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BartSMP [9]
3 years ago
13

3.8 times 10-8 to standard notation

Mathematics
1 answer:
OLga [1]3 years ago
8 0
Standard notation is when the number is fully written. If your question is 3.8 times 10 to the negative 8th, then the answer is 0.000000038. If your question is 3.8 times 10 the positive 8th, then the answer is 380,000,000.
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60%; Since 1/5 is .2 or 20% and then multiply that by 3.

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Does anyone know this ?
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Describe the relationship between the values of the digits of 9,999,999
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They're all divisible by 9 and 3. They're all equal to each other.
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Use the iterative rule to find the 11th term in the sequence.
dolphi86 [110]

Answer:

-4

Step-by-step explanation:

The general, nth term, of a sequence is given by the formula:

a_n=18-2n

We can plug in n = 1 to find the first term, thus we have:

a_1=18-2(1)\\a_1=16

We can plug in n = 2, to the find the 2nd term, which is:

a_2=18-2(2)\\a_2=14

Similarly, to get 11th term, we simply plug in n = 11 into the general term rule. so we have:

a_n=18-2n\\a_{11}=18-2(11)\\a_{11}=18-22\\a_{11}=-4

11th term is -4

3 0
3 years ago
The hypotenuse of a right triangle is 24 ft. long. the length of one leg is 44 ft. more than the other. find the lengths of the
Mekhanik [1.2K]
The way to solve the missing side of a right triangle is normally by the Pythagorean Theorem:
{a}^{2}  +  {b}^{2}  =  {c}^{2} \\  {a}^{2}  =  {c}^{2}  -  {b}^{2}  \:  \infty  \: \sqrt{ {a}^{2} }  = \sqrt{( {c}^{2}  -  {b}^{2}) } \\ a= \sqrt{( {c}^{2}  -  {b}^{2}) }
where c always is the hypotenuse
So c = 24 ft
b = 44 + a
{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\  {a}^{2}  +  {(a + 44)}^{2}  =  {24}^{2}  \\  {a}^{2}  +  {a}^{2}  + 88a + 1936 = 576
Now combine like terms:
2{a}^{2}  + 88a + 1936 = 576 \\  2{a}^{2}  + 88a + 1936 - 576 = 0 \\ 2{a}^{2}  + 88a + 1360 = 0
Now we have to try to factor this quadratic equation, first let's take out 2:
2({a}^{2}  + 44a + 680) = 0
we need factors of 680 whose sum = 44
20×34, 10×68, 17×40
however... 20+34=54, 10+68=78, 17+40=57
So we will need to use the quadratic equation unfortunately :(
x = ( - b +  -  \sqrt{( {b}^{2}  - 4ac)}) \div 2a
Now the "x" is actually our "a", the a is 1, b is 44, c is 680
a = ( - 44 +  -  \sqrt{( {44}^{2}  - 4(1)680)})  \\ \div  \: 2(1) \\  a = ( - b +  -  \sqrt{(1936 - 2720)}) \\  \div  \: 2
a = ( - 44 +  -  \sqrt{(-784)}) \\  \div  \: 2  =  - 44 \div 2 \:  +  - (i \sqrt{784}) \div 2 \\ a =  - 22 +  - i \sqrt{16}  \sqrt{49}  \div 2 \\
a =  - 22 +  - 28i \div 2  \\ a =  - 22 +  - 14i
not quite sure where to go from these imaginary numbers...
I DON'T THINK A RIGHT TRIANGLE WITH THOSE DIMENSIONS IS POSSIBLE







8 0
3 years ago
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