Find the values of x and y.

Answer:

3,6,9,12,15,18,21}

B={4,8,12,16,20}

C={2,4,6,8,10,12,14,16}

D={5,10,15,20}

(i) A−B={3,6,9,15,18,21}

(ii) A−C={3,9,15,18,21}

(iii) A−D={3,6,9,12,18,21}

(iv) B−A={4,8,16,20}

(v) C−A={2,4,8,10,14,16}

(vi) D−A={5,10,20}

(vii) B−C={20}

(viii) B−D={4,8,12,16}

(ix) C−B={2,6,10,14}

(x) D−B={5,10,15}

(xi) C−D={2,4,6,8,12,14,16}

Answer: QN = 12

Step-by-step explanation: This quadrilateral is a paralelogram because its 2 opposite sides (NP and MQ) are parallel and the other 2 (MN and PQ) are congruent.

In paralelogram, diagonals bisect each other, which means QR = RN.

If QR = RN:

QR = 6

Then,

QN = QR + RN

QN = 6 + 6

QN = 12

The diagonal QN of quadrilateral MNPQ is QN = 12.

Answer:

D

Step-by-step explanation:

Because negative is smaller than fractions. and ABC, is all off.

Answer: I think the answer is D/ the last answer

Step-by-step explanation:

Answer:

15.6 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula below, where \((x_1, y_1)\) is the first coordinate and \((x_2, y_2)\) is the second coordinate.

\(\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)

Using the distance formula above,

distance between A(-3, 1) and B(7, 13)

= \(\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}\)

= \(\sqrt{12^2+(7+3)^2}\)

= \(\sqrt{244}\)

= 15.6 units (3 s.f.)

Additional:

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Answer: percent

Step-by-step explanation: i know stuff and btw i hope this helps

The Maclaurin series for the function f(x) = 1 + x^2 + cos(x) is D. 2 + x + 3x^2 + ...

The Maclaurin series is a special case of the Taylor series, where the expansion is centered at x = 0. To find the Maclaurin series of the function f(x) = 1 + x^2 + cos(x), we need to compute the derivatives of the function and evaluate them at x = 0.

The first derivative of f(x) is f'(x) = 0 + 2x - sin(x), and evaluating it at x = 0 gives f'(0) = 0. The second derivative is f''(x) = 2 - cos(x), and f''(0) = 2. The third derivative is f'''(x) = sin(x), and f'''(0) = 0.

By plugging these values into the formula for the Maclaurin series, we get the series 2 + x + 3x^2 + ..., where each term represents the coefficient of the corresponding power of x.

Therefore, the Maclaurin series for the function f(x) = 1 + x^2 + cos(x) is D. 2 + x + 3x^2 + ..., as provided in the options.

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The other answer choices do not fit the criteria for a binomial distribution because they either have more than two possible outcomes or the experiment is not repeated a fixed number of times.

The answer choice that will follow a binomial distribution is "the number of heads when a fair coin is tossed 10 times".

A binomial distribution is a type of probability distribution that represents the probability of a success or failure outcome in an experiment that is repeated a fixed number of times. In this case, the experiment is tossing a fair coin 10 times and the outcome is either heads or tails.

Since there are only two possible outcomes (heads or tails) and the coin is tossed a fixed number of times (10), this answer choice follows a binomial distribution. The other answer choices do not fit the criteria for a binomial distribution because they either have more than two possible outcomes or the experiment is not repeated a fixed number of times.

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Answer:

Step-by-step explanation:

Calculate in steps:

Answer:

Step-by-step explanation:

1879 *  5* 20 = 1879 * (5* 20)

                     = 1879 * 100

                      = 187900

Answer:

it takes 36 minutes to fill the bathtub using just hot water.

the consultant's salary in dollars per month is approximately 7,250 dollars per month. To convert the consultant's salary from rand per year to dollars per month, we can use the following equation:

[Salary in dollars/month] = [Salary in rand/year] x [Exchange rate rand/dollar] x [Months/year]

We need to fill in the two blanks on the left side of the equation using two of the ratios. We can use the fact that there are 12 months in a year, so we can write:

[Months/year] = 12 months/year

To convert from rand to dollars, we need to use the exchange rate rand/dollar. The exchange rate can fluctuate over time, so we need to use the current exchange rate. As of February 2023, the exchange rate is approximately 14.5 rand per dollar. We can write:

[Exchange rate rand/dollar] = 14.5 rand/dollar

Now we can substitute these values into the equation:

[Salary in dollars/month] = [Salary in rand/year] x [Exchange rate rand/dollar] x [Months/year]

[Salary in dollars/month] = [Salary in rand/year] x 14.5 rand/dollar x 12 months/year

To find the consultant's salary in dollars per month, we need to know the consultant's salary in rand per year. Let's say the consultant's salary is 500,000 rand per year. Then we can substitute this value into the equation and solve for the salary in dollars per month:

[Salary in dollars/month] = 500,000 rand/year x 14.5 rand/dollar x 12 months/year

[Salary in dollars/month] = 87,000 dollars/year

[Salary in dollars/month] = 87,000 dollars/year / 12 months/year

[Salary in dollars/month] = 7,250 dollars/month

Therefore, the consultant's salary in dollars per month is approximately 7,250 dollars per month.

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Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Answer:

For Plato, the answer is A: Medicaid and Medicare

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answers:

Lisa is currently   9  years old  

Olivia is currently    19 years old  

==================================================

Explanation:

L = Lisa's current age

2L+1 = Olivia's current age

This is because the 2L represents being twice as old as Lisa, then we add on an extra year.

Then we refer to the first sentence:

\(\text{The sum of 4 times Lisa's age and 7 times Olivia's age is 169}\)

to form this equation

4*(Lisa's age) + 7*(Olivia's age) = 169

4L + 7(2L+1) = 169

-------------------

Let's solve for L

4L + 7(2L+1) = 169

4L + 14L + 7 = 169

18L + 7 = 169

18L = 169-7

18L = 162

L = 9

Lisa is currently 9 years old.

That leads to,

2L+1 = 2*9+1 = 18+1 = 19

Olivia is currently 19 years old.

-----------------

Check:

4*(Lisa's age) + 7*(Olivia's age) = 169

4*9 + 7*19 = 169

36 + 133 = 169

169 = 169

The answers are confirmed.

Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Answer: it would be 5

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9,10 the middle #is 5

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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The standard deviation of the sample data is 6.70.

To calculate the standard deviation of a sample, we need to follow some steps:

Find the mean of the sample data. The mean is the sum of all data points divided by the number of data points in the sample.

In this case, we have 15 data points in the sample, so we can find the mean by adding up all the data points and dividing by 15:

Mean = (32+30+23+40+26+35+29+39+37+22+23+34+20+20+23)/15

Mean = 28.93

Add up all of the squared differences from step 2.

We add up all 15 squared differences to get:

Σ(x - μ)² = 9.425 + 1.524 + 28.09 + 110.89 + 7.29 + 35.69 + 1.69 + 88.89 + 62.41 + 42.49 + 28.09 + 26.49 + 68.89 + 68.89 + 28.09

Σ(x - μ)² = 628.02

Divide the sum of squared differences by the number of data points minus 1 (n-1) to get the sample variance.

Sample Variance = Σ(x - μ)² / (n-1)

Sample Variance = 628.02 / 14

Sample Variance = 44.86

Take the square root of the sample variance to get the standard deviation.

Standard Deviation = √(Sample Variance)

Standard Deviation = √(44.86)

Standard Deviation = 6.70 (rounded to two decimal places)

This means that the data is spread out from the mean by an average of 6.70 units.

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The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

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Answer: It represents that 2 will be divided into 3 equal parts.

Step-by-step explanation:

The given fraction : \(\dfrac{2}{3}\)

here, Numerator = 2

Denominator = 3

It represents that 2 will be divided into 3 equal parts.

Area = 312 yds

length (l) = 2width + 2

Formula

Area = length x width

Substitution

312 = (2 width + 2) (width)

312 = 2width^2 + 2width

2width^2 + 2width - 312 = 0

width^2 + width - 156 = 0

Factor

( x + 13)(x - 12) = 0

x1 = -13 x2 = 12

width = 12 yds

length = 2(12) + 2

length = 24 + 2

length = 26

Results

length = 26 yds

width = 12 yds

The formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

The formula =IF(A1="A",1,IF(A1="B",2,IF(A1="D",4,5))) is a nested IF statement that checks the value of cell A1 and returns a corresponding value based on the conditions.

In this case, the value of A1 is "C". Therefore, the first condition, A1="A", is not true, so the formula moves on to the second condition, A1="B". This condition is also not true, so the formula moves on to the third condition, A1="D". However, this condition is also not true, because the third condition has a typo, where there is an extra space before the "D". Therefore, the formula evaluates the final "else" option, which is 5.

Thus, the formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

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Answer:

360 - 50 -50 - 120 = 140 degrees

The derivative of f(x)=\((x^3-8)^{(2/3)}\) is  (2/3) \((x^3-8)^{(-1/3)}\) 3x².

To find the derivative of f(x)=\((x^3-8)^{(2/3)}\),

We need to use the chain rule and the power rule of differentiation.

First, we take the derivative of the outer function,

⇒ d/dx [ \((x^3-8)^{(2/3)}\) ] = (2/3) \((x^3-8)^{(-1/3)}\)

Next, we take the derivative of the inner function,

which is x³-8, using the power rule:

d/dx [ x³-8 ] = 3x²

Finally, we put it all together using the chain rule:

d/dx [ \((x^3-8)^{(2/3)\) ] = (2/3) \((x^3-8)^{(-1/3)}\) 3x²

So,

The derivative of f(x)=  \((x^3-8)^{(2/3)\) is (2/3) \((x^3-8)^{(-1/3)}\) 3x².

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The table is 0.755 ft longer than the width.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

A table measures 3.5 feet long and 2.745 feet wide. Therefore, the length by which the table is longer that the width is,

Difference = 3.5ft - 2.745ft = 0.755 ft

Hence, the table is 0.755 ft longer than the width.

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The solution to the inequality 12.5x+25≥175 represents the number of hours Patricia needs to work to save enough money for the phone. The solution will be greater than or equal to 12 hours, as 12.5 multiplied by 12 plus 25 equals 175. Therefore, Patricia needs to work at least 12 hours to save enough money for the phone.

The inequality that represents Patricia's situation is 12.5x + 25 ≥ 175, where x represents the number of hours she needs to work to save enough money for the phone. The left side of the inequality represents the total amount of money Patricia earns from babysitting and her hourly job, which is $25 plus $12.5x (since she earns $25 each week from babysitting and $10 per hour from her job, and x represents the number of hours she works per week). The right side of the inequality represents the cost of the phone, which is $175. The inequality states that Patricia needs to earn at least $175 to afford the phone, so she needs to work enough hours to make that amount.

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The statements about the diagram that can be concluded, includes;

The first statement that cannot be concluded is the option;

\( \overleftrightarrow{AB}\)

intersects \(\overleftrightarrow{CD}\)

\( \overleftrightarrow{AB}\) is on plane T, \(\overleftrightarrow{CD}\) is on plane S

\(\overleftrightarrow{AB}\) is offset from \(\overleftrightarrow{CD}\) by \( \overline{BC}\)

Therefore;

\(\overleftrightarrow{AB}\) cannot intersect \(\overleftrightarrow{CD}\)

The second statement that cannot be concluded is the option;

\( \overleftrightarrow{HC} \perp \overleftrightarrow{ CD}\)

The angle \( \angle {DCH} \) appears more to be obtuse than 90° such that \( \overleftrightarrow{HC} \) cannot be \( \perp \) to \(\overleftrightarrow{ CD}\)

The third statement that cannot be concluded is the option;

\( \overleftrightarrow{FA} \perp \overleftrightarrow{ CD}\)

The reason the above statement cannot be concluded is that \( \overleftrightarrow{FA} \) and \( \overleftrightarrow{ CD}\) are lines that do not intersect.

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