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mel-nik [20]
2 years ago
12

Scientists believe that there is an extremely massive black hole at the center of the Milky Way. How many times more massive tha

n the Sun would a black hole with a mass of 7.36 x 10^36 kg be? The mass of the Sun is approximately 1.99 x 10^30 kg.
A. 3.7 x 10^8
B. 3.7 x 10^6
C. 3.7 x 10^4
D. 3.7 x 10^3
Mathematics
1 answer:
xenn [34]2 years ago
5 0
I got B 
Hope this helps :D
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Find the sum of the first 12 terms of the sequence 512, 256, 128, … This is infinite series notation, the answer is NOT 896...
postnew [5]

Answer:

1023.75

Step-by-step explanation:

The sum of a geometric sequence is

sum = a( 1 - r^n) / (1-r)

where a is the first term  r is the common ratio and  r^n is the nth term

We need to find the common ratio

r = 256/512 = 1/2

sum = 512 ( 1 - 1/2^12) / ( 1-1/2)

       =512( 1-.000244141) / (.5)

       =512(.999755859) /.5

     =1023.75

7 0
3 years ago
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Let p, q, and r represent the following statements"
Nitella [24]

In logic, own symbols are used in order to be able to represent the relations between propositions in a general and independent way to the proposition, in order to be able to find the relationship process that operates in the communicated message, the propositional logic.

For this purpose there are, among others, the following logical operators: conjunction (and) ∧, disjunction (or) ∨, denial (not) ¬,  conditional (if - then) ⇒ and double conditional (if and only if, iff) ⇔.

So for this case we have:

Answer

a) Sam had pizza last night if and only if Chris finished her homework.

p⇔q

b) Pat watched the news this morning iff Sam did not have pizza last night.

r⇔¬p

c) Pat watched the news this morning if and only if Chris finished her homework and Sam did not have pizza last night.

r⇔(q∧¬p)

d) In order for Pat to watch the news this morning, it is necessary and sufficient that Sam had pizza last night and Chris finished her homework.

r⇔(p∧q)

e) <em>q ⇔ r</em>

Chris finished his homework if and only if Pat watched the news this morning

f) <em>p ⇔ (q ∧ r)</em>

Sam had pizza last night if and only if Chris finished his homework and Pat watched the news this morning

g) <em>(¬p) ⇔ (q ∨ r) </em>

Sam didn't have pizza last night if and only if Chris finished his homework or Pat watched the news this morning

h) <em>r ⇔ (p ∨ q) </em>

Pat watched the news this morning if Sam had pizza last night or Chris finished his homework

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3 years ago
What is the equation of the line that passes through the point (-5, 7)<br> and has a slope of –1/5?
Snowcat [4.5K]
The equation is y = -1/5x + 6
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3 years ago
need answers to this asap. I am a multiple of 70. I'm between 300 and 500. I'm 20 more than a 100. who am I
Jlenok [28]
Im not 100% sure but I would say 420
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astraxan [27]

Answer:

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