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shusha [124]
3 years ago
10

Find real numbers a and b such that the equation a+bi=13+9i is true.

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0
Given:
a + bi = 13 + 9i

Equate the real parts:
a = 13
Equate the imaginary parts:
b = 9

Answer:
a =13
b = 9

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Fynjy0 [20]

Answer:

Part 1: Already solved.

Part 2: 1 quesadilla.

Step-by-step explanation:

Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.

The data are already sorted from least to greatest.

Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.

So, your interquartile range is 1 quesadilla.

Hope this helps!

5 0
3 years ago
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lana66690 [7]

Answer:

6x^2-10

Step-by-step explanation:

You add like terms. All the x^2 you add them and you add together the ones that are not multiplied by x. Make sure to distribute the negative.

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3 years ago
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kumpel [21]
The value of the year at the end of 2025 will be given by:
A=P(1+r/100)^n
where:
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P=principle
r=rate
n=number of terms
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p=35000
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n=(2025-2017)*2=16
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5 0
3 years ago
What is the actual distance of 9 cm on a map whose scale shows that 3 cm = 5 km? A. 18 km incorrect answer B. 12 km incorrect an
soldier1979 [14.2K]

Answer:

15 km

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3 cm on the map = 5 km

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Answer:

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Step-by-step explanation:

how many ounces of pure water should be added to 20 ounces of 40% solution of muriatic acid to obtain a 30% solution of muriatic acid?

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That same 8 ounces is to be 30%. The water will be the other 70%.

8/30 = x/100

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x = 80/3, the total amount of the solution.

We started with 20, so 80/3 - 20 = 20/3

20/3 ounces of water is added.

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3 years ago
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