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2 years ago

Charlotte biked 4.8 × 104 meters. Mary biked 1.2 × 103 meters. How many times farther did Charlotte bike than Mary?

Mathematics

2 answers:

o-na [289]2 years ago

5 0

I believe that Charlotte bikes 499.2 meters and Mary biked 123.6 meters, so Charlotte would’ve biked 375.6 more meters.

den301095 [7]2 years ago

3 0

Charlotte:

4.8 * 104 = 499.2

Mary:

1.2 * 103 = 123.6

Divide 499.2 by 123.6

This will be 4.03883495.... round to your teacher’s specifics.

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Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel i

Vedmedyk [2.9K]

Answer:

$Area = 287\ in^2$

Step-by-step explanation:

Given

$Length = 20.5$

$Space = 4.25$

$Panels = 3$

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

$Total\ Width = 50.5$

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

$Reduced\ Width = 50.5 - 2 * 4.25$

$Reduced\ Width = 42$

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

$Width = \frac{42}{3}$

$Width = 14$

The area of one is:

$Area = Length * Width$

$Area = 20.5 * 14$

$Area = 287\ in^2$

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3 years ago

The dog-sledding team can travel 6 miles in 20 minutes. How far will they travel in 135 minutes?

Cloud [144]

Answer:

40.5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Use logarithmic differentiation to find the derivative of the function. y = x2cos x Part 1 of 4 Using properties of logarithms,

Arisa [49]

ANSWER

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

EXPLANATION

The given function is

$y = {x}^{2} \cos(x)$

We take natural log of both sides;

$ln(y) = ln({x}^{2} \cos(x) )$

Recall and use the product rule of logarithms.

$ln(AB) = ln(A ) + ln(B)$

This implies that:

$ln(y) = ln({x}^{2} ) + ln( \cos(x) )$

$ln(y) = 2 ln({x} ) + ln( \cos(x) )$

We now differentiate implicitly to obtain;

$\frac{ {y}^{'} }{y} = \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) }$

Multiply through by y,

${y}^{'} = y( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) })$

Substitute y=x²cosx to obtain;

${y}^{'} = {x}^{2} \cos(x) ( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) } )$

Expand:

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

7 0

3 years ago

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const2013 [10]

Answer:

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Step-by-step explanation:

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= 28/32 - 8 /32

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= 5/8 of a quart.

5 0

3 years ago

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Zepler [3.9K]

Answer:

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Step-by-step explanation:

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2 years ago