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professor190 [17]
3 years ago
5

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 3kg

weighs 27N. Find the weight of an object whose mass is 2kg

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Answer:

18N

Step-by-step explanation:

Weight = mass x gravity

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Could someone help me understand how to solve this?
monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula I=P\cdot r\cdot t, where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

P_1=x\\ \\r_1=0.04\\ \\t_1=1,

then

I_1=x\cdot 0.04\cdot 1=0.04x

<u>5% account:</u>

P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,

then

I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)

You have earned $69.50 in total, so

I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950

Amount in 4% account: $550

Amount in 5% account: $950

8 0
3 years ago
Find the negation of the proposition
murzikaleks [220]

In accordance with <em>propositional</em> logic, <em>quantifier</em> theory and definitions of <em>simple</em> and <em>composite</em> propositions, the negation of a implication has the following equivalence:

\neg (\exists \,x\, (P(x) \implies  Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x)) (Correct choice: iii)

<h3>How to find the equivalent form of a proposition</h3>

Herein we have a <em>composite</em> proposition, that is, the union of <em>monary</em> and <em>binary</em> operators and <em>simple</em> propositions. According to <em>propositional</em> logic and <em>quantifier</em> theory, the negation of an implication is equivalent to:

\neg (\exists \,x\, (P(x) \implies  Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))

To learn more on propositions: brainly.com/question/14789062

#SPJ1

8 0
1 year ago
Help!!! (Tell me if you can’t see it clearly)
meriva
I believe it’s option c!
3 0
2 years ago
180 students in a tenth grade high school class take a survey about which video game consoles they own.
Fantom [35]

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

5 0
2 years ago
Grade 5 math. ! 30 points !
irinina [24]

Answer:

june 10

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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