Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the garden. The fence is rectangular in shape and is 21 inches long by 9 inches wide in the scale drawing. Use this information to determine the actual length and width of the fence in Kendall's garden.

Given that when Q = 2, P = 24 the value of P when Q = 10 is 120.

It should be noted that given that when Q = 2, P = 24, the constant will be;

= 24/2 = 12

Therefore, the value of P when Q is 10 will be:

= 12 × 10

= 120

The value of P is 120.

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Answer:

A, Salt

Step-by-step explanation:

Natural Resources

Answer: A and D

Step-by-step explanation:

The value of (f•g)(5) is 21.

Given are two functions f(x) = 3x+2 and g(x)= √x-1, we need to determine (f•g)(5),

So, firstly determine (f•g)(x),

Therefore,

(f•g)(x) = (3x+2)(√x-1)

Now for, (f•g)(5) put x = 5,

We get,

(f•g)(5) = (3·5+2)(√5-1)

(f•g)(5) = 17 × 1.23

(f•g)(5) = 21

Hence the value of (f•g)(5) is 21.

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If difference scores begin to pile up away from a sample mean difference score of Mp= 0, the null hypothesis will likely be rejected. So, correct option is B.

This suggests that there is a likely effect or relationship between the variables being compared.

Option b. The null hypothesis will likely be rejected is the correct statement in this scenario. When the observed differences are consistently far from zero, it implies that the null hypothesis, which assumes no significant difference or effect, is unlikely to be true.

Thus, based on the evidence provided by the data, we would reject the null hypothesis in favor of an alternative hypothesis that suggests the presence of a difference or effect.

The critical region refers to the region of extreme values that would lead to rejecting the null hypothesis. While the size of the critical region can vary depending on the chosen significance level, it does not directly indicate the likelihood of rejecting the null hypothesis in this context.

Similarly, the sample size (option c) does not provide information about the likelihood of rejecting the null hypothesis in this situation.

So, correct option is B.

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Answer:

Step-by-step explanation:

Multiply the constants and the variables

(4*5)(x*y) = 20xy

Answer:

i think its 12

Step-by-step explanation:

The radius of convergence of this series is the distance from the middle\(\( x=\frac{\pi}{2} \)\) to the closest singularity \(\( f(x)=\cos x \)\). Since \(\( f(x)=\cos x \)\) has no singularities, the radius of convergence is limitless. This means that the series converges for all values of ( x ).

The Taylor series for \(\( f(x)=\cos x \)\) targeted  \(\( x=\frac{\pi}{2} \)\) is given by using the:

\($$ f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(\frac{\pi}{2})}{n!}(x-\frac{\pi}{2})^n $$\)

in which \(\( f^{(n)} \)\) denotes the \(\( n \)\) -th derivative of ( f ).

Using the truth that \(\( f(x)=\cos x \), \( f'(x)=-\sin x \), \( f''(x)=-\cos x \),\) and many others., we will locate the values of \(\( f^{(n)}(\frac{\pi}{2}) \)\) for distinct values of ( n ):

\($$ f(0) = \cos(\frac{\pi}{2}) = 0 $$\\$$ f'(0) = -\sin(\frac{\pi}{2}) = -1 $$\\$$ f''(0) = -\cos(\frac{\pi}{2}) = 0 $$\\$$ f'''(0) = \sin(\frac{\pi}{2}) = 1 $$\\$$ f^{(4)}(0) = \cos(\frac{\pi}{2}) = 0 $$\\$$ f^{(5)}(0) = -\sin(\frac{\pi}{2}) = -1 $$\\$$ ...$$\\\)

We can see that the sample repeats every 4 derivatives, and that handiest the atypical derivatives are non-zero. Therefore, we are able to write the Taylor series as:

\($$ f(x) = -\sum_{k=0}^{\infty} \frac{(-1)^k}{(2k+1)!}(x-\frac{\pi}{2})^{2k+1} $$\)

The radius of convergence of this series is the distance from the middle\(\( x=\frac{\pi}{2} \)\) to the closest singularity \(\( f(x)=\cos x \)\). Since \(\( f(x)=\cos x \)\) has no singularities, the radius of convergence is limitless. This means that the series converges for all values of ( x ).

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The correct question is:

"Find the Taylor series for \(\( f(x)=\cos x \)\) centered at \(\( x=\frac{\pi}{2} \)\). (Assume that \(\( f \)\) has a Taylor series expansion). Also, find the radius of convergence."

Answer:

c

Step-by-step explanation:

Answer:

The question is not clear

Model 3 is the best model to use for future forecasting.

To determine which model is best for future forecasting, we need to look for the model with the lowest AIC, BIC, MSE, MAE, and MAPE values. AIC and BIC are information criteria that measure the goodness of fit of a model while penalizing models with more parameters, while MSE, MAE, and MAPE measure the accuracy of the forecasts.

Based on the provided results, the model with the lowest AIC, BIC, MSE, MAE, and MAPE values is Model 3, which is an ARMA(2,0,1) model. Therefore, we can conclude that Model 3 is the best model to use for future forecasting.

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The tangent line can be represented by any of the equivalent forms of the equation above. Therefore, the correct answer is a) x = 1 + 3t, y = 1 + 10t, z = 1 + 12t.

The tangent line to a curve at a specific point can be found by taking the derivative of the parametric equations and evaluating it at the given point. Let's find the derivative of the given parametric equations:

x = 3t

y = 5t²

z = 4t³

Taking the derivative with respect to t:

dx/dt = 3

dy/dt = 10t

dz/dt = 12t²

Now, we can evaluate these derivatives at t = 1, since that's the point at which we want to find the tangent line:

dx/dt = 3

dy/dt = 10(1) = 10

dz/dt = 12(1)² = 12

So, the direction vector of the tangent line is given by (3, 10, 12). Now, we need a point on the curve to determine the equation of the line. Using the given parametric equations, when t = 1, we have:

x = 3(1) = 3

y = 5(1)² = 5

z = 4(1)³ = 4

Therefore, the point on the curve is (3, 5, 4). We can use the point-direction form of a line to obtain the equation of the tangent line:

(x - x0)/a = (y - y0)/b = (z - z0)/c

where (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector. Substituting the values:

(x - 3)/3 = (y - 5)/10 = (z - 4)/12

Multiplying both sides by 3:

x - 3 = (3/10)(y - 5) = (3/12)(z - 4)

Simplifying:

10x - 30 = 3(y - 5) = (5/2)(z - 4)

The tangent line can be represented by any of the equivalent forms of the equation above. Therefore, the correct answer is a) x = 1 + 3t, y = 1 + 10t, z = 1 + 12t.

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Complete Question:

Find parametric equations for the tangent line to the curve with parametric equations x = 3t, y = 5t², z = 4t³ at the point with t = 1.

a.  x = 1 + 3t, y = 1 + 10t, z = 1 + 12t

b. x = 3 + 3t, y = 5 + 10t, z = 4 + 12t

c. x = 1 + 3t, y = 1 + 5t, z = 1 + 4t

d.  x = 3 + 3t, y = 5 + 5t, z = 4 + 4t

Answer:

see below

Step-by-step explanation:

y = (x² - 2x + 1)

y = (x - 1)(x - 1)

First, recognize that the first equation is fully simplified/expanded already.

Now, we should solve for the second equation.

FOIL the expressions: first–outer–inner–last

(x - 1)(x - 1)

F: x²

O: -x

I: -x

L: 1

Combine these terms.

x² - x - x + 1

x² - 2x + 1

Notice that this equation is identical to our first equation. Therefore, the functions are equivalent.

Hope this helps!

y = (x^2 - 2x + 1)

y = (x - 1)(x - 1)

Algebraic Proof

FOIL y = (x - 1)(x - 1)

y = (x - 1) (x -1 ) = x^2 -2x + 1

Done.

Numeric Proof

Let x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = 2 + 2

y = 0

Let x be 1 again.

y = (x - 1)(x - 1)

y = (1 - 1)(1 - 1)

y = 0

There you have it. Both equations are the same.

As a result οf answering the given questiοn, we may state that As a equatiοn result, the system's sοlutiοn is (4, 5).

In mathematics, an equatiοn is a statement stating the equality οr twο expressiοns. An equatiοn cοnsists οf twο sides split by an algebraic equatiοn (=). Fοr illustratiοn, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal tο the value "9". The gοal οf equatiοn sοlving is tο find the value οr values οf the variable(s) tο make the equatiοn true. Simple οr cοmplex equatiοns, regular οr nοnlinear, and including οne οr mοre factοrs are all pοssible. Fοr example, the equatiοn "x² + 2x - 3 = 0" has the variable x raised tο the secοnd pοwer. Lines are used in many fields οf mathematics, including algebra, calculus, οr geοmetry.

Tο begin, use the pοint-slοpe fοrm οf a line tο οbtain the equatiοn οf the first line:

where m is the slοpe and (x₁, y₁) is a line pοint. With m = 2 and (x₁, y₁) = (1, -1), we get:

y -y1 = m(x -x1)(x -x1)

Tο sοlve the system, we must lοcate the place where the twο lines intersect. When we put the twο equatiοns tοgether, we get:



y-(-1) = 2(x -1)(x -1)

y+1 = 2x-2 = 2x-3

When we substitute x = 4 intο either equatiοn, we get:

2x-3=(-5/2)x + 15(9/2)x = 18 = 4

As a result, the system's sοlutiοn is (4, 5).

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We shall begi by determining the size of the arc that was cut out of the rectangular paperboard.

Observe that the new shape now consists of two lengths measuring 23 inches each, and one width measuring 18 inches, and the half circumerence measuring 28.26 inches.

The perimeter therefore is the addition of all sides and that is;

Perimeter = 23 + 23 + 18 + 28.26

Perimeter = 92.26 inches

Answer:

It's choice 2.

Step-by-step explanation:

The nth value is 1 more than twice the previous value

- for example,  15 = 2*7 + 1.

Finally get to swoop in and answer!

Each new value is 1 plus twice the previous value.

First value is 1. Then,

1 plus twice 1 = 3, the second value.

Second value is 3

1 plus twice 3 = 7, so

Third value is 7

and so on (this is merely a check)

The company currently holds approximately 50 days' sales in cash for the comigany curfenty holdeg

To determine the number of days' sales in cash that the company currently holds, we need to divide the cash amount by the daily sales amount. With annual sales of $720,000 and a 360-day year, the company holds approximately 100 days' sales in cash.

To calculate the number of days' sales in cash, we divide the cash amount by the daily sales amount.

Given that the company has $100,000 in cash and annual sales of $720,000, we can determine the daily sales amount by dividing the annual sales by the number of days in a year. Since the year is assumed to have 360 days, the daily sales amount is $720,000 / 360 = $2,000.

Next, we divide the cash amount by the daily sales amount to find the number of days' sales in cash:

$100,000 / $2,000 = 50.

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Answer: 12.5

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The dark triangle is 6cm and the light is 10.5cm

Answer:

D 16.5

Step-by-step explanation:

6x2=12 divided by 2 equal 6. Answer to left triangle

7x3=21 divided by 2 equal 10.5 answer to right

Then add 10.5 +6= 16.5

Answer:

B

Step-by-step explanation:

A is Standard Intercept Form

B is Point Slope Form

The rest are used for other problems I'm unsure of

Answer:

The answer is C

Answer:

c is the answer

Step-by-step explanation:

the answer is c

Answer:

First, you turn it into 18 + 3x = 24

Then do - 18 on both sides to get 3x = 6

so the answer is 2

Step-by-step explanation:

Answer:

I think it might be too late

Step-by-step explanation:

but here it is anyways

The Title of my performance is: "A Midsummer Night's Dream:

There is Act 3, Scene 2, Lines 1-100 and titled: Love and Confusion" The Performance Script is attached.

In Act 3, Scene 2 of "A Midsummer Night's Dream," Shakespeare blends humor and a message about love and confusion. Characters include Puck and four lovers: Demetrius, Hermia, Helena, and Lysander.

Humor comes from the love triangle's chaos between Demetrius, Hermia, and Helena, worsened by Puck's interference. Puck's love potion causes Demetrius to love Helena instead of Hermia. Lysander also falls in love with Helena due to the potion. Humor from exaggerated love expressions and misunderstandings among characters.

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Answer:

3x²

= 3(10)²

= 3(100)

= 300

Step-by-step explanation:

Answer:

prime because you can't multiply anything to get more than what you multiplied it by.

Step-by-step explanation:

Answer:

The number 1 is neither prime nor composite

Step-by-step explanation:

When the area of a rectangle is a prime number, there is only one set of possible dimensions for that rectangle. When the area of a rectangle is a composite number, there are two or more sets of possible dimensions for that rectangle.

Answer:

the answer should be 7b^6+2b nothing further can be done with that problem

Step-by-step explanation: