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Misha Larkins [42]
3 years ago
14

How the transformations of the functions f(x)=15tanx and g(x)=tanx+15 differ?

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0
G(x)=tanx+15 effects the y so y intersept is + 15 not 0
  f(x)==(15 sin(x))/cos(x)
Irina-Kira [14]3 years ago
3 0
The transformation of <span>f(x)=15tanx would be achieved by dilating y</span>=tanx graph 15 times. This transformation will cause y'=15 y. This will increase the value of dilation become 15 times of the original

The transformation of g(x)=15tanx would be achieved by shifting y=tanx graph 15 right. This transformation will cause x'=x+15. This will change the value from tan x into tan(x+15)
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the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 19
Mandarinka [93]

Answer:

  Box 1 has the greater volume, by 200 in³

Step-by-step explanation:

The largest of two volumes can be found by computing each volume and comparing the results.

<h3>Box 1</h3>

The volume is computed from dimensions by ...

  V = LWH

  V = (18 in)(8 in)(15 in) = 2160 in³

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<h3>Box 2</h3>

The volume is computed from area and height by ...

  V = Bh . . . . . where B is the base area, and h is the height

  V = (196 in²)(10 in) = 1960 in³

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<h3>Comparison</h3>

The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.

  Box 1 has a greater volume

The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:

  2160 in³ -1960 in³ = 200 in³

  Box 1 is larger by 200 in³

_____

<em>Additional comment</em>

The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:

  200/1960 × 100% ≈ 10.2%

Box 1 is about 10% larger than Box 2.

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2 years ago
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Answer : y = 11x + 24

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3 years ago
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How much simple interest would 1000 earn in 275 days at an interest rate of 4.21%
nikitadnepr [17]
Now, there are 365 (excluding leap years) in a year, so, 275 days is not even a year, but is  275/365 of a year, or 55/73 of a year.

\bf \qquad \textit{Simple Interest Earned}\\\\&#10;I = Prt\qquad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\to& \$1000\\&#10;r=rate\to 4.21\%\to \frac{4.21}{100}\to &0.0421\\&#10;t=years\to \frac{275}{365}\to &\frac{55}{73}&#10;\end{cases}&#10;\\\\\\&#10;I=1000\cdot 0.0421\cdot \cfrac{55}{73}
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3 years ago
kevin is trying to find the height of a tree. he stands 100ft away from the tree and records the angle of elevation to the top o
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Answer:

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2 years ago
Please help me answer this question!!!
-Dominant- [34]

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

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