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3 years ago

The length of a football field including the end zones is 48 feet longer than four times the length of a tennis

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

T=78 feet (Tennis court)

360 feet (Football Filed)

Step-by-step explanation:

4T+48 = T+282

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Been stuck on this for a while

ozzi

Answer:

volume = 502.4 cm³

Step-by-step explanation:

volume = 4²π(10) = 160π = 502.4 cm³

4 0

3 years ago

Find the indefinite integral. (Use C for the constant of integration.) e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

3 years ago

About plants:

melisa1 [442]

<h2>plants are very helpful because we get oxygen from plants to inhale and Excel carbon dioxide which is unsuitable for a good environment plants inhale carbon dioxide and consumed at and XL oxygen which we inhale carbon dioxide is a major reason for global warming and plants are very helpful in our life because if there are no plants = no life because no oxygen</h2>

6 0

3 years ago

Which type of transformation is described by (x, y) -> + (x + 3, y — 2)?

creativ13 [48]

Answer:

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

Step-by-step explanation:

Given the rule of transformation:

(x, y) → (x+3, y-2)

If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.

In other words,

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+3, y-2)

A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)

Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)

4 0

3 years ago

A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '

Liono4ka [1.6K]

Answer:

The commission is 943

Step-by-step explanation:

Take the price of the cat and multiply by the commission rate

23575 * 4%

23575 *.04

943

The commission is 943

6 0

3 years ago