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2 years ago

What do algebraic expressions and numeric expressions have in common

Mathematics

1 answer:

siniylev [52]2 years ago

5 0

Answer:

A numerical expression is an expression made up only of numbers and operations but an expression written with a variable in it, is called a variable expression. Both a numerical expression and a variable expression can include powers.

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I hope this helps!

-GXLDIE <3

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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is

lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

$P= 2l+3.14 (w/2)+w$

Or $P = 2l+2.57w\\l = \frac{P-2.57w}{2}$

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

$A=lw +\pi \frac{w^2}{8}$

$A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57$

Hence we get maximum area when i derivative is 0

i.e. $P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P$

$l = \frac{P-2.57w}{2}\\l = 0.1401P$

Dimensions can be

$l=0.1401P\\w =0.2801P$

5 0

2 years ago

What is 5.6 x 105 in standard notation?

stiv31 [10]

105

x5.6

0630

+5250=

5880

Then add a decimal point

588.0

588

hope it helps!

7 0

2 years ago

Read 2 more answers

Find an exponential model : Q is the population of bacteria in a Petri dish whose population was originally 150,000 but is tripl

Nadya [2.5K]

Answer:

150,000*3^t for 6 hour increments (t=1 is 6 hours t=2 is 12)

150,000*3^(t/6) for hourly increments, each t is 1 hour.

Step-by-step explanation:

Well super simply you could do 150,000*3^t where t is measured in 6 hour intervals. so t=1 is 6 hours, and to get 1 hour you would need to do t=1/6

If you want t to be an increase of every hour you would just need to adjust, like I showed before 1/6 gets one hour so 150,000*3^(t/6) would be the model where every t increases by 1 hour.

4 0

2 years ago

Uma rede de supermercados fornece a seus clientes um cartão de crédito cuja identificação é formada por 3 letras distintas (dent

Vitek1552 [10]

Answer:

The correct option is (A) 33,600.

Step-by-step explanation:

The question is:

A supermarket chain provides its customers with a credit card whose identification is formed by 3 different letters (among 26), followed by 4 different digits. A given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1. The total number of distinct cards offered by such supermarket chain for that city is A) 33600 B) 37800 C) 43200 D ) 58500 E) 67600

Solution:

The general format of the credit cards provided by a supermarket chain is as follows:

X X X # # # #

Here, X represents letters and # represents numbers.

All the three letters have to different and all the four numbers have to different, i.e. no repetition allowed.

It is provided that a given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1.

Then the general format of this cities credit cards is as follows:

X X L # # 1 0

Now there are two spaces left for letters and 2 for numbers.

As there are no repetition allowed the two letter spaces can be filled by:

Number of ways to select 2 letters = 25 × 24 = 600

And the number of ways to select two numbers when there is no repetition allowed is:

Number of ways to select 2 numbers = 8 × 7 = 56

Compute the total number credit cards available at the supermarket as follows:

Total number credit cards = 600 × 56 = 33600

Thus, the total number of distinct cards offered by such supermarket chain for that city is 33,600.

The correct option is (A).

3 0

2 years ago

hugo is saving for a new baseball glove. he saves $10 the first week, and $6 each week for the next 6 weeks. the expression 10 +

BigorU [14]

So if Hugo has saved $10 the first week and $6 for the next 6 weeks the answer would be $46.

you can either add up 6 six times or you can multiple 6 by 6.
6+6+6+6+6+6=36 or 6×6=$36

then you add the $10 from the first week & the $36 from the $6 you saved for 6 weeks to get your final answer of $46.
$36+$10=$46

5 0

2 years ago