What is the probability that a student chosen randomly from the class does not have a cat

Answer:

2(4 + 3i) / 5

Step-by-step explanation:

(6 + 2i) (3 + i) / (3 - i) (3 + i)

=> 18 + 12i + 2i² / 9 - i²

=> 16 + 12i / 10

=> 8 + 6i / 5

=> 2(4 + 3i) / 5

Answer:

(6 +2i) / (3-i) = (6+2i)/(3-i) x (3+i)/(3+i) = (6+2i)(3+i) / (3-i)(3+i) = 6(3+i)+2i(3+i) / (3)^2-(i)^2 = 18+6i+6i+2i^2 / 9-i^2 = 18+12i+2i^2 / 9-i^2 = 6+12i+2i^2 / 3-i^2 = 2+12i+2i^2 / 1-i^2 = 2+12i+2 / 1 = 4+12ianswer.

The calculated value of x in the circle is 15

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

The circle and the tangent lines

The sum of angles on the circumference of a circle is 360 degrees

So, the value of x can be calculated using

17x + (180 - 75) = 360

When evaluated, we have

17x = 255

Divide both sides by 17

x = 15

Hence, the value of x is 15

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Answer:

36°

Step-by-step explanation:

By remote interior angle theorem:

b + 81° = 117°

b = 117° - 81°

b = 36°

Answer:

3a)1680

b)2620

4a)2130

b)13300

c)460

d)7540

Step-by-step explanation:

3a)1500+180

b)2800-170

4a)1800+330

b)7300+6000

c)670-210

d)8000-460

Answer:

a) 1600

b) 2600

c) 2200

d) 13200

e) 500

Step-by-step explanation:

a) 1463 + 179

1400 + 200

1600

b) 2806 - 176

2800 - 200

2600

c) 1831 + 329

1900 + 300

2200

d) 7345 + 5893

7300 + 5900

13200

e) 665 - 213

700 - 200

500

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Answer: \(9\ ft/rad\)

Step-by-step explanation:

Given

Length of the ladder is \(l=18\ ft\)

Angle between the wall and the ladder is \(\theta\)

from the figure, we can write

\(\Rightarrow \sin \theta=\dfrac{x}{18}\\\\\Rightarrow x=18\sin \theta\)

Differentiate the above equation w.r.t \(\theta\)

\(\Rightarrow \dfrac{dx}{d\theta}=18\cos \theta\\\\\text{at }\theta=\dfrac{\pi }{3}\\\\\Rightarrow \dfrac{dx}{d\theta}=18\cos(\dfrac{\pi}{3})\\\\\Rightarrow \dfrac{dx}{d\theta}=18\times 0.5\\\\\Rightarrow \dfrac{dx}{d\theta}=9\ ft/rad\)

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Michelle was paid for that month is $ 4021.625

A linear equation is an algebraic equation of the form y=mx+b. regarding only a regular and a first-order (linear) time period, in which m is the slope and b is the y-intercept. on occasion, the above is called a "linear equation of two variables," where y and x are the variables.

Calculation:-

Percentage of commission = 10.5%

per week paid = $495.50

a. Equation of Michelle paid = 10.5/100X + 495.50

b. The total value of the kayaks she sold was $19 425.

  Michelle was paid for that month = 19 425 × 10.5/100 + 4 × 495.50

                                                          = 2039.625 + 1982

                                                          = $ 4021.625

A linear equation bureaucracy is an immediate line on a graph. A nonlinear equation paperwork an S-curve, bell curve, or any other nonlinear form on a graph. experts in mathematics and physics view linear equations as simple. specialists in mathematics and physics view nonlinear equations as complex.

A linear equation in a single variable is an equation wherein there is handiest one variable present. it is of the form Ax + B = 0, wherein A and B are any real numbers and x is an unknown variable that has the handiest one answer. for instance, 9x + 78 = 18 is a linear equation in one variable.

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The situations that can be simulated using this spinner are:

It should be noted that the spinner comprises 6 identically sized parts.

If you want to use a 6-section spinner to simulate a situation, the numbers involved should be either a multiple or a divisor of 6, or a number less than 6. This will enable you to effectively utilize the spinner.

Option A uses 1 of 3, Option B uses 8 of 12, and Option E uses 2 of 4.

Therefore, the answers are A, C and E.

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Answer:

54

Step-by-step explanation:

9(0.5)(12)

54

Answer:

54

Step-by-step explanation:

Area of a triangle is (base*height)/2

9*12=108

108/2=54

√10 · √6 = √(10 · 6) =

= √60 = √(4 · 15) = √(2² · 15) = 2√15

Answer:

You need to know the conversion between the different units

1 ml is equivalent to 0.001 litres

so therefore, 40,000 litres would be 40 litres

Answer:

b < -30

Step-by-step explanation:

27 > B + 57   Subtract 57 from both sides

27 - 57 > b +57 - 57

-30 > b

or

b < -30

The three statistical questions are: A. How many hours of sleep per night do students usually get when they have school the next day? B and E.

A statistical question is one that may be resolved via the collection and examination of data. The question frequently incorporates a variable that might differ from person to person or scenario to situation, and the solution is not always the same. The words "how many," "what is the average," "what is the range," "what is the distribution," etc. are frequently used in statistical queries.

The three statistical questions are:

How many hours of sleep per night do students usually get when they have school the next day?

What are the heart rates of the students in Mr. Peterson's physical education class?

How many runs did the New York Yankees score in their last game?

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Answer:

r = 90/30

r = 3

T12 = 10 × 3¹¹

T12 = 1771470

Answer:

T=45-5H

Step-by-step explanation:

The area of the shaded which is obtained using the composite figure formed the shaded region and the area under the curve of the specified function is; (2·π - 3·√3)/2 square units

A composite figure is one that is composed of two or more simpler figures.

The area can be considered of comprising of a composite figure of the area under the curve of the function and the area of the shaded region

The function representing the curve under the shaded region can be presented as follows;

y = 3·cos(x) + 1

The interval specified under the curve can be expressed as follows;

0 ≤ x ≤ π/3

Therefore, the area under the curve can be found as follows;

\(\int\limits^\frac{\pi}{3} _3 {3\cdot cos(x) + 1} \, dx = [3\cdot sin(x) + x]^{\frac{\pi}{3} }_0 = 3\cdot sin(\frac{\pi}{3} ) + \frac{\pi}{3} - 0 = 3\cdot sin(\frac{\pi}{3} ) + \frac{\pi}{3}\)

sin(π/3) = (√3)/2

Therefore; 3·sin(π/3) + π/3 = 3·(√3)/2 + π/3 = (2·π + 9·√3)/6

The area of the rectangle = (4 - 0) × (π/3 - 0) = 4·π/3

The area of the shaded region = Area of the rectangle - Area under the curve of the specified function

Therefore, area of the shaded region = 4·π/3 - (2·π + 9·√3)/6 = (2·π - 3·√3)/2

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Rawr!~ Allow me to help you today!

Answer:

\(V=\frac{2}{5}\) cubic units!

Step-by-step explanation:

Step 1: Draw the carton (Carton is in the image)

Step 2: Calculate the volume V

\(V=LWH\)

\(V=\frac{8}{3}\) × \(\frac{1}{8}\) ×\(\frac{6}{5}\)

\(V=\frac{2}{5}\) cubic units

I hope this helps you! <3

AshTheNeko

Answer:

a) y>-4

Step-by-step explanation:

Isolate the variable.

Hope this helps. Plz give brainliest.

Answer:

Option D - bottles of orange juice produced in the plant on june 12

Step-by-step explanation:

The population describes the data from which the sample size is gotten.

Now, we are told that A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.

This means that the sample size is 40 bottles. The population from which this sample is gotten is therefore:

bottles of orange juice that were filled on june 12.

Option D is correct

The value of the x for the equation y = 3 / x + 5 - 16 / z - 1 is x = 3z / (16 - 4z)

What is an algebraic expression?

An algebraic expression is a sequence or a combination of characters which may contain numbers, symbols, operators and operands which is used in the subject algebra that is a part in the mathematical domain.

Why are algebraic expressions important?

Algebraic expressions are important because it can break down a problem and can stimulate our mind to focus on the main key elements for a problem which can be used as variables that may or may not contain a value(s). It makes the problem simpler and can derive a precise solution for all possible valid test cases for that particular solution.

The solution for each problem is unique but we can relate them with the help of algebra. There are other ways to relate problem too but algebra is the backbone for every ambiguous or known problem that can we changed for a large number or for a combination of large number of values.

When we equate an algebraic equation to a value or to some RHS terms we call it an algebraic equation.

An algebraic equation can have no, one or multiple values or solutions.

Given:   y = 3 / x + 5 - 16 / z - 1, solve for x when y = 0

Putting y = 0, we get:

0 = 3 / x + 5 - 16 / z - 1

Now, adding 16 / z on both sides

0 + 16 / z =  3 / x + 5 - 16 / z - 1 + 16 / z

=> 16 / z = 3 / x + 5 - 1

=> 16 / z = 3 / x + 4

Multiplying z on both sides

16 / z × z = z × (3 / x + 4)

=> 16 = 3z / x + 4z

Adding (-4z) on both sides

16 + (-4z) = 3z / x + 4z + (-4z)

16 - 4z = 3z / x

Multiplying 1 / (16 - 4z) on both sides

(16 - 4z) × 1 / (16 - 4z) = (3z / x) × 1 / (16 - 4z)

1 = 3z / x(16 - 4z)

Multiplying x on both sides

1 × x = 3z / x(16 - 4z) × x

x = 3z / (16 - 4z)

Therefore the answer is x = 3z / (16 - 4z)

The value of the x for the equation y = 3 / x + 5 - 16 / z - 1 is x = 3z / (16 - 4z)

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The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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Answer:

when someone is pretending to be you and like using your credit card or other form of like identity

Step-by-step explanation:

Answer:

Ryan: (100/13)(1/1,609.34)(3,600) =

17.21 miles per hour

Ryan is faster than Juan, by about 2.21 miles per hour

Answer: 85

Step-by-step explanation:

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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