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2 years ago

The pictures are in order of the the questions asked.

Mathematics

1 answer:

DaniilM [7]2 years ago

3 0

Answer:

The answers are given below:

Step-by-step explanation:

1. a. (─13)³⁵

1. b. The product will be negative. The expanded form shows 34 negative factors plus one more negative factor. Any even number of negative factor yields a positive product. The remaining 35th negative factor negates the resulting product.

2. 4 times.

3. Arnie is not correct. The base, ─3.1, should be in parentheses to prevent ambiguity. At present the notation is not correct.

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1 year ago

Read 2 more answers

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s

timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

$y = 2x + 5$ --- equation

$y = 5$ --- y intercept

$m = 2$ --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

$(x_1,y_1) = (15,35)$

$(x_2,y_2) = (0,5)$

The slope (m) is:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

$m = \frac{5-35}{0-15}$

$m = \frac{-30}{-15}$

$m = 2$

So, the line of best fit is:

$y = m(x - x_1) + y_1$

Substitute known values:

$y = 2(x - 0) + 5$

$y = 2(x) + 5$

$y = 2x + 5$

The y-intercept is when $x=0$

So, we have:

$y = 2*0 + 5$

$y = 0 + 5$

$y = 5$

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2 years ago

Mr. Smith wants to figure out which fast food restaurant is the most popular

hichkok12 [17]

I believe it is biased

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2 years ago

A store manager is accepting applications for part-time workers. he can hire no more than 14 people. so far,he has hired 9 peopl

Lorico [155]

The manager already hired 9 people. Let $x$ be the number of people he still can hire. Since these people will add to the 9 he already hired, when the hiring campaign will be over he will have hired $9+x$ people. We know that he can't hire more than 14 people, so the number of people hired must be less than or equal to 14:

$9+x \leq 14$

If we subtract 9 from both sides, we have

$x \leq 14-9=5$

so, the manager can hire at most 5 other people

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2 years ago