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3 years ago

Find the rate change

Mathematics

1 answer:

Goshia [24]3 years ago

4 0

Rate change is $3.50

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Help peeps i shall give brainalist .-_-.

Oksana_A [137]

The answer is B
R=89.49/2 pi
It give you the circumference and you need to find the radius

5 0

3 years ago

Find the tangent line approximation for 10+x−−−−−√ near x=0. Do not approximate any of the values in your formula when entering

Svetllana [295]

Answer:

$L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$

Step-by-step explanation:

We are asked to find the tangent line approximation for $f(x)=\sqrt{10+x}$ near $x=0$ .

We will use linear approximation formula for a tangent line $L(x)$ of a function $f(x)$ at $x=a$ to solve our given problem.

$L(x)=f(a)+f'(a)(x-a)$

Let us find value of function at $x=0$ as:

$f(0)=\sqrt{10+x}=\sqrt{10+0}=\sqrt{10}$

Now, we will find derivative of given function as:

$f(x)=\sqrt{10+x}=(10+x)^{\frac{1}{2}}$

$f'(x)=\frac{d}{dx}((10+x)^{\frac{1}{2}})\cdot \frac{d}{dx}(10+x)$

$f'(x)=\frac{1}{2}(10+x)^{-\frac{1}{2}}\cdot 1$

$f'(x)=\frac{1}{2\sqrt{10+x}}$

Let us find derivative at $x=0$

$f'(0)=\frac{1}{2\sqrt{10+0}}=\frac{1}{2\sqrt{10}}$

Upon substituting our given values in linear approximation formula, we will get:

$L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}(x-0)$

$L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}x-0$

$L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$

Therefore, our required tangent line for approximation would be $L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$ .

8 0

3 years ago

If 5.90 × 1.8 = 10.62, what does 106.2 ÷ 59 equal?

alexira [117]

Answer:

1.8

Step-by-step explanation:

- hope this helps!!

8 0

3 years ago

Read 2 more answers

El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto

ella [17]

Answer:

$111,088

Step-by-step explanation:

Paso 1

Encuentra el descuento

Costo de la televisión de plasma = $ 138,860.00

Porcentaje de descuento = 20%

Descuento = 20% × $ 138,860

Descuento = $ 27,772

Paso 2

¿Cuánto pago por la televisión?

Esto se calcula como:

$ 138,860 - $ 27,772

= $ 111,088

Por lo tanto, la cantidad que paga por la televisión es de $ 111,088

7 0

3 years ago

HELP PLEASE <br>factor completely. <br><br>25d^8−80d^4+64=

Dominik [7]

Answer:

(5d⁴ − 8)²

Step-by-step explanation:

I hope this is helpful!

8 0

2 years ago