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lorasvet [3.4K]
3 years ago
9

0.000033 in scientific notation?!

Mathematics
2 answers:
fgiga [73]3 years ago
7 0
3.3 times -10 to the fifth power.
Crank3 years ago
5 0

we know that

0.000033=\frac{33}{1,000,000} =\frac{33}{1*10^{6}}  =33*10^{-6} =3.3*10^{-5}

therefore

the answer is 3.3*10^{-5}


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2.
sasho [114]

Answer:

Option A) f(n)=-5-4n is correct.

The equation would produce the same sequence of numbers as the recursive formula is f(n)=-5-4n

Step-by-step explanation:

Given that a=-9 and a_{n}=a_{n-1}-4

The recursive formula is a_{n}=a_{n-1}+d

Therefore d=-4

Let a_{1}=-9 and d=-4

We can find a_{2},a_{3},...

a_{2}=a_{1}+d

=-9-4=-13

Therefore a_{2}=-13

a_{3}=a_{2}+d

=-13-4=-17

Therefore a_{3}=-17  and so on.

Therefore the arithmetic sequence is {\{-9,-13,-17,...}\}

Option A) f(n)=-5-4n is correct.

f(n)=-5-4n

put n=1 in f(n)=-5-4n

f(1)=-5-4(1)

=-9

Therefore f(1)=-9

put n=2 in f(n)=-5-4n

f(21)=-5-4(2)

=-5-8

Therefore f(2)=-13

put n=3 we get f(n)=-5-4n

f(3)=-5-4(3)

=-5-12

Therefore f(3)=-17  and so on .

Therefore the sequence is  {\{-9,-13,-17,...}\}

Therefore the equation would produce the same sequence of numbers as the recursive formula is f(n)=-5-4n

3 0
3 years ago
A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the
Aloiza [94]

Answer:

P’(-1, 1), I’ (1, 2), G’(1,0)

Step-by-step explanation:

7 0
3 years ago
What is the area of this triangle?<br> 6 cm<br> 11 cm
Lana71 [14]

Answer: 33

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider this s
Brut [27]

Answer:

<u>The solution of this system of equation is ( 3, - 8)</u>

Step-by-step explanation:

1. Let's solve the system of equations:

First equation:

x + 2y = - 13

x = - 13 - 2y

Second equation:

12x + 5y = -4

12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)

-156 -24y + 5y = - 4

-24y + 5y = - 4 + 156 (Like terms)

-19y = 152

y = - 152/19

<u>y = -8</u> (Dividing by 19)

Solving x

x + 2y = -13

x + 2 (- 8 ) = - 13

x - 16 = - 13

x = - 13 + 16

<u>x = 3</u>

2. Proving that x = 3 and y = - 8 are correct:

12x + 5y = -4

12 * 3 + 5 * -8 = -4

36 - 40 = - 4

- 4 = - 4

<u>We proved that x = 3 and y = - 8 are correct</u>

8 0
4 years ago
According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who w
svlad2 [7]

Answer:

The year is  b =  1995

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       d =  a - k

=>    d =  31 - 28

=>   d =  3\%

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       n = \frac{3\%}{0.6\%}

=>     n = 5\ years

Generally the year which the considered percentage will be attained is  

    b =  1990 + n

=> b =  1990 + 5

=> b =  1995

6 0
3 years ago
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