a has the coordinates (–4, 3) and b has the coordinates (4, 4). if do,1/2(x, y) is a dilation of △abc, what is true about the image △a'b'c'? check all that apply.
AB is parallel to A'B'.
DO,1/2(x, y) = (1/2x, 1/2y)
The distance from A' to the origin is half the distance from A to the origin.
The vertices of the image are farther from the origin than those of the pre-image.
A'B' is greater than AB.

Answer:

16.71

Step-by-step explanation:

best answer?

Answer:

1/3

Step-by-step explanation:

1+4+68999

Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

The most appropriate answer would be option a) "Confounding is likely to be a problem in the interpretation of these results."

Now, let's consider the 95% confidence interval (CI) provided as (0.8, 3.8). A confidence interval is a range of values within which the true population parameter (in this case, the risk ratio) is likely to fall. The lower and upper bounds of the confidence interval in this case are 0.8 and 3.8, respectively.

Confounding refers to the presence of an extraneous factor that is associated with both the exposure and the outcome and can distort the observed association.

In this situation, since the confidence interval includes the null value of 1 (i.e., 1 is within the range), it suggests that the observed association may not be statistically significant.

A statistically significant result means that the observed association is unlikely to have occurred due to chance alone.

Therefore, option a) "Confounding is likely to be a problem in the interpretation of these results" is a reasonable conclusion.

Hence the correct option is (a).

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Complete Question:

What can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8, 3.8)

a) Confounding is likely to be a problem in the interpretation of these results,

b) This estimate had a P value that was at or below 0.05.

c) There is a clear and strong association between the exposure and the health outcome understudy.

d) None of the above.

Answer:

2nd is the correct answer for your question

Answer: 375

Step-by-step explanation:

2/3 of x= 250

250 x 3=750

750//=375

They need a minimum of 375 students in order to keep the venue,

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, So far two-thirds of the seniors bought prom tickets. if they need a minimum of 250 people to attend in order to keep the venue.

Assuming they need a minimum of x people.

∴ (2/3)x = 250.

2x = 750.

x = 375.

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Answer:

17 is already a simplest form so you can do a decemil form 0.17

Step-by-step explanation:

Answer:

10.68 miles

Step-by-step explanation:

17 mile radius = 34 mile diameter

34 mile diameter x 3.14 = circumference = 106.82 miles

Pi/5 radians = 36 degrees

36(106.82)/360 = 10.68 miles

Answer:

the answer for your problem should be (1,2)

Answer:

b

Step-by-step explanation:

Answer:

A total of four people

Step-by-step explanation:

Answer:

4

Step-by-step explanation

divide 19.24 from 76.96.

and that gives you how many friends

The simplified expression is  \(12u^8\).

What is simplification?

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.

Here the given expression is ,

=> \(-2u^5(-6u^3)\)

Now simplifying the expression,

=> \(-2\times -6 \times u^5 \times u^3\)

=> 12\(u^{5+3}\)

=> \(12u^8\)

Hence the simplified expression is  \(12u^8\).

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Answer:

                 calories

Breakfast: 670  

Lunch:      555

Dinner:     910

Total = 2135 calories

Step-by-step explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:  

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

------

We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

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

CHECK

Does B + L + D = 2135 calories?

  670 + 555 + 910 = 2135?

 2135 = 2135?   YES

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

how are you how many years

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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The height of the pendulum can be modeled by the function h(t) = cos(2πt / 3), where t is the time in seconds.

Let's model the height of the pendulum using a cosine function. The angle between the pendulum's widest swing and the vertical hanging position is π/3 (60 degrees). The length of the rope is 4 m, and the height of the ceiling is 5 m.

Calculate the horizontal displacement (x) of the pendulum at its widest swing:

Using trigonometry, we can calculate the horizontal displacement as follows:

x = L × sin(angle)

x = 4 × sin(π/3)

x = 4 × √3/2

x = 2√3 m

Calculate the vertical displacement (h) of the pendulum at its widest swing:

The vertical displacement is the difference between the height of the ceiling and the height of the pendulum at its widest swing. Since the pendulum is initially at rest in the vertical hanging position, the height of the pendulum at its widest swing is equal to the length of the rope (L).

h = ceiling height - L

h = 5 - 4

h = 1 m

Determine the period (T) of the pendulum:

The period (T) is the time taken for one complete swing. In this case, it is given as 3 seconds.

Use the cosine function to model the height of the pendulum as a function of time:

The height (h) of the pendulum can be modeled using the cosine function:

h(t) = A × cos(2πt / T) + C

Where:

A is the amplitude of the pendulum's swing, which is equal to the vertical displacement at its widest swing (h = 1 m).

t is the time.

T is the period of the pendulum (T = 3 seconds).

C is the vertical displacement from the vertical hanging position (C = 0 since we consider vertical to be t = 0).

Substituting the values into the cosine function, we can model the height of the pendulum as a function of time:

h(t) = 1 × cos(2πt / 3) + 0

h(t) = cos(2πt / 3)

This equation represents the height of the pendulum at any given time (t) in seconds, considering the vertical position as t = 0.

So, the height of the pendulum can be modeled by the function h(t) = cos(2πt / 3), where t is the time in seconds.

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Question

A pendulum is connected to a rope 4 m long, which is connected to a ceiling 5 m high. The angle between its widest swing and vertical hanging position is π/3. If the pendulum swings out to its widest position in 3 seconds, model the height of the pendulum using a cosine function, considering vertical to be t = 0.

Answer:

45677 is the answer

Step-by-step explanation:

hope it helps you!

Answer:

I'm not a hundred percent sure if this is right but I got 45,006.77

Step-by-step explanation:

Answer:

The answer is 0.

Step-by-step explanation:

10q-10q can be subtracted due to the fact that they have the same variable, the answer would be zero as you are decreasing both by the same amount.

Answer:

\(0\)

Step-by-step explanation:

Let's simplify step-by-step.

\(10q -10q\)

\(=10q+-10q\)

\(= 0\)

a) We need a sample size of 96 for each group to estimate μ1 - μ2 with a sampling error of 3.2 and 95% confidence, given that σ1 = 15 and σ2 = 17. b) We need a sample size of 405 for each group to estimate μ1 - μ2 with a sampling error of 8 and 99% confidence, given that the range of each population is 60.

a) For a 95% confidence interval and a sampling error of 3.2, the formula for the margin of error is:

ME = z* (σ/√n)

where z* is the z-score corresponding to a 95% confidence level, σ is the common standard deviation (assumed to be the average of σ1 and σ2), and n is the sample size for each group.

Rearranging the formula to solve for n, we get:

n = (z* σ / ME)²

Substituting z* = 1.96 (from the z-table for a 95% confidence level), σ = (15 + 17) / 2 = 16, and ME = 3.2, we get:

n = (1.96 × 16 / 3.2)² = 96.04

Since we need to estimate μ1 - μ2, we need the same sample size for both groups, so n1 = n2 = 96.

Therefore, we need a sample size of 96 for each group to estimate μ1 - μ2 with a sampling error of 3.2 and 95% confidence, given that σ1 = 15 and σ2 = 17.

b) For a 99% confidence interval and a sampling error of 8, the formula for the margin of error is still:

ME = z* (σ/√n)

where z* is the z-score corresponding to a 99% confidence level, σ is the common standard deviation (assumed to be the same for both populations), and n is the sample size for each group.

Since the range of each population is 60, the standard deviation of each population can be estimated as:

σ = range / (2 × z*)

where z* is the z-score corresponding to a 99% confidence level, which is 2.58.

Substituting σ = 60 / (2 × 2.58) = 11.56, ME = 8, and z* = 2.58 into the formula for the margin of error, we get:

8 = 2.58 × (11.56 / √n)

Solving for n, we get:

n = ((2.58 × 11.56) / (8 / √n))²

Simplifying and solving for n, we get:

n = 405.62

Since we need the same sample size for both groups, we need n1 = n2 = 405.

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Answer:

the third one

Step-by-step explanation:

We have A(8.9) and B(x,y)

so vector AB(x-8,y-9)

Then :

10= \(\sqrt{(x-8)^{2}+(y-9)^{2} }\)

10 = square root[quantity of x minus 8 all squared + y minus 9 all squared]

So,

Option "C" is the correct answer to the following question.

Step-by-step explanation:

Given:

Distance of segment AB = 10 Unit

Coordination of A = (8 , 9)

Find;

Equation to find Coordination of B

Computation:

Distance of segment = \(\sqrt{(x1 - x2)^2 + (y1 - y2)^2}\)

So,

\(10 = \sqrt{(x - 8)^2 + (y - 9^2)}\)

Or

10 = square root[quantity of x minus 8 all squared + y minus 9 all squared]

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Answer: A or B is your best choice

Step-by-step explanation: the last 2 are not correct because they were not real numbers stated in the question it's talking about negative numbers for X.

Answer:

Step-by-step explanation:

Let's see. The last two options don't make a whole lot of sense. The range of the graph is not all real numbers because you don't see y coordinates of the graph that are negative. The domain and range are not the same because the domain is mostly negative numbers whereas the range is just mostly positive numbers. The first option, The range of the graph is all real numbers less than or equal to 0, does not make sense because if it was less than zero, values like -5 or -100 would exist for the y coordinates. However, in this case, you can see that all of the y coordinates are positive.

Therefore, the answer is "The domain of the graph is all real numbers less than or equal to 0" or the second option.

Answer:

y= -3x+1

Step-by-step explanation:

y=mx+b

find m: (y2-y1)/(x2-x1)

pick any two points: (-1,4) and (0,1)

plug them in: (4-1)/(-1-0)= -3=m

b is the y intercept which is 1=b

plug these into the equation for a line y=mx+b

y=-3x+1

To maximize the revenue store should charge rental fee of $7 for a movie .

Let x be the number of $1 increases in the rental fee

Let p(x) be the price of renting a movie after x increases,

And let q(x) be the quantity of movies rented per week after x increases.

The rental fee is $3, we have q(0) = 55.

For each additional $1 increase in the rental fee, the store loses 11 rentals per week.

This means that,

q(x) = q(0) - 11x

The revenue generated from renting movies per week is equal to the price per movie times the number of movies rented,

R(x) = p(x)q(x)

Maximize the revenue with respect to x.

Express R(x) in terms of p(x),

Take the derivative with respect to p(x),

R(x) = p(x)q(x)

      = p(x)(55 - 11x)

      = 55p(x) - 11x p(x)

Taking the derivative with respect to p(x), we get,

d(R)/d(p(x)) = 55 - 11x

Setting this equal to zero, we get,

⇒55 - 11x = 0

⇒x = 5

Store should increase the rental fee by $5.

The new rental fee would be,

p(5) = $3 + $5

       = $8

And the quantity of movies rented per week would be,

q(5) = 55 - 11(5)

       = 0

Since the quantity of movies rented per week would be zero.

If the rental fee is increased by $5,

⇒ store should not increase the rental fee by that much.

Instead, the store should increase the rental fee by $4,

so the new rental fee would be,

p(4) = $3 + $4

      = $7

And the quantity of movies rented per week would be,

q(4) = 55 - 11(4)

       = 11

Therefore, the store should charge $7 per movie to maximize their revenue.

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Answer:

D

Step-by-step explanation:

(f-g)(x) = 3ˣ  + 10x - (5x - 3)

          = 3ˣ + 10x - 5x  + 3    {Combine like terms}  

          = 3ˣ + 5x + 3

Answer:

d

Step-by-step explanation:

Answer:

I think its Your Values, but try and a get a second opinion

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

\(x^2 = 3x - 2\)

Now let us solve for x;

\(x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A\)

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

The possibilities to complete a 5-row garden, Brad would need 40 columns.

To determine the number of columns needed for a 5-row garden, we can use the concept of proportional reasoning. We know that the number of rows and columns must be in proportion to maintain a grid-like pattern.

Given that 8 rows require 25 columns and 10 rows require 20 columns, we can set up a proportion to find the number of columns needed for 5 rows:

8 rows / 25 columns = 5 rows / x columns

Cross-multiplying, we get:

8x = 25 * 5

8x = 125

Dividing both sides by 8:

x = 125 / 8

x ≈ 15.625

Since we are dealing with whole numbers of columns, we round up to the nearest whole number. Therefore, to complete a 5-row garden, Brad would need 16 columns.

To complete a 5-row garden, Brad would need 40 columns.

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The system of equations we have is

Now, to find the aumented matrix, we have to have all of the variables in each equation on one side, for this in the first equation we add 1 to both sides of the equation:

And for the second equation we need to add 8y to both sides and substract 2 from both sides (this is to have variables on the left and independent number on the right):

Now, the system is left as follows

We represent this a matrix with the following form:

The first line will represent the first equation

The second line will represent the second equation

And the first column will be the x values, and the second column the y values:

I will expand on the meaning of this in the following diagram:

That last one is the aumented matrix of the system.

Answer:

Step-by-step explanation:

Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return

The slope of a line segment represent in the context of this situation is the total wages for the week.

We have seen lines drawn on the coordinate plane in geometry. The best approach to determine without using any geometrical tools if the lines are parallel, perpendicular, or at any angle is to measure the slope.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the

x-coordinate are denoted by y and x, respectively.

Thus, the formula for the change in y-coordinate with regard to the change in x-coordinate is

\(m=\frac{y}{x} =\frac{change \ in \ y}{change\ in\ x}\)

You are a crew at a Convenience store that pays an hourly wage $ 7 and 1.5 times the hours wage for the extra hours if you work for more than 40 hours a week. Write a piecewise function that gives the weekly pay P in term of the number of hours h your work.

→ wages for 1 hours = $ 7

So,

we can say that, wages for 40 hours, = 7 x 40 = 280 .

Therefore,

→ Total wages of week is = 280.

Piecewise function is :-

P(h) = 280 , where h ≤ 40.

Now, we have given that, store gives 1.5 times the hours wage for the extra hours if you work for more than

40 hours a week.

So,

→ wages per hour now = 1.5 x 7 = 10.5 .

Therefore,

→ Total wages of week

= 280 + 10.5(h - 40)

= 280 + 10.5h - 420

= 10.5h - 140.

and,

Piecewise function that gives the weekly pay P in term of the number of hours h your work is:

P(h) = 280 + 10.5(h - 40), where [h > 40].

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