Answer:
p=38
Step-by-step explanation:
hope that helps!
Answer:
Step-by-step explanation:
We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.
First of all we will find the area of globe using area of sphere formula.
, where r represents the radius of sphere.
Since diameter is 2 times the radius, so the radius of our given globe will be:
Since 27 square inches does not need to be painted, so the area we must cover with paint will be:
Upon rounding our answer to nearest hundredth we will get,
Therefore, we must cover 319.36 square inches with paint.
Answer:
63/5 or 12 (3/5)
Step-by-step explanation:
It is 8 whole (1 ÷ 5) plus 4 whole (2 ÷ 5)
So,we can write it as 8 (1/5) + 4 (2/5)
Then we will take those mixed fractions to improper fractions by using the rule of multiplication.
8 will be multiplied by 5 and then the value will be added to 1. Same rule will be applied for the second fraction.
(41÷5) + (22÷5)
Now we will take L.C.M. (Least common multiple) for both denominators 5 and 5. The L.C.M of 5 and 5 = 5
(41 + 22)/5
= 63/5
It is the answer. Also we can make this improper fraction into mixed fraction by dividing the whole number by 5.
12 (3/5)
Answer:
f(x) = (x +4)(x -1)(x -2)²
Step-by-step explanation:
The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.
Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:
f(x) = (x -(-4))(x -2)(x -1)(x -2)
f(x) = (x +4)(x -1)(x -2)²
_____
<em>Additional comment</em>
When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.