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3 years ago

Anne had 28 pens, but 23 of them ran out of ink. How many of Anne's pens still have ink?

Mathematics

2 answers:

Umnica [9.8K]3 years ago

8 0

So 5 is the answer...........

Damm [24]3 years ago

5 0

5 of Anne’s pens still have ink. Since 23 of the 28 pens ran out, 5 pens are still good to write with.

Hope this helped!

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Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

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

Unit: Derivatives

Book: College Calculus 10e

6 0

3 years ago

90 dollars ratio in 1:2:3

Mnenie [13.5K]

Answer:

3:6:9

Step-by-step explanation:

1/1+2+3 × 90 = 15

2/1+2+3 × 90 = 30

3/1+2+3 × 90 = 45

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2 years ago

A system of two linear equations with two variables is shown below.

Orlov [11]

{ 3-y=2x
{ x+1/2y=3/2

{ -y=2x-3
{ 1/2y=3/2-x

{ y=-2x+3
{ y=3-2x

-2x+3=3-2x

(x,y) = (x,-2x+3)

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3 years ago

10. what is the volume of the prism to the nearest whole unit?

Ainat [17]

To calculate the volume of the rectangular prism and the triangular prism you will multiply the area of the base by the height of the prism.

1. V = BH
V = lwH
12 x 8 x 4
V = 384 cubic inches

2. V = BH
V = 1/2bhH
1/2 x 12 x 2 x 18
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6 0

3 years ago

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Suppose a solid is formed by revolving the function f(x)=2+mx around the x-axis where 0≤m<1 and 0≤x≤1, and a washer is create

BabaBlast [244]

Answer:

(m³/3 + 5m/2 + 3)pi

Step-by-step explanation:

pi integral [(f(x))² - (g(x))²]

Limits 0 to 1

pi × integral [(2+mx)² - (1-mx)²]

pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]

pi × integral [m²x² + 5mx + 3]

pi × [m²x³/3 + 5mx²/2 + 3x]

Upper limit - lower limit

pi × [m²/3 + 5m/2 + 3]

Verification:

m = 0

[pi × 2² × 1] - [pi × 1² × 1] = 3pi

[m³/3 + 5m/2 + 3]pi

m = 0

3pi

3 0

3 years ago

Read 2 more answers