All categories

3 years ago

Tell me please I need help with this one guys pleaseee thanks you so much :()))

Mathematics

1 answer:

siniylev [52]3 years ago

7 0

A. At the very end
B.one more away from that
C.on the left

You might be interested in

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

Classify the slope of the line abovE

gtnhenbr [62]

Answer:

Step-by-step explanation: where’s the slope

6 0

2 years ago

How did Katherine Johnson’s work in math affect us today?

Kamila [148]

Answer:

she made electronic calculating machines in order to calibrate rockets and make everything more precise

Step-by-step explanation:

7 0

3 years ago

A jet flew from New York to Los Angeles, a distance of 4,200 kilometers. Then it completed the return trip.

ivolga24 [154]

Answer:

the answer of this qst is A

7 0

3 years ago

What is the decimal for 7/11

kherson [118]

Answer:

.6363 repeating

Step-by-step explanation:

5 0

3 years ago