if n is a positive integer, how many integers from 0 through 2n must you pick in order to be sure of getting at least one that is odd? incorrect: your answer is incorrect. how many integers must be picked in order to be sure of getting at least one that is even?

Answer:

x = 70

Step-by-step explanation:

The total sum of all of the angles in a parallelogram is equal to 360 degrees. Opposite angles are also congreuent meaning that angle ADC and angle ABC are equal. Adding the sum of the two angles gives you 220. Subtract 220 form 360 and you get 140 which is equal to the sum of angles BCD and BAD. Angles BCD and BAD and the sam so dividing 140 by 2 would give you the angle measure of x.

The given problem is based on the equation for a straight line (deterministic model) and requires to solve for some values.  The values of ßo and B₁ are given by:ßo = 2 and B₁ = 0.

The given problem is based on the equation for a straight line (deterministic model) and requires to solve for some values. So, let's solve it below:

We know that the equation for a straight line (deterministic model) is:

y = ßo + B₁x ----- Eq. (1)

The given line passes through the point (-2, 2)

Therefore, when x = -2, y = 2,

the above equation (Eq.1) will hold true.

So, putting these values in the equation, we get:

2 = ßo + B₁(-2) ---- Eq. (2)

To find the values of ßo and B₁, we need two equations having two unknowns. However, we have only one equation till now. So, we require another equation. Now, to derive another equation, we use the point that line passes through the point (-2,2) and find the slope of the line.

Now, let's determine the slope of the line using the given points.Since the line passes through the point (-2, 2) and there is another point which is not mentioned, then let's say that the point is (x, y).

So, the slope of the line is given by:

(y - 2)/(x - (-2)) = (y - 2)/(x + 2)

Since it is a straight line, the slope is constant throughout the line. Hence, using the above slope equation, we get:

(y - 2)/(x + 2) = B₁---- Eq. (3)

Using Equations (2) and (3), we can find the values of ßo and B₁. Let's solve these equations as follows:

2 = ßo + B₁(-2) or 2 = -2B₁ + ßo (By interchanging the order of the terms)

Substitute the value of ßo from the above equation into equation (3) as:

(y - 2)/(x + 2) = B₁

Now, put y = 2, x = -2 in the above equation and solve for B₁ to find its value:

(2 - 2)/(-2 + 2) = B₁

Therefore, B₁ = 0

Therefore, substituting B₁ = 0 in equation (2), we get:

2 = ßo

Hence, the values of ßo and B₁ are given by:

ßo = 2 and B₁ = 0.

The answer is as follows:

Given, the equation for a straight line (deterministic model) is

y=ßo +B₁x;

2= Bo + B₁(-2).

We know that the slope of the line is given by:

(y - 2)/(x + 2) = B₁ ---- Eq. (1)

Also, 2 = ßo + B₁(-2)---- Eq. (2)

When x = -2, y = 2, we can use equation (2) to find ßo and B₁.

Substituting x = -2, y = 2 in equation (1), we get:

(y - 2)/(x + 2) = B₁(y - 2)/(x - (-2)) = (y - 2)/(x + 2)

Since it is a straight line, the slope is constant throughout the line.

Hence, using the above slope equation, we get:

(y - 2)/(x + 2) = B₁(y - 2)/(x - (-2)) = B₁(x + 2)

As x = -2, we get:

(y - 2)/0 = B₁(-2 + 2)

Therefore, B₁ = 0

Now, using Eq. (2), we get:2 = ßo + B₁(-2) or ßo = 2

Therefore, the values of ßo and B₁ are given by:ßo = 2 and B₁ = 0.

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In response to the query, we can state that Therefore, the area of the base of the triangular pyramid is 21 square inches.

A pyramid is a polygon in mathematics, formed by connecting points referred to as bases and polygonal vertices. For each hace and vertex, a triangle called a face is formed. a cone with a polygonal form. A pyramid with a floor and n pyramids has 2n edges, n+1 vertices, and n+1 vertices. Each pyramid is dual in itself. Pyramids can be seen in three dimensions. The vertex, the intersection of a pyramid's flat tri face and polygonal base, is where they come together. The base and apex are connected to form a pyramid. Triangle faces that connect to the top are formed by the edges of the base.

volume of a triangular pyramid

V = (1/3) * Base Area * Height

65 = (1/3) * Base Area * 9.75

Area = 65 / (1/3) / 9.75

Area = 21

Therefore, the area of the base of the triangular pyramid is 21 square inches.

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Q(1)

a² + b² = c²

5² + 1² = (√26)²

25 + 1 = 26

26 = 26

Hence LHS = RHS proved, the triangle is a right angle triangle.

Q(2)

distance formula: \(\boxed{\sqrt{(x2- x1 )^2 + (y2 - y1 )^2}}\)

using the formula:

\(\sqrt{(4- 2 )^2 + (-1 - 3 )^2}\)

\(\sqrt{4+16}\)

\(2\sqrt{5}\) ____this is the distance between two points/coordinates.

Q(3)

c² = a² + b²

x² = 7² + 24²

x² = 49 + 576

x² = 625

x = √625

x = 25

[ here the mistake was they took 7 and 24 in the bracket by keeping square outside and added inside both which must and cannot be done ]

The total yield for an acre, T, in pounds as a function of the number of walnut tree per acre, x is given by T = -1.5x² + 95x.

In order to solve this word problem, we would assign variables to the number of walnut tree per acre and total yield for an acre, and then translate the word problem into algebraic equation as follows:

Mathematically, the total yield for an acre can be calculated by using this mathematical expression:

Total yield for an acre (T) = yield of each tree × number of trees per acre

Substituting the given parameters into the mathematical expression, we have the following;

Total yield for an acre (T) = [50 - 1.5(x - 30)] × x

Opening the bracket, we have:

Total yield for an acre (T) = [50 - 1.5x + 45] × x

Total yield for an acre (T) = 50x - 1.5x² + 45x

Next, we would rearrange the function by collecting like terms and simplifying as follows:

Total yield for an acre (T) = -1.5x² + (50x + 45x)

Total yield for an acre (T) = -1.5x² + 95x

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The system of equations is  y = 50 + 3x; y = 34 + 4x. The number of cups that Aunt Emily orders is 16. The cost of either shop for 16 cupcakes is $98.

What is substitution method?

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. In this manner, a pair of linear equations are combined into a single, simple linear equation with just one variable.

Assume that x number of cups that ordered by Aunt Emily.

Given that, Clarksville Bakery charges $3 for each cupcake, plus $50 for the large cake.

Therefore, the cost of x cupcake is 50 + 3x.

y = 50 + 3x

Also, Sebastian's Sweet Shoppe charges $34 for the large cake and $4 for each cupcake.

Therefore, the cost of x cupcake is 34 + 4x.

y = 34 + 4x

The system of equations is

y = 50 + 3x  ....(i)

y = 34 + 4x  ...(ii)

To find the number of cupcakes that Aunt Emily orders, use substitution method to solve the system of equation.

Substitute y = 50 + 3x in equation (ii)

50 + 3x = 34 + 4x

Subtract 3x from both sides:

50 = 34 + x

x = 16

Putting x = 16 in equation (i)

y = 50 + (3 × 16) = 98

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Answer:22

Step-by-step explanation:

22-17=5. 5x-5=-25!

The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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Answer:

D) 4

Step-by-step explanation:

By remote interior angle property if a triangle, we have:

19x° + (18x - 4)° = 144°

(18x - 4 + 19x)° = 144°

(37x - 4)° = 144°

37x - 4 = 144

37x = 144 + 4

37x = 148

x = 148/37

x = 4

When x= 3 then y= 17

When x = -3 then y = -7

Answer: the correct answer is D and E

Step-by-step explanation:

Answer:

QR = 15

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

(QR+5) *5 = 10^2

(QR+5) *5 = 100

Divide each side by 5.

(QR+5) *5/5 = 100/5

(QR+5)  = 20

Subtract 5 from each side.

QR = 20-5

QR = 15

Answer:

48x

Step-by-step explanation:

\((\sqrt[4]{48x} )^{4}\) = \(\sqrt[4]{(48x)^{4} }\) = 48x

Answer:

9p³

Step-by-step explanation:

multyplying the two negatives equals a positive

p x 9p² = 9p³

Answer:

The simplified version is 9p^3=0

answer : 40

Step-by-step explanation:

√32 × 5√2

= √32√2 = √64

= √64 × 5

= √64 = 8

= 8× 5

= 40

a. To find the probability that a randomly selected student will be suspended sometime during the year, we need the total number of students who were suspended during Week 2. The probability can be estimated by dividing this number by the total number of students in the population.

b. To find the probability that a randomly selected student will be suspended at least twice during the year, we need to determine the number of students who were suspended twice or more during Week 2. Again, this probability can be estimated by dividing this number by the total number of students in the population.

c. To find the probability that a randomly selected student will be suspended at least twice during the year given that he or she is suspended at least once, we can use conditional probability. We need to calculate the number of students who were suspended at least twice during Week 2 and were also suspended at least once during that time. Then, we divide this number by the total number of students who were suspended at least once during Week 2.

d. To find the probability that both Student A and Student B are suspended sometime during the year, we need to consider the probability of each student being suspended individually and the assumption of independence between the events. We multiply the probability of Student A being suspended by the probability of Student B being suspended, assuming independence. Whether these events are independent depends on the specific context and factors that might influence the suspension of students.

e. To find the probability that either Student A or Student B is suspended sometime during the year, we consider the probability of each student being suspended individually and subtract the probability of both students not being suspended. Whether these events are mutually exclusive depends on the specific context and factors that might influence the suspension of students. If a student can be suspended multiple times, the events may not be mutually exclusive as both students can be suspended.

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Using reference angles, it is found that the correct option is:

Angle \(\frac{5\pi}{6}\) is on the second quadrant, \(\frac{\pi}{2} < \frac{5\pi}{6} < \pi\).

\(\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}\)

Angle \(\frac{5\pi}{3}\) is on the fourth quadrant, \(\frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi\).

\(2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}\)

They have different reference angles, hence:

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Answer:

A

Step-by-step explanation:

A

Answer:

y = 30

z = 115

Step-by-step explanation:

z° + 65° = 180°

(Exterior Angles on the same side of transversal)

z° = 180° - 65°

z° = 115°

z = 115

(5y - 85)° + z° = 180°

(Linear pair angles)

(5y - 85)° + 115° = 180°

(5y - 85)° = 180° - 115°

(5y - 85)° = 65°

5y - 85 = 65

5y = 65 + 85

5y = 150

y = 150/5

y = 30

Answer:

1

_

25

Step-by-step explanation:

Answer:

B. Acceleration

Step-by-step explanation:

Answer:

16.28

Step-by-step explanation:

Answer: about 2 minutes and 47 seconds

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

Tan= Opposite/Adjacent

Tan<f = 4/7

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer: b. $2.00

Step-by-step explanation:

Substituting y = x + cos(x) into y" - 2y' + 5y results in 5x - 2 + 4cos(x) + 2sin(x), verifying the equation.

To verify that the function y = x + cos(x) satisfies the equation y" - 2y' + 5y = 5x - 2 + 4cos(x) + 2sin(x), we need to differentiate y twice and substitute it into the equation.

First, find the first derivative of y:

y' = 1 - sin(x)

Next, find the second derivative of y:

y" = -cos(x)

Now, substitute y, y', and y" into the equation:

-cos(x) - 2(1 - sin(x)) + 5(x + cos(x)) = 5x - 2 + 4cos(x) + 2sin(x)

Simplifying both sides of the equation:

-3cos(x) + 2sin(x) + 5x - 2 = 5x - 2 + 4cos(x) + 2sin(x)

The equation holds true, verifying that y = x + cos(x) satisfies the given differential equation.

To find the general solution to the equation, we can solve it directly by rearranging the terms and integrating them. However, since the equation is already satisfied by y = x + cos(x), this function is the general solution.

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Answer:

Step-by-step explanation:

At point D rotate 90° counter-clockwise.  The translate 3 units left and 2 unit up.

Answer:

the probability of drawing a red would be 12/60, or 1/5, which is 0.2 or 20%

(NO)²

\(\huge\mathfrak\red{hope \: it \: helps}\)