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Anastaziya [24]
3 years ago
7

What is the average rate of change of the amount of the element over the 10-minute experiment? *

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

-2.7  g/min

Step-by-step explanation:

Given: a graph

To find: the average rate of change of the amount of the element over the 10-minute experiment

Solution:

A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.

From the graph,

change in x (time) = 10-0=10 minutes

change in y ( amount of the element) = 3.22-30=-26.78 g

So, average rate of change = \frac{-26.78}{10} =-2.7  g/min

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If a leaf on the ground is 80 feet from the base of a tree, and the angle of elevation to the top of the tree from the leaf is 4
rusak2 [61]

Answer:

82.8424 feet

Step-by-step explanation:

The leaf, the base of the tree and the top of the tree form a triangle.

The adjacent cathetus to the 46 degrees angle is 80 feet. The opposite cathetus to the 46 degrees angle is the tree height that we want to know. So, using the relation between the opposite cathetus and the adjacent cathetus (so the tangent of the angle), we can find the tree height (h):

tan(46) = h/80 = 1.0355

h = 80*1.0355 = 82.8424  feet

6 0
3 years ago
Read 2 more answers
Is -4 an even or odd numnber?
rewona [7]

Answer:

An even number

Step-by-step explanation:

Integers which are multiples of 2, are even numbers.

Integers which aren't multiples of 2, are odd numbers.

As integers can be positive and negative both, odd and even numbers also can be positive and negative.

7 0
3 years ago
Create an equation to solve for x using the trapezoid midsegment formula:
Serggg [28]

Answer:

Equation for x:    3x - 6 = \frac{2x - 1 + 25}{2}

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = \frac{CD + FE}{2}

3x - 6 = \frac{2x - 1 + 25}{2}

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

4 0
3 years ago
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Jobisdone [24]

Answer:

y = (-8/9)x + 0.77777

Step-by-step explanation:

We already know the slope, so the only thing left to find is the y-intercept.

To find the y-intercept, we can <u>plug in the slope and point to the slope-intercept form equation</u> (y = mx+b, where m=slope and b=y-int.)

y   =     m *  x    + b

(7) = (-8/9)*(-7)   + b

<u>Now, just solve for b!</u>

(7) = (-8/9)*(-7)   + b

7 = 56/9 + b

7 - (56/9) = b

b = 0.777777 (repeating decimal, usually signified by a little line above the 7)

so now we just <u>plug in the slope and y-intercept we found into y = mx + b.</u>

y = mx + b

y = (-8/9)x + 0.77777

5 0
3 years ago
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Suppose Aldo borrows $5500 at an interest rate of 9% compounded each year assume that no payments are made on the loan how much
ollegr [7]
11,990

9% of 5500 is 495
(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.
3 0
3 years ago
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