Tell whether the number belongs to each of the following number sets
12/3

Answer:

C. 13/35

Step-by-step explanation:

Step 1: Write expression

4/5 - 3/7

Step 2: Find common denominator

5(7) = 35

7/7(4/5) - 5/5(3/7)

28/35 - 15/35

13/35

Answer:

K is the midpoint of JL.

I hope this helps:)

Answer:

true

Step-by-step explanation:

figure B is figure A but 3 times the size.

Answer:

The answer is B.

Step-by-step explanation:

You have to apply the area of triangle formula :

\(area = \frac{1}{2} \times base \times height\)

\(let \: base = 22 \\ let \: height = 3\)

\(area = \frac{1}{2} \times 22 \times 3\)

\(area = 11 \times 3\)

\(area = 33 \: {units}^{2} \)

Answer:

120

Step-by-step explanation:

Add angle ABC and angle CBD together.

Answer: $271.15

Step-by-step explanation:

$5.80 × 40 = 232

Time and a half = $8.70  

Overtime is 4.5 hours

$8.70 × 4.5 = 39.15

$232 + 39.15 = 271.15

Answer:

  (c)  (111; 161°)

Step-by-step explanation:

The given vector (u) is a 4th-quadrant vector with a magnitude just over 35 units. A vector 3 times that length in the opposite direction (-3u) will be one with a magnitude close to 111 in the 2nd-quadrant.

  (111; 161°)

Answer:

21%

Step-by-step explanation:

The sum of the 13% who play football and the 8% who play golf would be 21%

.13 + .08 = .21

Answer: 42.12π in²

Step-by-step explanation:

In order to find the surface area, you must add the area of both base circles to the area of the curved plane.

To find the combined area of the circles, use the formula πr², or 2.6²π, or 6.76π (2.6 being the radius as derived from the diameter of 5.2 divided by 2), and multiply the result by 2 (6.76π × 2 = 13.52π)

To find the area of the curved plane, take the circumference of the base and multiply by the height of the cylinder. Use πd, or 5.2π, as the circumference. Multiply this value by 5.5 to obtain the area of the rectangle (5.5 × 5.2π = 28.6π).

Adding the area of the circles and the curved plane together (13.52π + 28.6π) gives us 42.12π, the surface area in in².

Answer:

5x-(-4x-6) = 10

Step-by-step explanation:

Given the expression

y=−4x−6 ..... 1

5x−y=10... 2

To get the required equation we will substitute equation 1 into 2

5x-y = 10

5x-(-4x-6) = 10

5x+4x+6 = 10

9x+6 = 10

9x = 4

x = 4/9the required equation is 5x-(-4x-6) = 10

Answer:

5x - (-4x - 6) = 6

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

so A. is the correct answer

Step-by-step explanation:

If Kale is at 2345 feet and needs to reach 3283, he will need to travel another 938 feet.

Angle 1 = A

Angle 2 = B

They are supplementary, that means that they add 180 degrees, then: A + B = 180

One angle measures 12 degrees less than 3 times the other, tahn means: A - 12 = 3B

Equation 1: A + B = 180

Equation 2: A - 12 = 3B

Solving for A in equation 1:

A + B = 180

A = 180 - B

Using this value into equation 2, and solving for B:

A - 12 = 3B

(180 - B) - 12 = 3B

180 - B - 12 = 3B

168 = 3B + B = 4B

4B = 168

B = 168/4 = 42

B = 42

Using the expression we found for A:

A = 180 - B = 180 - 42 = 138

A = 138

Answer

42 degrees and 138 degrees

The expressions are given as;

1. The factored form of g(x) is g(x) = 1/(x-6)

2. The LCD of g(x) and h(x) is (x-6)(x+8)

3. The LCD of h() and p(x) is (x-6)(8x + 32)

Functions are simply defined as laws, equations or rules showing the relationship between two variables.

These variables are termed;

From the information given, we have that;

g(x) = (x + 8)/x² + 2x - 48

Factorize the denominator of the function;

x²+ 8x - 6x - 48

group in pairs

x(x + 8) - 6(x + 8)

Then,

g(x) = x + 8/(x-6)(x+ 8)

g(x) = 1/(x-6)

The lowest common denominator of the functions g(x) and h(x) is;

g(x) = x + 8/(x-6)(x+ 8)

h(x) = 6x - 36/x-6

LCD = (x-6)(x+8)

The LCD of h(x) and p(x) is given as;

p(x) = x² - x - 20/8x + 32

= (x-6)(8x + 32)

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Step-by-step explanation: 404 = 4.04 x 10 x 10

404=4.04 x 10^2

Answer:

33x12.50R15)

Step-by-step explanation:

Answer:

It is increasing.

Step-by-step explanation:

Given the graph of a straight line, there are several ways to find its equation.

Method 1: This method works only if the y intercept is visible.

Find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Get b from inspection of the y intercept of the graph.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 2: This method works even if the y intercept is not visible.

As in method 1, find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Substitute the number that you obtained for m into the equation y = m x + b. Also, take one of the points, say (x1, y1), and substitute its coordinates into the equation. This gives:

y1 = m x1 + b

It may not look like it, but this equation has only one variable, b, and you can easily solve for it.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 3: This method has the advantage that it uses only algebra, not geometry, and can be applied to any type of function, not just the straight line:

Find two points, (x1, y1) and (x2, y2), that are on the line. Take the first point, (x1, y1), and substitute it into the straight line equation, y = m x + b. This gives:

y1 = m x1 + b

Similarly, take the second point, (x2, y2), and substitute it into the straight line equation, y = m x + b. This gives:

y2 = m x2 + b

Together, these two equations constitute a system of two equations in the two unknowns, m and b. We can solve them for m and b using the elimination method. To be specific, if we subtract the first equation from the second, then b is eliminated and we get the equation:

y2 − y1 = m x2 − m x1,

which, when solved for m, gives the same equation as in the other two methods, namely:

Find b by back-substitution. To be specific, substitute the number that you obtained for m into one equation of the system of equations, say into y1 = m x1 + b. It may not look like it, but this equation has only one variable, b, and you can easily solve for it

Answer:   Increasing

Step-by-step explanation:

There are 15 different 2-member committees that can be formed from the 6 members of the high school student council as per combination.

In mathematics, a combination is a way of selecting objects from a larger group without considering the order in which they are chosen. A combination is also known as a binomial coefficient or a choose function, and is denoted by the symbol "n choose k", where n is the total number of objects and k is the number of objects to be selected.

In mathematics, a permutation is an arrangement of objects in a specific order. The number of possible permutations of a set of n distinct objects is given by n!, which is the product of all positive integers up to n.

The number of different 2-member committees that can be formed from a group of 6 members is given by the combination formula:

C(6, 2) = 6! / (2! * (6 - 2)!) = 15

where C(n, r) represents the number of combinations of r items that can be selected from a group of n items.

Therefore, there are 15 different 2-member committees that can be formed from the 6 members of the high school student council to attend the rally in Washington D.C.

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By applying standard deviation concept, it can be concluded that all the students had the same score.

The mean is the average of all the scores. It is calculated by adding up all the scores and dividing them by the number of scores.

The standard deviation is a measure of how spread out the scores are. It is calculated by finding the difference between each score and the mean, squaring those differences, finding the average of those squared differences, and then taking the square root of that average.

If all the scores are the same, then the difference between each score and the mean will be 0. This means that the standard deviation will also be 0. Therefore, the correct answer is "all the students had the same score."

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It has been computed that the value of the subtraction of 827 - 914 in this situation will be -87.

Your information isn't given as the options aren't provided. Therefore, an overview of how to do the subtraction will be given.

From the information given, Lara wants to find 827−914. It should be noted that in this case, she simply has to deduct the value from each other and this will be -87.

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Answer:

6.2

Step-by-step explanation:

I used my calculator.

Answer: - 8/5

Step-by-step explanation:

M1*M2=-1

Substuting M1 as 5/8

We get

5/8*M2=-1

M2=-8/5

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

The length οf οne side οf the cube is 4 cm.

In geοmetry, a cube is a three-dimensiοnal sοlid shape that has six square faces οf equal size, and all its angles are right angles (90 degrees). A cube is a regular pοlyhedrοn, which means that all its faces are cοngruent (i.e., identical) regular pοlygοns and its edges have the same length.

The surface area οf a cube with edge length "s" is given by the fοrmula:

\(SA = 6s^{2}\)

We are given that the surface area οf the cube is \(96 cm^2\). Therefοre, we can set up the equatiοn:

\(96 = 6s^{2}\)

Dividing bοth sides by 6, we get:

\(16 = s^{2}\)

Taking the square rοοt οf bοth sides, we get:

s = 4

Therefοre, the length οf οne side οf the cube is 4 cm.

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Answer:

8

Step-by-step explanation:

if one tree equals 700 bags, then you would divide the amount of bags that were used, 5600, by 700 to get answer. 5600 divided by 700 = 8

Answer:

p=4

Step-by-step explanation:

because 5 is less than or equal to four!

another number grater than five no less than

so the answer is p=4

Answer:

20

Step-by-step explanation:

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

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