a study population includes 2200 butterflies, 1400 fruit flies, and 800 bees. which sample best represents the population?

Answer:

B) 56

Step-by-step explanation:

There are 16 ounces in 1 pound, so first you must convert the 28 pounds to ounces. You do this by multiplying 28 and 16.

28 × 16 = 448

Next, divide 448 by 8 to find out how many servings there are.

448 ÷ 8 = 56

Answer:

\(\frac{\sqrt{2 + \sqrt{3} } }{2}\)

The exact value of \(sin\frac{5\pi }{12}\) is \(\frac{\sqrt{2+\sqrt{3} } }{2}\).

The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers.

According to the given question, we have

A trigonometric function, \(sin\frac{5\pi }{12}\)

Now, the exact value of \(sin\frac{5\pi }{12}\)   is given by

\(sin\frac{5\pi }{12} = sin\frac{\frac{5\pi }{6} }{2}\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} =\)±\(\sqrt{\frac{1-cos\frac{5\pi }{6} }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2}\) =±\(\sqrt{\frac{1-cos(\pi -\frac{\pi }{6}) }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} =\) ±\(\sqrt{\frac{1+cos\frac{\pi }{6} }{2} }\)

⇒ \(sin\frac{\frac{5\pi }{6} }{2} =\) ± \(\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2}\) =± \(\sqrt{\frac{2+\sqrt{3} }{4} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} = \frac{\sqrt{2+\sqrt{3} } }{2}\)   (considering positive value)

Since, \(sin\frac{5\pi }{12}\) lies in first quadrant and sin is positive in first quadrant. Therefore, we will consider only positive value.

Hence, the exact value of \(sin\frac{5\pi }{12}\) is \(\frac{\sqrt{2+\sqrt{3} } }{2}\).

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Angle IKH must be right angle since line IH is the diameter of the circle.

A right angle is an angle that measures exactly 90 degrees, or a quarter of a full turn.

In the given diagram, we can see that line IH is the diameter of the circle.

Also if line IH is the diameter, then the angle at the circumference formed by the lines joining the diameter of the circle must be 90 degrees.

So angle KHI + angle KIH + angle IKH = 180 (sum of angles in a triangle)

angle KHI + angle KIH + 90 = 18

Thus, angle IKH must be right angle since line IH is the diameter of the circle, and angle IBH must also be 90 degrees.

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Answer:

they all fit correctly

Answer:

c

Step-by-step explanation:

in set be most of the dots are spread out whereas in set a the points are more bunched up

Answer:

C

Step-by-step explanation:

Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:

p * q = k

where k is the constant of variation.

Given that p is 29 when q is 25, we can substitute these values into the equation:

29 * 25 = k

725 = k

Now, let's determine the value of q when p is equal to 5:

p * q = k

5 * q = 725

Dividing both sides of the equation by 5:

q = 725 / 5

q = 145

Therefore, when p is equal to 5, q is equal to 145.

Step-by-step explanation:

Answer:p1q1=p2q2

q1=25,p1=29;

p2=5,q2=?;

q2=p1q1/p2;

q2=25*29/5;

q2=29*5;

q2=145.

Step-by-step explanation:

Solution for the question 2 :

It is given that ,

The population after n years is given by exponential function ,

Population after 9 years is calculated as,

Thus the population after 9 years is 956 .

Answer:

The answer is 10.

Answer:

n =28

Step-by-step explanation:

subtract 32 from both sides to get n=28

n=28

Hope this helps!!! :)

The coordinates of the midpoint M are (-1, 4).

To find the midpoint M of the line segment AB with endpoints A(2, 1) and B(-4, 7), we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint M(x, y) of two points A(x₁, y₁) and B(x₂, y₂) can be found by taking the average of their respective x-coordinates and y-coordinates:

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

Let's apply the formula to find the midpoint M of AB:

x = (2 + (-4)) / 2

= -2 / 2

= -1

y = (1 + 7) / 2

= 8 / 2

= 4

Therefore, the coordinates of the midpoint M are (-1, 4).

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\({\huge{\fbox{\tt{\green{Answer}}}}}\)

______________________________________

To find the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates. So, for the line segment AB with endpoints A = (2, 1) and B = (-4, 7), the midpoint M is:

→ M = ((2 + (-4)) / 2, (1 + 7) / 2)

M = (-1, 4)

Therefore, the midpoint of the line segment AB is M = (-1, 4).

______________________________________

Answer:

C

Step-by-step explanation:

let x be number of adults and y the number of underage , then

x + y = 350 → (1)

6x + 4y = 1600 → (2)

multiplying (1) by - 4 and adding to (2) will eliminate y

- 4x - 4y = - 1400 → (3)

add (2) and (3) term by term to eliminate y

(6x - 4x) + (4y - 4y) = 1600 - 1400

2x + 0 = 200

2x = 200 ( divide both sides by 2 )

x = 100

the number of adults who attended is 100

Given:

Parent function is \(f(x)=5^x\).

New function is \(y=-2(5)^{3x}+8\).

To find:

The equation of function after each transformation.

Solution:

We have,

\(f(x)=5^x\)

The equation of parent function is

\(y=5^x\)

1. \(y=5^{3x}\)             (Horizontal compression by factor 3)

2. \(y=2(5)^{3x}\)         (Vertical stretch by factor 2)

3. \(y=-2(5)^{3x}\)         (Reflected across x-axis)

4. \(y=-2(5)^{3x}+8\)        (Shift 8 units above)

Therefore, these are the required answers.

im pretty sure its 8.94

q varies inversely as x: qx = k, such k is constant

Given values:

To determine the constant of variation, substitute the first two given values of q and x to the equation of variation.

To determine the value of q, substitute the second given value of x together with the constant of variation.

Answer:

Wxndy~~

Thus, the probability of drawing 2 red balls (2 successes) from the urn is 1/12.

To calculate the probability of 2 successes (drawing 2 red balls) from the urn, we'll use the following terms: total balls, red balls, and combinations.

There are 9 balls in the urn, 3 of which are red.

To find the probability of 2 successes, we need to determine the number of successful combinations and divide that by the total possible combinations.

Successful combinations: Choose 2 red balls from 3, which can be written as C(3,2) = 3! / (2! * (3-2)!) = 3.

Total possible combinations: Choose 2 balls from 9, which can be written as C(9,2) = 9! / (2! * (9-2)!) = 36.

Now, divide the successful combinations by the total possible combinations to find the probability of 2 successes:

Probability = (Successful combinations) / (Total possible combinations) = 3 / 36 = 1/12.

So, the probability of drawing 2 red balls (2 successes) from the urn is 1/12.

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To find a percentage of a given value, we multiply the value by the percentual value and then divide by 100. We want to calculate 18.2% of 133, therefore, we have the following calculation:

An individual that weights 133 pounds and has 18.2% of body fat has 24.2 pounds of fat.

The equation of the parabola that intersects the x-axis at points (-1, 0) and (3,0) is y = 0.

Given that a parabola intersects the x-axis at points (-1, 0) and (3,0).We know that, when a parabola intersects the x-axis, the y-coordinate of the point on the parabola is 0. Therefore, the two x-intercepts tell us two points that are on the parabola.Thus the vertex is given by:Vertex is the midpoint of these x-intercepts=(x_1+x_2)/2=(-1+3)/2=1The vertex is the point (1,0).Since the vertex is at (1,0) and the parabola intersects the x-axis at (-1,0) and (3,0), the axis of symmetry is the vertical line passing through the vertex, which is x=1.We also know that the parabola opens upwards because it intersects the x-axis at two points.To find the equation of the parabola, we can use the vertex form:y = a(x - h)^2 + kwhere (h, k) is the vertex and a is a constant that determines how quickly the parabola opens up or down.We have h=1 and k=0.Substituting in the x and y values of one of the x-intercepts, we get:0 = a(-1 - 1)^2 + 0Simplifying, we get:4a = 0a = 0Substituting in the x and y values of the other x-intercept, we get:0 = a(3 - 1)^2 + 0Simplifying, we get:4a = 0a = 0Since a = 0, the equation of the parabola is:y = 0(x - 1)^2 + 0Simplifying, we get:y = 0Hence the equation of the parabola that intersects the x-axis at points (-1, 0) and (3,0) is y = 0.

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What is the standard form of the parabola?

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Answer:

3

Step-by-step explanation:

12 / 4 = 3

4 can go into 12 three times, so the fraction 12/4 is equal to 3

The probability of drawing a face card or a 5 is 4/13. Option a is correct.

A card is drawn at random from a well-shuffled deck of 52 cards. To find the probability of drawing a face card or a 5, we need to count the number of cards in a deck that are face cards or 5s and divide that by the total number of cards in a deck.

There are 16 such cards (12 face cards and 4 5s) in a deck and 52 total cards. So the probability of drawing a face card or a 5 is:

16/52 which can be simplified to 4/13.

The probability is 4/13. Option a is correct.

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Answer:

x=2

Step-by-step explanation:

4x+6+3=17

4x+9=17

4x+9-9=17-9

4x=8

4x/4=8/4

x=2

The sentence is a compound sentence.

To determine if this is a complex or compound sentence, let's analyze its structure. The sentence is: "We normally think that drones can only be used for fun, but they can be used for multiple services."

1. Identify the clauses in the sentence.
- Clause 1: "We normally think that drones can only be used for fun"
- Clause 2: "they can be used for multiple services"

2. Determine the relationship between the clauses.
- The two clauses are connected by the coordinating conjunction "but."

Since the sentence contains two independent clauses connected by a coordinating conjunction, this is a compound sentence.

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The anti-derivative of g(x) is G(x) = x3 + 3x2 and the anti-derivative of f(x) is F(x) = x2 + 2x.

Part a:

The value of the integral from 0 to 6 of f(x)dx is 16. This can be calculated using the Fundamental Theorem of Calculus (FTC) which states that the integral of a function is equal to the anti-derivative of that function evaluated at the upper limit minus the anti-derivative of that function evaluated at the lower limit. This can be written as:

∫f(x)dx = F(6) - F(0)

The anti-derivative of f(x) is F(x) = x2 + 2x, so the value of the integral is:

∫f(x)dx = (62 + 2*6) - (02 + 2*0) = 36 - 0 = 16.

Part b:

The value of the integral from 4 to 9 of g(x)dx is 20. This can be calculated using the FTC which states that the integral of a function is equal to the anti-derivative of that function evaluated at the upper limit minus the anti-derivative of that function evaluated at the lower limit. This can be written as:

∫g(x)dx = G(9) - G(4)

The anti-derivative of g(x) is G(x) = x3 + 3x2, so the value of the integral is:

∫g(x)dx = (93 + 3*9) - (43 + 3*4) = 729 - 168 = 20.

Part c:

The value of the integral from 4 to 9 of 2*g(x) - f(x)dx is 68. This can be calculated using the FTC which states that the integral of a function is equal to the anti-derivative of that function evaluated at the upper limit minus the anti-derivative of that function evaluated at the lower limit. This can be written as:

∫(2*g(x) - f(x))dx = 2*G(9) - F(9) - [2*G(4) - F(4)]

The anti-derivative of g(x) is G(x) = x3 + 3x2 and the anti-derivative of f(x) is F(x) = x2 + 2x, so the value of the integral is:

∫(2*g(x) - f(x))dx = (2*(93 + 3*9) - (92 + 2*9)) - [2*(43 + 3*4) - (42 + 2*4)]

= (1854 - 19) - (544 - 16) = 1735 - 528 = 68.

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Answer:

tape

Step-by-step explanation:

tape is tape

To prove the statement "If 2x + 3 < 7, then x < 2" indirectly, we assume the negation of the conclusion (x ≥ 2) and then show that it leads to a contradiction with the given premise (2x + 3 < 7). Here's the indirect proof:

Indirect Proof:

1. Assume the negation of the conclusion: x ≥ 2.

2. If x ≥ 2, then we can multiply both sides of the inequality by 2 to maintain the inequality: 2x ≥ 4.

3. Adding 3 to both sides of the inequality, we get: 2x + 3 ≥ 7.

4. Since we assumed x ≥ 2, and we obtained 2x + 3 ≥ 7, this contradicts the given premise 2x + 3 < 7.

5. The contradiction shows that our assumption (x ≥ 2) must be false.

6. Therefore, it follows that x < 2.

Thus, we have proven the statement "If 2x + 3 < 7, then x < 2" indirectly by assuming the negation of the conclusion and deriving a contradiction with the given premise.

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Answer:

-5>x

Step-by-step explanation:

-8>x-3

Add 3 to each side

-8+3>x-3+3

-5>x

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

The average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.

Step-by-step explanation:

To obtain the average rate of change of a function from x1 to x2, you can use the formula:

Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)

In this case, you are given the function f(x) = -2x + 15, and the values x1 = 0 and x2 = 3.

First, calculate the values of f(x1) and f(x2) by substituting x1 and x2 into the function:

f(x1) = -2(0) + 15 = 15

f(x2) = -2(3) + 15 = 9

Now we can substitute these values into the formula for average rate of change:

Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)

= (9 - 15) / (3 - 0)

= -6 / 3

= -2

Therefore, the average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.

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Answer:

Step-by-step explanation:

Answer: Y = 1/3x^2 - 4x + 12

Step-by-step explanation:

Hope this helps, sorry I don't have an explanation...

The numbers 3, 4, and 7 likely refer to specific shapes that are programmed into the toy's code and represented by specific patterns of 1s and 0s.

To understand how codecs work, it is helpful to think of them as translators. When digital information is transmitted, it is often compressed to reduce the amount of data that needs to be transmitted.

In the case of Tracy the turtle's shape toy, the codecs are responsible for encoding the shapes into digital information that can be transmitted to the toy's display. The toy's display then decodes this information to display the shapes. The numbers 3, 4, and 7 likely refer to specific patterns of 1s and 0s that represent the shapes programmed into the toy.

In mathematical terms, codecs use various algorithms to compress and decompress digital information. These algorithms often involve complex mathematical formulas that are used to analyze and reduce the amount of data that needs to be transmitted.

Codecs are an essential component of digital communication and are used in everything from video streaming to text messaging.

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Complete Question:

Does anyone know 3. 4. 7 Kid's Shapes Toy for Tracy the turtle in codecs?