The sum of two numbers is 22 their difference is 4

This question is incomplete , I am answering this question in general as per my knowledge.

No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.

The expected,

T(‘‘user2012813",‘‘discrete math")=true

However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess

T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL

Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.

Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.

Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.

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well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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Answer:

1: $11

2: $43.19

3: $128.57

Step-by-step explanation:

10 • 1.10 = 11

39.99 • 1.08 = 43.19

43.19 • 3 = 128.57

We get the following answers:

A) The least square regression line is:

yi = 88.73 - 2.827(xi)

B) The slope  is β₁ = -2.827 and The intercept is β₀ = 88.73.

C) e*₆ = -0.6964, final grade is below average grade.

E) It would not be reasonable since no of absence increases the score decreases, it works well for small no of absences but will not work for large number of absences since it may give absurd final grade.

we have Xi = No of absences

Yi = Final grade

The regression model is

Yi = β₀ +  β₁Xi + i

β₀ = y -  β₁x

we have n = 10, x bar = 4.5 , y bar = 76.01

cov(x,y) = -23.325 and var(x) = 9.1667

therefore,  β₀ = 88.73 and  β₁ = -2.827

A) Least square regression line is given by:

yi =  β₀+ β₁Xi

yi = 88.73 - 2.827(xi)

B) The slope  β₁ = -2.827 which means when no of absence is increased by 1 duty then the final grade will decrease by 2.827

The intercept  β₀ = 88.73 when there are 0 days absence the average grade is 88.73

C) Predicted graph for student who misses five class periods is

x = 5

y*5 = 88.73 - 2.827(5) = 74.5964

Hence for corresponding residual is:

e*₆ = 73.9 - 74.5964

e*₆ = -0.6964, final grade is below average grade.

D) please see graph

E) when student miss 15 class periods the final grade will be

X = 5

y* = 88.73 - 2.827(15)

= 46

It would not be reasonable since no of absence increases the score decreases, it works well for small no of absences but will not work for large number of absences since it may give absurd final grade.

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The value of the determinant |A| = 1

In the above question, a determinant is given, having k as one of the entry

We need to find the, value of |A|

If A is the matrix, then |A| stands for the matrix's determinant. The first element of the first row is multiplied by a secondary 2x2 matrix made up of the other 3x3 matrix elements that do not belong to the row or column to which your first chosen element belongs in order to get the determinant of the 3x3 matrix.

Calculus, linear algebra, and advanced geometry frequently make use of the determinant of a matrix.

So, |A| = a11(a22.a33 - a23.a32) - a12(a21.a33 - a23.a31) + a13(a21.a32 - a22.a31)

|A| = 1.(1 -0) - 0(0 - 0) + 0(0-k)

|A| = 1

Hence, the value of the determinant |A| = 1

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Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

\( \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} \)

Answer:

\(x = \frac{1}{3} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

0.6

Step-by-step explanation:

Given the trapezoid formula:

1/2(b1+b2/2)xH

We are given the numbers for the trapezoid:

0.3,0.9,1

To solve this here is what we are going to do.

1/2(0.9+0.3)x1

So add 0.9+0.3=1.2

Then Divide 1.2/2=0.6

So multiply 0.6 x 1=0.6

0.6 is your answer

One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.

The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).

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Answer:

1st picture: (0,4)

The lines intersect at point (0,4).

2nd picture: Graph D

2x ≥ y - 1

2x - 5y ≤ 10

Set these inequalities up in standard form.

y ≤ 2x + 1

-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2

When you divide by a negative number, you switch the inequality sign.

Now you have:

y ≤ 2x + 1

y ≥ 2/5x - 2

Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).

In this case, it is all of them.

Next, you would look at the shaded regions.

The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.

That would mean Graph B or D.

Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.

Answer:

  A) (-4, 1)

  B) graph C

Step-by-step explanation:

A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.

__

B) Look at the given inequalities. You are looking for two things:

Here, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...

  2x ≥ -1

  x ≥ -1/2

The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)

For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.

See the second attachment for what we're talking about here.

Perpendicular lines always come together at a 90-degree angle.

What is perpendicular?

A perpendicular is a straight line in mathematics that forms a right angle (90 degrees) with another line. In other words, two lines are perpendicular to one another if they connect at a right angle.

A perfect 90° (degrees) angle, or a quarter turn, is referred to as a right angle in geometry and trigonometry. The angles next to each other are said to be at right angles if a ray is positioned so that its terminus is on a line and they are also equal. The word is a calque of the Latin angelus rectus, where rectus means "upright" and refers to a vertical basis line that is perpendicular to a horizontal baseline.

As the definition suggests the perpendicular lines will intersect with each other at a right angle.

Perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Hence, Perpendicular lines always come together at a 90-degree angle.

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(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:

JKL

Step-by-step explanation:

where is the problem

Answer:

147 is your answer.

50

Step-by-step explanation:

plot it on the number line

The domain of the given function f(x) = (-x - 9)^(1/2) is; C) (-∞, -9)

The domain of a function is defined as the set of all possible input values that make the function possible.

Now, we are given the function;

f(x) = (-x - 9)^(1/2)

This can also be written as;

f(x) = √(-x - 9)

Now, since the item in bracket seems to be negative, we can say that we want to find the lowest term for which the function in bracket is zero because when the function in the bracket is negative, then the function is a complex number. Thus;

At (-x - 9) = 0

-x = 9

x = -9

This will be the maximum value of x while the minimum value will be negative infinity.

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The simplification form of the complex number is Z¹⁰ = -32i because cos (17π + π/2) = 0 and sin (17π + π/2) = -1

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that:

The complex number is:

Z¹⁰ = Z⁵(cos 35π/2 + i sin 35π/2)

35π/2 = (34 + 1)π/2 = 17π + π/2

cos (17π + π/2) = -cos π/2 = 0

sin (17π + π/2) = -sin π/2 = -1

Z¹⁰ = Z⁵(0 + i [-1])

Z¹⁰ = -2⁵i

Z¹⁰ = -32i

Thus, the simplification form of the complex number is Z¹⁰ = -32i because cos (17π + π/2) = 0 and sin (17π + π/2) = -1

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Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

1.1

Step-by-step explanation:

Answer:

The answer is 1.1

Step-by-step explanation:

To increase 1 by 10%, you have to do this:

1 * 10% = 0.1

The 0.1 is what 10% of 1 is.

You then add that 0.1 to the 1:

0.1 + 1 = 1.1

And that is how you get the answer.

Our starting value: $89.50.

Deposits means putting money in the account, so money will increase.

Withdrawal means that you are depleting the account, so money will decrease.

1. 11/4 - Deposited $17.25

So you will add $89.50 + $17.25 = $106.75

2. 11/4 = Withdrawal $35.90

So you will subtract $106.75 - $35.90 = $70.85

3.  11/7 - Deposit $10.77

So you will add $10.77 + $70.85 = $81.62

4. 11/11 - Withdrawal of $3.02

So you will now subtract $81.62- $3.02 = $78.60

$78.60 is our final balance! I hope this helps!

Answer:

31

Step-by-step explanation:

Assuming the drawing is to scale

Answer: Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

Another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 is to use the "and" symbol to connect the two inequalities:

2 ≤ y + 3 ≤ 6

This compound inequality can also be written using the "interval notation," which represents a range of values that a variable can take:

[2, 6]

This notation means that the solution set for the compound inequality is the set of all values of y that are greater than or equal to 2 and less than or equal to 6. In other words, the solution set is all values of y that lie within the closed interval from 2 to 6, including 2 and 6 themselves.

For example, if y is 3, the compound inequality is satisfied because 3 is within the interval [2, 6]. If y is 7, the compound inequality is not satisfied because 7 is not within the interval [2, 6].

The maximum allowed ratio for the cord such that the maximum allowable normal stress is 8.77 kilopascals is equal to 2.081.

Let assume that the cork is made of a ductile material, in this case we find that the normal stress (σ), in kilopascals, and shear stress (τ), in kilopascals, are described below:

Normal stress

σ = F / A

Shear stress

τ = (3 · V) / (2 · A')

Where:

Let assume that cork is at static equilibrium and at inminent motion, then the shear and normal forces are, respectively:

F = P

V = P / 2

And the transversal areas are introduced below:

A = π · R²

A' = 2 · R · H

Where:

If we know that σ = 8.77 kPa and τ = 4.98 kPa, then the maximum allowed ratio between the cork height and the cork radius is:

8.77 = P / (π · R²)

8.77 = [1 / (π · R)] · (P / R)

4.98 = 1.5 · (0.5 · P) / (2 · R · H)

4.98 = [0.75 / (2 · H)] · (P / R)

Then, we eliminate P / R of the two equations:

8.77π · R = 13.24 · H

H / R = 8.77π / 13.24

H / R = 2.081

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Answer:

40800

Step-by-step explanation:

4 weeks = 1 month

So we use,

850 * 4 = 3400 (monthly)

12 months = 1 year

So we use,

3400 * 12 = 40800 (annually)

Answer:both a and b are correct

Step-by-step explanation: