Solving inequalities #2

The sum of the expression is 5r - 3.7s + 5.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given the expression,

(-0.3s - 2) + (5 - 3.4s) + (5r + 2)

-0.3s -2 + 5 - 3.4s + 5r + 2

arranging the variables and constants,

(-0.3s - 3.4s) + 5r + (- 2 + 5 + 2)

apply operations,

-3.7s + 5r + 5

5r - 3.7s + 5

Hence the simplified expression is 5r - 3.7s + 5.

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The value of j in the triangle is 8.66 feet

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The right triangle

The value of j can be calculated using the following

tan(60) = j/5

So, we have the following representation

j = 5 * tan(60)

Evaluate

j = 5√3

This gives

j = 8.66

Hence, the value is 8.66 feet

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The mid-point of segment AB is X. Ray XY is perpendicular to segment AB. Point L is on ray XY. By congruence of triangle, statements (C) point L is equidistant from point A and B.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

Given that, The mid-point of segment AB is X. Ray XY is perpendicular to segment AB. Point L is on ray XY.

Draw the line segment AL and BL.

In Δ AXL and Δ BXL

AX is equal to BX

XL is common in both Δ

∠AXL is equal to ∠BXL because both are right angle.

So, Δ AXL ≅ Δ BXL

So AL = BL

So we say that point L is equidistant from point A and B.

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Answer:

ANSWER IS B

Step-by-step explanation:

Proof: If mn is even, then either m = 2k/n or n = 2k/m for an integer k, meaning either m or n must be even.

The following is a direct proof:

The proof shows that if m and n are integers and mn is even, then either m must be even or n must be even. The proof starts by assuming that m and n are integers and that mn is even. It then proceeds to show that one of the factors, either m or n, must also be even.

The proof uses the definition of an even number, which is a number that is divisible by 2, to conclude that if mn is even, then there must be an integer k such that mn = 2k. From this equation, the proof derives the expressions m = 2k/n or n = 2k/m. Since k is an integer, it follows that either m or n must be even, since the result of dividing an integer by another integer is also an integer.

The proof concludes by stating that if mn is even, then either m must be even or n must be even, based on the logical reasoning provided in the proof.

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The mean of the data-set is given as follows:

E(X) = 1.8.

The standard deviation of the data-set is given as follows:

S(X) = 1.

The mean is given by the sum of all the outcomes multiplied by their respective probabilities, hence:

E(X) = 0 x 0.04 + 1 x 0.43 + 2 x 0.29 + 3 x 0.18 + 4 x 0.05 + 5 x 0.01

E(X) = 1.8.

The standard deviation is given by the square root of the sum of the difference squared between each outcome and the mean, multiplied by their respective probabilities, hence:

S(X) = sqrt[(0 - 1.8)² x 0.04 + (1 - 1.8)² x 0.43 + (2 - 1.8)² x 0.29 + (3 - 1.8)² x 0.18 + (4 - 1.8)² x 0.05 + (5 - 1.8)² x 0.01]

S(X) = 1.

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Answer:

21.62%

Step-by-step explanation:

trucks needed maintenance = 8

truck's pool = 37

%age of the trucks needed maintenance

= (8 / 37) * 100

= 21.62%

Answer:

-5 <= x < 3

Step-by-step explanation:

The left end of the inequality is -5 with a closed circle so it has an equal sign with it

The right end of the inequality is 3 with an open circle so it will not have an equals sign.

The line is in the middle of the points so the variable is in the middle.

-5 <= x < 3

Answer:

[tex] - 5 \leqslant y < 3[/tex]

The interest will he be paid in the first six years is $360.

Simple interest is the cost of borrowing money that does not take compounding into consideration. In other words, just the principal is affected by simple interest.

Formula: (P x R x T)/100

Given:

P= $3000

R= 2%

T = 6 years

Using Simple interest

= (P x R x T)/100

= ( 3000 x 2 x 6)/100

= 30 x 2 x 6

= $360

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Converting the raw data into a 'frequency' distribution is often a first step in making the data more manageable and easier to assess.

A scatterplot is the most helpful graph for demonstrating the connection between two quantitative variables.

Data are listed in rising or decreasing numerical order in a raw data listing. The stem-and-leaf presentation gives more depth than the frequency distribution since it may explain individual data values as well as indicate how many are in each group, or stem.

Bins should have the same width and be mutually exclusive and exhaustive.

A scattergram is a graphical representation of the linkages or correlations that exist between two numerical variables (or covariables), which are shown as points (or dots) for each pair of scores. A scattergraph depicts the intensity and direction of the covariables' connection.

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Answer:

To obtain the fraction first we need to obtained the number. The number can be identified by using algebraic expression.

The fraction is .

Given:

The given fraction is .

Let the numerator is  .

The numerator is 18 less than denominator is  , the fraction is .

Write the algebraic expression as per question to find the number.

Calculate the fraction.

Thus, the fraction is  .

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Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

assume top a, bottom b

so a/b =2/5

so a=2/5b

b=a+18 = 2/5b+18

so 3/5b = 18

b = 30

a=12

Answer:

1.35

Step-by-step explanation:

10.80 divided by 8

n = 1.35

Answer:

Step-by-step explanation:

5h + 3h + 4h = R288

12h = R288

h = R24

Josh, 5 hours at R24/hour = R120

Katleho, 3 hours at R24/hour = R72

Pevashnee, 4 hours at R24/hour = R96

Check your work: 120 + 72 + 96 = 288

Answer:

12

Step-by-step explanation:

1+1+1+1+1+1+1+1+1 x 2 x 2= 12

Answer:

12

Step-by-step explanation:

pls tell me if wrong have a good day/night<3

[tex]5x^2-x+9[/tex] when x is equal to 3

Substitute for x with the given value(3):

[tex]5(3)^2-3+9[/tex]

[tex]5(9)-3+9[/tex]

[tex]45-3+9[/tex]

[tex]=\boxed{51}[/tex]

Answer:

it equals 231

Step-by-step explanation:

Answer:

(-6x-2)(2x+4)

-12x+24x-4x+6

=8x+6

Frank's expected utility of wealth function if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)). If Frank accepts the bet, the probability p must be greater than or equal to 0.8.

a) Frank's expected utility of wealth if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000))

b) If Frank rejects the bet, his utility of wealth will be U(w) = ln($1,000,000)

c) U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000)

p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000) - $1,000,000

p(ln($100,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000) - ln($1,000,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000/$1,000,000)) + (1-p)(ln($900,000/$1,000,000)) ≥ -$1,000,000

p(ln(0.1)) + (1-p)(ln(0.9)) ≥ -$1,000,000

p(ln(0.1)) ≥ -$1,000,000 - (1-p)(ln(0.9))

p ≥ (-$1,000,000 - (1-p)(ln(0.9)))/(ln(0.1))

p ≥ -$1,000,000/(ln(0.1)) - (1-p)(ln(0.9))/ln(0.1)

p ≥ 0.8

d) If Frank's utility of wealth function was less curved, i.e. closer to a straight line, the bound from (c) would be larger. This is because, with a less curved utility of wealth function, Frank would be less risk-averse and therefore more likely to accept the bet.

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Answer:

Step-by-step explanation:

25 because when you take 2x times 3x +1

The expression for 4 difference than the sum of g and 5 is  4- (g+ 5).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

4 difference than the sum of g and 5

writing the mathematical expression for the above we get

sum of g and 5

= g+ 5

and, 4 difference than the sum of g and 5

= 4- (g+ 5)

= 4- g- 5

= -g- 1

Hence, the expression is (-g-1).

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A national opinion poll found that 44% of all American adults agree that parents should be given vouchers good for education at any public or private school of their choice.

The result is based on a small sample, and it is important to note that opinions can change quickly as more people become aware of the issue and as more information becomes available.

While the poll results are encouraging for proponents of school choice and educational vouchers, it is important to recognize that opinions can be subject to change. As the debate over school choice continues, more individuals may become aware of the issue and may form different opinions as they learn more about the issue.

Furthermore, more information and details about the issue may become available which could lead to individuals changing their opinions based on the new information. Additionally, opinions may also differ based on geographical location, as different areas may have different opinions on the issue. All of these factors should be taken into account when assessing the current opinion on educational vouchers.

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Allow flyers using racial slurs is not one of the EDI initiatives discussed in the case.

The EDI initiatives discussed in the case include creating an inclusive community where all students thrive, establishing goals to retain underrepresented groups, and implementing a 12-week training program. To create an inclusive community, the school administration must first determine the current state of the campus environment. This can be done through surveys and focus groups, which allow the administration to identify what areas need improvement and how best to address them. Establishing goals to retain underrepresented groups involves setting specific goals for the recruitment and retaining of underrepresented groups, such as increasing the number of faculty or students from underrepresented groups. Finally, implementing a 12-week training program requires developing an educational program to teach students about diversity, equity, and inclusion, and providing the necessary resources to ensure that these lessons are successfully implemented.

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The expression 1,152 ÷ 4 determines the number of file folders in each box.

What is expression ?

Expression  is a sentence with a minimum of two numbers or variables and at least one operation. This operation can be addition, subtraction, multiplication, or division

The first step in finding out how many file folders were in each box is to perform the division 1,152 ÷ 4.

This division gives the number of file folders in each box by dividing the total number of file folders (1,152) by the number of boxes (4).

The expression 1,152 ÷ 4 determines the number of file folders in each box.

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Answer:

Step-by-step explanation:

You want an equation and its solution for the scenario in which Kimberly scored 35.08 points in four gymnastic events, the same number in each event. You want to know her score in each event.

If p represents the number of points that Kimberly scored in each event, her point total is ...

  4p = 35.08

Dividing by the coefficient of p gives the solution:

  p = 35.08/4 = 8.77

Kimberly scored 8.77 points in each event.

The probability of x = 1 is 0.2,x = 2 is 0.3, x = 3 is 0.5

Let X be a random variable with the following probability mass function:

f(x) =

x = 1: 0.2

x = 2: 0.3

x = 3: 0.5

This is indeed a probability mass function because the values of f(x) are all greater than or equal to 0, and the sum of the values of f(x) is equal to

To calculate the probability of x = 1, we can use the formula for probability mass functions: P(X = x) = f(x).

Therefore, the probability of x = 1 is 0.2.

To calculate the probability of x = 2, we can use the same formula: P(X = x) = f(x).

Therefore, the probability of x = 2 is 0.3.

To calculate the probability of x = 3, we can use the same formula: P(X = x) = f(x).

Therefore, the probability of x = 3 is 0.5.

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complete question

What is the probability of x = 1, x = 2, and x = 3?

The area of the composite figure is 54 in².

The perimeter of the composite figure is 35 in.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The composite figure has 3 shapes.

Triangle and 2 rectangles.

Now,

Base = 3 in

Height = 4 in

Area of the triangle.

= 1/2 x base x height

= 1/2 x 3 x 4

= 6 in²

Now,

Length = 5 in

Width = 4 in

Area of the rectangle.

= length x width

= 5 x 4

= 20 in²

Now,

Length = 4 in

Width = 7 in

Area of the rectangle.

= length x width

= 4 x 7

= 28 in²

Now,

Area of the composite figure.

= 6 + 20 + 28

= 54 in²

Now,

The perimeter of the composite figure.

= 12 + 7 + 4 + 3 + 5 + 4

= 35 in

Thus,

The area is 54 in².

The perimeter is 35 in.

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The sequence as shown is a geometric sequence.

We know that the geometric sequence is the kind of sequence in which there is the common ratio. We can tell that for the geometric sequence we have;

U(n) = Tr^n-1

Where T is the first term and then r is the common ration while n is the number of terms.

Given the fact that we have the terms in the sequence as 81, 27, 9, 3, 1. We can see that the common ratio of the sequence is given as;

r =  T2/T1 = 27/81

1/3

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The required point (-2, 1/2) lies in the second quadrant of the coordinate plane.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

The point (-2, 1/2) lies in the second quadrant of the coordinate plane.

In the second quadrant, the x-coordinates are negative and the y-coordinates are positive. Since the x-coordinate of the point (-2, 1/2) is negative and the y-coordinate is positive, it lies in the second quadrant.

Thus, the point (-2, 1/2) lies in the second quadrant of the coordinate plane.

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The table that represents f⁻¹(x) in the attached figure

A relation is a function if it has only One y-value for each x-value.

we know that, If (x,y) is a solution of f(x)

then (y,x) is a solution of f⁻¹(x)

In this problem, the ordered pairs in the table that represent f(x) are

(-2,11),(-1,8),(0,5),(1,2),(2,-1)

therefore, The ordered pairs that represent f⁻¹(x) are

(11,-2),(8,-1),(5,0),(2,1),(-1,2)

Hence, the table that represents f⁻¹(x) in the attached figure

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Answer:

answer is sister's.

Step-by-step explanation:

sisters mean more than one sister.

sisterses isn't a word.

sisters' also isn't a word.

sister's is a word and it means that she has possession of something or that she owns something.