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2 years ago

Find the slope of a line parallel for y = 2 3 x + 3

Mathematics

1 answer:

torisob [31]2 years ago

7 0

Answer:

2/3

Step-by-step explanation:

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Principle 400 at rate of 5% is

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

do 5% of 400 which gives you 20 for your answer

8 0

4 years ago

In the right triangle above, a = 2.7 and b = 4.3. Find the value of c, rounded to the nearest tenth.

stiks02 [169]

It’s A your welcome

6 0

3 years ago

Read 2 more answers

2(4x -4) + 8x = 2 (8x -3) solve for x please

Brrunno [24]

Answer:

No Solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

2(4x−4)+8x=2(8x−3)

Step 1: Simplify both sides of the equation.

2(4x−4)+8x=2(8x−3)

(2)(4x)+(2)(−4)+8x=(2)(8x)+(2)(−3)(Distribute)

8x+−8+8x=16x+−6

(8x+8x)+(−8)=16x−6(Combine Like Terms)

16x+−8=16x−6

16x−8=16x−6

Step 2: Subtract 16x from both sides.

16x−8−16x=16x−6−16x

−8=−6

Step 3: Add 8 to both sides.

−8+8=−6+8

0=2

Answer:

There are no solutions.

3 0

3 years ago

Radioactive Decay

SpyIntel [72]

Answer:

Percentage of (226Ra) after 900 years is 68%

Step-by-step explanation:

Let P(t) be the amount of (226Ra) present at any time t

Half life of (226 Ra) = 1599 years

If P₀ is initial amount of (226 Ra) then after 1599 years

P(1599)=P₀/2

Decay i amount of radioactive substance is related to time t as

$\frac{dP}{dt}=kP(t)\\\\\frac{1}{P}\,dP=kdt\\\\Integrating\,\, both\,\,sides\\\\ln|P|=kt+c\\\\P(t)=Ce^{kt}\\\\at \,\, t=0\,\, P(0)=P_{o}\\\\P(0)=Ce^{k0}\\\\P_{o}=C\\\\then\\\\P(t)=P_{o}e^{kt}$

To find value of k

$at\,\, t=1599\,years\\\\P(1599)=\frac{P_{o}}{2}\\\\then\\\\\frac{P_{o}}{2} =P_{o}e^{k(1599)}\\\\\frac{1}{2} =e^{k(1599)}\\\\ln|\frac{1}{2}|=k(1599)\\\\k=\frac{ln|\frac{1}{2}|}{1599}=-4.3\times 10^{-3}\\\\\implies P(t)=P_{o}e^{-4.3\times 10^{-3}t}\\\\at\,\, t=900 \\\\P(900)=P_{o}e^{-4.3\times 10^{-3}(900)}\\\\P(900)=0.68P_{o}$

Percentage of radioactive element is:

Amount after 900 years $=\frac{P(900)}{P_{o}}\times 100\\\\=\frac{0.68P_{o}}{P_{o}}\times 100\%\\\\=68\%$

3 0

3 years ago

Estimate 39 x 52 divided by 3.8 x 4.9

fomenos

estimate = (40 * 50) / (4 * 5)

= 2000 / 20 = 100 (answer)

7 0

4 years ago