What function is graphed below?
y=x/3-1
y=3x
y=x-3
y=x+3

Answer:

36/27

Step-by-step explanation:

SOHCAHTOA, so tan is opposite over adjacent.

opposite = 36

adjacent = 27

So, tan C is 36/27

The true statement is "viet's car can uses 13 gallons of gas for every miles it travels.

The correct answer choice is option B.

Julio's car:

m = k × g

Where,

m = miles traveled

g = gallons of gas used

m = k × g

300 = k × 12

300 = 12k

divide both sides by 12

k = 300/12

k = 12

So,

m = 12g

Viet's car:

m=13g

Therefore, the correct statement is viet's car uses 13 gallons of gas for every mile.

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Step-by-step explanation:

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Answer:

70 parking spaces were full.

Step-by-step explanation:

To calculate this, multiply the total number of parking spaces (100) by the percentage of the lot being used (70%):

100 * 0.70 = 70

Answer:

120

Step-by-step explanation:

First you do the question in the paretheses.

12 + 12 = 24

5 x 24 = 120

Answer:120

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

[tex]\frac{1}{6}+\frac{5}{6}[/tex]

in here [tex]\frac{1}{6}= 15\\ \\so\\\\\frac{5}{6} =75\\\\\frac{1}{6} +\frac{5}{6}=\frac{6}{6} \\[/tex]

in this case it is 15+75=90

The equivalent expression is 8x + 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(x + 5)² - (x - 3)(x + 5)

x² + 10x + 25 - (x² + 5x - 3x - 15)

x² + 10x + 25 - x² - 2x + 15

8x + 40

Thus,

8x + 40 is the equivalent expression.

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Answer:

2x-4=0

2x=-4

Step-by-step explanation:

2x-4=0

2x-4+4=0+4

2x/2=4/2

x=2

2x=-4

2x/2=-4/2

x=-2

Note that the best description for the graph is a > 4 is "A vertical solid line at (4,0) with the shading to the right of the line." (Option B)

Note that the inequality means that a is greater than 4. This means that the end value 4 is not included.

To graph the inequality " > " a dashed line is used. The inequality does not contain any y - value in it.

Hence, it has only one vertical line at a> 4 and is shaded for all values of a greater than 4.

Thus, the graph that fits the inequality is a vertical dashed line, shaded to the right of the line.

It is correct to state, therefore, that option B is the corect answer.

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If the student walks 3 miles north, south, east, or west,  the location at the end of the walk are respectively, (-10,-9). (-4,-9), (-7,-6). (-7, -12).

So Option A is correct

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

And opposite operation of subtraction is known as addition, which means in addition, few portion provided to the whole part.

Given that,

A student starts a walk at (-7, -9)

If the student walks 3 miles north, south, east, or west,

The location at the end of the walk = ?

Plotting dotted diagram,

                  East

                      |

North --------- |-------------- South

                      |

                  West

Suppose, he goes to north  direction

Then, 3 will be subtracted from x coordinate,

It can be written as,

(-7-3, -9)

(-10, -9)

Similarly, for South, (-4, -9)

East, (-7, -6)

West, (-7, -12)

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Answer: x = 2 and y = -4

The mass of the sample after four days is 1.75 kg.

The decay rate for a radioactive substance follows the exponential decay formula:

m(t) = m₀ * e^(-kt),

where m₀ is the initial mass, m(t) is the mass at time t, k is the decay rate parameter, and e is the base of the natural logarithm.

Given that the initial mass of the sample is 2.05 kg and the decay rate parameter is 4% per day, the formula becomes:

m(t) = 2.05 * e^(-0.04t).

To find the mass after four days, we substitute t = 4:

m(4) = 2.05 * e^(-0.04 * 4)

m(4) = 1.75 kg

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Answer: x = -2/3

Step-by-step explanation:

6x+8=3x+6

First, subtract 8 from each side. we now have 6x = 3x - 2. now we subtract 3x from each side and we get 3x = -2. we have to divide both by 3 now. The 3’s cancel each other out so now we have x = -2/3

Answer:

Step-by-step explanation:

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The value of function for f'(2) is 0.22.

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

Given that, f(x)= √(x+3) at the specific point x=2.

f'(2)= [tex]\lim_{h \to \ 0}[/tex]((f(2+h)-f(2))/h)

Find the derivative using the chain and power rules.

[tex]f(x)=(x+3)^{\frac{1}{2} }[/tex]

f'(x) = [tex]\frac{1}{2(x+3)^{\frac{1}{2} }}[/tex]

f'(2)=  [tex]\frac{1}{2(2+3)^{\frac{1}{2} }}[/tex]

f'(2)=  [tex]\frac{1}{2(2+3)^{\frac{1}{2} }}[/tex]

f'(2)= 1/2√5

f'(2)= 1/4.47

f'(2)= 0.22

Therefore, the value of function for f'(2) is 0.22.

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Answer:

hi

Step-by-step explanation:

Answer: To find the product of two rational expressions, we multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.

So, (2/x) * (3/2x-5) = (2 * 3) / (x * (2x-5)) = 6 / (2x^2 - 5x)

Step-by-step explanation:

Answer:

D. The average rates of change of f and g cannot be determined from the given information.

Step-by-step explanation:

To determine the average rate of change of a function, we need the equation of the function. Since the equation of g is not given, we cannot determine the average rate of change of g and compare it with the average rate of change of f. Hence, option D is the correct answer.

The data are shown in the contingency table below, organized by political party therefore the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans is 0.64.

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Number of people unhappy with the state of the country to be republicans = 98

Number of people happy with the state of the country to be republicans = 152

Therefore the ratio is 98/152 = 0.64

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Answer:

Step-by-step explanation:

0.46

There are 32 waiters in the restaurant.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The ratio of diners to waiters is 1:8 respectively.

Let x be the number of diners and 8x be the number of waiters.

If the total number of people in the restaurant is 36,

that means, 8x + x = 36

x = 4

Then, the number of waiter = 32.

Therefore, the number of waiter = 32.

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The value of x is 9 and the measure of each side is 35 units.

A triangle is said to be equilateral if each of its three sides is the same length.

In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Given, Triangle QRS is an equilateral triangle.  

QR is seventeen more than twice x ---> QR = 17 + 2x

RS is 19 less than six times x, ---> RS= 6x - 19

And QS is one less four times x, ---> QS = 4x -1

We have to find x and measure of each side.

Now, we know that, the sides of an equilateral triangle are equal,  

If we solve for RS and QS, we find they are both equals to 35.

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The coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5). The solution has been obtained by using the concept of reflection.

What is reflection?

In geometry, a reflection is referred to as a flip. In a reflection, the shape is reflected. An image will reflect over a line known as the line of reflection.

We are given a point T(-2, 5)

In order to find the coordinates of the reflection of  point in the y-axis, we need to change the sign of abscissa i.e., x-coordinate and retain the ordinate i.e., y-coordinate.

So, we get the image of (-2 , 5) as (2, 5)

Thus, the coordinates of point T' after Ry-axis is (2, 5).

When we reflect across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

So, we get the image of (-2 , 5) as (-2, -5).

Thus, the coordinates of point T' after Rx-axis is (-2, -5).

Hence, the coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5).

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Answer: $84

Step-by-step explanation:

The interest earned in 2 years would be $600 * 7% * 2 = $84.

The area of the napkin will be 162.5 inches².

The area of a square is -

{A} = Side x Side

Given is that a square piece of cloth with an area of 324 inches² is folded in half twice to form the napkin.

The area of the cloth is -

{A} = 324

Let the side of the square cloth be {a}. So, we can write -

a² = 324

a = √324

{a} = 18                                              ... Eq { 1 }

The diagonal of the square will be the base length of the napkin (in the form of triangle). So, we can write -

d² = a² + a²

d² = 2a²

d² = 648

d = √648

{d} = 25.5 inches                                       ... Eq { 2 }

The height would be -

h = d/2

h = 25.5/2

{h} = 12.75

The area of the napkin would be -

1/2 x d x h

1/2 x 25.5 x 12.75

162.5 inches²

Therefore, the area of the napkin will be 162.5 inches².

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The number of items on their grocery shopping list given the percentage already bought is 20 items.

Percentage of items bought already= 60%

Number of items bought already= 12

Total number of items on the list= x

Number of items bought already = Percentage of items bought already × Total number of items on the list

12 = 60% × x

12 = 0.6 × x

12 = 0.6x

divide both sides by 0.6

x = 12/0.6

x = 20 items

Hence, there are a total of 20 items on their grocery list.

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The ratio will remain constant. Then the value of the variable 'x' will be 2.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The ratio will remain constant. Then the equation is given as,

9/4 = 13.5 / (x + 4)

9(x + 4) = 13.5 (4)

9x + 36 = 54

9x = 18

x = 2

The ratio will remain constant. Then the value of the variable 'x' will be 2.

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Answer: I don't know what's in the drop down menu, but the relationship you displayed is indeed a proportonial relationship

Step-by-step explanation: For each change of x, an equal change of y occurs. If you double x, y doubles as well. That means that the relationship between x and y is dirctly proportional.

Answer:

Step-by-step explanation:

does not I think