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8090 [49]
3 years ago
11

Simplify (2-3x4+5)^2

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0
I believe 9x^8-42x^4+49 or 5476 is correct:)
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find the value of solid figure not including hole cutout. Round to two decimal places. Cube figure is 12 feet long with 4 ft cut
Artemon [7]

Answer:

1577.20 ft³

Step-by-step explanation:

Cube of length = 12 ft = a

Hole diameter which is cutout = 4 ft = d

Hole radius which is cutout = 4/2 =2 ft = r

Volume of the cube = a³

⇒Volume of the cube = a×a×a

⇒Volume of the cube = 12×12×12

⇒Volume of the cube = 1728 ft³

The hole cut out will be in the shape of a cylinder

Volume of cylinder = πr²h

⇒Volume of cylinder = π×2²×12

⇒Volume of cylinder = 150.79 ft³

Now volume of the solid figure with hole cut out is

Volume of the cube - Volume of cylinder

=1728 - 150.79

=1577.20 ft³

∴ Volume of solid figure not including hole cutout is 1577.20 ft³

5 0
3 years ago
Determine which postulate or theorem can be used to prove that<br> ΔSEA= ΔΡΕΝ.
Vikentia [17]

Answer:

ASA

Step-by-step explanation:

ASA(Angle-Side-Angle) postulates states that if two angles and one included side of one triangle are congruent to the two angles and one included sides of the other triangle, then these triangles are congruent.

3 0
2 years ago
What is 16 ÷ 2 x 5 x 3 ÷ 6
aliya0001 [1]

Answer:

20

Step-by-step explanation:

use PEMDAS.

do 5 x 3, the multiply that by 16/2.

you would get 120.

then divide by 6

4 0
2 years ago
Read 2 more answers
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
Orlov [11]
The equation y=mx+b
Slope= m
y-intercept= b

y= 2x+0 so y=2x
7 0
3 years ago
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba
Olegator [25]

Answer:

The probability that occurrence of 8 in ten minutes is 0.0771.

Step-by-step explanation:

Poisson Distribution:

A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter \mu (>0), if the p.m.f is given by

P(X=x)=\frac{e^{-mu}\mu^x}{x!}  for x=0,1,2,...

               = 0,           elsewhere

The mean number of occurrences in ten minutes is 5.3.

Here \mu = 5.3 and x= 8

P(X=8)=\frac{e^{-5.3}(5.3)^8}{8!}

               =0.0771

The probability that occurrence of 8 in ten minutes is 0.0771.

3 0
2 years ago
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