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kykrilka [37]
2 years ago
14

Two friends decide to go on a four hour ride on off road vehicles through mountainous terrain the graph represents their elevati

on in hundreds of feet as a function of time in hours the ride started 2000 feet above sea level so for the purpose of this problem assume the x-axis represents an elevation of 2000 feet find the key features of the graph fine the extrema zeros end behavior increasing and decreasing intervals and positive and negative intervals
Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
8 0

Answer:

Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)

Zeros: (0,0), (2,0), and (4,0)

End behavior: As x approaches infinity, the function approaches negative infinity. As x approaches negative infinity, the function approaches negative infinity.

Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)

Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)

plato answer

Step-by-step explanation:

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Oil is leaking from a broken pipeline into a lake. In the first 10 minutes, 400 gallons of oil have leaked, covering 8000 square
serg [7]

Answer:

800 square feet per minute

Step-by-step explanation:

7 0
2 years ago
Pedro grew 4 1/3 inches during a 3 1/2 month growth spurt. If his growth spurt continued at the same rate how much did he grow i
irina [24]
4 1/3 divided by 3 1/2. Ok, I got this..... I'm really bad at math but i'll try lol.
I used a calculator and got 1.2380952381. ha i'm guessing this is wrong but I don't have anything else.

3 0
2 years ago
Which equation finds the volume of a cube with a side length of 2 n Superscript 6 units?
elena-14-01-66 [18.8K]

Answer:

Volume of the cube: 8n^{18}

Step-by-step explanation:

A cube is a solid figure consisting of 6 squared faces arranged in a structure at right angle with each other.

The volume of a cube is given by:

V=L^3

where

V is the volume

L is the length of one side of the cube

In this problem, the length of the side of the cube is

L=2n^6

Therefore, the volume of the cube is

V=(2n^6)^3 = 2^3 (n^6)^3 = 8n^{18}

7 0
2 years ago
Read 2 more answers
There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, an
ollegr [7]

Answer:

369 students have taken a course in either calculus or discrete mathematics

Step-by-step explanation:

I am going to build the Venn's diagram of these values.

I am going to say that:

A is the number of students who have taken a course in calculus.

B is the number of students who have taken a course in discrete mathematics.

We have that:

A = a + (A \cap B)

In which a is the number of students who have taken a course in calculus but not in discrete mathematics and A \cap B is the number of students who have taken a course in both calculus and discrete mathematics.

By the same logic, we have that:

B = b + (A \cap B)

188 who have taken courses in both calculus and discrete mathematics.

This means that A \cap B = 188

212 who have taken a course in discrete mathematics

This means that B = 212

345 students at a college who have taken a course in calculus

This means that A = 345

How many students have taken a course in either calculus or discrete mathematics

(A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369

369 students have taken a course in either calculus or discrete mathematics

4 0
2 years ago
What is the length of line segment LJ?<br>9 units<br>12 units<br>15 units<br>18 units​
Agata [3.3K]

Answer: LJ = 15 units

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3. What is the length of line segment LJ? 9 units 12 units 15 units 18 units

Step-by-step explanation:

See attached image for more information about the question.

Given;

JM = 3

KM = 6

Using Pythagoras theorem, we can solve for JK

JK^2 = JM^2 + KM^2

JK^2 = 3^2 + 6^2

JK = √(9+36)

JK = √45 = 3√5

Secondly, let x represent angle KJM

cosine = adjacent/hypothenus

cosx = JM/JK = JK/JL

JM/JK = JK/JL

Substituting the values

3/3√5 = 3√5/JL

JL = 3√5 × 3√5/3

JL = 3√5 × √5

JL = 15

JL = LJ = 15 units

4 0
2 years ago
Read 2 more answers
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