HELP PLEASE IM BEGGING ITS SUPER SIMPLE

Step-by-step explanation:

We can make 2 equations as follows:

2x = y + 16 and x + 2y = 18

x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.

2(18 - 2y) = y + 16

36 - 4y = y + 16

5y = 20

y = 4.

The game of Odds or Evens described between Luis and Raul is not fair. One player, Luis, has a higher probability of winning both coins compared to the other player, Raul.

To determine if a game is fair, we need to analyze the probabilities of each outcome. In this game, there are four possible outcomes: both coins land on heads, both coins land on tails, Luis wins; one coin lands on heads and the other on tails, Raul wins.

Since each coin flip is independent, the probability of both coins landing on heads is 1/2 * 1/2 = 1/4, and the probability of both coins landing on tails is also 1/4. This means that the combined probability of Luis winning is 1/4 + 1/4 = 1/2.On the other hand, the probability of one coin landing on heads and the other on tails is 1/2 * 1/2 = 1/4. Therefore, the probability of Raul winning is 1/4.

As we can see, Luis has a higher probability of winning both coins (1/2) compared to Raul's probability of winning (1/4). This indicates that the game is not fair, as one player has a higher chance of winning compared to the other player.

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The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3

The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.

Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

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Answer:

16x + 10y = 21

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

\(\frac{4}{3}\) x + \(\frac{5}{6}\) y = \(\frac{7}{4}\)

multiply through by 12 ( the LCM of 3, 6 and 4 ) to clear the fractions

16x + 10y = 21 ← in standard form

The mean profit per day, calculated using a working mean of N3,300, is N3,272.50 for 16 consecutive days.

To calculate the mean profit per day,

We simply need to add up all the profits for the 16 days, and then divide by 16 (the number of days).

Here are the steps,

Add up all the profits,

⇒ N3 290 + N3350 + N3270 + N3210 + N3 400 + N3 300 + N3380 + N3260 + N3 280 + N3320 + N3300 + N3 360 + N3430 + N3250 + N3330 + N3230 = N52 360

Divide by 16,

⇒  N52 360 ÷ 16 = N3 272.50

So the mean profit per day is N3 272.50,

which is slightly lower than the working mean of N3 300.

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Answer: 2.5

Step-by-step explanation:

The Converse of the Angle Bisector Theorem states that if a point is in the same plane as an angle and divides the angle into two congruent angles, then it lies on the angle's bisector.

The fact that the converse states that the point must be in the same plane as the angle implies that if the point is not in the same plane as the angle, then it cannot divide the angle into two congruent angles, and thus cannot lie on the angle's bisector.

The Angle Bisector Theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides of the triangle. The converse of this theorem states that if a point on the interior of a triangle divides one side of the triangle into two segments that are proportional to the other two sides, then the point lies on the bisector of the angle opposite the divided side.

To understand why this implies that the point must be in the same plane as the angle, we need to consider the definition of a plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions.

It is determined by any three non-collinear points in space. In the context of a triangle, the three vertices of the triangle are non-collinear points that determine a plane.

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The numerator for the equivalent fractions 2/5 = ?/15 is 6.

The correct answer choice is option D.

A fraction is a value which consists of a numerator (top or upper value) and a denominator (down or lower value).

2/5 = ?/15

cross product

2 × 15 = 5 × ?

30 = 5?

divide both sides by 5

? = 30/5

? = 6

Hence, 6 is the numerator of the fraction.

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Answer:

The answer is below

Step-by-step explanation:

To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.

Equation B: 5x+x=x-4.

Equation A: 5x-2+x=x-4.

Simplifying equation A to be in the form of equation B:

5x -2 + x = x - 4

Adding 2 to both sides:

5x + x -2 + 2 = x - 4 + 2

5x + x = x - 4 + (+2)

= equation A + 2

But 5x+x=x-4 = equation A

Therefore Equation B is the same as Equation A + 2

Answer:ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE

And part 2: is NO

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

A(x) = (x/4)^2 + ((10 - x)/4)^2

A'(x) = 2(x/4)(1/4) + 2((10 - x)/4)(-1/4)

x/8 + (x - 10)/8 = 0

x + x - 10 = 0

2x = 10, so x = 5

Cut the 10-meter wire into two 5-meter pieces. The area of each square is (5/4)^2 = 25/16 = 1.5625 square meters, so the combined area for both squares is 25/8, or 3.125 square meters (1.5625 square meters per square).

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

A circle represents 360 degrees. A circle can be split up into smaller sections. An arc is a segment of a circle, and arcs are named based on their angles.

To illustrate information and data, use a circle graph or pie chart. Often, a circle graph is used to quickly and proportionately display the findings of an investigation.

Given data:

Type of Transportation      Number of Visitors  Percentage

Walk                                    120                            120*100/ 300 = 40%

Bicycle                                 24                            24*100/ 300 = 8%        

Car Service                         45                            45*100/ 300 = 15%

Bus                                      30                            30*100/ 300 = 10%

Subway                               81                             81*100/ 300 = 27%

Total                                   300

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

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Answer:

A = 100 m²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 10 , b₁ = 12 , b₂ = 8 , then

A = \(\frac{1}{2}\) × 10 × (12 + 8) = 5 × 20 = 100 m²

Answer:

2,678

Step-by-step explanation:

just add after your done

SOLUTION

The diagram below would help

So from the diagram, we can see that

Volume of cuboid is given as

So volume of the cuboid becomes

Volume of a cylinder is given as

So, the volume of the cylinder becomes

Hence volume of the Foam becomes

Hence the answer is 0.13 cubic meter to 2 decimal places

Answer:

Both lines are perpendicular

Step-by-step explanation:

We want to determine the relationship between the two lines.

The best thing to do is to calculate the slope of the two lines;

Mathematically;

Slope = y2-y1/x2-x1

For PQ; slope will be;

(-3-17)/(1-(-4) =-20/5 = -4

For RS

slope = (4-3)/(-5-(-9)) = 1/4

Now we have -4 and 1/4 as slopes

The product of both is 1/4 * -4 = -1

When two lines are perpendicular, the product of their slopes is -1

We can conclude that both lines are perpendicular to one another

Given that the ride-sharing company has computed its mean fare to be $33.00, with a standard deviation of $4.10, this implies that

The z score value is expressed as

A) Approximately 68% of the company's rides have fares between . . .

From the normal distribution table,

this implies that the z score value is

The condition for a portfolio to be self-financing in the Black-Scholes model is that the portfolio's value does not change due to trading (buying or selling) costs or external cash flows. In other words, the portfolio's value remains constant over time, excluding the effects of the underlying assets' price changes.

For the given portfolio, a = -t (units of the stock) and b = S_t (units of the savings account). To determine if this portfolio is self-financing, we need to check if its value remains constant over time. Using Ito's lemma, we can express the value of the portfolio as:

d(Vt) = a_t * d(St) + b_t * d(Ct)

Substituting the values of a and b, we have:

d(Vt) = -t * (2St * dt + 4St * dBt) + S_t * d(t)

Simplifying this expression, we get:

d(Vt) = -2tSt * dt - 4tSt * dBt + S_t * dt

The portfolio is self-financing if d(Vt) = 0. However, in this case, we can see that the terms involving dBt do not cancel out, indicating that the portfolio is not self-financing.

Girsanov's theorem states that under certain conditions, it is possible to transform a Brownian motion under the real-world measure into a Brownian motion under an equivalent martingale measure (EMM). The EMM is a probability measure under which the discounted asset prices are martingales. By applying Girsanov's theorem or alternative techniques, we can derive the expression for St, the stock price, under the EMM. Unfortunately, without further information or specifications, it is not possible to provide the specific expression in this case.

To determine the price Ct of the call option on the stock at time t ≤ 2, with an exercise price K = 1 and expiration date T = 2, additional information or an appropriate result is required. Without specific details, such as the volatility of the stock or the risk-free interest rate, it is not possible to provide an expression for Ct.

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Answer:

\({ \tt{y = \frac{ - 3}{4}x - \frac{2}{5} }} \\ \)

• for y-intercept, x is zero

\({ \tt{y = ( \frac{ - 3}{4} \times 0) - \frac{2}{5} }} \\ \\ { \tt{ y = - \frac{2}{5} }}\)

• therefore:

\({ \tt{y - intercept : \: (0, \: - \frac{2}{5} ) }} \\ \)

The probability of the new engine design being approved given that it is low-energy is 0.2, or 20%.

To find the probability of the new engine design being approved, we need to use the concept of conditional probability.

We can use Bayes' Theorem to calculate this conditional probability:

P(A|H) = P(H|A) x P(A) / P(H)

where P(A|H) is the probability of the engine being approved given that it is high-energy, P(H|A) is the probability of the engine being high-energy given that it is approved, P(A) is the overall probability of the engine being approved (irrespective of energy consumption), and P(H) is the overall probability of the engine being high-energy.

Using the values given in the problem, we can substitute in these probabilities:

P(H|A) = 0.1 (given)

P(A) = P(H)P(A|H) + P(L)P(A|L) = 0.50.1 + 0.50.2 = 0.15

P(H) = 0.5 (given)

Therefore, we can calculate:

P(A|H) = 0.1 x 0.5 / 0.15 = 1/3 = 0.333

This means that the probability of the new engine design being approved given that it is high-energy is 0.333, or approximately one-third. Similarly, we can find the probability of the engine being approved given that it is low-energy:

P(A|L) = P(L|A) x P(A) / P(L)

P(L|A) = 1 - P(H|A) = 0.9 (given)

P(L) = 0.5 (given)

P(A|L) = 0.2 * 0.5 / 0.5 = 0.2

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The length of the hypotenuse is: 8.64 meters

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that;

In any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The Pythagorean theorem can be defined as; fundamental theorem in mathematics that relates to right triangles.

In this case, the two shorter sides have lengths 8.49 meters and 1.61 meters, so the length of the hypotenuse can be found by calculating the square root of the sum of the squares of these lengths:

i.e.  √(8.49^2 + 1.61^2) = √(72.0201 + 2.5881) = √74.6082 = 8.64 m

So, the length of the hypotenuse is approximately 8.64 meters.

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Answer:

la caca eres tu

Step-by-step explanation:

Gracias pinche vaca

Since we have a square root of a negative number, the expression is undefined for real numbers. Therefore, the limit does not exist.

To evaluate the limit lim(x→c) (√(\(x^2\)+3) - √(\(2^2\)-6))/(x - c), we can simplify the expression by rationalizing the numerator.

First, let's simplify the numerator:

√(\(x^2\)+3) - √(\(2^2\)-6)

= √(\(x^2\)+3) - √(4-6)

= √(\(x^2\)+3) - √(-2)

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a) The total number of different sequences of process and control samples each day is 823,543. b) The total number of different sequences of process and control samples each day is 120. c) The total number of different sequences of process and control samples each day, considering the first test as a control sample, is 46656.

a) To calculate the number of different sequences of process and control samples each day, we can consider the samples as distinguishable. We have 5 process samples and 2 control samples.

For each position in the sequence, we have 7 choices (5 process samples or 2 control samples). Since the samples are independent and can be selected in any order, we can use the multiplication principle.

Therefore, the total number of different sequences of process and control samples each day is 7⁷ = 823,543.

b) Now, let's consider the five process samples to be different and the two control samples to be identical.

We have 5! (5 factorial) ways to arrange the process samples among themselves. However, the two control samples are identical, so they remain fixed in their positions.

Therefore, the total number of different sequences of process and control samples each day is 5! = 120.

c) If the first test of each day must be a control sample, we need to consider the control sample fixed in the first position. We have 1 choice for the first position (control sample) and 6 choices for the remaining 6 positions (5 process samples and 1 control sample).

Therefore, the total number of different sequences of process and control samples each day, considering the first test as a control sample, is 1 * 6⁶ = 46656.

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(a) To determine how fast the population is growing when it reaches 5 million people, we can substitute P(t) = 5 into the differential equation P'(t) = 0.06P(t). This gives us P'(t) = 0.06(5) = 0.3 million people per year. Therefore, the population is growing at a rate of 0.3 million people per year when it reaches 5 million people.

(b) To determine the population size when it is growing at a rate of 700,000 people per year, we can set P'(t) = 700,000 and solve for P(t). From the given differential equation, we have 0.06P(t) = 700,000, which implies P(t) = 700,000/0.06 = 11,666,666.67 million people. Therefore, the population size is approximately 11.67 million people when it is growing at a rate of 700,000 people per year.

(c) To find a formula for P(t), we can solve the differential equation P'(t) = 0.06P(t). This is a separable differential equation, and integrating both sides gives us ln(P(t)) = 0.06t + C, where C is the constant of integration. By exponentiating both sides, we get P(t) = e^(0.06t+C). Using the initial condition P(0) = 3, we can find the value of C. Substituting t = 0 and P(0) = 3 into the equation, we have 3 = e^C. Therefore, the formula for P(t) is P(t) = 3e^(0.06t).

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The Pythagorean theorem says the length of the hypotenuse squared is equal to the sum of both of the lengths of the legs squared. To put that visually, look at my attached image.

Based on the Pythagorean Theorem, we can put the known information, both legs' length is 7, into the equation.      

  \((length-of-hypotenuse)^2=(length-of-leg-1)^2+(length-of-leg-2)^2\\ (length-of-hypotenuse)^2 = 7^2 + 7^2\\ (length-of-hypotenuse)^2 = 98\\length-of-hypotenuse=\sqrt{98} \\length-of-hypotenus=9.899\)

Thus the unknown side length is about 9.899.

Hope that helped!

The age of the pottery bowl to the nearest year is 4307 years. Using exponential decay or growth formula, the required value is calculated.

The formula for the exponential growth/decay is

\(N=N_0e^-^k^t\)

Where,

N - the total amount after time t

N₀ - the initial amount

k - growth or decay rate

t - time

It is given that,

A student in Greece discovers a pottery bowl that contains 65% of its original amount of C-14.

⇒ N(t) = 0.65N₀

But we have k = 0.0001.

Then,

\(N(t)=N_0e^-^k^t\)

0.65 N₀ = N₀ \(e^{-(0.0001)t}\)

⇒ 0.65 = \(e^{-(0.0001)t}\)

⇒ ln \(e^{-(0.0001)t}\) = ln 0.65

⇒ -(0.0001)t = -0.4307

⇒ t = 0.4037/0.0001

∴ t = 4307 years.

Thus, the age of the pottery bowl is 4307 years.

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