3 years ago

If an hour is 45 years how long is a minute

1 answer:

8 0

Since one hour = 45 years, one minute should be 1/60th of 45 years because 60 minutes = an hour.

45/60 = 3/4

So one minute would be 3/4 of an hour, or 45 minutes.

Hope this helps!

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Find the x-intercepts of the parabola with vertex (7,-12) and y-intercept (0,135).

Ira Lisetskai [31]

Answer:

x=9 and x=5

(9,0) and (5,0)

Step-by-step explanation:

Use vertex form to solve for the unknown variable

$y=a(x-h)^2+k\\\\135=a(0-7)^2-12\\\\147=a(-7)^2\\\\147=49a\\\\3=a$

Use the new equation to find the x-intercepts

$y=3(x-7)^2-12\\\\0=3(x-7)^2-12\\\\12=3(x-7)^2\\\\4=(x-7)^2$

$2=x-7\\9=x$

$-2=x-7\\5=x$

Therefore, the x-intercepts of the parabola are (9,0) and (5,0). Feel free to review the attached graph for more information.

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2 years ago

How does a combination of transformations differ from a single transformation? How are they the same?

Ulleksa [173]

A combination of transformations can create a wider array of figures as compared to a single transformation. However, both rely on the same general transformations such as reflection and scaling.

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3 years ago

A study of 138 penalty shots in World Cup Finals games between 1982 and 1994 found that the goalkeeper correctly guessed the dir

vladimir2022 [97]

Answer:

z=-2.09

Step-by-step explanation:

Given that a study of 138 penalty shots in World Cup Finals games between 1982 and 1994 found that the goalkeeper correctly guessed the direction of the kick only 41% of the time.

Set up hypotheses as:

$H_0: p=0.50\\H_a: p$