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Aloiza [94]
3 years ago
15

PLEASE HELPPPPPPPPPPPPPPPPPPPPPP I BEG

Mathematics
2 answers:
kenny6666 [7]3 years ago
7 0

Answer:

I think it's 4/10 which is 0.4

Step-by-step explanation:

bixtya [17]3 years ago
4 0

Answer:

I think the answer is 0.4 or 4/10 as well as the other guy

Step-by-step explanation:

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Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)
zloy xaker [14]

Answer:

A)

k=0

B)

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

C)

\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}

A)

Given that h(1) = 20, we want to find <em>k</em>.

h(1) = 20 means that <em>h</em>(x) = 20 when <em>x</em> = 1. Substitute:

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

Simplify:

1= e^k

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

k=0

B)

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

Likewise, this means that <em>h</em>(x) = 40 when <em>x</em> = 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

C)

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

Again, this meas that <em>h</em>(x) = 10 when <em>x</em> = 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
The exponential model A=302.5e^0.0211 describes the​ population, A, of a country in​ millions, t years after 2003. Use the model
Naddik [55]

The population of the country in 2003 is 302.5 million

<h3>How to determine the population of the country in 2003.</h3>

From the question, we have the following parameters that can be used in our computation:

Exponential model, A = 302.5e^0.0211t

Where i is the number of years after 2003

In the year 2003, the value of t is 0

i.e. 0 years after 2003

So, we have

A = 302.5e^(0.0211 * 0)

Evaluate the products

A = 302.5 * 1

So, we have the following result

A = 302.5

Hence, the population is 302.5 million

Read more about exponential models at

brainly.com/question/27161222

#SPJ1

3 0
1 year ago
I GIVE BRAINLIEST MARKS I SWEAR rational functions, construct table values and sketch the graph of rational functions
Marianna [84]

Answer:

Download math)way it helps I swear

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the slope of the line represented by the table of values.
gladu [14]

Answer:

B) −1/4


Step-by-step explanation:

The slope represents the change in y values divided by the change in x values.  We can use the formula

slope = (y2-y1)/(x2-x1)

(2,4)  (-2,5)

slope = (5-4)/(-2-2)

        = 1/-4

slope = -1/4

5 0
2 years ago
Read 2 more answers
The equation and graph of a polynomial are shown below. The graph reachesits minimum when the value ofx is 4. What is the y valu
olga_2 [115]
The y-value of this minimum is 4 .
6 0
3 years ago
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