Determine the derivative of the following and leave the answer with positive exponentsAy/ax if y=5x+√x to the exponent 5/2x²

Answers

Answer 1

Answer: Hello,

It was a long time i have done this.

y=(5x+√x) ^(2.5 x²)

ln y= 2.5x² ln (5x+√x)

We use:
d (ln y)/dx=1/y* dy/dx

y'/y= 5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))

y'=(5x+√x) ^(2.5 x²)*[5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))]

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Solve this proportion 10/8=n/10

Answers

The solution to the expression is n = 12.5.

We have,

To solve the expression 10/8 = n/10, we can use cross-multiplication.

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction.

10/8 = n/10

10 x 10 = 8 x n

100 = 8n

To solve for n, we divide both sides of the expression by 8:

100/8 = n

n = 12.5

Therefore,

The solution to the expression is n = 12.5.

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Answer:

n=12.5

Step-by-step explanation:

10/8=n/10

/8 to /10 is *1.25

so 10/ to n/ would also be *1.25

10*1.25 is 12.5 so n=12.5

9+5(4x+4) what's the answer

Answers

20x+29 Parenthesis are supposed to be solved first, but due to the variable (x) i multiplied 5 (distributive property) leaving the 9 alone ... you just add it to the equation .....which you can't find x because you don't know what the whole equation equals to.

9 + 5(4x + 4)
9 + 5(4x) + 5(4)
9 + 20x + 20
9 + 20 + 20x
29 + 20x

What is the result of dividing 48a3 + 32a2 + 16a by 4a?

A. 12a2 + 8a + 4

B. 12a2 + 4a + 8

C. 12a + 8

D. 12a2 + 4a + 4

Answers

The required quotient is 12a2 + 8a + 4. Option A is correct.

Quotient to be determined when dividing 48a3 + 32a2 + 16a by 4a.

What is the quotient?

The quotient is that value when quantity is divided by some value.

Here,
= (48a3 + 32a2 + 16a)/4a.
= 48a3/4a + 32a2/ 4a + 16a/4a)
= 12a2 + 8a + 16

Thus, the required quotient is 12a2 + 8a + 4. When dividing 48a3 + 32a2 + 16a by 4a.

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$(48a^3+32a^2+16a)/(4a)$
$(48^3)/(4a) + (32a^2)/(4a) + (16a)/(4a)$

12a² + 8a + 4

Answer is A. 12a² + 8a + 4

If (x − 2)^2=49, then x could be ?

Answers

$(x - 2)^2=49\n \n x^2-4x +4 -49=0\n \nx^2-4x -45 = 0\n \n\Delta = b^(2)-4ac = (-4)^(2)-4*1* (-45)= 16+180=196 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(4-√(196))/(2)=(4-14)/(2)=(-10)/(2)=-5 \n \nx_(2)=(-b+√(\Delta ))/(2a) =(4+√(196))/(2)=(4+14)/(2)=(18)/(2)=9 \n \nAnswer : \ x=-5 \ or \ x= 9$

(x-2)(x-2)
x^2 -2x -2x +4 =49 (-49 from both sides)
X^2-4x-45
(x+5)(x-9)
x=-5, x=9

Can you help me with this question? please and thank you!

Answers

-- As time goes on, the population gets bigger.
That's increasing.

-- If the same amount was ADDED to the population every 5 weeks,
that would be linear. But that's not what's happening here.

Every 5 weeks, the population is MULTIPLIED by the same amount (10).
That's increasing exponentially.

On a graph, it would be a curve, that not only gets higher as time
goes on, but also gets steeper (rising faster, increasing slope).

B increasing linear
:)

Find x of this shape.