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3 years ago

GCF of 12z3, 45z2, and 18z5.

Mathematics

1 answer:

bija089 [108]3 years ago

4 0

Answer:

3z^2

Step-by-step explanation:

Factors of the different terms are ...

12z^3 = 2·2·3·z·z·z

45z^2 = 3·3·5·z·z

18z^5 = 2·3·3·z·z·z·z·z

The common factors are 3 and z·z.

The greatest common factor is 3z^2.

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There are 7 books on the floor. The number of books on the shelf is 2 more than 3 times a number of books on the floor. How many

Radda [10]

If there are 7 books on the floor, 7 x 3 is 21. Plus two extra books, 21 + 2 = 23. There are 23 books on the bookshelf.

8 0

3 years ago

Find the center of the circle whose equation is x² + y² = 4.

Varvara68 [4.7K]

Answer:

The center of circle is $(0,0)$

Step-by-step explanation:

We need to find the center of the circle of the equation $x^{2}+y^{2}=4$

Since, the general equation of circle is $(x-h)^{2}+(y-k)^{2} = r^{2}$

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is $x^{2}+y^{2}=4$ as,

$x^{2}+y^{2}=2^{2}$

Compare $x^{2}+y^{2}=2^{2}$ with $(x-h)^{2}+(y-k)^{2} = r^{2}$

so, $(x-0)^{2}+(y-0)^{2} = 2^{2}$

Hence, the center of circle is $(0,0)$

4 0

3 years ago

Read 2 more answers

At the 2012summer olimpics in london

aivan3 [116]

Answer:

what happened?

Step-by-step explanation:

6 0

2 years ago

How does it factor out as that?

eimsori [14]

To factor out you have to think what multiples to AC and adds to B.

Ax^2+Bx+C

So... for this problem AxC=1x-24 or -24

B is -2.

So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.

Out of these, which adds to -2: -6+4=-2.

So the factors are (d-6)(d+4)

OR the longer way, which you really only use if A is not equal to 1.

Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24

Group the terms by using addition: (d^2+4d)+(6d-24)

Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.

For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)

If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.

The two terms outside the parenthesis: d, -6 group together and become (d-6)

The inside terms stay the same: (d+4)

(d-6)(d+4)

Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.

6 0

3 years ago

Find the final amount. $4000 invested at 11% APR compounded quarterly for 5 years The final amount is $ nothing. (Do not rou

Angelina_Jolie [31]

<h3>The final amount is $ 6881.71</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1 + \frac{r}{n})^{nt}$

Where,

A = the future value of the investment

P = the principal investment amount\

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 4000

t = 5

$r = 11 \% = \frac{11}{100} = 0.11$

n = 4 ( compounded quarterly )

Substituting the values in formula,

$A = 4000(1 + \frac{0.11}{4})^{4 \times 5}\\\\ A = 4000( 1.0275)^{20}\\\\A = 4000 \times 1.720428\\\\A = 6881.7137 \approx 6881.71$

Thus the final amount is $ 6881.71

5 0

3 years ago