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Bumek [7]
2 years ago
9

The floor of a canyon has an elevation of −14.5−14.5 feet. Erosion causes the elevation to change by −1.5−1.5 feet per year. How

many years will it take for the canyon floor to have an elevation of −31−31 feet?
Mathematics
1 answer:
Alona [7]2 years ago
4 0
<span>The canyon starts at an elevation of (-14.5). After each year, the elevation drops by (-1.5). The equation that could be written for this, then, would be (-14.5 - 1.5x = -31). First, we could add 14.5 to both sides of the equation to isolate the unknown. This would leave -1.5x = -16.5. Next, we can remove the negative signs so both sides of the equation are positive and easier to work with. This leaves 1.5x = 16.5. Finally, dividing both sides by 1.5 gives us "x = 11", which means that after 11 years, the canyon floor will be at -31 feet.</span>
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If the diameter of a smaller circle is 7 km and the width of the circular path is 0.5 km, find the area of the path.
Strike441 [17]

We have been given that the diameter of a smaller circle is 7 km and the width of the circular path is 0.5 km. We are asked to find the area of the path.

The area of the path will be equal to area of larger circle minus area of smaller circle.

\text{Area of circle}=\pi r^2, where r represents radius of circle.

We know that radius is half the diameter, so radius of smaller circle would be \frac{7}{2}=3.5 km.

The radius of the larger circle will be radius of smaller circle plus width of the path that is 3.5+0.5=4 km.

\text{Area of circular path}=\pi (4)^2-\pi (3.5)^2

\text{Area of circular path}=16\pi-12.25\pi

\text{Area of circular path}=3.75\pi

\text{Area of circular path}=11.78097

\text{Area of circular path}\approx 11.8

Therefore, the area of the circular path is approximately 11.8 square km.

4 0
2 years ago
John Smith made a one year investment that generated a nominal return of 6% or $3000. The real return was $2000. What was the or
nata0808 [166]

The nominal value - without discounting the inflation rate - of income was $ 3000.

If the interest rate was 6%, a rule of three is enough to find the value of the original investment.

3000 - 6%

x - 100%

x = 50,000

The value of the investment was $ 50,000

In this case, the inflation rate also requires a simple calculation.

Inflation corroded $ 1000 dollars of income of $ 3000

Therefore the inflation rate will be 1000/3000 = 33.3%

3 0
2 years ago
Chicken eggs can be categorized as large if they weigh at least 2 ounces. Clare weighs 48 large eggs and finds that they have a
weqwewe [10]

Answer:

0.08 ounces is interpreted as the Mean Absolute Deviation and this means that

the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces.

Step-by-step explanation:

Mean Absolute Deviation of a data set is defined as the distance or the deviation between a given data set and the calculated mean.

Mean Absolute Deviation tells us about how much a data set varies from it's mean.

From the above question, we are told that after weighing 48 eggs we have a mean of 2.1 ounces and mean deviation of 0.08 ounces

Therefore this means that the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces

6 0
2 years ago
jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct EXPLAIN
nata0808 [166]
2 3/4 = 11/4
4 1/8 = 33/8
11/4 / 33/8 = 11/4 * 8/33 = 88/132 = 2/3
he mows 2/3 of an acres per hour
3 0
1 year ago
Use a geometric model to factor x2 + 3x + 2 by following<br> these steps
sashaice [31]

Answer:

-1 and -2

Step-by-step explanation:

x ²+3x+2 = 0

We can solve the expression by first factorizing.

Factorizing by splitting the middle term

we look for 2 numbers that when multiplied will be +2 and when added it will be +3

+2 and +1 = +3 and 2 ( these is correct because it is the same as the question asked)

-2 and -1 = -3 and 2

x²+2x+x+2 = 0

x(x+2)+1(x+2) =0

(x+1)(x+2)= 0

x+1 = 0   x+2=0

x= -1,     x= -2

x = -1 and -2

8 0
2 years ago
Read 2 more answers
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