what is the solution of the system? {4x-y=-38 x+y=3

Answer:

8x^2y

Step-by-step explanation:

Subtract 2x^2y from 10x^2y

Step-by-step explanation:

the difference of 10x²y and 2x²y

Answer:

Step-by-step explanation: So since one of the box Is bigger it is larger in numbers so see how many little boxes can make the big box okay.

The margin of error is:

a) 0.069

b) 0.035

c)  0.021

d) 0.032

e) 0.028

What is confidence level?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Given,

Here at 95% CI, the z value is 1.96

a) sample n = 200, p = 0.52

Now, we find the margin of error and we get

Margin of error = z×√(p(1-p)/n)

Now, substitute values of p, n, and z and we get

= 1.96×√(0.52(1-0.52)/200)

= 0.069

b) n = 800 , p = 0.52

Margin of error = z×√(p(1-p)/n)

Now, we substitute values of n, p, and z and we get

= 1.96×√(0.52(1-0.52)/800)

= 0.035

c) n = 800 , p = 0.1

First,  we find the margin of error and we get

Margin of error = z×√(p(1-p)/n)

Now, we substitute values and we get

= 1.96×√(0.1(1-0.1)/800)

= 0.021

d) n = 800 , p = 0.7

Margin of error = z×√(p(1-p)/n)

Now, we substitute values and we get

= 1.96×√(0.7(1-0.7)/800)

= 0.032

e) n = 1200 , p = 0.60

First, we find the margin of error and we get

Margin of error = z×√(p(1-p)/n)

After substituting values we get

= 1.96×√(0.6(1-0.6)/1200)

= 0.028

Hence,

The margin of error is:

a) 0.069

b) 0.035

c)  0.021

d) 0.032

e) 0.028

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Answer:

09

Step-by-step explanation:

34

The correct number of different ways 10 identical balloons can be given to four children if each child receives at least two balloons is 11. This can be answered by the concept of Combination.

To solve this problem, we can use generating functions, which are a powerful tool in combinatorics for counting the number of ways to distribute objects. Let's define a generating function for each child, representing the number of balloons they receive.

Let the generating function for the first child be represented as x², as each child must receive at least two balloons. Similarly, the generating functions for the other three children would also be x² each.

Now, we can multiply these generating functions together to represent the combined number of balloons given to all four children. Multiplying x² four times gives us (x²)⁴, which simplifies to x⁸.

Finally, we need to find the coefficient of x¹⁰ in the expansion of x⁸. This represents the number of ways to distribute 10 identical balloons among the four children, with each child receiving at least two balloons.

Using the binomial theorem or simply by expanding (x²)⁴, we get the coefficient of x¹⁰ to be 11.

Therefore, The correct number of different ways 10 identical balloons can be given to four children if each child receives at least two balloons is 11

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The matchup are:

Individuals who possess their own piece of land and cultivate their own crops are known as farmers.

In essence,  hunter-gatherers primarily hunt for their sustenance. They possess arms and venture into the woods or fields to hunt and procure sustenance. They consume the fruits of their own labor by relying on their ability to obtain food.

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Answer:

77.

Step-by-step explanation:

an = a1 + (n-1)d    where d is the common difference.

a12 = a1 + 11d

22 = a1 +11(-5)

22 = a1 - 55

a1 = 22 + 55

a1 = 77.

The first term of the arithmetic series can be obtained using the relation, A12 = a1 + 11d ; Hence, the first term is 77

To obtain the nth term of an arithmetic series ; use the relation :

The 12th term can be defined as :

22 = a1 + 11(-5)

22 = a1 - 55

22 + 55 = a1

a1 = 77

Therefore, the first term of the arithmetic series is 77

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Both y = x and y = x -3 have a slope of 1

y = x passes through the origin while y = x -3 intersects the y-axis at the point (0, -3)

Both functions represent a straight line of the form y = mx + c

where m is the slope

c is the y-intercept

For the function y = x

The slope = 1

The y-intercept = 0

That is the line y = x passes through the origin

For the function y = x-3

The slope = 1

The y-intercept = -3

The line passes intersects the y-axis at (0, -3)

The graphs of y=x and y = x - 3 are attached below

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Answer:

When two numbers have no common factors other than 1.

Step-by-step explanation:

In other words there is no value that you could divide them both by exactly (without any remainder).

21 and 22 are relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 22 are 1, 2, 11 and 22

(the only common factor is 1)

But 21 and 24 are NOT relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

(the common factors are 1 AND 3)

Relatively Prime is also called "coprime" or "mutually prime".

Here we see that 12 and 16 are NOT relatively prime

The total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

It is defined as the money spends on the utility, the amount of money is required to buy something in other words it is the outflow of money from the solely earners income or the money incurred by any organization.

Melinda kept a record of her spending for the week as follows:

The amount she spent money to put gas in the car = $25

The amount to buy a new shirt = $22.38

The amount to play putt-putt golf with some friends = $6.95

The amount to buy groceries = $38.71

To calculate the total expenses for the week, we must add all the expenses:

= $25+$22.38+$6.95+38.71

= $93.04

Thus, the total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

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The ratio of baking powder to flour is 1/192 teaspoon of baking powder for every teaspoon of flour.

The amount of baking powder per unit of flour is the unit rate for baking powder and flour. The amount of flour in this situation equals 1 2/3 cups. We must change the baking powder measurement to the same unit as the flour measurement in order to calculate the unit rate.

For every 1 2/3 cups of flour, 1/4 teaspoon of baking powder should be used as follows:

1/4 teaspoon / (1 2/3 cups)

By changing the numerator and denominator of the fraction on the right side to a standard unit, such as teaspoons, we may make it simpler. 1 2/3 cups equal 48 teaspoons, so:

1/4 teaspoon / (1 2/3 cups) = 1/4 teaspoon / (48 teaspoons)

The ratio of baking powder to teaspoons is as follows:

1/4 teaspoon / (48 teaspoons) = 1/192 teaspoon per teaspoon

So The ratio of baking powder to flour is 1/192 teaspoon of baking powder for every teaspoon of flour.

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Answer:

3

Step-by-step explanation:

Answer: a is 16, b is -8

Step-by-step explanation:

3a-45=3

add 45 to both sides to get rid of -45

3a=48

divide both sides by 3

a = 16

plug 16 into the first equation

16 + b = 8

subtract 16 from both sides

b = -8

is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.

Answer:

12

Step-by-step explanation:

To find range, you subtract the largest and smallest number :)

The value for x is x= \(sin^{-1\) (0.5425).

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

H= 25

B = 21

Using Pythagoras theorem

P = √H² - B²

P = √25² - 21²

P = √184

P =  2√46

Using Trigonometry

sin x = P / H

sin x = 2√46 / 25

x= \(sin^{-1\) (0.5425)

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Answer:

x5

Step-by-step explanation:

Answer:

(x - 1) (x + 4)

Step-by-step explanation:

Answer:

point p,q,x and w

Step-by-step explanation:

Okay, so let's call B = the number of sandwiches Bill sells

and P = the number of sandwiches Pete sells

Since Bill sells 7 times as many sandwiches as Pete, then

B = 7P

And the difference between their sales is 414 sandwiches. Since we know that Bill sells more than Pete, then

B - P = 434

So, now we can substitute for B from the equation above B = 7P

x = bill's

y = pete's

x = 8y

B - P = 434

7P - P = 434

6P = 434

P = 72.33

Therefore, Pete sells 72.33 sandwiches

Bill sells 7 x 72.33 = 506 sandwiches.

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The probability of one or the other occurring is 1.00.

If two events are collectively exhaustive, the probability that one or the other occurs is 1.00.

In probability theory, collectively exhaustive refers to a set of events that includes all of the possible outcomes of a trial.

It is said to be a set of events that represents all of the possible outcomes of an experiment, implying that one of them must be true. The two or more events, when combined, cover all of the possibilities that could occur.

The probability of the occurrence of each event in the set must be between 0 and 1.

As a result, if we have a pair of collectively exhaustive events, the possibility of one or the other happening is 1.00.

Since the set of events is collectively exhaustive, we can conclude that either A or B must occur, and because both probabilities are mutually exclusive, the probability of one or the other occurring is 1.00.

As a result, the answer is 1.00.

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Answer:

Rent for B = 1896
Rent for C = 3062

Step-by-step explanation:

the B and C apartment's monthly rent combined  is $4958
rent of B is 1166 less than rent C
so the equation is
X+ (X+1166) = 4958
X= rent B
X+1166 = rent C

simplifying the equation
2X + 1166 = 4958
subtracte 1166
2X = 3792  

X= 1896, so the rent for B is 1896
after adding the 1166
the rent for C is 3062

Answer:

Only Z

Step-by-step explanation:

Supplementary angles are angles whose sum up to 180 degrees.

Answer:

The total cost of the meal was $52.92.

Step-by-step explanation:

Find the amount of tax:

Find the amount of tip:

Add the cost of the meal, tax and tip to find total cost:

The second solution to the differential equation is y2(x) = x3 + 3x4.

The method of reduction of order can be used to find a second linearly independent solution to a differential equation when one solution is already known. This method works by substituting the known solution y1 into the differential equation, and then solving the resulting equation for a second solution y2.

For example, in problem 38, we are given the differential equation \(x2y" + xy' – 9y = 0 (x > 0)\), and the solution y1(x) = x3. To find the second solution, y2, we substitute y1(x) = x3 into the differential equation:

\(x2(3x2) + x(3x) – 9x3 = 0\)

Simplifying this equation yields\(9x5 – 9x3 = 0\), which is satisfied when x = 0.

Now, we can use the method of reduction of order to find y2(x):

\(y2(x) = y1(x) + ∫f(x, y1(x), y1'(x))dx\)

Substituting in our values yields \(y2(x) = x3 + ∫[0 – 9x3]dx = x3 + 3x4.\)

Therefore, the second solution to the differential equation is \(y2(x) = x3 + 3x4.\)

The same process can be applied to problems 39 through 42 to find the second solution for each differential equation.

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You need to plot each line and see where they intersect.

Line 1: y = x+2

Plot the y-intercept (0,2) because of the +2 in the equation.

From (0,2), count "up 1, right 1" to get a second point, because the slope is 1.

From that new point, repeat the "up 1, right 1" to plot a third point.

Connect the dots to make your line.

Line 2: y = -1/3 x - 2

Repeat the same process, using the the y-intercept and slope for this line.

Then identify where they intersect.

Answer:

 y = -x -1

Step-by-step explanation:

The x- and y-coordinates will be the same for the parallel line, so we only need to find the constant that needs to replace the +8 in the given equation.

 y = mx +b

 y = -x +b . . . . . with the coefficient of x filled in

 -4 = -(3) +b . . . with the given point filled in

 b = -1 . . . . .add 3 to both sides

The equation is ...

 y = -x -1

Answer:

100

2. Above,

3. -200−200 ,

4. Below

Answer:

ncjkrnfkcrd

Step-by-step explanation:

nkxdnjnxjenk

Answer:

$40

Step-by-step explanation: