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gladu [14]
3 years ago
11

M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N​

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0

Answer:

6

Step-by-step explanation:

M=2*2*3*5*5=300

N=2*2*2*3*3*7=504

Common factors between the two numbers are 2 and 3

The GCF(greatest common factor):

2×3 = 6

To see if it is true:

300/6 = 50

504/6 = 84

6 is the answer to the question.

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Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
ale4655 [162]

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1+i)^n

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3 0
3 years ago
A number cube has faces numbered 1 through 6, and a coin has two sides, "heads" and "tails". The
Mama L [17]

Answer:

The <em>required probability</em> is \dfrac{1}{12}.

Step-by-step explanation:

Let <em>A </em>be the event of rolling the number cube.

Let <em>B</em> be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.

\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}

where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.

Formula for probability of an event <em>E</em> is:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.

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6 0
2 years ago
Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Then answer
Setler79 [48]

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B. Number of solutions for the quadratic equation = 2

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D. Type of solutions (circle one):irrational

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The given quadratic equation is

{x}^{2}  + 8x = 13

We rewrite in standard form to get;

{x}^{2}  + 8x   - 13 = 0

The discriminant is

D =  {b}^{2}  - 4ac

where a=1, b=8, c=-13

We substitute to get:

D =  {8}^{2}  - 4 \times 1 \times  - 13

D = 64  + 52

D = 116

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3 years ago
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Step-by-step explanation:

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