MATHEMATICS HIGH SCHOOL

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteria after 9 hours? (0,1) (1,2) (2,4) (3,8)Answers:
128
256
512
1024

Answers

Answer 1
Answer: As the colony doubles every hour, the population p is modeled by:

p = 2^t

Where t is the time in hours.

We can see this because:

2^0 = 1 \n 2^1 = 2 \n 2^2 = 4

Notice that the x coordinate of the graph corresponds to the time, and the y coordinate corresponds to the population.

Thus at t=9

p=2^9 \n \n p = \boxed{512}

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A pilot flew a jet from City A to City B, a distance of 1700 miles. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 5h 40 min. What was the speed from City A to City B?________ mi/h

Answers

The answer is about 650 mi/h
I'm going to round it off so its going to be 650 mi/h

Complete the inequality with >, <, or =.

72 _____ 34

Answers

Answer:

>

Step-by-step explanation:

which ever the arrow is opening up to, is the greater number bro

Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion? A.The z-statistic is less than 0.
B.The z-statistic lies in the critical region.
C.The z-statistic is greater than 0.
D.The z-statistic lies outside the critical region.

Answers

Answer: D.The z-statistic lies outside the critical region.


Step-by-step explanation:

When we run a hypothesis test , the result of that test will be a  probability value. The probability value is represented by a “p value” .

It tells us if hypothesis statement is probably true or not.

If the value falls in the rejection region, it means you have statistically significant results; You can reject the null hypothesis.

If the p-value falls outside the rejection region, it means your results aren’t enough to throw out the null hypothesis.

Hence, if Weston ound that he could not reject the null hypothesis. The z-statistic lies outside the critical region would be the valid reason for his conclusion.
The right answer for the question that is being asked and shown above is that: "D.The z-statistic lies outside the critical region." Weston completed a hypothesis test and found that he could not reject the null hypothesis. A valid reason for his conclusion is that D.The z-statistic lies outside the critical region.

find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n)=5+(n-1)(1/6)

Answers

Answer:

First term is 5

Fourth term is 5.5

Tenth term is 6.5                  

Step-by-step explanation:

Given :The rule as A(n)=5+(n-1)((1)/(6))        

We have to find  find the first,fourth,and tenth terms of the arithmetic sequence.

Consider the given rule ,

A(n)=5+(n-1)((1)/(6))        

For first term , put n = 1

A(1)=5+(1-1)((1)/(6))    

Simplify , we have,  

A(1)=5            

For fourth term, Put n = 4

we have,

A(4)=5+(4-1)((1)/(6))    

Simplify, we have,

A(4)=5+(3)((1)/(6))    

A(4)=5+(1)/(2)=5.5  

For tenth term, put n = 10 ,

We have,

A(10)=5+(10-1)((1)/(6))    

A(10)=5+(9)((1)/(6))

A(4)=5+(3)/(2)=6.5  

Thus, First term is 5

Fourth term is 5.5

Tenth term is 6.5
a₁ = 5    an = a₁ + ( n-1) * r
wyliczymy jednak - so we enumerate
a₁ = 5 + (1-1) * (1/6) = 5 + 0* 1/6 = 5 + 0 = 5
a₄ = 5 + (4 - 1) * (1/6) = 5 + 3 * (1/6) = 5 + 3/6 =5 1/2 = 5,5
a₁₀ = 5 + (10 - 1) * (1/6) = 5 + 9 * (1/6)  =  5 + (9/6) = 5 + 3/2 = 6 1/2 = 6,5

What are the factors of 5x^2 - x - 6? (3 points)A.(5x - 6)(x + 1)
B.(5x - 1)(x + 6)
C.(5x - 3)(x + 2)
D.(5x - 2)(x + 3)

Answers

The answer will be A.

When you use the distance formula, does the order in which you subtract the x- and y- coordinates matter? Explain please

Answers

lets say ur points are (1,2)(3,4)

d = sqrt (x2 - x1)^2 + (y2 - y1)^2

u would label ur points
set 1 (1,2)...x1 = 1 and y1 = 2
set 2 (3,4)...x2 = 3 and y2 = 4

or u could label them this way..
set 1 (3,4)...x1 = 3 and y1 = 4
set 2 (1,2)...x2 = 1 and y2 = 2

u have to do (x2 - x1)^2 and (y2- y1)^2....but u can label ur sets of points different. Just make sure u keep ur sets together. Does that make sense ?
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