The polygons are similar, but not necessarily drawn to scale. Find the value of x.
220
27.5
110
15.8

There are 252 different ways that the combination of 5 heads and 5 tails can occur. The coefficient for this term in the binomial equation is \(\mathrm{10C_x}\)

The binomial theorem is a mathematical result that describes the expansion of the power of a binomial expression. A binomial expression is an expression that consists of two terms, such as (x + y) or (a + b). The binomial theorem states that for any positive integer n, the expansion of the expression (x + y)^n will contain exactly n+1 terms, each of which is a power of x multiplied by a coefficient.

If we want 5H and 5T,hence there are 10 trials.

Hence it is similar to choosing 5 out of 10 or choosing 2 similar sets of 5 each out of 10 in 10C5 ways:

\($\mathrm{10C_5=\frac{10!}{5!(10-5)!}=252}\)

The coefficient is actually the number of ways of choosing the 5 out of 10.

So similarly the coefficient of:

\($\mathrm{coeff(p^xq^{10-x})=10C_x=\frac{10!}{x!(10-x)!}}\)

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20

\(\frac{y-x}{z}\)

\(\frac{64-4}{3}\)

\(64-4=60\)

60 ÷ 3 = 20

Answer: sorry if this is wrong I tried.

Physical factors such as terrain, climate, soil, water bodies, and mineral resources. These factors affect the availability of resources, the suitability of land for agriculture, the accessibility of transportation, and the attractiveness of living conditions.

Human factors such as industries, urbanization, transport, culture, history, and politics. These factors affect the type and scale of economic activities, the availability of services and amenities, the migration patterns and preferences of people, and the distribution of power and wealth.

These factors vary according to the scale of analysis because different regions may have different combinations and interactions of these factors that influence their population distribution. For example, at a global scale, climate may be a major factor that determines where people live, but at a local scale, urbanization may be more important.

Step-by-step explanation:

Using implicit differentiation, we can find ∂z/∂x and ∂z/∂y for the equation x^2 + 4y^2 + 9z^2 = 5.

Implicit differentiation allows us to find the derivatives of variables that are implicitly defined by an equation. To find ∂z/∂x and ∂z/∂y, we differentiate each term of the given equation with respect to x and y, treating z as a function of x and y.

Starting with the equation x^2 + 4y^2 + 9z^2 = 5, we differentiate each term with respect to x:

2x + 0 + 18z * (∂z/∂x) = 0

Simplifying this equation, we isolate (∂z/∂x):

2x + 18z * (∂z/∂x) = 0

18z * (∂z/∂x) = -2x

∂z/∂x = -2x / 18z

∂z/∂x = -x / 9z

Similarly, we differentiate each term with respect to y:

0 + 8y + 18z * (∂z/∂y) = 0

Simplifying this equation, we isolate (∂z/∂y):

8y + 18z * (∂z/∂y) = 0

∂z/∂y = -8y / 18z

∂z/∂y = -4y / 9z

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Answer:

56°

Step-by-step explanation:

The interior angles of a triangle add up to 180.

You would first set up the following problem:

91 + 33 + x = 180

You would now subtract 91 from both sides.

33 + x = 89

You would now subtract 33 from both sides.

x = 56

The value of x is 56 degrees.

Angle of triangle D is 56 degrees.

"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."

We have

Angle sum property of a triangle = \(180^{0}\)

<B + <C + <D =  \(180^{0}\)

⇒ \(91^{0}+33^{0} +x^{0}=180^{0}\)

⇒ \(x^{0}=180^{0}-91^{0}-33^{0}\)

⇒ \(x^{0}=56^{0}\)

The value of x is 56 degrees.

Hence, angle of triangle D is 56 degrees.

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To find the velocity of a particle with the given position function, we need to take the derivative of the position function with respect to time. So:
Consider the position function r(t) = (t⁵ + 5, t⁸, t⁵ - 4).
(a) To find the velocity of a particle with the given position function, differentiate each component of the position function with respect to time (t):
v(t) = (dr/dt, dr/dt, dr/dt) = (5t⁴, 8t⁷, 5t⁴)
(b) To find the acceleration of a particle with the given position function, differentiate each component of the velocity function with respect to time (t):
a(t) = (dv/dt, dv/dt, dv/dt) = (20t³, 56t⁶, 20t³)
(c) To find the speed of a particle with the given position function, compute the magnitude of the velocity vector:
|v(t)| = sqrt((5t⁴)² + (8t⁷)² + (5t⁴)²) = sqrt(25t⁸ + 64t¹⁴ + 25t⁸)
|v(t)| = sqrt(50t⁸ + 64t¹⁴)

Therefore, by the above calculation, we get the observation as follows:
(a) The velocity of a particle with the given position function is v(t) = (5t⁴, 8t⁷, 5t⁴).
(b) The acceleration of a particle with the given position function is a(t) = (20t³, 56t⁶, 20t³).
(c) The speed of a particle with the given position function is |v(t)| = sqrt(50t⁸ + 64t¹⁴).

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Answer:

75x24 is...

Step-by-step explanation:

The volume of the sphere is the amount of space in it, and the value closest to the radius is 3.5 cm

The volume is given as:

V = 179.6

The volume is calculated using:

V = 4/3πr³

So, we have:

4/3πr³ = 179.6

Multiply both sides by 3/4

πr³ = 134/7

Divide both sides by π

r³ = 42.88

Take the cube root of both sides

r = 3.5

Hence, the value closest to the radius is 3.5 cm

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Answer:

(-80 + 70i)

Step-by-step explanation:

80i - ( 80+10i)

Distribute the minus sign

80i -80 -10i

Combine like terms

-80 +80i -10i

-80 + 70i

Answer:

Step-by-step explanation:

Given that,

(80i)-(80+10i)

we have to express it in the form of (a+bi)

so,

Here,

a=-80

b=70

Using the elimination method, the solution to the system of linear equations is: x = 4.5 and y = -5.

Solving a system of linear equations by elimination involves eliminating one of the variables, then solve to find the other variable.

Given the equations:

6x + 5y = 2 --> eqn. 1

4x + 2y = 8 --> eqn. 2

Multiply eqn. 1 by 2 and eqn. 2 by 5:

12x + 10y = 4 --> eqn. 3

20x + 10y = 40 --> eqn. 4

Subtract

-8x = -36

x = 4.5

Substitute x = 4.5 into eqn. 2

4(4.5) + 2y = 8

18 + 2y = 8

2y = 8 - 18

2y = -10

y = -5

The solution is: x = 4.5 and y = -5.

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Answer:

2.

2x+3y=45

x+y=16

3.

x+y=383

4x+6y=2034

4.

y=2x+11

x+y=53

5.

2x+5y=16

5x+2y=19

Step-by-step explanation:

Answer:

Um excuse me u answered my question without answering my question so here we r

Step-by-step explanation:

The line integral ∫e^t dx along the line Segment C is equal to 0.

(a) To evaluate the line integral ∫ds along the line segment C from (0,2) to (0,4), we can use the formula for the arc length of a curve in two dimensions.

The formula for the arc length of a curve defined by a vector-valued function r(t) = (x(t), y(t)) on an interval [a, b] is given by:

L = ∫ √(dx/dt)^2 + (dy/dt)^2 dt

In this case, since the line segment C is a straight line parallel to the y-axis, the x-coordinate remains constant at x = 0. Therefore, dx/dt = 0 for all t.

The y-coordinate varies from y = 2 to y = 4 along C, so dy/dt = 2. Integrating √(dx/dt)^2 + (dy/dt)^2 over the interval [a, b] where a and b are the parameter values corresponding to the endpoints of C, we get:

∫ds = ∫ √(dx/dt)^2 + (dy/dt)^2 dt

= ∫ √0 + 2^2 dt

= ∫ 2 dt

= 2t + C

Evaluating this integral over the interval [a, b] = [0, 1], we get:

∫ds = 2t ∣[0,1]

= 2(1) - 2(0)

= 2

Therefore, the line integral ∫ds along the line segment C is equal to 2.

(b) To evaluate the line integral ∫e^t dx along the line segment C, we can use the fact that dx = 0 since the x-coordinate remains constant at x = 0 Therefore, ∫e^t dx = ∫e^t * 0 dt = 0.

Hence, the line integral ∫e^t dx along the line segment C is equal to 0.

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Answer:

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

Multiply the two numbers first:

Round the number to the first digit:

Write 80000000 as the product of a single digit and a power of 10:

As per the temperature, the population of Salmonella bacteria in the salad will double approximately every 2.87 hours if the conditions for growth remain constant.

The population of Salmonella bacteria can increase over time if they have the necessary nutrients and temperature for growth. In this case, we have a cutting board contaminated with Salmonella bacteria, which ends up in a salad. The number of bacteria present in the salad after t hours is given by the formula S(t) = 250 x 6t, where t is the time in hours.

To understand how often the population of bacteria doubles, we need to look at the growth rate of the bacteria.

To calculate the doubling time, we can use the formula Td = ln(2) / r, where Td is the doubling time, ln is the natural logarithm, and r is the exponential growth rate. In this case, the growth rate can be found by taking the derivative of S(t) with respect to t, which gives us r = 6ln(6).

Plugging in the values, we get Td = ln(2) / 6ln(6) = 2.87 hours

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The amount A earned at the end of a given period t for an interest compounded annually is expressed as

Account 1:

Amount deposited = 10000. thus, P = 10000

r = 4% = 0.04

Since the interest is compounded annually, n= 1

t = 3.

Thus, the amount in account 1 after 3 years is evaluated as

The amount earned at the end of 3 years in account 1 is $ 11248.64

Account 2:

P =10000

r = 3% = 0.03

n =1

t = 3

Thus, the amount in account 2 after 3 years is evaluated as

The amount earned at the end of 3 years in account 2 is $ 10927.27

How much more will be in account 1 than account 2:

Hence, there will be $ 321.37 in account 1 than account 2.

According to the given standard deviation, the engineer would need a sample size of at least 75 wires to estimate the mean length to within 0.025 feet with 99% confidence.

To estimate the mean length of the wires being cut, the engineer needs to determine the sample size needed to achieve a certain level of confidence and level of precision. In this case, the engineer wants to estimate the mean length to within 0.025 feet with 99% confidence. This means that there is a 99% chance that the true population mean falls within the estimated range.

To determine the sample size needed, the engineer can use a formula that takes into account the desired level of confidence, level of precision, and the standard deviation of the population. The formula is:

n = (z² x s²) / E²

Where:

n = sample size needed

z = z-score for desired level of confidence (99% = 2.58)

s = standard deviation of the population (0.15 feet)

E = level of precision (0.025 feet)

Plugging in the values, we get:

n = (2.58² x 0.15²) / 0.025²

n = 74.83 ≈ 75

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Answer:

Plan ahead for medical expenses.

Spend your money.

Save your receipts.

Use your FSA to pay expenses your health plan doesn't cover.

Use your FSA to reach health plan financial milestones.

Know what your FSA covers.

Know your FSA balance.

Step-by-step explanation:

Answer:

Okay so I just took the FSA and my biggest tip is  to just relax and don't overthink. Another tip that is kinda weird is to  chew gum/mint. They normally hand it out to you but stopped for coronavirus.  It helps you focus and it helps calm you. Make sure you double check your answers and if you don't know a question go back over it and re read it.  Also pay attention to other questions because sometimes a question from the same passage helps you with a previous one.  You're going to do well and good luck!

Step-by-step explanation:

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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Answer: (-2,1)

Step-by-step explanation: Easy stuff

Answer:

What inequality am I suppose to look at

Step-by-step explanation:

I suppose you may add an screenshot of the inequality please and thank you.

Answer:

A. 2 lines

Step-by-step explanation:

Just did it on Acellus

Figure constitute 2 lines.

A line is a part of line that is bounded by two distinct end point, and contains every point on the line is between its endpoint.

option d) 2 lines will be described in  the figure

PQ is already a line . Since , a point let say R is 4 unit away from that line , then this will constitute another line which is 4unit away from PQ.

Hence , figure constitute 2 lines.

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The equation Y=-3x-1 represents a linear relationship between x and y, and can be used to model real-world situations such as distance vs. time or cost vs. quantity.

The equation Y=-3x-1 represents a straight line on a coordinate plane. The "slope-intercept" form of the equation is y=mx+b, where m is the slope and b is the y-intercept.

In this case, the slope is -3 and the y-intercept is -1. This means that the line goes downwards at a rate of 3 units for every 1 unit to the right, and intersects the y-axis at -1.

To find the solution to this equation, you would need to have a specific value for either x or y.

If you were given a value for x, you could plug it into the equation to find the corresponding value for y. If you were given a value for y, you could solve for x by rearranging the equation.

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The equation that represents the result of solving the formula of the circumference for b is b = √((C/(27π))^2 - a^2).

To solve the formula for the circumference of an ellipse, C = 27π√(a^2 + b^2), for b, we need to isolate the variable b on one side of the equation.

Starting with the equation C = 27π√(a^2 + b^2), we can rearrange it step by step to solve for b:

Divide both sides of the equation by 27π: C/(27π) = √(a^2 + b^2).

Square both sides of the equation to eliminate the square root: (C/(27π))^2 = a^2 + b^2.

Rearrange the equation to isolate b^2: b^2 = (C/(27π))^2 - a^2.

Take the square root of both sides to solve for b: b = √((C/(27π))^2 - a^2).

Therefore, the equation that represents the result of solving the formula of the circumference for b is b = √((C/(27π))^2 - a^2).

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The correct answer is: option D. Bus 18, with a median of 12.

To determine which bus typically has the faster travel time, we need to compare the measures of center of the two sets of data. The measure of center that we use depends on the shape of the data. In this case, since the data is not symmetric, we should use the median as the measure of center.

Looking at the line plots, we can see that the median travel time for Bus 14 is approximately 14 minutes (the value with four dots above it), while the median travel time for Bus 18 is approximately 12 minutes (the value with two dots above it).

Since the median is less affected by extreme values than the mean, it is a more appropriate measure of center for this data. Therefore, we can conclude that Bus 18 typically has the faster travel time, with a median of 12 minutes, compared to Bus 14's median of 14 minutes.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

LOOK BELOW: USE FORMULA WHL WIDTH X HEIGHT X LENGTH

Step-by-step explanation:

4 IN, 3IN, 6IN =72 IN CUBED

6IN, 3IN, 2IN= 36 IN CUBED

4IN, 5IN, 4IN= 80 IN CUBED

2IN, 9IN, 3IN= 54 IN CUBED

Answer:

88 in

Step-by-step explanation:

find the area of each shape individually

triangles - 3x8=24 and you don't have to divide by 2 because there's 2 triangles.

rectangles - 8x4x2=64 you multiply by 2 because there are 2 rectangles.

then you add the rectangles and triangles together.

Answer:

88 (is the total area since I did not really get what you were asking)

Step-by-step explanation:

The question is basically asking to find the rectangle and triangle and then multiply both by 2.

Find the rectangle:

4 x 8 = 32

Find the triangle:

7 - 4 = 3

3 x 8/2 = 12

Multiply by 2:

32 x 2 = 64

12 x 2 = 24

Add the two up..

64 + 24 = 88

Hope this helps :)