NEED ASAP
1. Find the critical value ta, (5pts). 2 95%, n=7, o = is unknown

Answer:

answer id the 4th degree angle

Step-by-step explanation:

The limit of the given expression is
lim x -> infinity (x + sin(2x))/x = 1 + 0 = 1

To answer your question, L'Hopital's Rule is of no help in finding lim x -> infinity (x + sin(2x))/x because L'Hopital's Rule applies to indeterminate forms like 0/0 and ∞/∞.

In this case, as x approaches infinity, both the numerator and denominator approach infinity, making the expression an indeterminate form of ∞/∞. However, applying L'Hopital's Rule requires taking the derivative of both the numerator and the denominator, and since sin(2x) oscillates between -1 and 1, its derivative (2cos(2x)) will not help in finding the limit.

To find the limit using methods learned earlier in the semester, we can rewrite the given expression as:

lim x -> infinity (x + sin(2x))/x = lim x -> infinity (x/x + sin(2x)/x)

Now, let's evaluate the limit for each term separately:

lim x -> infinity (x/x) = lim x -> infinity 1 = 1 (since x/x always equals 1)

lim x -> infinity (sin(2x)/x) = 0 (since the sine function oscillates between -1 and 1, its value divided by an increasingly large x will approach 0)

So, the limit of the given expression is:

lim x -> infinity (x + sin(2x))/x = 1 + 0 = 1

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Answer:

Abbey lane is parallel with brittney drive

collin street is perpendicular with brittney drive

Doltan road is parallel with abbey lane

Edward street is perpendicular to doltan road

From the given conditions the map can be constructed in many ways,

we can construct the map as,

The given figure represents a quadrilateral. The sum of the interior angles of a quadrilateral is equal to 360°. This is our working concept to solve for the value of x on the given figure. All we need to do is, to sum up, all the interior angles on the problem and their sum are equal to 360 °. This is written in an equation as

Simplify the equation and compute, we get

Hence, the value of x on the problem is 52 degrees.

When using a significance level of 0.1, the probability of making a Type I error is closely associated with that level. In this case, the probability of committing a Type I error, which means incorrectly rejecting a true null hypothesis, is 10% or 0.1.

When conducting a hypothesis test, the significance level is the probability of rejecting the null hypothesis when it is actually true. In other words, it is the probability of making a type I error.

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Translate circle A (blue), so that its center is the same with circle B (black)

A dilation is needed to increase the size of circle A to coincide with circle B. Let x be the value when multiply by r will create s.

The scale factor , x, to increase circle A is

Answer:

x = 2

Step-by-step explanation:

1) If there is a number right next to a bracket, then it means that it should be multiplied. --> 4(5 -2x) = 25 - 10x

2) (20 - 8x) + 3 = 23 - 8x

3) 23 - 8x = 7

4) 16 = 8x

5) We divide both sides with 8 to leave x. --> 2 = x

6) x = 2

The probability that the total of the two numbers is more than 32 = \(\frac{2}{5}\)

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

\(^nC_r=\frac{n!}{r!(n-r)!}\)

For given question,

We have been given five number cards.

Two of the five cards are picked at random.

Using combination formula the possible number of outcomes would be,

\(^5C_2\\\\=\frac{5!}{2!(5-2)!} \\\\=10\)

So, n(S) = 10

Let event A : the total of the two numbers is more than 32

A = {(19, 14), (19, 22), (13, 22), (14, 22)}

So, n(A) = 4

Using the formula for probability,

\(\Rightarrow P(A)=\frac{n(A)}{n(S)} \\\\\Rightarrow P(A)=\frac{4}{10}\\\\\Rightarrow P(A)=\frac{2}{5}\)

Therefore, the probability that the total of the two numbers is more than 32 = \(\frac{2}{5}\)

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According to the hypothesis tested and the p-value given, it is found that the correct option is:

\(H_0: p = 0.75\)

\(H_1: p < 0.75\)

In this problem:

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

36-3=33

33 divided by 1.5 equals 22

answer is 22 miles

Answer:

Step-by-step explanation:

1.5x + 3 = 36

1.5x = 33

x = 22 miles

Answer:

Two ways

Step-by-step explanation:

Blue is students and Yellow is the trophies.

Total number of different ways that the awards can be distributed is; 150 ways.

This means that the five different awards could be separated into;

3 + 1 + 1 awards or 2 + 2 + 1 awards.

       ⁵C₃ × 3! = 60 ways

      ((⁵C₂ × ³C₂)/2) × 3! = 90 ways

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Using the relation between velocity, distance and time, it is found that the speed of the blimp in still air is of 35 mph.

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\)

153 miles with a tailwind (with the wind), that is, with a velocity of v + 16, so:

\(v + 16 = \frac{153}{t}\)

\((v + 16)t = 153\)

\(t = \frac{153}{v + 16}\)

57 miles with a headwind (against the wind), that is, with a velocity of v - 16, hence:

\(v - 16 = \frac{57}{t}\)

\((v - 16)t = 57\)

\(t = \frac{57}{v - 16}\)

Since the times are equal, we have that:

\(\frac{153}{v + 16} = \frac{57}{v - 16}\)

153(v - 16) = 57(v + 16)

96v = 3360

v = 3360/96

v = 35.

The speed of the blimp in still air is of 35 mph.

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Answer:

100

Step-by-step explanation:

first we need to turn the feet into inches

20x12=240

30x12=360

now to get the area of the floor we need to do 360x240=

86,400

now the area of each tile is 24x36=864

now to find out how many tiles fit on the floor we need to do 86,400 divided by 864 which = 100

From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

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The outer surface area of the ice coating on a spherical iron ball is decreasing at a rate of approximately 57.636 square centimeters per minute when the outer diameter (ball plus ice) is 146 cm.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to use the concept of related rates. Let's denote the radius of the iron ball as "r" and the thickness of the ice coating as "h." The outer diameter of the ball plus ice is then given as 2r + 2h, which is equal to 146 cm in this case.

We know that the volume of the ice coating is equal to the volume of the spherical shell formed between the outer and inner surfaces of the ice coating. The volume of this shell can be expressed as V = 4/3π((r + h)^3 - r^3).

Since the ice melts at a rate of 39 ml/min, which is equivalent to 39 cm^3/min, we can differentiate the volume equation with respect to time to obtain dV/dt. This represents the rate at which the volume of the ice coating is changing.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to find dA/dt, where A represents the outer surface area. We can relate dA/dt and dV/dt by using the formula for the surface area of a spherical shell: A = 4π(r + h)^2.

By substituting the given values into the equations and differentiating, we can solve for dA/dt. The resulting value will be approximately 57.636 square centimeters per minute, rounded to the nearest thousandth. This indicates the rate at which the outer surface area of the ice coating is decreasing when the outer diameter (ball plus ice) is 146 cm.

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The given subspace has dimension n+1

Given a ∈ R and {f ∈ Pn(R):f(a) = 0}, we need to determine the dimension of the subspace of Pn(R).

The subspace of Pn(R) defined by {f ∈ Pn(R):f(a) = 0} is the set of all polynomials of degree at most n that have a as a root.

Let B = {1, x - a, (x - a)^2, (x - a)^3, . . . , (x - a)^n} be a set of polynomials in Pn(R).

We claim that B is a basis for the subspace of Pn(R) defined by {f ∈ Pn(R):f(a) = 0}.

Clearly, B is a spanning set for the subspace of Pn(R) defined by {f ∈ Pn(R):f(a) = 0}.

Any such polynomial is of the form f(x) = (x - a)g(x) where g(x) is a polynomial of degree at most n - 1.

Then f(x) is a linear combination of the polynomials in B, namely f(x) = 0(1) + g(x)(x - a) + 0((x - a)^2) + ... + 0((x - a)^n).

Therefore, the subspace of Pn(R) defined by {f ∈ Pn(R):f(a) = 0} has dimension n + 1.

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A solution that does not simultaneously satisfy all constraints is called an infeasible solution.

Option (C) is correct.

What is linear programming?

Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. Linear programming is a special case of mathematical programming.

In linear programming, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

In some cases, there is no feasible solution area, i.e., there are no points that satisfy all constraints of the problem. An infeasible LP problem with two decision variables can be identified through its graph. For example, let us consider the following linear programming problem.

Minimize z = 200x1 + 300x2

subject to

2x1 + 3x2 ≥ 1200

x1 + x2 ≤ 400

2x1 + 1.5x2 ≥ 900

x1, x2 ≥ 0

The region located on the right of PQR includes all solutions, which satisfy the first and the third constraints. The region located on the left of ST includes all solutions, which satisfy the second constraint. Thus, the problem is infeasible because there is no set of points that satisfies all three constraints.

Hence, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

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Answer:

2 solutions so it can be inferred that it might be a quadratic

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

y = 0 and y = - 7 are horizontal parallel lines.

Since they are parallel, they never intersect and so have no solutions.

Answer:

J. 56

Step-by-step explanation:

The picture in this question can be a little deceiving. Each rectangular glass pane is 3 by 10 inches. This means that the picture of the 4 panes overlapping, leaves the center square open. The open area has your inner edges. The question asks for the sum of the inner and outer edges.

Every pane is 10 inches long, so the out perimeter of the figure is 40 inches because the figure has four sides. The rectangles overlap, creating 3 by 3 inch square. 3 inches off either side of a pane leaves 4 inches as the length for the edge of the inner square. Therefore, the perimeter of the inner square is 16 inches.

Outer Perimeter + Inner Perimeter = 40 + 16 = 56 inches

Answer:

6 hours

Step-by-step explanation:

Given that:

Time taken by Larry = 9 hours

Time taken by Sarah = 18 hours

Rate:

Larry, a = 1/9

Sarah, s = 1/18

Time taken working together = x

Rate working together = 1 /x

Therefore,

Larry's rate + Sarah's rate = working together rate

1/9 + 1/18 = 1/x

(2 + 1) / 18 = 1/x

3 /18 = 1/x

Cross multiply

3x = 18

3x/3 = 18/3

x = 6

Hence, if they work together, it will take 6 hours

Answer and Step-by-step explanation:

The answers are all of the.

All of these answers are less than 64.

#teamtrees #PAW (Plant And Water)

Answer:

-8,8

Step-by-step explanation:

Answer:

(5, 2)

Step-by-step explanation:

If we're reflecting across the y-axis, the y value of the point stays the same, because we're going from left to right in this case.  The x point, on the other hand, gets inverted (- to + and + to -).  -5 becomes 5 and 2 stays the same.

Answer:

5, 2

. . . . . . . . . . .. . . .. . . . .

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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If x² - 8 = x² substracting x² on both side then k = -8. This indicates that to obtain g, we must shift f 8 units down.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

Let the two functions be f(x) = x² and g(x) = x² - 8.

We know that g exists obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is

g(x) = f(x) + k

If we replace the meaning of f, g we get

x² - 8 = x²

By substracting x² on both side we get

x² - 8 - x² = x² - x²

k = -8.

This indicates that to obtain g, we must shift f 8 units down.

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\(Hello\) \(There!\)

I believe the answer is...

2: Negative

Hopefully, this helps you!!

\(AnimeVines\)

Answer:

x=15° and MNQ=32°

Step by step:

MNQ+QNP=90°

3x-13°+58=90°

so,3x+45°=90°

Then,3x=45° and x=15°

MNQ=3x-13°=3(15°)-13°

=45°-13°

=32°

Answer: x = 15 and MNQ = 32°

Step-by-step explanation: