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4 years ago

Adam has 1 2/5 meters of rope that he wants to cut into pieces that are each 1/5 meters long. How many pieces can he cut?

Mathematics

2 answers:

s344n2d4d5 [400]4 years ago

6 0

1. 1 2/5 is 7/5 so he can cut 7
2. Is 8 times three that equals 24 and 24 plus 3 is 27 so 27/8

natita [175]4 years ago

5 0

First one is 7 second one is 8/29 beacause of the eqution

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The population of a local species of bees can be found using an infinite geometric series where a1=860 and the common ratio is 1

erma4kov [3.2K]

$a_1=860$
$a_2=\dfrac{a_1}5$
$a_3=\dfrac{a_2}5=\dfrac{a_1}{5^2}$
$\vdots$
$a_n=\dfrac{a_{n-1}}5=\dfrac{a_{n-2}}{5^2}=\cdots=\dfrac{a_1}{5^{n-1}}$

The $k$ th partial sum is

$\displaystyle S_k=\sum_{n=1}^ka_n=\sum_{n=1}^k\frac{a_1}{5^{n-1}}$
$S_k=a_1\left(1+\dfrac15+\dfrac1{5^2}+\cdots+\dfrac1{5^{k-2}}+\dfrac1{5^{k-1}}$
$\dfrac15S_k=a_1\left(\dfrac15+\dfrac1{5^2}+\dfrac1{5^3}+\cdots+\dfrac1{5^{k-1}}+\dfrac1{5^k}\right)$

$\implies S_k-\dfrac15S_k=a_1\left(1-\dfrac1{5^k}\right)$
$\dfrac45 S_k=860\left(1-\dfrac1{5^k}\right)$
$S_k=1075-\dfrac{1075}{5^k}$

As $k\to\infty$ , we're left with

$\displaystyle\sum_{n=1}^\infty a_n=\lim_{k\to\infty}\left(1075-\frac{1075}{5^k}\right)=1075$

which is the upper limit to the population of the bees.

4 0

3 years ago

Choose the correct graph of the following condition. {(x, y) : x - y6}

Romashka [77]

The correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

<h3>What is a graph?</h3>

A graph is a diagram showing the relation between variable quantities each measured along one of a pair of axes at right angles.

In this case, the correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

6 0

2 years ago

A local hockey rink is covered by a dome in the shape of a hemi-sphere (half sphere). if the floor of the arena has a diameter o

8_murik_8 [283]

The surface area of hemisphere is given by:

$Surface Area = 2 \pi r^{2}$

Where r is radius of hemisphere.

We are given diameter = 250 ft.

We know that radius = half of diameter.

Radius of dome = 1/2 (250) = 125 ft.

Now let us plug the value of radius in the formula,

$Surface Area = 2 (3.14) (125)^{2}$

Surface Area of dome = 98125 square foot.

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3 years ago

AYUDENME¡ RESUELVE LA SIGUIENTE ECUACIÓN CON RADICALES<br> √2+x -4 = -√10-3x

stepladder [879]

Okay, cero que es

$\frac{4- \sqrt{2} - \sqrt{10} }{4}$

x≈-0.14412280

7 0

4 years ago

One side of a square is 11 ft. Tom found that the area of his square is 22. Is Tom correct? Explain why he is correct or incorre

guapka [62]

Answer:

Tom is incorrect.

Step-by-step explanation:

A square by definition implies that all sides of the square are the same measurements. In the case of finding the area, A = s². Tom, however, solved it as A = 2s.

In this case:

Area of square = s² = 11² = 121 ft²

121 ft² is the correct measurement.

3 0

3 years ago

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