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Artemon [7]
1 year ago
12

Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-

3}3 −3 3^{3}3 3
Mathematics
1 answer:
mars1129 [50]1 year ago
5 0

Answer:

27

Step-by-step explanation:

Given the expression

\left(3^{-6}\times 3^{3}\right)^{-1}\\

According to law of indices, this can be written as;

\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27

Hence the required answer is 27

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$1.12 for 8.2 ounces? Unit Rate
Reil [10]
That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)

First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659
4 0
2 years ago
Evaluate 6+3b if b=7
Pavlova-9 [17]
27. Replace b with 7, making 6 + 3(7). The 3 and parentheses of 7 hint multiplication, so you multiply to make 21, then add 6 relating back to PEMDAS to teach you the correct order to solve the problem.
6 0
2 years ago
Read 2 more answers
Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
Mandarinka [93]
Let x - hours Carlos drove ; Let y - hours Maria drove

Equation 1: x + y = 4.4
x = 4.4 - y

Equation 2: 55x + 50y = 233
55(4.4 - y) + 50y = 233
242 - 55y + 50y = 233
-5y = 233-242
-5y = -9
y=9/5 or 1.8 hours Maria drove

To find time Carlos drove:
x=4.4 - 1.8
x = 2.6 hours

3 0
2 years ago
Read 2 more answers
The table shows the number of condo sales per month for a new condo building.
Tresset [83]

Answer:

Do you happen to have the graph or anything to add to it? Because it is kind of difficult to see when it looks like that. I think it would be 11, 8, 5, and

y-2--3(x-3)

y+ 11 = 31-0)

y+ 1 =-3(x-2)

Y-1--31% +8)

y-11 =-3lx -0)

8 0
2 years ago
Suppose babies born in a large hospital have a mean weight of 4095 grams, and a standard deviation of 569 grams. If 130 babies a
Butoxors [25]

Answer:

P =0.3998

Step-by-step explanation:

Let {\displaystyle {\overline{x}}} be the average of the sample, and the population mean will be \mu

We know that:

\mu = 4095 gr

Let \sigma be the standard deviation and n the sample size, then we know that the standard error of the sample is:

E=\frac{\sigma}{\sqrt{n}}

Where

\sigma=569

n=130

In this case we are looking for:

P(|{\displaystyle{\overline{x}}}- \mu|>42)

This is:

{\displaystyle{\overline{x}}}- \mu>42 or {\displaystyle{\overline{x}}}- \mu

P=P({\displaystyle{\overline{x}}}- \mu>42)+ P({\displaystyle{\overline{x}}}- \mu

Now we get the z score

Z=\frac{{\displaystyle{\overline{x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}

P=P(z>\frac{42}{\frac{569}{\sqrt{130}}}) + P(z

P=P(z>0.8416) + P(z

Looking at the tables for the standard nominal distribution we get

P =0.1999+0.1999

P =0.3998

6 0
2 years ago
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