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3 years ago

If y varies directly as x, and x = 48 when y = 6, find y when x = 12.

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

7 0

x = 48, y = 6 (y * 8 = x)

x = 12, y = 1.5 (1.5 * 8 = 12)

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pentagon [3]3 years ago

6 0

Answer: Each time the pentagon is rotated , it maps back onto itself. There are five values of for which the pentagon maps back onto itself. This is the same as the number of sides of the pentagon.

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Using an infinite geometric series for the repeating decimal 0.551¯¯¯¯¯¯¯¯, with ratio 11000, find integers a and b so that 0.55

irga5000 [103]

Answer:

Sum = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

Step-by-step explanation:

Given

Decimal = 0.551

Ratio = 1/1000

By repeating the decimal, we can write;

0.551 -bar = 0.551551551.....

0.551551551..... = 0.551 + 0.000551 + 0.000000551 + ....

= 551/1000 + 551/1000000 + 551/1000000000 + ......

= 551/10³ + 551/10^6 + 551/10^9 + .....

= n=0 Σ∝(551/10³)(1/10³)^n

Hence, the infinite geometrc series is Σ(551/10³)(1/10³)^n for n = 0 to

∝

Given the ratio of 1/1000

Let r = 1/1000

r = 1/10³

a = 551/10³

The sum is defined as follows;

a/(1-r)

Sum = 551/10³ / (1 - 1/10³)

Sum = 551/1000 ÷ 999/1000

Sum = 551/999

So, a/b = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

5 0

3 years ago

A comic-strip writer churns out a different number of comic strips each day. For 16 days, the writer logged the number of comic

Nimfa-mama [501]

First we need to graph the given values.

there are total 16 data so x-value can be taken as 1,2,3,...,16

given values will be assigned as y-values as shown in attached table.

Now we just graph those points to see the type of skew.

From graph we see that points are very close and almost in the shape of a line. Lines seems to be moving upward when going to the right side.

Hence correct answer will be "positive skew".

4 0

3 years ago

Nonamiya [84]

Answer:

1. 2/3

2. (y-3)/x

3. y=(2/3)x+3

Step-by-step explanation:

I just did this assignment, and these are the correct answers!

5 0

4 years ago

Read 2 more answers

Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used.

MArishka [77]

Answer:

-303.11 -175

Step-by-step explanation:

The jet has a speed of magnitude 350 miles/hour and travelling in a direction of 210°. Hence the jet can be represented with |r| = 350, θ = 210°.

The component form of the vector has both the x component (horizontal component) and the y component (vertical component) Therefore:

The horizontal component = $r_x=|r|cos\theta=350*cos(210^o)= -303.11$

The vertical component = $r_y=|r|sin\theta=350*sin(210^o)= -175$

5 0

3 years ago

Two whole numbers have a least common multiple of 24.

Rainbow [258]

Answer:

Step-by-step explanation:

A. Greatest common factor is 6, so wrong.

B. Correct.

C. Wrong, least common multiple is 8.

D. Wrong, least common multiple is 12.

3 0

3 years ago