All categories

2 years ago

In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.

Mathematics

1 answer:

ahrayia [7]2 years ago

3 0

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do $2^{7}$ .

That is 128

You might be interested in

The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the

never [62]

Answer:

sensitivity analysis

Step-by-step explanation:

The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the analysis of the results. This type of analysis is called Sensitivity analysis.

It helps us figure out the robustness of a system or model in the presence of an uncertainty

It also increases the relationship between the inputs and outputs from the system or model

6 0

2 years ago

The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=

user100 [1]

a) See attached diagram.

b) The slope can be obtained by the formula:

$m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.$

Now

$m_1=\dfrac{24.4-19.7}{8-7}=4.7;$
$m_2=\dfrac{30.7-24.4}{9-8}=6.3;$
$m_3=\dfrac{38.4-30.7}{10-9}=7.7;$
$m_4=\dfrac{50.4-38.4}{11-10}=12;$
$m_5=\dfrac{57.3-50.4}{12-11}=6.9;$
$m_6=\dfrac{71.6-57.3}{13-12}=14.3;$

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

$y\approx 0.71x^2-5.58x+23.76.$

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

$y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09$

6 0

2 years ago

On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.

koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

3 0

2 years ago

jeffrey purchased a card for $180 that gives him 20 visits to a new gym and includes a one-time fee for unlimited use of the sau

yawa3891 [41]

There is many ways to do this but i did it this way.

180-123.75= 56.25

56.25/5=11.25

=11.25

7 0

2 years ago

Read 2 more answers

What is the sum or difference?<br><br> 6x7 + 8x7

Agata [3.3K]

I think the answer is 98

7 0

2 years ago

Read 2 more answers