What is the percent of increase from 2 to 4?

The quotient of the division operation (12x³ - 11x² + 9x + 18) / (4x + 3) is 3x² - 5x + 6

From the question we are to determine the quotient in the given division operation

The given division operation is:

(12x³ - 11x² + 9x + 18) / (4x + 3)

The quotient of the given division operation can be determine as follows

                     3x² - 5x + 6

4x + 3 | 12x³ - 11x² + 9x + 18

           12x³ + 9x²  

                    -20x² + 9x

                    -20x² - 15x  

                                 24x + 18

                                 24x + 18

                                            0

Hence, the quotient of the division operation is 3x² - 5x + 6

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50%

You need to convert the fraction (ratio)

Afterwards, you will get your answer!

I don't know how to upload or I would upload a picture of my work and how to do it to help you.

I hope this helps you!

Answer:

50percent

Step-by-step explanation:

75 is half of 150

Answer:g(x)=x-2+2

Step-by-step explanation:

Kid

Answer A

Took the quiz

The three points lie on the line that best represents the total cost of {y} of x pens are:  (0,0), (4, 3) and (8, 6).

We have the information from the question:

James buys 4 pens for $3.

To find the three points lie on the line that best represents the total cost of {y} of x pens.

Now, According to the question:

'x' represent the number of pens

'y' represent the total cost

When x = 0 , y = 0 and when x = 4 , y = 3

Assume, y = mx + c

∴ \(y = \frac{3}{4}x + c\)

when x = 0 , y = 0 Plug the values of x and y in above equation.

=> \(0=\frac{3}{4}.0+c\)

Put c = 0, we get:

\(y = \frac{3}{4}x\)

Now, From the graph :

The three points lie on the line that best represents the total cost of {y} of x pens are:

When x = 8, \(y = \frac{3}{4}.8=6\)

∴ It passes (0,0), (4, 3) and (8, 6).

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Answer:

Trillion is a 1 with 12 zeros after it, and it looks like this: 1,000,000,000,000.

Step-by-step explanation:

Answer:

1000000000000

quadrillions

Step-by-step explanation:

Lena's average speed for the entire race is 3.8 m/s

In this question we have been given that Lena is competing in a 400 m race. she runs at a constant speed of 4.7 m/s for the first 150 m, then 4.1 m/s for 30 seconds.

The remainder of the race takes her 42 seconds to complete.

We need to find Lena's average speed for the entire race.

We know that the formula of speed.

speed = distane/time

time = distance/speed

So, the time for first 150 m would be

time = (150 m)/(4.7 m/s)

       = 31.915 s

Lena's average speed would be,

A = total distance/total time

   = (400 m)/(31.915 s + 30 s + 42 s)

   = (400 m)/(103.915 s)

   ≈ 3.8 m/s

Hence, the Lena's average speed for the entire race is, 3.8 m/s

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Answer:

X=10, Y=4

Step-by-step explanation:

Along the y-axis, x = 0.

2(0) + 5y = 20

5y = 20

y = 4

Your y-intercept is at (0,4).

Along the x-axis, y = 0

2x + 5(0) = 20

2x = 20

x = 10

Your x-intercept is at (10,0).

Answer:

-2x-5y=20 (if x= 2 )

\( - 2 \times 5 - 5 \times y = 20 \)

\( - 20 - 5 \times y = 20\)

\( - 5 \times y = 40\)

\(y = 8\)

Answer:

the answer is 40 you are welcome

The angle that correctly completes the law of cosines for this triangle is approximately 22.62 degrees.

The three primary trigonometric functions are:

Sine (sin): In a right triangle, the sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. So, for an angle θ in a right triangle with sides a, b, and hypotenuse c, sin(θ) = a/c.

Cosine (cos): In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the angle to the length of the hypotenuse. So, for an angle θ in a right triangle with sides a, b, and hypotenuse c, cos(θ) = b/c.

Tangent (tan): In a right triangle, the tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side. So, for an angle θ in a right triangle with sides a, b, and hypotenuse c, tan(θ) = a/b.

The law of cosines states that for any triangle with side lengths a, b, and c and angle C opposite side c, we have:

c² = a² + b²- 2ab*cos(C)

In the given equation, we have:

12²+ 13² - 2(12)(13)*cos(C) = 5²

Simplifying this equation, we get:

144 + 169 - 312*cos(C) = 25

313 - 312*cos(C) = 25

-312*cos(C) = -288

cos(C) = 288/312

cos(C) = 0.923

To find the value of angle C, we take the inverse cosine (cos^-1) of 0.923:

C = cos^-1(0.923)

C ≈ 22.62 degrees

Therefore, the angle that correctly completes the law of cosines for this triangle is approximately 22.62 degrees.

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Step-by-step explanation:

1a. ( 3, -4)

1b. ( 8, -2)

1c. ( 10, -10)

hope it helps!

Yes, an object can have zero velocity and immobile be accelerating together. While participating the object, you will find that the object will continue to move ahead for some time and then stops instantly.

Then the object will start to move in the reverse direction.

at all the velocity is constant, the acceleration is zero. For example, a car traveling at a constant 80 km/h in a straight line has nonzero velocity and zero acceleration.

If acceleration is 0, the velocity is not converted. If the velocity is constant (0 acceleration) then the object will continue needing slowing down or speeding up.

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Answer:

2 radians

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

let x be the central angle , then

arc = 2πr × \(\frac{x}{2\pi }\) ( cancel 2π on numerator and denominator )

    = 2r × x

given arc length = 40 , then

2 × 10 × x = 40

20x = 40 ( divide both sides by 20 )

x = 2

the central angle has a measure of 2 radians

The correct answer is option C: Yes, because 12-9<6

A triangle can be formed with side lengths 6, 9, and 12. This is because the Triangle Inequality states that the sum of any two side lengths of a triangle must be greater than the third side length. In this case, 6+9=15 and 12+9=21, both of which are greater than 12, so a triangle can be formed. The correct answer is therefore option C, "yes, because 12 − 9 < 6."

Therefore, as per Triangle Inequality, a triangle can be formed with side lengths 6, 9, and 12, Correct answer option C (Yes, because 12-9<6)

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(a) The concentration after three doses is 10% + 2.3 mg/l. (b) The formula for the concentration after the nth dose is cₙ = [(cₙ-1 * 10%) + 2.3 mg/l] * 10% + 2.3 mg/l.

(a) Concentration after three doses:

Before the first dose, the concentration is reduced by 90%, so we have 100% - 90% = 10% of the initial concentration remaining.

After the first dose, the concentration is increased by 2.3 mg/l, resulting in a concentration of 10% + 2.3 mg/l.

Before the second dose, the concentration is again reduced by 90%, so we have 10% of the concentration from the first dose remaining.

After the second dose, the concentration is increased by 2.3 mg/l, resulting in a concentration of 10% + 2.3 mg/l.

Before the third dose, the concentration is reduced by 90% again, so we have 10% of the concentration from the second dose remaining.

After the third dose, the concentration is increased by 2.3 mg/l, resulting in a concentration of 10% + 2.3 mg/l.

Therefore, the concentration after three doses is 10% + 2.3 mg/l.

(b) Formula for cₙ as a function of n:

From the given information, we can observe that the concentration after each dose follows a pattern. Let's denote the initial concentration as c₀.

Before the first dose: c₀

After the first dose: c₀ * 10% + 2.3 mg/l

Before the second dose: c₀ * 10% + 2.3 mg/l

After the second dose: (c₀ * 10% + 2.3 mg/l) * 10% + 2.3 mg/l

Before the third dose: (c₀ * 10% + 2.3 mg/l) * 10% + 2.3 mg/l

After the third dose: [(c₀ * 10% + 2.3 mg/l) * 10% + 2.3 mg/l] * 10% + 2.3 mg/l

We can observe a recurring pattern. The concentration after each dose can be expressed as:

cₙ = [(cₙ-1 * 10%) + 2.3 mg/l] * 10% + 2.3 mg/l

This formula allows us to calculate the concentration after any given dose, where cₙ represents the concentration after the nth dose.

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the flow curve expresses the behavior of a metal in plastic region of the stress strain curve.

When a sample is exposed to various shear rates or shear stressors, the change in shear viscosity is graphically shown by a flow curve.

A flow curve is a measurement performed on a rotating viscometer or rheometer in which the shear rate is increased stepwise and the corresponding shear stress is calculated for each shear rate. The characteristics of the instrument are used to compute the associated shear stress and viscosity.

Thus, the flow curve expresses the behavior of a metal in the plastic region of the stress strain curve.

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Answer:

12:15

Step-by-step explanation:

27/9=3

3x4=12

3×5=15

There are 12 maths book's

Answer:

12 are math

Step-by-step explanation:

if ratio of math to science is 4 to 5 then 4/9 of 27 are math and 5/9 of 27 are science

27 x 4/9 = 12

Answer:

5x⁴ + 7x or x(5x³ + 7 )

Step-by-step explanation:

Given expression:

        5x⁴ - 7(-x )

To simplify this expression, we have to follow the order of operation PEMDAS;

Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

  5x⁴ - 7(-x ) = 5x⁴ + 7x

               Since x is common to both terms;

                = x(5x³ + 7 )

So the simplified version can be 5x⁴ + 7x or x(5x³ + 7 )

Answer:

15

Step-by-step explanation:

Using the formula

A=πr2

Solving

r=√A/π

r=√706.97/22/7

r≈15.00118

Answer:

Answer is 0.3265

Step-by-step explanation:

I hope it's helpful!

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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According to the given data we have the following equations:

a. 6-x-3= 10

b. 100x + 300=200

c. 1/3x + 4 = x - 2

d. 36 - 2x = -x +2

To solve the equations we would have to make the following calculations:

a. 6-x-3= 10

-x=10-6+3

-x=4+3

-x=7

x=-7

b. 100x + 300=200

100x=200-300

100x=-100

x=-1

c. 1/3x + 4 = x - 2

1/3x=x-2-4

0.3333x=x-6

x-6-0.3333x=0

0.66667x=6

x=6/0.66667

x=9

d. 36 - 2x = -x +2

-x+2-36+2x=0

x+34=0

x=-34

Answer: 4 1/2 hours

Step-by-step explanation:

if it takes luke 3 hours to drive 150 miles that means in 6 hours he would have driven 300 miles.

he drives 50 miles per hour

so 250 miles is 4 1/2

Answer:

I think it is 68.5714285714 cubic inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the area formula:

\(\\ \sf\longmapsto Area=LB\)

\(\\ \sf\longmapsto Area=10\dfrac{3}{4}\times 8\dfrac{1}{2}\)

\(\\ \sf\longmapsto Area=\dfrac{43}{4}\times \dfrac{17}{2}\)

\(\\ \sf\longmapsto Area=\dfrac{731}{8}\)

\(\\ \sf\longmapsto Area=91\dfrac{3}{8}ft^2\)

Answer:

part A 210 Part B  4.4

Step-by-step explanation:

PART A    42 TIMES 5   210

that will be the rate she ran.

PART B 1.1 times 4 that will be the minute.

Answer:

8.5

Step-by-step explanation:

So substitute the vales for r and d

(4*2)

and |-6| means the absolute value of -6, which is just 6

so simplifying the equation would make it

(8+6.5) - 6

14.5-6

8.5 :)

The answer is B part

As the requirement for the student is either a senior or one who studies maths or both.

So, just add the values within the two venn circles divide it by total no of values.

=> 240+40+110/240+40+110+840

=> 360/1200

Answer:

B

Step-by-step explanation:

840 people aren't senior or don't takes math.

210 + 40 = 250 are seniors

110 + 40 = 150 people take math

In this class has 840 + 210 + 40 + 110 = 1200 people => All

210 + 40 + 110 = 360 people are seniors or take math. => P( S U M)

Probabilty that a randomly selected student is a senior or takes math =>\(\frac{P(S U M)}{All}\)

\(\frac{P(S U M)}{All} = \frac{360}{1200}\)

Hope this helps ^-^