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3 years ago

I need the answer. Please help me . It’s due today

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

9514 1404 393

Answer:

graph: lower right

π units to the right of the graph of f(x)

Step-by-step explanation:

The transformation of f(x) to f(x-h) is a translation to the right by h units.

Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.

The graph of the translated function is shown below.

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Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches longer than the ot

Yuliya22 [10]

Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26 (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26 Combine like terms

2x + 8 = 26 Start isolating "x"

2x + 8 - 8 = 26 - 8 Subtract 8 from both sides

2x = 18

2x/2 = 18/2 Divide both sides by 2

x = 9 shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26 Substitute the lengths

17 + 9 = 26 Add

26 = 26 same number

LS = RS left side equals right side

The answer is correct.

3 0

3 years ago

Which of the answer choices could be the one missing data item for the following set, if the mode is 12?

crimeas [40]

Answer:

Step-by-step explanation:

first of all, what is mode: it is the highest occuring number in a set of numbers.

now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.

therefore the answer is 12

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3 years ago

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Hcf of 14 154 and 28

anyanavicka [17]

Answer:

Step-by-step explanation:

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3 years ago

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One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

5 0

3 years ago

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the

Rom4ik [11]

M/s=30/9 =10/3

so, 3m=10s

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3 years ago

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