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trasher [3.6K]
2 years ago
15

Today is the birthday of Rahul and he is 3 times

Mathematics
1 answer:
Marat540 [252]2 years ago
5 0

Answer:

b. 36 years

Step-by-step explanation:

Today

Nirmala = x years

Rahul = 3x years

In 13 years

Nirmala = 3x + 13 years

Rahul = 2(x+13) - 1

3x + 13 = 2(x+13) - 1

3x + 13 = 2x + 26 - 1

3x + 13 = 2x + 25

3x - 2x = 25 - 13

x = 12

Nirmala = x years

= 12 years

Rahul = 3x years

= 3(12)

= 36 years

The age of Rahul today is 36 years

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Air pressure may be represented as a function of height (in meters) above the
denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>  P(h) =P_0e^{-0.00012h} </h3><h3> In this function P_o   is the air pressure at the surface of the earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

P(h) =P_0e^{-0.00012h}

In order to calculate at what  height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute P(h)=0.5P_o into the function:

0.5P_o=P_0e^{-0.00012h}

2. Finally, you must solve for h.

Remember the following property of logarithms:

ln(b)^a=a*ln(b)\\\\ln(e)=1

Then, you get this result:

0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2

7 0
3 years ago
Select the correct answer. y - 6 = 4( x - 4) Which of the following shows a graph of the equation above?
geniusboy [140]

Answer:

One of the points will be at (0,-10)

One of the points will be at (5/2,0)

The slope is 4

Step-by-step explanation:

Just look at a graph that has the points close to the ones at the top.  Good luck, and have a nice day.

8 0
2 years ago
The number of nails of a given length is normally distributed with a mean length of 5 in and a standard deviation of 0.03 find t
umka2103 [35]

Answer:

19 nails

Step-by-step explanation:

Let's first determine the z-score by using the formula:

z=\frac{x-\mu}{\sigma}

Where x=5.03, μ=5, σ=0.03 and so:

z=\frac{5.03-5}{0.03}=1


We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%.  This means that 84.13% of the nails are less than or equal to 5.03 inches long.  Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587.  This means that 15.87% of the 120 nails are greater than 5.03 inches long.

Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

120 \times 0.1587 \approx 19

And so 19 out of the 120 nails are greater than 5.03 inches long.

5 0
3 years ago
Does anyone have the answers to Geometry B Unit 6: Surface Area and Volume, Lesson 10: Surface Area and Volume Unit Test? please
Mama L [17]

Hello everyone

Are you guys talking about the Lesson 10: Surface Area and Volume Unit Test unit 6: Surface Area and Volume test, i have the answers right here for all of you:

1) 17

2)Hexagon

3)95cm^2; 275cm^2

4)795m^2; 822m^2

5)2,205 in^2

6)770m^2

7)43.1cm

8)LA= 829.4ft^2; SA 1,209.5ft^2

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10)43.35pim^3

11)2.1 in

12)528

13)850cm^3

14)115cm^2

15)3,054cm^3

16)2,158m^2

17)Yes 1:8

18)144m^2

19)4,712m^2

20)1,944cm^3

If you guys need help with anything else please feel free to ask !!!!, trust me those answer are all correct, if you have the same test as me, and same answers, like i put, those answers  will help you !.

                                                                                    ~By Naba~

8 0
3 years ago
During a school lunch, the cafeteria sold two-fifths as many white milks as chocolate milks. If there were 35 milks sold, how ma
anyanavicka [17]
Hello!

As we can see, they sell 2/5 as many white milks and chocolate milks. We can write this as the ratio 2:5. As you can see, we are given the total, which is 35. The total of the ratio in simplest form is 7 (2+5). As you can see, we have to multiply by 5 to get that 7 to 35. Therefore we multiply each part of the ratio by 5 to get our final answer. We can have w represent the white milks while c represents the chocolate milks.

\frac{w}{c} =  \frac{2}{5}·\frac{5}{5}=\frac{10}{25}

Therefore there were 25 chocolate milks sold (just to verify 10 is 2/5 of 25).

I hope this helps!

3 0
2 years ago
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