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3 years ago

Please helllllllppppppppp

Mathematics

1 answer:

Harman [31]3 years ago

4 0

(i) 2^6

(ii) 3^5

(iii) -1^14

(iv) 0.3^4

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Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g ove

creativ13 [48]

Answer:

The least common denominator of the expression is 72g.

Step-by-step explanation:

First, let us write the expression out mathematically

$\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}$

The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Multiples of 24 = 24, 48, 72, 96, ...

The least common multiple of 9 and 24 is 72.

Then, the least common multiple of 72 and g is 72g

Hence, the least common denominator of the expression is 72g.

7 0

3 years ago

[-1 + (-4)] + (6/7 + 1/7)

Radda [10]

Answer:-4

Step-by-step explanation:

-1 +-4 is -5 and 6/7 + 1/7 =1 so -5 +1=-4

4 0

3 years ago

The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th

Rufina [12.5K]

Answer:

$c = 1190.2$

Step-by-step explanation:

We have the following solution:

$y(x) = ce^{-2x} + e^{-x}$

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

$y(x) = ce^{-2x} + e^{-x}$

$y(3) = ce^{-2*3} + e^{-3}$

$3 = ce^{-6} + e^{-3}$

$3 = ce^{-6} + 0.0498$

$ce^{-6} = 2.9502$

$c = \frac{2.9502}{e^{-6}}$

$c = 1190.2$

4 0

3 years ago

Question 4

inessss [21]

Answer:

Plot for Variable C Only

Step-by-step explanation:

Trust me, unless your teacher switched the order of the charts in which case it's the linear one!

3 0

3 years ago

How many liters of gasoline to fill 13.2 gallon tank?

densk [106]

1. Find how many liters of gasoline to fill 13.2 gallon tank.
based on the metric conversion, there are 3.79 liters of liquid in every 1 liquid gallon.
Now, since we have 13.2 gallon tank, we need to multiply it with the given unit of conversion
=> 1 gallon = 3.79 liters
=> 13.2 gallon x 3.79 liters
=> 13.2 x 3.79
=> 50.028, therefore it needs around 50.028 liters of gasoline to be able to fill the 13.2 gallon tank

5 0

3 years ago