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Vlad1618 [11]
3 years ago
9

(3 + 4i) + (5 − 2i) (2 points) −2 + 6i 2 − 2i 7 + 3i 8 + 2i

Mathematics
1 answer:
k0ka [10]3 years ago
6 0

Answer:

8+2i

Step-by-step explanation:

Combine like terms

3+5=8

4i-2i=2i

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The angle of sector of cicle of diameter 8cm is 135 . find the area of the sector<br>​
Naddik [55]

Answer:

18.85 cm²

Step-by-step explanation:

The formula to find the area of a sector = θ/360 × πr²

We are given:

θ = Angle of the sector = 135°

Radius = Diameter/2

Diameter = 8cm , Hence Radius = 8cm/2 = 4cm

Hence,

Area of a sector = 135/360 × π ×(4cm)²

= 18.849555922 cm²

Approximately to the nearest hundredth = 18.85 cm²

Therefore, the area of the sector is 18.85 cm²

8 0
2 years ago
What is the range of the following function:<br> y = 2(5^x) - 1
Orlov [11]
<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

<h2>Why?</h2>

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

5 0
3 years ago
So there are 28 butterflies. Since there are 47 total, this means there are 47-28 = 19 spiders.
Umnica [9.8K]

Answer:

Yes you are correct! :)

Step-by-step explanation:

6 0
2 years ago
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​$20. Opt
sdas [7]

Answer:

40$

Step-by-step explanation:

they have

20$

5%

40hours

i=prt

multiplication of both

=40×20×5/100

=40$

the amount required at the week is 40$

7 0
2 years ago
A falcon to fly 322 km/h how many meters per hour on the falcon fly
boyakko [2]
1 km = 1,000 m....so 322km = 322,000 m
so the falcon can fly 322,000 m per hr
6 0
2 years ago
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