A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?

Solving the given data from topics including statistics, linear equations, geometry, and probability, we get, (a) a Graph showing earnings relation. (b) Same savings in 10 weeks. (c) Weak negative association. (d) 180° counterclockwise rotation. (e) P(No Heads) = 85%.(f)  FD ≈ 2.37. (g) Three halves. (h) Predict 40 occurrences.

a) The graph that shows the relationship between the amount of money the painter earns and the number of rooms he paints is the one with a coordinate grid, an x-axis labeled "Rooms Painted," a y-axis labeled "Amount of Money Earned," and a line going from the point (0, 60) through the point (3, 120).

b) To determine the number of weeks when sibling A and sibling B will have the same amount of money in their savings accounts, we need to solve the equation:

7x + 40 = 5x + 60.

7x + 40 = 5x + 60

2x = 20

x = 10 weeks

c) The scatter plot showing the cupcake pricing data exhibits a weak, negative linear association.

d) The polygon ABCD is rotated 180° counterclockwise to get polygon A'B'C'D'.

e) P(No Heads): To find the probability of getting no heads, we add the frequencies of the outcomes "Tails, Tails" and "Tails, Heads," which is 35 + 50 = 85. So the probability of getting no heads is 85%.

f) To determine the measurement of FD in triangle ABC ~ triangle DEF, we can use the ratios of corresponding sides. FD / DE = BC / AB. Plugging in the values, FD / 3.3 = 7.9 / 11. Solving for FD, we find FD ≈ 2.37.

g) The slope of the line that contains the points (-3, -1) and (3, 8) can be found using the formula:

slope = (y2 - y1) / (x2 - x1).

Plugging in the values, we get

(8 - (-1)) / (3 - (-3)) = 9 / 6 = three halves.

h) When rolling a fair, 6-sided die 60 times, the number of times it will land on a number greater than 2 can be estimated by considering that there are 4 out of 6 sides with numbers greater than 2. So the prediction would be 60 * (4/6) = 40 times.

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A function's behaviour as x approaches positive or negative infinity might reveal vertical, horizontal, and oblique asymptotes. As x approaches a value, vertical asymptotes occur. As x approaches infinity, horizontal asymptotes occur. As x approaches infinity, oblique asymptotes occur.

To identify vertical asymptotes, we examine the behavior of the function as x approaches a particular value. For example, let's consider the function f(x) = 1 / (x - 2). As x approaches 2, the denominator becomes very close to zero, causing the function to approach infinity or negative infinity. Hence, x = 2 is a vertical asymptote.

Horizontal asymptotes are determined by analyzing the behavior of the function as x approaches positive or negative infinity. For instance, let's take the function f(x) = (3x^2 + 2x - 1) / (2x^2 + x + 1). As x approaches infinity or negative infinity, the highest power terms dominate the function. In this case, both the numerator and denominator have the same highest power term (x^2), so the ratio of the coefficients determines the horizontal asymptote. Therefore, the horizontal asymptote for this function is y = 3/2.

Oblique asymptotes occur when the function approaches a non-horizontal line as x approaches positive or negative infinity. Consider the function f(x) = (3x^2 + 2x + 1) / (x + 1). By performing polynomial long division or synthetic division, we can see that the quotient is 3x + 1. As x approaches infinity or negative infinity, the function approaches the line y = 3x + 1. Hence, y = 3x + 1 is an oblique asymptote for this function.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.

The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.

The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.

The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.

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The polynomial function will be y = (x⁴-14x³+70x²-144x+104)

2 and 5+i are the roots of the given polynomial and the multiplicity of 2 and 5+i are 2 and 1 respectively.

Thus, the general form of the polynomial will be given as:

y = (x-2)² (x-(5+i)) (x-(5-i))                                  [as (5-i) is conjugate of (5+i)]

y = (x²+4-4x) (x-5-i) (x-5+i)

y = (x²-4x+4) (x²-5x+xi-5x+25-5i-xi+5i-i²)

y = (x²-4x+4) (x²-10x+25+1)                                            [as i²= -1]

y = (x²-4x+4) (x²-10x+26)  

y = (x⁴-10x³+26x²-4x³+40x²-104x+4x²-40x+104)

y = (x⁴-14x³+70x²-144x+104)

Thus, the polynomial is y = (x⁴-14x³+70x²-144x+104)

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Answer:

Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1

Answer:

EF is 11

Step-by-step explanation:

3x-4=x+6

2x=10

X=5

5+6=11

Answer: EF = 16

Step-by-step explanation:

Formula -  EF = 1/2(AB +DC)

x +6+1/2((2x-9)+(x+5))

x=16

Answer:

The last one

Step-by-step explanation:

The last one is the only one in standard form.

Answer:

X=10

Step-by-step explanation:

Lol I hate algebra but 725-475=250 Then 250/25=10

But can you show what the select answers are?

Answer:

that does not make sense ?????????????????????????????????????????

Answer:

65 or sixty-five.

Step-by-step explanation:

32 + 18 + 15 = 65

Because 32 + 18 = 40 and 40 + 15 = 65.

The value of the expression (a+b)³ - 12, when a = 1 and b = 2, is 15.

An "Algebraic-Expression" is a mathematical phrase that contains variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. It is used to represent a mathematical relationship or quantity.

We first simplify the algebraic-expression (a+b)³ - 12 using the formula for the cube of a binomial, which is : (a+b)³ = a³ + 3a²b + 3ab² + b³;

Substituting this into the original expression,

We get,

(a+b)³ - 12 = (a³ + 3a²b + 3ab² + b³) - 12

Now, we substitute a = 1 and b = 2,

We get,

(1+2)³ - 12 = 3³ - 12 = 27 - 12 = 15

Therefore, The value of the expression is 15.

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The given question is incomplete, the complete question is

First simplify the algebraic expression (a+b)³ - 12, then evaluate the expression at a = 1 and b = 2.

Answer:

350

Step-by-step explanation:

Okay, so we have a total of 639 tickets that they were sold. Using both students and adults tickets.

And also we know that the students r 61 fewer than the adults. So X minus 61.

X -61 = 289.

350 -61= 289

It's gonna be a total of 289. And we can check our results, X plus Y. So 350 plus 289. It's gonna be a total of 639.

The decimal equivalent of the hex number 0x3F is 63.

To convert the hex number 0x3F to its decimal equivalent, we need to multiply each digit by the corresponding power of 16 and sum them up.

Starting from the rightmost digit, we have:

Now, we multiply each digit by the corresponding power of 16:

Finally, we sum up the results:

(15 * 1) + (3 * 16) = 15 + 48 = 63

Therefore, the decimal equivalent of the hex number 0x3F is 63.

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Answer:

30

Step-by-step explanation:

red : blue = 5:3

since difference between 5&3 is automatically 2....then just add 0 to 3

The product rule must be used to find the number of ways to form this committee.

To find the number of ways to form a committee consisting of one representative from each of the 50 states in the United States, where the representative from a state is either the governor or one of the two senators from that state, we  must use the product rule. This is because for each state, there are three choices (governor or one of the two senators), and these choices are made independently for all 50 states.

So, you simply multiply the number of choices for each state together:

3 choices per state × 50 states = 3⁵⁰ possible ways to form the committee.

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Answer:

  B.  -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

  f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

  1/2x +1 = √(x +2)

Squaring both sides, we get ...

  1/4x² +x + 1 = x +2

  1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

  x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

  (x -2)(x +2) = 0 . . . . factor the difference of squares

  x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

Additional comment

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

  (ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

  y = mx + b . . . . . line with slope m and y-intercept b

Answer:

36 x⁸y⁶

 √2/2

Step-by-step explanation:

Factor 1296 into its prime factors

           1296 = 24 • 34 

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

           1296 = 24 • 34 

No factors remain inside the root !!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

           36 = 22 • 32 

At the end of this step the partly simplified SQRT looks like this:

         36 √(x¹⁶y¹²)

STEP2:Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

(2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      √(x⁸)=x⁴

     √(x^-6)=x^-3

 Applying these rules to our case we find out that

      SQRT(x¹⁶y¹²) = x⁸y⁶

Combine both simplifications

      sqrt (1296x¹⁶y¹²) =  36 x⁸y⁶

Simplified Root : 36 x⁸y⁶ 

number 2)

3√2/3√4=

=3√2/3×2

=3√2/6

=3√2/6 ×3/3

=1√2/2

=√2/2

Answer:

D. Y < 2x - 1

Step-by-step explanation:

Answer:

y = -3/2x + 6

Step-by-step explanation:

We won't be able to figure out Y in number form, since we have a second variable, but we can figure it out in terms of X.

First, we have to subtract 6x from both sides

( -4y = -6x + 24 )

Then we have to divide both sides by -4

( y = -3/2x + 6 )

This is our final answer in terms of x

To find the distance of the squirrel from its initial position at t = 5.40 s, we can use the position vector equation:

r = [(0.280 m/s)t + (0.0360 m/s²)t²]i + (0.0190 m/s³)t³j

Substitute t = 5.40 s into the equation to find the position vector at that time.

r = [(0.280 m/s)(5.40 s) + (0.0360 m/s²)(5.40 s)²]i + (0.0190 m/s³)(5.40 s)³j

Calculate the values to find the position vector.

Next, we can calculate the magnitude of the squirrel's velocity at t = 5.40 s.

The velocity vector is the derivative of the position vector with respect to time:

v = dr/dt

Differentiate the position vector equation with respect to t to find the velocity vector:

v = [(0.280 m/s) + 2(0.0360 m/s²)(5.40 s)]i + 3(0.0190 m/s³)(5.40 s)²j

Substitute t = 5.40 s into the equation and calculate the values to find the velocity vector.

To find the magnitude of the velocity, we can calculate:

|v| = sqrt(vx² + vy²)

where vx and vy are the x and y components of the velocity vector.

Calculate the magnitude of the velocity using the values of vx and vy.

Finally, to find the direction of the squirrel's velocity at t = 5.40 s, we can calculate the angle it makes with the positive x-axis.

θ = arctan(vy / vx)

Calculate the angle using the values of vx and vy and express it in degrees counterclockwise from the positive x-axis.

These calculations will give you the distance of the squirrel from its initial position, the magnitude of its velocity, and the direction of its velocity at t = 5.40 s.

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A) Player 1 does not have a dominant strategy because if player 2 plays left, then player 1 should play bottom but if player 2 plays right then player 1 should play top. For a dominant strategy to existing player 1 would have to chose top or bottom regardless of what player 2 does.

B) Player 2 has a dominant strategy of left because this always produces a better outcome for this player. Specifically, if player 1 plays top player 2 is better off playing left (since 5 > 4) and if player 1 plays bottom player 2 is still better off playing left (since 4 > 3)

C) i) Top/Left is not a Nash Equilibrium because if player 2 plays left then player 1 would be better off playing bottom and it only takes one player wanting to deviate to ruin a potential Nash Equilibrium.

Simplest 3 varieties of stresses can exchange the composition of an equilibrium aggregate: (1) a change inside the concentrations (or partial pressures) of the additives by using adding or doing away with reactants or merchandise, (2) an alternate in the general strain or quantity, and (three) an exchange within the temperature of the gadget.

To learn more about A) Player 1 does not have a dominant strategy because if player 2 plays left, then player 1 should play bottom but if player 2 plays right then player 1 should play top. For a dominant strategy to existing player 1 would have to chose top or bottom regardless of what player 2 does.

B) Player 2 has a dominant strategy of left because this always produces a better outcome for this player. Specifically, if player 1 plays top player 2 is better off playing left (since 5 > 4) and if player 1 plays bottom player 2 is still better off playing left (since 4 > 3)

C) i) Top/Left is not a Nash Equilibrium because if player 2 plays left then player 1 would be better off playing bottom and it only takes one player wanting to deviate to ruin a potential Nash Equilibrium.

Simplest 3 varieties of stresses can exchange the composition of an equilibrium aggregate: (1) a change inside the concentrations (or partial pressures) of the additives by using adding or doing away with reactants or merchandise, (2) an alternate in the general strain or quantity, and (three) an exchange within the temperature of the gadget.

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since the year 2000, the law no longer permits people to indicate multiple racial identities to the u.s. census but must select just one. The statement is false.

US Census is a typical comprehensive count of a population specifically: an annual population count conducted by the government.

Now,

According to the laws of the US, it is true that the law permits people to indicate multiple racial identities to the US Census, in order to complete the data and determine the population of the States.

Hence, it is false that: since the year 2000, the law no longer permits people to indicate multiple racial identities to the u.s. census but must select just one.

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Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

The steps are as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

Length = width = 8 ft.

height = 3 ft.

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

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Answer:

\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)

Step-by-step explanation:

\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)

Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:

\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)

I am joyous to assist you anytime.

The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now., We know that;

cos A = Base / Hypotenuse

cos A = 3 / 4.24

And, cos B = 3 / 4.24

Thus, The value of expression cos A / cos B is,

⇒ cos A / cos B = (3/4.24) / (3/4.24)

⇒ cos A / cos B = 1

So, The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

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0.01 N of work is to be done to move the chopsticks to a distance of 0.01 m

0.02m far the tips of the chopsticks move.

What is work done?

Every time a force pushes something over a distance, work is done. By multiplying the force by the distance moved in the force's direction, you may determine the energy transferred, or work done. Energy transmitted equals work done, which is force times the distance travelled in the force's direction.

1. WD = F×d

      = 1×0.01

      = 0.01 N

2. d = WD/F

   = 0.01/(0⋅5)

   = 0.02m

0.02m far the tips of the chopsticks move.

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Answer:

(fog)(x)= -x^2-7x-5

Step-by-step explanation:

According to what I've learned that could be re-written as f[g(x)]

First, I would plug in the function g(x) into the function f(x)

f(x)=-x-12

 Substitute all values of x for (x^2+7x-7)

f(x^2+7x-7)= -(x^2+7x-7)-12

Now you simplify

= -x^2-7x+7-12

Combine like terms

= -x^2-7x-5

Answer:

-14x+10

Step-by-step explanation:

-2(7x - 5)

-14x+10

well thats hard

Answer:

\(\rm{-14x+10\)

Step-by-step explanation:

Hi there!

The Distributive Property states that

a(b+c)=ab+ac

We multiply a by everything inside the parentheses.

-2(7x-5)

Multiply -2 by 7x and -5:

-14x+10

Thus, \(\rm{-14x+10\) is the answer.

\(\star\star\)Hope it helps!

Enjoy your day!

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