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ahrayia [7]
4 years ago
9

In scientific notation negative exponents represent very large numbers greater than 10. True or false

Mathematics
1 answer:
jeyben [28]4 years ago
7 0

Answer:False

Step-by-step explanation: negative exponents increase the decimal. So 10^-1=0.1

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a 2014 mustang originally costs $25000.00 and depreciates at a rate of 8% per year. What is the cost of the car after 7 years?
frutty [35]
$11,000 will bet the cost in 7 years

Given:

Original cost: $25,000

Depreciation rate: 8%

Term: 7 years

Formula for Depreciation:

A = C ( 1 - ( r ) (t) )

A = Future Value

C = Original Cost

r = rate

t = term

Solution:

Substitute the given values to the formula for depreciation.

A = $25,000( 1 - ( 0.08)(7))

A = $25,000( 1 - .56 )

A = $25,000(0.44 )

A = $11,000


8 0
3 years ago
Find the value of the integral that converges.<br> ∫^[infinity]_10 x^-1 dx.
Leto [7]

This integral diverges.

\displaystyle\int_{10}^\infty\frac{\mathrm dx}x=\lim_{t\to\infty}\ln|x|\bigg|_{10}^t=\lim_{t\to\infty}\ln t-\ln10=\infty

3 0
3 years ago
Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 E
gtnhenbr [62]

The correct question as understood from the statement is:

Determine which equations have the same solution set as 2/3 – x + 1/6 = 6x by recognizing properties, rather than solving. Check all that apply.

a) 4 - 6x + 1 = 36x

b) 5/6 - x = 6x

c) 4 - x + 1 = 6x

d) 5/6 + x = 6x

e) 5 = 30x

f) 5 = 42x

Answer:

Options: a, b and f

Step-by-step explanation:

The given equation is:

\frac{2}{3}-x+\frac{1}{6}=6x

Adding x to both sides, we get:

\frac{2}{3}+\frac{1}{6}=7x\\\\ \frac{4}{6}+\frac{1}{6}=7x\\\\  \frac{5}{6}=7x\\\\  5=42x\\\\ x=\frac{5}{42}

Option a) 4 - 6x + 1 = 36x

Moving 6x to the right hand side of the equation and simplifying the answer, would give us 5 = 42x, which is the same as the second last equation in above simplification. Thus this equation has the same roots.

Option b) 5/6 - x = 6x

Moving x to other side will give us the same equation as we got in 3rd last step of the above simplification. Thus this equation has the same roots.

Option c) 4 - x + 1 = 6x

Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.

Option d) 5/6 + x = 6x

Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.

Option e) 5 = 30x

This does not match with the second last step of the above simplification. So, this equation does not have the same root.

Option f) 5 = 42x

This equation matches with the second last step of the above simplification.  Thus this equation has the same roots.

3 0
3 years ago
Read 2 more answers
What is the greatest common factor of 12 and 6?​
Sergio [31]
The greatest common factor of 12 and 6 is 6.
5 0
2 years ago
Read 2 more answers
Christy is making a savings plan. She wants to know how much she will save if she saves $40 for 6,7,8 or 9 weeks.
Nuetrik [128]

Answer:

Saving for 6 week = $240

Saving for 7 week = $280

Saving for 8 week = $320

Saving for 9 week = $360

Step-by-step explanation:

Given:

Number of weeks = 6,7,8 or 9

Per week saving = $40

Find:

Saving for number of weeks:

Computation:

Total saving = $40 × Number of week

1. Saving for 6 week = $40 × 6

Saving for 6 week = $240

2. Saving for 7 week = $40 × 7

Saving for 7 week = $280

3. Saving for 8 week = $40 × 8

Saving for 8 week = $320

4. Saving for 9 week = $40 × 9

Saving for 9 week = $360

7 0
4 years ago
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