 (4 out of 21 marbles are red).

The probability of selecting a white marble second is 7/20 (7 out of the remaining 20 marbles are white).

The probability of selecting a red marble first and a white marble second is 4/21 x 7/20 = 28/420 = 4/60 = 0.190476

The probability of selecting two marbles at random from the jar is calculated by multiplying the individual probabilities of selecting each marble. The probability of selecting the first marble is 4/21 (4 out of 21 marbles are red) and the probability of selecting the second marble is 7/20 (7 out of the remaining 20 marbles are white). Thus, the probability of selecting a red marble first and a white marble second is 4/21 x 7/20 = 28/420 = 4/60 = 0.190476.

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Answer:

26.3 hours

Step-by-step explanation:

We need to divide 250 by 9.50, therefore we get the answer ≈ 26.3

Answer:

b

Step-by-step explanation: