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3 years ago

Apply root test to the series.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

$\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac{5n+15}{2n-1}\right)^n\right|}=\lim_{n\to\infty}\frac{5n+15}{2n-1}=\dfrac52$

Since this limit exceeds 1, the series diverges.

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Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea

amm1812

The number of cookies and trays are illustrations of greatest common factors.

The number of trays is 8
6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

<u>(a) The number of trays</u>

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

$\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}$

$\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}$

So, the GCF is:

$\mathbf{GCF= 2 \times 2 \times 2}$

$\mathbf{GCF= 8}$

Hence, the number of tray is 8

<u>(b) The number of each type of cookie</u>

We have

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

Divide each cookie by the number of trays

So, we have:

$\mathbf{Chocolate\ chip = \frac{48}{8} = 6}$

$\mathbf{Rainbow = \frac{64}{8} = 8}$

$\mathbf{Oatmeal = \frac{150}{8} = 15}$

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0

2 years ago

You can drive 450 on 18 gallons of gas how far can you travel on one gallon

valentina_108 [34]

Step-by-step explanation:

I am going to guest 25 mins

3 0

2 years ago

Read 2 more answers

Solve the equation: 5/6 = 1/3 + D

Sauron [17]

Answer: $\frac{1}{2}$

Explanation:
$\frac{5}{6} = \frac{1}{3} + D$
$\frac{5}{6} - \frac{1}{3} = \frac{1}{3} - \frac{1}{3} + D$
$\frac{5}{6} - \frac{1}{3} = D$
$\frac{5}{6} - 2(\frac{1}{3}) = D$
$\frac{5}{6} - \frac{2}{6} = D$
$\frac{3}{6} = D$ = $\frac{1}{2}$

8 0

3 years ago

Find the area and perimeter

pashok25 [27]

Answer:

Part 1) The perimeter is $P=172\pi\ ft$