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dsp73
3 years ago
13

You and your cousin are walking through the lunchroom when you both trip. Your trays hit the ground and both lunches fly through

the air in parabolic paths until they hit your friend on the top of the head. If your lunches had not landed on your friend’s head, then your hamburger would have landed on the floor 12 feet away and your cousin’s chili would have landed 16 feet away. Your hamburger reaches a height of 13 feet and your cousin’s chili reaches a height of 6 feet. How tall is your friend? Explain.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer: quit

Step-by-step explanation:

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Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500500500 leaves
VARVARA [1.3K]

Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500 leaves. each year thereafter, the number of leaves was 40% more than the year before. let f(n) be the number of leaves on the tree in Mohamed's backyard in the n^th year since he started tracking it. f is a sequence. what kind of sequence is it?

Number of leaves on the tree in first year = 500

The number of leaves was 40% more than the year before.

So rate of increase is 40/100 = 0.4

We use exponential growth formula,

f(n) = a(1+r)^n

Where a is the initial number, r is the rate of growth, n is the number of years

We know a= 500, r= 0.4

f(n) = 500(1+0.4)^n

f(n) = 500(1.4)^n

Plug in n=1,2,3...

f(1) = 500

f(2) = 500 * 1.4^1

f(3) = 500 * 1.4^2 and so on

From this we can see that the common ratio is 1.4

Hence it is a Geometric sequence.

8 0
3 years ago
Read 2 more answers
A submarine's position is 600 feet below sea level. It descends 218 feet. What is the submarine's new elevation?
ollegr [7]

Answer with explanation:

If Submarine position is 600 feet below sea level, it can be represented in terms of integers as = - 600

Now , it descends 218 feet ,from where it is presently Located.

Descend in terms of integers can be represented as = - 218 feet

Submarine New position or Elevation = - 600 feet + (-218 feet)

                                            = -818 feet

Option A : -818 feet

6 0
4 years ago
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Match each operation involving f(x) and g(x) to its answer
eimsori [14]

Answer:

(g-f) (-1)= sqrt(15)

(f/g)(-1)= 0

(g+f)(2)=sqrt(3)-3

(g*f)(2)=-3*sqrt(3)

Step-by-step explanation:

We have to eval the expressions given in the point indicated.

Lets start by the first equation

(g-f)(-1)= g(-1) - f(-1)= \sqrt{11-4*(-1)}    - 1 +(-1)^{2} = \sqrt{15}

Now, lest continue with the others

(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0

(g+f)(2)=g(2)+f(2)=sqrt(3)-3

(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)

3 0
3 years ago
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What is 676,547 rounded to the nearest ten thousand?
alisha [4.7K]
680,000 is the answer
3 0
3 years ago
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Find the range of f(x) = -x + 4 for the domain (-3,-2,-1,1).
timofeeve [1]
The domain: D={-3;-2;-1; 1}

f(x) = -x + 4

subtitute

f(-3) = -(-3) + 4 = 3 + 4 = 7
f(-2) = -(-2) + 4 = 2 + 4 = 6
f(-1) = -(-1) + 4 = 1 + 4 = 5
f(1) = -1 + 4 = 3

Answer: The range: {3; 5; 6; 7}
4 0
3 years ago
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