Answer:
13 miles
Step-by-step explanation:
Add all of the number of miles you ran from each day to get your total mileage.
2+2+3+2+4
f(x)=-2x^2-7x+6
Find f(−3)
Answer:
f(-3) = 9
Step-by-step explanation:
Step 1: Define
f(x) = -2x² - 7x + 6
f(-3) = x = -3
Step 2: Substitute and evaluate
f(-3) = -2(-3)² - 7(-3) + 6
f(-3) = -2(9) + 21 + 6
f(-3) = -18 + 21 + 6
f(-3) = 3 + 6
f(-3) = 9
Substituting x = -3 into the function f(x) = -2x^2 - 7x + 6, we get f(-3) = -33. Therefore, the value of the function at x = -3 is -33.
To evaluate the function f(x)=−2x ^2 −7x+6 at x=−3, substitute −3 for x in the function: f(−3)=−2{(−3) }^2 −7(−3)+6
Now, calculate each part of the expression:
(−3) ^2 is 9 because the square of −3 is 9.
−2 times 9 is −18 because −2⋅9 =−18.
−7 times −3 is 21 because −7⋅−3=21.
Now, plug these values back into the expression:
f(−3)=−18−21+6
Finally, add and subtract:
f(−3)=(−18−21)+6=−39+6=−33
So, f(−3)=−33.
The value of the function
f(x)=−2x^ 2 −7x+6 at x=−3 is −33.
For more questions on function
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b) What is the minimum and maximum number of people that are on neither of these teams?
Let x = number of individuals both in basketball and football
c) Draw a Venn diagram to illustrate this
Answer:
a) min: 0; max: 21
b) min: 34; max: 55
Step-by-step explanation:
In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.
a) In the top diagram, there is no overlap, so the number on both teams is 0.
In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).
both teams minimum: 0; maximum: 21
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b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.
The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.
neither team minimum: 34; maximum: 55
can you put the whole question here
Answer:
As
Step-by-step explanation:
Aaa
Answer:
28.6m
Step-by-step explanation:
this question is very incomplete. it requires a number of assumptions to give an answer. the main one - where is Bryan located relative to Anna ? I assume diametrically on the opposite side of the kite. because he has the steeper angle, it is clear that he is nearer to the kite.
so, I guess, we have to add his distance to the kite to her distance to the kite to get the distance between her and him.
but he could be on any point on a circle around the kite to have the same viewing angle, and we would have no clue about where on that circle.
as the other extreme alternative, he could be on the same line to the kite as Anna. and then we would have to subtract his distance from her distance.
but again, we assume he is exactly on the other side of the kite.
anyway, each person creates a right-angled triangle with the kite:
there is the direct line of sight as the base line or Hypotenuse (c).
there is the line on the ground from the person to the point on the ground directly under the kite as one side.
there is the line representing the height of the kite above ground as the other side. we let this start at the height of the eyes of the watching person.
and we assume that both persons are of the same height (so the height of the kite relative to their eyes is the same for both).
let's start with Anna.
the side a of Anna's triangle is
a = 20m
angle between a and c = 44 degrees
we know the angle between a and b is 90 degrees.
therefore the angle between b and c = 180-90-44 = 46 degrees.
now we use the law of sines :
a/sin(bc) = b/sin(ac) = c/sin(ab)
we know sin(ab) = sin(90) = 1
20/sin(46) = b/sin(44)
b = 20×sin(44)/sin(46) = 19.31... m = height of the kite
now to Bryan.
now we know his b (height of the kite) = 19.32... m
his angle between a and c is 66 degrees.
his angle between a and b is also 90 degrees.
therefore his angle between b and c = 180-90-66 = 24 degrees.
19.31/sin(66) = a/sin(24)
a = 19.31×sin(24)/sin(66) = 8.6 m
based on our assumption that they are standing opposite from each other in relation to the kite their distance is
20 + 8.6 = 28.6m
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Explanation:
The exponent rules are
The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.
We'll keep this in mind for later.
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On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)
Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).
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After using those exponent rules, the original equation turns into
c^(20-x) = c^(-1)
The bases are both c, so the exponents must be equal
20-x = -1
-x = -1-20
-x = -21
x = 21