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2 years ago

1.5 as a mixed number in the simplest form

Mathematics

2 answers:

drek231 [11]2 years ago

6 0

$1.5=1+0.5=1+\frac{5}{10}=1+\frac{1 \times 5}{2 \times 5}=1+\frac{1}{2}=\boxed{1 \frac{1}{2}}$

Natalka [10]2 years ago

5 0

1.5 as a mixed number in simplest form is 1 5/10. In simplest form it is 1 1/2 because 5 is half of 10 and you keep the whole number the same and also how I got it was the 5 is in the tenths spot and so it is 5/10 and it is one whole so that is how I got my answer.

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Use DeMoivre's theorem to evaluate the expression

natima [27]

Answer:

B. $\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}$

Step-by-step explanation:

DeMoivre's theorem:

If the complex number $z=r(\cos \alpha+i\sin\alpha),$ then for natural number n

$z^n=r^n(\cos n\alpha+i\sin n\alpha).$

In your case,

$z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)$

and you have to evaluate $z^4.$

By DeMoivre's theorem,

$z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.$

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2 years ago

What is -1/8 - 6 7/8

igomit [66]

Answer:

-7

Step-by-step explanation:

I am sorry if I got it wrong.

7 0

3 years ago

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gene sold 10 glasses of lemonade while setting up his lemonade stand. after opening, he sold an average of20 glasses each hour.

Dovator [93]

Well we know that he sold 20 glasses every hour. if h is the number of hours he worked we know the expression would be 20h
1 hr = 20 glasses
2 hr = 40 glasses
3 hr = 60 glasses
Keep the pattern going to figure out which hour he got his 100th glass sold.

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3 years ago

PLEASE HELP! will mark brainliest!!

lakkis [162]

Answer:

your answer will be 11 for that question

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2 years ago

Which value of b would make x²+bx-30 factorable?<br> A. -31<br> B. -17<br> C. 11<br> D. 13

dimulka [17.4K]

Answer:

D. 13

Step-by-step explanation:

well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-

x= -b± $\sqrt{b^{2}-4ac}$ /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since $\sqrt{13^{2}-4*1*(-30)$ = $\sqrt{289}$ = 17. So b=13.

5 0

3 years ago

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