A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measu

Step-by-step explanation:

The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).

m = (2.001 − 1.999) / (0.001 − (-0.001))

m = 1

Part a) When a page is scaled down to 80%, how much enlargement is necessary to bring it back to its original size?

Let

x---------> the percent enlargement

Given the original size is 100%

This means:

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

Thus,

The answer to Part a) is

The percent enlargement required is 125%

Part b) Estimate how many successive copies of a page are needed to make the final copy less than 15% of its original size.

Since the photocopy machine reduces sizes to 80% of the original

Therefore:

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

Therefore,

The answer to Part b) is

The necessary number of copies to achieve this is 9

Respuesta:

Leslie determinó que el siguiente sistema de ecuaciones tiene infinitas soluciones. ¿Está en lo correcto?

x=4y-4

2x-8y=-24

A. Sí, Leslie está en lo correcto.

B. No, la solución es (-8,-24)

C. No, la solución es (0,-16)

D. No, el sistema de ecuaciones no tiene solución.

Explicación paso a paso:

debes resolverlo como un par de ecuaciones simultáneas y no hay soluciones

si necesitas una explicación más detallada, vuelve a publicar la pregunta y lo haré con gusto

por favor márcalo como el más útil

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)

The Geometric growth formula is

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = time = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Thus, the geometric growth rate is 3.5486725664.

The area they will occupy in hectares after one more year = Current area × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

Approximately equal to 14.2

Let’s tackle the problem. We know the formula for <span>the height of the ball is as follows:

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Here, x represents </span><span>the horizontal distance in yards that the ball has traveled in the air. Given that distance is always a positive value, we conclude that x must be greater than or equal to 0. Thus:

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The horizontal plane indicates the function's zero point, and since the ball cannot have negative height values, must also remain positive. Ultimately, the graph reveals that the suitable domain is:

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</span><span>
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