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3 years ago

❤️Help would be appreciated ❤️

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

A) 114 degrees is your answer

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Find the derivative with respect to x of y = (3x + x^2)^5

RSB [31]

<h2>The required "option A) $5(3x + x^2)^{4} (3+2x)$ " is correct.</h2>

Step-by-step explanation:

We have,

$y = (3x + x^2)^5$ ..... (1)

To find, $\dfrac{dy}{dx}$ = ?

Differentiating equation (1) w.r.t. 'x', we get

$\dfrac{dy}{dx}= \dfrac{d[(3x + x^2)^5]}{dx}$

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{5-1} \dfrac{d(3x + x^2)}{dx}$

[ ∵ $y=x^{n}$ ⇒ $\dfrac{dy}{dx}=nx^{n-1}$ ]

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{4} (3(1) + 2x^{2-1})$

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{4} (3+2x)$

Thus, the required "option A) $5(3x + x^2)^{4} (3+2x)$ " is correct.

3 0

3 years ago

A customer borrows $450 at 5% interest compounded annually

Snezhnost [94]

The answer would be 472.5 correct me if i’m wrong.

8 0

3 years ago

A store sells 12 cans of nutsnuts for $15. How much would it cost you to buy 7 cans of nutsnuts?

Len [333]

The ratio cans to price are 12/15.
Cross multiply: 12/15 * 7/x = 84/15x = x = 5.6

4 0

4 years ago

Cuanto es la rais cuadrada del rectángulo entre dos y multiplicada por 1837

Papessa [141]

14,696

buen dia

(lo siento)

6 0

3 years ago

Malina has to bowl four games in her league. She bowled a 149, 162, and a 152 in her first three games. She wants to have an ave

cestrela7 [59]

To solve, we add the 4 numbers (including the one unknown) and divide that total by 4, and this equals the desired overall average of 154.

x= score needed on 4th game

(149 + 162 + 152 + x)/4= 154
add in parentheses

(463 + x)/4= 154
multiply both sides by 4; 4 "cancels out" on the left side

463 + x= 616
subtract 463 from both sides

x= 153

ANSWER: 153 is the score needed on the 4th game to reach the desired overall average of 154.

Hope this helps! :)

6 0

4 years ago