Convert 214 pounds to kilograms. Use 1 kg = 2.2 lb.

Answer:

y = -5

Step-by-step explanation:

The fraction of KM that is required to obtain 20% Vmax is [S] = 0.2 KM.

The Michaelis-Menten equation is given by: V = Vmax[S] / (KM + [S])where, V is the velocity of the reaction, Vmax is the maximum velocity of the reaction,[S] is the substrate concentration, and KM is the Michaelis constant of the enzyme.

Substituting V = 0.2V

max and rearranging the equation,

0.2Vmax = Vmax[S] / (KM + [S])

Multiplying both sides by

(KM + [S]),0.2V

max(KM + [S]) = Vmax[S]

Expanding the equation,

0.2VmaxKM + 0.2Vmax[S]

= Vmax[S]0.2VmaxKM

= 0.8Vmax[S]

Dividing both sides by

Vmax,0.2KM = 0.8[S]

Simplifying the equation,

[S] = 0.2 KM / 0.8[S] = 0.25 KM

Therefore, the fraction of KM that is required to obtain 20% Vmax is [S] = 0.2 KM, which is option (a).

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To calculate a rate, divide two quantities with different units; to calculate a unit rate, divide a rate by the quantity being measured.

What is rate ?

In mathematics, a rate is a ratio that compares two quantities with different units. It is typically expressed as the amount of change of one quantity with respect to another quantity. Rates are often used in the context of describing how quickly or slowly something changes over time or space.

To calculate a rate, we need to divide two quantities that have different units. For example, if we want to find the rate of a car's speed, we divide the distance traveled (in miles) by the time taken to travel that distance (in hours).

The formula for rate is:

rate = quantity / time

To calculate a unit rate, we need to divide a rate by the quantity being measured. For example, if the rate is the number of miles traveled per hour, the unit rate would be the number of miles traveled in one hour. To find the unit rate, we divide the rate by 1 hour.

The formula for unit rate is:

unit rate = rate / 1

When calculating rates or unit rates, it is important to make sure that the units of the quantities being divided are consistent. If the units are not the same, we need to convert them to the same unit before performing the division.

Therefore, to calculate a rate, divide two quantities with different units; to calculate a unit rate, divide a rate by the quantity being measured.

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Answer:

G

Step-by-step explanation:

An equation of proportionality has the form

y = kx ← k is the constant of proportionality

y = 25x ← has this form with k = 25

y = 5x ← has this form with k = 5

The required equation is y = 25x with k = 25 → G

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

Answer:

121

Step-by-step explanation:

You are missing a parentheses

Assuming you just mean to close the parentheses

((5-(-4)^2)^2)

The first step is to complete the inside parentheses

PEMDAS

(5-(-4)^2)

Do the exponents first

(5-(16))

-11

Put this in the equation for (5-(-4)^2)

(-11) ^2

121

Answer:

8.373

Step-by-step explanation:

Cone

Find the volume of the cone

V = 1/3 pi r^2 h

r = d/2

r = 4/2

r = 2 inches

h = 6 inches

pi = 3.14

V = 1/3 * 3.14 * 2^2 *  6

V = 25.12

Half sphere

V = 1/2 (4/3) pi r^3

r = 2 from above calculation

pi = 3.14

V = 2/3 * 3.14 * 2^3

V = 2/3 * 3.14 * 8

V = 16.74

Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or

V = (4/3) * 3.14 * 2^3

V = 33.49 cubic inches

The difference in volume is 33.49 - 25.12 = 8.373

Answer:

Answer:17 (I think)

Because if you look at the problem below Y u can see the patter 5+3=8 8+3=11 contiously adding 3 you get 17

The price of a rake would be $10 if the price of a shovel is $30, according to the given relationship.

A situation can be used to quantify the connection between the costs of a rake, denoted by "r," and digging tools, denoted by "s." According to the information that was provided, the price of a rake is one third (3/3) higher than the price of a shovel.

This genuinely plans that in case the expense of a digging device is "s," the expense of a rake would be 33% of "s," which can be made as (1/3) * s. Thusly, the condition that tends to the association between the expense of a rake and the expense of a digging device is:

The cost of a rake is simply equivalent to one third of the cost of a shovel, according to this equation. Using this equation, we can determine how much a rake costs if we know how much a shovel costs. For example, expecting that a digging tool costs $30, the cost of a rake would be:

Because r = (1/3) * s = (1/3) * $30 = $10, the given relationship says that a rake would cost $10 if a shovel cost $30.

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The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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The dogs barks sounded like thunder

Answer:

As sly as a fox.

As quiet as a mouse.

Step-by-step explanation

Does that work¿

The solution for the given equation where d is a real number is -6 ± 2√7.

The given equation is (x + 6)² − 28 = 0.

To solve this equation, we will first add 28 to both sides of the equation.

Then the equation becomes:(x + 6)² = 28.

We then take the square root of both sides of the equation.

(x + 6) = ±√28.

Now we will simplify the square root of 28.(x + 6) = ±2√7.

We now subtract 6 from both sides of the equation to isolate the value of x.

x = −6 ± 2√7.

Therefore, the solution is -6 ± 2√7.

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The probability that the sum of the two is even and at least one of the dice shows 5 is 1/18.

There are a total of 36 possible outcomes when you roll two dice, since each die has 6 possible outcomes.

To find the number of outcomes where the sum of the dice is even, we can divide the 36 outcomes into two groups: outcomes where the sum is even, and outcomes where the sum is odd. There are 18 even sums (2, 4, 6, 8, 10, 12) and 18 odd sums (1, 3, 5, 7, 9, 11). So the probability that the sum of the dice is even is 18/36, or 1/2.

Now, we need to find the number of outcomes where at least one of the dice shows 5. There are 4 outcomes where the first die shows 5 (5,5; 5,1; 5,2; 5,3) and 4 outcomes where the second die shows 5 (1,5; 2,5; 3,5; 4,5). There are also 4 outcomes where both dice show 5. However, we have counted each of these outcomes twice (once as an outcome where the first die shows 5, and once as an outcome where the second die shows 5). So we need to subtract these 4 outcomes from our total. This leaves us with a total of 8 outcomes where at least one of the dice shows 5.

So the probability that at least one of the dice shows 5 is 8/36, or 2/9.

Finally, we want to find the probability that the sum of the dice is even and at least one of the dice shows 5. Since these two events are independent (the fact that the sum is even does not affect the probability that one of the dice shows 5, and vice versa), we can find the probability of both events occurring by multiplying the probabilities of the individual events.

So the probability that the sum of the dice is even and at least one of the dice shows 5 is (1/2) * (2/9) = 1/18.

Therefore the answer is: 1/18.

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MY WORK:

First, you would cut it up into different parts/shapes

(I cut it up into rectangles)

Then, you would find the area of each.

The bottom rectangle: 10 ( 5 times 2 )

The middle rectangle: 12 ( 6 times 2 )

The top rectangle: 8 ( 4 times 2 )

Lastly, you would add!

10 + 12 + 8 = 30

Therefore, the answer is...

30!

My apologies if this is wrong but I hope I helped a little bit!

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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The air speed of a small airplane during the first 25 seconds of takeoff and flight can be modeled by Newton's Second Law of Motion.

According to Newton's Second Law of Motion, the rate of change of the airplane's momentum is equal to the sum of all the forces acting on the airplane. As the plane takes off and accelerates, the thrust of the engines acting in the forward direction causes the plane's momentum to increase. This increase in momentum results in an increase in air speed. The air resistance acting against the motion of the plane is another force that affects the plane's speed. As the plane accelerates, the air resistance increases, and the plane's speed decreases.

In summary, the air speed of a small airplane during the first 25 seconds of takeoff and flight can be modeled by Newton's Second Law of Motion, where the thrust of the engines and air resistance act as forces that influence the plane's air speed.

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Answer:

3/7

Step-by-step explanation:

there are a total of 14 crayons in the box.

The probability of choosing a red crayon is 4/14 and the probability of choosing a yellow crayon is 2/14

The probability of choosing either red or yellow is the sum of those two fractions which gets you 6/14 which equals 3/7

The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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Step-by-step explanation:

6=48

5=less

=5/6 × 48

=8×5

=40girls

Answer:

40

Step-by-step explanation:

i dont feel like explaining it but theres 40 girls

Answer:8 feet

Step-by-step explanation: since it takes 3 feet to make a yard 24 divided by 3 is 8 so the answer is 8

Jules' scatter plot will help her to visualize the relationship between the number of years of education and the annual income of the respondents.

A scatter plot is a graph that consists of points plotted in two dimensions in which the position of each point is determined by the value of two variables. In Jules' case, the two variables are the number of years of education and the annual income of each respondent. The plot allows her to visualize the relationship between the two variables.

To plot the points, Jules would have to calculate the coordinates for each respondent. For example, if a respondent said that they have 12 years of education and an annual income of $60,000, Jules would calculate the coordinates for this point as (12, 60000). She would then plot the point at (12, 60000) on the graph. She would repeat this process for each respondent in the survey.

The scatter plot will show Jules how the number of years of education is related to the annual income. She will be able to see if there is a correlation between the two variables, and if there is a pattern of how the two variables are related. This will allow her to make conclusions about the relationship between the two variables.

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Answer:

my other questions

Step-by-step explanation:

i can try my best ((((:

Answer:

A. They can be searched using keywords.

Answer:

283.5km

Step-by-step explanation:

Given data

Speed= 63km/h

Time= 4.5hours

We know that speed= Distance/time

Make distance subject of the formula

DIstance= speed*time

Distance= 63*4.5

Distance= 283.5km

Hence the distance is 283.5km

The question asks to find the inverse of a given function. To do this, we need to switch the roles of x and y in the function and solve for y. The resulting equation is the inverse function.

To find the inverse of a function, we need to switch the roles of x and y in the equation and solve for y. Let's take the function f(x) = 2x + 3 as an example.

1: Switch the roles of x and y in the function. We get x = 2y + 3.

2: Solve for y. Subtract 3 from both sides of the equation. We get x - 3 = 2y.

3: Divide both sides of the equation by 2. We get (x - 3)/2 = y.

4: Replace y with f^-1(x) to get the inverse function. We get f^-1(x) = (x - 3)/2.

Therefore, the inverse of the given function is f^-1(x) = (x - 3)/2.

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The probability that he has exactly 7 hits in his next 7 at bats is  0.0106%.

To find the probability that a baseball player with a batting average of 0.31 gets exactly 7 hits in his next 7 at-bats, we can use the binomial distribution formula:

P(X=k) = (n choose k) * \(p^{k}\) * \((1-p)^{n-k}\)

where:

P(X=k) is the probability of getting k hits in 7 at-bats

n is the number of trials (in this case, 7 at-bats)

k is the number of successes (in this case, 7 hits)

p is the probability of success on a single trial (in this case, the batting average of 0.31)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Using this formula, we can calculate the probability as follows:

P(X=7) = (7 choose 7) * \(0.31^{7}\) * \((1-0.31)^{7-7}\)

P(X=7) = 1 * \(0.31^{7}\)* \(0.69^{0}\)

P(X=7) = 0.000106288

Therefore, the probability that the baseball player with a batting average of 0.31 gets exactly 7 hits in his next 7 at-bats is approximately 0.000106 or 0.0106%.

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Given:

The expression is

\(7(4+2)\)

To find:

The value of given expression by using distributive property.

Solution:

According to the distribution property of multiplication over addition, if a, b and c are three real numbers, then

\(a(b+c)=ab+ac\)

We have,

\(7(4+2)\)

Using the distribution property of multiplication over addition, we get

\(=7(4)+7(2)\)

\(=28+14\)

\(=42\)

Therefore, the value of the given expression is 42.