Determine whether the relation is a function.

Answer:

The probability that the chosen song is not a classical song is 92.4%.

Step-by-step explanation:

Given that Suki has 54 rock songs, 92 dance songs and 12 classical songs on her playlist, to determine what is the probability that the chosen song will not be a classical song, the following calculation must be performed:

54 + 92 + 12 = 158

158 - 12 = 146

158 = 100

146 = X

146 x 100/158 = X

14600/158 = X

92.4 = X

Therefore, the probability that the chosen song is not a classical song is 92.4%.

Answer:

92.4

Step-by-step explanation:

Answer: C. 20

Step-by-step explanation:

1 inch is equal to 2.54 cm.

So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.

50.8 ÷ 2.54 = 20

Hope this helps!!! :)

The requried, Mark will have paid a total of $34,389.55 after 5 years. The answer is option E, $34,389.55.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

We can use the formula for compound interest to find the total amount Mark will have paid after 5 years:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

where A is the total amount paid, P is the principal (the original loan amount), r is the annual interest rate (as a decimal), n is the number of times per year the interest is compounded, and t is the time in years.

In this case, we have:

P = $25,690

r = 0.052 (5.2% expressed as a decimal)

n = 12 (compounded monthly)

t = 5

Substituting these values into the formula, we get:

[tex]A = $25,690(1 + 0.052/12)^{(12*5)}[/tex]

A = $34,389.55

Therefore, Mark will have paid a total of $34,389.55 after 5 years. The answer is closest to option E, $34,389.55.

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Answer:

9 + y > 28

Step-by-step explanation:

Answer:

9 + y ≤ 27

Hope this helps!

if you need to know the y value, then y ≤ 18

Hope this helps!

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (2,1) and (4,5)

[tex]m=\frac{5-1}{4-2}\\m=\frac{4}{2}\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] :

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and isolate b

[tex]1=2(2)+b\\1=4+b[/tex]

Subtract both sides by 4

[tex]1-4=4+b-4\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this into [tex]y=2x+b[/tex]:

[tex]y=2x-3[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

Slope formula:

[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}[/tex]

y2=5

y1=1

x2=4

x1=2

Solve.

5-1/4-2

Subtract.

5-1=4

4-2=2

Divide.

4/2=2

The slope is 2.

You have to solve with slope-intercept form.

[tex]\sf{y=mx+b}[/tex]

m represents the slope.

b represents the y-intercept.

y-intercept is -3.

[tex]\sf{\boxed{y=2x-3}[/tex]

So, the correct answer is y=2x-3.

Answer:

2

Step-by-step explanation:

Count how many edges use that vertex as an endpoint. In this case B and E.

The answer of given parabola question is 6.125ft.

a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.

x² = 4py

x=radius which can be found by dividing d=14ft by half

x = d/2 = 11/2 = 7ft

y=2ft is the depth

p is the vertex of the parabola

p = x²/4y

p = 7²/4×2

p=6.125ft

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On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter

here,

D= 1

r = 1/2 = .5

A = 40

T = 40/10 4 hrs.

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Answer:

B

Step-by-step explanation:

The sum of the angle 1, 2 and 3 is 180 degrees , so B is the correct answer, because 70 + 110 = 180

Answer:

b

Step-by-step explanation:

Answer:

#1

#2

#3

#4

#5

It's not clear what is shaded. Giving all options

1. Rectangle in the middle:

2. Two semicircles:

3. Total area:

Answer:

1072.33 cm^3

Step-by-step explanation:

formula

(2/3)*pi*(r)^3

Answer:

32

Step-by-step explanation:

The number to the right of the decimal is higher than 5, meaning you would round up.

Answer:

an angle with 90 degree is a right angle

Answer:

34

Step-by-step explanation:

add 4 each time

Answer:

34

Step-by-step explanation:

It is in a sequence.

Continue by adding 4 each time

Answer:

write 4/27 as the product of a prime raised to a power

Answer: 5/13

Step-by-step explanation:

36 possible outcomes

the highest the sum can be is 12

so 8, 9, 10, 11, and 12 are all options

2+6, 4+4, 3+5, 5+3, 6+2 - for 8

3+6, 4+5, 5+4, 6+3 - for 9

4+6, 5+5, 6+4 - for 10

5+6, 6+5 - for 11

6+6 - for 12

total - 15/36 or 5/13

Answer:

So there are 60 minutes in an hour, and since there are 24 hours in a day you will multiply 60 by 24:

60 * 24 = 1440.

That multiplied by 1.5 is 2160, so that would be your answer.

Step-by-step explanation:

Hope it helps! =D

Answer:

x = −2.4, 1.4, 3.9

Step-by-step explanation:

i literally just took the test so ik for sure its right:)

The statements in if-then form are given as follows:

If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.

If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.

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Answer:

9. 6.6

10. 6

11. 8.9

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2 where a and b are legs, and c is the hypotenuse (the longest side of the triangle).

For the first one, you're given the leg (3.1 in) and the eg (5.8 in), so you can substitute those into the equation:

a^2 + b^2 = c^2

(3.1)^2 + (5.8)^2 = c^2

Then simplify

9.61 + 33.64 = c^2

43.25 = c^2

To isolate c, take the square root of both sides.

The square root of 43.25 is 6.57647322, but they want you to round it to the nearest tenth, so round it to 6.6

For the second one, you're given one leg length and the hypotenuse.

8^2 + b^2 = 10^2

64 + b^2 = 100

To solve for b, subtract 64 from both sides

b^2 = 36

and take the square root of both sides

b = 6

For the last one, you're given a leg length and the hypotenuse

a^2 + 4.3^2 = 9.9^2

a^2 + 18.49 = 98.01

to isolate a, subtract 18.49 from both sides

a^2 = 79.52

then take the square root of both sides

a = 8.91739872 which rounds to 8.9

Answer:

I hope this helps. Do let me know if you have any doubts and wish me luck I have my maths exams tomorrow!

Answer: Let x be the amount of Jane's paycheck.

We know that:

surfboard cost = $289

and jane used $68 more than two fifths of her last paycheck to purchase a new surfboard.

So we can set an equation as:

surfboard cost = 2/5 x + $68

289 = 2/5 x + 68

Now we can substitute the known value in the above equation:

289 = 2/5 x + 68

221 = 2/5 x

x = (2215) / 2 = 115 = 55

So the amount of her paycheck is $55.

Therefore, jane's last paycheck was $55.

Step-by-step explanation:

-560° in radian is -28π/9 radian and the positive and negative coterminals are 8π/9 and -10π/9 respectively.

170° in radian is  17π/18 radian and the positive and negative coterminals are 53π/18 and -19π/18 respectively

An angle can be converted from degree to radian by multiplying it by π/180.

1. -560°

-560° × π/180 = -28π/9 radian

2. 170°

170° × π/180 = 17π/18 radian

In general, if θ is any angle in radian, then θ + n(2π) is coterminal angle with θ, for all nonzero integer n.

coterminal of -28π/9:

positive: -28π/9 =  -28π/9 + 2(2π) = 8π/9

negative: -28π/9 =  -28π/9 + 2π = -10π/9

coterminal of 17π/18:

positive: 17π/18 =  17π/18 + 2π = 53π/18

negative: 17π/18 =  17π/18 - 2π = -19π/18

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Answer:

10

2

Step-by-step explanation:

if x=0 => y = 2(0)+10= 10

y = mx + c

m = slope factor

=> y = 2x + 10

so, slope factor = 2

On solving the provided question, we can say that - the value of the function is = x-5/x + 2 => x= 2  => -3/4

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

x-5/x + 2

x= 2

-3/4

ans also  4x² = 4 *2*2 = 16

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Answer:

D

Step-by-step explanation:

Divide and multiply

:)

Answer:

it d

Step-by-step explanation:

Answer:

its the third one (6-2) x 5

Step-by-step explanation:

(6-2) × 5

Step-by-step explanation:

It's for 5 TIMES the DIFFERENCE of 6 and 2. I hope this helps, have a good day!

Answer:

14

Step-by-step explanation: add all the x's and you get 14 that show's how many apples her clients ate last week

Answer:

A and B

Step-by-step explanation:

x2 + 2x − 15

A) x2 + x − 8 + x − 7

B) (x − 3)(x + 5)