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Sphinxa [80]
3 years ago
8

Find all ratios that are equivalent to 4 : 6 and have a first term that is less than 40.

Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

2: 3, 4: 6, 6: 9, 8: 12 , 10: 15, 12: 18, 14: 21, 16: 24, 18: 27, 20: 30, 22: 33, 24:36, 26: 39, 28: 42, 30: 45, 32: 48, 34: 51, 36: 54, 38: 57

Step-by-step explanation:

The ratio 4: 6 can be simplified to 2:3 by dividing by 2 to each side of the ratio. After simplified to 2:3, you add the ration to itself to get the rest of the terms.

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MODELING A WATER WHEEL
kvasek [131]

Answer:

The true statements include

- This is the pattern for a sine function.

- The amplitude is 1

- The vertical shift is 0

- An equation for this graph is y = sin(x)

The only untrue statement is

- The graph follows the zero-max-zero-min-zero pattern.

Step-by-step explanation:

Observing the graph of the function presented, one can examine the options and pick the true options from them all.

Statement 1

The graph follows the zero-max-zero-min-zero pattern.

From the graph, it is obvious that this is a false claim as the graph doesn't follow a zero-max-zero-min-zero pattern, rather, its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.

Statement 2

This is the pattern for a sine function.

This is true. A sine wave follows the exact pattern that this plot follows; its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.

Statement 3

The amplitude is 1

This is true. The amplitude of a motion of a body refers to the maximum displacement of that body from the equilibrium position. From this plot, it is evident that that amplitude is 1 for the vertical motion of this barnacle.

Statement 4

The vertical shift is 0

The vertical shift of the plot refers to how far the equilibrium position of the motion is from the origin line (x-axis line). And for this motion and plot, the equilibrium position for the vertical motion, is placed on the x-axis, indicating a vertical shift of 0.

Statement 5

An equation for this graph is y = sin(x)

This is true. As described under statement 2 and as evident from the corresponding values of x and y from the plot; with x in radians, the values of y can be obtained by taking the sin of the value of x, indicating that this plot is a plot of y = sin x

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
jeka94

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

5 0
3 years ago
durante cuantos dias se presto un capital de 56000 al 15% trimestral para que produzca un monto de 57680
emmainna [20.7K]

Step-by-step explanation:

you need to learn English cuz like who even cares anymore

7 0
3 years ago
Please someone help me, and explain. :)
enot [183]
(7^{13})^3*7^0=7^{13*3}*1=7^{39}
3 0
3 years ago
Read 2 more answers
Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption
nataly862011 [7]


the 5th hour there would be 4 puppies available for adoption

The 6th hour would have 2 puppies available for adoption

these answers are only correct if the ratio stays the same


7 0
3 years ago
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