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azamat
3 years ago
13

What is the cube root of -1000p^12q^3

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0
The answer would be -10p64q^1 
since -10^3(p^4)^3 (q^1)^3 is -1000p^12q^3
Alina [70]3 years ago
4 0

Answer:

(-10p^{4}q)

Step-by-step explanation:

we have

\sqrt[3]{-1000p^{12}q^{3}}

we know that

-1000p^{12}q^{3}=(-10)^{3} (p^{4})^{3}(q)^{3}=(-10p^{4}q)^{3}

substitute in the expression

\sqrt[3]{-1000p^{12}q^{3}}=\sqrt[3]{(-10p^{4}q)^{3}}=(-10p^{4}q)

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Ice cream cost $4.96 for 4 litres how much for 6 litres
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Answer:

$7.44

Step-by-step explanation:

$4.96/ 2= 2.48

$2.48 X 3 = 7.44

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QUESTIO COURSES SECTION 10F1 SSIGNMENTS Assignment - 41. Test: Basic Math and Algebra Review Attempt 1 of 1 3 4 5 6 7 8 9 10 10
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Step-by-step explanation:

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3 years ago
Select the correct answer.<br> Gio created a scatter plot and drew a line of best fit, as shown
MrRissso [65]

Answer:

y=3x+5 is the answer for this question

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Solve the following equation using the quadratic formula.
konstantin123 [22]

Answer:

x = 4   ±9i

Step-by-step explanation:

x^2 - 8x + 97 = 0

Complete the square by subtracting 97 from each side

x^2 - 8x =- 97

Take the coefficient of x

-8 and divide by 2

-8/2 = -4

Then square it

(-4)^2 = 16

Add it to each side

x^2 - 8x + 16 = -97+16

(x-4)^2 = -81

Take the square root of each side

x-4 = ±sqrt(-81)

x-4 = ±9i

Add 4 to each side

x = 4   ±9i

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3 years ago
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Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line
Vanyuwa [196]

Answer:

3x-5y=-20

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\

y=\frac{3}{5}x -\frac{7}{5}

The slope is m=\frac{3}{5}.

2y-9x=8 has the same y-intercept as the line. Let's convert.

2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}

y=\frac{8}{2}+\frac{9x}{2}  \\y=4+\frac{9}{2}x

The y-intercept is 4.

We take m=\frac{3}{5} and b=4 and substitute into y=mx+b.

y=\frac{3}{5}x+4

We now convert to standard form.

-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

-5(-\frac{3}{5}x+y=4)\\3x-5y=-20



3 0
3 years ago
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