39 3.3 5.1 3.3 x find the value in the triangle shown below

Answer:

C) \(sinx\)

Step-by-step explanation:

\(1-\frac{cos^2x}{1+sinx}\\\\1-\frac{1-sin^2x}{1+sinx}\\ \\1-\frac{(1+sinx)(1-sinx)}{1+sinx}\\\\1-(1-sinx)\\\\sinx\)

Using the Newton-Raphson method with an initial guess of x(0) = 1 and a relative error of 0.01, a root of the equation x³ - 2x = 5 is found to be approximately x ≈ 2.094.

To find a root of the equation x³ - 2x = 5 using the Newton-Raphson method, we start with an initial guess of x(0) = 1. The relative error is set to 0.01, which means we continue iterating until the difference between two consecutive approximations is less than 0.01 times the current approximation.

The Newton-Raphson method involves iteratively updating the approximation using the formula:

x(i+1) = x(i) - f(x(i)) / f'(x(i))

Here, f(x) = x³ - 2x - 5 is the given equation. We also need to calculate the derivative f'(x) = 3x² - 2.

Starting with x(0) = 1, we substitute this value into the formula to get x(1). We continue this process until the relative error condition is met.

By applying the Newton-Raphson method, the iteration converges to a root of the equation at approximately x ≈ 2.094.

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Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

Answer:

option D

Step-by-step explanation:

because 2/6=1/3

if we divide it will give =0.3333....

it is repeating 3 continuosly so option d is the answer

The value of the variable 'total' from the following JavaScript code is "120".

The given code is as follows:

var x = 1;

var y = '2';

var z = 0;

var total = x+y+z;

The given code above has three variables x, y, and z. The value of variable x is 1. The value of variable y is '2' which is a string value and not an integer value. And, the value of variable z is 0.

Therefore, the code adds the values of variables x, y, and z. But since the variable y is in string format, it concatenates it with x and z, as JavaScript prioritizes string concatenation over the addition operation.

Therefore, the output of the addition operation in the given code is "102".

To obtain the value "120", we need to change the variable y from a string format to an integer format. We can do this by using parseInt(), which is a built-in JavaScript function.

The modified code is as follows:

var x = 1;

var y = '2';

var z = 0;

var total = x + parseInt(y) + z;

Therefore, the output of the addition operation in the modified code is "120".

Hence, the answer is 120.

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C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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Answer:

b

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

Answer:

49

Step-by-step explanation:

1/7^-2 is equal to 7^-2*-1 making it 7^2 which is equal to 49.

Answer:

If you follow c²=a²+b² you can find your solution or you can do it with the cosinus rule/ sinus rule. But i don't see the side a remarked in your picture so i don't know which one you want to calculate.

Step-by-step explanation:

The probability of the red die showing a 5 is 1/6 since there are 6 possible outcomes on a die and only one of them is a 5. The same goes for the blue die. Therefore, the probability of both dice showing a 5 is 1/6 x 1/6 = 1/36. So the reduced fraction for this probability is 1/36.

The probability of the red die showing a 5 and the blue die showing a 5 can be calculated by finding the individual probabilities and multiplying them.

For each die, there are 6 possible outcomes (1-6), and only one of those outcomes is a 5. So, the probability of getting a 5 on a single die is 1/6.

Now, multiply the probabilities for the red die and the blue die:
(1/6) * (1/6) = 1/36

So, the probability of the red die showing a 5 and the blue die showing a 5 is 1/36 as a reduced fraction.

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Answer:

a is your answer

Step-by-step explanation:

;)

The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer:

its (D)

Step-by-step explanation:

Answer:

The answer is D) -

Step-by-step explanation

I have taken the test.

Linear regression is a technique used in statistics and machine learning to understand the relationship between two variables and how one affects the other.

In this case, we are interested in understanding the relationship between sales and seasonality. We can use linear regression to create a model that predicts sales based on seasonality. Here's how we can do it First, let's plot the data to see if there is a relationship between sales and seasonality.

We can see that there is a clear pattern that repeats every year. This indicates that there is a strong relationship between sales and seasonality. We can use the following equation: y = mx + b, where y is the dependent variable (sales), x is the independent variable (seasonality), m is the slope of the line, and b is the intercept of the line.

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Answer:

False

Step-by-step explanation:

Cost is not a complete ways to compare different modes.  We also need to look at the time of each mode of transportation.  Walking is very cheap  (the cost of shoes and water)  but would take a very long time.  We would also have to look at the convenience factor.  The bus may be cheap but it may not run when and where you need it.

It is, that would be true

Check the picture below.

let's noticed the distances from one to the next value in the dataset, let's notice the distance on the last one.

Answer:

x = \(\sqrt{53}\)

Step-by-step explanation:

Using Pythagoras' identity on the upper right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let the third side be d, then

d² + b² = a² , that is

d² + 8² = 11²

d² + 64 = 121 ( subtract 64 from both sides )

d² = 57

Using Pythagoras' identity on the lower right triangle, then

x² + c² = d²

x² + 2² = 57

x² + 4 = 57 ( subtract 4 from both sides )

x² = 53 ( take the square root of both sides )

x = \(\sqrt{53}\)

A circular park of radius 14 m has a road of 7 m width all around on its outside then the  area of the road is approximately 153.943 square meters.

The circular park has a radius of 14 m. This means that the diameter of the park is 2 x 14 = 28 m. The road around the park has a width of 7 m. This means that the total width of the park and the road is 28 + 7 + 7 = 42 m. The area of the circular park can be found using the formula for the area of a circle: Area of park =\(π x r^2 = π x 14^2 = 615.752 m^2\) (rounded to 3 decimal places)

The area of the park and the road can be found by calculating the area of the larger circle and subtracting the area of the park: Area of park and road =\(π x (r+7)^2 - π x r^2 = π x (14+7)^2 - π x 14^2 = π x 21^2 - π x 14^2 = π x (441 - 196) = π x 245 = 769.695 m^2\) (rounded to 3 decimal places)

To find the area of just the road, we need to subtract the area of the park from the area of the park and road: Area of road = Area of park and road - Area of park = 769.695 - 615.752 =\(153.943 m^2\) (rounded to 3 decimal places)

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With the given ratio of red to blue cars, which is 3:4, Evan has 16 blue toy cars.

To find the number of cars, follow these steps  -

1: Identify the ratio - Red cars:Blue cars = 3:4

2: Determine the number of red cars - Evan has 12 red toy cars.

3: Find the ratio equivalent to the number of red cars - 12 red cars / 3 (from the ratio) = 4

4: Multiply the ratio of blue cars by the equivalent found in step 3 - 4 (from the ratio) * 4 = 16

So, Evan has 16 blue toy cars.

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Answer:

1,001

Step-by-step explanation:

Any number that ends in 1, 3, 5, 7 or 9 is an odd number. This is because the number cannot be divided by 2 evenly So 999 is an odd number. An even number is an integer which is evenly divisible by 2.

Answer:

1

Step-by-step explanation:

4⁰ = 1

16⁰ = 1

1 × 1 = 1

Hope this helps...

Answer:

\(18x^2-6\)

Step-by-step explanation:

By the power rule, \(\frac{d}{dx}x^n=nx^{n-1}\). Therefore, \(\frac{d}{dx}x^3+5x^3-6x+9=3x^2+15x^2-6=18x^2-6\)

Answer:

D

Step-by-step explanation:

a^2+b^2=c^2

16+25=41

\(\frac{x + 1}{2} = 4x - 3\\\frac{x + 1}{2} \cdot 2 = 4x \cdot 2 - 3 \cdot 2\\x + 1 = 8x - 6\\x - 8x = -6 - 1\\-7x = -7\\x = \frac{-7}{-7}\\x = 1\)

Based on this estimate, we can expect the ride to swing approximately 9.2 ft higher after each swing.

An equation is a mathematical statement that asserts the equality of two expressions, often containing variables. It typically consists of two expressions separated by an equal sign. The expressions on either side of the equal sign may contain constants, variables, operators (such as +, -, ×, ÷), and functions. Equations are used in many fields, including mathematics, physics, engineering, and finance, to model and solve problems. They are a fundamental concept in algebra, which is the branch of mathematics that deals with equations and the manipulation of variables.

Here,

Assuming that the ride swings higher by approximately the same amount each time, we can estimate the average increase in height per swing. We can calculate this by dividing the total increase in height from 45 ft to 137 ft (92 ft) by the number of swings it takes to reach that height. Since we don't know how many swings it takes to reach the maximum height, we'll assume that the ride swings 10 times before reaching 137 ft (this is just an estimate).

Total increase in height = 137 ft - 45 ft = 92 ft

Number of swings = 10 (estimated)

Average increase in height per swing = 92 ft / 10 = 9.2 ft

Based on this estimate, we can expect the ride to swing approximately 9.2 ft higher after each swing. Therefore, after the first swing (which reached a height of 45 ft), we can estimate that the ride will swing to a height of approximately 54.2 ft (45 ft + 9.2 ft) on the second swing, and then to a height of approximately 63.4 ft (54.2 ft + 9.2 ft) on the third swing, and so on.

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Complete question:

A thrill ride swings passengers back and forth getting higher and higher each time up to 137ft. suppose the height of the swing after 30sec. is 45ft. How much higher will the fide swing?

Answer: X = 14

Step-by-step explanation: (:

The volume of the boiler is 6.286 cubic meters.

Given:-

Diameter of cylinder = 2 m

Height of cylinder = 2 m

To Find:-

The volume of the cylinder?

Firstly let us calculate radius of the cylinder, as we know;

Radius = Diameter/2

Putting all values we get;

Radius = 2/2

Radius = 1 m

Now let's calculate its volume, as we know that;

The volume of cylinder = πr²h

Putting all values we get;

Volume(cylinder) = 22/7 × (1)² × 2

We can write it as;

Volume(cylinder) = 22/7 × 2 × 1 × 1

Volume(cylinder) = 3.1428 × 2

Volume(cylinder) = 6.286 cubic meter

Hence, the volume of the boiler is  6.286 cubic meters.

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Answer: Sum = 540° ; x = 127°

Step-by-step explanation:

So a Pentagon's interior angles is always equal to 540°.

90° + 143° + 77° + 103° + x = 540°

413° + x = 540°

x = 127°

90° + 143° + 77° + 103° + 127°  = 540°

Hope this helps!!! :)

===================================================

Explanation:

The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.

The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.

So we'll need to evaluate p(-1)

To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.

From point A, draw a horizontal line to the y axis. You should reach y = 3.

This is all shown in the diagram below.

In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.

So the remainder is 3.

Answer:

3

Step-by-step explanation:

Without any specific data about the student's GPA or the school's average, it is impossible to provide a numerical answer to this question.

However, in general, to calculate the number of standard deviations a student's GPA is away from the school's average, we would need to find the difference between the student's GPA and the school's average, and then divide that difference by the standard deviation of the GPA distribution for the entire school population. The resulting number would tell us how many standard deviations the student's GPA is away from the mean.

For example, if the school's average GPA is 3.0 and the standard deviation is 0.5, and a student has a GPA of 3.5, then the student is one standard deviation above the mean (since (3.5 - 3.0) / 0.5 = 1). On the other hand, if the same student had a GPA of 2.5, then they would be one standard deviation below the mean (since (2.5 - 3.0) / 0.5 = -1).

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