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3 years ago

5

Europe has about 730 million people. This is about 207

1 answer:

Vaselesa [24]3 years ago

4 0

Answer:

730 - 207 = n

Step-by-step explanation:

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1/3(33x +15) - 1/3 ( 21x +18) =10

inn [45]

      ¹/₃(33x + 15) - ¹/₃(21x + 18) = 10
¹/₃(33x) + ¹/₃(15) - ¹/₃(21x) - ¹/₃(18) = 10
   11x + 5 - 7x - 6 = 10
   11x - 7x + 5 - 6 = 10
      4x - 1 = 10
      + 1   + 1
   4x = 11
      4 4
   x = 3³/₄

7 0

3 years ago

The volume of a rectangular prism, in cubic meters, is given by the expression x to the 3rd power

nydimaria [60]

Answer:

power of 3

Step-by-step explanation:

that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000

5 0

2 years ago

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

The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what

Papessa [141]

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

$\text{Combined number of cellists and violinists}=7x+3x$

$\text{Combined number of cellists and violinists}=10x$ ...(i)

Number of violinists in the school orchestra = 21

$7x=21$

Divide both sides by 7.

$x=3$

Now, the combined number of cellists and violinists is

$\text{Combined number of cellists and violinists}=10(3)$ [Using (i)]

$\text{Combined number of cellists and violinists}=30$

Therefore, the combined number of cellists and violinists is 30.

5 0

3 years ago

4) Look at the underlined digits in the next number. Use the drop-down menus to compare the digit values. 24,480 4) Click on the

Sergio039 [100]

Answer:

Step-by-step explanation:

The value of the 4 in the thousand place is 10 times the value of the 4 in the hundreds place

7 0

3 years ago