What is the greatest common factor osb42 and 63?

Answers

Answer 1

Answer:

Answer:

We found the factors and prime factorization of 42 and 63. The biggest common factor number is the GCF number. So the greatest common factor 42 and 63 is 21.

Step-by-step explanation:

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Who'd be better at speed answering? Datguy323 or some Helping Hand? (Not a serious question) Solve for the variables: $x^3+y^7=28\nx^3=27$

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

The equations are:

$x^3+y^7 = 28$

and

$x^3 = 27$

Putting second equation in the first one:

=> $27+y^7 = 28$

Subtracting 27 to both sides

=> $y^7 = 28-27$

=> $y^7 = 1$

Taking power 7 to both sides

=> y = 1

Now,

$x^3 = 27$

Taking cube root on the both sides

x = 3

Answer: (3,1)

Step-by-step explanation:

First, to find x, simply take the cube root of 27, or 3. Thus, x = 3.

Then, simply plug it in:

$27+y^7=28\nSubtract(27)\ny^7=1\ny=1$

Thus, y = 1

Hope it helps <3

p.s. for some reason, in a graphing calculator, it shows no solutions

Hope it helps <3

2 in a row!

Esteban bought a new stove for $986 on his credit card. He used the stove for eleven years before replacing it. The stove cost him an average of $0.14 per day in electricity. Esteban had preventive maintenance done on the stove, costing $24.25 each year for the eleven years. Esteban’s credit card has an APR of 9.26%, compounded monthly. He paid off his balance by making identical monthly payments for five years. Sales tax in Esteban’s area is 8.22%. Assuming that Esteban made no other purchases or payments with his credit card, what was the lifetime total cost of the stove? (Assume that two of the years Esteban had the stove were leap years, and round all dollar values to the nearest cent.) a. $2,534.57 b. $2,166.53 c. $2,234.23 d. $2,064.53

Answers

5 years repayment 11 years maintenance and electricity cost of $24.25

and $0.14, makes the total lifetime cost of the stove b. $2,166.53.

How can the total cost of the stove be calculated?

The cost of the stove = $986

Daily electricity cost = $0.14

Maintenance cost per year = $24.25

Annual Percentage Rate, APR, on the credit card = 9.26%

Number of years the balance was paid off = 5 years using identical monthly payments

Sales tax = 8.22%

Required:

Lifetime total cost of the stove

Solution:

$Monthly \ payment, \ M = \mathbf{(P \cdot \left((r)/(12) \right) \cdot \left(1+(r)/(12) \right)^n )/(\left(1+(r)/(12) \right)^n - 1)}$

Where;

r = 0.0926

n = 12 × 5 = 60

P = 1.0822 × $986 = $1,067.0492

Which gives;

$Monthly \ payment, \ M = \mathbf{(1,067.0492 * \left((0.0926)/(12) \right) \cdot \left(1+(0.0926)/(12) \right)^(60) )/(\left(1+(0.0926)/(12) \right)^(60) - 1)} \approx 22.29$

Payment for the purchase ≈ 60 × $22.29 = $1337.4

Amount paid as electricity bill = $0.14 × 365 + 2 × $0.14 = $562.38

The maintenance cost = 11 × $24.25 = $266.75

Which gives;

Total stove cost ≈ $1,337.4 + $562.38 + $266.75 = $2,166.53

The selection that gives the total cost is the is the option;

b. $2,166.53

Learn more about payment for a loan here:

brainly.com/question/1393296

Answer:

2166.53

Step-by-step explanation:

Price x 1.0822 = 1067.0492 <Price with tax

P= PV x i / 1- (1+i)^-n

^ x (identical monthly payments for 5 years aka 12 x 5)

average cost for electricity x (365 x years aka 11)

cost for maintenance x 11

Add all 3 answers

=2166.53

At what x-values do the graphs of the functions y = cos 2x and y =3cos^2x-sin^2x intersect over the interval -pi

Answers

To find:

The x-values at the intersection of the graphs of two functions.

Solution:

Two functions are:

$y=\cos2x\text{ and }y=3\cos^2x-\sin^2x$

The functions are equal at the intersection. So,

$\cos2x=3\cos^2x-\sin^2x$

The solutions of the above equation are the x-values of the intersection.

$\begin{gathered} \cos2x=3\cos^2x-\sin^2x \n \cos^2x-\sin^2x=3\cos^2x-\sin^2x \n 2\cos^2x=0 \n \cos^2x=0 \n \cos x=0 \end{gathered}$

The solution to the above equation is:

$x=(\pi)/(2)+2\pi n\text{ and }x=(3\pi)/(2)+2\pi n$

It is given that x lies between -pi and pi. So, the value of n = 0 for the first solution and n = 1 for the second solution. Therefore,

$x=(\pi)/(2)\text{ and }x=-(\pi)/(2)$

Thus, options A and B are correct.

2. What is the value of 6x – 3y if x = 5 and y = 1F.11.
G.33
H.6 with an exponent of 5
I.65

Answers

Step-by-step explanation:

x=5,y=-1

6(5)-3(-1)=30+3=33

answer G .33

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price. What was the cost for 111 comic books?

Answers

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

A formal power series over R is a formal infinite sum f = X[infinity] n=0 anxn, where the coefficients an ∈ R. We add power series term-by-term, and two power series are the same if all their coefficients are the same. (We don’t plug numbers in for x, because we don’t want to worry about issues with convergence of the sum.) There is a vector space V whose elements are the formal power series over R. There is a derivative operator D ∈ L(V ) defined by taking the derivative term-by-term: D X[infinity] n=0 anxn ! = X[infinity] n=0 (n + 1)an+1xn What are the eigenvalues of D? For each eigenvalue λ, give a basis of the eigenspace E(D, λ). (Hint: construct eigenvectors by solving the equation Df = λf term-by-term.)

Answers

Answer:

Check the explanation

Step-by-step explanation:

where the letter D is the diagonal matrix with diagonal entries λ1,…,λn. Now let's assume V is invertible, that is, this particular given eigenvectors are linearly independent, you get M=VDV−1.

Kindly check the attached image below to see the step by step explanation to the question above.

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What is the greatest common factor osb42 and 63?​

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How can the total cost of the stove be calculated?

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What is the greatest common factor osb42 and 63?