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taurus [48]
3 years ago
14

What is the reciprocal of -3 2/7 ? -3 7/2 -23/7 -7/23 3 2/7​

Mathematics
2 answers:
Mila [183]3 years ago
6 0

Answer:

-32/7 = -7/32

Step-by-step explanation:

Nuetrik [128]3 years ago
3 0

Reciprocal of -32/7 = -7/32

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Decide a number by 5 and add 4 to the result
Maru [420]

Answer:

14

Step-by-step explanation:

10 is a multiple of 5

then you just add four


4 0
2 years ago
I am a cube that has a length, width, and height of 1 unit
OlgaM077 [116]
If you would like to know the volume of the cube, you can calculate this using the following steps:

volume = length * width * height
volume = 1 * 1 * 1
volume = 1

The volume of a cube is 1.
6 0
3 years ago
What is the prime factorization of 144?<br> A) 4 x 36<br> OB) 2x6<br> C) 2x32<br> OD 12x12
mezya [45]

Answer:

12x12

Step-by-step explanation:

12x12=144

3 0
3 years ago
Read 2 more answers
Fill in the blanks:
ser-zykov [4K]

Answer:

8943=8\times 1000+9\times 100+4\times 10+3\times 1=8\times 10^3+9\times 10^2+4\times 10^1+3\times 1

So in blanks there will be 8, 9, 4, 3

Step-by-step explanation:

We have given that 8943=.....\times 1000+....\times 100+....10+....1=....10^3+....10^2+....10^1+....1

We have to fill the blanks

We know that 8\times 1000=8000

9\times 100

4\times 10

3\times 1

When we add all then

8000+900+40+3=8943

So in the blanks there will be 8 , 9, 4 , 3

We also know that 8000=8\times 10^3

900=9\times 10^2

40=4\times 10^1

3\times 1=3

So 8943=8\times 1000+9\times 100+4\times 10+3\times 1=8\times 10^3+9\times 10^2+4\times 10^1+3\times 1

7 0
3 years ago
A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year. This situation
lubasha [3.4K]

Answer:

This situations represents the depth of the lake after t years.

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount is given by:

D(t) = D(0)(1-r)^t

In which D(0) is the initial amount and r is the decay rate, as a decimal.

A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year.

This means that D(0) = 30, r = 0.02

So

D(t) = D(0)(1-r)^t

D(t) = 30(1-0.02)^t

D(t) = 30(0.98)^t

This situation represents

The depth of the lake after t years.

The rate of growth or decay, r, is equal to

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is times the depth in the previous year.

1 - 0.02 = 0.9

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take between years for the depth of the lake to reach 26.7 meters.

This is t for which D(t) = 26.7. So

D(t) = 30(0.98)^t

26.7 = 30(0.98)^t

(0.98)^t = \frac{26.7}{30}

\log{(0.98)^t} = \log{\frac{26.7}{30}}

t\log{(0.98)} = \log{\frac{26.7}{30}}

t = \frac{\log{\frac{26.7}{30}}}{\log{0.98}}

t = 5.77

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

4 0
2 years ago
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