Violet is dividing 1 by 6 . if she continues the process, what will keep repeating in the quotient?

If you rent 5 dvds for 5 nights for $5 how much should you expect to pay to rent 1 dvd for 1 night

Sidana [21]

You should have to pay $1

3 0

4 years ago

75% of what equals 225? What did you get for 10%, 20% , 30% , 40%, 50% ,60% and 70%?

Lesechka [4]

75% of 225 = 300.

10% = 30
20% = 60
30% = 90
40% = 120
50% = 150
60% = 180
70% = 210
80% = 240
90% = 270

If you need an explanation, just ask.

8 0

3 years ago

Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statemen

avanturin [10]

Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression $(4.296*10^{11})(1.8614*10^{-14})$ , to expand the expression we will apply some of the law of indices below. If a, b and m are integers

$a^m*a^n = a^{a+m}$

$= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\ power\ of\ the \ exponents\\\\= 7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\$

= 0.0079965744

Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.

4 0

3 years ago

Read 2 more answers

If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)

Ipatiy [6.2K]

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

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7 0

3 years ago

How do i solve 5x+3y=-10 & 3x+5y=-6

Gre4nikov [31]

Solve it using elimination method:

5x+3y=-10
3x+5y=-6

Essentially what you would want to do is eliminate a variable so you have to multiply the two equations so that the two “y”s cancel each other out. You do this by multiplying one by a negative number and the other one a positive number. Doesn’t matter what number you multiply the number with; however, both numbers need to be the same distance away from zero. Also, if you’re going to multiply one term, then all the terms will need to be multiplied.

-5(5x+3y)=-10
3(3x+5y)=-6

Distribute and Multiply:
-25x-15y=50
9x+15y=-18

Now add the two equations by adding the x’s together, y’s, and the total.

The y’s end up canceling each other.

-16x=32

Divide:

X=-2

Now that you have “X” substitute x from one of the equations from the beginning. You may do two for checking answers.

3(-2)+5y=-6

-6+5y=-6

5y=0

Y=0

The answer is:
x=-2
y=0

(-2,0)

7 0

3 years ago