What is the decimal equivalent of 40%?

Answers

Answer 1

Answer:

The decimal equivalent of 40% is 0.4.

What is decimal equivalence?

'Equivalent decimals are two decimal numbers that are equivalent, that is, they represent the same value or amount.'

According to the given problem,

40% = 40/100

= 4/10

= 0.4

Hence, we can conclude, the decimal equivalent of 40% is 0.4.

Learn more about decimal equivalence here:

brainly.com/question/18636260

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Answer 2

Answer: .4 hope I helped, please please hit that thank you button!

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Three roots of the polynomial equation x4 - 4x3 - 2x2 + 12x + 9 = 0 are 3, -1 and -1. Explain why the fourth root must be a real number. Find the fourth root.

Answers

Hello,

P(x)=x^4-4x^3-2x^2+12x+9=0
P(3)=3^4-4*3^3-2*3²+12*3+9=81-108-18+36+9=0
P(-1)=(-1)^4 - 4*(-1)^3 -2*(-1)²+12*(-1)+9=1+4-2-12+9=0
P'(x)=4x^3-12x²-4x+12
P'(-1)=4*(-1)^3-12*(-1)²-4*(-1)+12=-4-12+4+12=0
(-1) is a double root
Ok 3,-1,-1 are roots.

If the 4th root is not a real but a complex (a+ib), its conjugate will be also a root , there would be 5 roots and not 4

So, the 4th root is real and equal to 3 ( a double root)

x^4-4x^3-2x²+12x+9=0
==> x^4+x^3-5x^3-5x²+3x²+3x+9x+9=0
==>x^3(x+1)-5x²(x+1)+3x(x+1)+9(x+1)=0
==>(x+1)(x^3-5x²+3x+9)=0
==>(x+1)(x^3+x²-6x²-6x+9x+9)=0
==>(x+1)[x²(x+1)-6x(x+1)+9(x+1)]=0
==>(x+1)²(x²-6x+9)=0
==>(x+1)²(x-3)²=0

P(x)=(x+1)²*(x-3)²

What is the distance between the points (2, 5) and (5, 7)?

Answers

Answer: $√(13)\text{ units}$

Step-by-step explanation:

The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-

$d=√((d-b)^2+(c-a)^2)$

Now, the distance between(2, 5) and (5, 7) is given by :-

$d=√((7-5)^2+(5-2)^2)\n\n\Rightarrow\ d=√((2)^2+(3)^2)\n\n\Rightarrow\ d=√(13)\text{ units}$

Hence, the distance between the points (2, 5) and (5, 7) $=√(10)\text{ units}$

What is the distance between the points (2, 5) and (5, 7)?

(3, 2)

An airplane flies in a straight line for 5 hours & then takes a turn 12 degrees to the right & flies 3 hours in the new direction. The plane maintained a constant speed of 550 miles per hour throughout the flight. How far is the plane from the starting point in the air at the end of this time? (could someone pls explain this lol -3-)

Answers

we have triangle with side 5*550 = 2750 and side 3*550=1650 and angle 180-12 = 168 between them
Now we use the cosine theorem to get third side

$d = √(2750 ^2+1650^2-2*1650*2750*cos(168)) = 4 377.40670603041$

A random walk on the 2-dimensional integer lattice begins at the origin. At each step, the walker moves one unit either left, right, or up, each with probability 1/3. (No downward steps ever.)A walk is a success if it reaches the point (1, 1).

What is the probability of success?

Answers

The 9 combinations that exist for two movements:

R,R
R,L
R,U *
L,R
L,L
L,U
U,R *
U,L
U,U

Walker would only be able to make it to (1,1) with only 2 of these combinations.

So if he were only allowed to make two movements, his chances of arriving at (1,1) would be 2/9.

What is the probability of flipping a coin 8 times getting heads 4 times

Answers

1/2 because 8/4=2 so 2 means that there is two sides, so your answer is 1/2

1 out of 2 or 50% is the probability

I need help with this math question on my study guide!Sadly, I do not remember how to do this and I would greatly appreciate any help you can offer.

Answers

Sadly is right. You must have practiced this stuff in middle school
until it was coming out of your ears. Fortunately, you have a chance
to relearn it now. You should do that ... it'll be important in any math
course you ever take.

'm' is the slope of the line on the graph.

The slope is

      (the change in 'y' between any two points on the line)
divided by
   (the change in 'x' between the same two points).

You can choose any two points on the line, and the slope is always the same.

To make it easy, look at the two points on this graph where the line crosses
the x-axis and the y-axis.

Going between these two points ...
-- the line goes up, from y=0 to y=4. The change in 'y' is 4 .
-- the line goes to the right, from x=-2 to x=0. The change in 'x' is 2 .

   'm' = the slope = (4)/(2) = 2 .

The "y-intercept" is the place where the line crosses the y-axis.
On this graph, that's the point where y=4 .

The equation of EVERY straight line on ANY graph is:

   Y = (the slope) times 'x' + (the y-intercept) .

So the equation of THIS line on THIS graph is

   Y = 2x + 4 .

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