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Daniel [21]
3 years ago
11

The difference between a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

-4

Step-by-step explanation:

x-6=5(x+2)

x-6=5x+10

-6=4x+10

-16=4x

-4=x

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A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s
Phantasy [73]
Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
S_n= \frac{a_1(1-r^n)}{1-r}
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}
1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}
1.99= 2(1- (\frac{1}{2})^n)
divide both sides by 2
\frac{1.99}{2} = 1- (\frac{1}{2})^n
times -1
\frac{-1.99}{2} = (\frac{1}{2})^n-1
add 1 or 2/2 to both sides
\frac{0.01}{2} = (\frac{1}{2})^n
take the ln of both sides
ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)
ln(\frac{0.01}{2}) = n ln(\frac{1}{2})
divide both sides by ln(1/2)
\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump
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3 years ago
The table in the answer space shows some of the high-profile information, in cm, for 50 participants who have attended the schoo
harina [27]

mode is 8.Hope it helps

6 0
3 years ago
What is the answer 27x^3-1=0
chubhunter [2.5K]
X=cubic root 2/27
Glad to help
6 0
3 years ago
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Find the difference between the result of one sixth of product of 10 and 3 multiplied by 4 and 30
kherson [118]

Answer:

10 or -10,

Read the explanation

Step-by-step explanation:

Rewrite this problem as a numerical expression. As per the wording of this problem, there can be two expressions derived.

1.     ((\frac{1}{6}(10*3)*4)-30

2.     30-((\frac{1}{6}(10*3)*4)

Simplify, remember the order of operations. The order of operations is the sequence by which one is supposed to perform operations in a numerical expression. This order is the following:

1. Parenthesis

2. Exponents

3. Multiplication or division

4. Addition or Subtraction

Use this sequence when simplifying and solving the expression:

Expression 1

((\frac{1}{6}(10*3)*4)-30\\\\=((\frac{1}{6}(30)*4)-30\\\\=(5*4)-30\\\\=20 - 30\\\\= -10

Expression 2

30-((\frac{1}{6}(10*3)*4)\\\\=30-((\frac{1}{6}(30)*4)\\\\=30-(5*4)\\\\= 30-20\\\\= 10

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3 years ago
WHat is 9 times 8 times 7 times 6 times 4 times 3 times 2 times 1 divided by 8. First person to answer get a free like and brain
AnnyKZ [126]
9072 is the correct answer.
4 0
2 years ago
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