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atroni [7]
3 years ago
6

The ratio of minutes to gallons of water flowing through a garden hose is 2 to 12 carlota says that an equivalent ratio of minut

es to gallons is 6 to 1 is Carlota correct
Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

Carlota is not correct

Step-by-step explanation:

A ratio represents relationship between of two or more things.

Ratio of minutes to gallons of water flowing through a garden hose =2:12

Here,

2:12=1:6

Also,

It's given that an equivalent ratio of minutes to gallons is 6:1

Now,

1:6\neq 6:1

Therefore,

Carlota is not correct

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Need help on this math problem!!!
Colt1911 [192]

Answer:

(fof^{-1})(x)=x

Step-by-step explanation:

Composition of two functions f(x) and g(x) is represented by,

(fog)(x) = f[g(x)]

If a function is,

f(x) = (-6x - 8)² [where x ≤ -\frac{8}{6}]

Another function is the inverse of f(x),

f^{-1}(x)=-\frac{\sqrt{x}+8}{6}

Now composite function of these functions will be,

(fof^{-1})(x)=f[f^{-1}(x)]

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                  = (-\sqrt{x})^2

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Therefore, (fof^{-1})(x)=x

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3 years ago
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Read 2 more answers
Which value of x solves the equation cos x° = sin (20° + x°), where 0 < x < 90? A. 30° B. 35° C. 40° D. 45° E. 55°
daser333 [38]

Answer:

Option B (35°).

Step-by-step explanation:

To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!

4 0
3 years ago
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