60,000 is ???? times greater than 60

Answers

Answer 1

Answer: the answer is 1000 times more. hope this helps.

Answer 2

Answer: 100 is the correct answer

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A parallelogram has a base of 16 inches and a height of 11.7 inches. What is the area of the parallelogram?

Answers

Answer:

A = 187.2 inches²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = base × height

substitute base = 16 inches and height = 11.7 inches into the formula for A

A = 16 × 11.7 = 187.2 inches²

Solve 64x^3 +1 =0the back of the texts books gives me the answers -1/4 and 1 plus or minus i√3 all over 8
I understand where the -1/4 comes from . I just don't understand the second answer. I know they used the quadratic formula to get it but I always end up with something to totally different

Answers

Expand the expression using the formula:
$a^3+b^3=(a+b)(a^2 - ab + b^2)$

$64x^3+1=0 \n(4x)^3+1^3=0 \n(4x+1)((4x)^2- 4x * 1+1^2)=0 \n(4x+1)(16x^2-4x+1)=0 \n4x+1=0 \ \lor \ 16x^2-4x+1=0$

The first equation:
$4x+1=0 \n 4x=-1 \n x=-(1)/(4)$

The second equation:
$16x^2-4x+1=0 \n \na=16 \n b=-4 \n c=1 \n b^2-4ac=(-4)^2-4 * 16 * 1=16-64=-48 \n√(b^2-4ac)=√(-48)=√(48) * √(-1)=√(16 * 3) * √(-1)=\pm 4√(3) i \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-4) \pm 4√(3)i)/(2 * 16)=(4 \pm 4√(3)i)/(32)=(4(1 \pm √(3)i))/(4 * 8)=(1 \pm √(3)i)/(8) \nx=(1-√(3)i)/(8) \ \lor \ x=(1+√(3)i)/(8)$

The final answer:
$\boxed{x=-(1)/(4) \hbox{ or } x=(1-√(3)i)/(8) \hbox{ or } x=(1+√(3)i)/(8)}$

What multiplies to make 12 and adds up to 16

Answers

To solve Q.15, remember to multiply the first numerical coefficient, in this case 3 to -12, to find the numbers to multiply and get that product. The middle term represents the sum the same two numbers must add to.

For example:

3r^2 - 16r - 7 = 5
3r^2 - 16r - 12 = 0

What 2 numbers multiply to give you -36, and add to give you -16, are -18 and +2, since -18 • 2 = -36, and -18 + 2 = -16.

3r^2 - 18r + 2r - 12 = 0
Factor
3r(r - 6) + 2(r - 6) = 0
(3r + 2)(r - 6) = 0
r = 6

3r + 2 = 0
3r = -2
r = -2/3.

Your 2 solutions for r are -2/3 and 6.

Evaluate the expressions when a = 10, b = -2, and c = -5: (a) a * b (b) 10 * b² (c) -a * b² + (-c) (d) (a * c + a) / b

Answers

(a) ab
(10)(-2)
-20

(b) 10bsquared
10(-2)squared
10(4)
40

(c) -absquared
-(10)(-2)squared
-10(4)
-40

(d) ((10)(-5)+(10))/(-2)
(-50+10)/-2
(-40)/-2
20

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