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Margarita [4]
2 years ago
8

Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:

Mathematics
1 answer:
Usimov [2.4K]2 years ago
6 0

Answer:

46

Step-by-step explanation:

1 sum  42+4

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What's 17 out of 20 as a decimal
maw [93]
Let's convert this fraction to an equal fraction which holds a denominator of 100, since it is a power of 10. 

Since the denominator can be multiplied by 5 to achieve 100, we can multiply the entire fraction by 5 to create an equivalent fraction that has a denominator of 100:
17/20 = (17*5)/(20*5) = 85/100

To obtain a decimal from this fraction, take the numerator and move its decimal one place to the left for every 0 in the denominator. Since our denominator has two zeros, we will need to move the decimal place on the 85 two places to the left.

This gives us an answer of .85, which can also be expressed as 0.85.
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The as x approaches 0 of tan^2x/x
uysha [10]

L=Lim tan(x)^2/x x->0

Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.

d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)

d(x)/dx = 1

=>

L=2tan(x)sec^2(x)/1 x->0

= (2(0)/1^2)/1

=0/1

=0


Another way using series,

We know that tan(x) = x+x^3/3+2x^5/15+.....

then tan^2(x), using binomial expansion gives

x^2+2*x^4/3+.... (we only need two terms)

and again apply l'Hôpital's rule, we have

L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1

=0 as x->0

3 0
3 years ago
Hey cutie I need the answer ASAP
Vesnalui [34]

Answer:

32

Step-by-step explanation:

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3 years ago
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4 0
3 years ago
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Which is equivalent to 3x/x+5 - x-5/x
oee [108]

Answer:

B. \frac{2x^2+25}{x(x+5)}

Step-by-step explanation:

x(\frac{3x}{x+5})-(x+5)(\frac{x-5}{x})

= \frac{3x^2}{x(x+5)} - \frac{(x-5)(x+5)}{x(x+5)} = \frac{3x^2-(x-5)(x+5)}{x(x+5)}

= \frac{3x^2-(x^2-25)}{x(x+5)}

= \frac{2x^2+25}{x(x+5)}

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