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DochEvi [55]
3 years ago
7

Multiply. (2−5i)(3+i) Enter your answer, in standard form, in the box.

Mathematics
2 answers:
kykrilka [37]3 years ago
7 0

11-13i       ............................

kifflom [539]3 years ago
4 0

2*3=6

2*i =2i

3*-5i=-15i

and -5i*i=-5i^2 i^2=-1 so you actually have 5

5-15i+2i+6 simplifies to 11-13i

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Evaluate the expression when x = –11.
Aleksandr [31]
2x - 19
Let's substitute the value of x in the equation

2 ( -11 ) - 19
-22 - 19
-41

So correct option is D. 

Hope this helps you..  :)
5 0
3 years ago
Read 2 more answers
Which fact would help you to solve for x in the diagram shown?
Gnoma [55]

Answer:

(A) Angles in equilateral triangle are congruent

Step-by-step explanation:

From the figure, it can be seen that in triangle ABD, AB=BD=AD which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.

Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.

Thus, option A is correct.

5 0
3 years ago
Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy
Alborosie

Answer:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

df = n-1=75-1 =74

The p value is:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

\bar X = 3.13 , s =0.03 , n =75

The statistic to check the hypothesis is given by:

t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}

Replacing the info given we got:

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

The degrees of freedom are given by:

df = n-1=75-1 =74

The p value since is a right tailed ted is given by:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0
3 years ago
Of all rectangles with a perimeter of 7​, which one has the maximum​ area? (give the​ dimensions.)
Elena L [17]
The rectangle with maximum area will actually be a square.

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3 0
3 years ago
Solve the equation 3 - 2x = 9<br><br> a) x = 3<br> b)x = -3<br> c) x = 6<br> d) x = -6
Elza [17]

Answer:

<h2><em>X=</em><em>-</em><em>3</em></h2>

<em>Option </em><em>B </em><em>is </em><em>correct </em><em>.</em><em>.</em><em>.</em>

<em>solution \\ 3 - 2x = 9 \\ or \:  - 2x = 9 - 3 \\ or \:  - 2x = 6 \\ or \: x =  \frac{6}{ - 2}  \\ x =  - 3</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
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