Find the domain of the rational function.
f(z) = z + 3
z(z − 9)

All real values
All real values of z such that z ≠ 0
All real values of z such that z ≠ 0 and z ≠ 9
All real values of z such that z ≠ 9
All real values of z such that z ≠ 3

Answer:
All real values of z such that z ≠ 0 and z ≠ 9

Answer: 2x + 43 is already solved  and so is x 1/3 and x < 1/3

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

The translation is done to the right 5 units and up two units.

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that vertices of ΔABC are A(2, 1), B(4, 4) and C(4, 1).

And vertices of ΔDEF are D(7, 3), E(9, 6) and F(9, 3).

Translation towards left or right changes the x coordinate and translation towards up or down changes the y coordinate.

Translation toward right and up results in positive translation and towards left and down results in negative translation.

A(2, 1) becomes D(7, 3) when D(2 + 5, 1 + 2).

Similarly,

B(4, 4) becomes E(9, 6) when E(4 + 5, 4 + 2)

C(4, 1) becomes F(9, 3) when F(4 + 5, 1 + 2)

So the translation is 5 units right and 2 units up.

Hence the translation is 5 units right and 2 units up.

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Answer:x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since it's a equilateral triangle, all sides are equal

So you can do the equation 3x - 1 = 11

You then add 1 on both sides, leaving the equation as 3x = 12

You divide both sides by 3, which leaves you with x = 4

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer: 5 second on the way down

Step-by-step explanation: i hope this helps plz tell me if its wrong so i can fix it

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer: its protein channels

Step-by-step explanation:

Answer:

here u go

Step-by-step explanation:

its 9/5 or 1.8. Also 1 to 4/5

Answer:

Slope (m) =  

ΔY

ΔX

=  

1

2

= 0.5

θ =  

arctan( ΔY )

ΔX

= 26.565051177078°

ΔX = 5 – 1 = 4

ΔY = 8 – 6 = 2

Distance (d) = √ΔX2 + ΔY2 = √20 = 4.4721359549996

Equation of the line:

y = 0.5x + 5.5

or

y =  

1 x

2

+  11

2

When x=0, y = 5.5

When y=0, x = -11

Answer:

y2 - y1 = Δy, or vertical change, while x2 - x1 = Δx, ... Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline: m = 8 - 4. 6 - 3. = 4. 3. d = √(6 - 3)2 + (8 - 4)2 = 5 ...

Step-by-step explanation:

Answer:

4 oranges, 5 apples, 6 pears in each bag

Step-by-step explanation:

theyre all divisible by 4

Answer:

96750

Step-by-step explanation:

s.i=p×r×t

=90000×5×15/10 all divided by 100

9000×5×15 divided by 100

=90×5×15

=6750

amount=s.i+principal

=6750+90000

=96750

Answer:

-0.3d-2.2

Step-by-step explanation:

2.8d-6+3.8-3.1d

Combine like terms

2.8d-3.1d   -6+3.8

-0.3d-2.2

Answer:

31 degrees

Step-by-step explanation:

90-59

=31

~rere

Answer:

<b = 31 °

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles

So . .

Because the sum is 90 subtract!

<b = 31 °

Answer:

m=-4

Step-by-step explanation:

Answer:

take 1 - 4 you should get answer

Step-by-step explanation:

4x + y = 1

Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

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

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

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

Answer:

p = $200

Step-by-step explanation:

90/p = 45/100

45p = 9000

p = 9000/45 = $200

Answer:

b :)

Step-by-step explanation:

If you simplify it you get:

|-3|<|9|

3 < 9

true

and -3 < 9

true

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Answer: The slope of the line is -2/3.

Step-by-step explanation:

How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!

I hope this helps :)

Answer:

-2/3

Step-by-step explanation:

Hope this helps!

Answer:

56.25 m³ (Or) 56 1/4 m³

Step-by-step explanation:

5x2.5x4.5= 56.25 m³

Answer:

83 kilometres per hour =

51.574 miles per hour

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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Answer:

D

Step-by-step explanation:

in order smallest to largest

2, 4, 6, 8, 8, 10, 12

the figure in the middle is 8, therefore the median is 8

hope this helps :)

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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The formatting guidelines for any kind of chart includes:

The formatting guidelines for a chart varies depending on the purpose of the chart and the audience it is intended for.

However, some general guidelines for chart formatting include:

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Answer:

299 square feet

Step-by-step explanation:

Area of a parallelogram = base × height

Base = 23 ft

Height = 13 ft

Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.

Area of the parallelogram shown = 23 × 13

Area = 299 ft²

Answer:

1

Step-by-step explanation:

Answer:

The volume of the square prism is equal to the volume of the cylinder.

Step-by-step explanation:

As per the information depicted the volume of the square prism is equal all to the volume of the cylinder. Hence option C is correct.

A square prism is thee dimensional cuboid with a base and the top has an equal square while the remaining four faces have a rectangle and the opposite side angles of the square prism are congruent and parallel to each other.

As a square prism have the least two lengths that are equal to each other. Hence the volume of the square prism is equal to the volume of the cylinder as they have the same height and area of cross-section.

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Using the monthly payment formula, we have that:

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

The down payment is 20% of $175,000, hence:

D = 0.2 x 175,000 = $35,000.

Hence the parameters are:

P = 175,000 - 35,000 = 140,000, r/12 = 0.055/12 = 0.004583, n = 30 x 12 = 360.

Then the monthly payment is found as follows:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(A = 140,000\frac{0.004583(1.004583)^{360}}{(1.004583)^{360} - 1}\)

A = $795.87.

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