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3 years ago

If a penny is 0.061 inch thick what is the value of the 6 in the thickness of a penny

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

The 6 is in the hundredth's place of the number. Since the units of the number are inches, the 6 represents 6 hundredths of an inch.

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Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x

Lynna [10]

ANSWER

1.39

EXPLANATION

The given quadratic equation is

$0 = 2 {x}^{2} + 3x - 8$

This is the same as,

$2 {x}^{2} + 3x - 8 = 0$

Comparing to

$a {x}^{2} + bx + c = 0$

We have

a=2, b=3,c=-8

Using the quadratic formula, the solution is given by:

$x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a}$

We substitute the values to get,

$x = \frac{ - 3\pm \: \sqrt{ {3}^{2} - 4(2)( - 8)} }{2(2)}$

$x = \frac{ - 3\pm \: \sqrt{ 73} }{4}$

The positive root is

$x = \frac{ - 3 + \: \sqrt{ 73} }{4} = 1.39$

to the nearest hundredth.

4 0

3 years ago

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What is 3÷11= A. 11/3 B. 3/11 C. 3/8 D. 8/3

Katen [24]

Answer:

B. 3/11

Step-by-step explanation:

the division symbol: ÷ essentially is the same as /

if you replace ÷ with / its the same thing.

3 0

2 years ago

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A=1/2w(b+c) solve for c

kaheart [24]

9514 1404 393

Answer:

c = 2A/w -b

Step-by-step explanation:

Multiply by the inverse of the coefficient of the parentheses.

$A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}$

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3 years ago

Solve for X. <img src="https://tex.z-dn.net/?f=log_%7B8%7D%20x-log_%7B8%7D%20%28-2x%2B4%29%20%3D%20log_%7B8%7D%203" id=

taurus [48]

Answer: $x=\frac{12}{7}$

Step-by-step explanation:

Remember the logarithms properties:

$log(m)-log(n)=log(\frac{m}{n})\\\\b^{log_b(a)}=a$

Then,simplifying:

$log_{8}(\frac{x}{-2x+4}) = log_{8}(3)$

Apply base 8 to boths sides and then solve for "x":

$8^{log_{8}(\frac{x}{-2x+4})}=8^{log_{8}(3)}\\\\\frac{x}{-2x+4}=3\\\\x=3(-2x+4)\\\\x=-6x+12\\x+6x=12\\7x=12\\\\x=\frac{12}{7}$

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3 years ago

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An investment of $4000 earns $1700 simple interest after 5 years. what is the annual simple interest rate in the investment?

dezoksy [38]

Answer:

8.5% interest rate

Step-by-step explanation:

Principle: $4000

Interest rate: x

Time : 5 years

4000( 5 ) ( x ) = Interest

4000x = 1700/5

4000x = 340

x = 0.085 or 8.5% interest rate

Check:

8.5% x 4000 x 5

= 340 x 5

= 1700

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3 years ago