MATHEMATICS HIGH SCHOOL

1.Выполните действия:а) (а^2– 2b)^2
б) (-7x — 1)^2
в) (-5а +2в^4)^2
г) (x-12)(х+ 12)
д) (- 4n^3 +7)(4n^3+7)​

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

a. a^4 - 2ab^2 - 2ab^2 + 4b^4 = a^4 - 4ab^2 + 4b^2

b. 49x^2 - 14x + 1

c. 25a^2 - 20ab^4 + 4b^8

d. x^2 - 144

e. -16n^6 - 28n^3 + 28n^3 + 49 = -16n^6 + 49

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Penn stacks all of his snowballs in a square pyramid. The number of snowballs, P(n), in n layers of the square pyramid is given by P(n) = P(n-1) + n^2 Which could not be the number of snowballs Penn has? 5, 30, 25, 14

Answers

Naturally, a pyramid of zero layers doesn't need any snowballs, so P(0) = 0. Then using the given recurrence, we find

P(1) = 1

P(2) = 1 + 4 = 5

P(3) = 1 + 4 + 9 = 14

P(4) = 1 + 4 + 9 + 16 = 30

and so on; luckily, three of these are listed among the answer choices, which leaves 25 as an insufficient number of snowballs to make such a pyramid.

More generally, we would end up with

P(n) = 1^2 + 2^2 + 3^2 + \cdots + n^2 = \displaystyle \sum_(k=1)^n k^2 = \frac{n(n+1)(2n+1)}6

Then given some number of snowballs S, you could try to solve for n such that

S = n (n + 1) (2n + 1)/6

and any S that makes n a non-integer would be the answer.

A 30 gallon tub is completely full. The drain is opened and the tub begins draining at a of 1.5 gallons per minute. How long will it take the tub to completely drain?

Answers

1.5÷60=0.025 per second

30÷0.025=1200 second

1200÷60 =20 hours

20 hours

A chef cooked seven kilograms of mashed potatoes for a dinnerparty. If the guests only ate three-quarters of the amount he cooked,
how much did they eat?.....................plz hurry up

Answers

Answer:

Hence, the amount of potatoes they ate is:

(21)/(4)kg=5.25kg

Step-by-step explanation:

A chef cooked seven kilograms of mashed potatoes for a dinner

party.

Now it is given that:

If the guests only ate three-quarters of the amount he cooked,

We have to find the amount they ate?

(  Three-quarters is an amount that is three out of four equal parts of something )

i.e. the guest ate:

3/4 of 7 kg of mashed potatoes.

which is given by:

(3)/(4)* 7=(21)/(4)kg=5.25kg

Hence, the amount of potatoes they ate is:

(21)/(4)kg=5.25kg
7* (3)/(4) = (7*3)/(4) = (21)/(4) = (20+1)/(4) = (20)/(4) + (1)/(4) =5+ (1)/(4) =5.25

Answer this and EXPLAIN why and HOW you got your answer!

SHOW YOUR WORK.......

Answers

You will need to set up your table of values for each person.

Let x represent the months, and y for the amount of money.

For Carissa:                             For Louann:
x = y                                         x = y
--   --                                         --    --
0    $250                                 0   $1230
1    $330                                   1   $1170
2    $410                                  2   $1110
3    $490                                 3   $1050
4    $570                                 4    $990
5    $650                                 5    $930
6    $730                                 6    $870
7    $810                                 7    $810

You could also do the equation:
80x + 250 = -60x + 1250
where you will get x=7.
Then substitute 7 to the x's in the equation which will give you $810 for each.

The answer is: It will take 7 months. Then, they will both have $810 in their accounts.

This exercise is trying to get you to write an equation
that describes what's going on.

Carissa has $250 today, and she adds $80 to it each month.
In  'm'  months from now, she'll have  80m  more than $250.

                C (for Carissa)  =  250 + 80m

Louann has $1230 today, and she takes out $60 each month.
In  'm'  months from now, she'll have  60m  less than $1230.

               L (for Louann)  =  1230 - 60m

Carissa has less money today, but it's growing $80 every month.
Louann has more money today, but it's losing $60 every month.
Eventually, they'll both have the same amount.
The question is:  When and how much ?

Well, when they both have the same amount, then  C = L .

                                         250 + 80m  =  1230 - 60m

That's the end of the hard part of this problem ... writing
the equation. The rest is easy, and I'm sure you'd have
no trouble solving it.  But since I'm on a roll, and I'm
going to take your 5 points, I might as well keep going:

                                           250 + 80m  =  1230 - 60m

Subtract 250 from each side:    80m  =    980 - 60m

Add  60m  to each side:            140m  =  980

Divide each side by  140 :                m  =  7

This is telling us that after 7 months, Carissa and Louann will both
have the same amount of money in their accounts.

The problem also asks us how much that is.  So let's find the
amount for both of them, just to check our work and make sure
they're both the same:

Carissa:   250 today + (7 months x $80/month) = 250+560 = $810 .

Louann:  1230 today - (7 months x $60/month) = 1230-420 = $810 

                                                                                                       yay !

Please help me with this​

Answers

Answer: 312 balcony seats and 396 ground seats

Step-by-step explanation:

Multiplying the second equation by 10, we get 10b+10g=7080.

Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.

Thus, g=396.

Domain is the set of all input values, while range is the set of all:

Answers

all output values. This is because the domain of a function is the set of all possible x-values that you will put into the equation while the range is the set of all possible y-values, the solution.
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