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Lana71 [14]
4 years ago
9

Compute: 5 ∙ (2 + 3i)

Mathematics
1 answer:
dimulka [17.4K]4 years ago
4 0

Answer:

It will be equal to 40

Step-by-step explanation:

We have to compute 5\times (2+3!)

Let first find 3 !

For this we have to use factorial concept

So 3! will be equal to 3! = 3×2×1 = 6

Now According to 6+2 = 8

And now after solving bracket we have to multiply with 5

So 5×8 = 40

So after computation 5\times (2+3!)=40

So the final answer will be 40

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Which shows how to find 7 x 210 mentally by using the Distributive Property?<br> (Image)
alex41 [277]

Answer:

G. 7(200)+7(10)

Step-by-step explanation:

First, you would multiply 200 by 7

Once you do that you should get 1400

After that you mulitply 7 by 10

You should get 70

Add 1400 by 70 and there you go your answer 1,470

6 0
4 years ago
Read 2 more answers
If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
PIT_PIT [208]

Answer:

\cos 2 \theta = \dfrac{119}{169}\\\\\sin2 \theta  = \dfrac{120}{169}\\\\\tan 2\theta = \dfrac{120}{119}

Step-by-step explanation:

\text{Given that,} \cos \theta = \dfrac{12}{13}\\ \\\text{Now,}\\\\\cos 2 \theta = 2 \cos^2 \theta - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{12}{13} \right)^2 - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{144}{169} \right) - 1\\\\\\~~~~~~~~~=\dfrac{288}{169}-1\\\\\\~~~~~~~~~=\dfrac{119}{169}

\sin 2\theta = 2 \sin \theta \cos \theta\\\\\\~~~~~~~~=2\sqrt{1 -\cos^2 \theta} \cdot \cos \theta~~~~~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\~~~~~~~~=2 \sqrt{1- \left( \dfrac{12}{13} \right)^2} \cdot \left(\dfrac{12}{13} \right)\\\\\\~~~~~~~~=\left( \dfrac{24}{13} \right) \sqrt{1- \dfrac{144}{169}}\\\\\\~~~~~~~~=\dfrac{24}{13}\sqrt{\dfrac{25}{169}}\\\\\\~~~~~~~=\dfrac{24}{13} \times \dfrac{5}{13}\\\\\\~~~~~~=\dfrac{120}{169}

\tan 2 \theta = \dfrac{\sin 2\theta}{\cos 2\theta}\\\\\\~~~~~~~~~=\dfrac{\tfrac{120}{169}}{ \tfrac{119}{169}}\\\\\\~~~~~~~~~=\dfrac{120}{169} \times \dfrac{169}{119}\\\\\\~~~~~~~~~=\dfrac{120}{119}

5 0
2 years ago
A sauce recipe uses 4 cans of tomatoes in every 2 1/2 quarts. How many cans of tomatoes are used in each quart of the sauce? Ent
tresset_1 [31]
1 3/5 cans of tomatoes are used in each quart of the sauce
3 0
3 years ago
Read 2 more answers
14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1<br> Statements<br> reasons
Semenov [28]

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —>          5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

4 0
4 years ago
What does p equal in the equation?
Nutka1998 [239]
Time the -2 to p and -5 to get -2p+10+7p=-5
subtract the ten from both side getting -2p+7p=-15
if you add -2 to 7 it would be 5 getting 5p=-15
then you divide 5 from both sides getting p= -3
      p =-3 is the correct answer

3 0
3 years ago
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