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olga nikolaevna [1]
3 years ago
11

After simplification, how many terms will be there in 4x3 + 9y2 - 3x + 2 - 1?

Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:

3

Step-by-step explanation:

Valculate it..... Calculate the liked terms

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Suppose that y varies inversely with x.Write an equation for the inverse variation Y=4 when x=7
myrzilka [38]

Answer:

If y varies inversely as x, then we write it as:

y = k/x


where k is some constant.


If we multiply both sides of this equation by x we get an equation for k:

k = x*y


We are given that y=4 when x=7, therefore:

k = 7*4 = 28


Put this back into our original equation to get:

y = 28/x



4 0
3 years ago
(Very urgent i could die help) Simone ran on a tredmail for a 6 mile per hour pace if she ran 8 miles at the same rate how long
vodka [1.7K]

Answer:

1 hour and 20 minutes

Step-by-step explanation:

6mph= 6 miles every hour

1 mile = 10 minutes

2 miles = 20 minutes

8 miles = 1 hour and 20 minutes

7 0
3 years ago
C(1)=−20<br> c(n)=c(n−1)+10<br><br> Find the second term in the sequence. <br> ​
svet-max [94.6K]

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

5 0
3 years ago
George and Paula are running around a circular track. George starts at the westernmost point of the track, and Paula starts at t
arsen [322]

Answer:

George is 43.20 ft East of his starting point.

Step-by-step explanation:

Let Paula's speed be x ft/s

George's speed = 9 ft/s

Note that speed = (distance)/(time)

Distance = (speed) × (time)

George takes 50 s to run a lap of the track at a speed of y ft/s

Meaning that the length of the circular track = y × 50 = 50y ft

George and Paula meet 14 seconds after the start of the run.

Distance covered by George in 14 seconds = 9 × 14 = 126 ft

Distance covered by Paula in 14 seconds = y × 14 = 14y ft

But the sum of the distance covered by both runners in the 14 s before they first meet each other is equal to the length of the circular track

That is,

126 + 14y = 50y

50y - 14y = 126

36y = 126

y = (126/36) = 3.5 ft/s.

Hence, Paula's speed = 3.5 ft/s

Length of the circular track = 50y = 50 × 3.5 = 175 ft

So, in 4 minutes (240 s), with George running at 9 ft/s, he would have ran a total distance of

9 × 240 = 2160 ft.

2160 ft around a circular track of length 175 ft, means that George would have ran a total number of laps (2160/175) = 12.343 laps.

Breaking this into 12 laps and 0.343 of a lap from the starting point. 0.343 of a lap = 0.343 × 175 = 60 ft

So, 60 ft along a circular track subtends an angle θ at the centre of the circle.

Length of an arc = (θ/360°) × 2πr

2πr = total length of the circular track = 175

r = (175/2π) = 27.85 ft

Length of an arc = (θ/360) × 2πr

60 = (θ/360°) × 175

(θ/360°) = (60/175) = 0.343

θ = 0.343 × 360° = 123.45°

The image of this incomplete lap is shown in the attached image,

The distance of George from his starting point along the centre of the circular track = (r + a)

But, a can be obtained using trigonometric relations.

Cos 56.55° = (a/r) = (a/27.85)

a = 27.85 cos 56.55° = 15.35 ft

r + a = 27.85 + 15.35 = 43.20 ft.

Hence, George is 43.20 ft East of his starting point.

Hope this Helps!!!

6 0
3 years ago
Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar in a jar. She then pours
-Dominant- [34]
6 1/3 +2 3/8 = 17/24 so you have to subtract it from the 2 1/4 fluid to know the amount of dressing remaining and your answer should be negative which is -37/24.
6 0
3 years ago
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