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Alona [7]
2 years ago
10

What is the base of the exponent in the function f (x) = 3 (RootIndex 3 StartRoot 8 EndRoot) Superscript 2 x when the function i

s written using only rational numbers and is in simplest form?
Mathematics
2 answers:
MariettaO [177]2 years ago
8 0

Answer:

  4

Step-by-step explanation:

  f(x)=(\sqrt[3]{8})^{2x}=2^{2x}=(2^2)^x=4^x

The base is 4.

Nana76 [90]2 years ago
6 0

Answer: The correct answer is 4.

just did the assignment and got it right

hope this helps :)

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f1(x) = ex, f2(x) = e−x, f3(x) = sinh(x) g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the int
eimsori [14]

Answer:

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

Step-by-step explanation:

Given

f1(x) = e^x

f2(x) = e^(-x)

f3(x) = sinh(x)

g(x) = 0

We want to solve for C1, C2 and C3, such that

C1f1(x) + C2f2(x) + C3f3(x) = g(x)

That is

C1e^x + C2e^(-x) + C3sinh(x) = 0

The hyperbolic sine of x, sinh(x), can be written in its exponential form as

sinh(x) = (1/2)(e^x + e^(-x))

So, we can rewrite

C1e^x + C2e^(-x) + C3sinh(x) = 0

as

C1e^x + C2e^(-x) + C3(1/2)(e^x + e^(-x)) = 0

So we have

(C1 + (1/2)C3)e^x + (C2 + (1/2)C3)e^(-x) = 0

We know that

e^x ≠ 0, and e^(-x) ≠ 0

So we must have

(C1 + (1/2)C3) = 0...........................(1)

and

(C2 + (1/2)C3) = 0..........................(2)

From (1)

2C1 + C3 = 0

=> C3 = -2C1.................................(3)

From (2)

2C2 + C3 = 0

=> C3 = -2C2................................(4)

Comparing (3) and (4)

2C1 = 2C2

=> C2 = C1

Let C1 = C2 = K

C3 = -2K

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

3 0
2 years ago
In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?
gizmo_the_mogwai [7]
<h3>Answer:  56/65</h3>

Work Shown:

sin(angle) = opposite/hypotenuse

sin(F) = EG/FE

sin(F) = 56/65

Refer to the diagram below.

5 0
2 years ago
Laura has $1000 bond with a 3.4% coupon. Laura purchased this bond for $1065. What is the yield of this new bond?
inn [45]

Answer:

The answer is B.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The average length of time that three lawn-service mowers operate on a given day is 930 minutes. None of the mowers operates for
Zielflug [23.3K]

Answer:

The answer is <u>A. 990.</u>

Step-by-step explanation:

Now, to find the greatest possible length of time any of the mowers operates.

The 3 lawn-service mowers operate at the average length of time = 930 minutes.

So, the total length of time the 3 lawn mowers take = 930\times 30=2790\ minutes.

The least length a mowers operates = 900 minutes.

Now, to find the greatest possible length of time any of the mowers operates:

Let x be the greatest possible length of time any of the mowers operates.

<em>As, any one of the mowers operates greatest length.</em>

<em>So, rest of the two mowers be least at length.</em>

According to question:

x+900+900=2790

x+1800=2790

<em>Subtracting both sides by 1800 we get:</em>

x=2790-1800

x=990.

<u><em>Thus, the greatest possible length of time any of the mowers operates is 990 minutes.</em></u>

Therefore, the answer is A. 990.

3 0
2 years ago
When alice completes each level in her favorite video game she wins 3 extra lives and 6 gold coins
Nataly_w [17]
The answer is 24. because you multiply 8 and 6 <span />
5 0
2 years ago
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