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3 years ago

Multiple Choice:

1 answer:

8 0

Dv/dt = $\frac{t* \frac{1}{t}-1*lnt }{ t^{2} } = \\ = \frac{1-+lnt}{t^{2} }$
Velocity attains its maximum at dv/dt = 0, or:
1 - ln t = 0
ln t = 1
$log_{e}t= 1$
t = e
Answer: C)

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X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

3 years ago

What is 3÷1/4 please tell me

Lady bird [3.3K]

The answer to your question
is 12

7 0

4 years ago

Read 2 more answers

7 pens and 2 pencils cost 22

Romashka [77]

Pen : $3

Pencil : $0.50

4 0

3 years ago

Which of the following could be a rational number?

Flura [38]

Answer:

the sum of two irrational numbers

Step-by-step explanation:

5 0

3 years ago

A consumer survey conducted in two consecutive years determined that a fixed baskets of goods and services cost $95.00 in year 1

Gnesinka [82]

Answer:

1.315%

Step-by-step explanation:

Given:

Prices:

Year 1 =old price =$95

Year 2 = new price = $96.25

The inflation rate is the difference in price between two Given period :

Inflation rate :

(Change in price / old price) * 100%

((New price - old price) / old price) * 100%

((96.25 - 95) / 96) * 100%

= (1.25 / 95) * 100%

= 0.0131578 * 100%

= 1.315%

3 0

3 years ago