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Grace [21]
3 years ago
14

A person was monitoring how fast the

Mathematics
1 answer:
choli [55]3 years ago
6 0

Answer:

B. Any integer greater than 0

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable.   It is the set of all possible values of t which will make the function "work", and will give a result for the Air Pressure, P(t).

Since Time(t) is a continuous function, the domain could take on any positive real number. Since, we are looking for the best description of the domain, Option B (any integer greater than 0) would be suitable.

This is because choosing any real number in Option A will accept negative values and time cannot be negative.

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Find the 70th term of the following arithmetic sequence.<br><br> 12,17,22,27,...
nikdorinn [45]
Since it starts at 12 and is increasing by 5 each time, the 70th term will be;
12 + 5(70)
12 + 350
362

362 is the 70th term of the sequence.
8 0
3 years ago
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Fractions and integer operations practice, I need help please.
olga2289 [7]
40/11 = 3.63
hope this helps
3 0
4 years ago
The area of a rectangle that has a length of 10 and a width of w.
alexdok [17]

Answer:

B

Step-by-step explanation:

To find the area, multiply length by width (lw, or l×w). If the length is 10, that just leaves the width, which is unknown. We can substitute 10 for l, which leaves us with 10w.

8 0
3 years ago
Question regarding logarithms.
Eddi Din [679]

5^{x-2}-7^{x-3}=7^{x-5}+11\cdot5^{x-4}\\\\5^{x-2}-7^{x-2-1}=7^{x-2-3}+11\cdot5^{x-2-2}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\5^{x-2}-\dfrac{7^{x-2}}{7^1}=\dfrac{7^{x-2}}{7^3}+11\cdot\dfrac{5^{x-2}}{5^2}\\\\5^{x-2}-\dfrac{1}{7}\cdot7^{x-2}=\dfrac{1}{343}\cdot7^{x-2}+\dfrac{11}{25}\cdot5^{x-2}\\\\-\dfrac{1}{7}\cdot7^{x-2}-\dfrac{1}{343}\cdot7^{x-2}=\dfrac{11}{25}\cdot5^{x-2}-5^{x-2}\\\\\left(-\dfrac{1}{7}-\dfrac{1}{343}\right)\cdot7^{x-2}=\left(\dfrac{11}{25}-1\right)\cdot5^{x-2}

\left(-\dfrac{49}{343}-\dfrac{1}{343}\right)\cdot7^{x-2}=-\dfrac{14}{25}\cdot5^{x-2}\\\\-\dfrac{50}{343}\cdot7^{x-2}=-\dfrac{14}{25}\cdot5^{x-2}\qquad\text{multiply both sides by}\ \left(-\dfrac{25}{14}\right)\\\\\dfrac{50\cdot25}{343\cdot14}\cdot7^{x-2}=5^{x-2}\qquad\text{divide both sides by}\ 7^{x-2}\\\\\dfrac{25\cdot25}{343\cdot7}=\dfrac{5^{x-2}}{7^{x-2}}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}

\dfrac{5^2\cdot5^2}{7^3\cdot7}=\left(\dfrac{5}{7}\right)^{x-2}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\\dfrac{5^4}{7^4}=\left(\dfrac{5}{7}\right)^{x-2}\\\\\left(\dfrac{5}{7}\right)^4=\left(\dfrac{5}{7}\right)^{x-2}\iff x-2=4\qquad\text{add 2 to both sides}\\\\\boxed{x=6}

6 0
3 years ago
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What is the volume of this rectangular pyramid?<br> 3 cm<br> 3 cm<br> 4 cm<br> cubic centimeters
Vsevolod [243]

Answer:

36 cm hope this helps

Step-by-step explanation:

3×3=9×4=36

5 0
3 years ago
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