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2 years ago

6

Write the recursive formula for the sequence a^n =2-5(n-1)

1 answer:

Zolol [24]2 years ago

3 0

The formula is 2”6 hope I helped

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A gross is equal to 144 items. A baker's dozen is equal to

yawa3891 [41]

Answer:

Approximately 11 baker's dozens equal 1 gross.

Step-by-step explanation:

The number of items in a baker's dozen = 13

The gross = 144 items

So, the number of baker's dozen in a gross

= $\frac{\textrm{Total number of items in a gross}}{\textrm{Total number of items on a baker's dozen}}$

= $\frac{144}{13} = 11.07$

Hence, approximately 11 baker's dozens equal 1 gross.

8 0

3 years ago

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions

Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector $\vec{v}$ in some vector space $\mathbb R^n$ we have

$\vec{v} = \langle a,b\rangle$

This is the component form. I don't like that way. It is probably used in high school, but

$\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}$

is preferable because the inner product on $\mathbb R^n$ is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as $\vec{v} = 2i+2j$

4.

For this question, I think you meant

vectors

$\vec{u_1} = (-8, 12)$

$\vec{u_2} = (13, 15)$

Once

$\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}$

Considering that the dot product is

$\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76$

and the norm of $\vec{u_1}$ is $||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}$

and the norm of $\vec{u_2}$ is $||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}$

Thus,

$\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}$

$\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)$

3 0

2 years ago

monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star

GaryK [48]

Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

$\text{One gallon is equivalent to 3785 } cm^3$

Therefore: $\text{10 gallon= 3785X 10 =37850 } cm^3$

Therefore, Volume of the lemonade Monica Started with is $\text{37850 } cm^3$

The diameter of the cup =8cm

Therefore, Radius =8/2 =4cm

Height of the Cup =11cm

Volume of a Cone= $\frac{1}{3}\pi r^2 h$

$\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3$

The number of cups needed to empty the 10 gallon cooler =37850÷184.31

=205.36

$\approx 205$ Cups

(b)If the Cups are sold in packages of 50

Number of Package to be bought =205 ÷ 50 =4.1

She would need to buy 5 packages.

5 0

3 years ago

Why is circle 1 similar to circle 2?

Artemon [7]

Circle 2 is a dial at ion of circle 1

3 0

2 years ago

Use a transformation to solve the equation. w/4 = 8 can you also leave a detailed explanation on how this equation = 32

OverLord2011 [107]

Answer:

w=32

Step-by-step explanation:

w/4 = 8

4/1 * w/4 = 8*4

w=32

5 0

3 years ago