(3,4) in function notation

The ratio comparing students enrolled in a math course to students enrolled in a history course will be; 0.709

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b. Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Given that there are 370 students enrolled in a math course and 488 students enrolled in a history course.

The ratio of p to q can be written as p/q .

Now, The ratio comparing students enrolled in a math course to students enrolled in a history course wil; be;

370/488

we can simplify it to 185:244

or 185/244

Hence, The ratio comparing students enrolled in a math course to students enrolled in a history course will be; 0.709

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Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3,  so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

Angle θ in radians is 12/5 or 2.4 radians.

Define Arc Length

Arc length is more accurately described as the length along the perimeter of any circle or curve (arc). The arc length is the measurement of any distance along the curved path that forms the arc. Arc refers to a segment of a curve or the circumference of a circle. Each of them is shaped like a curve. An arc's length is more than the distance in a straight line between its endpoints (a chord).

Given,

radius = 5 cm

length of arc = 12 cm

We know that,

θ = length of arc / radius

Now, plug in the values

θ = 12 / 5 or 2.4 radians

Hence,angle θ in radians is 12/5 or 2.4 radians.

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Answer: 2.4

Step-by-step explanation:

radius = 5 cm

length of arc = 12 cm

θ = length of arc / radius

θ = 12 / 5 or 2.4 radians

2.4 radians

Answer:

The square root of 8 in radical form is represented as √8 which is also equal to 2√2 and as a fraction, it is equal to 2.828 approximately.

.72 radians is the answer.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

The relation of the arc length of a circle subtended by an angle to the radius of the circle is the definition of an angle in radians.

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Answer:

Basically, LON would be 8z + 112 + 6z - 17

So, our equation will look like this

8z + 112 + 6z - 17 = -1z + 65

Subtract the 6z from the 8z

2z + 112 - 17 = -1z + 65

112 - 17 = 95

2z + 95 = -1z + 65

add the 1z

3z + 95 = 65

subtract the 95

-30

3z = -30

The answer is -10 :)

Step-by-step explanation:

Answer:

LON=75

Step-by-step explanation:

LON= LOM=NOM

-1z+65=8z+112-6z-17

-1z+65=2z+95

3z=-30

z=-10

LON= -1z+65

       = -1(-10)+65

       = 10+65

LON= 75

Answer:

12-2 is 10

Step-by-step explanation:

The length of the sides of the squares is 3 cm.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the dimension of the rectangular tin piece is 40 cm by 50 cm.

Let the length of the sides of the square is x.

Then, the dimensions of the resulting rectangular base are (40 - 2x) by

(50 -2x).

Given that, the area of the resulting base is 1496 square cm.

Therefore, it follows:

(40 - 2x)(50 -2x) = 1496

2000 - 80x -100x + 4x² = 1496

4x² - 180x + 2000 -1496 = 0

4x² - 180x + 504 = 0

x² - 45x + 126 = 0

x² - 42x - 3x + 126 = 0

x(x- 42) - 3(x - 42) = 0

(x - 3)(x - 42) = 0

x-3 =0 or x - 42 = 0

x = 3 or x = 42

Note that the dimension of the rectangular tin piece is 40 cm by 50 cm, therefore, x = 42 cm cannot be the length of the square.

Hence, the length of the sides of the squares is 3 cm.

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Answer:

40

Step-by-step explanation:

10% of 300 = 300/10 = 30

50% of 20 = 20/2 = 10

30+10=40

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

Answer:

Step-by-step explanation:

(4x+9)/(7/3)=(3x)/(1/2)

(12x+27)/7=6x

12x+27=42x

-30x+27=0

-30x=-27

x=27/30

x=9/10

Answer:

I got x=0.

Step-by-step explanation:

Tell me if I am wrong.

x = students = $10

y = non students = $12

total tickets = 150

Equations

x + y = 150

10x + 12y = 1440

x = 150 - y

10(150 - y) + 12y = 1440

1500 - 10y + 12y = 1440

2y = 1440 - 1500

2y = -60

y = -60/2

y = 30

x = 150 -

Answer:

Step-by-step explanation (to solve the equation):

I hope this helps!

Answer:

3y = -42

y = -14

Step-by-step explanation:

Setting up the equation is the first step for this.

To start, "times a number" is multiplication. And since the sentence  said "3 times a number y" you can write out 3 x y OR 3y.

Finally, "is -42" is the word form of saying "= -42"

That will give you the equation of 3y = -42

Solving 3y = -42:

Step 1: Divide both sides of the equation by 3

3y/3 = - 42/3

Since any expression divided by itself equals 1, we can turn 3y/3 into just y. This will make our final equation y = -42/3

Step 2: Solve for -42/3, which will get you your answer of y = -14.

Hope I can help!

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

Answer:

8.3

Step-by-step explanation:

This is me just on my alt account

Answer:

4.375 sq. in.

Step-by-step explanation:

multiply 1.25 by 3.5 and you get 4.375

Answer:

the answer is 1/3*9/4

Answer:  1/3*9/4

Step-by-step explanation: I did a test.

The solution of the given inequality is y ≤ -3.

The given inequality is -

3y ≤ −9

We have to solve this given inequality.

Now, we have the inequality as -

3y ≤ −9

=> y ≤ -3

Thus, the solution of the given inequality is y ≤ -3.

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The additional gas it will take to fill the tank is 16 gallons

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

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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Answer:

x= m+3

y= m-3

now,

x+y+1 = 2m

or, m+3+m-3+1 = 2m

or, 2m+1 =2m

or, 3m=2m

or, m= 3/2 is the answer

Answer:

19

Step-by-step explanation:

f(3) = 2(3)^2 + 1

     = 2(9) + 1

     = 18 + 1

     = 19

The answer is:

Step-by-step explanation:

Plug in the value of x, i.e., 3:

\(\sf{f(x)=2x^2+1}\)

\(\sf{f(3)=2(3)^2+1}\)

Simplify step by step

\(\sf{f(3)=2*9+1}\)

\(\sf{f(3)=18+1}\)

\(\sf{f(3)=19}\)

Answer:

I think it's A. but this is a really hard question so I'm not too sure.

Step-by-step explanation:

Answer:

Step-by-step explanation:

THE PROPERTIES:

A. Four right angles

B. Only 1 pair of parallel sides

C. Two pairs of parallel sides

D. All sides congruent - all sides having the same shape and size

FOR A PARALLELOGRAM,

Property C applies

FOR A SQUARE,

Properties A, C and D apply

FOR A RHOMBUS,

Properties C and D apply

When \(x\) approaches infinity, the function's graph moves closer to the x-axis and horizontal equilibrium point at \(y = 3\). For \(x -2\), which is denoted by such an open ring at \((-2, 3)\) on the graph, the function is undefined.

A graphs is a pictorial display or diagram that displays facts or numbers in an organized way in math. The relationships between multiple things are frequently represented by the points on a graph.

The graph is a mathematics structure made up of a collection of points Coordinates and a set of lines connecting some pairs of VERTICES that may or may not be empty. There is a chance that the edges will be directed, or orientated.

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