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Semenov [28]
3 years ago
12

Your younger sister has a toy that swings back and forth when it is pushed. Your sister pushes the toy and lets it swing freely.

On the first swing, the toy travels 45 inches. On each successive swing, the toy travels 50% of the distance of the previous swing. What is the total distance the toy swings?

Mathematics
2 answers:
allochka39001 [22]3 years ago
3 0

Answer:

Approximately 89.82

Step-by-step explanation:

Detailed explanation and calculation is shown in the image below.

Otrada [13]3 years ago
3 0

Answer:

Approximately 89.82

Step-by-step explanation:

Detailed explanation and calculation is shown in the image below.

Step-by-step explanation:

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Answer:

  A: The transformations are a rotation and a translation.

Step-by-step explanation:

The function f(x) is shown in the attachment as a dashed red line. The function g(x) is shown as the blue line.

The two lines have different slopes. The change in slope can be accomplished by horizontal or vertical scaling, or by rotation. The offered answer choices only include <em>rotation</em> as an option for changing the slope.

The two lines have different intercepts. To move the line from one intercept to another, generally translation is involved.

The simplest transformation is rotation and translation.

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<em>Comment on the answer choices</em>

If the reflection is done across a line other than an axis, or if the rotation is done about a point other than the origin, then <em>any combination of rotation, reflection, and translation can be used to make the transformation seen</em>. (Translation alone is not sufficient.)

For example, reflecting the line across the bisector of the angle between the lines (a line with a slope of (√13 -2)/3 through (5, 5)) will give the desired transformation in one step.

Similarly, a rotation of about 33.69° about the point (5, 5) will give the transformation in on step. (That angle is 45°-arctan(1/5).)

7 0
3 years ago
The ratio of boys and girls in a 4:3.If there are 20 boys, find the number of girls.​
Elina [12.6K]

Answer:

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Step-by-step explanation:

The ratio is 4:3, meaning there are 7 parts.

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This means 1 part is 20 divided by 4.

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3 parts= Amount of girls.

3 x 5 = 15.

There are 15 girls.

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Step-by-step explanation:

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larisa [96]

Answer:

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Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

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y = - 3x^{7} + 2x³ + x , then

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