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arlik [135]
2 years ago
14

(-12a^3b^5)/(4a^2b^7)

Mathematics
1 answer:
Serggg [28]2 years ago
5 0

Answer:

a\neq 0 \text{ and } b\neq 0

Step-by-step explanation:

So we have the rational expression:

\frac{-12a^3b^5}{4a^2b^7}

In rational expressions, the restrictions of the expression would be the zeros of the denominator Therefore, set the denominator equal to zero and solve for its zeros:

4a^2b^7=0

Zero Product Property:

4a^2=0\text{ or } b^7=0\\

Solve for a and b:

4a^2=0 \text{ or } b^7=0\\a\neq 0 \text{ or }b\neq 0

Therefore, the restrictions on the variables are that a and b cannot equal zero.

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Al mediodía en una ciudad se registra una temperatura de 13°C bajo
Dahasolnce [82]

Answer

:La temperatura al final del día es de -57 grados centígrados.

espero que esto ayude

por cierto, espero que tengas un día increíble

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.55. It is also known that P(A1 ∩ A2) = 0. Suppose P(
k0ka [10]

We're given the following probabilities:

P(A_1)=0.30

P(A_2)=0.55

P(A_1\cap A_2)=0

P(B\mid A_1)=0.20

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(a) Yes, A_1 and A_2 are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06

P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275

(c) By the law of total probability,

P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875

(d) Bayes' theorem says

P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686

P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314

3 0
3 years ago
A hot air balloon holds 3,249 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilogr
professor190 [17]
We find the answer by using the density formula: d  =m/v
We know the density: 0.1785
We know the volume: 3,249
We DO NOT know the mass, so that is what we're trying to finding
0.1785 = m/3,249
Solve:
3,249 * 0.1785 = m/3,249 * 3,249
579.9465 which can be rounded to 579.9
The answer is D. 
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3 years ago
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A bank offers a money market account paying 8.7​% interest compounded annually. A competing bank offers a money market account p
stich3 [128]
The answer is 8.5% interest compounded daily.

EXPLANATION

Regardless of your rate, the more often interest is paid, the more beneficial the effects of compound interest.

A daily interest account, which has 360 compounding periods a year, in this case, will generate more money than an account with an annual compounding, which has one compounding period per year.
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3 years ago
How can this model be used to determine 2.4−0.15 ?<br><br> Enter your answers in the boxes.
Harlamova29_29 [7]
2.25! Just do 2.4- 0.15= 2.25, im sorry if its not what you wanted!
8 0
2 years ago
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