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jarptica [38.1K]
3 years ago
14

A scientist measured the amount of rainfall during the afternoon.it rained 0.43 inch each hour.what was the total amount of rain

fall in 3 hours
Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

It rained 1.29 inches in 3 hours

Step-by-step explanation:

<u>Step 1:  Make an equation for the word problem</u>

It rained 0.43 inch each hour.  What was the total amount of rainfall in 3 hours

0.43n

<u>Step 2:  Plug in 3 for n</u>

0.43n

0.43(3)

1.29

Answer:  It rained 1.29 inches in 3 hours

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Answer:

12.5%

Step-by-step explanation:

2.56-2.24 =0.32

By using the rule of three we can find the answer.

we have that 2.56 = 100% so we have to find what percentage 0.32 represents

(0.32*100)/2.56 = 12.5

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2 years ago
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Answer:

  the one real zero is in the interval (-1, 0)

Step-by-step explanation:

Descartes' rule of signs tells you there are 0 or 2 positive real zeros. Changing the signs of the odd-degree terms and applying that rule again tells you there is one negative real zero. At the same time, those coefficients (-3, -5, -5, +7) have a negative sum, so you know ...

  f(-1) = -6

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so there is a zero in the interval (-1, 0).

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You can try a few values between x=0 and x=10 to see what the function does in that part of the graph. You find ...

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The only real zero of f(x) is in the interval (-1, 0).

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I like to use a graphing calculator for problems like this.

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2 years ago
Which expression represents a number that is 4 times as great as the quotient of 25 and 5? A. ( 25 × 5 ) × 4 B. 4 ÷ ( 25 × 5 ) C
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Answer:

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3 years ago
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which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1​
lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. y=\sec x

B. y= \tan x

C. y= \cot x

D. y= \csc x

Answer:

A. y=\sec x

D. y=\csc x

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: y=\sec x

We know that, the \sec x=\frac{1}{\cos x}

The range of \cos x is from -1 to 1 given as [-1, 1]. So,

|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1

Therefore, on removing the absolute sign, we rewrite the secant function as:

\sec x\leq -1\ or\ \sec x\geq 1\\

Therefore, the range of y=\sec x is all real numbers greater than or equal to 1 or less than or equal to-1​.

Choice B: y= \tan x

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: y= \cot x

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: y=\csc x

We know that, the \csc x=\frac{1}{\sin x}

The range of \sin x is from -1 to 1 given as [-1, 1]. So,

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Therefore, on removing the absolute sign, we rewrite the cosecant function as:

\csc x\leq -1\ or\ \csc x\geq 1\\

Therefore, the range of y=\csc x is all real numbers greater than or equal to 1 or less than or equal to-1​.

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