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Marysya12 [62]
3 years ago
12

Scientific notation 100400

Mathematics
1 answer:
ad-work [718]3 years ago
5 0
1.004 * 10^5
all scientific notation equations have to be a number greater than 1 but less than 10
then multiplied by 10 to the power of (move the decimal point to the right however many times you need, in this case 5) :)
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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


3 0
3 years ago
NEED URGENT HELP
AnnyKZ [126]

Answer:

32.5

Step-by-step explanation:

If CED is 65, then AEB is 65, therefore we can calculate that CEA is 115 because 180 - 65 = 115. Then we do 180 - 115 = 65 which is the sum of angles ACE and CAE so 65 / 2 = 32.5 which is CAE.

Hope this helped!

8 0
3 years ago
A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $
Lerok [7]

Answer:

Sale price= $26.25

Step-by-step explanation:

Giving the following information:

Selling price= $35

Discount rate= 25%

<u>To calculate the sale price of the sweater, we need to use the following formula:</u>

<u></u>

Sale price= selling price*(1 - discount rate)

Sale price= 35*(1 - 0.25)

Sale price= 35*0.75

Sale price= $26.25

8 0
3 years ago
(3,-4) (3, 10)<br> What is the slope of the 2 set of points
sineoko [7]

Answer:

The slope is undefined

Step-by-step explanation:

The change in x is 0. So you have change in y over 0, which is undefined.

8 0
3 years ago
Read 2 more answers
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.
MrMuchimi

Answer:

161.8cm²

Step-by-step explanation:

solve for height which is the opposite

opp=x

sin(theata)= opp./hyp.

sin23=x/30

x=30×sin23

x=11.72cm

height=opposite

height=11.72cm

base=adjacent

base=27.6cm

½of 27.6cm=13.8

13.8cm×11.72cm=161.74 (2d.p)

161.74 rounded to the nearest tenths= 161.7

I'm not sure if it's the answer but it's the closest thing to the options

4 0
3 years ago
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