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IceJOKER [234]
3 years ago
11

The image shows a dust mite as seen under a microscope. The scale of the drawing to dust is 100:1

Mathematics
1 answer:
hoa [83]3 years ago
8 0

The actual length of the dust termite observed under the microscope is 1.5 mm

  • The scale of image produced under the microscope 100 : 1

  • This means image is magnified 100 times its original size as microscopes are used to enlarge or magnify the size objects.

  • Taking the measured size of the dust termite under the microscope in millimeter = 150 mm

The actual length of the termite will be :

  • Measured size under microscope ÷ 100

  • 150 mm ÷ 100

  • 1.5 mm

Therefore, the actual length of the dust termite is about 1.5 mm

Learn more :brainly.com/question/9572911

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saveliy_v [14]

Answer:

the l.C.M

is 40

Step-by-step explanation:

hope it will help

7 0
3 years ago
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Find the limit............​
liubo4ka [24]

Answer: -\frac{9}{x^2}

====================================================

Work Shown:

\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9}{x+\Delta x} - \frac{9}{x}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9x}{x(x+\Delta x)} - \frac{9(x+\Delta x)}{x(x+\Delta x)}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9x-9(x+\Delta x)}{x(x+\Delta x)}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{9x-9x-9\Delta x}{x\Delta x(x+\Delta x)}\\\\\\

\displaystyle \lim_{\Delta x \to 0^{+}} \frac{-9\Delta x}{x\Delta x(x+\Delta x)}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{-9}{x(x+\Delta x)}\\\\\\\displaystyle \frac{-9}{x(x+0)}\\\\\\\displaystyle -\frac{9}{x^2}\\\\\\

The trick here is to first simplify the expression so that the \Delta x term in the very lower denominator cancels out. This is to avoid dividing by zero. Once this division by zero error is avoided, we can replace the delta x term with 0 and evaluate the limit as \Delta x approaches 0 from the right or positive direction.

5 0
3 years ago
SOMEONE HELP PLEASE HELP
kotegsom [21]

triangle XBR is similar to triangle YNJ.


Similar triangles are triangles with lengths in proportion, and congruent corresponding angles. When naming a similar triangle, the letters or vertexes are listed in a certain order. For instance, angle X is the same as angle Y so those two letters have to be in the same position. In this case, they are both the first letters. Angle B is congruent to angle N and angle R is congruent to angle J so they will also have to be in corresponding positions. The side lengths are extraneous information that can be used to check, but otherwise I would just stick with angles. Hope this helps!

6 0
4 years ago
Use the graph of the polynomial function to find the factored form of the
Anarel [89]

The factored form of the related polynomial is (x - 1)(x - 9)

<h3>How to determine the factored form of the related polynomial?</h3>

In this question, the given parameter is the attached graph

From the graph, we can see that the curve crosses the x-axis at two different points

These points are the zeros of the polynomial function.

From the graph, the points are

x = 1 and x = 9

Set these points to 0

x - 1 = 0 and x - 9 = 0

Multiply the above equations

(x - 1)(x - 9) = 0

Remove the equation

(x - 1)(x - 9)

Hence, the factored form of the related polynomial is (x - 1)(x - 9)

Read more about polynomial at:

brainly.com/question/4142886

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4 0
2 years ago
If you bought a stock last year for a price of $33, and it has gone down 4% since then, how much is the stock worth now, to the
BlackZzzverrR [31]

Answer:

<em>See below.</em>

Step-by-step explanation:

First, divide the percent to find the decimal form.

\frac{4}{100} =0.04

Then, multiply the percentage by the total.

33 *0.04=1.32

Last, subtract it by the total.

33-1.32=31.68

<em>Answer: </em>31.68<em></em>

<em></em>

<em>:)</em>

7 0
3 years ago
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