Find the measure of angle s?
45•
90•
30•
15•

Answer:

x>2

Step-by-step explanation:

Answer:

5+1<6x-3x

6<3x

3. 3

x= 2

Answer:

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

Let the first term be a.

The common ratio is r = 2 and the sum of the first 6 terms is S₆ = 7.

Use the sum of first n terms formula:

Substitute and solve for a:

The simplified expressions for e33, e13, and e22 in the matrix E = AB are:

e33 = 54r - 14q - 41

e13 = 22 - 15v

e22 = -12y + 113

To determine the values of e33, e13, and e22 in the matrix E = AB, where A and B are given matrices, we need to perform matrix multiplication.

First, let's calculate the matrix product of A and B:

A = [w -1 4 v] B = [0 16 4 -4]

[11 y 11 7] [-2 -12 -6 3]

[-8 -9 r -14] [-5 0 n 0]

[5 -9 -15 q]

Using the row-column method of matrix multiplication, we can calculate each element of the resulting matrix E.

e33: The element in the third row and third column of E.

e33 = (-8)(4) + (-9)(-6) + (r)(-15) + (-14)(q)

e13: The element in the first row and third column of E.

e13 = (w)(4) + (-1)(-6) + (4)(-15) + (v)(q)

e22: The element in the second row and second column of E.

e22 = (11)(16) + (y)(-12) + (11)(0) + (7)(-9)

Now, substitute the given values for the variables w, y, r, v, n, and q into the corresponding equations to obtain the exact, reduced forms of e33, e13, and e22.

Therefore, the simplified expressions for e33, e13, and e22 in the matrix E = AB are:

e33 = 54r - 14q - 41

e13 = 22 - 15v

e22 = -12y + 113

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Answer:

Step-by-step explanation:

Carry out indicated operations to see if they are equal

2(6-3x)+x=2(3x)+x+12

2(6)+2(-3x)+x=6x+x+12

12-6x+x=6x+x+12 combine like terms on both sides

12-5x=12+7x (we can see here they are unequal but we can continue) subtract 12 from both sides

-5x=7x divide both sides by x

-5=7

7 is not equal to -5 so the original expressions aren’t equivalent.

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

The vertices of the triangle are given as:

F = (-7,8)

G = (-1,1)

H = (-8,4)

The transformation rule is given as

270 degrees counterclockwise rotation

The rule of 270 degrees counterclockwise rotation is

(x,y) = (y,-x)

When the above rule is applied to the vertices of the triangle, we have:

F' = (8, 7)

G' = (1, 1)

H' = (4, 8)

Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

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This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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The height of the cylinder is 18 cm and its volume is 450π cubic centimeters, given that the radius of its base is 5 cm and its total surface area is 165πcm².

A right circular cylinder is a three-dimensional geometric shape with a circular base and a curved surface that extends upward in a cylindrical fashion.

Let's begin by identifying the formula for the total surface area of a cylinder. It is given by:

Total surface area = 2πr(h + r)

Where r is the radius of the base, h is the height, and π is a mathematical constant (approximately 3.14). We are given that the total surface area of the cylinder is 165πcm², and the radius of its base is 5 cm. Substituting these values in the formula, we get:

165π = 2π(5 + h)5 + 2π(5)²

Simplifying this equation, we get:

165π = 10πh + 150π

Dividing both sides by 10π, we get:

h + 15 = 33

Therefore, the height of the cylinder is 18 cm (33 - 15).

Now, let's find the volume of the cylinder. The volume of a cylinder is given by:

Volume = πr²h

Substituting the values of r and h, we get:

Volume = π(5)²(18)

Simplifying this equation, we get:

Volume = 450π

Therefore, the volume of the cylinder is 450π cubic centimeters.

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Complete Question:

The total surface area of a right circular cylinder is 165πcm². If the radius of its base is 5 cm; find its height and volume.

Answer:

so so so sorry I usually don't do this but you know

Step-by-step explanation:

should have never be a

Answer:

Option C: 4

Step-by-step explanation:

Use the Pythagorean Theorem:

\(a^2+b^2=c^2\)

\(3^2+b^2=5^2\)

\(9+b^2=25\)

\(b^2=16\)

\(b=4\)

Therefore, the value of x is 4.

the expression x + (x - 5) can be used to determine how many apples Martin and Omar used in total. It helps us understand that Martin used more apples than Omar and that the number of apples in total is greater than 10.

a. Let x represent the number of apples that Martin used.

The expression is x + (x - 5).

b. We can substitute 10 for x in the expression to see if it is possible for Martin to have used 10 apples: 10 + (10 - 5). The answer is 15, which is greater than 10, so it is not possible for Martin to have used 10 apples.

Martin and Omar both used apples in their recipes, but Omar used 5 fewer apples than half as many as Martin used. To represent the number of apples that they used altogether, we can use an expression that includes a variable x, which represents the number of apples that Martin used. The expression is x + (x - 5). To check if Martin could have used 10 apples, we can substitute 10 for x in the expression: 10 + (10 - 5). The answer is 15, which is greater than 10, so it is not possible for Martin to have used 10 apples. Therefore, the expression x + (x - 5) can be used to determine how many apples Martin and Omar used in total. It helps us understand that Martin used more apples than Omar and that the number of apples in total is greater than 10.

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C

because if you divide 15 by 20 on a graf and find what number is closes to it

Answer:

6/12 ≈ 1/2

Step-by-step explanation:

Q) 2/3 × 3/4 = ?

→ a = 2/3 × 3/4

→ a = (2 × 3)/(3 × 4)

→ a = 6/12

→ [ a = 1/2 ]

1/2

Multiply the numerators and the denominators of both fractions,

2  *  3

_____    

3  *  4

= 6/12

Simplify.

1/2

Answer:

Its the last one

Step-by-step explanation:

(4x⁴ + x³ - x) - (-x⁴ + 3x³ - 2x)

= (4x⁴ + x³ - x) + (x⁴ - 3x³ + 2x)

= 5x⁴ -2x³ + x

Answer:

Correct choice: D.

\(y+4=4(x+3)\)

Step-by-step explanation:

The point-slope form of the equation of a line is:

\(y-k=m(x-h)\)

Where m is the slope and (h,k) is a point through which the line passes.

According to the question, the slope of a line is m=4 and it contains the point (-3,-4), thus, replacing the values:

\(y-(-4)=4(x-(-3))\)

Operating:

\(\boxed{y+4=4(x+3)}\)

Correct choice: D.

Answer:

(2, 2), (5, 3), (9, 4), and (13, 5).

Step-by-step explanation:

The inverse of a function makes it so that the x-values become y-values, and y-values become x-values.

The current coordinates are (2, 2), (3, 5), (4, 9), and (5, 13).

If the function were inversed, the coordinates would be (2, 2), (5, 3), (9, 4), and (13, 5).

Hope this helps!

Answer:

$37.23 will be available each month.

Step-by-step explanation:

The smallest sample size that will result in a margin of error of no more than 5% for a 95% confidence interval is given as follows:

385.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is modeled as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

We have no estimate, hence we consider that:

\(\pi = 0.5\)

The minimum sample size is obtained as n when M = 0.05, hence:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.05\sqrt{n} = 1.96 \times 0.5\)

\(\sqrt{n} = 1.96 \times 10\) (0.5/0.05 = 10).

\((\sqrt{n})^2 = (1.96 \times 10)^2\)

n = 384.16

Hence rounded to 385, as a sample size of 384 would have a margin of error slightly above 0.05.

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Answer:

<2, <5

Step-by-step explanation:

<2 is a vertical angle so it is equal to 110

<5 is a corresponding angle and since the lines are parallel it is also equal to 110

Answer:

38°.

Step-by-step explanation:

A triangle adds up to 180°.

CAB= 78°

But we minus 78° from 46°:

32°.

As a triangle adds up to 180°,

110+32= 142°.

180-142= 38°.

To see if we are correct:

38+32+110= 180°.

Hope this is okay!

The average value of f on the closed interval 2 < < < 6 is  0.722. The correct answer is C.

The average value of a function f on the interval [a, b] is given by:

average value = (1 / (b-a)) * ∫(a to b) f(x) dx

Using this formula, we get:

average value of f on [2, 6] = (1 / (6 - 2)) * ∫(2 to 6) f(x) dx

We now need to evaluate the integral ∫(2 to 6) f(x) dx. Using integration by parts, we can simplify this integral as follows:

∫(2 to 6) f(x) dx = [x(x2+7)sin(5x) + 2(x2+2)cos(5x)] from x=2 to x=6

= [6(100sin30 - 4cos30) + 20cos30 - 2(20sin30 - 8cos30)]/4

= (75√(3) + 25)/2

= 37.5√(3) + 12.5

Therefore, the average value of f on [2, 6] is:

average value = (1 / (6 - 2)) * ∫(2 to 6) f(x) dx

= (1/4) * (37.5√(3) + 12.5)

= 9.375√(3) + 3.125

=  0.722

So the answer is (C) 0.722 (rounded to three decimal places).

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Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

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The polynomial function of the lowest degree that has -5, -2, and 0 as roots is f(x) = (x - 2)(x - 5).

To find the polynomial function of the lowest degree with -5, -2, and 0 as roots, we can use the factored form of a polynomial. If a number is a root of a polynomial, it means that when we substitute that number into the polynomial, the result is equal to zero.

In this case, we have the roots -5, -2, and 0. To construct the polynomial, we can write it in factored form as follows: f(x) = (x - r1)(x - r2)(x - r3), where r1, r2, and r3 are the roots.

Substituting the given roots, we have: f(x) = (x - (-5))(x - (-2))(x - 0) = (x + 5)(x + 2)(x - 0) = (x + 5)(x + 2)(x).

Simplifying further, we get: f(x) = (x^2 + 7x + 10)(x) = x^3 + 7x^2 + 10x.

Therefore, the polynomial function of the lowest degree with -5, -2, and 0 as roots is f(x) = x^3 + 7x^2 + 10x.

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The polynomial function of lowest degree that has –5, –2, and 0 as roots is f(x) = x(x + 2)(x + 5). Each root is written in the form of (x - root) and then multiplied together to form the polynomial.

The question asks for the polynomial function of the lowest degree that has –5, –2, and 0 as roots. To find the polynomial, each root needs to be written in the form of (x - root). Therefore, the roots would be written as (x+5), (x+2), and x. When these are multiplied together, they form a polynomial function of the lowest degree.

Thus, the polynomial function of the lowest degree that has –5, –2, and 0 as roots is f(x) = x(x + 2)(x + 5).

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Answer:

-2.5

Step-by-step explanation:

Using the sine rule, a/sinA = b/sinB.

So, sinB = bsinA/a

substituting sinA = -1, a = 10 and b = 4, we have

sinB = 10 × (-1)/4

= -10/4

= -5/2

= -2.5

Answer:

1. To find the gradient of a line, we can use the slope-intercept form of the equation: y = mx + b, where m is the gradient and b is the y-intercept.

a) To find the gradient of (x+7)/(y-2) = 0, we can first rewrite the equation as y = (2x+14)/(x+7). To find the slope, we can take the derivative of y with respect to x. We get the slope or the gradient of the line as m = 2/(x+7).

b) To find the gradient of the line through (p,5) and (6,2p), we can use the point-slope form of the equation: y - y1 = m(x - x1). We can substitute the coordinates of the two points and solve for m.

y - 5 = m(x - p)

2p - 5 = m(6 - p)

2p - 5 = 6m - mp

mp + 6m = 2p + 5

m(p+6) = 2p + 5

m = (2p+5)/(p+6)

2. To find the equation of a line, we can use the slope-intercept form of the equation: y = mx + b, where m is the gradient and b is the y-intercept.

a) To find the equation of the line with a gradient of 3, passing through (0,5), we can substitute the values into the slope-intercept form.

y = 3x + b

5 = 3(0) + b

b = 5

The equation of the line is y = 3x + 5

3. To find the value of p, if the gradient of the line joining (-1,p) and (p, 4) is 2/3, we can use the point-slope form of the equation: y - y1 = m(x - x1). We can substitute the coordinates of the two points and the gradient, and solve for p.

y - p = (2/3)(x - (-1))

4 - p = (2/3)(p - (-1))

4 - p = (2/3)p + (2/3)

(2/3)p - 4 + p = (2/3)

p = 6

Final Answer: The value of p is 6.

Ranking of the events below in the correct order from least likely to most likely are:

Event B

Event A

Event C

The probability of an event is defined as a number that describes the chance that the event will eventually happen. An event that is sure to happen has a probability of 1. An event that can never possibly happen has a probability of zero. Finally, If there is a chance that an event will happen, then it will have a probability that is between zero and 1.

i) Arrow lands on a section labeled with an odd number: The odd numbers here are 1 and 3.

There are a total of four 1's, and two 3's. This tells us that there are 6 odd numbers on the spinner.

There are 8 numbers in total on the spinner. Thus, 6 out of the 8 numbers are seen as odd numbers. Therefore, the probability that the arrow lands on an odd number would be:

P(odd number) = 6/8 =  75%

ii) Arrow lands on a section labeled with the number 1: There are four 1's on the spinner, and there are seen to be 8 numbers in total on the spinner. Thus, the probability of the arrow landing on a 1 is:

P(Number 1) = 4/8 = 50%.

iii) Arrow lands on a section labeled with a number less than 4:

The numbers that are less than 4 are 3, 2, and 1.

There are two 3's.

There is one 2.

There are four 1's.

2 + 1 + 4 = 7.

The probability of the arrow landing on a number less than 4 is 7/8, which is 88.5%.

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To find the perimeter of the bookcase, we need to add up the lengths of all its sides. The bookcase has four sides: two sides that are 6 feet tall and two sides that are 3.5 feet wide.

The first step is to calculate the total length of the two tall sides. Since there are two sides with equal lengths, we multiply the height (6 feet) by 2: 6 feet * 2 = 12 feet.

Next, we calculate the total length of the two wide sides. Again, since there are two sides with equal lengths, we multiply the width (3.5 feet) by 2: 3.5 feet * 2 = 7 feet.

Finally, we add up the lengths of all four sides to find the perimeter: 12 feet + 7 feet = 19 feet.

Therefore, the perimeter of the bookcase is 19 feet.

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the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

1. f(x) = x^2 + 5x - 6, at (3, 6)

Answer: y = 8x - 21

f'(x) = 2x + 5

f'(3) = 2(3) + 5 = 11

The equation of the line tangent to the function at (3, 6) is y = 11x - b.

Substitute 6 for y and 3 for x to get 6 = 11(3) - b

Solve for b to get b = 21

Therefore, the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

The equation of the line tangent to the function at (3, 6) is y = 8x - 21. This equation is in slope-intercept form, where the slope is 8 and the y-intercept is -21. The slope of the line is equal to the derivative of the function at x = 3, which is 2x + 5 = 11. Therefore, the equation of the line tangent to the function at (3, 6) is y = 8x - 21.

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Answer:

g +  18 = 69

Step-by-step explanation:

Translate this sentence into an equation. Goran's score increased by 18 is 69. Use the variable g to represent Goran's score.

g +  18 = 69

solve:

g +  18 = 69

subtract 18 from both sides:

g +  18 - 18 = 69 - 18

g = 51

If Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes, then the tank will be filled with 4.8 gallons of water after 3 minutes.

As per the question statement, Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes.

We are required to calculate the volume of water in gallons, that will be filled in the above mentioned tank after 3 minutes.

Here, it is given that, the tank gets filled with 0.8 gallons of water in 0.5 minutes, and that, the water flows into the tank at a constant rate.

So first, let us calculate the water flow rate into the tank per minute, that is, [(0.8 * 2) = 1.6 gallons] per minute, since [(0.5 minutes * 2) = 1 minute]

Therefore, the tank will get filled with [(1.6 * 3) = 4.8 gallons] of water in 3 minutes, if the water inflow rate is 1.6 gallons per minute.

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