6. Yu is considering two different banks for his $3,000 savings account: OPTION A 4% FOR 20 YEARS SIMPLE INTEREST OPTION B 2% FOR 10 YEARS COMPOUND INTEREST 8 What is the interest earned on option A? O What is the total value on option A? What is the interest earned on option B? O What is the total value on option B? 10 Which is the better option?

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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The expressions that represent the derivative of the function y = f(x) are dy/dx, l'(x), and lim h->0 [f(x+h) - f(x)]/h. These expressions show the rate of change of y with respect to x at any given point on the function.

The other expressions, such as S(x) + f(h), xth dh/dx, lim 10 f(x) + f(h) x+h, and lim 1-0 F(x +h)-f(x)/h, are not equivalent to the derivative of the function. It is important to understand and use the correct expressions for the derivative in order to accurately analyze and interpret the behavior of a given function.

The expressions that represent the derivative of the function y = f(x) are:

1. lim (x→0) [f(x + h) - f(x)] / h
2. dy/dx
3. f'(x)
4. dh/dx

These expressions are used to describe the rate of change of the function y = f(x) with respect to the variable x. They can be used to find the slope of the tangent line to the curve at any given point or to analyze the behavior of the function.

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Answer:

y = 13x -107

Step-by-step explanation:

(10 - -3) / (9-8) =13

10= 13* 9 + b

b = 10 - 117 = -107

In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).

We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of  parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.

angle B = angle D

2n + 15 = 3n - 15

n = 30

The value of n is 30.

Now we can find the measures of angles B and D:

angle B = 2n + 15 = 2(30) + 15 = 75 degrees

angle D = 3n - 15 = 3(30) - 15 = 75 degrees

Therefore, the answer is (a) ∠b = 55°; ∠d = 55

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____The given question is incomplete, the complete question is given below:

In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°

Answer:

The Answer is A

Step-by-step explanation:

I just took the test! 2023Edg

Answer:

The y coordinate is 3

Step-by-step explanation:

Here, we want to find the y-coordinate of the line that divides the line segment in the given ratio.

To calculate this, we shall be using the internal division formula;

It is as follows;

( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

In this question;

m = 3 and n = 4

x1 = 0 , y1 = 6

x2 = -10, y2 = -1

Now substituting these values into the equation, we have;

(3(-10) + 4(0)/(3 + 4) , (3(-1) + 4(6)/(3+4))

= -30/7 , (-3 + 24)/7

= -30/7 , 21/7

= -30/7 , 3

The function f(x,y) = x^2/2 + 5y^3 + 6y^2 − 7x has a global maximum at (7,-4/5) and no global minimum.

To determine if the function has a global maximum or minimum, we need to check its critical points and boundary points.

Taking partial derivatives with respect to x and y and setting them equal to 0, we have:

∂f/∂x = x - 7 = 0

∂f/∂y = 15y^2 + 12y = 0

From the first equation, we get x = 7. Substituting this into the second equation, we get:

15y^2 + 12y = 0

3y(5y + 4) = 0

This gives us two critical points: (7, 0) and (7, -4/5).

To check if these critical points are local maxima or minima, we need to use the second partial derivative test. Taking second partial derivatives, we have:

∂^2f/∂x^2 = 1, ∂^2f/∂y^2 = 30y + 12

∂^2f/∂x∂y = 0 = ∂^2f/∂y∂x

At (7,0), we have ∂^2f/∂x^2 = 1 and ∂^2f/∂y^2 = 0, which indicates a saddle point.

At (7,-4/5), we have ∂^2f/∂x^2 = 1 and ∂^2f/∂y^2 = -12, which indicates a local maximum.

To check for global extrema, we also need to consider the boundary of the domain. However, the function is defined for all values of x and y, so there is no boundary to consider.

Therefore, the function has a global maximum at (7,-4/5) and no global minimum.

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Answer:

B

Step-by-step explanation:

rate of change and slope have the same meaning; to only know the slope of a line isn't enough, you need also at least one point or intercept

After finding the value of theta, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.

The equation tan(theta) = s^2/49 represents the speed, s, in feet per second, of a toy car driving around a circular track with an angle of incline, theta, where sin(theta) = 1/2.

To solve this problem, we need to use the given information about sin(theta) to find the value of theta. Since sin(theta) = 1/2, we can determine that theta is equal to 30 degrees.

Now that we know the value of theta, we can substitute it into the equation tan(theta) = s^2/49. Plugging in 30 degrees for theta, the equation becomes tan(30) = s^2/49.

The tangent of 30 degrees is equal to √3/3. So, we have √3/3 = s^2/49.

To solve for s, we can cross multiply and solve for s^2. Multiplying both sides of the equation by 49 gives us 49 * (√3/3) = s^2.

Simplifying, we get √3 * 7 = s^2, which becomes 7√3 = s^2.

To find the value of s, we take the square root of both sides. So, s = √(7√3).

Therefore, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.

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Answer:

B

Step-by-step explanation:

i got it right on the assignment

The longest racial grouping of respondents to the 2012 GSS was non-Hispanic white, with 78.7%. The second-largest grouping was Black or African American, with 15.6%.

The General Social Survey (GSS) is a nationally representative survey of American adults that has been conducted annually since 1972. The GSS collects data on a wide range of topics, including race and ethnicity. In 2012, the GSS asked respondents to identify their race and ethnicity. The results showed that the largest racial grouping in the United States was non-Hispanic white, followed by Black or African American. in the 2012 GSS or any other related information, it is recommended to refer to the official documentation or reports from the General Social Survey (GSS).

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In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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Answer:

16 feet

Step-by-step explanation:

her first try is 2 and you multiply by 2 every time so her first would be 2 which we would multiply to get 4 which we would multiply again to get 8 which we would multiply AGAIN to get the final answer of 16

Answer:

Step-by-step explanation:

One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?

Let us represent

First solution =>x

Second solution => y

System of equations

x + y = 24.....Equation 1

x = 24 - y

26% × x + 11% × y = 21% × 24

= 0.26x + 0.11y = 5.04... Equation 2

To find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

To find v⋅u (the dot product of v and u), you can multiply the corresponding components of v and u and then add the results.

To find |v| (the magnitude or length of v), you can use the Pythagorean theorem. Square each component of v, add the results, and take the square root of the sum.

Similarly, to find |u| (the magnitude or length of u), you can use the same process as above.

To find the cosine of the angle between v and u, you can use the dot product formula: cosθ = (v⋅u) / (|v| * |u|).

To find the scalar component of u in the direction of v, you can use the formula: (v⋅u) / |v|.

Lastly, to find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

Remember to plug in the values for v and u to get the specific results for each exercise.

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Answer:

Step-by-step explanation:

The ratio of boys to girls:

If there are a total of 132 boys, then number of girls is:

Total number of students:

The required characteristic that has a high survival value in a population is likely to become dominant or common.

Statistics is the study of mathematics that deals with relations between comprehensive data.

A characteristic that has a high survival value in a population is likely to become more common over time. This is because individuals with this characteristic are more likely to survive and reproduce, passing the trait on to their offspring. Over generations, this process, known as natural selection, can lead to an increase in the frequency of the advantageous trait in the population. Over time, the characteristic that has a high survival value in a population is likely to become dominant.

Thus, the required characteristic that has a high survival value in a population is likely to become dominant or common.

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Answer:

m∠4 = 140°

Step-by-step explanation:

m∠1 = m∠4  (parallel lines with same angle)

m∠2 = m∠3  (parallel lines with same angle)

if m∠2 = m∠3 are equal:

3x + 10 = 5x - 10

3x - 5x = -10 - 10

-2x = -20

x = 10°

m∠2 = m∠3 = 3x + 10 = 3(10) + 10 = 40°

m∠1 + m∠4 + 40° + 40° = 360°

2 m∠4 = 360° - 80°

2 m∠4 = 280°

m∠4 = 140°

Answer:

m∠4 = 140°

Step-by-step explanation:

Vertical Angle Theorem: vertical angles are always congruent.

Therefore, m∠1 = m∠4  and  m∠2 = m∠3

As m∠2 = m∠3, then

⇒ 3x + 10 = 5x - 10

⇒ 20 = 2x

⇒ x = 10

So m∠2 = 3x + 10 = 3(10) + 10 = 40°

m∠2 and m∠4 form a linear pair

Therefore m∠2 + m∠4 = 180°

⇒ 40 + m∠4 = 180

⇒ m∠4 = 140°

Linear pair: a pair of adjacent angles formed when two lines intersect.  The two angles of a linear pair always sum to 180°

Answer:

C

Step-by-step explanation:

Here, we want to interpret what is meant by m(10) = k

Originally M(n) represents the fee in dollars for an nth drive

So M(10) will represent the fee in dollars for the 10th drive and is equal to K dollars

Correct option is C

Answer:

178.5

Step-by-step explanation:

Answer:

178.5

Step-by-step explanation:

hope it helps

Force = mass x acceleration.

Force = 1.5 kg x 6m/s^2

Force = 9 newtons

\(\qquad\purple{ \pmb{\sf Force = Mass \times Acceleration}}\)

\(\qquad \longrightarrow \pmb{\sf Force = 1.5\; kg \times 6 \; m/s^2}\)

\(\qquad \longrightarrow \pmb{\sf Force = 9 \; kgm/s^2}\)

\(\qquad\longrightarrow {\pink{\underline{\underline{\pmb{\sf{ Force_{(Applied )} = 9 N }}}}}}\)

Henceforth :-

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The probability that at least 75 rolls are necessary to exceed a total sum of 275 is approximately 0.293.

Let X be the random variable denoting the total number of rolls required to exceed 275. We want to calculate P(X >= 75). The probability of rolling a number greater than 5 is 1/3, and the probability of rolling a number less than or equal to 5 is 2/3. Therefore, the expected value of a single roll is

The variance of a single roll is

Using the properties of the geometric distribution, we can calculate the probability that it takes at least 75 rolls to achieve a sum greater than 275:

P(X >= 75) = (1 - P(X < 75)) = (1 - (1 - (275/3.67)/75\()^{(75)}\)) = 0.293.

Therefore, the probability that at least 75 rolls are required is approximately 0.293.

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Y = 5

The triangle is a right triangle so use the Pythagorean theorem:

Y = sqrt(3^2 + 4^)

Y = sqrt(9 + 16)

Y = sqrt(25)

Y = 5

You have to solve the following equation

After you use the quadratic formula you would get

t=2.2

That would be the final answer

t=2.2

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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We have

We will use the Law of cosines in order to find the angle C

we need to isolate C

where

a=3 ft

b = 6 ft

c= 7 ft.

we substitute the values

Then we will use the law of sines

Then we use the fact that the sum of the interior angles of a triangle is 180°

A+B+C=180

B=180-25.21-96.38=58.41°

The solution is

A= 25.21 degrees

B= 58.41 degrees

C= 96.38 degrees

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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The probability that a randomly selected junior biology major has taken either a statistics or a computer course is 0.68

To find the probability that a randomly selected junior biology major has taken either a statistics or a computer course (or both), we'll use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Where:
- P(A) is the probability of having taken a statistics course (52% or 0.52)
- P(B) is the probability of having taken a computer course (23% or 0.23)
- P(A and B) is the probability of having taken both courses (7% or 0.07)

Now, plug in the values:

P(A or B) = 0.52 + 0.23 - 0.07
P(A or B) = 0.68

So, the probability that a randomly selected junior biology major has taken either a statistics or a computer course (or both) is 0.68, or 68%.

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Answer:

164 m^2

Step-by-step explanation:

14*11=154

5*2=10

10+154=164

5/1

Step-by-step explanation:

you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.

I hope this helped

#5/1 is answer