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Genrish500 [490]
2 years ago
15

Find the slope of the given line in the following graph.

Mathematics
1 answer:
andre [41]2 years ago
3 0

Take one point from the cartesian plane.

I am taking:

  • (5,-5)
  • x= 5
  • y= -5

\large \sf \frac{y}{x}

\large \sf  \cancel\frac{ - 5}{5}

\sf \: m =  - 1

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the radius of a gold atom is 1.35 angstroms. how many gold atoms would it take to line up a span of 8.5 mm?
serg [7]
The angstrom<span>, also known as the </span>angstrom<span> unit, is a measure of displacement equal to 0.0000000001 meter (10 -10 m). It would be helpful to convert the units of angstrom to mm. We do as follows:

diameter = 2 x 1.35 x10^ -10 m ( 1000 mm / 1 m ) = 2.7 x 10^-10 mm / atom

Number of gold atoms = 8.5 mm / </span>2.7 x 10^-10 mm / atom = 31481481481.481 atoms
6 0
3 years ago
Read 2 more answers
if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120​
kati45 [8]
78


step by step explanation:

first: divide 600 and 15

answer to 600/15: 40

second: divide 3120 and 40

final answer: 78
5 0
3 years ago
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
Yanka [14]

Answer:

The point is (7,0).

Step-by-step explanation:

The equation of a linear function in point-slope form is as follows :

y-y_1=m(x-x_1) ...(1)

Where

(x₁,y₁) are the coordinates of the point which  the line passes through it and (x,y).

Harold correctly wrote the equation y= 3(x–7)

or we can write it as :

y-0=3(x-7) ...(2)

Comparing equations (1) and (2), we get :

x₁ = 7 and y₁ = 0

So, the point is (7,0).

The correct option is (c).

7 0
3 years ago
2x^(2/3)+5x^(2/3)=686
mrs_skeptik [129]

Answer:

Step-by-step explanation:

4 0
3 years ago
A(x) = -0.015x^3+1.05xA ( x ) = − 0.015 x 3 + 1.05 x gives the alcohol level in an average person's blood x hrs after drinking 8
goldfiish [28.3K]

Answer:

Yes

Step-by-step explanation:

the function that gives the alcohol level is:

A ( x ) = - 0.015 x^3 + 1.05 x

where x is the number of hours.

we need to know if after 4 hours an average person is legally drunk, thus:

x=4

and we substitute this in the function:

A ( 4 ) = - 0.015 (4)^ 3 + 1.05(4)

solving these operations we obtain:

A(4)=-0.015(64)+4.2\\A(4)=-0.96+4.2

A(4)=3.24

the alcohol level after 4 hours is 3.24.

Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.

5 0
2 years ago
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