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Rom4ik [11]
3 years ago
11

The water level in a lake was monitored and was noted to have changed −1 1/5 inches in one year. The next year it was noted to h

ave changed −1 3/10 inches.
What was the total change in the water level over the two years?

Enter your answer as a simplified mixed number by filling in the boxes.

$$
in.
Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

the answer is 5 1/9 inches per month (answer)

Step-by-step explanation:

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20 POINTS AND BRAINLIEST!! Write an exponential function in the form y=ab^x
Rudik [331]

Answer:

y=13(4)^x

Step-by-step explanation:

We have the exponential function of the form:

y=ab^x

And it goes through the points (0, 13) and (3, 832).

Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

13=ab^0

Since anything to the zeroth power is 1, this yields:

a=13

So, we determined that the value of a is 13.

So, our function is now:

y=13b^x

We will need to determine b. We know that y equals 832 when x is 3. Hence:

832=13(b)^3

Divide both sides by 13:

b^3=64

Take the cube root of both sides:

b=4

Hence, our b value is 4.

Therefore, our entire equation is:

y=13(4)^x

3 0
3 years ago
A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original
Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

  • The initial value is b = 14500.
  • The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
2 years ago
The diagram shows triangle ABC.
const2013 [10]

Answer:

Step-by-step explanation:

5 0
2 years ago
A semi-circle window can be used above a doorway or as an accent window
anzhelika [568]

A semicircle is a part of a circle, and it is referred to as half of a given circle. Thud the area of the <em>semi-circle</em> window is 982 in^{2}.

A circle is a shape that is <u>bounded</u> by a <em>curved</em> path which is referred to as the <em>circumference</em>. Some <u>parts</u> of a circle are radius, diameter, sector, arc, semi-circle, circumference, etc.

A <em>semicircle</em> is a <u>part</u> of a <u>circle</u>, and it is referred to as <em>half </em>of a given <em>circle</em>.

such that:

<em>Area</em> of a <u>circle</u> = \pi r^{2}

and

area of a <u>semicircle</u> = \frac{\pi r^{2} }{2}

where: r is the <u>radius </u>of the <u>circle</u>, and \pi is a <u>constant </u>with a value of \frac{22}{7}.

Thus from the given question, it can be inferred that;

r = \frac{50}{2}

 = 25

r = 25 in

Thus, the area of the<em> semi-circle</em> can be determined as;

area of the <em>semi-circle</em> = \frac{1}{2} * \frac{22}{7} * 25^{2}

                                      = 982.1429

area of the semi-circle = 982.14 in^{2}

The area of the <em>semi-circle</em> window is approximately 982 in^{2}.

for more clarifications on the area of a semi-circle, visit: brainly.com/question/15937849

#SPJ 1

8 0
2 years ago
(a+b)²=d<br> Isolate a on one side
PilotLPTM [1.2K]

Answer:

a=sqrt(d)-b, a=-sqrt(d)-b

Step-by-step explanation:

(a+b)^2=d

(a+b)=sqrt(d)

a+b=sqrt(d), a+b=-sqrt(d)

a=sqrt(d)-b, a=-sqrt(d)-b

8 0
3 years ago
Read 2 more answers
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