solve with clear steps pleaseQuestion 2 Evaluate the integral. (2+cscx) dx Solution:

Answer:

The answer is 89

Step-by-step explanation:

You take 557 from the 6 weeks and subtract it with 379 from the 4th week.

557-379=178

178 divided by 2 equal 89.

89 is the answer.

The result of the transformation, particularly translation of the graph of f(x) = x² - 3x - 2 shifted 4 units left is; Choice C; g(x) = (x+4)² - 3(x+4) - 2.

It follows from the task content that the result of the translation of the graph of f(x) 4 units to the left is to be determined.

Hence, the required graph if g(x) is simply represented in terms of f as follows;

g(x) = f (x + 4)

Consequently, the required expression for g(x) is; Choice C; g(x) = (x+4)² - 3(x+4) - 2.

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The correct option is option (C) .

Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .

Sampling :

Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.

Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.

There are two main types of sampling:

i) probability sampling

ii) Non-probability sampling

A) probability sampling:

It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.

The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.

Probability Samples:

1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.

2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.

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Answer:

80 did i go fast enough

Step-by-step explanation:

Answer:

  2.    3

2x(7x.  - 1)

Step-by-step explanation:

We can construct a chart, a table for the values of the given function as follows:

1. We need to have the function g(x) = -4x^2.

2. We can obtain the values for the function for the values:

x = -4, x = -2, x = 0, x = 2, x = 4.

3. We need to evaluate the function for each of these values.

4. Finally, we can have a table of the values of x and y.

Having this information into account, we can proceed as follows:

1. x = -4

2. x = -2

3. x = 0

4. x = 2

5. x = 4

Then, having these values, we can construct the values for the function using these values:

We can draw part of this function using these values. We have to remember that, in functions, we can say that y = f(x).

We can also say that the domain of the function is, in interval notation:

And the range, as we can see from the values, is as follows (using interval notation):

This is because the values for y (or f(x)) are less or equal to zero.

In summary, we can have a table to construct a graph using the values for the independent variable and plug these values in the function to obtain the values for y.

We need to remember that y = f(x). Additionally, this function has a domain from -infinity to infinity (all the values in the Real set), and a range for values from -infinity to 0 (including zero).

A graph for this function is as follows:

Answer:

b) x = 4

Explanation:

\(2x^2 - x + 10 = 38\)

collect variables

\(2x^2 - x + 10 - 38 = 0\)

simplify

\(2x^2 - x - 28 = 0\)

breakdown

\(2x^2 -8x + 7x - 28 = 0\)

factor out

\(2x(x - 4) + 7(x - 4) = 0\)

collect into groups

\((2x + 7)(x - 4) = 0\)

set to zero

\(2x + 7 = 0, x - 4 = 0\)

relocate variable

\(2x = -7, x = 4\)

final solutions

\(x = -3.5, x = 4\)

The answer is b.

To find the value of x, we need to convert this into the form of a quadratic equation.

Subtract 38 from each side.

Solve by splitting the middle term.

The average Jeremy can create 24 different outfits for school by combining 1 pair of pants, 1 shirt, 1 tie, and 1 jacket.

Jeremy can mix and match his items to create different outfits for school. Since he owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets, he can create 24 different outfit combinations. For each outfit, he must wear 1 pair of pants, 1 shirt, 1 tie, and 1 jacket. He can mix and match any of the items he owns to create a variety of looks. For example, he could wear a blue shirt, grey pants, and a striped tie with a black jacket. Or, he could wear a white shirt, black pants, a polka-dotted tie, and a brown jacket. By combining his items in different ways, he can create 24 different outfits for school.

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Answer:

2.133 g/cm³

Step-by-step explanation:

We are given;

Mass = 832 g

Length = 12 cm

Width = 6.5 cm

Height = 5 cm

Now, volume of a block is given by the formula; length × width × height = 12 × 6.5 × 5 = 390 cm³

Now, density = mass/volume

Thus; density = 832/390 = 2.133 g/cm³

Answer: Radha pays $387.50 more interest than Fabina

Step-by-step explanation:

                            Fabina

Simple Interest: I = P × r × t

                            = 12500 × 0.10 × 3

                            = $3750.00

                                  Radha

\(\text{Compound Interest:}\ A = P(1+r)^t\\.\qquad \qquad \qquad \qquad \qquad =12500(1+0.10)^3\\.\qquad \qquad \qquad \qquad \qquad =12500(1.10)^3\\.\qquad \qquad \qquad \qquad \qquad =16637.50\)

16637.50 - 12500 = $4137.50

                                  4137.50 - 3750.00 = $387.50

Aril's cumulative donation exceeds Dita's cumulative donation in the 5th month. At that time, Aril has donated 4,656.25 kr and Dita has donated 4,400 kr.

To solve the problem, we can start by setting up the equation for the cumulative donation for each person. Let A be Aril's cumulative donation in kr and let D be Dita's cumulative donation in kr. Then we have:

A(n) = 150(2.5)⁽ⁿ⁻¹⁾ where n is the number of months

D(n) = 300 + 400(n-1) where n is the number of months

We want to find the smallest value of n such that A(n) > D(n). Substituting in the equations above, we get:

150(2.5)⁽ⁿ⁻¹⁾  > 300 + 400(n-1)

Simplifying, we get:

(2.5)⁽ⁿ⁻¹⁾ > 2 + 8/15(n-1

We can solve this inequality by trial and error or by using logarithms. Using logarithms, we get:

(n-1)log(2.5) > log(2 + 8/15(n-1))

(n-1) > log(2 + 8/15(n-1))/log(2.5)

Using trial and error or a calculator, we can find that the smallest integer n that satisfies this inequality is 6. Therefore, Aril's cumulative donation exceeds Dita's cumulative donation in the 6th month.

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Complete question:

Aril and Dita are wealthy Norwegian business owners who make monthly donations to international disaster relief.

• Aril donated 150 Norwegian kroner (kr) the first month, and the cumulative number of Norwegian kroner she has donated increases by a factor of 2.5 each month.

• Dita donated 300 kr the first month, and the cumulative number of Norwegian kroner she has donated increases by 400 kr each month.

They started making donations at the same time, and they both make their monthly donations at the beginning of each month.

What is the first month in which Aril's cumulative donation exceeds Dita's cumulative donation?

Step-by-step explanation:

factor out x because that variable is common in all 3 terms

x (x2 - x - 12)

now you can factor

x (x-4) (x+3)

when you use FOIL you will see you arrive at the original answer.

so yes it is a factor

Answer:

your answer would be 186

Step-by-step explanation:

310 / 5 = 62

62 x 3 = 186

Answer:

x>6

Step-by-step explanation:

because the student will study Latin at least, meaning the least amount of time would be 6 so x would have to be greater than 6.

If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.

The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.

In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.

On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.

It would be difficult to represent multiple edges between two vertices using this data structure.

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Answer:

(36, -4).

Step-by-step explanation:

The scaled point B (9,-2) would be (36,-8) and after the translation up 4 units, the final image of B would be (36, -4).

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Explanation

Add the components of the vectors

u+v = (4,2) + (-3,2)

u+v = (4+(-3),  2+2)

u+v = (1,4)

Then to evaluate the length of vector u = (a,b), we use this formula

|u| = sqrt(a^2+b^2)

Which is derived from the pythagorean theorem. We're looking for the hypotenuse of the right triangle formed. In this case a = 1 and b = 4.

So,

|u+v| = sqrt(1^2 + 4^2)

|u+v| = sqrt(17)

Answer:

-10=x

Step-by-step explanation:

9x-1=10x+9

9x-10×=9+1

-x=10

x=-10

Answer:

Ok so I used an app called Cymath it helps with checking your work and it goes down step by step and I use it for these kind of problems....the last step (3) is your answer.

Step-by-step explanation:

I hope I helped! :)

In order to rewrite these values in the standard form, let's calculate the product with the power of 10 from each number.

For the length, we have:

For the thickness, we have:

Answer:

1. y=1/4x+3

2. y=2x

3. y=-1/4x+9/2

4. I cannot solve 4 because there is not two point to solve fir slope intercept form

\(\\ \ast\bull\rm\longmapsto 8(4d+3)+8d\)

\(\\ \ast\bull\rm\longmapsto 32d+24+8d\)

\(\\ \ast\bull\rm\longmapsto 32d+8d+24\)

\(\\ \ast\bull\rm\longmapsto 40d+24\)

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

\(z=\frac{x-\mu}{\sigma}\)

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

\(z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5\)

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

Explanation:

There are 2 choices for the first slot (S or T)

For the second slot, we have 26 choices (letters A through Z)

The third and fourth slots are the same story assuming we can repeat a letter.

We have 2*26*26*26 = 2*26^3 = 35152 different codes possible.

The total number of different four-letter secret codes can be formed if the first letter must be an S or a T is n = 35,152

The number of ways of selecting r objects from n unlike objects is given by combinations

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

There are two choices for the first letter (S or T). For each of those choices, there are 26 choices for the second letter, 26 choices for the third letter, and 26 choices for the fourth letter (since repetition is allowed).

Therefore, the total number of different four-letter secret codes that can be formed is

n = 2 x 26 x 26 x 26

n = 35,152 words

Hence , the number of codes is 35,152

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