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koban [17]
2 years ago
15

Rewrite each expression as a product of two or quotient of two powers ​

Mathematics
1 answer:
Paul [167]2 years ago
6 0

Answer:

The product is 5^{40}*3^{70}

Step-by-step explanation:

To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:

(\frac{5^8*3^7}{5^4})^{10}\\(\frac{5^8}{5^4}*3^7)^{10}\\(5^4*3^7)^{10}\\5^{40}*3^{70}

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Courtney has a total of 88 stamps worth $15.56. Some are 25 cent stamps and some 2 cent stamps. How many of each does she have
Oksi-84 [34.3K]
<span>88 stamps -------------------- >  $15.56
A------------------------------>number of  </span>stamps ------------ ><span>25 cent
B----------------------------- > </span>number of  stamps ------------ >2 cent

A+B=88------------------ > A=88-B
0.25A+.02B=15.56
resolving
0.25(88-B)+0.02B=15.56
22-0.25B+0.02B=15.56
-0.23B=-6.44----------------------- > B=28 stamps of 2 cent
A=88-B-- >88-28=60------------- > A=60 stamps of 25 cent
6 0
2 years ago
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Patty is using a cylinder shape container to hold 48 in³ of liquid. The height of the container is 6 inches tall. What is the be
Sati [7]

Answer:


Step-by-step explanation:

Volume of cylinder = πr2h

height =6 inches

r is the radius of the cylindrical container

48 in3 =πr2 * 6

6= πr2

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42/22 =r2

21/11=r2

r2= 21/11

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4 0
2 years ago
A department store is having a sale of 20% off of kitchen appliances. What is the sale price for a 250 microwave
belka [17]
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8 0
2 years ago
What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) + 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline
MissTica

Answer:

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Step-by-step explanation:

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2 years ago
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A plant can either have a smooth seed (p) or a rough seed (q). Rough seeds are recessive and smooth seeds are dominant. In a pop
adell [148]
To calculate this, the Hardy-Weinberg principle can be used:

p² + 2pq + q² = 1 and p + q = 1

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a) Since 32 plants have rough seed (recessive genotype: q²) out of 100 plants in total, then 

q² = 32/100 = 0.32


b) q = √q² = √0.32 = 0.56


c) Since p + q = 1, then

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d) 19 plants with rough seeds (recessive genotype: q²) in a population of 100 means that q² = 19/100 = 0.19

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q = √q² = √0.19 = 0.44

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p = 1 - q = 1 - 0.4 = 0.56

3 0
2 years ago
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