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Drupady [299]
3 years ago
11

GIVNING BRAINLIST

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0
Choose the graph where both sides go up Like a U
These notes should help with future problems like this

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Find the second decile of the following data set 24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51 D2 =
Sergio039 [100]

Answer:

D2 = 24

Step-by-step explanation:

given is a data set as

24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51

We have to find the second decile for the above

Arranging in ascending order we get

14, 24, 24, 25,26,28, 34, 40, 45, 51, 58, 64

2nd decile is equal to 20th percentile

20th percentile formula entry appearing which sorts 20% below and 80% above.

i.e. (20%*(14+1)) = 3rd entry

Thus 20th percentile is24.

D2 = 24

7 0
3 years ago
A tank contains 100 gal of brine made by dissolving 80 Ib of salt in water. Pure water runs into the tank at the rate of 4 gal/m
ohaa [14]

Answer:

Step-by-step explanation:

Amount of brine = 100 gal

amount of salt = 80 lb

rate of water running = 4 gal / min

Let A be the amount of salt in lb in the tank at any time t.

(a) dA/dt = rate of salt in - rate of salt out

Rate of salt in = 0

rate of salt out = A x 4 / 100 = A / 25 lb/min

So, dA/dt = 0 - A/25 = - A/25 lb/min

\frac{dA}{A}=-\frac{1}{25}dt

\int \frac{dA}{A}=-\frac{1}{25}\int dt

A(t) = C e^{-0.04t}

When t = 0, A = 80 lb

So,

A(t) = 80 e^{-0.04t}

(b) Now, A = 40 lb

So,

40 = 80 e^{-0.04t}

0.5 = e^{-0.04t}

take log on both the sides

ln 0.5 = - 0.04 t

t = 17.3 minutes

8 0
3 years ago
The Johnson twins were born five years after their older sister. This​ year, the product of the three​ siblings' ages is exactly
Mamont248 [21]

Answer:

13 years.

Step-by-step explanation:

Suppose, today, the Johnson twins' age is x years. Then the age of their elder sister will be (x + 5) years old. It is given that product of the three​ siblings' ages is exactly 2998 more than the sum of their ages. Therefore:

x + x + x + 5 + 2998 = (x)(x)(x + 5).

3x + 3003 = x^3 + 5x^2.

x^3 + 5x^2 - 3x - 3003 = 0.

To solve the question, factor theorem will be used. It states if any number c satisfies the equation f(c) = 0, then c is the factor of f(x). By observation, it can be seen that x = 13 can be a possible candidate for the factor of f(x). To verify, check f(13).

f(13) = 13^3 + 5(13^2) - 3(13) - 3003 = 2197 + 845 - 39 - 3003 = 0.

Since f(13) = 0, therefore x = 13 is the factor of f(x).

Now applying synthetic division:

Column 1       2       3       4            5

     13    |         1       5      -3        -3003  (Row 1)

______|______<u>  _13__234___3003</u>   (Row 2)

            |         1       18      231          0    (Row 3)

The method requires to write the coefficients of all the powers in the Row 1 on the right hand side of the table. Put the factor x = 13 on the left hand side of the table (Row 1 Column 1). The first step involves the second column elements to be added. Since there is only 1, thus there will be 1 below the line. Next step involves multiplying 1 with the factor (which is 13) and this will be the element for row 2 column 3. The add the elements of the column 3. The answer comes out to be -3. Repeat the above steps for the columns 4 and 5. The sum of the column 5 (the last column) should be 0, which is the case. The elements of the last row are actually the coefficients of the quadratic equation which is resultant from dividing f(x) by (x - 13). Thus:

x^2 + 18x + 231 = 0.

Using completing the square:

x^2 + 18 = -231.

(x)^2 + 2*(x)*(9) + (9)^2 = -231 + (9)^2.

(x + 9)^2 = -231 + 81.

(x + 9)^2 = -150.

Taking square root on both sides shows that rest of the 2 answers of this polynomial will be complex roots since square root of -150 does not exist in real numbers. Therefore, since the age is a real quantity and not a complex quantity, the age of the twins is 13 years!!!

8 0
3 years ago
What is 25-3x=10 broken down
Tema [17]

Answer:

The answer is x = 5

Step-by-step explanation:

The given equation is

25 - 3x = 10

So when we break down this equation, we will have the value of x. Now breaking down the equation and moving variables to the correct positions.

25 - 3x = 10

Moving -3x and 10 to the other sides

25 - 10 = 3x

3x = 25 - 10

3x = 15

Now dividing both sides with 3, we get the following answer

3x/3 = 15/3

x = 5

Breaking down the equation gives us the value of x, i-e 5

5 0
3 years ago
What is the setting in chapter 10 of the outsiders book
Mademuasel [1]

Answer:

Well here's the summary of Chapter 10 hope this helps.

Step-by-step explanation:

After Johnny's death Ponyboy wanders alone for hours until a man offers him a ride The man asks Ponyboy if he is okay and tells him that his head is bleeding. ... At home, he finds the greasers gathered in the living room and tells them that Johnny is dead and that Dally has broken down.

So the setting is at Johnny's home.

7 0
3 years ago
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