Answer:
Below in bold.
Step-by-step explanation:
Radius of the pizza = 1/2 * 8 = 4 in.
Area of the whole pizza = π r^2
= π * 4^2
= 8 π
So if you take 1/8 away
the area left = 7/8 * 8 * π
= 7π
Taking π to be 22/7:
= 7 * 22/7
= approximately 22 in^2.
Answer:
11.57 units east, 13.79 units upwards
11.57i + 13.79j
Step-by-step explanation:
V = 18 units at an angle of 50° to the positive x-axis
In component Form, this is how each component is calculated
a = 18cos50° = 11.57 units east
b = 18sin50° = 13.79 units upwards
check if your answer is correct
In vector component form ai + bj = 11.57i + 13.79j
Let z = √(x^2 +2x +4).
Then your expression becomes
y = (z^2)^z
y = z^(2z)
And the derivative with respect to x is
y' = z^(2z)*(2z' +2ln(z)z')
= (2z')(1 +ln(z))(z^(2z))
Now
z' = (2x +2)/(2√(x^2 +2x +4)
= (x +1)/√(x^2 +2x +4)
So, your derivative is
y' = 2(x +1)/√(x^2 +2x +4) * (1 + (1/2)ln(x^2 +2x +4)) * (x^2 +2x +4)^√(x^2 +2x +4)
For x = 0, this becomes
2(1)/√4 * (1 +(1/2)ln(4)) * 4^√4
= 16*(1 + ln(2))
Answer:
500,000
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
Expanded Factors Form:
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Expanded Exponential Form:
5 × 105
+ 0 × 104
+ 0 × 103
+ 0 × 102
+ 0 × 101
+ 0 × 100
Word Form:
five hundred thousand
Step-by-step explanation:
Answers above..
Hello! So the original price is $120. It has a discount rate of 20%. You still pay 80% of the price, because 100 - 20 is 80. When we are looking for the sale price after the discount, we always mulitply the original amount by the percent of the price left to pay, after subtracting the discount from 100%. All we have to do is multiply 120 by 80% (0.8). 120 * 0.8 is 96. There. The sale price is $96. The answer is D: $96.
