Find the length of side AC. Give your answer to 1 decimal place.​

Answer:

the value of x that makes this equation true is 9

Step-by-step explanation:

2(x - 6) + x + 14 = 4(x - 3) + 5

open the parenthesis

2x - 12 + x + 14 = 4x - 12 + 5

add 12 to both sides of the equation

2x - 12 + 12 + x + 14 = 4x - 12 + 12 + 5

2x + x + 14 = 4x + 5

subtract 5 from both sides of the equation

2x + x + 14 - 5 = 4x + 5 - 5

3x + 14 - 5 = 4x

3x + 9 = 4x

subtract 3x from both sides of the equation

3x - 3x + 9 = 4x - 3x

9 = 4x - 3x

9 = x

check the answer:

2(x - 6) + x + 14 = 4(x - 3) + 5

2(9 - 6) + 9 + 14 = 4(9 - 3) + 5

29 = 29

We get the Polynomials  quotient and remainder as 2x+7 and 5 respectively.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

Polynomial long division is an extended variant of the well-known mathematical operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree. Due to the fact that it breaks down a more difficult division issue into simpler ones, it may be completed quickly by hand.

The polynomials are

2X^2 - X +16

and

x - 3

Dividing  by 2X^2 - X +16 BY x-3 = 2x + 7

We get the quotiant and remainder as 2x+7 and 5 respectively.

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The radian measure \(\(\frac{9\pi}{6}\)\) is equivalent to \(\(270^{\circ}\)\) when converted to degrees by round to the nearest hundredth.

To convert radians to degrees, we use the conversion factor that \(\(180^{\circ}\)\) is equal to \(\(\pi\)\) radians.

Given that we have \(\(\frac{9\pi}{6}\)\), we can simplify it by canceling out the common factor of 3:

\(\(\frac{9\pi}{6} = \frac{3\pi}{2}\).\)

Now, we can use the conversion factor to convert \(\(\frac{3\pi}{2}\)\) radians to degrees:

\(\(\frac{3\pi}{2} \times \frac{180^{\circ}}{\pi} = \frac{3 \times 180^{\circ}}{2}\\ = \frac{540^{\circ}}{2} \\= 270^{\circ}\).\)

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Answer:

17.00 and 17,000.00

this is your answer to ur question

Work Shown:

3 < x+4 < 10

3-4 < x+4-4 < 10-4 ... subtract 4 from all sides

-1 < x+0 < 6

-1 < x < 6

The variable x is between -1 and 6, excluding both endpoints.

According to the mean height, the Allstars squad comprises players who are normally taller than the Super Stars team, with an average height of 67.3 inches compared to 61.9 inches.

The ratio of the sum of all observations to the total number of observations is known as the Arithmetic Mean (AM) or average in statistics. The arithmetic mean can be used to explain or describe ideas that are not related to statistics. The arithmetic mean can be compared to a centre of gravity in physical terms.

As, the measure of center that would

Mean = (Sum of value )/ Total values.

For the Allstars team, the mean height is:

=(73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15

= 67.3 inches

For the Super Stars team, the mean height is:

=(66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15

= 61.9 inches

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Answer:

IT IS D

Step-by-step explanation:

To find the coordinates of two points given an equation, you can substitute different values of x into the equation and solve for y, or by using the symmetry property of the equation.

The first method to find the coordinates of two points is to  substitute different values of x into the equation and solve for y. Once you have the coordinates of the two points, you can use them to graph the equation and further analyze the function.

For example, if the equation is y = 2x + 1, you can substitute x = 0 and x = 1 into the equation to find the coordinates of the two points. Substituting x = 0 gives y = 2(0) + 1 = 1, so the first point is (0,1). Substituting x = 1 gives y = 2(1) + 1 = 3, so the second point is (1,3).

Another way to find the coordinates of two points is by using the symmetry property of the equation. For example, if the equation is y = -x^2 + 4x -3, you can substitute x = -1 and x = 1 into the equation and solve for y.

In conclusion, finding the coordinates of two points given an equation involves substituting different values of x into the equation and solving for y, or by using the symmetry property of the equation.

The coordinates of the two points will be used to graph the equation and further analyze the function.

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Answer:

$39

Step-by-step explanation:

original cost = $50

discount = 25%   so  25% of $50 = 0.25 x 50 = $12.50

Therefore sale price = 50 - 12.50 = $37.50

Sales tax of 4% = 0.04 x 37.50 = $1.50

Final price Jane will pay = 37.50 + 1.50 = $39

linear quick equation:  (50 x 0.75) x 1.04 = 39

Answer:

Step-by-step explanation:

Is it a grade?

Answer:

Its the third one

Step-by-step explanation:

i did the test

Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:

n = 100, p = 0.5.

The mean and the standard deviation are given by:

Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (59.5 - 50)/5

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

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Answer:

on ed its the first one and the second one

Answer:

f(x) = \(\sqrt{x - 3}\)

f(x) = \(\sqrt{x - 1}\)

Step-by-step explanation:

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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\(\sqrt{-27}=\sqrt{27}\sqrt{-1}=\boxed{3\sqrt{3}i}\).

Result is a complex irrational number.

Hope this helps.

300. Because the distance is still 100 in between.

n=3

Step-by-step explanation:

24=3n-15

9=3n

3=n

Answer:

n = 13

Step-by-step explanation:

24 = 3(n - 5)

divide each side by 3

8 = n - 5

add 5 to each side

13 = n

check your work

24 = 3(13 - 5)

24 = 3(8)

24 = 24

Step-by-step explanation:

here is your answer bro..just use the formula and keep the value

Answer:

Associativity.

Step-by-step explanation:

Answer:

answer x= 40 cm

plz refer to the picture

Answer:

40

Step-by-step explanation:

The solution to the given linear equation, 4(x - 7)= 0.3(x + 2) + 2.11, is x = 8.3. The correct option is b) 8.3

From the questions, we are to determine the solution to the given linear equation.

The given linear equation is

4(x - 7)= 0.3(x + 2) + 2.11

To solve the equation, we will determine the value of x

Solving the equation

4(x - 7)= 0.3(x + 2) + 2.11

Clear the parentheses by applying the distributive property

4x - 28 = 0.3x + 0.6 + 2.11

Add 28 to both sides of the equation

4x - 28 + 28 = 0.3x + 0.6 + 2.11 + 28

4x = 0.3x + 30.71

Subtract 0.3x from both sides of the equation

4x - 0.3x = 0.3x - 0.3x + 30.71

3.7x = 30.71

Divide both sides by 3.7

3.7x/3.7 = 30.71/3.7

x = 8.3

Hence, the solution to the equation is x = 8.3

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Therefore, Pump B will have a longer average cycle time compared to Pump A.

To determine which pump will have a longer average cycle time, we need to calculate the cycle time for each pump based on the given information and compare the results. The cycle time for a single-server system can be calculated using Little's Law: Cycle Time = (1 / Arrival Rate) * (1 / (1 - Utilization))

Given:

Arrival Rate = 0.2 car per minute

Squared-Coefficient of Variation (CV^2) for Arrival Rate = 1

Utilization can be calculated as the product of the mean effective process time and the arrival rate:

Utilization = Mean Effective Process Time * Arrival Rate

For Pump A:

Mean Effective Process Time (A) = 4 minutes

Squared-Coefficient of Variation for Pump A = 0.5

Utilization (A) = 4 * 0.2 = 0.8

For Pump B:

Mean Effective Process Time (B) = 3 minutes

Squared-Coefficient of Variation for Pump B = 5

Utilization (B) = 3 * 0.2 = 0.6

Now, let's calculate the cycle time for each pump:

Cycle Time (A) = (1 / 0.2) * (1 / (1 - 0.8))

= 5 minutes

Cycle Time (B) = (1 / 0.2) * (1 / (1 - 0.6))

= 2.5 minutes

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The solution to the expression (3x³ + 5x² - 11x + 3)/(x + 3) is (x - 1/3)(x - 1)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression:

(3x³ + 5x² - 11x + 3)/(x + 3)

= (x + 3)(x - 1/3)(x - 1) / (x + 3)

= (x - 1/3)(x - 1)

The solution to the expression (3x³ + 5x² - 11x + 3)/(x + 3) is (x - 1/3)(x - 1)

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The Answer is x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

The basic feasible solution from the given tableau X1 X2 Хз S1 S2 Z 0 0160 6 -1 1 1 0 148 2 4 0 -6 -10 -5 0 0 1143 is:x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic. The basic feasible solution is achieved when all the constraints in a linear programming problem are met. The constraints can be in the form of equations or inequalities. The linear programming problem provides the optimal values for a given objective function. The optimal values are determined by the constraints that are involved in the problem. In the given problem, X2 and S1 are basic, and X1, Xx3, and S2 are nonbasic. Indicate which variables are basic and which are nonbasic.The variables that are basic and nonbasic can be calculated from the tableau. The basic variables are those that have the coefficients of 1 in the final column. The nonbasic variables are those that have the coefficients of 0 in the final column. Therefore, x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

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Answer:d

Step-by-step explanation:

16-4=12 and 16+4=20

The missing terms in the sentence are "Inclination" and "Vertical."

Inclination is the angle of tilt below the imaginary horizontal plane oriented 90-degrees to the vertical direction. It refers to the angle at which an object or surface deviates from being perfectly horizontal or flat. It measures the slope or tilt of the object or surface in relation to the vertical direction.

The vertical direction is the imaginary line or axis that points directly up or down, perpendicular to the horizontal plane. It is oriented at a 90-degree angle to the horizontal direction, which is typically considered the direction parallel to the ground or any other reference plane.

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