In right triangle ABC, A= 90°, cos B = x +0.69, and sin C = 3x +0.25. Solve for x.

Answer:

Step-by-step explanation:

g(x) = (-x)1/2

The common sum is 18 as "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same".

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. The outcome or conclusion we arrive at when we add two or more numbers is known as the SUM. Addends are the numbers that are added.

Here,

The sum of the numbers on one face of the cube is equal to the sum of the numbers on the opposite face of the cube; these 8 numbers represent all of the vertices of the cube.

=(1+2+3+4+5+6+7+8)/2

=18

Since "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same," the common sum is 18.

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Answer: 3m + 21

Step-by-step explanation:

Answer:

5x

Step-by-step explanation:

Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km

We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.

Speed of Train 1 = 120 km/h

Speed of Train 2 = 90 km/h

Time spent by train 1 = 1 hour

Time spent train 2 = 1 hour

Formula for distance is;

Distance = Speed * time

If they leave the same time each day, it means that;

Distance of train 1 = 120 * 1 = 120 km

Distance of train 2 = 90 * 1 = 90 km

Thus, distance at which they will be apart before meeting each other is;

Distance apart = 120 - 90

Distance apart = 30 km

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Answer:

the slope of pq is m=-13/8

and for rs is m=-1

yes thes line are parallel

Step-by-step explanation:

Answer:

To show your work for this question, I would analyze the data presented in the graphs. I would look at the pie chart for week one and week two to determine the percentage of sales for each drink. From there, I would compare the percentages to see which statement is true. For statement A, I would look at the total percentage of Cherry Cola sales over the two weeks. For statement B, I would compare the percentage of Diet Cola sales from week one to week two. For statement C, I would look at the percentage of Lemon-Lime sales in week two. Based on this analysis, I would select the statement that is true, which is either A, B, C, or none of the above.

Answer:

Examin the chart and explain how you got your answer thats all i know

Answer:

there were 8 adults and 7 students

Step-by-step explanation:

7.25(8) + 5.5(7) = 96.5

the numbers in the parenthesis stand for the number of people

have a great day :D

Step-by-step explanation:

The Answer Is

8 Adults And 7 Students

Answer:

1.25

Step-by-step explanation:

type in your calculator:

-1.5+2.75 OR 2.75-1.5

you should get the same answer

Answer:

1.25(my last answer was deleted somehow)

Step-by-step explanation:

2.75-1.5=1.25

Answer:

it moves 2 to the right

Answer:

y = 3x - 2

Step-by-step explanation:

Given the points :

(2,4) and (6,16).

x1 = 2 ; y1 = 4 ; x2 = 6 ; y2 = 16

Y = mx + b

m = slope

b = intercept

m = Rise / Run

Rise = y2 - y1 = 16 - 4 = 12

Run = x2 - x1 = 6 - 2 = 4

m = 12 / 4 = 3

Y = 3x + b

4 = 3(2) + b

4 = 6 + b

4 - 6 = b

b = - 2

Equation becomes ;

y = 3x - 2

The probability of a person eating out and seeing a movie after their meal is approximately 0.448 or 44.8%.

To find the probability of a person eating out and seeing a movie after their meal, we can use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the number of favorable outcomes is 112 (as 112 people out of 250 plan to see a movie after their meal). The total number of possible outcomes is 250 (as there are 250 people eating out).

Therefore, the probability of a person eating out and seeing a movie after their meal is:
Probability = 112 / 250

Simplifying this fraction, we get:
Probability = 0.448

So the probability of a person eating out and seeing a movie after their meal is approximately 0.448 or 44.8%.

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Answer:

10

Step-by-step explanation:

14 divided by 2 = 7 + 3 = 10

Answer:

3.5

Step-by-step explanation:

am not that sure but try that

The fractional equivalent of the repeating decimal would be 15/99 and 0.1515 ... is a repeating decimal so it does n't end , but in the shown number is 4 digits .

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction.

Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.

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Thhe ratio of the planter's length to width is 4. Length : Width = 4 : 1

We are given that the ratio of the planter's width to height is 4. Mathematically, this can be expressed as:

w/h = 4

Substituting the expressions for w and h, we have:

(42 - 2x)/(18 - 2x) = 4

Let's solve the equation to find the exact value.

First, cross-multiply:

(42 - 2x) * 1 = (18 - 2x) * 4

42 - 2x = 72 - 8x

6x = 30

x = 5

Now we can substitute x = 5 into the expression (42 - 2x)/(18 - 2x):

(42 - 2(5))/(18 - 2(5)) = 32/8 = 4

Therefore, the ratio of the planter's length to width is 4. Length : Width = 4 : 1

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Work Shown:

The floor area is length*width = 5*15 = 75 square meters

1 square meter = 5 dollars

75*(1 square meter) = 75*(5 dollars)

75 square meters = 375 dollars

Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

Given a regression equation is y = 5000 + 7.25x, where y is the predicted sales value (in dollars) and x is advertising budget (in dollars).To find the predicted difference in sales of two stores which differ by $30,000 in advertising budget. Here, the slope of the line is 7.25. This means that for every dollar increase in advertising budget, sales will increase by $7.25. Therefore, a $30,000 difference in advertising budget will lead to a difference in sales of:7.25 × 30,000 = 217,500Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

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Answer:

115

Step-by-step explanation:

180-65=115

the whole triangle is 180 degrees so subtract 65 degrees from it

Answer:

g(-4)= -52

Step-by-step explanation:

g(x) = 8x -20

Substitute -4 for x

g(-4) = 8(-4) -20

g(-4) = -52

The probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur, is 3/5.

The symbol "∩" represents the intersection of two events.

For example, "a ∩ d" means the event where both "a" and "d" occur together.

The symbol "~" means "not" or "complement." So, "~ (a ∩ d)" means the event where "a ∩ d" does NOT occur, or in other words, where "a" OR "d" does not occur.

Now, onto the question.

We are given that p(a ∩ d) = 2/5, which means that the probability of both events "a" and "d" occurring together is 2/5.

We want to find the probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur.

To find this probability, we need to use some basic probability rules.

One of these rules is that the probability of an event happening (let's call it "E") is equal to 1 minus the probability of the complement of that event not happening (~E).

In other words, p(E) = 1 - p(~E).

So, if we apply this rule to the event "~ (a ∩ d)", we get:
p(~ (a ∩ d)) = 1 - p(a ∩ d)

Now we can substitute in the value we were given for p(a ∩ d):
p(~ (a ∩ d)) = 1 - 2/5

Simplifying this gives:
p(~ (a ∩ d)) = 3/5

Therefore, the probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur, is 3/5.

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Answer:

x = 66°

∠MON = 57°

x = 13°

Step-by-step explanation:

To tired to explain, just take my word for it...

Answer:

1.

X=66

2.

57

3.

13

Step-by-step explanation:

Good luck .

Answer:

54..................

La respuesta es:

2780.37

Step-by-step explanation:

slope of the segment through (-9, -8) and (-5, 6) is (-9-(-5))/(-8-6)=-(-4)/(-14)=2/7

this means the slope of the perpendicular is -7/2.

the midpoint of the segment is (-7, -1)

so the line is y+1=(-7/2)(x+7).

Using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

The study of events that fit into a probability distribution is known as statistics.

So, we know that:

The boys are 17.

The girls are 22.

Probability formula: P(E) = Favourable events/Total events

Then, the probability that the 27th person is a boy:

P(E) = Favourable events/Total events

P(E) = 17/39

P(E) = 0.43

P(E) = 43%

Therefore, using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

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One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.

What is system of linear equations?

A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.

Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.

equation 5=20

20-5 = 15

Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.

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Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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The probability that both Event A (the first die is 4 or less) and Event B (the second die is even) will occur is 1/3.

To find the probability that both Event A and Event B will occur, we need to calculate the individual probabilities of each event and then multiply them together.

Event A: The first die is 4 or less.

There are 6 possible outcomes for the first die (numbers 1 to 6), and out of those, 4 outcomes (numbers 1, 2, 3, and 4) satisfy the condition. Therefore, the probability of Event A is 4/6, which simplifies to 2/3.

Event B: The second die is even.

For a fair six-sided die, there are 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes. Therefore, the probability of Event B is 3/6, which simplifies to 1/2.

To find the probability that both events will occur, we multiply the probabilities of Event A and Event B:

Probability of both events occurring = Probability of Event A * Probability of Event B

P = (2/3) * (1/2)

P = 2/6

P = 1/3

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To determine if the given tip amounts are correct for a 20% gratuity on each subtotal, we can multiply the subtotal by 0.2 (which is equivalent to 20%) to find the correct tip amount.

Let's say the subtotal is represented by S.

To find the correct tip amount for a 20% gratuity, we need to multiply S by 0.2.

This will give us 0.2S. If the given tip amount matches 0.2S (rounded to the nearest cent if necessary), then it is correct for a 20% gratuity.

Then, we can compare this calculated amount with the given tip amount to determine if they match.

To determine if the given tip amounts are correct for a 20% gratuity on each subtotal, calculate 0.2 times the subtotal and compare it with the given tip amount. If they match (rounded to the nearest cent if necessary), then the tip amount is correct for a 20% gratuity.

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