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Gala2k [10]
3 years ago
15

Rewrite the expression (6 ^10 × 6 ^− 4 ) (6 ^− 5 × 6 ^2 )as a single term of the form 6 ^n.

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

6^-9

Step-by-step explanation:

(6 ^10 × 6 ^− 4 ) (6 ^− 5 × 6 ^2 )

= 6^(10 + -4) * (6^(-5 + 2)

= 6^-6 * 6^-3

= 6^(-6 + -3)

= 6^-9

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3 years ago
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A pool of linen container 100 meters. three butete brought 15.75 meters, 22.50 meters and 12.25 meters respectively. how many me
Nitella [24]

Answer:

49.5 meters of linen were left after the sale.

Step-by-step explanation:

Given that there are 100 meters of linen

And 15.75, 22.50 and 12.25 meters are sold.

This means that the sold linen has to be added  to find the total linen sold.

And then the quantity of sold linen will be subtracted from 100 to find the meters of linen left.

Total\ linen\ sold = 15.75+22.50+12.25 = 50.5\ meters

Left linen will be:

=100-50.5 = 49.5

Hence,

49.5 meters of linen were left after the sale.

6 0
3 years ago
Solve for x in the literal equation −3 = xy + z.
earnstyle [38]
- 3 = xy + z

xy + z =  - 3

subtract z  from both sides:

xy +z - z = -3 - z

yx = - 3 - z

Divide both sides by y :

yx / y = - 3 - z / y

x = -3-z / y

y ≠ 0

hope this helps!


7 0
3 years ago
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Write a real world situation that could be modeled by the creation 100 minus 6X equals 160-10 X
nikitadnepr [17]

Answer:

Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.

Step-by-step explanation:

Consider the provided information.

We need to write a real world situation that could be modeled by the equation 100-6x=160-10x.

You can use any situation to represents this equation.

The left side of the equation consists of a constant and a variable also the right side of the equation consists of a constant and a variable.

Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.

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3 years ago
Test the claim that the proportion of people who own cats is significantly different than 90% at the 0.1 significance level.
miss Akunina [59]

Answer:

The right answer is Option B:

H_0: \pi=0.9\\\\H_1: \pi\neq0.9

Step-by-step explanation:

In this case we have to perform a hypothesis test on the proportion of the people owning cats.

The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).

The right answer is Option B:

H_0: \pi=0.9\\\\H_1: \pi\neq0.9

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3 years ago
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