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guapka [62]
3 years ago
12

Find the value of the following expression (2^8 • 3^-5 • 6^0) write your answer in simplified form show all your steps Help Fast

Mathematics
1 answer:
vitfil [10]3 years ago
6 0
{( {2}^{8} \times {3}^{ - 5} \times {6}^{0} })^{ - 2} \\ = \frac{1}{ {( {2}^{8} \times {3}^{ - 5} \times {6}^{0} })^{2} } \\ = \frac{1}{ {(256 \times \frac{1}{ {3}^{5} } \times 1 })^{2} } \\ = \frac{1}{ {(256 \times \frac{1}{243} \times 1 })^{2} } \\ = \frac{1}{ ({ \frac{256}{243} })^{2} } \\ = \frac{1}{ \frac{ {256}^{2} }{ {243}^{2} } } \\ = \frac{1}{ \frac{65536}{59049} } \\ = \frac{59049}{65536}
The answer is 59049/65539
The value is 0.901
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The total cost of Anfä's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup:
daser333 [38]

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

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Therefore, the cost of each cavity filling was $ 134.60.

5 0
2 years ago
Angle 7 and angle 8 are complementary. angle 5 equals angle 8 and angle 6=29. ​
olya-2409 [2.1K]

Answer:

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5 0
3 years ago
Billy wants to live in the area defined by y < 3x − 6. Explain how you can identify the houses in which Billy is interested i
Nadusha1986 [10]
Check the picture below.

to graph an inequality, you pretty much first off, need to graph the "equality" or equation, so for y < 3x − 6, first off, graph the line <span>y = 3x − 6.

and then you do a "true" or "false" check.

now, if you look at the line below, it splits the grid in two sections, so, let's check a point in either section, if one is false, the other is true and the other way around.

so, let's check the region on the left-hand-side, hmmmm say point 0,0, the origin.

y < 3x - 6

y = 0,  x = 0  thus

0 < 3(0) - 6

0 < -6   <--- now, is that really true? is 0 lesser than -6? not quite, is false.

recall that on the negative side, the closer to 0, the larger the value, so -1 is much larger than -1,000,000.

because the point 0,0 yielded a false inequality, that region is the "false region" and thus not shaded, therefore, the other side must be the "true region", and thus we shade that then.

we can run a quick check on that btw, say on point 4,4

y =4,   x = 4  thus

4 < 3(4) - 6

4 < 12 - 6

4 < 8    <---- yeap, is true, 4 is lesser/smaller than 8.

hmm ohh yes, the line needs to be dashed for a < or >, because it "has that boundary but it does not include it", unlike </span>⩽ and ⩾, which is a solid line, because it has that boundary and it includes it too.

3 0
3 years ago
The larger the number in standard notation, the ____________ the exponent on base 10.
PIT_PIT [208]
Larger I think, sorry if that’s wrong.
7 0
3 years ago
Read 2 more answers
When you divide a whole number by a fraction with a numerator of how can you find the quotient
UNO [17]
All you have to do is change the whole number to a fraction. Say you have 4 divided by 1/2. All you have to do to make a whole number a fraction is put it over 1. So now you would have 4/1 (4 being the numerator) divided by 1/2. When you divide fractions always remember this; Keep, Switch, Flip. Keep 4/1, Flip the division sign to multiplication, and Flip 1/2 to make it 2/1. Then you multiply the numerators and the denominators. So 4/1 * 2/1 = 8/1. Hope this helped. 
7 0
3 years ago
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