Can someone do question 2?
Compute each improper integral showing ALL steps. Be sure to include an appropriate limit and carry it through to the end of the problem for full credit. 1. Je - Fax dx 2. 1 dx x2 + 2x - 3

Answers

Answer 1

For the first integral, Je - Fax dx, we need to determine the limits of integration. Since this is an improper integral, we need to take the limit as b approaches infinity. Thus, we have:

lim(b→∞) ∫e^-ax dx from 0 to b

Integrating, we have:

lim(b→∞) [-1/a * e^-ax] from 0 to b
= lim(b→∞) [-1/a * (e^-ab - e^0)]
= lim(b→∞) [-1/a * (e^-ab - 1)]

Since we are taking the limit as b approaches infinity, e^-ab approaches 0, so we are left with:

lim(b→∞) [-1/a * (-1)]
= 1/a

Therefore, the value of the improper integral Je - Fax dx is 1/a.

For the second integral, we have:

∫1 dx / (x^2 + 2x - 3)

We can factor the denominator to get:

∫1 dx / [(x+3)(x-1)]

Now, we need to determine the limits of integration. Since this is an improper integral, we need to take the limit as both a and b approach infinity. Thus, we have:

lim(a→-3+) lim(b→∞) ∫1 dx / [(x+3)(x-1)]

Integrating using partial fractions, we have:

∫1 dx / [(x+3)(x-1)] = 1/4 ∫1 dx / (x+3) - 1/4 ∫1 dx / (x-1)

Taking the limit as b approaches infinity, we have:

lim(b→∞) [1/4 ln|x+3| - 1/4 ln|x-1|] from a to b
= lim(b→∞) [1/4 ln|(b+3)/(b-1)| - 1/4 ln|(a+3)/(a-1)|]

Taking the limit as a approaches -3, we have:

lim(a→-3+) [1/4 ln|(b+3)/(b-1)| - 1/4 ln|(a+3)/(a-1)|]
= 1/4 ln|b+3| - 1/4 ln(2/4)
= 1/4 ln|b+3| - 1/8 ln2

Since both limits exist and are finite, the value of the improper integral ∫1 dx / (x^2 + 2x - 3) is:

1/4 ln|b+3| - 1/8 ln2

We're asked to compute the improper integral:

∫(1 / (x^2 + 2x - 3)) dx

To begin, we need to factor the quadratic in the denominator:

x^2 + 2x - 3 = (x + 3)(x - 1)

Now, we can use partial fraction decomposition to rewrite the integrand:

1 / [(x + 3)(x - 1)] = A / (x + 3) + B / (x - 1)

Multiplying both sides by (x + 3)(x - 1) gives:

1 = A(x - 1) + B(x + 3)

Solving for A and B, we can set x = 1:

1 = A(0) + B(4) => B = 1/4

And set x = -3:

1 = A(-4) + B(0) => A = -1/4

So, our integrand can be rewritten as:

-1/4(1 / (x + 3)) + 1/4(1 / (x - 1))

Now, we can integrate each term separately:

∫[-1/4(1 / (x + 3)) + 1/4(1 / (x - 1))] dx = -1/4∫(1 / (x + 3)) dx + 1/4∫(1 / (x - 1)) dx

The integrals can be computed using natural logarithm:

= -1/4 ln| x + 3 | + 1/4 ln| x - 1 | + C

Therefore, the final answer is:

-1/4 ln| x + 3 | + 1/4 ln| x - 1 | + C

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Related Questions

In a _______ , _______, not all members of a population have an equal probability of being included?

In an _______, _______, all members of the population have an equal probability of being included.

Some associations are stronger than others, what describes the strength of the association?

A) Effect Size B) Bivariate correlations C) Correlational Samples D) None of the Above

Curvilinear association is one in which the correlation coefficient is zero (or close to zero) and the relationship between two variables isn't a straight line? True/ False

Answers

In a nonprobability sampling, not all members of a population have an equal probability of being included.

In a probability sampling, all members of the population have an equal probability of being included.

The strength of the association is described by the effect size.

Curvilinear association is one in which the correlation coefficient is zero (or close to zero) and the relationship between two variables isn't a straight line. False.

In nonprobability sampling, the selection of individuals from the population is not based on random sampling principles. This means that not all members of the population have an equal probability of being included in the sample.

In probability sampling, every member of the population has an equal and known chance of being selected for the sample. Random sampling methods, such as simple random sampling, stratified random sampling, and cluster sampling, are commonly used to achieve this. In probability sampling, the sample is representative of the population, and statistical inferences can be made.

The strength of the association between two variables is typically measured by the effect size. Effect size quantifies the magnitude or magnitude of the relationship between variables and provides an indication of the practical or substantive significance of the association.

Curvilinear association refers to a relationship between two variables that cannot be adequately described by a straight line. In such cases, the correlation coefficient between the variables may be zero or close to zero, indicating no linear relationship.

Nonprobability sampling involves selecting individuals without an equal probability of inclusion, while probability sampling ensures that all members of the population have an equal chance of being included. The strength of the association between variables is described by the effect size, and a curvilinear association indicates a non-straight line relationship between variables.

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F(x)=(2x-5)^2
Find the inverse

Answers

Answer: The function does not have an inverse.

Step-by-step explanation:

Unless the domain is restricted, the function doesn't have an inverse because it is not one-to-one.

-5x+3y>9 help me plesese so i can grids

Answers

Answer:\(x<−95+3y5\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

lynne has \$8.00$8.00dollar sign, 8, point, 00 to spend on apples and oranges. apples cost \$0.65$0.65dollar sign, 0, point, 65 each, and oranges cost \$0.75$0.75dollar sign, 0, point, 75 each. if there is no tax on this purchase and she buys 555 apples, what is the maximum number of whole oranges she can buy?

Answers

Lynne can buy 5 apples and 6 oranges with her $8.00.

The first thing to do is determine how much money Lynne spends on the apples. Since she is buying 5 apples,

we can multiply the price of each apple ($0.65) by 5: $5 * 0.65 = $3.25

Therefore, Lynne has $8 - $3.25 = $4.75 to spend on oranges.

Now we need to determine the maximum number of whole oranges that she can buy with $4.75. We can do this by dividing $4.75 by the price of each orange ($0.75): $4.75 ÷ $0.75 = 6.33.

Since we can't buy a fraction of an orange, the maximum number of whole oranges Lynne can buy is 6. Therefore, Lynne can buy 5 apples and 6 oranges with her $8.00.

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What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.

Answers

The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4

A cylindrical container with a radius of 6 cm and a height of 10 cm is filled with water to a depth of 6 cm. A sphere with a radius of 3 cm is placed at the bottom of the container.
a) What is the volume of the water to the nearest tenth?
b) What is the volume of the sphere to the nearest tenth?
c) How much higher does the water level rise in the container, to the nearest tenth, after the
sphere is placed inside?

Answers

Answer:

a. 452.4 cm³ to the nearest tenth b. 113.1 cm³ to the nearest tenth

c. 5.0 cm to the nearest tenth

Step-by-step explanation:

a. The volume of the water V₁ = πr²h since it is in a cylindrical container. r = 6 cm and h = 10 cm - 6 cm = 4 cm (since it is filled to a depth of 6 cm measuring from the top, so we have a height from the bottom of 10 cm - 6 cm = 4 cm).

So, V₁ = πr²h

= π × (6 cm)² × 4 cm

= 452.39 cm³

= 452.4 cm³ to the nearest tenth

b. The volume of the sphere V₂ = 4πr³/3 where r = radius of sphere = 3 cm.

V₂ = 4πr³/3

= 4π(3 cm)³/3

= 113.1 cm³ to the nearest tenth

c. When the sphere is placed in the container, the new volume of water in the container would be V = V₁ + V₂

So V = 452.4 cm³ + 113.1 cm³ = 565.5 cm³

Since the volume of water is still the volume of a cylinder, its height h is

h = V/πr²

= 565.5 cm³/π(6 cm)²

= 5.0 cm to the nearest tenth

At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. Which explains how to find the better buy? Divide 4. 50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Divide 0. 80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Multiply 4. 50 by 5 to find the cost for 5 pounds, and compare to $4. 50 per bag. Multiply 4. 50 by 0. 80 to find the cost for 5 pounds, and compare to $4. 50 per bag.

Answers

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

What is cost price per pound?

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

\(C=\dfrac{4.50}{5}\\C=0.5625\)

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

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the square root of 31 is between which two numbers !!! ILL GIVE YOUU A BRANLIESTTT!!

Answers

Answer:

The square root of 31 is 5.5 (not including numbers after that, just those two work) therefore it's in between the two numbers of 5 and 6.

Answer:

5.56776436283

Step-by-step explanation:

i googled it

The nullspace of nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors.
A. True
B. False

Answers

The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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Me ayudan pleas
59
53

a =

Answers

I believe it would be 50

Help please I really need it!

Help please I really need it!

Answers

roc = 2

rise is 2, run is 1

2/1 = 2

Answer: The answer is 2 because rise 2 and run only 1. You then do 2/1 and you get 2!

true or false, Inflation occurs in an economy when there's a reduction in the total amount of money.

Answers

Answer:

False.

Inflation occurs in an economy when there is an increase in the overall price level of goods and services over time. It is usually caused by factors such as an increase in the money supply, higher demand for goods and services, or a decrease in the supply of goods and services. Therefore, a reduction in the total amount of money in an economy would generally lead to deflation, which is the opposite of inflation.

suppose a is a set with m elements and b is a set with n elements. a. how many relations are there from a to b? explain. b. how many functions are there from a to b? explain. c. what fraction of the relations from a to b are functions?

Answers

a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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the length of the Triangle are 5 inches amd 8 inches. which of the following lengths could be the length of the third side of triangle? select all apply
a = 5 inches
B= 13 inches
C = 7 inches
D = 4 inches ​

Answers

Answer:

A, C, D

Step-by-step explanation:

Triangle inequality theorem states than the sum of any two sides must be greater than the third side

A = 5 inches

Correct

B = 13 inches

Incorrect as 5 + 8 = 13

C = 7 inches

Correct

D = 4 inches ​

Correct

Evaluate x(–y + z) for x = –1, y = 2, and z = 5.


7

3

–3

–7

Answers

Answer:

-3

Step-by-step explanation:

-1(-2+5)

-1 multiplied by (-2+5)

+2-5

=-3

Hope this helped!

Answer:-3

Step-by-step explanation:

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard. Which two-way table correctly displays this data? A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 64, 99. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 211, 256. A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 99, 147, 246. The fourth column is labeled Total with entries 134, 160, 294. A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 64, 147, 211. The fourth column is labeled Total with entries 99, 160, 259. A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 99, 134. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 246, 294.

Answers

Two way table is description of two dimensions' data and their intersections' data. The correct two-way table for the given data is:

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ..., Y_k\). List them in title of the rows and left to the columns. There will be \(n \times k\) table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of \(X_i\) and \(Y_j\) (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

For the given case, let we suppose:
X = Ownership for skateboards

\(X_1\) = Student owns a skateboard\(X_2\) = Student not owning skateboard

Y = Ownership for snowboards

\(Y_1\) = Student owns a skateboard\(Y_2\) = Student not owning skateboard

Their frequencies are given in the problem as:

35 of the 99 students who own a skateboard have snowboarded.

That means  \(n(X_1 \cap Y_1) = 33\), and \(n(X_1)\) = 99 (total frequency(number of students) is 99)

There were 13 students who have snowboarded but do not own a skateboard, so \(n(X_2 \cap Y_1) = 13\)

147 students who have never gone snowboarding and do not own a skateboard.  Thus, \(n(X_2 \cap Y_2) = 147\)

We get the table as:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&35&n(X_1\cap Y_2)&99\\X_2&13&147&n(X_2)=13 + 147=160\\\rm Total & n(Y_1)=35+13=48 & n(Y_2) & S=160+99=259 \end{array}\)

Thus, we get number of students who doesn't own snowboard but own skateboard = 99 - 35 = 64

and total students not owning either snowboard or skateboard = 35 + 147 = 182

Thus, the completed table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&35&64&99\\X_2&13&147&160\\\rm Total & 48 & 211 & 259 \end{array}\)

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Answer: C

Step-by-step explanation:

13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?

Answers

Answer:the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8


Enter equations one at a time in order to send a line
through the coins to "capture" them.

Enter equations one at a time in order to send a linethrough the coins to "capture" them.

Answers

Answer:

y = x + 3

y = 3x + 1

Step-by-step explanation:

This does it in two equations.

y = x + 3 and  y = 3x + 1 equation will send 2 different lines through the coins to capture them

using the slope intercept equation,

y = mx + b

m = slope

b = y-intercept

let's pick 2 coordinate from the graph,

(-2, 1)(-1, 2)

m = 2 - 1 / -1 - (-2)  = 1 / 1 = 1

1 =  -2 + b

b = 3

Therefore,

y = x + 3

let check for another equation that will work for another line. Let's use the coordinates (-1, -2)(0, 1) to find slope.

Therefore,

m = 1 - (-2) / 0 - (-1) = 3 / 1 = 3

y = 3x + b

1 = 3(0) + b

b = 1

y = 3x + 1

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within which interval would you expect to find the largest number of observations?

Answers

By organizing the data into intervals and counting the frequency of observations, we can identify the range of values in which the most data points are located.

In statistics, an interval is a range of values within which we expect to find a certain amount of observations.

The number of observations within an interval is known as the frequency, and it can be used to determine where the majority of values lie in a data set.

When we are looking for the interval with the largest number of observations, we are trying to find the range of values in which the most data points are located.

In order to do this, we need to first organize the data into intervals, often called bins, and then count the frequency of observations within each bin.

For example, if we have a data set of 100 heights of people, we could create 10 bins with a range of 10 cm each. The first bin would cover the range of heights from 0-10 cm, the second bin from 10-20 cm, and so on. After counting the number of people in each bin, we can easily see which bin has the largest frequency, and therefore the interval with the largest number of observations.

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The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic only if the sample size is large. The sample size is large enough if each expected count is Select one:
a. 5 or higher
b. 25 or higher
c. 10 or higher
d. 15 or higher
e. 20 or higher

Answers

The correct answer to the given question about chi-square distribution and sampling distribution is a. 5 or higher.

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic only if the sample size is large. Generally, a sample size of 5 or higher is considered large enough for this approximation. This is because the chi-square distribution approaches a normal distribution as the degrees of freedom increase, and a sample size of 5 or more provides enough degrees of freedom for the approximation to be valid. However, if any expected count is less than 5, then the approximation may not be reliable, and alternative methods should be considered (such as Fisher's exact test or the Monte Carlo method).

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what is the Pythagorean theorem

Answers

Answer:

a^2+b^2=c^2

Step-by-step explanation:

leg1=a

leg2=b

hypotenuse=c

a^2+b^2=c^2

Answer:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Step-by-step explanation:      

Consider the series
∑n=1[infinity]an=(x−6)^3+((x−6)^6)/(3⋅2!)+((x−6)^9)/(9⋅3!)+((x−6)^12)/(27⋅4!)+⋯
Find an expression for an.

Answers

The final expression for the nth term of the series is an = \(((x-6)^3 * 3! * (x-6)^{(3n-6))}/(3^{(n-1)} * (3n-3)(3n-4)(3n-5)...(6)(5)(4)(3)(2))\).

To find an expression for an, we first need to notice that each term in the series is a power of (x-6) raised to a multiple of 3, divided by the product of that multiple and the factorial of that multiple divided by 3. In other words, the general term of the series can be written as:

an = \(((x-6)^{(3n-3))}/((3n-3)!(3^{(n-1)))\)

We can simplify this expression by factoring out \((x-6)^3\) from the numerator:

an = \(((x-6)^3 * (x-6)^{(3n-6))}/((3n-3)!(3^{(n-1)))\)

Now we can simplify further by using the formula for the product of consecutive integers:

(3n-3)! = (3n-3)(3n-4)(3n-5)...(6)(5)(4)(3)(2)(1)

We can rewrite this expression as:

(3n-3)! = [(3n-3)(3n-4)(3n-5)...(6)(5)(4)(3)(2)] / (3⋅2)

Notice that the denominator is equal to 3⋅2!, which is exactly what we need in the denominator of our original expression. Therefore, we can substitute this new expression for (3n-3)! in our original expression for an:

an = \(((x-6)^3 * (x-6)^{(3n-6))}\)/([(3n-3)(3n-4)(3n-5)...(6)(5)(4)(3)(2)] / (3⋅2))

Simplifying this expression, we get:

an = \(((x-6)^3 * 3! * (x-6)^{(3n-6))}/(3^{(n-1)} * (3n-3)(3n-4)(3n-5)...(6)(5)(4)(3)(2))\)

This is our final expression for the nth term of the series.

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Given that Y is between X and Z. If XY8n 4,YZ = 4n + 8, and XZ = 150-9, what is thelength of XZ ?

Answers

Given:

XY = 8n + 4

YZ = 4n + 8

XZ = 15n - 9

Y between X and Z so, XY + YZ = XZ

So,

8n + 4 + 4n + 8 = 15 n - 9

solve to find n

So, combine like terms

12 n + 12 = 15 n - 9

12 n - 15 n = -9 - 12

-3 n = -21

divide both sides by -3

n = -21/-3 = 7

So,

The length of XZ = 15n - 9 = 15 * 7 - 9 = 96

Given that Y is between X and Z. If XY8n 4,YZ = 4n + 8, and XZ = 150-9, what is thelength of XZ ?

In triangle ABC, the measure of C is 90°,
AC=24, and BC=10. What is the value of sin
A?

Answers

Answer:

Sin A = 0.38462

Step-by-step explanation:

From the trigonometric function,

Sin A = \(\frac{Opposite}{Hypotenuse}\)  ................... 1

So that, applying the Pythagoras theorem to determine the value of hypotenuse,

\(/Hyp/^{2}\) = \(/Opp/^{2}\) + \(/Adj/^{2}\)

            = \(24^{2}\) + \(10^{2}\)

            = 576 + 100

\(/Hyp/^{2}\) = 676

Hyp = \(\sqrt{676}\)

       = 26

The hypotenuse of the triangle is 26.

Thus, from equation 1;

Sin A = \(\frac{10}{26}\)

Sin A = 0.38462

Help please no links as an answer

Help please no links as an answer

Answers

Answer:

essentially the answer is 33

Determine the
equation of a line
that has an
x-intercept of 3 and
a y-intercept of 4.​

Answers

Answer:

Step-by-step explanation:

x intercept it means y=0 (3,0)

y intercept means x=0 (0,4)

find the slope : y2-y1/x2-x1

y2-y1= 4-0=4

x2-x1= 0-3=-3

m=4/-3

y=mx+b       b=4 since x=0

y=-4/3 x+4

A table is made using the following two patterns.

Pattern x: Starting number: 3, Rule: add 3

Pattern y: Starting number: 6, Rule: add 6

Complete the table for the given patterns.

And then it asks to graph the points from 3 points

Answers

The rules of the patterns are 3 + 3x and 6 + 6y

How to complete the pattern?

The patterns are given as:

Pattern x: Starting number: 3, Rule: add 3Pattern y: Starting number: 6, Rule: add 6

For pattern x, we have the following highlights:

Start = 3

Rule = Add 3

This means that the nth term of pattern x is:

Pattern x = 3 + 3x

For pattern y, we have the following highlights:

Start = 6

Rule = Add 6

This means that the nth term of pattern y is:

Pattern y = 6 + 6y

The complete table

For pattern x, set x = 0, 1, 2 and 3

So, we have

3 + 3x = 3 + 3(0) = 3

3 + 3x = 3 + 3(1) = 6

3 + 3x = 3 + 3(2) = 9

3 + 3x = 3 + 3(3) = 12

For pattern y, set y = 0, 1, 2 and 3

So, we have

6 + 6x = 6 + 6(0) = 6

6 + 6x = 6 + 6(1) = 12

6 + 6x = 6 + 6(2) = 18

6 + 6x = 6 + 6(3) = 24

Next, we plot the graphs of both patterns (see attachment) where the blue line represents pattern 1, and the other represents the second pattern

Read more about linear patterns at

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A table is made using the following two patterns.Pattern x: Starting number: 3, Rule: add 3Pattern y:

A wire 22 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter piece of wire

Answers

Answer:

Explanation: L = longer piece S = shorter piece

L + S = 22

L = 4 + S

S + S + 4 = 22
-4 -4
S + S = 18

S = 18/2 = 9 cm

L = 4 + S —> 4 + 9 = 13 cm

To confirm:

13 cm + 9 cm = 22 cm

Therefore, the shorter piece is 9 cm.

In the given right triangle, AX is the altitude. If CX-9 and AX - 9, what is the length of BC? "Note: Figure not drawn to scale"
A)
9
B)
10
9
18
D)
27

In the given right triangle, AX is the altitude. If CX-9 and AX - 9, what is the length of BC? "Note:

Answers

Answer:

Step-by-step explanation:

I’m pretty sure the answer is C

Answer: C) 18

Step-by-step explanation: If you don’t believe me, please select the image below for proof.

In the given right triangle, AX is the altitude. If CX-9 and AX - 9, what is the length of BC? "Note:

Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.

Answers

Answer:

166 copies

Step-by-step explanation:

Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card

balance.

Let x represent the number of times a photo copy is made

The inequality for be the equation is given as:

At least has the inequality sign of ≥ 5

$15.00 - 0.06 × x ≥ 5

$15.00 - $0.06x ≥ 5

$15 - 0.06x = 5

$15- $5 = 0.06x

$10 = 0.06x

x = 10/0.06

x = 166.66666667 copies

Therefore, the number of copies he can make, with his copy card

balance such that there will be at least $5.00 left on his card when he is finished is 166 copies.

Answer:

C. 166

Step-by-step explanation:

Mark me as brainliest plz

did it on edge 2020 btw

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