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3 years ago

What does this equal to in standard form? (A+bi)

Mathematics

2 answers:

Fudgin [204]3 years ago

5 0

Answer:

-33 - 21i

Step-by-step explanation:

3i (-7 + 11i)

= -21i + 33i^2 (i^2 = -1)

= -21i + 33(-1)

= -33 - 21i

elena55 [62]3 years ago

3 0

$3i(-7+11i)=-28i+33i^2=\boxed{-33-28i}$

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A 12-foot board is to be cut into 5 pieces. Four of the pieces will be the same length and one piece will be 2 feet longer than

sesenic [268]

Answer:

The answer should be D.

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3 years ago

Using the net below, find the surface area of the triangular prism 5 cm 5 cm 4 cm 4 cm 3 cm 3 cm 3 cm 5 cm

MatroZZZ [7]

Answer:

54000

Step-by-step explanation:

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2 years ago

If ORBIT is coded BEOVG, then how is PLANET coded? /

arlik [135]

Answer:

1. CYNARG

Step-by-step explanation:

This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:

$C = (P + o) \text{mod} 26$

In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.

Finding the offset:

O is coded B

O is the 15th letter in the alphabet, so $P = 15$ .

B is the 2nd letter in the alphabet, so $C = 2$

$C = (P + o) \text{mod} 26$

$2 = (15 + o) \text{mod} 26$

$|o = |2-15| \text{mod} 26$

$o = 13$

$C = (P + 13) \text{mod} 26$

PLANET:

P is the 16th letter in the alphabet.

$C = (16 + 13) \text{mod} 26 = 3$

So P is coded C.

L is the 12th letter in the alphabet:

$C = (12 + 13) \text{mod} 26 = 25$

L is coded Y(25th letter in the alphabet)

A is the 1st letter in the alphabet

$C = (1 + 13) \text{mod} 26 = 14$

A is coded N

N is the 14th letter in the alphabet

$C = (14 + 13) \text{mod} 26 = 1$

N is coded A

E is the 5th letter in the alphabet

$C = (5 + 13) \text{mod} 26 = 18$

E is coded R

So the correct answer is:

1. CYNARG

4 0

3 years ago

F(x) = 3 sin x + 3 cos x

Darina [25.2K]

F ( x ) = 3 sim x + 3 cos x
f ` ( x ) = 3 cos x - 3 sin x
f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )
The inflection points:
- 3 ( sin x + cos x ) = 0
sin x + cos x = 0
sin x = - cos x / : cos x
tan x = - 1
x 1 = 3π / 4
x 2 = 7π / 4
The function is concave up when f``(x) > 0
- 3( sin x+ cos x ) > 0
sin x + cos x < 0
tan x < - 1
f is concave up for:
x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)
f is concave down for:
x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).

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3 years ago

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Which of these is a unit of density? A. km/m³ B. kg/m² C. kg/m³ D. kg/m

zloy xaker [14]

Answer:

$\huge\boxed{C.\ \dfrac{kg}{m^3}}$

Step-by-step explanation:

$density=\dfrac{mass}{volume}\\\\\text{the unit of mass is}\ kg\\\text{the unit of volume is}\ m^3\\\\\text{therefore the unit of density is}\ \dfrac{kg}{m^3}$

3 0

3 years ago

Read 2 more answers