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Arisa [49]
3 years ago
12

Simplify: (-1+4i)(-12-9i)

Mathematics
2 answers:
tia_tia [17]3 years ago
7 0
(-1+4i)(-12-9i)=(-1)(-12)+(-1)(-9i)+(4i)(-12)+(4i)(-9i)

= 12+9i-48i+36=48-39i
sergiy2304 [10]3 years ago
5 0
-1 (-12 - 9i) + 4i (-12 - 9i)

= 12 + 9i + -48i + 9i^2

= 9i^2 + 39i + 12
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Find the value of x in the given
Salsk061 [2.6K]

Answer:

8.0

Step-by-step explanation:

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 37 = x/10

x = 10cos 37

x = 7.99

The vale to the nearest tenth is 8.0

5 0
3 years ago
Dr. Hilton uses the graph to determine if a patient has a
seropon [69]

Answer:

At least 100 degrees

Step-by-step explanation:

Here, we want to make an inequality assertion from the graph drawn by Dr Hilton.

The correct conclusion here is that a person has a fever once his/her temperature is greater than or equal to 100 degrees.

How do we know this from the graph? from the graph, we can see a yellow circular mark placed on 100. This indicates that we are starting our consideration from the point 100 degrees. What we don not know is if our answer is less than, greater than, less than or equal to or greater than or equal to.

The correct answer is however greater than or equal to. Firstly we check the fill of the yellow circular mark. Once it is filled and not left blank, then it indicates an equal to relationship, meaning 100 degrees itself is included in the range.

finally we then consider the direction it faces and from here we can conclude that it is greater than or equal to

6 0
3 years ago
Read 2 more answers
Nadia deposited $3000 into an account that earns annual simple interest. 13 points
Kipish [7]

Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.

Step-by-step explanation:

The given is,

             Nadia deposited $3000

             After 6 years, she had earned $990 in interest

             Simple interest

Step:1

            Formula to calculate the future amount with simple interest is,

                             F = P(1+(r)(t))...........................(1)

          Where, F - Future amount

                       P - Initial investment

                        r - Rate of interest ( simple interest )

                        t - No. of years

Step:2

           From the given,

                       I = $990

                      P = $3000

                      F = Initial investment + Interest amount

                      F = P + I = 3000 + 990 = $3990

                       t = 6 years

          Equation (1) becomes,

                 3990 = 3000 ( 1 + (r)(6) )

                    \frac{3990}{3000} = (1+(r)(6))

                    1.33 = 1 + (r)(6)

                1.33 - 1 = (r)(6)

                    0.33 = (r)(6)

                         r = \frac{0.33}{6}

                          r = 0.055 × 100

                         r = 5.5%

Result:

        Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.

4 0
3 years ago
Or the figure shown on the​ right, find m∠3 and m∠4.
ioda

Answer:

m<3=84

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Step-by-step explanation:

180-43-41=96

180-96=84

4 0
3 years ago
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The math club at Emily’s middle school
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Answer:

34 members

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The math club at Emily's middle school has the number of members = 40

On Saturday only 85% of the members were attend the meeting.

Number of members who attend the Saturday meeting

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= 0.85 × 40

= 34 members

34 members attend the Saturday meetings.

7 0
3 years ago
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