Bryan wants to ship three medium-sized boxes. Two companies offer different rates.

Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form

Molodets [167]

Answer:Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is

Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0

2 years ago

Consider the following: A medical researcher wants to determine the effects of pH (a measure of alkalinity or acidity, with pure

natita [175]

Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

Data in the table:

PH 4 5 6 7 8 9 10 11

Bacteria 116 120 131 136 141 151 148 163

Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?

<h3>Solution</h3>

See attached for scatter plot

We can see the chart is close to linear function. Let's build one based on data in the table

The line will be in the form of:

y = mx + b

If we use two points and get the equation

(4, 116) and (8, 141)

Finding the slope:

m = (141-116)/(8-4) = 25/4 = 6.25

Then, finding y-intercept:

116 = 6.25*4 + b
b = 116 - 25 = 91

So the line is:

y = 6.25x + 91

Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above

4 0

2 years ago

Your friend claims that if a line has a slope less than 1, then any line perpendicular to it must have a positive slope. Is your

mezya [45]

Answer:

The friend's claim is not correct

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)

Example

A given line has a slope of $m_1=1/2$ ---> (is less than 1)

the slope of the line perpendicular to the given line is equal to

$m_1*m_2=-1$

substitute

$(1/2)*m_2=-1$

$m_2=-2$

so

the perpendicular line don't have a positive slope

therefore

The friend's claim is not correct

5 0

2 years ago

Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor

worty [1.4K]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

3 0

2 years ago