(12pts) what is the next step multiple choice

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

i

Step-by-step explanation:

Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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Answer:

the volume is 50

Step-by-step explanation:

The volume of a pyramid is found by using the formula V = lwh/3

If you multiply 3 5 and 10 you get 150

Dividing 150 by 3 gives you 50

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

The line segment /AB/ would have the length of 18

A triangle with two equal sides is known as an isosceles triangle. In other words, two of the three sides of an isosceles triangle are congruent. The third side, known as the base, is usually longer than the other two sides.

In an isosceles triangle, the angles opposite the congruent sides are also congruent. These angles are referred to as the base angles, while the angle directly across from the base is referred to as the vertex angle.

We know that the base angles of the isosceles triangle are equal as such the two sides are equal in length thus;

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 3

Thus the length/AB/= 6(3) = 18

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The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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Answer:

+ - × ÷

Step-by-step explanation:

addition, subtraction, multiplication and division

Answer: \(\frac{3}{5}\)

Step-by-step explanation:

To find sin B, you should use the rules of SOH CAH TOA.

so the opposite side of B would be 3 and the hypotenuse of the triangle is 5 which gives the answer \(\frac{3}{5}\)

Answer:

24

Step-by-step explanation:

0.034518 = 3.45% probability that the proportion of tickets sold in a sample of 691 tickets would be less than 9%.

In a set with mean µ and standard deviation σ , the z score of a measure X is given by:

Z = X - µ/σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For the sampling distribution of a sample proportion of size n, we have that

µ = √p(1-p)/n

p = 0.11, n = 691

so, µ= 0.11, σ= √0.11×0.89/691

σ = 0.011

What is the probability that the proportion of tickets sold in a sample of 691 tickets would be less than 9%?

This is the p value of Z when X = 0.09. So

Z = 0.09-0.11/0.011

Z = -1.8

Z = -1.8 has a p value of 0.034518

0.034518 = 3.45% probability that the proportion of tickets sold in a sample of 691 tickets would be less than 9%.

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Minda must view 76 movies to make Movie Prime the better deal

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of movies be 'x' and from the given information the two equations can be formed as,

5.95x and 150 + 3.95x.

And  to make Movie Prime the better deal,

150 + 3.95x < 5.95x.

2x > 150.

x > 75.

So, Minda must watch greater than 75 movies.

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The coordinate of point A are (-2,1), Point B are (-4,-2), Point C are (-4,-6), and Point D are (-1,-3).

A coordinate of a graph is defined as the point where the line of X axis and y axis meets to form a location on the graph.

To find the coordinates of a point in the coordinate system, you do the opposite. Start at one point and follow the vertical axis vertically up or down. You have x-coordinates. Then do the same thing, but with a horizontal line to find the y-coordinate.

Thus, the coordinates of the following points include the following:

Point A: (-2,1)

Point B: (-4,-2)

Point C: (-4,-6)

Point D: (-1,-3)

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Answer:

1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining

Answer:

-1

Step-by-step explanation:

I hope this helps!

The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Answer:

A) Assoicative Property of multiplication

Step-by-step explanation:

For associative prop., the order stay the same but the () move.

Answer:2/12

Step-by-step explanation: You have two cubes with the same numbers 1-6 both cubes have a 5 therefore 6x2=12 your counting all the sides to the cube and there's only 2 fives so the probability that you'd get a 5 is 2 out of 12 in a fraction 2/12 Hope it helps

Answer:

I could be very wrong, but I think 55?

Step-by-step explanation:

bc all angles of a triangle add up to 180, 70-180=110 110/2(bc two isosceles angles are left) makes last two 55

I think

Answer:  a) 110√2 meters

                b) 2.42 hectares

Step-by-step explanation:

a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse.  Therefore, the sides are length x and the diagonal is length x√2.

\(x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}\)

b) Area of a square is side squared.    10,000 meters² = 1 hectare

   \(A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}\)

Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.

Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed ​​is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.

Speed = Distance/Time

55 = Distance/9

Distance = 495 miles

When speed is 70 mph:

70 = 495/Time

Time = 495/70

Time = 7 hours and 12 minutes

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Therefore, the possible rational zeros of C(x) are -1/2, 1/2, -1, 1, -2, and 2.

To find the rational zeros of the function C(x), we need to find the factors of the constant term -1 and the factors of the leading coefficient 2. Then we can form all possible fractions that can be obtained by dividing the factors of the constant term by the factors of the leading coefficient.

The factors of -1 are ±1 and ±1/2, and the factors of 2 are ±1 and ±2. Therefore, the possible rational zeros of C(x) are:

±1/2, ±1, ±1/2, ±1/1, ±2/2

Simplifying these fractions, we get:

±1/2, ±1, ±2

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Probability of selecting a female student from the given number of students is equal to 0.5217.

As given in the question,

Number of female students in algebra class = 48

Number of male students in algebra class = 44

Total Number of students in algebra class = 48 + 44

                                                                  = 92

Total number of outcomes = ⁹²C₁

Number of favourable outcomes = ⁴⁸C₁

Probability of selecting a female student

= (Number of favourable outcomes) / (Total number of outcomes )

= ⁴⁸C₁ /  ⁹²C₁

= 48 / 92

= 12/23

= 0.5217

Therefore, the probability of selecting a female students from the given number of male and female students is equal to 0.5217.

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Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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Answer: n = -0.25

Step-by-step explanation:

the equation is set up as -3 + 8n = -5 , and our goal is to isolate n

to do this, well first start with adding 3 on both sides of the equals sign to cancel out -3

then, you have 8n = -2

now, you isolate n by dividing 8 on both sides to cancel out 8, giving you -0.25

(work below)

-3 + 8n = -5

+3 +3

———————
8n = -2

— —

8 8

n = -0.25

Hello there. To solve this question, we'll have to remember some properties about functions.

We want to determine how many times does the graph of the following quadratic function intersects the x-axis:

For this, we'll have to find how many roots does it have, by plugging in y = 0:

Remember for a quadratic equation as:

The solution for x is given by:

But in this case, we don't really need to determine the roots and only see how many of them the function have.

In this case, we evaluate the expression inside the square root, also called the discriminant of the equation.

If Δ is greater than zero, the function haves 2 distinct real roots.

If Δ is equal to zero, the function have 2 equal real roots (or 1 real root)

If Δ is less than zero, the function does not have real roots (two conjugate complex roots)

Plugging in the values of a = 2, b = 7 and c = 6, we have:

This means that this function intersects the x-axis two times.

The answer to this question is: 2.

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =