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Ymorist [56]
3 years ago
14

Write the product in its simplest form 3w^5×7w^5​

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

21w^{10}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)}

Given

3w^{5} × 7w^{5}

= 3 × 7 × w^{(5+5)}

= 21w^{10}

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Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he
Zinaida [17]

Answer:

The probability of of a randomly chosen student being exactly 21 years old.

= 1.293

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given Population  size n = 500</em>

<em>Mean of the Population = 20 years and 6 months</em>

<em>                                        = </em>20 + \frac{6}{12} = 20 +0.5 = 20.5 years<em></em>

<em>Standard deviation of the Population = 2 years</em>

Let 'X' be the range of ages of the students on campus follows a normal distribution

Let   x =21

            Z = \frac{x-mean}{S.D}

            Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2

<em>The probability of a randomly chosen student being exactly 21 years old.</em>

<em>P( Z≤21) =  0.5 + A( 0.2) </em>

            = 0.5 +0.793

           =  1.293

           

6 0
3 years ago
If the sum of three consecutive multiples of 7 is 945. Find the smallest among them​
Firlakuza [10]

consider first number is = x

formula,

(n / 2)(first number + last number) = sum,

7/2(x+x+6)= 945

2x+6= 945×2/7

2x+6 = 270

2x= 270-6

x=264/2= 132

Answer the smallest number is 132.

8 0
2 years ago
Can 5ft 9ft 14ft make a triangle?
ss7ja [257]

Answer:

Any dimensions can make a triangle, however

this does not make a right angled triangle.

Step-by-step explanation:

Determine the length of the hypotenuse of a right angle triangle with side lengths 5ft and 9ft by using the formula:

a^2+b^2=c^2\\

\sqrt{a^2+b^2} = c

c=10.29

This is not equal to 14ft.

6 0
3 years ago
Read 2 more answers
What happens to the function f(x)=(x−1)2+1 when it becomes f′(x)=2((x−1)2+1)?
Ymorist [56]

Answer: c

Step-by-step explanation: I took the test

7 0
2 years ago
Read 2 more answers
Find the centre and radius for this circle , x^2+y^2=25
aliya0001 [1]

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = \sqrt{25} = 5

3 0
2 years ago
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