Write this number in standard form. 1 x 1 + 8 x 1/100 + 9 x 1/1000,

Mathematics

2 answers:

Mariana [72]3 years ago

6 0

The answer is 1.089.

Mumz [18]3 years ago

6 0

<span>solution: 1 x 1 + 8 x 1/100 + 9 x 1/1000 As per the rule of order of operations i.e. division, multiplication , addition and subtraction, it will become: = 1 x 1 + 8 x 0.01 + 9 x 0.001 = 1 + 0.08 + 0.009 = 1.08 + 0.009 = 1.089 Answer will be 1.089</span>

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My teacher gave us the answers but we just need to show the work for solving the problems. Please help me

Radda [10]

Answer:

Step-by-step explanation:

16x + 22 = 134 ..... because if the two lines are parallel alternative exterior angles are congruent

16x = 134 - 22

16x = 112

$\frac{16x}{16} = \frac{112}{16}$

x = 7

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3 0

3 years ago

Help it’s slope idk how to do it

Over [174]

a. $\boxed{y-602=\frac{2}{3}(x-3)}$

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

$P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)$

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

$y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line$

Finding (m):

$Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}$

Finally, the equation of the line is:

$(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}$

In this case, we have that:

The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
The y-axis represents the <em>Height of the Tree </em>in inches.

Since the slope o a line is:

$Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}$

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

The y-intercept can be found setting $x=0$ . So, from our equation: