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3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Mathematics

1 answer:

RSB [31]3 years ago

3 0

Answer:

7/8

Step-by-step explanation:

To find: number which represents the expression

Solution:

Integers refers to natural numbers, 0 together with negative of rational numbers.

A rational number is the number of the form where p and q are integers and .

So, represents

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If a new data point at 12 is added to the graph, which will be true?

love history [14]

Answer:

the answer is C on edge

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3 years ago

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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.

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4 years ago

Emma collected 72 apples from the orchard and put an equal number of apples into 6 baskets. Mrs. Doolan wants 3 baskets of apple

stira [4]

Answer:

36 apples

Step-by-step explanation:

First, divide 72 by 6 to find out how many apples are in 1 basket.(Answer 12)

There will be 12 apples in one basket.

Mrs. Doolan wants 3 baskets so multiply 12 by 3 to get 36.

72/6= 12

12X3=<u>36</u>

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3 years ago

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Simplify quantity 10 x squared minus 32 end quantity over 4 quantity 5 x squared minus 32 end quantity over 2, quantity 5 x squa

irina1246 [14]

Answer:

Option B.

Step-by-step explanation:

The given expression is

$\dfrac{10x^2-32}{4}$

We need to find the simplified form of given expression.

Taking out GCF from the numerator.

$\dfrac{2(5x^2-16)}{4}$

Cancel out common factors.

$\dfrac{5x^2-16}{2}$

The expression $\dfrac{5x^2-16}{2}$ is the simplified form of given expression.

Therefore, the correct option is B.

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3 years ago

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AnnyKZ [126]

Answer:

The second line (the flat one with an angle)

Step-by-step explanation:

Functions are linear when put on a graph.

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3 years ago