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djyliett [7]
3 years ago
6

Swamp gas consists primarily of methane, a chemical compound consisting of a 1 : 4 ratio of carbon to hydrogen atoms. If a sampl

e of methane contains 1564 hydrogen atoms, how many carbon atoms are present in the sample?
Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

Number of carbon atoms present in the sample are 391.

Step-by-step explanation:

We are given that,

Ratio of carbon to hydrogen atoms = 1 : 4

It is given that a sample of methane consists of 1564 hydrogen atoms.

Let the carbon atoms in the sample = x

So, we have the relation,

\frac{Carbon}{Hydrogen}=\frac{1}{4}=\frac{x}{1564}

i.e. \frac{1}{4}=\frac{x}{1564}

i.e. x=\frac{1564}{4}}

i.e. x= 391

Hence, the number of carbon atoms present in the sample are 391.

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notsponge [240]
<h3>Option C is correct</h3>

<h3>Let us see the verification;</h3>

6x {}^{3}  - 15x {}^{2}  - 9x \\ 3x(2x {}^{2} - 5x - 3)  \\ 3x( 2x {}^{2}  + x - 6x - 3) \\ 3x(x(2x + 1) - 3(2x - 1) \\ (2x + 1)

<h2>Hence, Proved ✔︎</h2>

5 0
3 years ago
What does the remainder theorem conclude given that f(x)/x+6 has a remainder of 14? Enter your answer by filling in the boxes.​
musickatia [10]

Answer:

f(-6)=14

Step-by-step explanation:

According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).

It is given that \dfrac{f(x)}{x+6} has a remainder of 14.

Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get

a=-6

So, by remainder theorem, remainder of \dfrac{f(x)}{x+6} is f(-6).

Since the remainder is 14, therefore

f(-6)=14

Therefore, the answer for first blank is -6 and for second blank is 14, i.e., f(-6)=14.

6 0
3 years ago
A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet,
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3 0
2 years ago
Ms. Drevis' garden has lots of apple trees. 120 apples fall on ground in 30 seconds. How many
oee [108]

Answer:

the answer would be 4

Step-by-step explanation:

because 120 divided by 30 is 4

7 0
3 years ago
Read 2 more answers
A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard d
MatroZZZ [7]

The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''

<h2>Given that,</h2>

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

<h3>We have to find,</h3>

Which of the following values is outside the 99% confidence interval for the population mean?

<h3>According to the question,</h3>

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

Sample space n = 85,

Mean = 146

And standard deviation = 34

Then, The standard error of the sample is,

= \dfrac{\sigma}{n}\\\\= \dfrac{34}{\sqrt{85}}\\\\= \dfrac{34}{9.21}\\\\= 3.6

Then, z-critical value for 99% is 2.58,

Margin of error = ±9.515

Confidence interval for lower bound is,

= 146 - 9.515 = 136.485

And confidence interval upper bound is,

= 146 + 9.515 = 155.515

Here, 135 is less than the lower bound,

Therefore, 135 does not lie within a 99% confidence interval.

For more details about Lower bound refer to the link given below.

brainly.com/question/15974739

7 0
2 years ago
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