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3 years ago

Convert 14ML (megalitres) iinto kilolitres

Mathematics

1 answer:

irakobra [83]3 years ago

6 0

Answer:

14000Kilolitres

Step-by-step explanation:

$1megalitre = 1000kilolitres \\$

$14megalitres = xkilolitres$

Cross multiply

$14 \times 1000 = xkilolitres$

$14megaitres = 14000kilolitres$

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Evaluate the following pic

GREYUIT [131]

Answer:

1) $\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}=-11$

3) Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

Step-by-step explanation:

1) $\sqrt{1225}+\sqrt{1024}$

Prime factors of 1225 : 5x5x7x7

Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2

$\sqrt{1225}+\sqrt{1024}\\=\sqrt{5\times5\times7\times7}+\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2}\\=\sqrt{5^2\times7^2}+\sqrt{2^2\times2^2\times2^2\times2^2\times2^2}\\=5\times7+(2\times2\times2\times2\times2)\\=35+32\\=67$

$\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}$

We know that $\sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)$

Applying radical rule:

$\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11$

So, $\sqrt[3]{-1331}=-11$

3) $2:p :: p:8$

It can be written as:

$p*p=2*8\\p^2=16\\Taking \ square \ root \ on \ both \ sides\\\sqrt{p^2}=\sqrt{16}\\p=\pm 4$

Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6$

Put value of x, y and z in equation and solve:

$x^3+y^2+z \\=(3)^3+(-2)^2+(-6)\\=27+4-6\\=25$

So, $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}$

We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd

$\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}\\\\=\frac{1296\times-8\times 27}{46656}\\\\=\frac{-279936}{46656} \\\\=-6$

So, $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

8 0

3 years ago

Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n

USPshnik [31]

Answer:

$\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used

Step-by-step explanation:

Daniel uses the proportions of $\dfrac{2}{3}$ cups of orange juice and $\dfrac{1}{4}$ cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

$\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}$

So for one cup of carrot juice $\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used.

4 0

2 years ago

Can y’all plz help me

ziro4ka [17]

I think the answer would be C to this problem

7 0

3 years ago

Please answer also if you answer this one please answer my other one it basically the same

lianna [129]

Answer:

D is the correct answer.

Step-by-step explanation:

<em>Step 1: Write the data</em>

Total number of songs = 100

Total ratio = 1

Total percentage = 100%

Ratio of jazz songs = 1/4

Percentage of jazz songs = 1/4 x 100 = 25%

Ratio of pop songs = 1 - 1/4 = 3/4

Percentage of pop songs = 3/4 x 100 = 75%

<em>Step 2: Match the statement.</em>

The correct statement is D; 25% are Julian's songs are jazz because 1/4 = 25/100 and 75% are pop because 3/4 = 75/100.

5 0

3 years ago

PLS HELP ASAP

MrMuchimi

Answer 38.6

Step-by-step explanation:

21 x .84 = 17.64

17.64 + 21 = 38.64

6 0

3 years ago