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allsm [11]
3 years ago
8

Consider the geometric sequence 4, 40, 400, 4000, ...

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

a(n) = 4*10(n - 1)

Step-by-step explanation:

Each term of the given sequence is 10 times greater than the previous term.

The first term of this sequence is 4.

Thus, the explicit formula desired is:

a(n) = 4*10(n - 1).

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Find y’ for y=7sec^3x
laiz [17]
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.

We then multiply everything together to simplify:

sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes

3x^2 * sin(x^3)/(cos(x^3))^2

and multiplying the constant 7 from the beginning:

7 * 3x^2 = 21x^2, so...

our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2


6 0
3 years ago
If there are 22 red cards and 28 black card, what is the probability you would draw a red card?
morpeh [17]

it would be 22/50 or 11/25

3 0
3 years ago
Which property justifies the following equation?
Leviafan [203]
1. . D . Identity , when you odd both properties it will always to be true on both sides
5 0
3 years ago
Type the correct answer in each box. Use numerals instead of words.
Alex_Xolod [135]

Answer:


Step-by-step explanation:

Given that prices for a pair of shoes lie in the interval

[80,180] dollars.

Delivery fee 20% of price.  

i.e. delivery fee will be in the interval [4, 9]

(1/20th of price)

Total cost= price of shoedelivery cost

Hence f(c) = c+c/20 = 21c/20

The domain of this function would be c lying between 80 to 180

So domain =[80,180]

---------------------------------

Amount to be repaid = 42 dollars

Once he received this amount, the price would be

105+42 =147

But since price range is only [21*80/20, 21*180/20]

=[84, 189]

Since now Albert has 147 dollars, he can afford is

[80,147]




6 0
3 years ago
Read 2 more answers
Solve the equation to get the value y
tia_tia [17]

Answer:

y=11

x=-4

Step-by-step explanation:

y =-x+7

2x-5y=-7

insert the first equation into the second like so...

2x+5x-35=-7

Now rearrange...

2x+5x=-7+35

Now solve...

7x=-28

x=-4

Now incert x in any equation...

y=4+7

y=11

5 0
2 years ago
Read 2 more answers
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