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3 years ago

MUST BE CORRECT ANSWER HELP ASAP

Mathematics

1 answer:

Nina [5.8K]3 years ago

6 0

Answer:

40287600 = B. 4 x $10^{7}$

Step-by-step explanation:

<u>We first have to do the multiplication of the numbers given:</u>

19 * 2,120,400

=> 40287600

<u>Now we have to figure out how many digits are after the number 4:</u>

4, 0 2 8 7 6 0 0

7 digits

Meaning that we need an exponent of 7 for it to be in scientific notation, giving us with the answer B. 4 x $10^{7}$

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In an examination, 50%examinees got grade 'A' in mathematics, 75% got grade 'A' in Science, and 35 students got grade 'A' in bot

jasenka [17]

Answer:

Step-by-step explanation:

yes it is subtracting by 75-35 then we got the answer who got A in the science only

3 0

3 years ago

What is (2-2i√3)4 equivalent to?

maxonik [38]

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

<h3>What are complex numbers?</h3>

Complex numbers are numbers of the form z = x + iy

<h3>a. Complex numbers in polar form</h3>

Complex numbers in polar form z = r(cosθ + isinθ) where

r = √(x² + y²) and
θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

x = 2 and
y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

<h3>Powers of complex numbers</h3>

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

<h3>b. Complex numbers in rectangular form</h3>

The complex number z = r(cosθ + isinθ) in rectangular form is z = x + iy where

x = rcosθ and
y = rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y = rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

Learn more about complex numbers in polar form here:

brainly.com/question/9678010

#SPJ1

7 0

2 years ago

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3). Which equation represents the graphed functi

Talja [164]

Answer:

$y=\frac{3}{2}x-3$

Step-by-step explanation:

we have the points

(0,-3),(2,0) and (4,3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we take

(0,-3),(2,0)

substitute the values in the formula

$m=\frac{0+3}{2-0}$

$m=\frac{3}{2}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{3}{2}$

$b=-3$ -----> the point (0,-3) is the y-intercept

substitute

$y=\frac{3}{2}x-3$

The graph in the attached figure

5 0

3 years ago

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Find the area of rectangle qrst if the area of rectangle defg is 108 cm2 and the scale factor is 3/4.

Levart [38]

Considering the scale as qrst being 3/4 of defg

108x3 = 324

324/4 = 81

Area is 81 cm^2

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3 years ago

I need a real answer fast thank you

cupoosta [38]

12.2 I believe but I'm not sure

4 0

3 years ago