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PolarNik [594]
3 years ago
14

$1.5 x 10^13 in decimal

Mathematics
1 answer:
inna [77]3 years ago
8 0
The answer is 15,000,000,000,000
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Simplify the radical expression.
Ber [7]

\bf \sqrt[4]{625x^{12}y^8}~~ \begin{cases} 625=&5\cdot 5\cdot 5\cdot 5\\ &5^4\\ x^{12}=&x^{3\cdot 4}\\ &(x^3)^4\\ y^8=&y^{2\cdot 4}\\ &(y^2)^4 \end{cases}\implies \pm\sqrt[4]{5^4(x^3)^4(y^2)^4}\implies \begin{array}{llll} \pm5x^3y^2\\\\ 5|x^3|y^2\\\\ |5x^3y^2| \end{array}

8 0
3 years ago
-1/2 -8/15 which on is bigger
liraira [26]
-1/2 is bigger than -8/15
8 0
3 years ago
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Find dy/dx by implicit differentiation. <br> 4x2 + 5xy - y2 = 6
Vlada [557]
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0

where y' = dy/dx

8x + 5xy' +5y  -2yy' = 0

combining y' terms
y' (5x-2y) +8x +5y = 0

y'(5x-2y) = -(8x+5y)

dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
5 0
3 years ago
What is the average rate of change of the function f(x) = 4x – 2 over the interval x = –1 and x = 2?
Alexeev081 [22]

Answer:

4

Step-by-step explanation:

Given: f(x)=4x-2

To find:  average rate of change of the function f(x)=4x-2 over the interval x=-1 and x=2

Solution:

Take a=-1,\,b=2

Find f(a),\,f(b)

f(a)=f(-1)\\=4(-1)-2\\=-4-2\\=-6\\\\f(b)=f(2)\\=4(2)-2\\=8-2\\=6

Average rate of change of the function =\frac{f(b)-f(a)}{b-a}

=\frac{f(2)-f(-1)}{2-(-1)}\\\\=\frac{6-(-6)}{3} \\\\=\frac{12}{3}\\\\=4

7 0
3 years ago
Use elimination to solve the system
Dovator [93]
Just divide the numbers and times them
4 0
3 years ago
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