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2 years ago

Which is equivalent to..... algebra II engenuity

Mathematics

1 answer:

katrin2010 [14]2 years ago

8 0

Answer:

The correct answer is second option option

9¹/⁸ ˣ

Step-by-step explanation:

Points to remember

Identities

ᵃ√x = = x¹/ᵃ

√x = x¹/²

(xᵃ)ᵇ = xᵃᵇ

To find the correct option

It s given that,

(⁴√9)¹/² ˣ

By using the above identities we can write,

(⁴√9)¹/²ˣ = (9¹/⁴)¹/²ˣ [ since ⁴√9 = 9¹/⁴]

= 9⁽¹/⁴ * ¹/²⁾ ˣ

= 9¹/⁸ ˣ

Therefore the correct answer is second option option

9¹/⁸ ˣ

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Easy area question Need fast

kompoz [17]

Answer:

Ah I see it's the same it's a little more complex but I can do this as well.

But I can't type bcoz it will make it slow

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2 years ago

Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

$k=0$

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

$\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}$

Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

Simplify:

$1= e^k$

Anything raised to zero (except for zero) is one. Therefore:

$k=0$

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

$\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}$

By definition, ln(e) = 1. Hence:

$\displaystyle k = \ln 2$

Therefore:

$2k+1 = 2\ln 2+ 1 \approx 2.3863$

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

$\displaystyle \frac{1}{2} = e^k$

Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

3 0

2 years ago

JUL DEJU ILI Determine the value of y, if x is – 7. y = x2 + 1 I need help

Arada [10]

Answer:

y=-13

Step-by-step explanation:

Plugging in -7:

y= (-7)2 + 1

-7 * 2 = -14

So:

y= -14 + 1

-14+1=-13

5 0

2 years ago

7. Simplify this what’s the answer?

trasher [3.6K]

first the square root of 4 is 2 so we can sub that in.

now we have 2(2*2)^-2.

2 * 2 of course is 4

with 2(4)^-2, keep in mind that negative exponents just mean to "flip" the number and turn the exponents positive.

so 4^-2 is the same as 1/4^2 or 1/16.

finally 1/16 * 2 = 2/16. 2/16 simplified is 1/8.

3 0

3 years ago

Find the distance between the two points in simplest radical form.

Jlenok [28]

Answer:

$d=\sqrt{58}\approx7.6$

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Our first point, A, is at (1, 1) and our second point, B, is at (-2, 8).

Let's let A(1, 1) be (x₁, y₁) and B(-2, 8) be (x₂, y₂). Substitute this into the distance formula:

$d=\sqrt{(-2-1)^2+(8-1)^2$

Subtract:

$d=\sqrt{(-3)^2+(7)^2$

Square:

$d=\sqrt{9+49}$

Add:

$d=\sqrt{58}$

This cannot be simplified.

So, the distance between the two points is √58 or about 7.6 units.

And we're done!

So... where's my cookie :)?

6 0

2 years ago