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Does this graph show a function? Explain how you know
A. No; there are y values that have more than one x value.
B. No, the graph fails the vertical line test.
C. Yes; there are no yvalues that have more than one x-value.
D. Yes; the graph passes the vertical line test.

Answer:

1/6

Step-by-step explanation:

The value of the fraction that is equal to the number 0.16666... would be 5/30.

Given that,

Change the number 0.16666... into a fraction.

Used the concept of fraction which stated that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Let us assume that the number 0.1666.. equal to x.

Hence,

x = 0.166666 .....  .. (i)

Multiply by 10 on both sides,

10x = 1.66666...  (ii)

Also, multiply by 100 in equation (i),

100x = 16.6666.. (iii)

Subtract equation (ii) from (ii),

100x - 10x = 15

90x = 15

x = 15/90

Simplify for the simplest form,

x = 5/30

Therefore, the value of the fraction is 5/30.

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The inequality that represents the number of backpacks to sell is $30x - $10x  - 10,000 ≥ 1000

The number of backpacks the factory must sell in order to meet its weekly goal is 550.

Here are inequality signs and what they mean:

Profit is total revenue less total cost.

Profit = total revenue - total variable cost - operating expense

$30x - $10x  - 10,000 ≥ 1000

$20x  ≥ 11,000

x  ≥ 11000 / 20

x  ≥ 550

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Answer:

new price: $2.9295

Explanation:

original price: 100%

new price: 100% + 5% = 105%

solve:

$2.79 * 105%

$2.9295

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

a

Step-by-step explanation:

for the first answer it’s the first equation

Answer:

Umm can you take another picture  of it because i can't really see it ,

Step-by-step explanation:

The value of "a" can be any number between -3 and 3.

What is the value inequalities?

Value inequalities, which involve finding the possible values of a variable that satisfy an inequality containing an absolute value expression

The expression that is equivalent to |a| ≤ 3 is "a ≥ -3 and a ≤ 3". This means that the value of "a" can be any number between -3 and 3, inclusive.

The other expressions listed as choices are not equivalent to |a| ≤ 3:

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Answer: 9

Step-by-step explanation:

Range = maximum number - minimum number (in a data set)

50-41 = 9 minutes

Answer:

y = 3/4x-3

Step-by-step explanation:

Answer:

Acute Triangle.

Explanation:

The figure shows an equilateral triangle which has all the angles equal.

Acute Triangles are those who has angles less than 90°

Hence, an equilateral triangle is always an acute triangle.

Additional,

A right angle triangle has 90° angle.

An obtuse triangle has greater than 90° angle.

Answer:

34+a = 90

a = 90-34

a = 56

Answer:

56°

Step-by-step explanation:

a = 90° - 34° = 56°

Answer:

See below.

Step-by-step explanation:

For this problem, we are asked for the value of x.

Let's use a Proportion to identify x.

A Proportion is a comparison of two equivalent fractions, or ratios.

An example of a proportion can be; \(\frac{x}{16} =\frac{16}{32}\), where the value of x is 8.

For this example, we can find x by dividing the Numerator and Denominator by 2.

Let's use the example as a guide for our problem.

We can set up our problem as a ratio, or a fraction. Both represent the same data.

\(\frac{x}{8} = \frac{21}{24}\)

We should know that 24 is 3 times bigger than 8, hence we should divide both the Numerator and Denominator by 8.

\(\frac{21 \div 8}{24 \div 8} = \frac{7 \ (x)}{8}\)

The value of x is 7.

Answer: x = 7

Step-by-step explanation:

   Given:

x:8 = 21:24

   Rewrite as fractions:

\(\displaystyle \frac{x}{8} =\frac{21}{24}\)

   Cross-multiply:

x * 24 = 8 * 21

24x = 168

   Divide both sides of the equation by 24:

x = 7

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

(3,5)

Step-by-step explanation:

Answer:

-3,5

Step-by-step explanation:

Answer: There is no such thing. All number have to be rational or irrational

Answer:

1.) 1.5972

2.) 11.4688

3.) 4.9725

4.) 1.81

5.) 29.3112

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

The simplified expression in mathematical form is -45.36.

What is an expression?

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.

The expression given is -

(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)

Simplifying the terms inside the parentheses first, we get -

(-15 + 7.74 / 6) × (9 - 5.7)

Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -

(-15 + 1.29) × (9 - 5.7)

We add -15 and 1.29 inside the first set of parentheses -

(-13.71) × (9 - 5.7)

We subtract 5.7 from 9 inside the second set of parentheses -

(-13.71) × 3.3

Multiplying these two terms, we get -

-45.363 ≈ -45.36

Therefore, the value is obtained as -45.36.

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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:

(in attachment)

Step-by-step explanation:

you can find the points by inputting the x-values into the equation to solve for the y-values, then connecting the plotted points to create the line.

When x=-4

y=1/2(-4)

y=-2

(-4,-2)

Repeat for all values.

Using the zero product property, we can set each factor equal to zero.

First Factor \(x^{4}+5x^{2}-36\)

\(x^{4}+5x^{2}-36=0\\(x^{2}+9)(x^{2}-4)=0\\x^{2}+9=0, x^{2}-4=0\\x=\pm 3i, x=\pm 2\)

Second Factor \(2x^{2}+9x+5\)

Using the quadratic formula, we get \(x=\frac{-9 \pm \sqrt{41}}{4}\).

Answer:

A business person will use algebra to determine whether a piece of equipment does not lose its worth if it is in stock.

Step-by-step explanation:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

4 (x) + 4 (2)

Step-by-step explanation:

Answer:

it will be 736 speed faster than

Answer:

Step-by-step explanation:

g(5) = 5^2 - 3(5) = 25 - 15 = 10

f(10) = 4(10) - 2 = 40 - 2= 38

Answer:

Step-by-step explanation:

The Number makes the number sentence true 92+87= __+92 is

HENCE

the number is 87.

Step-by-step explanation:

87 is the answer of this question

okokkoookkokkk

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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