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3 years ago

Pls answer I will mark brainliest

Mathematics

2 answers:

jolli1 [7]3 years ago

8 0

36ft^3 or 2,916ft
Formula is given plug into calculator
V= 4/3 • 3 • 729

We’re told to replace pi with 3
And 9^3 (9•9•9) = 729

Multiply and you get 2,916ft and simplify It to cube root to get 36ft^3

Flura [38]3 years ago

5 0

Answer: The answer is 36ft³, or 2916ft.

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Whoever answers correctly gets brainlist!

dybincka [34]

Answer:

8.9 = z

Step-by-step explanation:

11 = 2.1 + z - subtract the 2.1 from the 11

7 0

3 years ago

Solve for x if log 9 base x + log 3 base x^2 = 2.5

Y_Kistochka [10]

Not sure if the equation is

$\log_9x+\log_3(x^2)=\dfrac52$

$\log_x9+\log_{x^2}3=\dfrac52$

If it's the first one:

$9^{\log_9x+\log_3(x^2)}=9^{\log_9x}\cdot9^{\log_3(x^2)}$

$9^{\log_9x+\log_3(x^2)}=9^{\log_9x}\cdot(3^2)^{\log_3(x^2)}$

$9^{\log_9x+\log_3(x^2)}=9^{\log_9x}\cdot3^{2\log_3(x^2)}$

$9^{\log_9x+\log_3(x^2)}=9^{\log_9x}\cdot3^{\log_3(x^2)^2}$

$9^{\log_9x+\log_3(x^2)}=9^{\log_9x}\cdot3^{\log_3(x^4)}$

$9^{\log_9x+\log_3(x^2)}=x\cdot x^4$

$9^{\log_9x+\log_3(x^2)}=x^5$

On the other side of the equation, we'd get

$9^{5/2}=(3^2)^{5/2}=3^{2\cdot(5/2)}=3^5$

Then

$x^5=3^5\implies\boxed{x=3}$

If it's the second one instead, you can use the same strategy as above:

$x^{\log_x9+\log_{x^2}3}=x^{\log_x9}\cdot x^{\log_{x^2}3}$

$x^{\log_x9+\log_{x^2}3}=x^{\log_x9}\cdot\left((x^2)^{1/2}\right)^{\log_{x^2}3}$

(Note that this step assume $x>0$ )

$x^{\log_x9+\log_{x^2}3}=x^{\log_x9}\cdot(x^2)^{(1/2)\log_{x^2}3}$

$x^{\log_x9+\log_{x^2}3}=x^{\log_x9}\cdot(x^2)^{\log_{x^2}\sqrt3}$

$x^{\log_x9+\log_{x^2}3}=9\sqrt3$

Then we get

$9\sqrt3=x^{5/2}\implies x=(9\sqrt3)^{2/5}\implies\boxed{x=3}$

6 0

3 years ago

Two people climbed to the roof of a building. The old person walked up a gentle ramp. The young person climbed up a steep spiral

lianna [129]

Answer:

both people actually did the same work

Step-by-step explanation:

Work = Force × Distance

The person that climbed the steep spiral staircase used more force but covered a shorter distance. On the other hand, the person that walked up a gentle ramp used less force but covered a longer distance. Since both people reached the same height, the force against gravity was the same.

7 0

3 years ago

What is the equation of the line that passes through the point(-5,-4) and has a slope of -3/5?

Elodia [21]

Answer:

y= mx+c

-4= -3/5(-5) + c

-4= -3/5 *-5+ c

-4=3+c

-4-3=c

-7=c

therefore the equation of the line is y=-3/5x-7

Step-by-step explanation:

the equation of a line is

y=mx +c

where y is the y coordinate

where m is the slope

where x is the x coordinate

where c is the y- intercept

6 0

3 years ago

Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their a

ale4655 [162]

$K\ \rightarrow\ the\ Karen's\ age\\M\ \rightarrow\ the\ Michelles\ age \\D\ \rightarrow\ the\ David's\ age\\\\K=M+6\\M=D-2\ \ \ \Rightarrow\ \ \ D=M+2\\K+M+D=62\\\\(M+6)+M+(M+2)=62\\3M+8=62\\3M=54\ /:3\\M=18\ \ \ \Rightarrow\ \ \ K=18+6=24\ \ \ and\ \ \ D=18+2=20\\\\Ans.\ Michelle\ is\ 18,\ David\ is\ 20,\ Karen\ is\ 24.$

6 0

3 years ago