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nikitadnepr [17]
3 years ago
13

if 20 is a factor of a number, then the number must be greater than 30. Which number is a counterexample to the given statement?

10, 20, 30, 40, 50
Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

30

Step-by-step explanation:

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Here's a graph of a linear function. Write the
Kryger [21]

Answer:

<em>y = -3x+4</em>

<em />

Step-by-step explanation:

Slope intercept form of a line is given by  y = mx + b

Where

m is the slope

b is the y intercept.

To find m, we need to take any arbitrary 2 points and see how many units up/down and how many units right/left we need to go from one to another. <em>Basically change in y by change in x.</em>

<em />

Let's take 2 arbitrary points: (0,4)  &  (2,-2)

So we need to go -6 units from y = 4 to y = -2. We need to go 2 units from x = 0 to x = 2.

Hence slope is change in y by change in x, which is -6/2 = -3

b is the y-interceept, the place where it cuts the y axis. Looking at the graph, it is at y = 4

<em>Now we can write the equation as :</em>

<em>y = -3x+4</em>

5 0
2 years ago
A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isothermals)
Sophie [7]

Answer:

Step-by-step explanation:

Given that:

T(x,y) = \dfrac{100}{1+x^2+y^2}

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c

here c is the constant.

c = \dfrac{100}{1+x^2+2y^2} \ \ \--- (1)

By cross multiply

c({1+x^2+2y^2}) = 100

1+x^2+2y^2 = \dfrac{100}{c}

x^2+2y^2 = \dfrac{100}{c} - 1 \ \  -- (2)

From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.

Now,

\dfrac{(x)^2}{\dfrac{100}{c}-1 } + \dfrac{(y)^2}{\dfrac{50}{c}-\dfrac{1}{2} }=1

This is the equation for the  family of the eclipses centred at (0,0) is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

a^2 = \dfrac{100}{c} -1  \ \ and \ \ b^2 = \dfrac{50}{c}- \dfrac{1}{2}

Therefore; the level of the curves are all the eclipses with the major axis:

a =  \sqrt{\dfrac{100 }{c}-1}  and a minor axis b =  \sqrt{\dfrac{50 }{c}-\dfrac{1}{2}}  which satisfies the values for which 0< c < 100.

The sketch of the level curves can be see in the attached image below.

7 0
3 years ago
Divide.<br><br><br>8.64÷(−0.27)<br><br><br>Enter your answer in the box.
Ne4ueva [31]

The answer is -2.3328

7 0
3 years ago
52,300,000 in scientific rotation
tatiyna

Answer:

-5.230,0000

Step-by-step explanation:

Your number in decimal form is -52,300,000 . The negative sign remains unchanged. To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point. So, -52,300,000 becomes -5.230,0000

6 0
2 years ago
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Greg runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Paladinen [302]

Answer:

4.5

 miles

Step-by-step explanation:

Well, he runs

3

miles in

28

minutes. Also, see that

42

=

28

⋅

1.5

.

So, his journey would just be running

1.5

times, with each time running

28

minutes.

So, he runs a total of

1.5

⋅

3

=

4.5

miles

7 0
3 years ago
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