Find the value of x.
Round to the nearest tenth.
B
x = [? ]
47
X
73°
AL
C
45
Law of Cosines: c² = a² + b² - 2ab cos C

Answer:

Step-by-step explanation:

the upper left graph is the correct answer

because "... or equal to" always represents a filled dot, while just "greater/less than" represents blank dot

Answer: b

Step-by-step explanation:

Answer:

24=4 ten

27=7 ten

Step-by-step explanation:

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:

X=1

Step-by-step explanation:

Answer:

y = -1/3x + 19/3

Step-by-step explanation:

let the equation of the line be y = mx + b

since it is perpendicular to y = 3x - 1, these two lines's gradient when producted gives -1.

hence, 3 x m = -1

m = -1/3

sub m = -1/3 and (7, 4):

4 = -1/3(7) + b

b = 19/3

therefore, equation of the line is y = -1/3x + 19/3

Topic: coordinate geometry

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The given series ∑n=1[infinity]​4n(−1)n​ converges conditionally.

To determine whether the series converges absolutely, converges conditionally, or diverges, we need to examine the behavior of the terms. In this series, the terms are given by 4n(-1)n.

First, let's consider the absolute convergence of the series. Taking the absolute value of the terms, we have |4n(-1)n| = 4n. This is a geometric series with a common ratio of 4. The absolute value of the common ratio (4) is greater than 1, which means the series diverges.

Now, let's investigate the conditional convergence. By considering the alternating signs in the series (n alternating between positive and negative), we can apply the Alternating Series Test. The terms 4n(-1)n satisfy the conditions of the test: the terms decrease in magnitude as n increases, and the limit of the absolute value of the terms approaches zero. Therefore, the series converges conditionally.

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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The sample size required to estimate a population proportion with a desired level of confidence and margin of error depends on the size of the population and the confidence level desired. In this case, the population proportion is unknown and the desired confidence level is 99.5% with a margin of error of 4%.

To determine the sample size required, we can use the formula:

n = (Z² * p * q) / E²

where n is the sample size, Z is the Z-score corresponding to the desired level of confidence (which for a 99.5% confidence level is 2.81), p is the estimated population proportion (which is 0.5 as we have no reasonable estimate), q is 1-p, and E is the margin of error (which is 0.04).

Plugging in these values, we get:

n = (2.81² * 0.5 * 0.5) / 0.04² ≈ 1381

Therefore, a sample size of at least 1381 is required to estimate the population proportion with 99.5% confidence and a margin of error of 4%.

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Answer:

13 cm

Step-by-step explanation:

\( \sqrt{ {12}^{2} + {5}^{2} } = \sqrt{169 } = 13\)

Answer:

y=12x+2

Step-by-step explanation:

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

Step-by-step explanation:

zoom I'd - 9038735228 pwd -97cEeT join me for talk ...I m getting bored

Answer:

The answer is "\(216\ ft^2\)"

Step-by-step explanation:

Please find the graph file in the attachment.

The area of its tree house's outsides of the square walls and triangular ceilings is equivalent to four squares with four triangles,

\(\to A=4[(6)^2+\frac{1}{2} (6)(6)]\\\\\)

       \(=4[36+\frac{1}{2} (36)]\\\\=4[36+18]\\\\=4[ 54]\\\\=216\ ft^2\)

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

15

Step-by-step explanation:

Step 1:

12/28 = q/35       Equation

Step 2:

28q = 420      Multiply

Step 3:

q = 420 ÷ 28    Divide

Answer:

q = 15

Hope This Helps :)

Chance is 1/10

Given that the die has 20 different numbers, ranging from 1-20, we are to determine the chance that the top side will be either a 9 or a 10.When throwing a die with a different number of faces or sides, each face has an equal chance of showing up as the top side. Thus, to determine the chance that the top side will be either a 9 or a 10, we need to find the probability of rolling a 9 or 10.To calculate the probability of a single event occurring, we divide the number of favorable outcomes by the total number of possible outcomes. Thus, in this case, the probability of rolling a 9 or a 10 would be:Probability of rolling a 9 or a 10= number of favorable outcomes/ total number of possible outcomesNumber of favorable outcomes: 2 (since there are only 2 sides of the die that have a 9 or a 10)Total number of possible outcomes: 20 (since there are 20 different numbers on the die)Probability of rolling a 9 or a 10 = 2/20 = 1/10Therefore, the chance that the top side will be either a 9 or a 10 is 1/10.

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Answer:

Step-by-step explanation:

Angles A and B are "alternate exterior" angles, so they are congruent.

  A = B

  6x -2 = 4x +48

  2x = 50 . . . . . . . . . . add 2-4x to both sides

  x = 25

  A = 6x-2 = 6(25) -2 = 148

x = 25 and the measure of angle A is 148°.

Answer:

B. 20; E. 40

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, ...

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, ...

Common multiples of 4 and 10: 20, 40, 60

Answer: B. 20; E. 40

The correct option regarding the probabilities is given as follows:

a. P(X>16) is greater than P(X<16).

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

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

X = 16 is a negative value, meaning that it has a negative p-value, meaning that it's percentile is below 50%, thus:

Meaning that option a is correct.

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The Ratio Test cannot be used to determine whether the given series is convergent or divergent. The evaluation of the limit resulted in 1, which does not provide any information about the convergence or divergence of the series.

To determine whether the series is convergent or divergent, we can use the Ratio Test. Using the terms given in the question, we can write:
an = 8n
an+1 = 8(n+1)
Using these expressions, we can evaluate the limit:
lim n → [infinity]  (an+1/an)
= lim n → [infinity]  (8(n+1)/8n)
= lim n → [infinity]  (n+1)/n
We can simplify this expression by dividing both the numerator and denominator by n:
lim n → [infinity]  (n/n + 1/n)
= lim n → [infinity]  (1 + 1/n)
As n approaches infinity, the expression (1/n) approaches zero, so we have:
lim n → [infinity]  (1 + 1/n) = 1
Since the limit is equal to 1, we cannot make any conclusion about the series using the Ratio Test. We would need to use another test, such as the Comparison Test or the Limit Comparison Test, to determine whether the series is convergent or divergent.
In conclusion, the Ratio Test cannot be used to determine whether the given series is convergent or divergent. The evaluation of the limit resulted in 1, which does not provide any information about the convergence or divergence of the series.

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Answer:

p > -10/3

Step-by-step explanation:

-4<6+3p

-10<3p

p>-10/3

:]

Answer: p > 10/-3

Step-by-step explanation:

1) Remove the whole numbers next to the variable

Add 10 on both sides.

-3p < 10

2) Set x by itself

Divide -3 on both sides. Dividing -3 will flip the operator sign. (Dividing/Multiplying negative number flips the sign)

p > 10/-3

Answer:

b

Step-by-step explanation:

rude people delete meh answers

rude the answer is b

thank u very much now i must b on my way

Answer:

Its B

Step-by-step explanation:

Because the first one is correct give the credit to her.

Answer:

Step-by-step explanation:

The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function y = x³ / 3 at x = 1.To get y = x (x² / 2 + C), we integrate the second derivative of y with respect to x.∫(d²y/dx²)dx = ∫(12x²)dx => y = 4x³ + C₁ Solve for C₁ by applying the point-slope equation at the point x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x. Given y''(x) = 12x², we can integrate it once to obtain y'(x) = 4x³ + C₁, where C₁ is a constant. We integrate y'(x) once again to get y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant. Now, to find C₁ and C₂, we need to use the fact that the function f(x) = 5 is tangent to y(x) at x = 1.

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The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function

y = x³ / 3 at x = 1.

To get y = x (x² / 2 + C),

we integrate the second derivative of y with respect to x.

∫(d²y/dx²)dx = ∫(12x²)dx

=> y = 4x³ + C₁

Solve for C₁ by applying the point-slope equation at the point

x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1

.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x.

Given y''(x) = 12x²,

we can integrate it once to obtain

y'(x) = 4x³ + C₁, where C₁ is a constant.

We integrate y'(x) once again to get

y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant.

Now, to find C₁ and C₂, we need to use the fact that the function

f(x) = 5 is tangent to y(x) at x = 1.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

Answer:

Answer given in the photo