Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)
Answers
The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
We have to given that,
An expression to simplify,
⇒ (√7)ˣ = 49ˣ⁻⁶
Now, We can simplify the expression for x as,
⇒ (√7)ˣ = 49ˣ⁻⁶
Since, 49 = 7² = (√7)⁴
Hence,
⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶
Apply the multiply rule in exponent,
⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴
By comparing,
⇒ x = 4x - 24
Solve for x,
⇒ x - 4x = - 24
⇒ - 3x = - 24
⇒ 3x = 24
⇒ x = 24 / 3
⇒ x = 8
Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
Learn more about the equation visit:
#SPJ6
Related Questions
Verify the identity Cos^2x-Sin^2x=1-2sin^2x
Please solve and show work
What is the common ratio of the sequence? -2, 6, -18, 54,...
Georgia Preserves is test marketing a new peach-orange marmalade. The following responses were collected from 500 people who were offered samples of the new product at a shopping mall. The marketing department of Georgia Preserves predicted that 300 people would probably buy the product between the present time and next year. Determine the relative error. (Hint: Find the absolute error first.)"I love it! Where can I buy it today?" = 127 responses "I'll probably try it over the next year, sometime." = 162 responses "I'll probably try it, but only if I have a discount coupon." = 153 responses "I don't like this marmalade." = 58 responses
Answers
i know this is really late but its for people here now (like me) the answer would be x= -3 1/9
21/7 + 9/7x - 15/7 = -4.....multiply everything by 7
21 + 9x - 15 = - 28
9x + 6 = -28
9x = -28 - 6
9x = - 34
x = -34/9 or - 3 7/9
Answers
Answers
So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see
Final answer:
First, calculate the z-score for 600 using the provided mean and standard deviation. The result, approximately 1.059, indicates that it lies roughly one standard deviation above the mean. Approximately 15.87% of scores in a normal distribution are more than 1 standard deviation greater than the mean, so we would expect about 15.87% of 7500, or 1190 scores, to be greater than 600.
Explanation:
The question is asking about a phenomenon in statistics called the normal distribution, which is a type of continuous probability distribution often seen in natural parameters such as heights, weights, or scores, as in this case. To find how many scores are greater than 600, we first need to calculate the z-score, which measures how many standard deviations an element is from the mean.
The z-score formula is Z = (X - μ)/σ, where X is the score, μ is the mean, and σ is the standard deviation. In this case, X = 600, μ = 510, and σ = 85. So, Z = (600 - 510)/85 ≈ 1.059.
For a normal distribution, about 15.87% of the data falls more than 1 standard deviation greater than the mean. So, we would expect about 15.87% of 7500 scores to be greater than 600. That means, approximately 1190 scores would be greater than 600.
Learn more about Z-score and Normal Distribution here:
#SPJ3
Answers
Answers
Answers
Answer:
3.261
Step-by-step explanation:
Acceleration is velocity/time
15/4.6=3.261