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3 years ago

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A geometric sequence is defined recursively by an=12a(n-1). The first term of the sequence is 0.001. Which of the following is t

he explicit formula for the nth term of the sequence?

1 answer:

Talja [164]3 years ago

6 0

What kind of formula is the answswer supposed to be

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In the kite , AK=9 , JK=15 , and AM=16 .

Veronika [31]

Answer:

The Length of JM is 20.

Step-by-step explanation:

Given,

JKLM is a kite in which JL and KM are the diagonals that intersect at point A.

Length of AK = 9

Length of JK = 15

Length of AM = 16

Solution,

Since JKLM is a kite. And JL and KM are the diagonals.

And we know that the diagonals of a kite perpendicularly bisects each other.

So, JL ⊥ KM.

Therefore ΔJAK is aright angled triangle.

Now according to Pythagoras Theorem which states that;

"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".

$JK^2=KA^2+AJ^2$

On putting the values, we get;

$(15)^2=9^2+AJ^2\\\\225=81+AJ^2\\\\AJ^2=225-81=144$

On taking square root onboth side, we get;

$\sqrt{AJ^2} =\sqrt{144}\\\\AJ=12$

Again By Pythagoras Theorem,

$AJ^2+AM^2=JM^2$

On putting the values, we get;

$JM^2=(12)^2+(16)^2\\\\JM^2=144+256=400$

On taking square root onboth side, we get;

$\sqrt {JM^2}=\sqrt{400}\\\\JM=20$

Hence The Length of JM is 20.

4 0

3 years ago

Simplify the expression. (n^7)^2

tankabanditka [31]

Answer:

n^14

Step-by-step explanation:

Simplify. Note that when you have a power on top of a power, you multiply the two powers.

(n^7)^2 = n^(7 * 2) = n^14

n^14 is your answer.

~

7 0

3 years ago

Read 2 more answers

PLEASE HELP!! NEED ASAP 100 POINTS!!

Leto [7]

Answer:

See Below.

Step-by-step explanation:

Remember that the maximum account balance Ebony had was $400.

We can see that her bank balance first reached $400 on Day 4 and continued until Day 8.

Part A)

Since the maximum amount is $400, it is whenever the graph reaches (and stays) at its maximum, or the highest points on the graph.

We can see that at around Day 4, she first reached her maximum of $400 since that is the highest point of the graph.

And this continues until approximately Day 8.

Therefore, Ebony first reached $400 on Day 4 and stayed at $400 until Day 8.

Part B)

Refer above. The explanation is the same.

Part C)

Jade is says that the amount Ebony is depositing per day from Days 0 to 4 is the same as the amount Ebony is withdrawing per day from Days 8 to 12.

We also know that Day 12 is when Ebony’s account first reached 0.

Essentially, Jade is saying that the <em>slope</em> of the line from Days 0 to 4 is <em>the same</em> as the <em>slope</em> of the line from Days 8 to 12.

Ignoring the negative, we can immediately see that this is not true without calculating.

This is because the slope of the line from Days 8 to 12 is much steeper than than slope of the line from Days 0 to 4.

So, the two slopes are not equal since they are not the same steepness.

Therefore, this means that from Days 8 to 12, Ebony withdrew money at a <em>faster rate per day</em> than she had been depositing from Days 0 to 4.

Hence, Jade’s statement cannot be true.

3 0

3 years ago

Read 2 more answers

What is equivalent to log9w

Anit [1.1K]

log9+logw is <span>equivalent to log9w.

</span>log9w=log9+logw

8 0

3 years ago

How many x-intercepts does this function have? The two next to the 5 is for squaring. r(x)=(x−5)2−1

Mamont248 [21]

Answer:

The Answer is 1 X-intercept, it intercepts at (24,0)

Step-by-step explanation:

6 0

3 years ago