Which of the following is a true statement about the angle in the figure below

A. The m<3 is 142°
B. The m <1 is 99°
C. The m<2 is 137°
D. The m<4 is 137°​

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

An equation for the linear function is f(x) = x - 3.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (-2, -5), a linear function in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-5) = (-1 - (-5))/(4 - (-2))(x - (-2))

y + 5 = (1 + 5)/(4 + 2)(x + 2)

y + 5 = 6/6(x + 2)

y = x + 2 - 5

f(x) = y = x - 3

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We know that 15 granola bars cost $11.

To find the unit price, we have to divide.

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.

Then the retail price is given as,

⇒ $80 x (1 + 0.445)

⇒ $80 x 1.445

⇒ $115.60

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

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The rent that the student is paying at the former house is $525.

A linear equation is an equation that when graphed is a straight line. A linear equation has a single variable that is raised to the power of one.

The linear equation that can be used to represent the information in the question is:

New rent = (2 x former rent) - $200

$850 = 2f - $200

In order to determine the value of f, take the following steps:

Combine similar terms: $850 + $200 = 2f

Add similar terms: $1050 = 2f

Divide both sides by 2 : f = 1050 / 2 = $525

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Answer:

4

Choice D

Step-by-step explanation:

\(\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\dfrac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\)

\(\mathrm{Periodicity\:of\:}\cos \left(x\right)\:\mathrm{is}\:2\pi\)

Answer:

-3/2

Step-by-step explanation:

Slope: (y₂ - y₁) / (x₂ - x₁)

Plug the given points into this formula:

(-4 - 5) / (8 - 2) =

(-9) / (6)

-3/2

Answer:

First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance. Don't worry if the subtraction yields negative numbers. The next step is to square these values, and squaring always results in a positive number. Hopefully this makes sense...

Step-by-step explanation

Answer:

-0.3048106211

Step-by-step explanation:

50-20=30 rate of markup

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

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

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

\(x = 2\)

Step-by-step explanation:

1) Simplify 3/12 to 1/4.

\( \frac{x}{8} = \frac{1}{4} \)

2) Multiply both sides by 8.

\(x = \frac{1}{4} \times 8\)

3) Simplify 1/4 × 8 to 8/4.

\(x = \frac{8}{4} \)

4) Simplify 8/4 to 2.

\(x = 2\)

Therefor, the answer is x = 2.

Answer:

x ≈ 34.28

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = \(\frac{opposite}{adjacent}\) = \(\frac{19}{x}\) ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x = \(\frac{19}{tan29}\) ≈ 34.28 ( to the nearest hundredth )

Answer:

$1.50

Step-by-step explanation:

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer: D

Step-by-step explanation:

The area of each of the triangles is (1/2)(9)(8).

So the area of all 4 triangles combined is (2)(9)(8)=144.

The area of the square is 8^2 = 64

So the total surface area is 144 + 64 = 208

Answer:

In this case, the greatest common factor is 4.

Step-by-step explanation:

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Answer:2

Step-by-step explanation: 15x5=75

75/26=2.886

Answer:

Each one has 3 even and 3 odd numbers.

For the first one to be even there is a 3/6 probability, which reduces to 1/2.

The probability of the second one being even is also 1/2.

The probability of both being even would be 1/2 x 1/2 = 1/4 probability

Answer:

Time, and Amount

Step-by-step explanation:

Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.

The information that Jada needs to know how fast the water comes out of her faucet include time and the amount of water.

Since Jada needs to know how fast the water comes out of her faucet include time and the amount of water. For example, let's say the amount of water coming out is 20 liters in 4 hours.

Therefore, this means the amount of water coming out per hour will be:

= 20 liters / 4 hours

= 5 liters per hour.

The main information needed is the time and the amount of water.

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Answer:

24 free throws

Step-by-step explanation:

30 * 0.8 = 24

0.8 represents the 80%

The value of the given mathematical function in the statement is ƒ(8) = -239.

According to the statement

we have to evaluate the function and find the given value.

So, For this purpose, we know that the

Mathematical function is an expression, rule, or law that defines a relationship between one variable and another variable.

From the given information:

ƒ(x) = −3x² - 6x +1

And put x = 8 in this then

So, Substitute the values in it then

ƒ(x) = −3x² - 6x +1

ƒ(8) = −3*8² - 6(8) +1

ƒ(8) = −192 - 48 +1

ƒ(8) = -239.

This is the value of the given mathematical function in the statement.

So, The value of the given mathematical function in the statement is ƒ(8) = -239.

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Answer:

\(x<-6\text{ or } x>2\)

Step-by-step explanation:

We have the inequality:

\(\frac{2}{5}|5x+10|-14>-6\)

First, we can factor out a 5 from our absolute value. This yields:

\(\frac{2}{5}(5|x+2|)-14>-6\)

Simplify:

\(2|x+2|-14>-6\)

Add 14 to both sides:

\(2|x+2|>8\)

Divide both sides by 2:

\(|x+2|>4\)

Definition of Absolute Value:

\(x+2>4\text{ or } -(x+2)>4\)

Solve each case individually:

Case 1:

\(x+2>4\)

Subtract 2 from both sides:

\(x>2\)

Case 2:

\(-(x+2)>4\)

Divide both sides by -1. Flip the sign:

\(x+2<-4\)

Subtract 2 from both sides:

\(x<-6\)

So, our answers are:

\(x<-6, x>2\)

Since our inequality is a greater than, we will have an "or" inequality.

So, our answer is all values left to the first solution and all values to the right of the second solution:

\(x<-6\text{ or } x>2\)

And we're done!

Answer:

$38.02

Step-by-step explanation:

$36.73 × 1.035 = $38.02 (after rounding to two decimal places)

Answer:

The margin of error is  \(E = 0.4606 \)      

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 100

    The sample mean is  \(\= x = 12.5 \ years\)

    The standard deviation is  \(\sigma = 2.8 \ years\)

From the question we are told the confidence level is  90% , hence the level of significance is    

      \(\alpha = (100 - 90 ) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>   \(E =1.645*  \frac{ 2.8 }{\sqrt{100} }\)

=>   \(E = 0.4606 \)      

10 divided by 0 problem would NOT have a solution.

Given:

a. 10 divided by 2

b. 10 divided by 5

c. 10 divided by 0

d. 0 divided by 10

We know that ,

Integer divided by an integer is an integer

Therefore (a) and (b) will have a proper solution

We also know that ,

Zero divided by anything is Zero

Therefore (d) also have a unique answer that is zero

Now , We know that

Any numeric value divided by Zero tends to infinity .

Hence, 10 divided by 0 problem would NOT have a solution.

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The best estimate for 38/6 is option C that is equals to  4.

What is division ?

Division is a mathematical operation that involves splitting a number or quantity into equal parts or groups. It is the opposite of multiplication, where we find how many groups of a certain size can fit into a larger number or quantity.

When we divide one number by another, we are finding out how many times one number can be evenly divided by another number. For example, when we divide 12 by 3, we are asking "how many groups of 3 are in 12?" The answer is 4, because we can divide 12 into 4 equal groups of 3.

The best estimate for 38/6 is option C, 4.

We can see that 6 goes into 38 about 6 times (6 x 6 = 36), and there is a remainder of 2. Therefore, the answer is between 6 and 7. Since the options are all whole numbers, the best estimate is 4.

Therefore, The best estimate for 38/6 is option C that is  4.

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Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees