All categories

2 years ago

46 + [3(2+5)] + 5} Simplify expression using order of operations

Mathematics

2 answers:

salantis [7]2 years ago

7 0

Answer:

Step-by-step explanation:

To solve 46 + {[3(2+5)]+5}, you would first do what is inside the () so that would be 2+5, then you would move outward multiplying 7 by 3 to get 21, then adding 5 to get 26. Then you would finally add 46 to get 72

ElenaW [278]2 years ago

3 0

uhhhh

Step-by-step explanation:

You might be interested in

Simplify the complex numbers using de Moivre's Theorem and match them with their solutions.

alexandr1967 [171]

For the numbers in $a+bi$ form, convert to polar form:

$1+i=\sqrt2\dfrac{1+i}{\sqrt2}=\sqrt2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)$

By DeMoivre's theorem,

$(1+i)^5=(\sqrt2)^5\left(\cos\dfrac{5\pi}4+i\sin\dfrac{5\pi}4\right)=4\sqrt2\dfrac{-1-i}{\sqrt2}=-4-4i$

$-1+i=\sqrt2\dfrac{-1+i}{\sqrt2}=\sqrt2\left(\cos\dfrac{3\pi}4+i\sin\dfrac{3\pi}4}\right)$

$\implies(-1+i)^6=(\sqrt2)^6\left(\cos\dfrac{18\pi}4+i\sin\dfrac{18\pi}4\right)=8i$

$\sqrt3+i=2\dfrac{\sqrt3+i}2=2\left(\cos\dfrac\pi6+i\sin\dfrac\pi6\right)$

$\implies2(\sqrt3+i)^{10}=2^{11}\left(\cos\dfrac{10\pi}6+i\sin\dfrac{10\pi}6\right)=2^{11}\dfrac{1-i\sqrt3}2=2^{10}(1-i\sqrt3)$

For the numbers already in polar form, DeMoivre's theorem can be applied directly:

$2\left(\cos20^\circ+i\sin20^\circ\right)^3=2\left(\cos60^\circ+i\sin60^\circ\right)=2\dfrac{1+i\sqrt3}2=1+i\sqrt3$

$2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)^4=2(\cos\pi+i\sin\pi)=-2$

At second glance, I think the 2s in the last two numbers should also be getting raised to the 3rd and 4th powers:

$\left(2(\cos20^\circ+i\sin20^\circ)\right)^3=8\left(\cos60^\circ+i\sin60^\circ\right)=4+4\sqrt3$

$\left(2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)\right)^4=16(\cos\pi+i\sin\pi)=-16$

4 0

2 years ago

Solve the inequality. 4 + 9x > 8 − 3x

mestny [16]

Answer:

x > 1/3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Use a table to multiply (–5a)(2a – 1). A) –15a B) 5a2 + 10a C) –10a2 – 5a D) –10a2 + 5a

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Given the expression (–5a)(2a – 1)

Open the bracket

(–5a)(2a – 1)

= -5a(2a) -5a(-1)

= -10a² + 5a

<em>hence the equivalent expression is -10a² + 5a</em>

8 0

3 years ago

Find the value of x. Enter your answer as a fraction.<br> 50 points asap!

Travka [436]

Answer:

3/2

Step-by-step explanation:

that is it. if u do ur measure correctly

3 0

2 years ago

What is 21/56 simplified

lozanna [386]

$21=3\cdot7\\56=8\cdot7\\\\\frac{21}{56}=\frac{3\cdot\not7^1}{8\cdot\not7_1}=\boxed{\frac{3}{8}}$

3 0

3 years ago

Read 2 more answers