What the answer to f(x)=3x-1
G(x)=x^2-x-4
Findf(g(x)

From the given information provided, the number of people having brown eyes in town is 180.

If the probability that a person in the town has brown eyes is 2/5, then we can expect that 2 out of every 5 people have brown eyes.

To find the number of people in the survey who would be expected to have brown eyes, we can use the following proportion:

(2/5) = (x/450)

where x is the number of people expected to have brown eyes.

Solving for x, we can cross-multiply:

5x = 2 × 450

5x = 900

x = 180

Therefore, the expected number of people in the survey who would have brown eyes is 180.

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Answer:

she is correct because if you reflect that over the Y axis

Answer:

22 years.

Step-by-step explanation:

(continued), How long will it take the 5000 Swiss Francs to accrue to 10000 = 2 x 5000 Swiss Francs.

Define T as

T = the time to double the investment.

Then, we have that

10000 = 5000(1 + 3.25%)^T

2 = (1 + 0.0325)^T

2 = (1.0325)^T

ln(2) = ln [ (1.0325)^T ]

ln(2) = T ln (1.0325)

T = ln(2) / ln(1.0325)

T = 21.6723317643

T = 22 years, rounded to the nearest year.

The density function of √u, where u is uniformly distributed on [0,1], is f(v) = 2√v for 0 ≤ v ≤ 1.

To find the density function of √u, where u is uniformly distributed on the interval [0,1], we can use the transformation method.

Let's denote the random variable √u as v = √u. We want to find the probability density function (PDF) of v.

First, we find the cumulative distribution function (CDF) of v:

F(v) = P(v ≤ x) = P(√u ≤ x) = P(u ≤ x²) = x², for 0 ≤ x ≤ 1.

Next, we differentiate the CDF to obtain the PDF of v:

\(\begin{equation}f(v) = \frac{d}{dv} F(v) = \frac{d}{dv} (x^2) = 2x, \quad 0 \leq x \leq 1\)

However, we need to express the PDF in terms of v, not x. Since v = √u, we can substitute x = √v into the PDF:

f(v) = 2√v, for 0 ≤ v ≤ 1.

Therefore, the density function of √u is f(v) = 2√v, for 0 ≤ v ≤ 1.

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The number of ways to seat five distinct Martians and eight distinct Jovians at a circular table, such that no two Martians sit together, is given by the product of the number of ways to arrange the Martians and the number of ways to arrange the Jovians.

To find the number of ways to arrange the Martians, we can fix one Martian at a position on the table. The remaining four Martians can be arranged in 4! = 24 ways around the table. Since the table is circular, we need to divide this number by 5 to account for the circular permutations. Therefore, the number of ways to arrange the Martians is 24/5 = 4.

Next, we consider the Jovians. There are 8! = 40,320 ways to arrange them in a linear fashion. However, since the table is circular, we need to divide this number by 8 to account for the circular permutations. Therefore, the number of ways to arrange the Jovians is 8!/8 = 5,040.

Finally, we multiply the number of ways to arrange the Martians (4) by the number of ways to arrange the Jovians (5,040) to get the total number of seating arrangements: 4 * 5,040 = 20,160.

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Answer:

1) 10

- 3 3/8

________

=6 5/8

2)  1/5= 2/10

2/10

+ 20 3/10

+ 5 6/10

_________

25 11/10

= 26 1/10

3) 11/12

+ 10

- 10/12

________

= 10 1/12

e₃ = e₃ - projₑ₃(e₁) - projₑ₃(e₂). This process ensures that e₃ is orthogonal to both e₁ and e₂, while still being in the hyperplane spanned by v₁, v₂, and v₃.

(a) To find which of v₁ and v₂ is longer in length, we calculate the magnitudes (lengths) of v₁ and v₂ using the formula:

|v| = √(v₁₁² + v₁₂² + v₁₃² + v₁₄²)

Let's denote the components of v₁ as v₁₁, v₁₂, v₁₃, and v₁₄, and the components of v₂ as v₂₁, v₂₂, v₂₃, and v₂₄.

Magnitude of v₁:

|v₁| = √(v₁₁² + v₁₂² + v₁₃² + v₁₄²)

Magnitude of v₂:

|v₂| = √(v₂₁² + v₂₂² + v₂₃² + v₂₄²)

Compare |v₁| and |v₂| to determine which one is longer.

To calculate the angle between v₁ and v₂ using the dot product method, we use the formula:

θ = arccos((v₁ · v₂) / (|v₁| |v₂|))

Where v₁ · v₂ is the dot product of v₁ and v₂.

(b) To find e₂, the vector perpendicular to v₁ in P using Gram-Schmidt, we follow these steps:

Set e₁ = v₁.

Calculate the projection of v₂ onto e₁:

projₑ₂(v₂) = (v₂ · e₁) / (e₁ · e₁) * e₁

Subtract the projection from v₂ to get the perpendicular component:

e₂ = v₂ - projₑ₂(v₂)

Make sure to normalize e₂ if necessary.

To check that e₁ · e₂ = 0, calculate the dot product of e₁ and e₂ and verify if it equals zero.

(c) To find e₃ orthogonal to e₁ and e₂, but in the hyperplane with v₁, v₂, and v₃ as a basis, we follow similar steps:

Set e₃ = v₃.

Calculate the projection of e₃ onto e₁:

projₑ₃(e₁) = (e₁ · e₃) / (e₁ · e₁) * e₁

Calculate the projection of e₃ onto e₂:

projₑ₃(e₂) = (e₂ · e₃) / (e₂ · e₂) * e₂

Subtract the projections from e₃ to get the perpendicular component:

e₃ = e₃ - projₑ₃(e₁) - projₑ₃(e₂)

Make sure to normalize e₃ if necessary.

This process ensures that e₃ is orthogonal to both e₁ and e₂, while still being in the hyperplane spanned by v₁, v₂, and v₃.

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Lisa bowling score is 100.

John bowling score is 282.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Lisa and John are bowling.

Johns score is three times the difference of Lisa's score and 6.

The sum of their scores is 382.

Now, Let Lisa bowling score = x

Then, John bowling score = 3 (x - 6)

Since, The sum of their scores is 382.

Hence,

x + 3 ( x - 6 ) = 382

After solving,

x + 3x - 18 = 382

4x = 382 + 18

4x = 400

x = 100

Hence, Lisa bowling score = x = 100

And, John bowling score = 3 (x - 6)

                                       = 3 (100 - 6)

                                       = 3 × 94

                                       = 282

Therefore, Lisa bowling score is 100.

And, John bowling score is 282.

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Naeem ate 14/24 of the pizza in total.

To find out how much pizza Naeem ate, let's work step by step.

First, let's calculate how much pizza Naeem had left on Sunday. On Saturday, he had 5/12 of the pizza left after dinner.

To find out how much he ate on Sunday, we need to find 2/5 of the amount left on Saturday.

To do this, we multiply 5/12 by 2/5. Multiplying the numerators (2 * 5) gives us 10, and multiplying the denominators (12 * 5) gives us 60. So, Naeem ate 10/60 of the pizza on Sunday.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10. So, 10/60 simplifies to 1/6.

Therefore, Naeem ate 1/6 of the pizza on Sunday.

To find out how much pizza Naeem ate in total, we add the amount he ate on Saturday (5/12) to the amount he ate on Sunday (1/6).

To add fractions, we need a common denominator. The least common multiple of 12 and 6 is 12.

Multiplying the numerator and denominator of 5/12 by 2 gives us 10/24.

Adding 10/24 to 1/6 gives us 10/24 + 4/24, which equals 14/24.

Therefore, Naeem ate 14/24 of the pizza in total.

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Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

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Answer:

its 0

Step-by-step explanation:

6 squared plus 2 squared = 40 40/4=10 10-10=0

Answer: D

Step-by-step explanation:

Answer:

The least common denominator of the fraction is 14

1/2=  7/14

1/7=  2/14

Answer:

52.2

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

(A) 236°

Step-by-step explanation:

270° - 34° = 236°

Answer:

B, F, G

Step-by-step explanation:

Answer:

B, F, G

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.

The quota of the weighted voting system is between 14.5 and 29

Given: [15: 13,10,6]

First, find the total:

Total weight = 13 + 10 + 6 = 29

Then, find half of the total weight: 29/2 = 14.5

So the quota must be between 14.5 < q ≤ 29

Remember: The given quota(q) is 15

Since the quota is 15, and 14.5 is between 14.5 and 29. Therefore, this voting system is valid

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The following algebraic expression are trinomial.

The term expression in math is also known as algebraic expression consists of unknown variables, numbers and arithmetic operators.

Here we must know what is meant by trinomial,

The term trinomial is referred as

Here we have given algebraic expression that is written as  x³ + x² - √x is a trinomial with one variable ‘x’ and it having three non-zero terms.

Then the next given algebraic expression which is 2x³ - x², is NOT a trinomial. Because this expression is a binomial with one variable ‘x’, having two non-zero terms.

Then the another given algebraic expression that is 4x³ + x² - 1/x, is a trinomial with one variable ‘x’, having three non-zero terms.

Finally the given algebraic expression which can be written as x⁶ - x +√6, is a trinomial with one variable ‘x’, having three non-zero terms.

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Answer:

2/3

Step-by-step explanation:

16/4=4

24/4=6

4/6 divided by 2= 2/3

Answer: c

Step-by-step explanation:

The solution set for the inequality is p > -9.4. See attachment below for the graph.

An open circle is used when the inequality sign involved is ">" or "<". That is, it is used for numbers that are less than or greater than.

An arrow shaded to the right means the solution set is greater than a given value, while an arrow shaded to the left means the solution set includes all values that are less than a given value.

Given the inequality, p + 3.6 > −5.8, solve for p:

p + 3.6 > −5.8

Subtract 3.6 from both sides

p + 3.6 - 3.6 > -5.8 - 3.6

p > -9.4

Thus, the solution set would be all the values that are greater than -9.4. The graph is shown below.

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The equation to describe the situation is v + 29,2929 = 7373, where "v" represents the number of video games that Brandon has.

To solve this problem, we start by defining the variable "v" as the number of video games that Brandon has. We are given that Jerry has 29,2929 video games, and together they have a total of 737373 video games. Therefore, the total number of video games they have together is equal to the sum of the number of video games that Brandon and Jerry have: v + 29,2929 = 7373. To solve for "v", we can subtract 29,2929 from both sides of the equation, giving us v = 7373 - 29,2929. Simplifying this expression, we get v = -21,919. Since it doesn't make sense for the number of video games to be negative, we can conclude that there is no solution to this equation. This may mean that there was an error in the original problem statement, or that some information is missing.

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3/5 = 30/50 = 60/100 = 6/10

6/10 = 60%

60% is not a recurring decimal.

3/5 is not a recurring decimal.

Let me know if this is the correct answer. :)

Answer:

after 6 months

Step-by-step explanation:

12 + 20(6) = 132

22(6) = 132

they are equal

Answer:

Step-by-step explanation:  Answer: it will take 6 months for both gyms to cost the same.

Step-by-step explanation:

Let m represent the number of months that it will take for the cost of both gyms be the same.

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is

12 + 20m

At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m

For both costs to be the same, the number of months would be

12 + 20m = 22m

22m - 20m = 12

2m = 12

m = 12/2 = 6

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.

Therefore the answer is c)  reaction is at equilibrium.

Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.

It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.

When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.

--The question is incomplete, answering to the question below--

"In which direction will the net reaction proceed.

X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k

for each of these sets of initial conditions?

A) [X] = [Y] = [Z] = 1.0 M

[a] net reaction goes to the left [this one?]

[b] net reaction goes to the right

[c] reaction is at equilibrium"

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