Evan needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 4.5 hours and charged him $97 for parts. The
total was $479.50. What was the cost of labor, per hour?

Answer:

D. {(1,2) , (2,3) , (3,4) , (4,5)}

Step-by-step explanation:

Functions are relations with one output for any unique input. Relations that pass the vertical line test have one output for each input. In this case, D was the only set that met the criteria.

Therefore, the values of x that make the equation 33x² = 11 true are x = 1/√3 or x = -1/√3.

In mathematics, an equation is a statement that asserts the equality of two expressions, often separated by an equal sign. An equation typically has one or more variables, which are values that can change or vary, and one or more constants, which are values that are fixed. The goal of solving an equation is to find the values of the variables that make the equation true. Equations can be used to model relationships between different quantities, and they are a fundamental tool in many areas of mathematics, science, engineering, and economics.

Here,

To solve the equation 33x² = 11, we need to isolate the variable x on one side of the equation.

First, we can divide both sides of the equation by 33:

33x²/33 = 11/33

Simplifying this gives:

x² = 1/3

To solve for x, we can take the square root of both sides of the equation:

√(x²) = √(1/3)

Simplifying this gives:

|x| = 1/√3

So, x could be either positive or negative:

x = 1/√3 or x = -1/√3

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Answer:

The same sign

Step-by-step explanation:

To form a polynomial with the given zeros (-3, 0, 6) and degree 3, we can use the zero-product property and create a polynomial by multiplying the factors corresponding to each zero.

The factors corresponding to the zeros are:

(x - (-3)) = (x + 3) (for the zero -3)

(x - 0) = x (for the zero 0)

(x - 6) (for the zero 6)

Multiplying these factors, we get:

(x + 3) * x * (x - 6)

To ensure a leading coefficient of 3, we can multiply the entire polynomial by 3:

3 * (x + 3) * x * (x - 6)

Expanding the polynomial, we get:

3x(x + 3)(x - 6)

Therefore, a polynomial with the given zeros (-3, 0, 6) and degree 3, with integer coefficients and a leading coefficient of 3, is:

3x(x + 3)(x - 6).

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Answer:

2826 ft

Step-by-step explanation:

area of a circle equals \(\pi r^{2}\) so first we square the radius.

\(30^{2}\) =900

Now use 3.14 as pi

\(900*3.14= 2826\)

If the diameter of the reserve tank is 30.51 cm, the shortest height the reserve tank should be is 0 cm.

How to find?

The shortest height of the reserve tank can be determined using the formula for the volume of a cylinder.

The formula for the volume of a cylinder is \(V = π * r^2 * h\),

Where V is the volume, π is a constant approximately equal to 3.14159, r is the radius, and h is the height.

To find the shortest height, we need to find the maximum volume of the tank. Since the diameter is given as 30.51 cm, we can calculate the radius by dividing the diameter by 2.

radius = diameter / 2

= 30.51 cm / 2

= 15.255 cm

Substituting the values into the volume formula, we get:

\(V = π * (15.255 cm)^2 * h\)

To find the maximum volume, we need to maximize the height. Since we want the shortest height, we want to minimize the volume. Therefore, we set the volume equal to zero:

\(0 = π * (15.255 cm)^2 * h\)

Solving for h:

\(h = 0 / [π * (15.255 cm)^2]\)

h = 0 cm

Therefore, the shortest height the reserve tank should be is 0 cm.

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The shortest height for the reserve tank is approximately 0.0184 cm (rounded to four decimal places).

To determine the shortest height of the reserve tank, we need to use the formula for the volume of a cylinder, which is V = \(\pi r^2h\), where V represents the volume, π is a constant approximately equal to 3.14159, r is the radius, and h is the height of the cylinder.
Given that the diameter of the reserve tank is 30.51 cm, we can calculate the radius by dividing the diameter by 2. Thus, the radius (r) is 30.51 cm / 2 = 15.255 cm.

To find the shortest height, we need to consider that the volume of the reserve tank should be non-zero. Therefore, we'll assume the minimum value for the height is 0.0001 cm.
Now, we can substitute the values into the formula and solve for the volume:
V = \(\pi r^2h\)
V = 3.14159 * (15.255 cm)^2 * 0.0001 cm
V ≈ 0.018411 \(cm^3\) (rounded to six decimal places)

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Answer:

  D(-7, -5)

Step-by-step explanation:

There are a couple of ways to figure this.

1) When the rectangle is aligned with the axes, as this one is, each coordinate value shows up twice. In the given list, x-values of 3 are repeated, but -7 is not, so the x-coordinate is -7.

The y-values of -2 are repeated, but -5 is not, so the y-coordinate is -5.

The coordinates of point D are (-7, -5).

__

2) The midpoint of diagonal AC is the same as the midpoint of diagonal BD, so the sum of coordinates at the ends of the diagonals will be the same:

  A+C = B+D

Subtracting the coordinates of B from the sum of A and C will give you the coordinates of D:

  D = A +C -B = (-7, -2) +(3, -5) -(3, -2) = (-7+3-3, -2-5+2)

  D = (-7, -5)

_____

Comment on the solution

The second approach works with any parallelogram, rhombus, rectangle, or square--any figure in which the diagonals bisect each other. The figure does not have to be aligned with the axes, as it does in the first approach.

Answer:

59

Step-by-step explanation:

i hope this halp

Answer:

Step-by-step explanation:

-0.5

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

The population of mice is initially 25,000 and is decreasing at a rate of 25% per year. To determine the population after t years, we can use an exponential decay model by multiplying the initial population by the decay factor raised to the power of the number of years.

The decay factor represents the percentage decrease per year. In this case, the decay factor is 1 - 0.25 = 0.75, which accounts for the 25% decrease each year. The expression for the population after t years can be written as P(t) = 25,000 * (0.75)^t, where P(t) represents the population after t years.

For example, after 1 year, the population would be P(1) = 25,000 * (0.75)^1 = 18,750. After 2 years, the population would be P(2) = 25,000 * (0.75)^2 = 14,063, and so on. By plugging in different values for t, we can calculate the population at different points in time based on the given rate of decrease.

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Answer:

8

Step-by-step explanation:

Answer:

\(\mathrm{D)\:}9.4\: \mathrm{units}\)

Step-by-step explanation:

Solution 1:

Notice the \(x\) coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between \(4.7\) and \(-4.7\) is \(|4.7-4.7|=\fbox{$9.4$}\).

Solution 2:

The distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Plugging in given values, we have:

\(d=\sqrt{(-2.6-(-2.6))^2+(4.7-(-4.7))^2},\\d=\fbox{$9.4$}\).

Answer:

और किसने lil nas x रोबोक्स कॉन्सर्ट को हिट किया?

Step-by-step explanation:

Answer:

1) The problem asks for the number of boxes than can be made from the yarn.

2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) We need to divide the total length of yarn by the length used to produce a box.

4) 20 boxes.

5) Gina can make 20 boxes from 90 meters of yarn.

Step-by-step explanation:

1) What is asked?

R/ The problem asks for the number of boxes than can be made from the yarn.

2) What are the given facts?

R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) What is the operation to be used?

R/ We need to divide the total length of yarn by the length used to produce a box.

\(x = \frac{90\,m}{\frac{9}{2}\,m }\)

\(x = 20\)

4) What is the number sentence?

R/ 20 boxes.

5) What is the complete answer?

R/ Gina can make 20 boxes from 90 meters of yarn.

The thing that happens if we add, subtract or multiply triangular matrices is:

If we multiply two upper triangular, it will result in an upper triangular matrix itself. The inverse of the upper triangular matrix remains upper triangular.

This refers to a special kind of square matrix where all the entries above the main diagonal are zero.

Thus, if you multiply two upper triangular, it will result in an upper triangular matrix itself. The inverse of the upper triangular matrix remains upper triangular.

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The Option C is correct that Negative 3 less-than x less-than-or-equal-to 2 by solving inequality using an algebraic expression.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. The left half, 5x 4, is larger than the right half, 2x + 3, as evidenced by this.

To solve the inequality, we need to isolate the variable, x, in the middle of the inequality.

Starting with:

-4 < 3x + 5 ≤ 11

Taking out 5 from each component of the inequality:

-4 - 5 < 3x + 5 - 5 ≤ 11 - 5

Simplifying:

-9 < 3x ≤ 6

Dividing by 3 (and remembering to reverse the direction of the inequality if we divide by a negative number):

-3 < x ≤ 2

Therefore, the solution to the inequality is:

-3 < x ≤ 2

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The Option C is correct that Negative 3 less-than x less-than-or-equal-to 2 by solving inequality using an algebraic expression.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. The left half, 5x 4, is larger than the right half, 2x + 3, as evidenced by this.

To solve the inequality, we need to isolate the variable, x, in the middle of the inequality.

Starting with:

-4 < 3x + 5 ≤ 11

Taking out 5 from each component of the inequality:

-4 - 5 < 3x + 5 - 5 ≤ 11 - 5

Simplifying:

-9 < 3x ≤ 6

Dividing by 3 (and remembering to reverse the direction of the inequality if we divide by a negative number):

-3 < x ≤ 2

Therefore, the solution to the inequality is:

-3 < x ≤ 2

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The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

A pie in maths have a degree of 360 degrees

Answer:

9x8=72

9x5=45 9x3=27 45+27=72

the answer is 20 hope it helped :)

Answer:

rectangular pyramid

Step-by-step explanation:

Ive had a question like that and i put that and got it right and because it makes the nost sense because its squares and they are going up if you get it

Answer:

cheapt

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

In the game of survival between individuals in nature, indicating in any way that tossing in the towel is being seriously considered can be exploited by an adversary.

This statement highlights the significance of staying strong, motivated, and focused in times of adversity.

When we say 'tossing in the towel,' we imply that we are giving up or losing hope in a particular circumstance. In the game of survival in nature, we may face a variety of difficulties and adversaries, and losing hope may make us vulnerable to further exploitation by our adversaries.

Thus, the statement emphasizes the importance of remaining motivated, determined, and not revealing our vulnerabilities to our adversaries, as doing so may lead to additional difficulties and challenges.

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Answer:

my answer got deleted ???????

Step-by-step explanation:

THe P(A and B) = 0.1 where P(A) is the probability of a player playing defense and P(B) is the probability of a player being born in Canada

The probability that a player chosen at random plays defense and was born in Canada can be calculated using the formula P(A and B) = P(A) * P(B|A), where P(A) is the probability of a player playing defense, P(B) is the probability of a player being born in Canada, and P(B|A) is the probability of a player being born in Canada given that they play defense.

To find the probability, we would need to know the total number of players, the number of players who play defense, and the number of players who were born in Canada.

For example, if there are 100 players, 50 of whom play defense and 20 of whom were born in Canada, the probability would be:

P(A) = 50/100 = 0.5
P(B) = 20/100 = 0.2
P(B|A) = 10/50 = 0.2

P(A and B) = P(A) * P(B|A) = 0.5 * 0.2 = 0.1

So the probability that a player chosen at random plays defense and was born in Canada would be 0.1, or 10%.

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Answer:

x = 50

y= 40

Step-by-step explanation:

Step-by-step explanation:

\(\sf\green{x = 45° (diagonals \: \: of \: \: rectangle \: \: bisect \: \: eachother)}

\sf\green{y = 45° (diagonals \: \: of \: \: rectangle \: \: bisect \: \: eachother)}\)

Answer:

Henry is correct

Step-by-step explanation:

add 4 to each sides of the equation

2x=16

Divide each side of the equation by 2

X=8

2x - 4 = 12

add 4 to both sides:

2x - 4 + 4 = 12 + 4

2x = 16

divide both sides by 2:

2x/2 = 16/2

x = 8

so Henry is correct.