What are the differences between continuous and non-continuous growth?

First examples pt 1 no one answer

andrew11 [14]

Answer:

It takes the second worker 11 hours to do the job alone

Step-by-step explanation:

The problem tells you how to work it.

$\dfrac{1}{11}+\dfrac{1}{x}=\dfrac{2}{11}\\\\x+11=2x \qquad\text{multiply by 11x}\\\\11=x \qquad\text{subtract x}$

x = 11 tells you the second worker takes 11 hours to do the job alone.

_____

You can also work directly with the fractions. Subtract 1/11 and you have ...

1/x = 1/11

It should not be a real stretch to see that x=11. If you need, you can multiply both sides by 11x to get 11=x.

3 0

3 years ago

What is the surface area of a cube whose edges are 11 inches long?

Dennis_Churaev [7]

Surface area is the total area of the surface. A cube has 6 surface, and each surface is the same. Each surface is a 11 by 11 square. Therefore there will be 6 11in. x 11in. surfaces. The math would be 11x11x6 =726.

8 0

3 years ago

Read 2 more answers

PLEASE HELP 2. If f(x) = 3x2 – 7x + 2, then f(- 1) = ? (A) 18 B. 12 C.-2 D.-8.

makvit [3.9K]

Answer: B. 12

Step-by-step explanation:

f(x) = 3x2 – 7x + 2

f(- 1) = ?

f(-1)=3(-1)^2-7(-1)+2

=3(1)+7+2

=3+7+2

=12

6 0

3 years ago

The following back to back stemplot represents the amount a sample of students spent on their last haircut. Because there are si

krek1111 [17]

The 5 - number summary of the distribution obtained from the boxplot is :

Minimum = 20
Maximum = 85
Lower quartile = 35
Median = 44
Upper quartile = 58
Outlier = 100

Firstly, we need to extract the values for the amount spent by females :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The five number summary include ;

Minimum, lower Quartile, Median, Upper Quartile and Maximum values.

Rearranging the data in ascending order :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The boxplot clearly and easily gives the five number summary of the distribution :

Minimum = 20 (starting point of the whisker)
Lower quartile = 35 (starting point of the box)
Median = 44 (vertical line in between the box)
Upper quartile = 58 (endpoint of the box)
Maximum = 85 (endpoint of the upper whisker).

Outlier :

Lower boundary = LOWER QUARTILE - (1.5 × IQR)
Upper boundary = UPPER QUARTILE + (1.5 × IQR)
IQR = UPPER QUARTILE - LOWER QUARTILE
IQR = (58 - 35) = 23

Lower boundary = 35 - (1.5 × 23) = 0.5

Upper boundary = 58 + (1.5 × 23) = 92.5

The point denoted by a dot on the boxplot is an outlier = 100

Hence, values lesser than 0.5 or greater than 92.5 are outliers.

Therefore, 100 is an outlier.

Learn more : brainly.com/question/24582786

7 0

3 years ago

Write the quadratic equation y= x^2 -6x = 7 in vertex form.

lapo4ka [179]

Answer:

(x - 3)² - 16 = 0

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Subtract 7 from both sides

x² - 6x + 7 = 0 ← in standard form

with a = 1, b = - 6

Given a quadratic in standard form then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$ = - $\frac{-6}{2}$ = 3

Substitute x = 3 into the equation for y

y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)

y = (x - 3)² - 16 = 0

7 0

3 years ago