which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3

Answer:

y = (1/4) 2^x

Step-by-step explanation:

Remark

y = a * x^n is the general equation. Let's see what that means.

Solution

Solve for x

t_12 = a x^12

1024 = a x^12

t_8 = a x^8

64 = a x^8

Now divide the two equations.

1024/64 = a x^12/a x^8       Cancel out the as

1024 / 64 = x^12 / x^8

16 = x^(12 - 8)

16 = x^4                               Take the 4th root of both sides.

[tex]\sqrt[4]{x^4}[/tex]  =  [tex]\sqrt[4]{16}[/tex]

x = 2

Go back and solve for a

y_12 = a x^12

1024 = a 2^12

1024 = a 4096                   Divide by 4096

1024 / 4096 = a

a = 1/4

Problem 7

a) First of negative numbers are probably not a good idea. It means that the population is going to decrease. That's not what will happen if you take care of the fruit flies.

So for the domain, 0 is a good starting point.

That will give you 100 flies on day 0. That's how many you bought.

I'm not a biologist so I have no idea in the world how long a fruit fly will live even with the best of care. I'm going to try 60 days and see what happens.

y = 100 * 1.05 ^60

y = 100 * 18.68

y = 1868

Is this number reasonable? Even with the biggest olive jar you can find, and the best care, I don't think that number is realistic. It's too large. Eventually all will die of disease because they are living in their own waste. So Let's try 20 days

y = 100 * 1.05^20

y = 100 * 2.65

y = 265

That's a lot more reasonable. So for convenience sake let us say that 265 flies could live for 20 days

So to answer the question

The domain would be 0 to 20

The range would be 100 to 265

b)

2 weeks = 2*7 days

2 weeks = 14 days

y = 100 * 1.05^14

y = 100 * 1.98

y = 198 fruit flies.

Answer:

??? Incomplete sentence

Step-by-step explanation:

Answer:

Part 1) Option B. y = 10x + 45

Part 2) The score is 95

Step-by-step explanation:

Linear equation that best describes the given model

Let

x ---> number of hours students spent studying

y --->  their score on the test

Looking at the line that was fit to the data to model the relationship

The slope is positive

The y-intercept is the point (0,45)

For x=1, y=55 ----> point (1,55)

Find the slope

The formula to calculate the slope between two points is equal to

substitute  the points (0,45) and (1,55)

Find the equation of the line in slope intercept form

we have

substitute

Part 2) Estimate the score for a student that spent 5 hours studying.

For x=5 hours

substitute in the linear equation and solve for y

Answer:

Part 1) Option B. y = 10x + 45

Part 2) The score is 95

Step-by-step explanation:

Answer:

the first box is proportional but the second is not

thus; y is (4/3)x for the first illustration

Answer:

c: 38 cm

Step-by-step explanation:

I hope it's not too late

Answer:

The area is 32cm

Step-by-step explanation:

Area  = length x width

Area = 4 x 8 = 32

Answer:

The answer is A

Step-by-step explanation:

F the total number of fees is how much 250 + 15g equals

Answer:

Step-by-step explanation:

g=800(0.35)=280

a. 280/800=7/25

b. 520/800=13/20

Answer:

(A) Population data

(B) The figures

(C) The classification of votes by political party

Step-by-step explanation:

(A) These results summarize population data. The population is the total 3,889 voters from whom information was collected.

The samples would be

- Voters registered as Democrats  (1,633)

- Voters registered as Republicans  (1,206)

- Independent Voters  (1,050)

The total of members in each sample equals the total number of people in the population.

(B) A descriptive aspect of the result is the figures or percentages. They describe how (in percentage) voters penned their votes for Brown and how they penned their votes for Whitman. NOTE: To get the percentage or fraction of those who voted for Whitman, simply subtract the percentage of Brown's supporters from a total of 100%.

(C) An inferential aspect of the results is the classification of votes by different parties (the samples are the different parties involved here). This helps to infer the sources of support for Brown and the sources of support for Whitman.

For example, if the total votes for Brown (in population result analysis) are low, the Republicans are the major reason why!

Answer:

p(A) + p(B)

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.

As such, if A and B are two events, the probability of occurrence of either A or B is given as

= p(A) + p(B)

where p(A) and p(B) are the probabilities of A happening and B happening respectively.

Answer:

What you need to do is to solve. 2 = -7/4 + 1/4 x

You can try to have same denominator in all numbers to be able to multiply the right and left side by it and remove it

We can write it like this:

8/4 = -7/4 + 1/4  x

We multiply by four the two sides  and get

8 = -7 + x

We can sum 7 to both sides

8 + 7 = x

x= 15

We can replace to see if it's correct

-7/4 + 1/4 * 15 = -7/4 + 15/4 = 8/4

The percent error of Jake's estimate is 16.6 % when he found 10 were actually defective out of 12 batteries.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Mili obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Jake calculates that 12 batteries will be faulty during the month given in the question.

To determine the percent error which is the percentage of the difference between the accepted value and the experimental value.

As per the given condition, the required solution would be as:

⇒ [(12  - 10)/12] × 100

= [(2/12)] × 100

= [1/6] × 100

= 0.166× 100

= 16.6 %

Thus, the percent error of Jake's estimate is 16.6 %.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Answer:

y=5, x=0. that is the first. I'll leave the rest to you.

Step-by-step explanation:

Answer:

that it has a radius of (84/(h×pi))^1/3

Answer:

el 3

Step-by-step explanation:

Step-by-step explanation:

step 1. a function must only have a single y value for each x value.

step 2. for the input x, there can only be one output or result y.

step 3. #1 is a function because for each x there is only one y.

step 4. #2 and #3 are functions also.

step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)

step 6. (2, 2) and (2, -2) also makes #4 not a function.

Answer:

Kendall is 24 and Jamal is 15.

Step-by-step explanation:

39 - 9 = 30

30 ÷ 2 = 15

15 is Jamal's age.

15 + 9 = 24

24 is Kendall's age.

Answer:

S=(6,5)?......not sure tho

Answer:

Monthly payment-$67.78

Step-by-step explanation:

I didn't really know what you wanted so I just put that because that's the only thing to suit it but next time add in more information in your question please.

Answer:

Yes, it's a parallelogram

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Answer:

45

Step-by-step explanation:

5 divided by 8, multiply by 72

=(5÷8)72

=(0.625)72

=45

Answer:

600 km/hour

Step-by-step explanation:

1400 km in 2 hrs & 20 mins  (or 2.33 hours)

1400/2.33 = 600 km/hour

Answer:

Step-by-step explanation:

The answer is 48 hotdogs because 120 divided by $2.50 is 48

Answer:

-2.7<4.5

Step-by-step explanation:

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”  The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety.

Answer:

the line is vertical

Answer:

vertical.

Step-by-step explanation:

you can tell its vertical because it says x=-1, meaning it will be on the x axis. i also graphed it in the picture. hope this  helped !

Options :

a. The surveys are biased because people chose to respond or not.

b. Because of the large sample size, the results are most accurate of all members of the community.

c. The same sampling methods were used for both polls, demonstrating reliability.

Answer:

a. The surveys are biased because people chose to respond or not

Step-by-step explanation:

When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.

Answer:

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