Evaluate : A.
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B.
B.
1 answer:
Answer:
<h3>A. </h3>- log
= log 3
- x³ log x = log 3
- 3x³ log x = 3 log 3
- x³ log x³ = log 3³
= 3³
- x³ = 3
- x =
- 4ˣ + 6ˣ = 9ˣ
- 2²ˣ + 2ˣ3ˣ = 3²ˣ
<u>Divide both sides by 2²ˣ</u>
- 1 + (3/2)ˣ = (3/2)²ˣ
<u>Substitute (3/2)ˣ = t</u>
- t² - t - 1 = 0
<u>Solve for t:</u>
- t = (1 ± √5)/2
<u>Positive root is considered as (3/2)ˣ can't be negative.</u>
- (3/2)ˣ = (1 + √5)/2
- x = log [(1 + √5)/2] / log (3/2)
- x = 1.18681439028
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Answer:
1) OPTION D.
2) OPTION D.
Step-by-step explanation:
1) You can calculate the surface area of the rectangular prism with the following formula:
Where w is the width, h is height and l is the length.
The figure show you that:
Then, the surface area is:
2) You can calculate volume of the rectangular prism with the following formula:
Where w is the width, h is height and l is the length.
When you substitute values, you obtain the following result:
Answer:
The number of chocolate made donuts is 40 more than cream filed donuts
Step-by-step explanation:
Given as :
The number of chocolate donuts made = 48
The number of chocolate donuts is 6 times the number of cream filled donuts
So, Let the number of cream filled donuts = x
So, number of chocolate donuts made =
∴ = 48
Or, x = = 8
So, the number of cream filled donuts = 8
Now ,
The number of chocolate donuts made - the number of cream filled donuts = 48 - 8 = 40
So , The number of chocolate made donuts is 40 more than cream filed donuts Answer