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3 years ago

What is the enlargement ratio of you enlarge a 8:6 to have a height of 12 units and a width of 16 units.

Mathematics

1 answer:

galina1969 [7]3 years ago

5 0

Answer:

2 : 1

Step-by-step explanation:

Initial dimension = 8:6

New information;

height of 12 units and a width of 16 units

Final dimension = 16:12

Comparing both dimensions,

Multiplying the initial by 2, we get the final dimension, this meas;

Final Dimension = Initial Dimension * 2

Final Dimension / Initial Dimension = 2 / 1 = 2 : 1

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What is the derivative of 3x+5x

Vaselesa [24]

Answer:

$\displaystyle \frac{d}{dx}[3x + 5x] = 8$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = 3x + 5x$

Step 2: Differentiate

Simplify: $\displaystyle y = 8x$
Derivative Property [Multiplied Constant]: $\displaystyle y' = 8\frac{d}{dx}[x]$
Basic Power Rule: $\displaystyle y' = 8$

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

Unit: Differentiation

7 0

3 years ago

Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t

NISA [10]

Answer:

Class second have higher score and have greater spread.

Step-by-step explanation:

For first box plot

$\text{Minimum value }= 53$

$Q_1=62$

$Median=80$

$Q_3=86$

$\text{Maximum value }= 89$

$Range=Maximum-Minimum=89-53=36$

$IQR=Q_3-Q-1=86-62=24$

For second box plot

$\text{Minimum value }= 56$

$Q_1=62$

$Median=74$

$Q_3=89$

$\text{Maximum value }= 96$

$Range=Maximum-Minimum=96-56=40$

$IQR=Q_3-Q-1=89-62=27$

First class has greater minimum value, it means first class has lower grades.

First quartile of both classes are same, it means equal number students in both classes have less than 62 marks.

First class has greater median.

second class has greater third quartile.

Second class has greater Maximum value. It means second class have higher score than first class.

Second class has greater range. It means the data of second class has greater spread.

Second class has greater inter quartile range. It means the data of second class has greater spread.

Therefore, the class second have higher score and have greater spread.

5 0

4 years ago

Please solve quickly

HACTEHA [7]

Area of a circle = πr^2

Area of a sector with angle x° = (x/360) πr^2

For the smaller sector,

x = 30°

r = 6 in

Required area of sector = (30/360) × π × 6^2 = 9.424 in^2

To the nearest hundreth, Area = 9.42 in^2

5 0

2 years ago

Help po mga kuya, ate.

Agata [3.3K]

Answer:

sorry

Step-by-step explanation:

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8 0

3 years ago

(e) what might you conclude if a random sample of 3636 time intervals between eruptions has a mean longer than 104104 minutes?

OverLord2011 [107]

The answer in this question is A, D and E, we might conclude if a random sample of 36 time interval between eruption has a mean longer that 104 minutes, I can conclude that the population means may be greater than 91 and the probability mean must be more that 91, since the probability is low and also the population mean is 91, and this is an example of a typical sampling result.

5 0

3 years ago