MATHEMATICS HIGH SCHOOL

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Answers

Answer 1

Answer:

Answer:

The first one with the sequence 0.25,1,4,16

Answer 2

Answer:

Answer:

the first one

Step-by-step explanation:

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What is the unit fraction for 12/84

Answers

To simplify 12/84 find the greatest common factor, the greatest factor shared by both numbers. In this case, it is 12 itself. Divide both sides by 12 to get 1/7.

Given the function f (x) = 8x2 - 14x – 10, find f -2).

Answers

Remember from now on ;

If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.

Got it ?

Now Let's do it .....

$f( x) = 8 {x}^(2) - 14x - 10$

$f( - 2) = 8({ - 2})^(2) - 14( - 2) - 10 \n$

$f( - 2) = 8 * 4 + 28 - 10$

$f( - 2) = 32 + 28 - 10$

$f( - 2) = 60 - 10$

$f( - 2) = 50$

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And we're done...

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A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses.

Answers

Answer:

Step-by-step explanation:

Given that

mu = 1502.5 pages

Sample mean x bar = 1511.4 pages

Std deviation =s= 35.7 pages

Sample size n = 40

By assuming random samples since only sample std dev is know we can say that sample mean x bar follows a t distribution with

mean =1511.4 and std error = $(35.7)/(√(40) ) \n=5.64$

Test statistic t = Mean diff/STd error = 1.613

df = 39

At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose is used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?

Answers

Answer: 12 minutes

Step-by-step explanation:

This is a standard Work Formula question (2 or more 'entities' that work on a task together). When there are just 2 entities and there are no 'twists' to the question, we can use the Work Formula to get to the correct answer.

Work = (A)(B)/(A+B) where A and B are the individual times needed to complete the task.

We're told that two hoses take 20 minutes and 30 minutes, respectively, to fill a pool. We're asked how long it takes the two hoses, working together, to fill the pool.

(20)(30)/(20+30) = 600/50 = 12 minutes to fill the pool.

Evaluate the expression, -1 x (-0.1 x -5 + 0.5)

Answers

Answer:

-1

Step-by-step explanation:

-1 x (-0.1 x -5 + 0.5)

= -1 x 1

= -1

Show your work !

Thanks

Answers

For 1st.
you can solve it by general law or ,
since the coefficient of r^2 = 1
so u should think of 2 number which if u multiple them gives you 27 and sum of them is 12 and those numbers are 9 , 3
so the answer (x+9)*(x+3)
2nd problem :
g^2 - 9 = (g-3)*(g+3)
3rd problem:
2p^3 + 6p^2 + 3p +9
1st divide it into two parts
(2p^3 +6p^2)+ (3p+9)
from the 1st part
take 2p^2 as a common factor and from part 2 take 3 as a common factor and the equation be like
2p^2(p+3) + 3(p+3)
then take (p+3) as a common factor
so (p+3)* ( 2p^2 +3 )

1: (r+3)(r+9). 2: (g+3)(g-2). 3: (2p^2+3)(p+3). FOIL multiply the first, inside, outside, and last terms. add the inside and outside terms together. :)

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