3 years ago

Cookies are sold singly or in packages of 12 or 36.With this packaging how many ways can you buy 73 cookies

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

What thedhhddhhdhd dndhhdhd dn

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Simplify the expression

lapo4ka [179]

What expression? I don't see any

3 0

3 years ago

Factor to solve <br> X^2-2x-15=0

zzz [600]

Answer:

(x+3)(x-5)

Step-by-step explanation:

find two multiples of -15 that when added together create -2

those two numbers would be -5 and +3

-5x3=-15

-5+3=-2

4 0

3 years ago

what is the sum of a 7-term geometric series if the first term is negative 11 the last turn is -45056 and the common ratio is -4

patriot [66]

For a geometric sequence with common ratio $r$ , we have

$a_n=a_{n-1}r$

that is, the $n$ -th term in the sequence is the product of the previous term and the common ratio $r$ . So

$a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}$

Then the sum of the first 7 terms is

$S_7=\displaystyle\sum_{n=1}^7a_n=a_1+a_2+\cdots+a_7$
$\implies S_7=a_1+a_1r+\cdots+a_1r^6$

Notice that

$S_7r=a_1r+a_1r^2+\cdots+a_1r^7$

so we can subtract this modified sum from $S_7$ to get

$S_7-S_7r=S_7(1-r)=a_1-a_1r^7\implies S_7=a_1\dfrac{1-r^7}{1-r}$

We're told that $a_1=-11$ and $r=-4$ , so the sum of the first 7 terms is

$S_7=(-11)\dfrac{1-(-4)^7}{1-(-4)}=144,188$

3 0

3 years ago

Find the volume of the prism 8 units 2 units 5 units

lesantik [10]

Answer:

80 units cubed

Step-by-step explanation:

Volume=Base area x Height=16x5=80

Base area=8x2=16

Height=5

5 0

2 years ago

Use Pascal’s Triangle to determine the second term of the expansion of (x + 2)^4.

denis23 [38]

Answer: 10x³

<u>Step-by-step explanation:</u>

n=0 1

n=1 1 2 1

n=2 1 3 3 1

n=3 1 4 6 4 1

n=4 1 5 10 10 5 1

The second term of the expansion is: 5(a)³(b)

= 5(x)³(2)

= 10x³

5 0

3 years ago