ABC is similar to DEF Find and use the scale factor to determine the perimeter and area of DEF

Answer:

4,2 is tge answer due to the interaction point plus it says the solution is at the interaction.

Answer:

C. I think

Step-by-step explanation:

Answer:

Hey! I'll only help with a few..

Step-by-step explanation:

2. 2c(7c+1)

3. The expression is not factorable with rational numbers.

4. 2x^3y^2(4-11 x^2y^4)

Hope this helps!

Have a nice day!♥

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

Below

Step-by-step explanation:

3.15 can be read as  3 and 15 hundredths =   3   15/100  = 3  3/20

Answer:  63/20

Step-by-step explanation:

Anya her distance back to camp and the bearing angle from her starting point is 4.78 km North 26.3° West.

Define direction ?

Direction gives the information about the way towards which an object moves or tends.

The angle formed by the 2 km and 3 km is the supplement of the 35 ° angle west of north;

  180°- 35° = 145°

We know that the length of two sides and one angle.

The opposite side know angle is the direct distance between the starting and ending points.

Using the law of cosines.

\(a^{2} = b^{2} + c^{2} - 2bc (cosA)\)

\(a^{2} = 2^{2} + 3^{2} - 2(2)(3)(cos 145)\)

\(a^{2} = 4 + 9 - 12 (-0.8192)\)

\(a^{2} = 22.83\)

a = 4.78 km

To determine the bearing from the starting point , we must determine the angle between the first leg and the direct path.

Using the law of sines

\(\frac{4.78}{sin(145)} = \frac{3}{sin C}\) sin(145°)

4.78 sin C = 3 sin 145°

sin C = \(\frac{3 sin (145^ 0)}{4.78}\)

sin C = 0.4438

C = 26.3°

Therefore, the distance and bearing of the end point from the starting point is 4.78 km North 26.3 ° West.

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Answer:

The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

Step-by-step explanation:

A normal-distribution is an accurate symmetric-distribution of experimental data-values.  

If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.  

If X \(\sim\) N (µ, σ²), then \(Z=\frac{X-\mu}{\sigma}\), is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \(\sim\) N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

Answer:

B (-infinity-1] U [2,3]

Step-by-step explanation:

Edge

Answer:129.7

Step-by-step explanation:

Literally just used a calculator but if you need explanation lmk

To solve this problem, we need to use vector addition to find the resultant velocity of Julia.

Let's assume that the east direction is the positive x-axis and the south direction is the negative y-axis.

The velocity of Julia in still water is 8 km/hr in the positive x-axis direction.

The velocity of the river is 3 km/hr in the negative y-axis direction.

To find the magnitude and direction of Julia's velocity, we need to find the resultant velocity vector, which is the vector sum of her velocity in still water and the velocity of the river.

Using the Pythagorean theorem, the magnitude of the resultant velocity can be calculated as:

|V| = √(Vx² + Vy²)

where Vx is the x-component of the resultant velocity and is equal to Julia's velocity in still water, and Vy is the y-component of the resultant velocity and is equal to the velocity of the river.

Vx = 8 km/hr

Vy = -3 km/hr

|V| = √(8² + (-3)²) = √(64 + 9) = √73 km/hr

The direction of the resultant velocity can be calculated as:

θ = tan⁻¹(Vy / Vx)

θ = tan⁻¹(-3 / 8) = -20.56°

The negative sign indicates that the resultant velocity vector makes an angle of 20.56° below the positive x-axis (east direction).

Therefore, the magnitude of Julia's velocity is approximately 8.54 km/hr, and the direction of her velocity is 20.56° below the positive x-axis (east direction).

Answer:

The equation of the line is:

\(y = -\frac{1}{2}x + 3\)

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

\(y = mx + b\)

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

\(2m = -1\)

\(m = -\frac{1}{2}\)

So

\(y = -\frac{1}{2}x + b\)

Passing through the point (-4,5)

This means that when \(x = -4, y = 5\). We use this to find b.

\(y = -\frac{1}{2}x + b\)

\(5 = -\frac{1}{2}(-4) + b\)

\(2 + b = 5\)

\(b = 3\)

The equation of the line is:

\(y = -\frac{1}{2}x + 3\)

Answer:

If the slashes mean divisions and the x means multiplication, the answer would be 25a²/4/5

Answer: 3.5

Step-by-step explanation:

Since 10% x 10 = 100%

So we have to do 35 ÷ 10

35 ÷ 10 = 3.5

In conclusion, 10% of 35 = 3.5

Hope this helps!

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Answer:

domain (x), we include values [-4, 3]

range (y), we include values [-3, 4]

Step-by-step explanation:

The domain is the possible x-values of a function, the range is the possible y-values of a function.

On this graph, only x-values -4 to 3 have y-values / have a value on this graph.

And on this graph, only y-values  -3 to 4 have values graphed/have an x-value.

When writing range and domain, we write (minimum, maximum)

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

**We use ( ) when not including a value

and [ ] when including a value.

(For example, if a line extends to infinity, that must be put in parentheses because you can never reach /include infinity)

(Parentheses are like > and <)

[Brackets are like ≥ and ≤]

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

So, for range (y), we include values [-3, 4]

And for domain (x), we include values [-4, 3]

(If you're having trouble remembering which is which, I remember alphabetically. D comes before R, and X comes before Y. Making D go with X and R go with Y.)

Hope this helps!!

The after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes

Given that money market account investment at 2.55 percent​ (APY), a ​1.11 % inflation​ rate, a 28 percent marginal tax​ bracket, and a constant ​$60000 ​balance.

Cash management is the backbone of any business. Cash management ensures that the company operates according to established standards and optimizes the use of funds to avoid wasting resources. Liquidity management decisions are therefore key to preserving a company's capital and profitability.

Firstly, we will find the after-tax return rate, we get

After-tax return rate= Before tax rate of return \times ( 1 - tax rate)

After-tax rate of return = 0.0255× ( 1 - 0.28)

After-tax rate of return = 0.0255×0.72

After-tax rate of return=1.84%

Now, we will find the real return, we get

Real  return=((1+After-tax Return)/(1+inflation rate))-1

Real return=((1+0.0184)/(1+0.0111))-1

Real return=(1.0184/1.0111)-1

Real return=1.00721-1

Real return=0.721%

Furthermore, we will find the total monetary return, we get

Total monetary rate=Balance×Before tax rate of return

Total monetary rate=60000×2.55%

Total monetary rate=$1530.

The implications of this result for cash management​ decisions is that it becomes very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.

Hence, the after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.

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Answer:

there are 45 pages in the book

Step-by-step explanation:

If Joe has read 40% of the book, then he has 60% of the book left to read. Let's let "x" represent the total number of pages in the book.

If Joe has 18 pages left to read, that means he has already read:

0.6x = x - 18

Solving for x, we get:

0.4x = 18

x = 45

Therefore, there are 45 pages in the book.

The true statement, regarding the signal of the graphed function, is given by:

F(x) > 0 over the interval (–∞, –4).

Looking at it's graph, we have that:

Researching this problem on the internet and looking at the graph of the function, the function is negative for all values to the right of x = -4,  and positive to the left, hence the correct statement is given by:

F(x) > 0 over the interval (–∞, –4).

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The solution for the given expression is 16.

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

First, you apply the Power Rules - Power for  \((\frac{2^2x^2y}{xy^3} )^2}\). For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:\(\frac{16x^4y^2}{x^2y^6}\).

After that, you should apply the  Power Rules - Division . For this rule, you should repeat the base and  subctract the exponents. Thus, the result will be:\(\frac{16x^2}{y^4}\).

Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:\(\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16\)

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Answer:

0.50%

Step-by-step explanation:

Answer: The given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

Given : Expression (3x − 5) − (4x + 6).

We have to simplify the given expression.

Consider the given expression (3x − 5) − (4x + 6).

Remove Parentheses ,

we have,

(3x − 5) − (4x + 6) = 3x - 5 - 4x -6

Combining like terms, we have,

LIKE TERMS are terms having same variable with same degree.

here 3x and -4x are like term  and -5 and -6 are like terms,

Simplify, we have,

= 3x - 4x - 5 - 6

= -x - 11

Thus, the given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

hope this helps have a nice day❤️❤️❤️❤️

Answer: The given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

Given : Expression (3x − 5) − (4x + 6).

We have to simplify the given expression.

Consider the given expression (3x − 5) − (4x + 6).

Remove Parentheses ,

we have,

(3x − 5) − (4x + 6) = 3x - 5 - 4x -6

Combining like terms, we have,

LIKE TERMS are terms having same variable with same degree.

here 3x and -4x are like term  and -5 and -6 are like terms,

Simplify, we have,

= 3x - 4x - 5 - 6

= -x - 11

Thus, the given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

hope this helps have a nice day and god bless u ❤️❤️❤️❤️

\(\text{First term,}~ a = 8\\\\\text{Common ratio,}~ r= \dfrac{32}8 = 4\\\\\text{nth term} = ar^{n-1} \\\\\text{9th term} = 8\cdot 4^{9-1}\\\\\\~~~~~~~~~~~~~=8 \cdot 4^8\\\\\\~~~~~~~~~~~~~=524288\\\\\text{The 9th of the geometric sequence is 525288.}\)

Answer:

1) The velocity at this time is of \(-9\frac{\sqrt{3}}{2}\) meters per second.

2) The velocity at this time is of \(13\frac{\sqrt{2}}{2}\) meters per second.

Step-by-step explanation:

This question involves concepts of derivatives.

The velocity is the derivative of the position.

We use these following derivatives:

\((\sin{x})^{\prime} = \cos{x}\)

\((\cos{x})^{\prime} = -\sin{x}\)

1) s = 1 + 9(cos t)

Find the body's speed at time t=pi/3 sec.

We have to find the derivative at \(t = \frac{\pi}{3}\). So

\(v = (1 + 9\cos{t})^{\prime} = -9\sin{t}\)

\(v(\frac{\pi}{3}) = -9\sin{\frac{\pi}{3}}\)

\(\frac{\pi}{3}\) is a common angle, which has a sine of \(\frac{\sqrt{3}}{2}\). So

\(-9\sin{\frac{\pi}{3}} = -9\frac{\sqrt{3}}{2}\)

The velocity at this time is of \(-9\frac{\sqrt{3}}{2}\) meters per second.

2) s = 12(sin t) - (cos t)

Find the body's velocity at time t=pi/4 sec.

We have to find the derivative at \(t = \frac{\pi}{4}\). So

\(v = (12\sin{t} - \cos{t})^{\prime} = 12\cos{t} + \sin{t}\)

\(\frac{\pi}{4}\) is a common angle, which has both sine and cosine of \(\frac{\sqrt{2}}{2}\). So

\(12\cos{\frac{\pi}{4}} + \sin{\frac{\pi}{4}} = 12\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = 13\frac{\sqrt{2}}{2}\)

The velocity at this time is of \(13\frac{\sqrt{2}}{2}\) meters per second.

The solutions to the system of equations are x = 2 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 3

g(x) = 1/(x - 3)

The solution to the system of equations implies that

f(x) = g(x)

So, we have

x - 3 = 1/(x - 3)

Cross multiply the equation

This gives

(x - 3)² = 1

So, we have

x - 3 = ±1

Add 3 to both sides

x = 3 ± 1

So, we have

x = 2 and 4

Hence, the solutions to the system of equations are x = 2 and 4

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All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer:

2x + 3y + 50

Step-by-step explanation:

The equation for standard form looks like:

Ax + By + C

Simply plug in the given values to their corresponding variables.

($2)x + ($3)y + $50

or

2x + 3y + 50

Answer:

  x = 20

Step-by-step explanation:

The congruence statement tells you that angle A is congruent to angle D. (Both are listed first in the triangle names.) This means ...

  ∠A = ∠D

  3x -10 = 2x +10

  x = 20 . . . . . . . . . . add 10-2x to both sides

Answer:

Step-by-step explanation:

110

The opposite sides PQ and RS of the parallelogram PQRS are congruent

The value of the length QS is 6 cm

The given parameters are:

PQ = 4x - 1

RS = 3x + 7

Opposite sides are congruent.

So, we have:

4x - 1 = 3x + 7

Collect like terms

4x - 3x = 1 + 7

Evaluate the expressions

x = 8

The perimeter is calculated using:

Perimeter = 2(QS + RS)

This gives

2(QS + RS) = 74

Divide by 2

QS + RS = 37

Substiute RS = 3x + 7

QS + 3x + 7 = 37

Substitute 8 for x

QS + 3*8 + 7 = 37

This gives

QS + 31 = 37

Subtract 31 from both sides

QS = 6

Hence, the value of the length QS is 6 cm

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Answer:

6cm or b

Step-by-step explanation:

Answer:

According to this author, the stories about Nancy Hart  

✔ likely have some basis in truth

.

As a result, they are  

✔ very important

to the study of Georgia’s past

Step-by-step explanation:

I just took it on Edge 2020