Ask question

Ask question

All categories

sergeinik [125]

2 years ago

9

A bundle with one pack of pencils and one pack of pens. If a package of pens cost $2.50and I bought 3 bundles spending a total o

f $12.75 how much does each pack of pencils cost?

1 answer:

ollegr [7]2 years ago

4 0

2.50 read the question again and think

You might be interested in

The points A(-3,6), B(8,6), C(8,-4) and D(-3,-4)

murzikaleks [220]

Answer:

what about them

Step-by-step explanation:

4 0

2 years ago

at the Fall Fest Parade members of the cat lovers club and the dog lovers Club will March in equal rows. there will be six membe

Triss [41]

The fall is waiting on 67-66

7 0

2 years ago

How many elements are in the intersection of the set 1,4,7,10,...,61 and the set 1,6,11,16,...,61

LekaFEV [45]

Gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

5 0

2 years ago

Helppppppppp pLeAsEeEe?

ivanzaharov [21]

Answer:

The perimeter is 16 yards.

_

Step-by-step explanation:

♤You can solve using the <u>pythagorean theorem</u>.

♡We will be using the variable 'x' to represent the variable 'b' in the picture provided.

◇In the pythagorean theorem, a and b represents bases while the c represents the hypotenuse (diagonal).

${a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {12}^{2} = {20}^{2} \\ {x}^{2} + 144 = 400 \\ \frac{ \: \: \: \: \: - 144 = - 144}{ {x}^{2} = \sqrt{256} } \\ x = 16$

5 0

2 years ago

A)Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity

Colt1911 [192]

Answer:

a) The sequence converges to 0

b) The lenght of the curve is $\frac{1}{54}(217^{3/2}-37^{3/2})$

Step-by-step explanation:

Consider the sequence $a_n = \frac{-6n^6 + \sin^2(7n)}{n^7+11}$

a) We will prove it using the sandwich lemma. Note that for all n $-1\leq \sin^2(7n)\leq 1$ , then

$\frac{-6n^6 -1}{n^7+11}\leq\frac{-6n^6 + \sin^2(7n)}{n^7+11}\leq \frac{-6n^6 + 1}{n^7+11}$

Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that

$0 \leq\frac{-6n^6 + \sin^2(7n)}{n^7+11} \leq 0$

So, the sequence converges to 0.

b) The function $f(x) = 4x^{3/2}+7$ the formula of curve lenght is given by

$s = \int_a^b \sqrt[]{1+(f'(x))^2}dx$

in this case, a=1, b=6

Note that $f'(x) =6x^{{1/2}$ . Then

$s=\int_1^6 \sqrt[]{1+36x}dx$ . Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,

$s=\frac{1}{36}\int_{37}^{217}\sqrt[]{u} du = \frac{2}{36\cdot 3} \left.u^{3/2}\right|_{37}^{217}=\frac{1}{54}(217^{3/2}-37^{3/2})$

8 0

2 years ago