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ziro4ka [17]
3 years ago
6

What is the product of (3y^-4)(2y^-4)?

Mathematics
2 answers:
borishaifa [10]3 years ago
4 0
(x^a)(x^b)=x^(a+b)

(ab)(cd)=(a)(b)(c)(d)

x^-m=1/(x^m)


(3y^-4)(2y^-4)=
(3)(y^-4)(2)(y^-4)=
(6)(y^-8)=
6/(y^8)
lubasha [3.4K]3 years ago
4 0

Answer:

Product of (3y^{-4})(2y^{-4})=6y^{-8}

Step-by-step explanation:

Given : Expression (3y^{-4})(2y^{-4})

To find : The product of the given expression?

Solution :

(3y^{-4})(2y^{-4})

Applying property of exponent, x^a\times x^b=x^{a+b}

Comparing with given expression x=y , a=-4 and b=-4

=(3)\times(2)\times(y^{-4+(-4)})

Multiply 3 and 2,

=6\times(y^{-8})

=6y^{-8}

Therefore, Product of (3y^{-4})(2y^{-4})=6y^{-8}

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Solve the Quadratics:
klasskru [66]

Answer:

Step-by-step explanation:

1 ) k²-8k = 0

k(k-8)=0

k = 0 or k=8

2) a²+5a=0

a(a+5) = 0

a=0 or a  = - 5

3 ) 6n²+5n-25=0

delta = b²-4ac      b =5 and a = 6   and   c= - 25

delta = 5²-4(6)(-25) = 625 = 25²

n 1 = (-5+25)/12 = 20/12 = 5/3

n 2 = (-5-25)/12 = -  30/12  = -5/2

same method for 4) and 5)

6 0
3 years ago
A Cylinder has a base radius of 7m and a height of 14m. what is its volume in cubic in to the nearest tenths place
Mars2501 [29]

Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

7 0
3 years ago
In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
irinina [24]

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.

3 0
3 years ago
Y=-2/5x<br> a. direct <br> b. inverse <br> c. neither
disa [49]

Answer:

a. direct

Step-by-step explanation:

direct variation is y = kx and y = -2/5x is written in direct variation.

7 0
2 years ago
Elle placed a bucket under a leaky roof. The bucket was 310 full after 25 of an hour. How much water is leaking per hour?
kvasek [131]

Answer:

3/4 bucket

Step-by-step explanation:

Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour

Water leaking : time taken

Let x = amount of water leaking per hour

3/10 : 2/5 = x : 1

3/10 ÷ 2/5 = x / 1

3/10 × 5/2 = x / 1

15 / 20 = x / 1

Cross product

15 * 1 = 20 * x

15 = 20x

x = 15/20

= 3/4

3/4 bucket of water is leaking per hour

4 0
3 years ago
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