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2 years ago

What is the value of the product (4 – 2i)(6 + 2i)? 20 – 4i 20 + 16i 28 + 16i 28 – 4i

Mathematics

2 answers:

Darya [45]2 years ago

8 0

(4 – 2i)(6 + 2i)

FOIL

First : 4*6 =24

Outer: 4*2i = 8i

Inner: -2i* 6 = -12i

Last: -2i*2i = -4i^2 =-4(-1) =4

Add together

24+8i-12i+4

28-4i

Answer: 28-4i

Ostrovityanka [42]2 years ago

5 0

Answer:

28-4i

Step-by-step explanation:

There for the answer is D

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A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

Wewaii [24]

Answer:

$y=120,000(1.055)^x$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the value of the home

x is the number of years

a is the initial value

r is the rate of change

we have

$a=\$120,000\\r=5.5\%=5.5/100=0.055$

substitute

$y=120,000(1+0.055)^x$

$y=120,000(1.055)^x$

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2 years ago

Given: PKHE - inscribed, m∠E=120°,

Montano1993 [528]

Answer:

C is the answer they are equal.

Step-by-step explanation:

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2 years ago

Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a

Keith_Richards [23]

Answer:

A(t)=−1.8t−4.5

Step-by-step explanation:

Mr. Mole is descending at a constant rate, so we are dealing with a linear relationship.

We know that Mr. Mole descended at a rate of 1.81.81, point, 8 meters per minute, so the slope \green mmstart color green, m, end color green is \green{-1.8}−1.8start color green, minus, 1, point, 8, end color green, and our function looks like A(t)=\green{-1.8}t+\pink bA(t)=−1.8t+bA, left parenthesis, t, right parenthesis, equals, start color green, minus, 1, point, 8, end color green, t, plus, start color pink, b, end color pink.

We also know that after 555 minutes, Mr. Mole was 13.513.513, point, 5 meters below the ground, which means that A(5)=-13.5A(5)=−13.5A, left parenthesis, 5, right parenthesis, equals, minus, 13, point, 5. We can substitute this into the formula of the function to find \pink bbstart color pink, b, end color pink:

\qquad\begin{aligned}A(5)&=-13.5\\ \green{-1.8}\cdot5+\pink b&=-13.5\\ -9+\pink b&=-13.5\\ \pink b&=\pink{-4.5}\end{aligned}

A(5)

−1.8⋅5+b

−9+b

=−13.5

=−4.5

This means that Mr. Mole's initial altitude is 4.54.54, point, 5 meters below the ground.

AKA the answer is A(t)=−1.8t−4.5

3 0

2 years ago

Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0,

Alex

Answer:

The time-mean speed of the minivans is of 105.8 seconds.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

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