the avis company is a car rental company and is located three miles from the los angeles airport (lax). avis is dispatching a bus from its offices to the airport every 4 minutes. the average traveling time (a round trip) is 24 minutes. how many avis buses are traveling to and from the airport? note: round your answer to the nearest whole number.

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.

Kim caught a fish of length = 9/10 m

Doug caught a fish of length = 2/3 as long as Kim's fish.

                                                 = 2/3 x 9/10

                                                 = 18 / 30

                                                 = 3/5

Thus, Doug caught a fish that was 3/5 meters long.

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The value of l, k, and c are 1, 284.2 and 4.0000 respectively. When f = 10%, V = -0.0032 mV, When f = 50%, V = 0.0092 mV, When f = 90%, V = -0.0193 mV.

(a) The formula given for f(V) is the logistic function, which is of the form f(V) = L / (1 + C*e^(-kV)). Therefore, we can compare this to the given formula to obtain:
L = 1
k = 1421/5 = 284.2
C = 4
Rounding C to four decimal places, we get C = 4.0000.

(b) To find the voltages at which 10%, 50%, and 90% of the channels are open, we can use the logistic function formula and solve for V when f = 0.1, 0.5, and 0.9 respectively.
For f = 0.1:
0.1 = 1 / (1 + 4*e^(-284.2V))
0.9 + 4*e^(-284.2V) = 10
e^(-284.2V) = 1.525
-284.2V = ln(1.525)
V = -0.0032 mV
For f = 0.5:
0.5 = 1 / (1 + 4*e^(-284.2V))
1 + 4*e^(-284.2V) = 2
e^(-284.2V) = 0.25
-284.2V = ln(0.25)
V = 0.0092 mV
For f = 0.9:
0.9 = 1 / (1 + 4*e^(-284.2V))
4*e^(-284.2V) = 9
e^(-284.2V) = 2.25
-284.2V = ln(2.25)
V = -0.0193 mV
Rounding these answers to two decimal places, we get:
When f = 10%, V = -0.0032 mV.
When f = 50%, V = 0.0092 mV.
When f = 90%, V = -0.0193 mV.

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Answer:

-1,2,1,-1

3,4,5,5

The other answer is for the question after this one on the edge assignment

Answer:

1ST ANSWER

0 10 8 2

2ND ANSWER

0 3 -2 5

Got it right on edg

Answer:

61 miles

Step-by-step explanation:

Since the distance Mia travels is constant, we can find the distance travelled over four days by multiplying 15 1/4 by 4:

(15 1/4) * 4 = 61

Thus, Mia travels 61 miles in 4 days

(12x+5y)/3z

substitute in values

(12(12) + 5(6)) / 3(3)

simplify

(144 + 30) / 9

add

174 / 9

factor out a 3

58 / 3

Hope this helps :)

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- Jeron

We can use the fact that 32 is equal to 2 raised to the power of 5:

32 = 2^5

Substituting this into the equation gives:

16^x = 2^5

We can then rewrite 16 as 2^4, since 16 is equal to 2 raised to the power of 4:

(2^4)^x = 2^5

Simplifying the left side of the equation gives:

2^(4x) = 2^5

Now we can see that the bases of both sides of the equation are equal, so we can set the exponents equal to each other:

4x = 5

Dividing both sides by 4 gives:

x = 5/4

Therefore, the solution to the equation 16^x = 32 is x = 5/4.

Answer:

that equals 0.0801

Step-by-step explanation:

but im not good at rounding so yeah

The bowl is in the shape of a sphere.

So, the three dimensional figure of the bowl can be drawn as,

The three dimensional figure of the beaker can be drawn as,

Answer:

D I think

Step-by-step explanation:

Answer:

D, none of the above.

Step-by-step explanation:

6 is a square root of 36, which is a perfect square.

12 is a square root of 144, which is a perfect square.

4 is a square root of 16 AND a perfect square of 2.

Therefore the answer is none of the above.

Answer:

will you go out with me

Step-by-step explanation:

i will make pumpkin pie

Answer:To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.

Step-by-step explanation:

Answer:

51 Yards

Step-by-step explanation:

Each side is 36 yards. split the square in half(corner to corner) making two right triangle use the pythagorean theorem (\(A^{2}\) + \(B^{2}\) =\(C^{2}\) ) to solve.

\(36^{2}\)+\(36^{2}\)= \(C^{2}\)

1296+1296= 2592

√2592= 50.911

50.911 rounds up to 51

The length of each walkway would be,

⇒ 51 yards

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

A school has a square courtyard and wants to create diagonal walkways.

Here, The length of each side of the courtyard is 36 yards.

Now, The length of each walkway would be,

⇒ √ 36² + 36²

⇒ √ 1296 + 1296

⇒ √ 2592

⇒ 50.91

⇒ 51 yards

Thus, The length of each walkway would be,

⇒ 51 yards

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Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

Yes, they can be added and simplified further. 2√3 + 5√3 = 7√3 .

Take √3 as common factor:

2√3 + 5√3

(2 + 5)√3

7√3

The two irrational numbers sums to form another irrational number 7√3 . In decimals that is 12.12435...

\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Yes, The terms assigned above are alike so they can be added easily by simple algebric method where root number can be treated as a variable.

\(\qquad \sf  \dashrightarrow \: 2 \sqrt{3} + 5 \sqrt{3} \)

\(\qquad \sf  \dashrightarrow \: (2 + 5) \sqrt{3} \)

\(\qquad \sf  \dashrightarrow \: 7 \sqrt{3} \)

The probability of Tabria randomly selecting a peanut butter cookie and then an oatmeal cookie is 8/35 or 8 in 35 chance

The probability of selecting a peanut butter cookie first is 8/29, since there are 8 peanut butter cookies and 29 total cookies of all variety in the bag. Then, the probability of selecting an oatmeal cookie after eating a peanut butter cookie is 8/28, since there are now only 28 cookies remaining in the bag and 8 of them are oatmeal cookies. To find the combined probability, we multiply the individual probabilities:

8/29 × 8/28 = 8/35.

This means there is an 8 in 35 chance that Tabria will randomly select a peanut butter cookie and then an oatmeal cookie.

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Using Pythagoras theorem, the size of the TV will be 65 inches.

What is Pythagorean Theorem?

The Pythagorean Theorem is a fundamental concept in mathematics that describes the relationship between the sides of a right triangle. It states that in any right triangle, the sum of the squares of the lengths of the two shorter sides (the legs) is equal to the square of the length of the longest side (the hypotenuse).

In equation form, the Pythagorean Theorem can be written as:

a² + b² = c²

where a and b are the lengths of the two legs and c is the hypotenuse.

Now,

We can use the Pythagorean theorem to find the diagonal measure of the television screen.

In this case, the height and width of the screen form the legs of a right triangle, so we can use the following equation:

(diagonal)² = (height)² + (width)²

Substituting the given values, we get:

(diagonal)² = (32)² + (57)²

(diagonal)² = 1024 + 3249

(diagonal)² = 4273

Taking the square root of both sides

diagonal = √(4273) ≈ 65.37

Therefore, the size of the TV screen, as measured diagonally, is approximately 65 inches (rounded to the nearest whole number).

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Answer:

4%

Step-by-step explanation:

2.5 divided by 2.6 equals .04

Answer:

4%

Step-by-step explanation:

2.5/2.6=0.4=4%

Answer:

y = 5x + 11

Step-by-step explanation:

- first rearrange -5x + y = 2 and you'll have y = 5x + 2

- the slopes of parallel lines are equal so the slope of the line is 5

so far we have y = 5x + b

- to get b, replace the values in the equation by the values of the given point

(1) = 5(-2) + b

- rearrange and calculate, b = 11

y = 5x + 11

Answer:

B

Step-by-step explanation:

The height of water left in the can  is determined as 9.9 cm.

option B.

The height of water left in the can is calculated by the difference between the volume of a cylinder and volume of a cone.

The volume of the cylindrical can is calculated as;

V = πr²h

where;

V = π(4.6 cm)²(13.5 cm)

V = 897.43 cm³

The  volume of the cone is calculated as;

V = ¹/₃ πr²h

V = ¹/₃ π(5.1 cm)²( 8.7 cm )

V = 236.97 cm³

Difference in volume =  897.43 cm³ - 236.97 cm³

ΔV = 660.46 cm³

The height of water left in the can  is calculated as follows;

ΔV = πr²h

h = ΔV /  πr²

h = ( 660.46 ) / (π x 4.6²)

h = 9.9 cm

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The height of the candle after x hours is given by the equation y = 2x + 14.

Let's first convert the time interval to hours. There are 60 minutes in an hour, so 30 minutes is equivalent to 0.5 hours.

After x hours, the candle will have burned down by 2x inches (since it burns 1 inch every 0.5 hours).

If y is the total height of the candle, then we can write the equation:

y - 2x = 14

We can solve for y:

y = 2x + 14

So the height of the candle after x hours is given by the equation y = 2x + 14.

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The value that a number produces when it is multiplied by itself is known as the square root of the number. The square root is denoted by the radical sign. For instance, 16 Equals 4. The root symbol or surds is another name for the radical symbol.

The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."

The square root of 50 is 7.07106781187.

The square root of 147 is 12.124355653

The square root of 96 is 9.79795897113

The square root of -8 is 2.82842712475i

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The variance of P(T ≤ 25) is equal to 0.6431 * (1 - 0.6431), which is approximately 0.2317 (rounded to four decimal places).

In a Poisson process with arrival rate λ, the waiting time until the k-th arrival follows a gamma distribution with parameters k and 1/λ.

In this case, we want to find the waiting time until the third arrival, which follows a gamma distribution with parameters k = 3 and λ = 0.2. The mean and variance of a gamma distribution with parameters k and λ are given by:

Mean = k / λ

Variance = k / λ^2

Substituting the values, we have:

Mean = 3 / 0.2 = 15 minutes

Variance = 3 / (0.2^2) = 75 minutes^2

So, the mean of T is 15 minutes and the variance of T is 75 minutes^2.

To find P(T ≤ 25), we need to calculate the cumulative distribution function (CDF) of the gamma distribution with parameters k = 3 and λ = 0.2, evaluated at t = 25.

P(T ≤ 25) = CDF(25; k = 3, λ = 0.2)

Using a gamma distribution calculator or software, we can find that P(T ≤ 25) is approximately 0.6431 (rounded to four decimal places).

Therefore, the variance of P(T ≤ 25) is equal to 0.6431 * (1 - 0.6431), which is approximately 0.2317 (rounded to four decimal places).

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The value of f(x) = 6.8 sin(x) 5.3 cos(x) maximum value is 31.52 and the minimum value is -31.52.

We may utilise the knowledge that the sum of two sine and cosine functions with the same period is always constrained by the values of their respective amplitudes to determine the maximum and lowest values of the function

f(x) = 6.8 sin(x) 5.3 cos(x).

More specifically, the product's maximum value happens when both functions have the same sign and its biggest absolute value, while its lowest value happens when both functions have the opposite sign and its smallest absolute value.

Sin(x) has an amplitude of 1, while cos(x) has an amplitude of 1.

Hence, the greatest value of f(x) occurs at x = π/4 or x = 5π/4 (and at every multiple of 2π from there) when sin(x) and cos(x) have the same sign and their absolute values are both 1.

F(x) can have a maximum value of:

f(π/4) = 6.8 sin(π/4) 5.3 cos(π/4)

f(π/4) = 6.8(1/√2)(5.3/√2)

f(π/4) = 31.52

Similar to this, the smallest value of f(x) occurs at x = 3π/4 or x = 7π/4 (and at every multiple of 2π from there) when sin(x) and cos(x) have opposing signs and their absolute values are both 1. Hence, f(x) has the following minimal value:

f(3π/4) = 6.8 sin(3π/4) 5.3 cos(3π/4) = -6.8(1/√2)(5.3/√2) = -31.52

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This is an example of a correlation between the two variables, where they tend to change together in a predictable way, but it does not necessarily imply causation.

This is an example of a correlation between the two variables. When two variables are correlated, they tend to change together in a predictable way. In other words, when one variable goes up, the other tends to go up as well, or when one variable goes down, the other tends to go down as well.

It's important to note that correlation does not necessarily imply causation. Just because two variables are correlated, it does not mean that one causes the other. There may be other factors that influence both variables, or the correlation may be coincidental. To establish causation, a more rigorous study design and analysis is required.

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The given points are

These are complex numbers. They work as two-coordinates points because complex numbers have a real part and a complex part. The real part is the horizontal coordinate, and the complex part is the vertical coordinate.

To find the midpoint, we use the following formula

Answer:

- 9/35

Step-by-step explanation: