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2 years ago

-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )

Mathematics

1 answer:

patriot [66]2 years ago

3 0

The next term would be -96 ! your just adding the term twice and alternating it by making it a negative and a positive

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A 1400 kg car moving +13.7 m/s makes an elastic collision with a 3200 kg truck, initially at rest. What is the velocity of the c

Kamila [148]

Answer:

The velocity of the car after the collision is -5.36 m/s

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

let the following:

m₁ = mass of the car = 1400 kg

m₂ = mass of the truck = 3200 kg

u₁ = velocity of the car before collision = 13.7 m/s

u₂ = velocity of the truck before collision = 0 m/s

v₁ = velocity of the car after collision

v₂ = velocity of the truck after collision

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

= [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ]/ (1400 + 3200)

= - 5.36 m/s

So, the velocity of the car after the collision is -5.36 m/s

7 0

2 years ago

6x=12 with explanation plz

lord [1]

Answer:

X = 2

Step-by-step explanation:

6(2) = 12

6 X 2 = 12

4 0

2 years ago

Please help thanks! Brainliest Sorry for spamming.

Bad White [126]

Answer: −10

Step-by-step explanation: 9^2−21/−6

81−21/−6

60/−6

−10

6 0

2 years ago

4 coffees and 12 lattes. Costs $61

Gala2k [10]

Answer:

Cost of a coffee is $2.5 and cost of a latte is $4.25.

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = $c$

∴ 4 coffees cost = $4c$ and 12 coffee cost = $12c$

∵ 1 latte cost = $l$

∴ 12 lattes cost = $12l$ and 7 lattes cost = $7l$

Now, as per question:

$4c+12l=61-----1\\12c+7l=59.75----2$

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

$-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25$

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

$4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5$

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0

2 years ago

The complement of an angle is 25°. What is the measure of the angle?

Varvara68 [4.7K]

65 degrees.

90 - 25 = 65

3 0

2 years ago