2 years ago

Which of these is the algebraic expression for "3 less than the product of 4 and some number?"

Mathematics

1 answer:

svet-max [94.6K]2 years ago

7 0

Answer:

4s - 3

hope this helps!

Step-by-step explanation:

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5.2 Lesson 16

adoni [48]

Answer:

The area of a rectangular vegetable garden is 200ft^2 . The width is 10 ft. What is the lenght of the vegetable garden?

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2 years ago

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,

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

7 0

2 years ago

What is the value of 4a3 – 2b2 + 5 when a = 3 and b = −2? Which is equal to 33 • 35? A. 3^−2 B. 3^2 C. 3^8 D. 3^15

xz_007 [3.2K]

$1)4a^3-2b^2+5= 4* 3^3 - 2*(-2)^2+5= \\ \\ =4*27-2*4+5= \\ \\ =108-8+5= \\ \\ =100+5 \\ \\ =\boxed{105}$

2) 33*35=1155

A= 3⁻²= 1/3²= 1/9

B=3²=9

C=3⁸= 6561

D=3¹⁵= 14.348.907

$3)11^{24} \\ \\ 4) \frac{10^{12}}{10^{-3}}=10^{12}* 10^{3}=10^{15}$

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2 years ago

HELP WITH THIS QUESTION ;/

Zigmanuir [339]

Answer:

alalalalalalalalaa

Step-by-step explanation:

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2 years ago

If the current temperature is -11°F, what change in temperature would result in a final temperature of -27°F?

kirill [66]

-7 F I think is the answers

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2 years ago