All categories

3 years ago

Please hellppppp

Mathematics

1 answer:

Juliette [100K]3 years ago

5 0

Answer: d) -5, -40, -640

Step-by-step explanation:

$A_n=-5\cdot 2^{x-1}\\\\A_1=-5\cdot 2^{1-1}\\\\.\quad=-5\cdot 2^0\\\\.\quad=-5\cdot 1\\\\.\quad=-5\\\\\\\\A_4=-5\cdot 2^{4-1}\\\\.\quad=-5\cdot 2^3\\\\.\quad=-5\cdot 8\\\\.\quad=-40\\\\\\\\A_8=-5\cdot 2^{8-1}\\\\.\quad=-5\cdot 2^7\\\\.\quad=-5\cdot 128\\\\.\quad=-640$

You might be interested in

The length of a towel is 75 centimeters.

AVprozaik [17]

Answer:

To convert from cm to inch divide by 2.54. 75/2.54= 29.5276...

Rounded to the nearest hundredth: 29.53 inches.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the derivative.

krek1111 [17]

Answer:

$\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding/Factoring

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{\sqrt{x}}{e^x}$

Step 2: Differentiate

Derivative Rule [Quotient Rule]: $\displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}$
Exponential Differentiation: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}$
Simplify: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}$
Rewrite: $\displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}$
Factor: $\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

3 years ago

Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

Komok [63]

Answer:

im confused

Step-by-step explanation:

3 0

3 years ago

Calculate the volume of the image (easy)

4vir4ik [10]

V=1/3Bh B=area of base h=height

4 0

3 years ago

Read 2 more answers

A polynomial multiplied by a polynomial is a polynomial

Kruka [31]

Answer:

True

Step-by-step explanation:

I looked it up since I'm not good at explanations so here you go, sorry if this is a late reply;

"True: the product of two polynomials will be a polynomial regardless of the signs of the leading coefficients of the polynomials. When two polynomials are multiplied, each term of the first polynomial is multiplied by each term of the second polynomial."

8 0

3 years ago