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3 years ago

Hi please help me with this i’ll give brainliest if you give a correct and show your work!

Mathematics

1 answer:

Tatiana [17]3 years ago

6 0

1. (1.35)x(.42)

1.35
x. .42
________
270
5400
________
.5670

You need to have the total number of decimal places from the original two numbers. 1.35 has two decimal places and .42 has to decimal places you have a total of four decimal places, Which means 5670 is .5670

2. (.22)x(.04)

.22
x. .04
_______
88
00
_______
.0088

you need to have the total number of decimal places from the original Two numbers. So .22 is two decimal places and .04 is two decimal places, so you will need to have for decimal places. That means that the answer 88 needs to be translated into .0088

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Find the first 4 terms in the expansion of ( 1 + x 2 ) 8. Use your answer to find the value of ( 1.01 ) 8

anyanavicka [17]

(1+x^2)^8

=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)

=1+8x^2+28x^4+56x^6+70x^8+....)

For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.

1.01=(1+0.1^2) => x=0.1 in the above expansion

(1.01)^8

=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]

=1+0.08+0.0028+0.000056 (+0.00000070)

=1.082856 (approximately)

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4 years ago

In standard form, the number 72105.4 is written as 7.21054 × 10n where n is equal to ________.

mafiozo [28]

Answer: n = 4

Step-by-step explanation:

n is always equal to the number of times 10 could be raised to so as to make a total of the number in question.

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3 years ago

Yasmine has a dinner party for her grandparents’ 50th anniversary. The total bill comes to $389.45. If she tips the waiter 18%,

Debora [2.8K]

Answer:

$459.551

Step-by-step explanation:

18% of 389.45 is 70.101 (the tip)

389.45+70.101=459.551 (the total)

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3 years ago

To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liq

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Answer:

There are 719,115.8179 KG of fuel stored in the external tank

Step-by-step explanation:

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3 years ago

Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism

kherson [118]

Answer:

MN = 7 cm

Step-by-step explanation:

Well the volume we can separate into pieces

first the ABCDEFGH (? you know this cuboid)

which has a volume of

$V = AB\cdot BC\cdot CH\\\\V = 3*6*(3+JY+4)$

if you ask where does the 4 come from

it comes from LP = KB = YC and JY + YC =JC

$V = 18(7+MX)$

this is because JY = MX

the other volume is of BCNPKLXY (hope you understand which one)

and the volume is

$V = BP*PN*NX\\\\V=8*6*4\\\\V = 192$

and the last one is KYXLMJ (the top "triangle")

the volume is

$V = \frac{LX*XM}{2}*LK\\\\V = \frac{6*MX}{2}*8\\\\V= 6*4*MX\\\\V=24MX$

so now add them up

and has to equal 444

$V_T = 18(7+MX)+192+24MX\\\\V_T = 126+18MX+192+24MX\\\\V_T = 318+42MX\\\\444=318+42MX\\\\444-318=42MX\\\\126=42MX\\\\MX = 3$

and finally we know that MN = MX + XN = 3+4 = 7

so here is our answer MN = 7 cm

a couple of notes

$1.\:\angle LXM = 90\\\\2.\:\angle KYX = 90$

3. the units don't matter due to the fact that everything is in cm

4. see the picture below to get a better idea of which prism I am talking of

5. tell me if you have questions :D

8 0

3 years ago