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3 years ago

List the single digit divisor of 1680

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

7 0

1, 2, 3, 4, 5, 6, 7, and 8 are the single digit divisors of 1,680.

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Xavier earns $11.50 per hour working at the nearby grocery store. Last week, Xavier worked for 13.5 hours. How much money did Xa

Reptile [31]

Answer:

$155.25

11.50 x 13.5 = 155.25

6 0

4 years ago

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Hakeem puts $59 from each paycheck into his saving account. He gets paid every two weeks or 26 times per year. His goal is to sa

Mashutka [201]

Answer: Yes, He will.

Step-by-step explanation:

Here, the amount he puts in each week = $ 59

In one year the number of weeks = 26

Thus, the total amount he can save in one year = $59\times 26 = 1534$

According to the question,

His total saving in one year ≥ 1500

Since, $1534 > 1500$

Thus, he will reach his goal.

4 0

4 years ago

Help please!!

slava [35]

Answer:

$\displaystyle \sin(x) + x\cos( \alpha ) + \rm C$

Step-by-step explanation:

we are given

$\displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } dx$

we want to Integrate it

notice that, the denominator can be rewritten by using algebraic identity

remember that,

$\displaystyle {a}^{2} - {b}^{2} = ( a + b)(a - b)$

therefore

rewrite the denominator by using the identity:

$\displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cos(x) - \cos( \alpha ) ) }{ \cos( x) - \cos( \alpha ) }dx$

reduce fraction:

$\displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cancel{ \cos(x) -\cos( \alpha ) ) }}{ \cancel{\cos( x) - \cos( \alpha ) } }dx$

$\displaystyle \int \cos(x) + \cos( \alpha ) dx$

recall that,

$\rm\displaystyle \int f(x) \pm g(x)dx =\int f(x) \pm \int g(x)dx$

by that

we get

$\displaystyle \int \cos(x) dx + \int \cos( \alpha )dx$

we also know that,

$\displaystyle \int \cos(x) = \sin(x)dx$

and also the Integration of a constant is always cx

so,

$\displaystyle \sin(x) + x\cos( \alpha )$

and of course we have to add constant

$\displaystyle \sin(x) + x\cos( \alpha ) + \rm C$

5 0

3 years ago

How do you solve this?

ivann1987 [24]

$\dfrac{1}{4}+x=\dfrac{20}{3}\Big|\cdot12\\\\3+12x=80\\\\12x=77\\\\x=\dfrac{77}{12}$

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4 years ago

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How do I simplify (Y^7)^3?

kolezko [41]

$(y^7)^3 = y^{7+3} = y^{21}.$

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4 years ago

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