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3 years ago

Which ratio is equivalent to 12: 54 ? a. 3/13 b. 6/24 c.24/104 d.36/162

1 answer:

6 0

It would be D.) 36/162

When you multiply 12 by 3, you get 36. You multiply the same number, 3, by 54 to get 162.

This means that the ratio is equivalent.

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Help ASAP lines a and b are perpendicular. The equation of like a is y=1/3x+3 what is the equation of line b

PSYCHO15rus [73]

Answer:

y = -3x - 4

Step-by-step explanation:

From the graph we see that the equation of a line is y = $\frac{1}{3}x + 3$

Note that the product of the slopes of perpendicular lines = -1.

The general equation of the line is: y = mx + c, where m is the slope.

Since the slope of this line is 1/3, the slope of its perpendicular line should be -3.

Therefore, we arrive at the slope - one point form to determine the equation of the line.

That is: (y - y₁) = m(x - x₁)

where, (x₁, y₁) is the point passing through the given line.

Here, from the graph the point (0, 4) passes through it.

So, y - (-4) = -3(x - 0)

⇒ y + 4 = -3x

⇒ y = -3x - 4 which is the required equation of the line.

6 0

3 years ago

PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE

Sati [7]

Answer:

See below

Step-by-step explanation:

Given there are 56 M&M's:

Expected Value of Blue = 56(0.24) = 13.44
Expected Value of Brown = 56(0.14) = 7.84
Expected Value of Green = 56(0.16) = 8.96
Expected Value of Orange = 56(0.20) = 11.20
Expected Value of Red = 56(0.13) = 7.28
Expected Value of Yellow = 56(0.14) = 7.84

Remember to use $np$ to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.

6 0

2 years ago

Please assist me with the power of i(imaginary)

kolezko [41]

Let's raise i to various powers starting with 0,1,2,3...

i^0 = 1

i^1 = i

i^2 = ( sqrt(-1) )^2 = -1

i^3 = i^2*i = -1*i = -i

i^4 = (i^2)^2 = (-1)^2 = 1

i^5 = i^4*i = 1*i = i

i^6 = i^5*i = i*i = i^2 = -1

We see that the pattern repeats itself after 4 iterations. The four items to memorize are

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.

To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.

This means i^25 = i^1 = i

Likewise,

i^5689 = i^1 = i

because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely

8 0

3 years ago

A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The

Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1