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sergij07 [2.7K]
3 years ago
7

*PLEASE ANSWER* What is the value of d if the volume of Prism f is 99 cubic units?

Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

Answer:

d = 3.46 units

Step-by-step explanation:

The diagram is a rectangular prism.

volume of a rectangular prism = Length × width × height

height = 5.2 units

volume = 99 units³

length = 5.5 units

width = d

Now we need to find the width which is d

volume = L × w × h

99= 5.5 × d × 5.2

99 = 28.6d

then u divide both sides by 28.6

d = 99/28.6

d = 3.4615384615

d = 3.46 units

PLz mark brainliest!

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Write the equation of a line in the slope-intercept form that contains the points A (1, 2) and B (2, 4).
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Answer: Choice A)  y = 2x

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===================================================

Explanation:

We can see this by noting that each y coordinate is simply doubled that of the x coordinate.

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So in general, x doubles to 2x to get the y coordinate. Therefore, y = 2x.

----------

Alternative method:

A more thorough step by step process would have us first finding the slope

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Use this slope value along with one of the points to find b. I'll use the point (x,y) = (1,2)

So,

y = mx+b

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Hey there!

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"You are dating Moon rocks based on their proportions of uranium-238 (half-life of about 4.5 billion years) and its ultimate dec
Olenka [21]

Step-by-step explanation:

a.

Initial mass of the isotope = x

Time taken by the sample to decay its mass by 41% = t

Formula used :

N=N_o\times e^{-\lambda t}\\\\\lambda =\frac{0.693}{t_{\frac{1}{2}}}

where,

N_o = initial mass of isotope  = x

N = mass of the parent isotope left after the time, (t)  = 59% of x = 0.59x

t_{\frac{1}{2}} = half life of the isotope  = 4.5 billion years

\lambda = rate constant

Now put all the given values in this formula, we get

0.59x=x\times e^{-(\frac{0.693}{\text{4.5 billion years}})\times t}

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The age a rock is 3.4 billion years.

b.

Initial mass of the isotope = x

Time taken by the sample to decay its mass by 35%= t

Formula used :

N=N_o\times e^{-\lambda t}\\\\\lambda =\frac{0.693}{t_{\frac{1}{2}}}

where,

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N = mass of the parent isotope left after the time, (t)  = 65% of x = 0.65x

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\lambda = rate constant

Now put all the given values in this formula, we get

0.65x=x\times e^{-(\frac{0.693}{\text{4.5 billion years}})\times t}

t = 2.8 billion years

The age a rock is 2.8 billion years.

5 0
4 years ago
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