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nadya68 [22]
2 years ago
7

9 x 10 to the power of 2 how many times as much as 3 x 10 to the -2 power

Mathematics
1 answer:
hjlf2 years ago
6 0

Answer:

  3×10^4

Step-by-step explanation:

The desired factor is found by calculating the ratio of the two numbers:

  k = (9×10^2)/(3×10^-2) = (9/3)×10^(2 -(-2)) = 3×10^4

The first number is 3×10^4 = 30,000 times as much as the second number.

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8 0
3 years ago
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5 0
3 years ago
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tiny-mole [99]
4x + 12 = 72
Mmhmm yes
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3 years ago
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7 0
3 years ago
A man rides a bicycle a distance of 48 miles in a certain amount of time. If the man increased his speed by 2 miles per hour, he
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so, in his usual speed, say is hmm "r" mph, so in his usual "r" speed, he rolls on for the 48 miles and it takes him "t" hours to get there.

now, if he increases his speed by 2 mph, then his new speed is "r + 2", and he arrives there 4 hours earlier, so if he took "t" hours going at "r" speed, then when he's going faster at "r + 2", he only takes "t - 4" hours, for the same 48 miles.

\bf \begin{array}{lccclll}&#10;&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\&#10;&------&------&------\\&#10;\textit{usual speed}&48&r&t\\&#10;\textit{faster speed}&48&r+2&t-4&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;48=rt\implies \frac{48}{r}=\boxed{t}\\&#10;48=(r+2)(t-4)\\&#10;----------\\&#10;48=(r+2)\left( \boxed{\frac{48}{r}}-4 \right)&#10;\end{cases}&#10;\\\\\\&#10;48=(r+2)\left( \cfrac{48-4r}{r} \right)\implies 48r=(r+2)(48-4r)&#10;

\bf 48r=48r-4r^2+96-8r\implies 0=-4r^2+96-8r&#10;\\\\\\&#10;4r^2+8r-96=0\implies r^2+2r-24=0&#10;\\\\\\&#10;(r+6)(r-4)=0\implies r=&#10;\begin{cases}&#10;-6\\&#10;\boxed{4}&#10;\end{cases}

it cannot be a negative value, since is just a forward speed rate, so can't be -6.
8 0
3 years ago
Read 2 more answers
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