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IrinaVladis [17]
3 years ago
5

Use the geometric series 5^Ž (8)*-* to answer each question.

Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

First one is:

1 + 8 + 64 + 512 + 4096

Second one is:

73

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Create and evaluate an expression that shows "the quotient of eight raised to the power of two and four, decreased by six."
AnnyKZ [126]

((8^2)/4)-6 = (64/4)-6 = 16-6 = 10
5 0
3 years ago
WRITE AN ALGEBRAIC EXPRESSION TO MODEL THE GIVEN CONTEXT. GIVE YOUR ANSWER IN SIMPLEST FORM. The original price  of an item le
quester [9]

Answer:

The original price of an item less a discount of 20% is 0.8p where p is the original price

Step-by-step explanation:

Here, we want to write an algebraic expression that represents the original price of an item less a discount of 20%

Let the original price of the item be p

The meaning of the ‘less’ is that we are subtracting 20% of the price from the original price ;

So 20% of the price will be 20/100 * p = 20p/100 = p/5 = 0.2p

So let’s take this away from the original price p

That will be;

p - 0.2p = p(1-0.2) = 0.8p

6 0
3 years ago
One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n
maxonik [38]

Answer:

B.\ \frac{3m}{2n}

Step-by-step explanation:

Given

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq  0)

Required

Calculate one of the root of the equation

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0

Factorize

2mx(2nx - 3m) -3n(2nx - 3m) = 0

(2mx - 3n)(2nx - 3m) = 0

Split equation

2mx - 3n = 0\ or\ 2nx - 3m = 0

Make x the subject of formula in both expressions

2mx = 3n\ or\ 2nx = 3m

x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}

<em>From the list of given options, one of the roots of the equation is</em> \frac{3m}{2n}

4 0
4 years ago
What is the opposite of |-74|?
Svetlanka [38]

Answer:

It's 74

Step-by-step explanation:

It will be positive 74 i.e, +74

3 0
3 years ago
Read 2 more answers
You have $400 saved in your banking account. You save $50 a week. Mr Brierley has $2000 in his bank account but only saves $25 a
lakkis [162]

Answer:

64 weeks

Step-by-step explanation:

Given that you already have $400 saved and you save $50 per week, in x weeks, you would have saved:

400 + (50 * x)

Also, given that Mr Brierley has $2000 in his bank account and he saves $25 per week, in x weeks, he would have:

2000 + (25 * x)

You and Mr Brierley would have the same amount of money when:

400 + (50 * x) = 2000 + (25 * x)

Solving for number of weeks, x, we have:

400 + 50x = 2000 + 25x

Collecting like terms:

50x - 25x = 2000 - 400

25x = 1600

x = 1600 / 25

x = 64

Hence, it will take 64 weeks for you and Mr Brierley to have the same amount of money.

4 0
3 years ago
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