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Anika [276]
3 years ago
9

Standard form 0.000085

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer -

i think its 8.5*10^{-5}

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What is the solution for x in the given equation? The square root of 9x +7 + the square root of 2x = 7
cestrela7 [59]

Answer:

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

Step-by-step explanation:

We need to find the solution for x in the given equation.

\sqrt{9x+7} +\sqrt{2x}=7

Solving:

Subtract \sqrt{2x} from both sides

\sqrt{9x+7} =7-\sqrt{2x}

Taking square on both sides

(\sqrt{9x+7})^2 =(7-\sqrt{2x})^2\\Using\,\, (a-b)^2 = a^2-2ab-b^2\\9x+7=(7)^2-2(7)(\sqrt{2x})+(\sqrt{2x})^2\\9x+7=49-14\sqrt{2x}+2x\\9x-2x+7-49=-14\sqrt{2x}\\7x-42=-14\sqrt{2x}\\Taking\,\,square\,\,on\,\,both\,\,sides\\(7x-42)^2=(-14\sqrt{2x})^2\\49x^2-2(7x)(42)+(42)^2= 196(2x)\\49x^2-588x+1764=392x\\49x^2-588x+1764-392x=0\\49x^2-980x+1764=0\\Using \,\,quadratic \,\, equation  \,\,to \,\, find \,\, value \,\, of \,\, x \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a= 49, \, b= -980 \,\,and\,\, c = 1764

Putting values and solving

x=\frac{-(-980)\pm\sqrt{(-980)^2-4(49)(1760)}}{2(49)}\\x=\frac{980\pm\sqrt{614656}}{98}\\Solving\\x=18 \,\, and x =2

Verifying the solution by putting values of x in given equation

Putting x=18

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(18)+7} +\sqrt{2(18)}=7\\\sqrt{169} +\sqrt{36}=7\\13+6=7\\19\neq 7

So, x=18 is not solution o given equation.

Putting x = 2

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(2)+7} +\sqrt{2(2)}=7\\\sqrt{25} +\sqrt{4}=7\\5+2=7\\7=7

So, x=2 satisfies the equation

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

7 0
3 years ago
Mr. Bradley purchased 20 trays of flowers. Each tray had 3 dozen flowers. Mr. Bradley's total for all the flowers was 273.60. Al
aev [14]

Answer: Each flower costs $0.38.

Step-by-step explanation:

1 dozen = 12 units

Flowers in each tray = 3 dozen = 3 x 12 = 36

Flowers in 20 trays = 20 x 36 = 720

Price of 20 trays = $ 273.60

Price of each flower = (Price of 20 trays  ) ÷ (Flowers in 20 trays)

= 273.60 ÷ 720

= $ 0.38

Hence, each flower costs $0.38.

7 0
3 years ago
Look at the table showing prices of different items at a store. Items for Sale Paperbacks $10.65 for 3 Notebooks $14.36 for 4 Pu
777dan777 [17]

Answer:

1 paperback is $3.55 and 1 notebook is $3.59 and those items cost less than $3.75.

Step-by-step explanation:

3 paperbacks= $10.56

1 paperback= $10.56 ÷ 3 = $3.55

4 notebooks= $14.36

1 notebook= $14.36 ÷ 4 = $3.59

3 puzzles= $11.85

1 puzzle= $11.85 ÷ 3 = $3.95

4 picture frames= $15.20

1 picture frame= $15.20 ÷ 4 = $3.80

7 0
3 years ago
Read 2 more answers
To which sets of numbers does π belong?
Tcecarenko [31]
I believe my teacher said irrational numbers.
8 0
3 years ago
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Find the diameter of the circle with a circumference of 50mm. Round your answer to the nearest tenth
AURORKA [14]

Answer:

A) 16.0 mm

Step-by-step explanation:

Use the formula C=2 x pi x r

d=2 x r

Solve for d

d= C/pi = 50/pi = 15.91549

And it says to round to the nearest tenth, so the answer is A) 16.0mm

4 0
3 years ago
Read 2 more answers
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