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SashulF [63]
3 years ago
5

What is w when 7(w-3)= -4w+1

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
The answer for your question is w= 2
klasskru [66]3 years ago
7 0
Hello I hope this helps you the answer is 2
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Select whether the equation has a solution or not.<br> - 16x+ 1 -5 = -7 - 1/3x+ 1
Lera25 [3.4K]

Answer:

The equation does have a solution

x= 6/47

Step-by-step explanation:

❤️Hope This Helps❣️

8 0
3 years ago
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be
Travka [436]

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt}      (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k}  - \frac{C"}{k} e^{kt}

When t = 0, A(0) = 0 (since the forest floor is initially clear)

A = \frac{L}{k}  - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{0}\\\frac{L}{k}  = \frac{C"}{k} \\C" = L

A = \frac{L}{k}  - \frac{L}{k} e^{kt}

So, D = R - A =

D = \frac{L}{k} - \frac{L}{k}  - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}

when t = 0(at initial time), the initial value of D =

D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}

4 0
3 years ago
7 and 12 Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) (30 Po
goldfiish [28.3K]

Answer:

Angle Y = 35.69 degrees

Step-by-step explanation:

We can use some simple trigonometry to help us out. Here we know that side 7 is the opposite side relative to angle y, and  12 is the hypotenuse.

We think what trig ratio involves comparing opposite and hypotenuse. Sine is opposite over hypotenuse and we can set up a equation to solve.

Sine (Angle Y) = Opposite Side / Hypotenuse

Sine (Angle Y) = 7/12

(Angle Y) = Sine inverse (7/12)

Angle Y = 35.69

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2 years ago
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Answer:

(B) is the answer according to my calculations

Step-by-step explanation:

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Olenka [21]
2.134 x 10^4 is equal to 21,340
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3 years ago
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