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ahrayia [7]
3 years ago
7

E^4x-5-e=0 Solve the equation for x

Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

x =  \frac{1}{4}  \times In(5 + e)

Step-by-step explanation:

{e}^{4x}  - 5 - e = 0 \\  {e}^{4x}  = 5 + e \\ 4x = In(5 + e) \\

\boxed{Answer:{\boxed{\green{x =  \frac{1}{4}  \times In(5 + e)}}}}

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Georgia works part-time at a daycare while she is going to college. She earned $160 last week. Georgia worked 12 more hours than
Lelu [443]

Answer:

B. $8

Step-by-step explanation:

Given:

Total payment, T = $160

Hourly rates = $t/hour

= total payment/total time worked

The question said, "worked 12 more hours than the amount she is paid per hour".

Total time worked = (12 + t) hour

Therefore, Hourly rates of payment, t = 160/(12 + t)

t^2 + 12t - 160 = 0

Solving the above quadratic equation,

t = -20 and 8

t = $8

3 0
3 years ago
A line contains the point (4, 2) and has a slope of −3.
Naya [18.7K]

Answer: the equation is y = - 3x + 14

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the straight line.

The slope of the given line is - 3 and it contains the point (4, 2)

To determine the y intercept, we would substitute m = - 3, x = 4 and

y = 2 into y = mx + c. It becomes

2 = - 3 × 4 + c

2 = - 12 + c

c = 12 + 2

c = 14

The equation becomes

y = - 3x + 14

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=n%20-%205%20%5Cleqslant%205n%20-%201" id="TexFormula1" title="n - 5 \leqslant 5n - 1" alt="n -
ANTONII [103]
Hello there!

n - 5 ≤ 5n - 1

Solve for n

Let's start by subtracting 5n from both sides

n - 5 - 5n ≤ 5n - 5n - 1

n - 5 - 5n ≤ -1

We need to transfer -5 on the other side, we can do that by adding 5 on both sides

n - 5 - 5n + 5 ≤ -1 + 5

n - 5n ≤ -4

-4n ≤ -4

Finally divide both sides by -4

-4n/-4 ≤ -4/-4

n ≥ -1   (This is the answer)!

Do you know why I changed the sign?


 A lot of students failed to remember that rules, which is:
When you are solving an inequality, if you divide both sides by a negative sign, you MUST change the symbol as well. If it was this <, it will change to this >. Got it? Cool!



I hope the steps are clear to understand. If you have questions, feel free to let me know...

As always, I am here to help!
7 0
4 years ago
Express a ratio in the form of 1:n<br> 5:45
Radda [10]

Answer:

1:9

Step-by-step explanation:

you divide both sides by the right number

for example the right number in this one is 5 so u divide 5 by it self and 5 by 45 to get your answer

6 0
2 years ago
My bathtub holds 21 gallons of water. How many pints of tomato juice do i need to fill my tub?
Alchen [17]

Answer:

168

Step-by-step explanation:

21 x 8 pints in a gallon is 168

7 0
3 years ago
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