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2 years ago

The amount of water used to take a

Mathematics

2 answers:

eduard2 years ago

3 0

Answer:

5.5 gallons

Step-by-step explanation:

Sladkaya [172]2 years ago

3 0

5.5 gallons should be the correct answer

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1. Write the equation for the function graphed<br> below.<br> -10<br> -5<br> 10

Vsevolod [243]

There is no illustration, so it is impossible to answer this question. I apologise.

4 0

3 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 <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:

$k=0$

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:

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

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

PLS HELP ME W/ #8 ASAP

tiny-mole [99]

Answer:

x=2

TU:4(2)-1=7

UB: 3

TB: 10

Step-by-step explanation:

4x-1+2x-1=5x

6x-2=5x

6x=5x+2

subtract 5x from both sides

x=2

TU: (4x-1)

4(2)-1

8-1

TU:4(2)-1=7

UB: (2x-1)

2(2)-1

4-1

UB: 3

TB: 5(2)

TB: 10

7 0

2 years ago

Someone please help me understand how you expand and simplify brackets:(

tatiyna

<h3>(3x-2)(2x²+x+5)</h3><h3>3x (2x²+x+5) -2 (2x²+x+5)</h3><h3>6x³+3x²+15x-4x²-2x-10</h3><h3>6x³+3x²-4x²+15x-2x-10</h3><h3>6x³-x²+13x-10</h3><h3>this is the answer may u like it and hope full it will be the correct</h3>

please mark this answer as brainlist

3 0

2 years ago

(40 points + Brainliest for right answer).

exis [7]

The correct answer is C

8 0

3 years ago