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4 years ago

Mary bought 1 1/2kg of apples and Nancy bought 3 5/6 kg. How many kg did they buy all together.

Mathematics

1 answer:

siniylev [52]4 years ago

4 0

They both bought 5 1/3 kg of apples because 1 1/2 + 3 5/6= 5 1/3 kg

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This is Simple Interest 7 grade Ratio and Percent Problems

erastovalidia [21]

Formula: total = principal x (1 + (interest rate x loan time))

total = 1000 x (1 + (0.055 x 2))

total = 1000 x (1 + 0.11)

total = 1000 x 1.11

total = $1110

8 0

4 years ago

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:

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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: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}$
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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

3 years ago

What are the coordinates of the midpoint of line segment AB?

GenaCL600 [577]

A = (2 , 8 )

B = ( 7 , -5 )

therefore, midpoint of AB

( x1 + x2/2 , y1 + y2/2 )

→ ( 2 + 7/2 , 8 + (-5)/2 )

→ 9/2 , 3/2

→ 4.5 , 1.5

so, option B is correct

hope this answer helps you dear... take care!

4 0

3 years ago

Expression 3 + y and 2 (6+y) are equivalent?

Assoli18 [71]

Answer:

3+y and 12+2y

Step-by-step explanation:

I mean they aren't equivalent because if you do PEMDAS (parenthesis, exponents, multiply, divide, add, subtract) Then, you would do 2 times 6 because parenthesis, that equals 12 so the answer would be

3+y and 12+2y

6 0

3 years ago

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galben [10]

Answer: 3√-20 = 3√20√-1 = (3√20)i

Step-by-step explanation:

√-20 can be written √20√-1 since

(√20√-1)^2 is indeed -20.

3 0

3 years ago