pls solve it. it's urgent ​

The function that represents the graph is the second option;

f(x) = 5·sin(3·θ)

A function assigns or maps the values in the set of input variables unto the set of the output variables.

The general form of a sinusoidal function is; y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

D = The vertical shift of the graph of the function

The peak and midline coordinates of the graph are (π/6, 5), and (π/3, 0)

The amplitude of the graph is therefore; 5 - 0 = 5

The period of the graph is the distance between successive peaks, which can be found as follows;

Period, T = 5·π/6 - π/6 = 4·π/6 = 2·π/3

Therefore; T = 2·π/3 = 2·π/B

B = 3

The point (0, 0), on the graph indicates that when the function is a sine function, and sin(0) = 0, the horizontal shift is; C = 0

The location of the midline on x-axis indicates that the vertical shift of the function is; D = 0

The function is therefore;

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Answer:

The quotient is 10x +16

The remainder is 48x^2 + 2x -42 .

Step-by-step explanation:

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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In the final arrangement, Angela is to the left of Eric.

Given the initial arrangement of Joan, Emmanuel, Andrew, and Angela from left to right, we need to determine who is to the left of Eric after the swaps.

First, Janet changes places with Eric. So the new arrangement becomes:

Joan, Emmanuel, Andrew, Janet, Angela.

Next, Eric changes places with Marcus. Considering the updated arrangement:

Joan, Emmanuel, Andrew, Janet, Marcus, Angela.

Now, we need to identify who is to the left of Eric. Looking at the arrangement, we see that Marcus is to the left of Eric. Therefore, Marcus is the answer.

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Step 1

Use the law that the sum of angles on a straight line is 180° to find y given that x = 42°

Step 2

Using the law

x + y = 180°

After substitution

42 + y = 180

y = 180 - 42

y =138°

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

139.3 m²

Step-by-step explanation:

The figure is composed of a square and a semi circle.

area of square = 10² = 100 m²

area of semi circle = 0.5πr² = 0.5π × 5² = 0.5π × 25 = 12.5π ≈ 39.3 m²

Total area = 100 + 39.3 = 139.3 m²

A paired-test can be used to check if the two blood pressure taken from 2 groups,one group having normal blood pressure another having white coat hypertension differ or not.

A paired t-test is used to determine whether two sample means are equal or not. White coat hypertension occurs when a person's blood pressure rises when they are in a medical setting.

To assess whether the two blood pressure measurements differ, a paired t-test should be used. The paired t-test is used to compare two dependent samples that are connected in some manner. A random sample of 50 patients should be taken to see if the two blood pressures differ. Here are the steps for conducting a paired t-test:

- State the null and alternative hypotheses.
- Calculate the difference between the two groups of data.
- Calculate the sample mean, sample standard deviation, and sample size.
- Use the t-distribution to determine the critical value.
- Compute the test statistic.
- Determine the p-value.
- Make a decision.

It is worth noting that in order to use the paired t-test, the data must be normally distributed. Additionally, this test can be performed on a one-tailed or two-tailed basis, depending on the hypothesis test. F-distribution is not used in a paired t-test.

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Answer:How many 5/8s go into 15/4, answer : 6.

Step-by-step explanation:

Steps for dividing fractions

Find the reciprocal of the divisor

Reciprocal of

5

8

:

8

5

Now, multiply it with the dividend

So,

15

4

÷

5

8

=

15

4

×

8

5

=

15 × 8

4 × 5

=

120

20

The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.

(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.

(4) If volatility were to decrease, the value of the call would decrease.

(5) If the exercise price would increase, the value of the call would decrease.

(6) If the time to maturity were 3-months, the value of the call would decrease.

(7) If the stock price were $62, the value of the call would be zero.

(8) The maximum value that a call option can take is unlimited.

In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:

C = S*N(d1) - X*e^(-rT)*N(d2)

where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.

Using the given values, we can calculate d1 and d2:

d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))

   = [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))

   = 0.9827

d2 = d1 - σ2T^(1/2) = 0.7327

Using these values, we can calculate the value of the call option:

C = S*N(d1) - X*e^(-rT)*N(d2)

= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)

= $7.70

The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.

If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.

If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.

The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.

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Since this is a pieciwise function we need to determine which expression to use for the value of x given. For the definition of the function we notice that for every x grater than 4 we need to use the function:

Since in this case we want to evaluate the function at x=6 and this value is greater that four we need to use this expression.

Then we have that:

Therefore the value of the function at x=6 is -18

Answer:

Yes, it is.

Step-by-step explanation:

-27/3 is equal to -9. An integer is a number that can be written without the usage of a fraction, which in this case is true.

Answer:

16

Step-by-step explanation:

First plug in 2 as the "x" in 4x

so 4 times (2) times (2)

and if you mutiple 4 x 2 you get 8

then 8 times 2 is 16

Answer:

what were the anwser choses

Step-by-step explanation:

he is 6 years old right now

Answer: Its going to be answer B. or 36 blocks.

Step-by-step explanation:

40-36 = 4 they're were 4 blocks on the left and 40 on the right.

To balance the scale, you must remove nine blocks from the right side.

The area of arithmetic operations encompasses the study of numbers and their operations, which are essential to all other branches of mathematics. These systems use the four operations of addition, subtraction, multiplication, and division as their foundation.

It is given that, One blue x-block, 20 green blocks, and 40 green blocks make up the scale's left and right sides, respectively.

If one blue x-block and three green blocks were all that was left on the left side of the scale after a student bumped into it and knocked several blocks off.

The number of blocks you need to remove from the right side to make the scale balance is obtained as,

=40 - 4

=36

Thus, for the scale to be balanced, nine blocks must be removed from the right side.

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Answer:

multiplying the previous term in the sequence by 33 gives the next term. In other words, an=a1⋅rn−1an=a1⋅rn-1.

Geometric Sequence: r=3

Answer:

132 m²

Step-by-step explanation:

Split the figure into 2 parts :

Area (Triangle)

Area (Rectangle)

Area (Figure)

Answer:

650x + 1500y ≥ 28000

Step-by-step explanation:

To describe the situation in the form of an inequality, we can write:

650x + 1500y ≥ 28000

In this inequality, 650x represents the total revenue from selling small pieces (since each small piece goes for $650), and 1500y represents the total revenue from selling large pieces (since each large piece goes for $1500). The sum of these two terms represents the total revenue from selling all the pieces.

The inequality states that the total revenue should be greater than or equal to $28,000, as the sculptor hopes to earn at least that amount.

Therefore, the inequality in standard form that describes this situation is:

650x + 1500y ≥ 28000

Answer:

your answer would be A

Step-by-step explanation:

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

b

Step-by-step explanation:

A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.

For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form

(y-k)²  =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,

y² = 24x

(y-k)² = 4p(x-h)

We can start by setting both sides with y equal to each other, as well as both sides containing x

y² = (y-k)²

square root both sides

y = y-k

k=0

24x = 4p(x-h)

divide both sides by 4

6x = p(x-h)

expand

6x = p*x - p*h

Because p*h does not contain an x value, we can say

6x = p * x

p = 6

6x = p*x - p*h

6x = 6x-6*h

subtract 6x from both sidex

6*h=0

h=0

Our equation is thus

y= 4(6)(x), with our vertex being (0,0) = (h,k)

The directrix is equal to x=h-p, and with p being 6, our directrix is thus

x=0-6 = -6

x=-6

Answer:

Step-by-step explanation:

I graphed these equations on desmos, the solution is the point where they intercept. The point where they intercept or the solution is (4, 0)

The magnitude of the vector S = A-B+C is 97.7 m. The direction of S is 47.9° counterclockwise from the positive x-axis. Therefore, the angle θs from part E lies in the first quadrant i,e., option a.

To find the magnitude of vector S, we first need to find its components by subtracting the components of B from the components of A and adding the components of C. Then we can use the Pythagorean theorem to calculate the magnitude. After calculation, we get |S| = 97.7 m.

To find the direction of S, we need to use trigonometry to find the angle θs between S and the positive x-axis. We can do this by taking the inverse tangent of the ratio of the y-component to the x-component of S. After calculation, we get θs = 47.9°.

Finally, we can determine the quadrant in which θs lies by analyzing the signs of the x and y components of S. Since both components are positive, we know that θs lies in the first quadrant.


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Olivia held the option for 14 months, which is neither short-term nor long-term. Therefore, her gain will be characterized as ordinary income.

Olivia wants to buy some vacant land for investment purposes. She cannot afford the full purchase price. Instead, Olivia pays the landowner $45,300 to obtain an option to buy the land for $906,000 anytime in the next four years.

Fourteen months after purchasing the option, Olivia sells the option for $56,625.The amount of Olivia's gain or loss and the character of the gain or loss can be calculated as follows:

Calculation of Olivia's gain or loss:

Olivia purchased an option for $45,300.

The option expired after 14 months without being exercised.

Olivia then sold the option for $56,625.

The gain or loss will be equal to the difference between the selling price and the cost of the option.

From the given information;

The character of Olivia's gain or loss:In general, the gain or loss on the sale of an option is classified as either a short-term or long-term capital gain or loss. However, in this case, Olivia held the option for 14 months, which is neither short-term nor long-term. Therefore, her gain will be characterized as ordinary income.

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The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer: 32 1/18

Step-by-step explanation: So first, I did 1/9 (-1/2) and I got 1/18. Yes although it was negative, when multiplying, it will become positive, then 1 x 1 is 1, and 9 x 2 is 18. Then, when adding it to 32, you get 32 1/18. I hoped this helped!