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pashok25 [27]
3 years ago
10

Find the product. -8x5y2 · 6x2y

Mathematics
1 answer:
katrin [286]3 years ago
3 0

Answer:

The product of the given expression -8x^5y^2\times 6x^ 2y= 72x^6y^3[/tex]

Step-by-step explanation:

Given expression is -8x^5y^2\times 6x^2y

To find the product of the given expression:

The product of the given expression can be written as

-8x^5 y^2\times 6x 2y=(-8x^5y^2)(6x^2y)

=(-8x^5y^2)(6x^2y)

=-48(x^5\times x^2)(y^2\times y^1)  [since a^m\times a^n=a^{m+n}]

=-48x^7y^3

Therefore the product of the given expression -8x^5y^2\times 6x^2y is -48x^7y^3

Therefore,  -8x^5y^2\times 6x^2y=-48x^7y^3[/tex]

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1. What is the formula for compound interest?
Rus_ich [418]

Answer:

  1.   CI = P (1 + \frac{r}{100} )^ n - P

        CI = A - P

      Where P is Principal

      R is interest rate

      n is number of years

   2. a. Semi annually - four times in a year

       b. Monthly           -  two times in a year

       c.  annually          -  once in a year

Step-by-step explanation:

1.  Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .

i.e CI = Final period - Initial period

or CI = A - P

or CI = P(1+ \frac{r}{100}) ^n - P

2. (a) Semi annually

        A = P (1 + \frac{r}{4 * 100} )^ n × 4

   (b)  Monthly

       A = P (1 + \frac{r}{2 * 100} ) ^ n × 2

   

   (c)  Annually

       A = P (1 + \frac{r}{100} ) ^ n

3 0
3 years ago
A water balloon slingshot launches its projectiles essentially from ground level at a speed of 25.5 m/s . (You can ignore air re
lozanna [386]
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.

B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.

Flight time = 2* ascendent time

ascendent time => final vertical velocity, Vy, = 0

sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s

Vy = Voy - gt = 0  => Voy = gt = t = Voy / g

Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)

t = 18.03 m/s / 10 m/s^2 = 1.83 s

This is the ascendant time going upward.

The flight time is 2*1.83 = 3.66 s

Horizontal motion

Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s

Vx = x / t => x = Vx*t

Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m

c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
5 0
3 years ago
If y = 2x2 – 4x, what is the value of y when x equals 5. <br> A.10 <br> B.30 <br> C.80 <br> D.480
Ainat [17]

Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x             x = 5

y = 2(5)² - 4(5)        Plug 5 in for x

y = 2(25) - 20         Square 5 and multiply 4 by 5

y = 50 - 20             Multiply 2 by 25

y = 30

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

6 0
3 years ago
Which of the following shows the number of time 3 1/5 fits into 10 1/2
ollegr [7]
The answer is 0.304762
7 0
3 years ago
Read 2 more answers
Deshawn leaves his house to run 5 miles. So
kow [346]

Answer:

He would need to run 7 more times to meet his goal of 5 miles

3 0
3 years ago
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