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saul85 [17]
2 years ago
12

We can calculate the depth ddd of snow, in centimeters, that accumulates in Harper's yard during the first hhh hours of a snowst

orm using the equation d=5hd=5hd, equals, 5, h. How many hours does it take for 111 centimeter of snow to accumulate in Harper's yard? hours How many centimeters of snow accumulate per hour? centimeters
Mathematics
2 answers:
Scorpion4ik [409]2 years ago
6 0

Answer:

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard = (1/5) hour = 0.20 hour

b) Centimetres of snow that accumulate per hour = 5 cm

Step-by-step explanation:

Complete Question

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.

a) How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? hours

b) How many centimeters of snow accumulate per hour? centimeters

Solution

The depth of snow, d, in centimetres that accumulates in Harper's yard in h hours is given d = 5h

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard.

d = 5h

d = 1 cm

h = ?

1 = 5h

h = (1/5) = 0.20 hour

b) Centimetres of snow that accumulate per hour.

d = 5h

In 1 hour, h = 1 hour

d = ?

d = 5 × 1 = 5 cm

Hope this Helps!!!

vodomira [7]2 years ago
3 0

Answer:

1/5 hours

5 centimeters

Step-by-step explanation:

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blagie [28]

Well, how many minutes are there in a year? It would be way too easy to  say "too many".

First, we calculate minutes in a day, which is 60 x 24 (minutes in an hour x number of hour)

This equals 1440. There are 365 days in a year, so we multiply 365 by 1440, which equals 525,600

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4106.25 gallons of water are wasted in a year

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2 years ago
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Let m,n,p, and q represent nonzero positive integers. find a number in terms of m,n,p, and q that is halfway between m/n and p/q
alukav5142 [94]
This is the same as averaging. You add them and divide by 2.

((m/n) + (p/q))/2 would be a number in between m/n and p/q.

Do note that n and q must be nonzero, but luckily that is a given.
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2 years ago
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f1(x) = ex, f2(x) = e−x, f3(x) = sinh(x) g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the int
eimsori [14]

Answer:

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

Step-by-step explanation:

Given

f1(x) = e^x

f2(x) = e^(-x)

f3(x) = sinh(x)

g(x) = 0

We want to solve for C1, C2 and C3, such that

C1f1(x) + C2f2(x) + C3f3(x) = g(x)

That is

C1e^x + C2e^(-x) + C3sinh(x) = 0

The hyperbolic sine of x, sinh(x), can be written in its exponential form as

sinh(x) = (1/2)(e^x + e^(-x))

So, we can rewrite

C1e^x + C2e^(-x) + C3sinh(x) = 0

as

C1e^x + C2e^(-x) + C3(1/2)(e^x + e^(-x)) = 0

So we have

(C1 + (1/2)C3)e^x + (C2 + (1/2)C3)e^(-x) = 0

We know that

e^x ≠ 0, and e^(-x) ≠ 0

So we must have

(C1 + (1/2)C3) = 0...........................(1)

and

(C2 + (1/2)C3) = 0..........................(2)

From (1)

2C1 + C3 = 0

=> C3 = -2C1.................................(3)

From (2)

2C2 + C3 = 0

=> C3 = -2C2................................(4)

Comparing (3) and (4)

2C1 = 2C2

=> C2 = C1

Let C1 = C2 = K

C3 = -2K

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

3 0
2 years ago
Identificati,prin verificare,ecuatia pentru care numarul x=3 este solutia
elena-s [515]

Answer:

concluzionăm că nu există o ecuație care să poată justifica valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

Step-by-step explanation:

Urmează să aflăm din cele trei opțiuni date, care este una dintre opțiuni care rezultă în x = 3

Să rezolvăm opțiunea una după cealaltă pentru a deduce și determina care este răspunsul corect și corect.

a) -2*x + 3 = 9

-2x = 9 -3

-2x = 6

Împărțiți ambele părți la -2

x = 6/-2

x = -3

b) -4*x +5 = 7

-4x = 7 -5

-4x = 2

Împărțiți ambele părți la -4

x = \dfrac{2}{-4} \\ \\  \\ x= \dfrac{1}{-2}

c) \dfrac{1}{3}*x -8 =9

\dfrac{1}{3}x = 9 +8

\dfrac{1}{3}x =17

Înmulțiți ambele părți cu 3

x =17*3

x = 51

Prin urmare; concluzionăm că nu există o ecuație care să justifice valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

5 0
2 years ago
A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 centimeters. What are the lengths of the other th
kari74 [83]

Answer:

a kite has 2 short sides and 2 long sides. The 2 short sides are equal. The 2 long sides are also equal. This means that the other short side is 16cm. And the remaining longer sides can be found like this:

let's pretend *y* is the long side

2*y = 70 - 16 - 16. (two of the long sides = 70 - short side - another short side)

so use algebra to find y.

2*y = 38

y = 19 so the long sides are both 19cm each

Your final answer: 16cm, 19cm, 19cm

5 0
2 years ago
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