There is no question.
For lines are parallel, graphs : they must have same gradients as every points. Geometry: prove using alternate angles, corresponding angles or interior angles
For lines are perpendicular, graphs: their gradients multiply to give -1. Geometry: they form a right angle
Answer:
10.23 miles
Step-by-step explanation:
1 hour = 3600 seconds
54000 ft = 10.23 miles
Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
Answer:
we have to use the formula of simple interest, which is
I = P r t
Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .
In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .
Substituting the values in the formula, we will get
4840=0.11*11*P4840=0.11∗11∗P
4840=1.21 P4840=1.21P
P=4000
So she invested $4000
Answer:
Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.
____________________
P (strawberry flavored sweet) = 0.8
P (orange flavored sweet) = ?
____________________
Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.
____________________
So,
P (orange flavored sweet) = 1 - P (strawberry flavored sweet)
P (orange flavored sweet) = 
P (orange flavored sweet) = 
____________________
✐ The probability that the sweet is orange flavored is <u>0</u><u>.</u><u>2</u>
____________________
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