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lisabon 2012 [21]
2 years ago
5

Hi! Thanks for helping

Mathematics
1 answer:
mojhsa [17]2 years ago
8 0

Answer:

x = 44

Step-by-step explanation:

(3x + 30) = 162 (opposite angles are equal )

3x = 162 - 30

x = 132/3

x = 44

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128 fluid ounces equals how many pints
sergejj [24]
I believe the answer is 8 pints.
Hope I help

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3 years ago
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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
3 years ago
What is x + 2/3 = -4
BartSMP [9]

Answer:

x = -14/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

x + 2/3 = -4

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 2/3 on both sides:                    x = -14/3
3 0
3 years ago
Can someone please help me out<br> ASAP I WILL GIVE OUT BRAINLY
SashulF [63]

Answer:

x = 9

Perimeter = 74

Area = 342

Step-by-step explanation:

First, find x. to do so, set your formula up as

18 = 8x - 54

18 + 54 = 8x

72 = 8x

72/8 = x

9 = x

Now that you have x, find your missing side

2x + 1 = y, x

2 * 9 + = y

19 = y

Your perimeter is P = 2(l+W)

P = 2(18 * 19)

P = 74

Your area is A = wl

A = 19 * 18

A = 342

3 0
3 years ago
Read 2 more answers
This is really hard... can anyone help..? Please no wrong answers
kifflom [539]

Answer:

13

Step-by-step explanation:

I believe I answered a similar question, the reasoning behind it is the same.

7 0
3 years ago
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