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13 days ago

S=5r^2t solve for T please

2 answers:

7 0

Hello!
The equation is S = 5r^2 * T
To isolate T, we aim to have it alone on one side of the equation.
We can achieve this by dividing both sides by 5r^2.
So, our equation becomes S/5r^2 = T, and this is our final answer.

I hope this is useful!

tester [8.8K]13 days ago

6 0

Begin by taking the square root of both sides
RootS=5r rootT
Next, divide both sides by 5r
RootS/5r=root T
Then, square both sides
S/5r^2=T Alternatively, you could simply divide both sides by 5r^2 to reach the same result.[[TAG_6]]

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x2y - 2xy - 24y = y(x2 - 2x - 24) What is the completely factored form of x2y – 2xy – 24y? (xy + 4)(x – 6) xy(x + 4)(x – 6) y(x

babunello [8385]

We start with

$x^2y-2xy-24y=y(x^2-2x-24)$

Next, we can factor out the term on the right side

$x^2-2x-24=x^2-6x+4x-6*4$

$x^2-2x-24=(x-6)(x+4)$

Now, we will substitute back

resulting in

So,

$x^2y-2xy-24y=y(x-6)(x+4)$ .............Response

5 0

3 days ago

Read 2 more answers

Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.

Inessa [8979]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie. Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

$2x,2y,2z$

Objętość = $8xyz$

Maksymalizuj objętość przy założeniu

$x^2+y^2+z^2 =1$

tj. $g(x,y,z) = x^2+y^2+z^2 -1=0$

Użyj mnożników Lagrange'a, mamy

$∇f(x,y,z)=λ∇g(x,y,z)$ przy maksimum

$∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)$

$8yz=2λx8xz=2λy8xy=2λz$

Dzieląc otrzymujemy

$\frac{y}{x} =\frac{x}{y} \\x^2=y^2$

Podobnie $y^2=z^2$

Zatem otrzymujemy $3x^2 =1\\x = \frac{1}{\sqrt{3} }$

Stąd wymiary to

(2x,2y,2z)

$\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )$

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3 0

24 days ago

Jonathan has 3/4 pound of grapes.how many 1/8pound servings can Jonathan make from his grapes

Inessa [8979]

Response:

6 servings.

Detailed explanation:

To determine this, divide 3/4 by 1/8, here are the steps:

3/4 divided by 1/8

3/4 times 8/1

(3 × 8 = 24); (4 × 1 = 4)

24 divided by 4 results in 6.

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12 days ago

The parent cosecant function is shifted 4 units right and 3 units up. Which of the following is the graph of the transformed fun

AnnZ [9056]

We can use a graphing tool to plot the <span> cosecant function
</span>check the attached image

the answer corresponds to option B

4 0

4 days ago

Read 2 more answers

Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

AnnZ [9056]

Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

Step-by-step explanation:

a) To achieve an even total, there are 3 possible combinations:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

Order is irrelevant

Summing these yields your final result: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.

$\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}$

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19 days ago