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miskamm [114]
3 years ago
14

A hackberry tree has roots that reach a depth of

Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is  

(6.4167 +18.28) = 24.6967 meters (Answer)

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After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounceAfter the first bounce it reac
kap26 [50]

Answer:

8 inches.

Step-by-step explanation:

In the first bounce, the height that the ball reaches was 125 inches.

If the ball always bounces back to \frac{2}{5} of the height, then after 2nd bounce it will reach (125 \times \frac{2}{5}) = 50 inches height.

Again, after 3rd bounce, it will reach (50 \times \frac{2}{5}) = 20 inches height.

And, after 4th bounce, it will reach (20 \times \frac{2}{5}) = 8 inches height. (Answer)

8 0
3 years ago
Evaluate the expression for a = 5, b = 11, and c = 3. 2a + 2c(b − 5) A. 64 B. 46 C. 54 D. 163
Artemon [7]

2a +2c(b-5)

substitute a=5 b=11 c=3

2(5) +2(3) (11-5)

10+6(6)

10+36

46

Choice B


8 0
2 years ago
Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in
UNO [17]

Answer:

rate\ of\ increase = 28.8\ billion\ dollars\ per\ year

model: y = 28.8(t-2003) + 2

profit in year 2017: y =  405.2\ billion\ dollars

Step-by-step explanation:

The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

rate\ of\ increase = (146 - 2)/5 = 144 / 5 = 28.8\ billion\ dollars\ per\ year

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

y = ax + b

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

y = 28.8(t-2003) + 2

In the year 2017, we would have:

y = 28.8(2017-2003) + 2

y = 28.8*14 + 2

y =  405.2\ billion\ dollars

6 0
3 years ago
9.375, 9.75, 9.125 or 9.5 can you help me list each one from greatest to least
FrozenT [24]

greatest to least:

9.75, 9.5, 9.375, 9.125

3 0
3 years ago
Mr green makes some compost he mixes soil, manure and leaf mould in the ratio 3:1:2 mr greenmakes 72 literes of the compost. How
love history [14]

Answer:

36\ liters\ of\ soil

Step-by-step explanation:

we know that

The ratio of soil, manure and leaf mould is 3:1:2

That means

For every 6 liters of the compost, he use 3 liters of soil

so by proportion

Find how many liters of soil does he use for 72 liters of compost

\frac{3}{6}=\frac{x}{72}\\ \\x=3*72/6\\ \\x=36\ liters\ of\ soil

8 0
3 years ago
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