Answer:
a) 1/7 liters of petrol is used for each mile
Step-by-step explanation:
Justin fills his car with 40 litres of petrol. After travelling 35 miles it's down to 35 litres.
From the above statement:.
The difference is :
40 litres - 35 liters = 5 liters
Hence:
After travelling 35 miles he used 5 liters
(a) How much petrol does the car use each mile?
This is calculated as:
35 miles = 5 Liters
1 mile = x liters
Cross Multiply
35x = 5 Liters
x = 5/35
x = 1/7 liters
Hence, for each mile, 1/7 liters of petrol is used
Answer:
168 = x
Step-by-step explanation:
mean = u=132
standard deviation =sigma = 20
z score =z=1.8
The formula is
z = (x-u)/ sigma
Substituting what we know
1.8 = (x-132)/20
Multiply by 20
1.8*20 = (x-132)/20 *20
36 = x-132
Add 132 to each side
36+132 = x-132+132
168 = x
A.
f(0)
that is in the range of x<5
so x+4, 0+4=4,
f(0)=4
b.
f(6)
that is in the range of 5<x<7
8
f(6)=8
we know that
The measure of the external angle is the semidifference of the arcs that it covers
so
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
Let
x------> minor arc MN
major arc MN=360-x
substitute in the formula above
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
75.86=(1/2)*(360-x-x)------> 151.72=(360-2x)------>360-151.72=2x
x=104.14°
therefore
the answer is
the measure of arc MN (minor arc) is 104.14°
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Answer:
f(x) = x^6 -10x^5 +89x^4
Step-by-step explanation:
For a given zero p with multiplicity n, one of the factors of the polynomial will be (x -p)^n. If the polynomial has real coefficients, then the complex zeros come in conjugate pairs.
The factored form of your polynomial is ...
f(x) = (x -(5 -8i))(x -(5 +8i))(x -0)^4
f(x) = ((x -5)^2 -(8i)^2)(x^4) = (x^2 -10x +89)(x^4)
f(x) = x^6 -10x^5 +89x^4