Write an equation in slope intercept form for the line that satisfies each set of conditions. Has y intercept -2 , parallel to the line that y=2x+4

Answers

Answer 1

Answer: y = 2x - 2

is the parallel line has a slip of 2 then your line has a slip of 2.

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Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F = cos(z), 10y, - x sin(z)

Answers

For $F$ to be conservative, we need to have

$(\partial f)/(\partial x)=\cos z$

$(\partial f)/(\partial y)=10y$

$(\partial f)/(\partial z)=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int(\partial f)/(\partial x)\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$(\partial f)/(\partial y)=10y=(\partial g)/(\partial y)\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$(\partial f)/(\partial z)=-x\sin z=-x\sin z+(\mathrm dh)/(\mathrm dz)\implies(\mathrm dh)/(\mathrm dz)=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

so $F$ is indeed conservative.

Help solve mathematics question, please. Photo.

Answers

Well there is actually 2 answers because the first one ( -5,0 ) Will work,.... And also the ( 0,-5 ) Also goes hand and hand with what the equation is asking. :) Give that a try. If you think otherwise stick with your gut feeling :)

The problems are in the attached files.

Henry deposits $25,000 into a savings account at Big City Bank. The bank pays a 2.25% simple interest. How much money will be in Henry’s account after 5 years?

Answers

Henry deposits $25,000 into a Big City Bank savings account. The bank charges a simple interest rate of 2.25%. After 5 years, Henry will have $27812.5 in his account.

What exactly is an interest rate example?

It is the annual rate charged for borrowing (or made by investing), expressed as a single percentage number that represents the actual yearly cost of funds over the loan's term.

For example, if you borrow $100 at 5% interest, you will pay back $105 to the lender. The lender will profit by $5.

Throughout your life, you may develop a variety of interests. Every loan has its own interest rate, which determines the total amount owed.

We can calculate the interest rate using the interest rate formula, which is the percentage of the principal amount charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. Interest Rate = (Simple Interest 100)/(Principal Time) is the interest rate formula.

Given,

P = 25000 r = 2.25%

t = 5

Replace the formula,

F = 25000 + 25000 × ( 2 .25/100) × 5

Calculate the quotient or product:

25000 × (1 + 0.1125)

Simplifying,

25000 × 1.1125

Calculate the quotient or product:

27812.5

Hence, After 5 years, Henry will have $27812.5 in his account.

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Answer:

$27812.5

Step-by-step explanation:

2.25% = $562.5 each year

If it takes Mark twice as long to earn $6.00 as it takes Carl to earn $4.00, what is theratio of Mark’s pay per hour to Carl’s pay per hour?

Answers

The ratio of Mark’s pay per hour to Carl’s pay per hour is 3:4 given that Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00. This can be obtained by dividing their hourly wages.

What is the required ratio?

Given that, Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00.

(Time taken for Mark to earn $6)=2×(Time taken for Carl to earn $4)

Time taken for Mark to earn $3 = Time taken for Carl to earn $4

This means that Mark takes the same amount of time to earn $3.00 as Carl earn $4.00.

Thus the ratio of Mark’s pay per hour to Carl’s pay per hour, 3/4 = 3:4

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If it takes Mark twice as long to make $6.00 than Carl making $4.00, this means Mark made $3.00 in the time it took Carl to make $4.00.
So the ratio is $3.00 to $4.00, or 3/4.

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?answers:
3x2 − 11x + 8 may or may not be a polynomial
3x2 − 11x + 8 will be a polynomial
3x2 − x + 4 may or may not be a polynomial
3x2 − x + 4 will be a polynomial

Answers

The correct answer is that 3x²-11x+8 will be a polynomial.

Explanation:
When we subtract polynomials, we combine like terms:
3x² is the only x² term we have.
We have -6x and subtract 5x from it; this gives us -11x.
We have 2 and subtract -6 from it; when we subtract a negative, we add the opposite, which means we have 2--6=2+6=8.

This gives us 3x²-11x+8. This is a polynomial, since it is made of monomials (none of the terms have a negative exponent or a radical sign).

Answer:

option (b) is correct.

we get a polynomial $3x^2-11x+8$

Step-by-step explanation:

Given : Polynomial 5x -6 and $3x^2-6x+2$ .

We have to choose out of given options which shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from $3x^2-6x+2$ .

We first subtract the polynomial

$\Rightarrow 3x^2-6x+2-(5x-6))$

$\Rightarrow 3x^2-6x+2-5x+6$

similar terms are terms having same variables with same degree.

Here, -6x and -5x are similar

and 2 and 6 are similar.

Adding similar terms, we get,

$\Rightarrow 3x^2-11x+8$

Polynomial is an algebraic expression that can involves variables with non negative integer terms and constants.

Thus, we get a polynomial $3x^2-11x+8$

Hence, option (b) is correct.

22. The sampling distribution of refers to: (a) the distribution of the various sample sizes which might be used in a given study (b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence (c) the distribution of the values of the items in the population (d) the distribution of the values of the items actually selected in a given sample (e) none of the above

Answers

Answer:

Option b

Step-by-step explanation:

As per central limit theorem, we know that if we draw a number of samples randomly from the population the sample mean for all the mean of samples will follow a normal distribution provided large samples are drawn.

The distribution which the sample mean follows is called the sampling distribution.

The distribution of various sample sizes will not follow any distribution. Hence I option wrong.

Distribution of values in the population are parameters and they do not follow any distribution. Option d , the values of the items selected will not follow any distribution

Only correct option is

(b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence

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