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3 years ago

5^11+5^10 over 5^10-5^8?

Mathematics

2 answers:

Kitty [74]3 years ago

7 0

Answer:

6.25

Step-by-step explanation:

5^11 + 5^10 = 58593750

5^10 - 5^8 = 9375000

58593750 / 9375000

= 6.25

guajiro [1.7K]3 years ago

6 0

5^11 + 5^10

------------------- =

5^10 - 5^8

48,828,125 + 5^10

-------------------------- =

5^10 - 5^8

48,828,125 + 9,765,625

--------------------------------- =

5^10 - 5^8

48,828,125 + 9,765,625

----------------------------------- =

9,765,625 - 5^8

48,828,125 + 9,765,625

--------------------------------- =

9,765,625 - 390,625

58,593,750

------------------------------ =

9,765,625 - 390,625

58,593,750

------------------ =

9,375,000

answer: 6.25

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If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.

stich3 [128]

Answer:

153.94

Step-by-step explanation:

The formula for area is pi*radius^2

the radius is 7, so we do pi7^2 which is 49pi

49pi is 153.93804 which is 153.94 rounded to two decimal places

8 0

3 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

PLEASE HELP!!!!!!!!!! What is 2^4 AND <br> 3^5

shepuryov [24]

Answer:

2^4 is 16 and 3^5 is 243

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Type the correct answer in the box. Use numerals instead of words.

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation $y = mx + b$ .

If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

$y=-0.5x+b$

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

$1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6$

and the equation of the line is

$y=-0.5x+6$

Since b=6, the y-intercept of the line is 6.

7 0

3 years ago

Read 2 more answers

Which statement describes the graph of the system of equations below?

insens350 [35]

1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4

solution (they intersect at) (1.6,1.4)

8 0

3 years ago

Read 2 more answers