Y - y₁ = m(x - x₁)
y - ¹/₆ = ³/₅(x - 0)
y - ¹/₆ = ³/₅(x) - ³/₅(0)
y - ¹/₆ = ³/₅x - 0
<u> + ¹/₆ + ¹/₆
</u> y = <u><em /></u><em />³/₅x + ¹/₆
y = ³/₅(0) + ¹/₆
y = 0 + ¹/₆
y = ¹/₆
Answer:
log₇t = ln t / ln 7
Step-by-step explanation:
Given:
log₇t
Computation:
We know that
logₐb = log b / log a
So,
log₇t = log t / log 7
= log₇t = ln t / ln 7
Answer:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
Answer:
Jon did determine the probability correctly.
Step-by-step explanation:
<em>In Jon's closet, there are a total of 24 clothes. Among those pieces of clothing, there are a total of 9 out of 24 clothes that are black. There are also 11 shirts out of 24 clothes. </em>
<em />
<em>When a probability has OR in it, it means to add.</em>
<em />
<em>11/24 plus 9/24 gives you 20/24.</em>
<em />
<em>Therefore, Jon is correct.</em>
<em />
Should be 1/4 to my knowledge.
