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3 years ago

Which is better takis or hot Cheetos

Mathematics

2 answers:

grandymaker [24]3 years ago

8 0

I like takis better especially the lime flavor.

Sphinxa [80]3 years ago

6 0

Cheetos is way better

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

Which parallelogram has an area of 60 square units? Select the correct

faust18 [17]

Wait what is what which number goes to what letter

8 0

3 years ago

Find the derivative of the function y = sin(tan 4x)

Virty [35]

$\bf y=sin[tan(4x)]\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{cos[tan(4x)]\cdot sec^2(4x)\cdot 4}
\\\\\\
\cfrac{dy}{dx}=4cos[tan(4x)]sec^2(4x)$

4 0

3 years ago

One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.

Scilla [17]

Answer:

The measure of the two supplementary angles are 65 degrees and 115 degrees.

Step-by-step explanation:

The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,

$x+y=180\ ....(1)$

According to given condition,

One supplementary angle is 15 degrees less than twice the other, it means,

$x=2y-15\ .....(2)$

Putting the value of x from above equation in equation (1),

$2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}$

Now put the value of y in equation (1), so,

$x+65=180\\\\x=115^{\circ}$

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.

3 0

3 years ago

I need help with #3 and #4 part b please help

Svetradugi [14.3K]

<h3>Answer:</h3>

3) likely

4) 1/2; equally likely

<h3>Step-by-step explanation:</h3>

3) You are being asked to translate a numerical value to a subjective statement. There are no hard-and-fast rules for this. Generally, the meanings of the terms you're asked to choose from are ...

impossible: probability is zero. The outcome cannot occur.
unlikely: chances are less than even; often, "unlikely" means a probability of 10%, 5%, 1% or lower, depending on the context.
equally likely: probability is near 50%
likely: more likely than not. Again, this depends on the context.
certain: probability is 1. There is no chance the outcome will not occur.

An 80% probability is greater than 50%, so might reasonably be called "likely."

___

4) a. Four of the eight numbers are even, so the probability of obtaining an even number at random is 4/8 = 1/2.

b. A probability of 50% might reasonably be called "equally likely", as the probability the event will occur is equal to the probability it won't.

4 0

3 years ago