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3 years ago

Is AB perpendicular to CD? Explain.

Mathematics

2 answers:

pav-90 [236]3 years ago

7 0

Answer:

IF the values are same....................

guapka [62]3 years ago

4 0

Answer:

IF the values are same....................

Step-by-step explanation:

IF the values are same....................

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Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour

UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

$C(t) = C(0)e^{rt}$

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So $C(0) = 110$

Husband

Half life of 4 hours. So

$C(4) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{4r}$

$e^{4r} = 0.5$

Applying ln to both sides

$\ln{e^{4r}} = \ln{0.5}$

$4r = \ln{0.5}$

$r = \frac{\ln{0.5}}{4}$

$r = -0.1733$

So for the husband

$C(t) = 110e^{-0.1733t}$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.1733t}$

$C(11) = 110e^{-0.1733*11} = 16.35$

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

$C(10) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{10}$

$e^{10r} = 0.5$

Applying ln to both sides

$\ln{e^{10r}} = \ln{0.5}$

$10r = \ln{0.5}$

$r = \frac{\ln{0.5}}{10}$

$r = -0.0693$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.0693t}$

$C(11) = 110e^{-0.0693*11} = 51.33$

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0

3 years ago

All rhombus have all sides that are equal in length but which one are rhombus or not. Need help on this.

Artyom0805 [142]

Answer:

I think that the first one is not a rhombus but the last two are.

7 0

3 years ago

What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1? (–3, –33) (–3, 3) (3, –24) (3, 21)

Arte-miy333 [17]

ANSWER

(-3,3)

EXPLANATION

The given function is

$y + 2x + 3 = - (x + 2) ^{2} + 1$

Expand

$y + 2x + 3 = - x ^{2} - 4x - 4 + 1$

Rewrite in the form:

$y =a {x}^{2} + bx + c$

This implies that,

$y = - x ^{2} - 4x - 2 x - 4 + 1 - 3$

$y = - {x}^{2} - 6x - 6$

Complete the square to get,

$y = - ( {x}^{2} + 6x) - 6$

$y = - ( {x}^{2} + 6x + {(3)}^{2} ) - - {(3)}^{2} - 6$

$y = - {(x + 3)}^{2} +9 - 6$

$y = - {(x + 3)}^{2} +3$

The function is now in the form:

$y = a {(x - h)}^{2} +k$

where (h,k) =(-3,3) is the vertex

8 0

3 years ago

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HELP ASAP!!! Characterize the slope of the line in the graph. A. Zero B. Undefined C. Positive D. Negative

Alexxandr [17]

Answer:

Undefined

Explanation:

When a line is vertical like that, the slope is undefined. If it was horizontal, then it would be zero. Positive slopes go in an upward right direction. Negative slopes go in a downward left direction.

5 0

2 years ago

Samanth drew this pictogram

Elena-2011 [213]

Answer:

la verdad noce no me acuerdo

4 0

2 years ago

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