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MAVERICK [17]
3 years ago
13

Solve for x. 5^11x=25^x+9

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0
   
\displaystyle\\
5^{11x}=25^{x+9}\\\\
5^{11x}=\Big(5^2\Big)^{x+9}\\\\
5^{11x}=5^{2(x+9)}\\\\
11x = 2(x+9)\\\\
11x = 2x+18\\\\
11x - 2x = 18\\\\
9x = 18\\\\
x =  \frac{18}{9} = \boxed{2}



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The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term, but a
Tom [10]

Answer:

H₀: µ ≤ $8,500; H₁: µ > $8,500

z= +1.645

Step-by-step explanation:

From the given problem  As average cost of tuition and room and board at a small private liberal is less than the financial administrator As hypothesis is true.

As standard deviation is $ 1,200

α = 0.05

H₀: µ ≤ $8,500

if the null hypothesis is true then value for critical z is +1.645.

6 0
3 years ago
$5000 dollars is borrowed for 3 months at an annual interest rate of 18%. How much interest must be paid?
PIT_PIT [208]

Answer:

Step-by-step explanation:

18:12*3=4,5

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7 0
3 years ago
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babymother [125]

Answer:

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4 0
3 years ago
Harrison is buying a bicycle for $340. What amount of sales tax must he pay if the sales tax rate is 7%?
Minchanka [31]
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6 0
3 years ago
I think the first answer is x > 4, but I'm not sure, I need help with that. I don't know if there even is a second answer or
STALIN [3.7K]
Hi again!

|2x - 3| - 1 > 4

|2x -3| > 4 + 1

|2x -3|  > 5

Now let's solve the absolute value

We know either 2x -3 >5 or 2x -3<-5

Let's solve the first possibility

2x - 3 > 5

2x > 5+ 3

2x > 8

x > 8/2

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Now solve the second possibility

2x - 3 < -5

2x < -5 + 3

2x < -2

x < -2/2

x< -1

Thus the correct answer is x > 4 or x < -1

I used an online graphing calculator

I hope this helps again!

4 0
4 years ago
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