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2 years ago

14

To convert 10 minutes to seconds, you would use the ratio. 1 seconds/ 60 mins

2 answers:

zzz [600]2 years ago

8 0

Answer:

B. False

Step-by-step explanation:

1 minute/60 seconds

Therefore, the answer is B. False.

Hope this will helpful.

Thank you.

Zarrin [17]2 years ago

3 0

It's false, because the ratio is 60 sec/ 1 min

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Intersection point of Y=logx and y=1/2log(x+1)

GalinKa [24]

Answer:

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

The Problem:

What is the intersection point of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ ?

Step-by-step explanation:

To find the intersection of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ , we will need to find when they have a common point; when their $x$ and $y$ are the same.

Let's start with setting the $y$ 's equal to find those $x$ 's for which the $y$ 's are the same.

$\log(x)=\frac{1}{2}\log(x+1)$

By power rule:

$\log(x)=\log((x+1)^\frac{1}{2})$

Since $\log(u)=\log(v)$ implies $u=v$ :

$x=(x+1)^\frac{1}{2}$

Squaring both sides to get rid of the fraction exponent:

$x^2=x+1$

This is a quadratic equation.

Subtract $(x+1)$ on both sides:

$x^2-(x+1)=0$

$x^2-x-1=0$

Comparing this to $ax^2+bx+c=0$ we see the following:

$a=1$

$b=-1$

$c=-1$

Let's plug them into the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$x=\frac{1 \pm \sqrt{1+4}}{2}$

$x=\frac{1 \pm \sqrt{5}}{2}$

So we have the solutions to the quadratic equation are:

$x=\frac{1+\sqrt{5}}{2}$ or $x=\frac{1-\sqrt{5}}{2}$ .

The second solution definitely gives at least one of the logarithm equation problems.

Example: $\log(x)$ has problems when $x \le 0$ and so the second solution is a problem.

So the $x$ where the equations intersect is at $x=\frac{1+\sqrt{5}}{2}$ .

Let's find the $y$ -coordinate.

You may use either equation.

I choose $y=\log(x)$ .

$y=\log(\frac{1+\sqrt{5}}{2})$

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

6 0

3 years ago

Select the correct answer.

ki77a [65]

Answer:

d 68

Step-by-step explanation:

do not know hope it maybe might help you sorry wish i could help

7 0

3 years ago

Help plz 20 pts TOTAL 10 pts each

motikmotik

Answer:

This question needs a step to step long explanation.

5 0

3 years ago

Which expression is equivalent to (2^5)^-2

irinina [24]

<u><em>1/1024 is the correct answer.</em></u> First you had to apply exponent rule, and it gave us, $\frac{1}{(2^5)^2}$ , or $2^5^*^2$ . Then you can also refine, and it gave us, $2^10$ , or $\frac{1}{2^10}$ . And it gave us the answer is $2^1^0=2*2*2*2*2*2*2*2*2*2=1024$ , or 1/1024 is the correct answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

4 0

3 years ago

Which shows the expression below in simplified form? (3.7 × 1013) + (4.5 × 1012) 4.15 × 1013 8.2 × 1013 3.745 × 1012 8.2 × 1012

frosja888 [35]

What is your first expression? because i can not answer without the first expression.

8 0

3 years ago