Answer:
4.229
Step-by-step explanation:
75 = 4(2)^x
75/4 = 2^x
Apply ln both sides
ln(75/4) = ln(2^x)
ln(75/4) = x ln(2)
x = ln(75/4) ÷ ln(2)
x = 4.22881869
35 = 70%
If you divide 35 by 7, you will find what 10% of your maximum bid is.
35/7 = 5
5 = 10%
Multiply your value of 10% by 10 to get 100%.
5*10 = 50
Your maximum bid would be $50. You actually spend $35. To find the amount more you were willing to pay, subtract the two values.
$50-$35 = $15
Answer: You were willing to pay 15 more dollars than you did.
Step-by-step explanation:
First, the pizza is 18 inches in diameter, so

and, because the radium is half of the diameter,

<u>Note that the units are inches.</u>
Using the equation

where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is

where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.
Answer:
(-4,2) belongs in this direct variation.
Step-by-step explanation:
Let the direct variation relationship is expressed by the equation y = mx ........ (1), where x and y are in direct variation and k is the variation constant.
Now, the point (4,-2) is included in the direct variation relationship, then from equation (1) we get, -2 = 4m
⇒
Therefore, the equation (1) becomes
⇒ x + 2y = 0 ......... (2)
Now, from the given four options only the point (-4,2) satisfies the relation (2).
Hence, (-4,2) belongs in this direct variation. (Answer)
Answer:
4
Step-by-step explanation: