4. Triangle TRY was reduced to form triangle PIE.
What number best represents the scale factor used
to change triangle TRY to triangle PIE?
OON
T
A
X
1987:6 5 4 3 2 -10
0
2 3 4 5 6 7 8
2
I
-5
- ?
8

Answer:

iii) 50 ° is your answer.

Step-by-step explanation:

I think you just want the answer without explanation

There are 34,560 ways for the DJ to play all 9 songs

If the DJ wants to play all 9 songs in a specific order, taking into account that there are 5 slow songs and 4 fast songs, we can calculate the number of ways using permutations.

Since the first song can be any of the 9 available songs, there are 9 choices. After selecting the first song, there will be 8 songs remaining, and so on.

For the first slow song, there are 5 choices, and for the second slow song, there are 4 choices remaining.

The same applies to the fast songs, with 4 choices for the first fast song and 3 choices for the second fast song.

Therefore, the total number of ways to play the songs in a specific order is:

9 × 8 × 5 × 4 × 4 × 3 = 34,560

So, there are 34,560 ways for the DJ to play all 9 songs if they must be played in a specific order.

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Answer:

5-2x

Step-by-step explanation:

\(\rightarrow\) First side(a) of triangle = 17in.

\(\rightarrow\) Second side(b) of triangle = 13in.

\(\rightarrow\) Perimeter of triangle = 45in.

\(\rightarrow\)Third side of the triangle.

\(\rightarrow\) Perimeter of triangle = sum of all side(a+b+c).

\(\rightarrow\) Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)

\(\rightarrow\) \(\sf{45\: = \: 17+13+c}\)

\(\rightarrow\) \(\sf{45\: = \: 30+c}\)

\(\rightarrow\) \(\sf{45-30\: = \:c}\)

\(\rightarrow\) \(\sf{15in.\: = \: c}\)

Therefore, third side = 15in.

\(\rightarrow\)To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.

\(\rightarrow\) \(\sf{\frac{15}{12}}\)

\(\rightarrow\) \(\sf{1.25feet}\)

________________________________

Hope it helps you:)

Answer:

Side 3 = 1.25 feet

Step-by-step explanation:

Given :

To Find :

Solving :

The expression 4ln(b) + 2 ln(c) - 3 ln(d) can be expressed as a single logarithm as  \(ln((b^4 * c^2)/(d^3)).\)

To express the given expression as a single logarithm, we can use the properties of logarithms, specifically the addition and subtraction properties. Let's break down the expression step by step.

Starting with 4ln(b) + 2 ln(c) - 3 ln(d), we can use the addition property of logarithms to combine the first two terms: \(ln(b^4) + ln(c^2) - 3 ln(d).\)

Next, we apply the subtraction property of logarithms to combine the terms further: \(ln(b^4 * c^2) - ln(d^3).\)

Finally, we can simplify this expression by using the division property of logarithms: \(ln((b^4 * c^2)/(d ^3)).\)

Therefore, the given expression 4 ln(b) + 2 ln(c) - 3 ln(d) can be expressed as a single logarithm as \(ln((b^4 * c^2)/(d^3)).\)

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The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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To prove that r(x) = f'(x + 1) - xl'(x), we can start by examining the definitions of the functions involved and manipulating the expressions.

Let's break down the expression step by step:

Start with the function f(x). The derivative of f(x) with respect to x is denoted as f'(x).

Consider the function f(x + 1).

This represents shifting the input of the function f(x) to the right by 1 unit. The derivative of f(x + 1) with respect to x is denoted as (f(x + 1))'.

Next, we have the function l(x).

Similarly, the derivative of l(x) with respect to x is denoted as l'(x).

Now, consider the expression x * l'(x). This represents multiplying the function l'(x) by x.

Finally, we subtract the expression x * l'(x) from (f(x + 1))'.

By examining these steps, we can see that r(x) = f'(x + 1) - xl'(x) is a valid expression based on the definitions and manipulations performed on the functions f(x) and l(x).

Therefore, we have successfully proven that r(x) = f'(x + 1) - xl'(x).

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Answer:

7/30.. hope this helps..

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

<95141404393>

The annual compound rate of return on this 20-year zero coupon bond is 6%. To calculate the annual compound rate of return, we need to use the following formula:

Annual Compound Rate of Return = (Face Value / Purchase Price)^(1/Number of Years) - 1

Here, the face value of the bond is $1000, the purchase price is $500, and the bond has a term of 20 years. Substituting these values in the above formula, we get:

Annual Compound Rate of Return = (1000/500)^(1/20) - 1

Simplifying this expression, we get:

Annual Compound Rate of Return = 1.06 - 1

Annual Compound Rate of Return = 0.06 or 6%

Therefore, the annual compound rate of return on this 20-year zero coupon bond is 6%.

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Answer:

Yes

Step-by-step explanation:

The missing angle in triangle DER is 42 (as angles in a triangle add up to 180) and the missing angle in TVA (LOKI lol ) is 110 (as angles in a triangle add up to 180) .

Since all angles are equal the triangles must be similar .

Hope this helped and have a good day

Answer:

(fraction=12/100 or 6/50 or 3/25)  (decimal form=0.12)

Step-by-step explanation:

for the decimal form percent means per hundred, so just divide the percent by 100 to get the decimal.

hope this helps!

Answer:

The result is 150 + 1.5d

Step-by-step explanation:

We want to translate the wordings into algebraic expression.

Firstly, we increase 120 by d%

d% = d/100

So increasing 120 by d % means;

120 + (d/100 * 120)

= 120 + 1.2d

Then increase this by 25%

= (120 + 1.2d) + 25/100(120 + 1.2d)

= 120 + 1.2d + (120+1.2d)/4

= 120 + 1.2d + 30 + 0.3d

= 120 + 30 + 1.2d + 0.3d

= 150 + 1.5d

The assumptions been met (0.6581,0.7819).

What is American adults?

In 2020, the U.S. Census Bureau counted 331.4 million people living in the United States; more than three-quarters (77.9%) or 258.3 million were adults, 18 years or older — a 10.1% increase from 234.6 million in 2010.

Given that.

\($$\begin{aligned}& p=0.72 .(1-p)=1-0.72=0.28 \\& n=200 .\end{aligned}$$\)

At \($95 \%$\) confidence level x value is 1.96

z=1.96

So r

A 95 % confidence interval bor percent of American adults who beleive in Aliens is,

\($$\begin{gathered}p \pm 2 \sqrt{\frac{p \times q}{n}} \\\therefore 0.72+1.96 \sqrt{\frac{0.72 \times 0.28}{200}} \\\therefore 0.72 \pm 1.96 \sqrt{0.0010} \\0.72 \pm 0.0619 \\\therefore \quad(0.6581,0.7819)\end{gathered}$$\)

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Answer:

2 is right 4 and 7 that's all I know

Step-by-step explanation:

Answer:

Explanation = The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It's called a “least squares” because the best line of fit is one that minimizes the variance (the sum of squares of the errors).

Step-by-step explanation:

I DON'T HOW ABOUT THE ANSWERS.

BUT I CAN HELP THIS MUCH..

I HOPE THIS HELPS....

THANK U!

Answer:

2(x+3)=2x+6

Step-by-step explanation:

Because You multiply 2*x and 2*3.

The X is a variable and it actually equals to 1. so it's basically 2*1

After you multiply 2*x and 2*3 you will get 2x+6

-6 = 3x - 6y

4x = 4 + 5y

ok

x = (4 + 5y)/4

Substitution

-6 = 3[(4 + 5y)/4] - 6y

-6 = [12 + 15y]/4 - 6y

-6 + 6y = [12 + 15y]/4

-24 + 24y = 12 + 15y

24y - 15y = 12 + 24

9y = 36

y = 36/9

y = 4

x = (4 + 5(4))/4

x = [4 + 20)/4

x = 24/4

x = 6

Solution x = 6, y = 4

The size sample would be needed to estimate the proportion of black with an error of no more than 0.05 and a confidence level of 95% is 289.

The size sample can be calculated with the equation as follows:

\(n=(\frac{Z_{1-\frac{a}{2} }^ }{a})^{2} P (1-P)\)

where,

n = size sample

\(Z_{1-\frac{a}{2} }^{2}\) = 1.96 for \(a\)=0.05

\(P\) = population

\(a\) = margin of error

Therefore,

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(1-0.25)\)

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(0.75)\)

\(n=288.12\) ≈ 289

The number of size sample is 289

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Answer: If the function is F(x) = 1/3(6)x, then for x = 3, we can substitute 3 in for x in the function to find the corresponding output value.

So,

F(3) = 1/3(6)(3)

F(3) = 2

Therefore, the output value of the function F(x) for x = 3 is 2.

Step-by-step explanation:

The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

its the first one

Step-by-step explanation:

The question is incomplete. The complete question is :

Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours  of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?

Solution :

The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.

These variables are the grade point average of the students and the numbers of hours of sleep.

Answer:

10 + (-8)

Step-by-step explanation:

Subtracting is like adding a negative

10 -8

10 + (-8)

Answer: b. 10+(-8)

Step-by-step explanation:

Answer:

y= -x-2

Step-by-step explanation:

Answer:

Always true

Step-by-step explanation:

Three Planes Intersecting in a Line, Three Parallel Planes.

Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

<95141404393>

If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .

A Random Variable is a defined as a variable whose value depends on the outcome of a random event.

Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.

Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.

Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So,  it is a fixed value and not a random variable.

Therefore , The mean of the sample data will be a random variable .

The given question is incomplete , the complete question is

Suppose you take a sample of 50 students from your school and measure their height.  Which one of the following is a random variable?

(a) The true mean height of all students from your school.

(b) The mean of the sampling distribution of mean heights for samples of size 50.

(c) The mean of the sample data.

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The properties of equality used in the equation are subtraction properties and multiplication properties of equality

The complete question is added at the end of the solution

From the complete question, the equation is given as:

(1/3d + 4 = 28)

Start by removing the bracket in the given equation

So, we have

1/3d + 4 = 28

Next, we continue by applying the subtraction properties of equality

This means that we subtract 4 from both sides of the equation.

So, we have:

1/3d + 4 - 4= 28 - 4

Evaluate the difference in the above equation

So, we have

1/3d = 24

Next, we continue by applying the product properties of equality

This means that we multiply both sides of the equation by 3

So, we have:

3 * 1/3d = 24 * 3

Evaluate the products in the above equation

So, we have

d = 72

By looking at the computations above, we can see that we apply the following properties:

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Possible question

Which properties of equality are used in the example shown on the left?

(1/3d + 4 = 28)