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damaskus [11]
2 years ago
5

What is the product?

Mathematics
1 answer:
Marina86 [1]2 years ago
3 0

Answer:

\frac{2}{k+2}

Step-by-step explanation:

Simplify the expression and you will get this.

hope this helps

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What is the absolute value of the complex number -4-√2
Zepler [3.9K]
|a+bi| = √(a² + b²)

-4-√2 i -> take a = -4 and b = -√2

|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
               = </span><span>√[ 16 + 2<span> ]
               </span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
               = 3√2
the absolute value is 3√2</span>

6 0
3 years ago
A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

7 0
3 years ago
Jori has 2 gallons of distilled water and uses 7/6 gallon in a science experiment. What fraction of a gallon does she have left?
Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

6/6 = 1 gallon

12/6 = 2 gallons

12/6 - 7/6 = 5/6

5/6 should be the answer

5 0
2 years ago
A tractor can plant a field at a rate of 2.5 acres per 5 minutes. If a mammoth farm measuring 4 square miles needs planting, how
REY [17]

Step-by-step explanation:

hey I hope to the mall is to be a part the highest in a few days and reaction is the area of parallel with you and I hope you feel better soon I have

7 0
2 years ago
Describe the steps you can use to find an average of fractional amounts.
oksano4ka [1.4K]
Add up the fractional amounts and divide them by however many amounts there are..........

eg.

Step 1:Add the fractions
1/6 + 5/8 +3/4 
(find the LCD)
1/6 + 5/8 + 3/4 = 4/24 + 15/24 + 18/24 = 37/24

Step 2: Divide the sum by the number of numbers in the set
37/24 ÷ 3= 37/24 ÷ 3/1= 37/24 X 1/3= 37/72

<span>So the mean (average) is 37/72</span>
5 0
3 years ago
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