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Brilliant_brown [7]
3 years ago
15

A sequence can be generated ny using (look at image below)? someone please help:)

Mathematics
1 answer:
mixer [17]3 years ago
8 0

Answer:

6, 24, 96, 384

Step-by-step explanation:

a₁ = 6

a₂ = 4 x a₁ = 4 x 6 = 24

a₃ = 4 x a₂ = 4 x 24 = 96

a₄ = 4 x a₃ = 4 x 96 = 384

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Solve the system by substitution x=-8y-15 2x+5y=-8
Ghella [55]

To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation.  This is modeled below:

x = -8y - 15

2x + 5y = -8

2 (-8y - 15) + 5y = -8

Now, we should solve this new equation for y.  To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.

-16y - 30 + 5y = -8

Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.

-11y - 30 = -8

Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.

-11y = 22

After that, we should divide both sides of the equation by -11 in order to get the variable y alone.

y = -2

Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).

x = -8y - 15

x = -8(-2) - 15

To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.

x = 16 - 15

x = 1

Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.  

Hope this helps!

3 0
3 years ago
Read 2 more answers
A jet climbs at a steady rate at an angle of inclination of 0.5 degree during game off what will its he height be after a 2.2 km
Aneli [31]
A right triangle will be formed with 2.2 km as the hypotenuse, 0.5 degrees as the angle, and an unknown height (see attachment).

Recall the trigonmetric ratios sine, cosine, and tangent that can be used for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>θ (theta) refers to the angle (not the right angle). In this case, θ is the given angle of 0.5°.

In this problem, you will use sine because there is a side opposite to the angle (the unknown side h) and the hypotenuse, and sine relates those two sides.

Let the variable h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km

Hope I helped! If you have questions on any of the steps, please comment below.</span>

3 0
3 years ago
Someone please help explain how to find x
dimaraw [331]

Answer:

x=27

Step-by-step explanation:

180-2x-40+180-3x+180-x-50+180-4x = 360

360-2x-40-3x+360-x-50-4x= 360

360-10x-90= 0

10x= 270

x= 27

5 0
3 years ago
David weighs 20 pounds more than katie while jonathan weighs 120 pounds less than three times katie's weight if david and jonoth
ladessa [460]
D = k + 20
j = 3k - 120
d = j

k + 20 = 3k - 120
20 + 120 = 3k - k
140 = 2k
140/2 = k
70 = k.....so Katie weighs 70 lbs

David and Johnathan each weigh 90 lbs
3 0
3 years ago
2. Use the distributive property to rewrite the following expression.<br> 3(x+5)
baherus [9]

The answer is 3x+15

You multiply the x and 5 by 3 to get 3x and 15

6 0
3 years ago
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