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adoni [48]
3 years ago
10

Solve 2(4x+2)=4x–12(x-1)

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0
Simplify
4
x
−
1
2
x
+
1
2
4x−12x+12 to
−
8
x
+
1
2
−8x+1 then ya answer x=1/2
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Thousand and $18.80 per hour for the first 40 hours she works in a week she earns 1 1/2 times that amount per hour for each hour
Anestetic [448]
$5603.40
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3 years ago
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Svetllana [295]

Answer:

B.

Step-by-step explanation:

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a 4/10=5/8=2/5. b 4/8=5/10=1/2. c 10/4=8/5=5/2.

8 0
3 years ago
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It is known that the mass, m(t), of a radio-active substance decreases as it decays, and that the equation governing this is m′(
Murljashka [212]

Answer:

m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ

Half-Life = 46.21 years.

Step-by-step explanation:

Radioactive reactions always follow a first order reaction dynamic

Let the initial mass of radioactive substance be m₀ and the mass at any time be m

(dm/dt) = -Km (Minus sign because it's a rate of reduction)

The question provides K = 0.015 from the given differential equation

(dm/dt) = -0.015m

(dm/m) = -0.015dt

 ∫ (dm/m) = -0.015 ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from m₀ to m and the Right hand side from 0 to t.

We obtain

In (m/m₀) = -0.015t

(m/m₀) = (e^(-0.015t))

m = m₀ e^(-0.015t)) = m₀ e⁻⁰•⁰¹⁵ᵗ

m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ

At half life, m(t) = (m₀/2), t = T(1/2)

(m₀/2) = = m₀ e⁻⁰•⁰¹⁵ᵗ

e⁻⁰•⁰¹⁵ᵗ = (1/2)

In e⁻⁰•⁰¹⁵ᵗ = In (1/2)

-0.015t = - In 2

t = (In 2)/0.015

t = (0.693/0.015)

t = 46.21 years

Half life = T(1/2) = t = 46.21 years.

Hope this Helps!!!

7 0
3 years ago
If 35% of a number is 17.5, what is 90% of the<br> number?
mrs_skeptik [129]

Answer:

45

Step-by-step explanation:

35%=0.35

0.35x=17.5

x=17.5/0.35=50

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erik [133]
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20(2z-1)
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3 years ago
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