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miss Akunina [59]
2 years ago
14

What is another way to write 9x200?

Mathematics
2 answers:
pashok25 [27]2 years ago
7 0
9×2=18. add the tow zeros like this 9×2=18+00=1,800
REY [17]2 years ago
7 0
9x200= 1800 
you could write it like 9x20x10=1800
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Find the number a such that the line x = a bisects the area under the curve y = 1/x2 for 1 ≤ x ≤ 4. 8 5​ (b) find the number b s
IceJOKER [234]

a. We're looking for a such that

\displaystyle\int_1^a\frac{\mathrm dx}{x^2}=\int_a^4\frac{\mathrm dx}{x^2}

-\dfrac1x\bigg|_{x=1}^{x=a}=-\dfrac1x\bigg|_{x=a}^{x=4}

1-\dfrac1a=\dfrac1a-\dfrac14

\dfrac54=\dfrac2a\implies\boxed{a=\dfrac85}

b. Integrating with respect to y will make things easier.

y=\dfrac1{x^2}\implies x=\dfrac1{\sqrt y}

(where we take the positive square root because we know x>0)

Now we want to find b such that

\displaystyle\int_0^b\frac{\mathrm dy}{\sqrt y}=\int_b^1\frac{\mathrm dy}{\sqrt y}

2\sqrt y\bigg|_{y=0}^{y=b}=2\sqrt y\bigg|_{y=b}^{b=1}

2\sqrt b=2-2\sqrt b

4\sqrt b=2\implies\boxed{b=\dfrac14}

3 0
2 years ago
LMN is a straight angle. Find m LMP and m NMP​
viva [34]

Answer:

(-16x + 13)° + (-20x + 23)° = 180° ( St. angle)

-16x° + 13° - 20x° + 23° = 180°

-4x° + 36° = 180°

-4x° = 180°-36°

-4x° = 144°

-x° = 144°/4

-x° = -36°

x° = 36°

<u>Minus</u><u> </u><u>Minus</u><u> </u><u>cut</u>

<u>I</u><u> </u><u>hope</u><u> </u><u>you</u><u> </u><u>can</u><u> </u><u>know</u><u> </u><u>this</u><u> </u><u>answer</u>

3 0
2 years ago
Suppose we have a group of 10 light users and 10 heavy users. what is the probability that exactly 3 of the 20 users are hiv pos
dmitriy555 [2]

Answer: The answer is 30%.


Step-by-step explanation:  Given that there is a group of 10 light users and 10 heavy users. We are to find the probability that exactly 3 of the 20 users are HIV positive.

We have the following four possible cases -

(i) All 3 are light users.

(ii) 1 is a light user and 2 are heavy users.

(iii) 2 are light users and 1 is a heavy user.

(iv) All 3 are heavy user.

Since there is a 45% chance of a light user to be HIV positive and 55% chance of a heavy user to be HIV positive, so the required probability is given by

p\\\\=\dfrac{3\times 0.45+1\times 0.45+2\times 0.55+2\times 0.45+1\times 0.55+3\times 0.55}{20}\\\\=\dfrac{6}{20}\\\\=0.3\\\\=30\%.

Thus, the probability is 30.

4 0
2 years ago
Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?
alexgriva [62]

We will use the slope formula and fill it in accordingly.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6

m=\frac{-3-6}{5-(-2)}=\frac{-9}{7}.

The slope of your line is -9/7

5 0
2 years ago
Read 2 more answers
estimate the total weight of two boxes that weigh 9.4 lb and 62.6 lb using rounding and compatible numbers. which estimate is cl
Scorpion4ik [409]
<span><span>1.       </span>We have 2 boxes weighs:
=> 9.4 lb and 62.6 lbs.
Now, let’s estimate the total weight of this 2 boxes using rounding and compatible numbers.
For 9.4 lbs , the rounded and compatible number is 9 lbs
And for 62.6 lbs, the rounded and compatible number is 63 lbs
=> now, let’s try adding both numbers if we get a close answer
=> 9 +63
=> 72 = the estimated and rounded answer is 72.
Let’s check if we have close answer
=> 9.4 + 62.6
=> 72</span>



5 0
2 years ago
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