Which equation represents a line which is parallel to the line y=8/7x-6?

The graph shows two lines, A and B. Based on the graph, which statement is correct about the solution to the system of equations

kvasek [131]

Answer:

gerg

Step-by-step explanation:

6 0

3 years ago

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A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. The doctor wants to kno

I am Lyosha [343]

Answer:

This is an example of exponential decay (somewhat similar to half-life).

If it decays at 11% per hour we can calculate its half-life by this formula:

half life = [ time • ln (2) ] ÷ ln (beginning amount ÷ ending amount)

where "ln" means natural log

half life =[ 1 hour * .69315] / ln (100 / 89)

half life =[.69315] / ln (1.1235955056)

half life =[.69315] / 0.11653381624

half life = 5.9481 hours

We need "lambda" "λ" (the decay constant) which equals

λ = ln(2) / half-life = .693147 / 5.9481 = 0.1165325062

Now we need a formula for the time required:

time = ln (Nt ÷ N0) ÷ -λ where No = beginning amount (100 milligrams) Nt = ending amount (15 milligrams)

time = ln (15 ÷ 100) ÷ -0.1165325062

time = ln (.15) / -0.1165325062

time = -1.8971199849 / -0.1165325062

time = 16.2797492885 hours

Source: https://www.1728.org/halflif2.htm

Step-by-step explanation:

4 0

3 years ago

Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are rec

Semenov [28]

Answer:

When the slopes of lines a and b are multiplied, the product is −1.

Line a and line b intersect to form four right angles.

Step-by-step explanation:

Given

Perpendicular lines a and b

Required

Select the true statements

Represent the slope of line a with $m_1$ and the slope of b with $m_2$ .

The condition for perpendicularity is:

$m_1 * m_2 = -1$

Solving further:

$m_1 = -\frac{1}{m_2}$

To solve further, we need to analyze each of the given options

(a) This is not true because the slope of perpendicular lines are not reciprocal

(b) This is also not true because perpendicular lines do not necessarily have to intersect at their midpoints

(c) This is true because of the condition stated above: $m_1 * m_2 = -1$

(d) This is also true because perpendicular lines form right angles when they intersect

(e) This is not true because of the condition stated above: $m_1 = -\frac{1}{m_2}$

(f) This is not true because of the condition stated above: $m_1 = -\frac{1}{m_2}$

5 0

3 years ago

1. 2X + 1 = Y<br> 2Y = 6<br> Show your work

slamgirl [31]

Answer:

x = 1

y = 3

Step-by-step explanation:

2x + 1 = y ------- eqn (1)

2y = 6--------eqn (2)

from eqn(2)

2y = 6

y = 3

when you divide 6 by 2y

substitute y = 3 into eqn (1)

2x + 1 = y

2x + 1 = 3

2x = 3-1

2x = 2

therefore

x = 1

4 0

3 years ago

Brandon and his son went fishing. Brandon caught 3 3/4 kg of fish while his son caught 2 1/5 kg of fish. What is the total weigh

gavmur [86]

Answer:

5 19/20

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

5 0

3 years ago

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