What is 12 + t , when t = 17

Answer:

Show similarity between triangle WXZ and triangle VXY then write XY/XZ=VY/WZ

The reason is: The ratio of corresponding sides of similar triangle are equal.

5 equilateral triangles.

Hope this helps.

The limit of the expression (y^4 - 2x^2) / (y^4 + x^2) as (x, y) approaches (0, 0) does not exist.

To prove this, we can use the two-path test, which involves evaluating the limit along two different paths and comparing the results.

Path 1: Approaching along the x-axis

When we approach (0, 0) along the x-axis (y = 0), the expression becomes:

\(lim(x- > 0) [(0^4 - 2x^2) / (0^4 + x^2)]= lim(x- > 0) (-2x^2 / x^2)\\= lim(x- > 0) -2\\= -2\)

Path 2: Approaching along the y-axis

When we approach (0, 0) along the y-axis (x = 0), the expression becomes:

\(lim(y- > 0) [(y^4 - 2(0)^2) / (y^4 + (0)^2)]\\= lim(y- > 0) (y^4 / y^4)\\= lim(y- > 0) 1\\= 1\)

Since the limits along the two paths are different (-2 and 1), the limit of the expression as (x, y) approaches (0, 0) does not exist. Therefore, we can conclude that the given limit does not exist.

The two-path test is a useful technique to determine the existence of a limit. By evaluating the limit along different paths, we can identify cases where the limit values are not consistent, indicating that the limit does not exist. In this particular example, the limit depends on the direction of approach, leading to different outcomes and ultimately proving the non-existence of the limit.

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To determine the number of beads that contain at least two different colors, subtract the number of beads that contain only one color from the total number of beads.

1. Calculate the number of beads that contain exactly one color:

2. Calculate the total number of beads:

3. Subtract the number of beads that contain only one color from the total number of beads to find the number of beads with at least two different colors:

Let's take an example to illustrate this:

Suppose there are 4 different colors available (n = 4), and there are a total of 100 beads (m = 100).

Calculate the number of beads that contain exactly one color:

Number of beads with exactly one color = n * n = 4 * 4 = 16.

Calculate the number of beads with at least two different colors:

Number of beads with at least two different colors = Total number of beads - Number of beads with exactly one color.

Number of beads with at least two different colors = 100 - 16 = 84.

So, in this example, there are 84 beads that contain at least two different colors.

In general, to find the number of beads that contain at least two different colors, subtract the number of beads with exactly one color from the total number of beads, using the formula derived in steps 1 and 2.

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Answer:

The first one in picture: A

The second one in picture: I have no clue. They all look wrong.

Step-by-step explanation:

Answer:

(x,y) = (2,3)

Step-by-step explanation:

Solving steps:

2y = 6 (Divide both sides)

y = 3 (Substitute the value of y)

2x - 3 = 1 (Solve the equation)

x = 2

(x,y) = (2,3)

Hope this helped!!!

Answer:

The temperature at noon was -10ºF + 15º = 5ºF.

Then, from noon to 7:00 pm, there were 7 hours, during which the temperature dropped 25º. Therefore, the temperature at 7:00 pm was:

5ºF - 25º = -20ºF.

So, the temperature at 7:00 pm was -20ºF.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be -30°F

Answer:

D. 3 and 6

A linear model would be best for Scatterplots 3 and 6.

Answer:

Terrence made $30 more than Teresa.

Step-by-step explanation:

Giving the following information:

Terrence earns $450 per week.

Teresa earns $300 per week plus a 6% commission on the total sales of books she sells.

First, we need to structure the total income formula for each:

Terrence= 450

Teresa= 300 + 0.06*x

x= sales

Now, for $2,000 sales of books:

Terrence= $450

Teresa= 300 + 0.06*2,000= $420

Amani earns 59 dollars in a week if she sells 18 books.

Amani earns a base amount of $41 per week for working part-time at the bookstore. In addition to that, she earns an extra dollar for each book she sells. The equation A = 41 + b represents her total earnings, where A represents the amount she earns and b represents the number of books she sells.

To find out how much Amani earns in a week if she sells 18 books, we substitute the value of b (18) into the equation:

A = 41 + 18

This simplifies to:

A = 59

Therefore, if Amani sells 18 books in a week, she will earn $59.

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Answer: 207.1875

Step-by-step explanation:

side length a = 19.5 cm

side length b = 21.25 cm

diagonal p = q = 28.841159824112 cm

perimeter P = 81.5 cm

area of rectangle A = 414.375 cm2

area of rectangle divided into a triangle = 207.1875

hope this helps

In the instrumental variable regression model Yi = ?0 + ?1Xi + ?2Wi + ui where Zi is an instrument, the variable Wi is missing from the regression equation. The IV estimator is consistent when Zi and Wi are uncorrelated, but not consistent when Zi and Wi are correlated.

The question asks whether the IV estimator is consistent in two scenarios.
(a) If Zi and Wi are uncorrelated, then the IV estimator is consistent. This is because in this scenario, the omitted variable bias is not present. The reason for this is that the variable Wi is not correlated with the error term ui in the equation Yi = ?0 + ?1Xi + ?2Wi + ui, and hence its omission does not lead to biased estimates of ?1.
(b) However, if Zi and Wi are correlated, then the IV estimator may not be consistent. This is because the omitted variable bias is present in this scenario. The variable Wi is correlated with the error term ui in the equation Yi = ?0 + ?1Xi + ?2Wi + ui. Therefore, its omission leads to biased estimates of ?1.
In summary, the presence of correlation between Zi and Wi affects the consistency of the IV estimator. When they are uncorrelated, the IV estimator is consistent, but when they are correlated, it may not be.

(a) If Zi and Wi are uncorrelated, is the IV estimator consistent?
In this scenario, we have the following regression model:
Yi = β0 + β1Xi + β2Wi + ui
Where Zi is an instrument and Wi is an omitted variable. If Zi and Wi are uncorrelated, it means that the instrument (Zi) is not related to the omitted variable (Wi). In this case, the IV estimator would be consistent, because the instrument is only affecting the endogenous variable (Xi) and not the omitted variable (Wi).
(b) If Zi and Wi are correlated, is the IV estimator consistent?
In the case where Zi and Wi are correlated, it means that the instrument (Zi) is related to the omitted variable (Wi). When the instrument is correlated with the omitted variable, the IV estimator will not be consistent. This is because the instrument will not only affect the endogenous variable (Xi) but also the omitted variable (Wi), causing biased estimates of the parameters in the regression model.
To summarize, the IV estimator is consistent when Zi and Wi are uncorrelated, but not consistent when Zi and Wi are correlated.

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Answer: 168.5 inches

50 yards = 1800 inches

50 meters = 1968.5 inches.

So, if you run 50 yards, you run 1968.5 - 1800, 168.5 inches less than 50 meters.

Let me know if this helps!

Answer:

One candy bar cost $4.02

Step-by-step explanation:

14.19 - 5.79 = 8.4 (total candy bar cost)

8.4 / 2 = 4.2 cost of one candy bar

Answer:

4.2

Step-by-step explanation:

14.18-5.79 = 8.4

8.4/2 = 4.2

The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

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Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Answer:

216

Step-by-step explanation:

The formula of finding the surface is length * width * height or LxWxH.

Since everything is 6 you just multiply 6*6*6 which gives you 36*6 which gets you 216. You don't need the top 6 just to find the surface she will paint.

Hope this helps!

Answer:

m=50

Step-by-step explanation:

The statement is false. The intercept in a regression of Y on a dummy variable X is the expected value of Y when X = 0.

The intercept in a regression of Y on a dummy variable X is the expected value of Y when X = 0. In other words, the intercept is the mean response of Y when X = 0. It is not the difference between the mean of Y for observations with X = 0 and the mean of Y for observations with X = 1.

Therefore, option C is also false. Option B is also not correct as the mean response at X = 1 is not the same as the intercept. Option A is also not correct as the intercept is not always the mean of Y.

Hence, the correct statement is that the intercept in a regression of Y on a dummy variable X is the expected value of Y when X = 0.

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The graph C. represents the polynomial with zeros of -3, 0 and 2.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information about the graph's x-intercepts for the polynomial.

Alternately, we might state that the zeros of the polynomial are the x-intercept of its graph. Thus, the needed function is represented by the graph with the coordinates -3, 0, and 2.

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The complete question is as follows:

Select the correct answer.

Which graph best represents a function with zeros of -3, 0, and 2?

We have the piecewise-defined function

and we want to calculate f(4). Informally, you can think of a piecewise-defined function as a function defined in branches. To calculate the value of an argument, you must look for the branch in which the argument lies, and then apply the formula of that branch.

In our case, note that 4 lies in the upper branch (4 is less or equal to 4); then,

Height at an instance of time is given by :

h(t) = -4( t - 2 )² + 5     .....1

Differentiating above equation with respect to t .

\(\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)\)

Now, for maximum , \(\dfrac{dh}{dt} = 0\) .

8( t - 2 ) = 0

t = 2

Putting value of t = 2 in given equation, we get :

h( 2 ) = -4( 2 - 2 )² + 5

h( 2 ) = 5 m

Therefore, maximum height rocket can reach is 5 m.

It is a rational number.

Step-by-step explanation:

Rational number means it can be denoted as a fraction and irrational numbers cannot be denoted as fractions.

square root of 4 × ⅖

square root of 4 is 2 so

2 × ⅖

it is ⅘

so it is 0.8

Hope this helps. Have a good day!

Pls give brainliest if possible.

Answer: 3750

Step-by-step explanation:

The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

The area of the rectangle that measures 2 4/5 inches by 2 1/5 inches is: 6.16 inches².

Area of a rectangle = (length)(width).

Given the following:

Area of the rectangle = (2.8)(2.2)

Area of the rectangle = 6.16 inches²

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Answer:

58 miles per hour

Step-by-step explanation:

Simplify by dividing 203 by 3.5 to get the simplified unit rate