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4 years ago

Which property justifies the fact that 8(d-5) is equivalent to 8d-40

Mathematics

1 answer:

zlopas [31]4 years ago

4 0

It is the distributivity of the multiplication from the subtraction

8*(d-5)=8*d-8*5=8d-40

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What are the zeros of F(x)=3x^2-15x-72<br><br> A)x=-2 or x=-8<br> B)x=-3 or x=8<br> C)x=8 or x=3

My name is Ann [436]

B. would be the correct answer

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4 years ago

A company borrowed $25,000 at 3.5% and was charged $2,625 in interest. How long was it before the company repaid the money?

nirvana33 [79]

Hello

3 years. Since no mention of compounding was made I will assume that it's 3.5% simple interest. So first, let's calculate what percent of the entire loan was interest. Just a simply matter of division. 2625 / 25000 = 0.105 = 10.5% Now lets' divide the percentage of the loan that was paid in interest by the interest rate. 10.5% / 3.5% = 3 So the company took 3 years to repay the loan.
Have a nice day

5 0

4 years ago

Read 2 more answers

A 12 vdc power supply powers a blue high intensity led with a forward voltage of 4.5 volts. The led is rated to withstand a maxi

dimulka [17.4K]

Answer:

Resister of 0.15 W is to be added.

Step-by-step explanation:

In a given circuit we have the attachments

A power supply of 12 V

High intensity LED with forward voltage = 4.5V

LED is rated to withstand a maximum current of 20 mA or $20.10^{-30} A$

We have to calculate the size of a resister to be connected in series.

Here we will apply the Ohm's law for the calculations

Total voltage of the circuit = voltage of LED + voltage across resistance.

$12=4.5+20.10^{-3}.r$

r = (12 - 4.5)/20.10^{-3}

r = 7.5×10^{3}/20 = 375 ohm

Therefore power of the resistance = i².r

$P=i^{2}\times r$

$=(20\times 10^{-3})^{2}\times 375$

= 0.15 W

Therefore a resister of 0.15 W is to be added.

6 0

3 years ago

Kate has 12 1/2 pound of chocolate. She gives each of her 5 friends x pounds each and has 3 1/3 pounds left over. How much did s

eduard

Answer:

1 1/2

Step-by-step explanation:

because each friend gets 1 1/2

8 0

3 years ago

Limθ→π/4 (cosθ−sinθ)/(θ– π/4)

Rzqust [24]

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

$\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}$

5 0

3 years ago