Which expression is equivalent to the given expression? (3m-4)^3(3m^5)

Answer:

The correct answer will be "0.400 gm".

Step-by-step explanation:

The give values are:

Needs of hospital, N = 0.100 gm

Time, t = 10 days

Minimum amount of Xenon, N₀ = ?

As we know,

⇒  [tex]N(t)=N_{0} \ e^{-\lambda t}[/tex]

∴  Decay constant, λ = [tex]\frac{ln2}{t_{1/2}}[/tex]

                                λ = [tex]\frac{ln2}{5}[/tex]

On putting values, we get

⇒  [tex]0.100=N_{0} \ e^{-\frac{ln2}{5}}\times 10[/tex]

⇒  [tex]0.1=N_{0} \ e^{-2ln2} = N_{0} \ e^{-ln4}[/tex]

⇒  [tex]0.1=N_{0} \ e^{ln\frac{1}{4}}[/tex]

⇒  [tex]0.1=\frac{N_{0}}{4}[/tex]

⇒  [tex]N_{0}=0.1\times 4[/tex]

⇒  [tex]MX_{e}=0.400 \ gm[/tex]

Answer:

The geometric mean growth rate of sales is 1.4422.

Step-by-step explanation:

We have two sales values, one from 6 years ago and the other from now.

We have to calculate the geometric growth rate of sales.

We have:

[tex]y(-6)=1,000,000\\\\y(0)=9,000,000[/tex]

We can write the relation between these two values as:

[tex]y(0)=y(-6)k^{0-(-6)}\\\\9,000,000=1,000,000k^6\\\\k^6=9\\\\k=9^{1/6}= 1.4422[/tex]

The geometric mean growth rate of sales is 1.4422.

Answer:

53.57%

Step-by-step explanation:

We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :

# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)

 = 10 * 3 = 30

That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.

# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56

That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:

P (3 girls and 2 boys) = 30/56 = 0.5357

Which means that the probability is 53.57%

Answer:

Actually, the correct answer for plato users is option D

Step-by-step explanation:

D.  0.821

Answer:

the first one

Step-by-step explanation:

I just took it on edge.

Answer:

It is B just took the unit quiz

Step-by-step explanation:

Answer:

Circle

Step-by-step explanation:

r = 2 cos θ

Multiply both sides by r.

r² = 2r cos θ

Convert to rectangular.

x² + y² = 2x

x² − 2x + y² = 0

Complete the square.

x² − 2x + 1 + y² = 1

(x − 1)² + y² = 1

This is a circle with center (1, 0) and radius 1.

The given function r = 2 cos θ is a circle with a center (1, 0) and radius of 1.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given function is r = 2 cos θ

Now, Multiply both sides by r.

r² = 2r cos θ

Convert to rectangular form;

x² + y² = 2x

x² − 2x + y² = 0

Using Complete the square.

x² − 2x + 1 + y² = 1

(x − 1)² + y² = 1

Hence, This is a circle with a center (1, 0) and radius of 1.

Learn more about circle here;

brainly.com/question/12512221

#SPJ2

Answer:

320 x^6

Step-by-step explanation:

(5x^3)(4x)^3

5 x^3  * 4^3 * x*3

5x^3 *64x^3

320 x^6

Answer:

B

Step-by-step explanation:

= 5x^3  * 4^3 * x^3

= 5x^3 *64x^3

= 320x^6

Hope this helps!

Answer:

1000

Step-by-step explanation:

For rounding questions, you want to look at the place value to the right of the digit it wants you to round to. If that place value to the right of the digit you need to round is less than 5, you round down. If the place value to the right of the digit you need to round is 5 or greater, then you round up. In your situation, the place value you want to round is the hundreds place, so we need to look at the tens value. The tens value is 4, which is less than 5, so we round down. Therefore, the answer would be 1000.

Answer:

B

Step-by-step explanation:

Answer:

The Predictor variable is the amount of precipitation received while the Response variable is the crop harvest.

Step-by-step explanation:

The Response variable in an experiment is the factor being measured or studied. They are also known as the dependent variables. Predictor variables are those values that explain the changes in the Response variable. They are also known as the independent variables.

In the question above, the amount of precipitation provides an explanation for the harvest of his crops. Therefore, the amount of precipitation can be rightly described as the predictor or independent variable, while the harvest of his crops is described as the response or dependent variable.

Answer:

Step-by-step explanation:

1) first of all, let s check for n = 1

[tex]7^1 -1=7-1=6[/tex]

that s true

2) We assume that this is true for n

[tex]7^n-1[/tex] is divisible by 6

what about [tex]7^{n+1}-1[/tex] ?

we know that there is a k natural so that [tex]7^n-1=6k[/tex]

so [tex]7^n = 1+6k[/tex]

then [tex]7^{n+1} = 7*7^n = 7(1+6k)\\[/tex]

so [tex]7^{n+1}-1 = 7(1+6k)-1 = 6+7*6k = 6(1+7k)[/tex]

so it means that [tex]7^{n+1}-1[/tex] is divisible by 6

3) finally as this is true for n=1 and if this is true for n then it is true for n+1 we can conclude that [tex]7^n-1[/tex] is divisible by 6 for n positive integer

if percent of 1 year was 5%:

meaning time between accidents must be atleast 1 week

The mean waiting time that exists between the accidents would be:

- 1 week

'Mean waiting time' is determined through the contemplated value of an odd(random/casual) variable.

Given that,

Probability(P) of no accident taking place in 1 year = 5%

Assuming T be the accidents' number that takes place during a year,

Since 5% is the probability or chance of no accident to take place,

The mean waiting time between accidents = 1 week at least via Poisson process.

Thus, 1 week would be the correct answer.

Learn more about 'Mean' here:

brainly.com/question/521501

Answer: Choice C

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

3/10≠3/5*1/4

so event A and B are not independent.

Write z in exponential form:

[tex]z=1-i=\sqrt2 e^{-i\frac\pi4}[/tex]

Then taking the logarithm, we get

[tex]\mathrm{Ln}(z)=\ln(\sqrt2) + \ln e^{-i\frac\pi4} = \boxed{\ln(\sqrt2)-\dfrac\pi4i}[/tex]

so a is the correct answer.

Answer:

3+6i

Step-by-step explanation:

I did it

Answer:3+6i

Step-by-step explanation:

Answer:

[tex]g^{-1}(x)=\frac{x-1}{6}[/tex]

The answer is 1 7/20

2/5 x 4/4 + 7/10 x 2/2 + 1/4 x 5/5

=  8/20 + 14/20 + 5/20

= 27/20

= 1 7/20

Answer:

27/20 or 1 and 7/20

Step-by-step explanation:

All you do is find common factors.

Answer:

“It is a binomial with a degree of 3”

Step-by-step explanation:

Since it has just two different coefficients, it would be considered “binomial” for that reason. As you can notice, the highest degree is 3. So match those up and the correct answer would be the second choice “It is a binomial with a degree of 3”

Answer:

B

Step-by-step explanation:

Answer:

x + y = 6

Step-by-step explanation:

slope is rise/run so -6/6 = -1

y = -x+b

solve for b by plugging in any point

6 = 0 + b -> b = 6

y = -x+6

x + y = 6

The correct answer is C. Kelli put 6 red marbles and 5 blue marbles in a bag. The probability of selecting a red marble is 6 /11

Explanation:

Theoretical probability occurs as you calculate the probability of a specific outcome in a situation, without experimenting or observing it. Because of this, the probability is theoretical rather than experimental. Also, you can know this, if you divide the number of specific favorable outcomes by the total of possible outcomes.

Option C shows a theoretical probability because this is the only case the probability has not been observed or experimented. Also, expressing the probability as 6/11 is completely correct because 6 is the total of red marbles(possible desired outcomes), while 11 is the total marbles (possible outcomes).

Answer:

16x+36

Step-by-step explanation:

4(4x + 9)

16x+36

____________________________________

Solution,

4(4x+9)

=4*4x+4*9

=16x+36

So the answer is 16x+36

Hope it helps

Good luck on your assignment

___________________________________

Answer:

$71.59

Step-by-step explanation:

43.25+26.25

=69.5

69.5×103/100

=71.585

Answer:

the value of x is 3

Step-by-step explanation:

Hope this helps!!!! :)

Answer:

one is a

two is c

three is b

Step-by-step explanation:

Answer:

Part 1.

Juice = 8 L.

Lemonade = 32 L.

Part 2.

20 L punch Josie can make.

Part 3.

New ratio juice : lemonade = 2 : 9

Step-by-step explanation:

Part 1.

1+4 = 5 parts altogether, 1 parts for juice and 4 parts for lemonade.

40 : 5 = 8 L is 1 part.

Juice - 1 part - 8 L.

Lemonade - 4 parts - 4*8 = 32 L.

Part 2.

1 parts of juice needs 4 parts of lemonade

4 L of juice     needs  x L of lemonade

1 : 4 = 4 : x

x = 4*4/1 = 16 L lemonade

4+ 16 = 20 L punch Josie can make

Part 3.

It was 4 L of juice and 16 L of lemonade.

After 2 L lemonade was added, we have 4 L of juice and (16+2) = 18 L of lemonade.

4 L juice : 18 L lemonade = 4/2 L juice : 18/2 L lemonade =

= 2 L juice: 9L lemonade

New ratio juice : lemonade = 2 : 9

Answer:

325 square inches

Step-by-step explanation:

Consider the attachment below for further reference. Ideally we would split this figure into parts, and solve as demonstrated by the attachment. I have labeled each rectangle as rectangle 1, rectangle 2, rectangle 3 etc. ;

[tex]Rectangle 1 Area = 17 in * 5 in = 85 square in\\Rectangle 2 Area = ( 17 in - 5 in ) * 14 in = 168 square in,\\Rectangle 3 Area = ( 12 in - 3 in ) * 8 in = 72 square in\\\\Total Area = 85 + 168 + 72 = 325 square inches[/tex]

Hope that helps!

Answer: The answer is 325 inches.

Step-by-step explanation: You can divide the rectangle into multiple parts and find the areas of those parts and add all the areas together at the end

Answer:

B.

Step-by-step explanation:

B.

- 9 ≤ - 3x - 6 ≤ 6

1 part.

- 9  +6 ≤ - 3x - 6 +6

- 3/(- 3) ≤ - 3x/(- 3)

1 ≥ x

2d part

- 3x - 6 +6≤ 6 + 6

- 3x ≤ 12

- 3x/(-3) ≥ 12/(-3)

x ≥ - 4

x ≥ - 4 and x≤ 1

Answer:

  20%

Step-by-step explanation:

The increase is ...

  $90 -75 = $15

As a percentage of the original price, that is ...

  $15/$75 × 100% = 0.20×100% = 20%

The increase was 20%.

Answer:

Since, 113 is on the confidence interval obtained (97.502, 114.098), so, we can suggest that is plausible that the true average IQ score for all seventh-grade female students at this school is 113.

Step-by-step explanation:

The question isn't complete, the missing part asked us to obtain a 99.5% confidence interval for the true average IQ score

Finding the confidence interval using the sample data provided, we can answer the question of plausibility.

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 105.8

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 31 - 1 = 30

Significance level for 99.5% confidence interval

(100% - 99.5%)/2 = 0.25% = 0.0025

t (0.0025, 30) = 3.03 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 15

n = sample size = 30

σₓ = (15/√30) = 2.739

99.5% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 105.8 ± (3.03 × 2.739)

CI = 105.8 ± 8.298

99.5% CI = (97.502, 111.387)

99.5% Confidence interval = (97.502, 114.098)

Since, 113 is on the confidence interval obtained, so, we can suggest that is plausible that the true average IQ score for all seventh-grade female students at this school is 113.

Hope this Helps!!!

Answer: 1-20=2  and 60-80=4

Step-by-step explanation:

the first is 2 number of building

and the third one is 4 number of buldings

Hope this helps :)

Answer:

55% probability that a randomly selected depth is between 2.25 m and 5.00 m

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.

This means that [tex]a = 2, b = 7[/tex]

What is the probability that a randomly selected depth is between 2.25 m and 5.00 m?

[tex]P(2.25 \leq X \leq 5) = \frac{5 - 2.25}{7 - 2} = 0.55[/tex]

55% probability that a randomly selected depth is between 2.25 m and 5.00 m