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kari74 [83]
3 years ago
12

Rewrite 8.24 × 10^6 in standard notation.

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

The last choice 8,240,000.

Step-by-step explanation:

The exponent 6 tells us there are 6 digits after the first digit (8).

Answer is 8,240,000

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Solve the following quadratic equation by completing the square: x² + 12x = 15
Lerok [7]
Answer:

x = -1.14 or -13.14

Explanations:

The given equation is:

x^2+12x\text{  =  15}

Find the half of 12, and add the square to both sides of the equation.

That is add 6² to both sides

x^2+12x\text{ + 6}^{2}\text{  =  15 + 6}^{2}\begin{gathered} (x+6)^2\text{ =  15  +  3}6 \\ (x+6)^2\text{ = 51} \\  \end{gathered}

Find the square root of both sides:

\begin{gathered} \sqrt[]{(x+6)^2_{}}=\pm\sqrt[]{51} \\ \text{x  +  6  = }\pm\sqrt[]{51} \\ x\text{  =  -6  }\pm\sqrt[]{51} \\ \text{x  = }-6\pm7.14 \\ x\text{  = -6+7.14  = }1.14 \\ x\text{ = -6 - 7.14} \\ \text{x = -13.14} \end{gathered}

x = -1.14 or -13.14

3 0
1 year ago
Suppose that 18 inches of wire costs 72 cents.
NeX [460]

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

<em>c = 164</em>

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

<em>164 cents</em>

7 0
3 years ago
Does (0, 0) make the equation y = 9x − 5 true?
Vera_Pavlovna [14]

Answer:

no

Step-by-step explanation:

y = 9x − 5

The point (0,0) means x=0 and y=0

Substitute this into the equation and see it is true

0 = 9*0 -5

0 = 0-5

0 = -5

This is not true so the point is not a solution.

7 0
3 years ago
Uiz / 3 of 5
andre [41]

Answer:

$22.50....................

4 0
2 years ago
Which pair of numbers is relatively prime
mote1985 [20]

Answer:

Well, Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:  Hope this helped! <3

6 0
3 years ago
Read 2 more answers
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