(1 point) A group of 25 hunters wait for ducks to fly by. When a flock of ducks flies overhead, the hunters all fire at the same time, each selecting a target at random and independently of the others. If each hunter independently hits his target with probability 0.5, and if all misses do not hit other ducks, what is the expected number of ducks that will be hit

The image after the reflection over the line x = 2 is (11, -3)

Here we have the point T which has coordinates (-7,  -3), and we apply a refletion across the line x = 2.

This reflection will only chane the value of x in our point, such that the initial value x = -7

Is at the same distance of the line x = 2 than the final x-value

The distance between these values is:

d = |-7 - 2| = 9

Then the new x-value will be:

x = 2 + 9 = 11

Thus, the image after the reflection is (11, -3)

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Answer:

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)

If leg b is unknown, then: b = √(c² - a²)

For hypotenuse c missing, the formula is: c = √(a² + b²)

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf P= 9 \ in. }\)

Step-by-step explanation:

Given is a right-angled triangle.

So, we can use Pythagorean Theorem to find the missing length.

It is:

\((Hypotenuse)^2=(Base)^2+(Perpendicular)^2\)

Here,

Hypotenuse = 41 in.

Base = 40 in.

Perpendicular = P

\((41)^2=(40)^2+P^2\\\\1681 = 1600 + P^2\\\\Subtract \ 1600 \ from \ both \ sides\\\\1681-1600=P^2\\\\81 = P^2\\\\Take \ square \ root \ on \ both \ sides\\\\\sqrt{81} = \sqrt{P^2} \\\\P= 9 \ in. \\\\\rule[225]{225}{2}\)

Definately option C

As

The graph shown is a parabola which is not y=x+4

So option C is wrong

Answer:

C

Step-by-step explanation:

The graph shown plotted in the coordinate plane is \(y=x^2+4\)

True Statements

A. Each value of y in an ordered pair that lies on this graph, except 0, is paired with two values of x.

If you draw a horizontal for y > 0 you will see that there are two values of x.

B. The value of x in every ordered pair that lies in this graph is less than the corresponding value of y.

D. The graph of this equation is a function.

False Statements

C. The slope between any two points on this graph is constant.

This is true for a linear function.  As this is a quadratic function, this is untrue.

Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.

The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

Here,

An air conditioning system can circulate 430 cubic feet of air per minute.

We have to find the cubic yards of air which can be circulate in per minute.

What is the value of cubic yard in cubic feet?

1 cubic yard = \((3 ft)^3\) = 27 cubic feet.

Now,

1 cubic yard = \((3 ft)^3\) = 27 cubic feet.

Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92

So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

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Answer:

56

Step-by-step explanation:

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

\(DA = a,\\CB = a, \\DC = c, \\AB = C.\)

\(MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c\)

B)Where you have to quite literally put the precise answer, so we have that:

\(CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\\)

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Answer:

B and D

Step-by-step explanation:

9x10=90

10x9=90

a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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Answer: The answer is two

Step-by-step explanation: If you look for opposites of a number its either negative or positive. So when the answer is negative, the opposite is positive and if the answer is positive, the opposite is negative.

Answer:

\(\boxed{2}\)

Step-by-step explanation:

The opposite of a number is the number that is the same distance from 0 on the number line.

-2 opposite is 2.

Answer:

Did you try this is a piece of cake

Step-by-step explanation:

Answer:

i would say around 61.54%

Step-by-step explanation:

maybe simplify it

Answer:

We want to find:

\(y'*dx = dy\)

Where:

\(y = x^4*sin(9x)\)

Remember that when we have a function like:

f(x) = g(x)*h(x)

The derivation gives:

f'(x) = g'(x)*h(x) + g(x)*h'(x)

In this case we can define:

f(x) = y

g(x) = x^4

h(x) = sin(9x)

These functions are easy to differentiate:

g'(x) = 4*x^3

h'(x) = 9*cos(9*x)

Then we have:

\(y' = \frac{dy}{dx} = 4x^3*sin(9x) + x^4*9cos(9x)\)

Then we can write:

\(dy = (4x^3*sin(9x) + 9x^4*cos(9x))dx\)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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9514 1404 393

Answer:

Step-by-step explanation:

A) If the playing times are to be the same, then the two expressions for playing time will be equal to each other.

  Ron = Sam

  3 +1.25c = 8 +0.75c

  0.50c +3 = 8 . . . . . . . . . . subtract 0.75c from both sides

  0.50c = 5 . . . . . . . . . . . subtract 3 from both sides

  c = 5/0.50 = 10 . . . . . divide by the coefficient of c

Each would have to complete 10 chores for their playing times to be the same.

__

B) When c = 4, we have ...

  Ron: 3 +1.25·4 = 3 +5 = 8

  Sam: 8 +0.75·4 = 8 +3 = 11

Sam spent the most gaming time if both completed 4 chores.

Answer:

6

Step-by-step explanation:

Answer:

Kevin

Step-by-step explanation:

Answer:

THE ANSWER IS D 180

Step-by-step explanation:

THE PERSON WHO MADE THIS QUESTION IS WRONG, PLS TRUST

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

Answer:

The answer is C

Step-by-step explanation:

∠6 appears to be in the opposite side of ∠7, what makes it vertical angle of ∠7.

The main rule of this is that any angle that is in the opposite side is considered the vertical angle

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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We have shown that E₀ cos⁴θ = E₀ (1/2 + (cos2θ)/2)².

Let's start by condensing the supplied equation, E₀ cos⁴θ:

E₀ cos⁴θ = E₀ (cos²θ)²

Now, we can rewrite cos²θ in terms of Sin²θ using the identity sin²θ = 1 - cos²θ:

cos²θ = 1 - sin²θ

Reintroducing this into the expression:

E₀ (cos²θ)² = E₀ (1 - sin²θ)²

Expanding the square:

E₀ (1 - sin²θ)² = E₀ (1 - 2sin²θ + sin⁴θ)

Now, let's simplify the expression (1 - 2sin²θ + sin⁴θ):

1 - 2sin²θ + sin⁴θ = (1 - sin²θ)²

Using the identity given in the hint,

(1 - sin²θ)² = (2sin²θ)²

Expanding the square:

(2sin²θ)² = 4sin⁴θ

Let's now reintroduce this outcome into the preceding expression:

E₀ (1 - 2sin²θ + sin⁴θ) = E₀ (2sin²θ)² = E₀ (4sin⁴θ)

Therefore, we have shown that E₀ cos⁴θ = E₀ (1/2 + (cos2θ)/2)².

Hence verified.

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To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

It's not A

Step-by-step explanation:

Answer:    C.    The third picture (from left to right)

Step-by-step explanation: It is the one that is most open and that the vertex is on the right/ positive side of the graph aka (2,2). Hope this is clear enough.

Answer:

3600 beats

7800-4200=3600

Answer:

domain is x ∈ (- ∞, + ∞ )

Step-by-step explanation:

The graph shows

as y → - ∞ , x → - ∞

as y → + ∞ x → + ∞

The domain is therefore real for all values of x

domain is x ∈ (- ∞, + ∞ )

Answer:

  (-5, 2)

Step-by-step explanation:

Often, an arrow at the end of a graph indicates the graph extends to infinity in both the x- and y-directions. However, when the graph has a vertical asymptote at each end of its domain, it would have an arrow pointing upward, but not sideways.

It is difficult to tell from this graph what the intention is. It appears that there may be vertical asymptotes at x = -5 and at x = 2. If that is the case, then the domain is restricted to the interval ...

 -5 < x < 2

  (-5, 2) in interval notation

_____

The attachment is an example of a function that might give rise to a graph like this.

Answer:

630. Based on the given conditions, formulate: 35 * 6 + 7 + 5 Cal

Step-by-step explanation:

Answer:

Step-by-step explanation:

630 minutes

Answer:

3

Step-by-step explanation:

The equation that states the sum of the tickets sold is -

30x + 45y = 60900.

We have concert promoter.

We have to write an equation that states that the total amount received from the sale, which is 60,900 dollars.

The equation modelling is a process of writing a mathematical equation from a mathematical statement involving variables, constants etc.

According to the question -

Money earned from $30 tickets = $30x

Money earned from $45 tickets = $45y

Total money from 1780 tickets = $60,900

Therefore -

30x + 45y = 60900

Hence, the equation that states the sum of the tickets sold is -

30x + 45y = 60900.

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[ The given question is incomplete, the complete question is

A concert promoter needs to make $60,900 from the sale of 1780 tickets. The promoter charges $30 for some tickets and $45 for the others. Let x represent the number of $30 tickets and y represent the number of $45 tickets. Write an equation that states that the total amount received from the sale is 60900 dollars.]