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noname [10]
2 years ago
5

3x = 18 and y + 1 = 4. Find 2^x • 2^y.

Mathematics
1 answer:
Karolina [17]2 years ago
7 0

Answer:

512

Step-by-step explanation:

3x=18

\implies x=6

y+1=4

\implies y=3

2^x \cdot 2^y=2^6 \cdot 2^3=2^{(6+3)}=2^9=512

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A company has developed a new power cell and wants to estimate its average lifetime. A random sample of 650 power cells is teste
ohaa [14]

Answer:

The 315 hours is the value of a: statistic

Step-by-step explanation:

A random sample of 650 power cells is tested and the average lifetime of this sample is found to be 315 hours.

The 315 hours is the value of a: statistic

A statistic is defined as a characteristic of a sample. It is used to estimate the value of a population parameter.

Just like here where a random sample of 650 power cells were taken for a test. And 315 hours is an example of a statistic.

5 0
3 years ago
Giving brainliest to whoever can accurately solve these questions first.
lesantik [10]

1. The amount of money in the account after 10 years is 42,317.96 dollars.

2. it will take Pamela and Kevin 7.5 hours to complete the task together

<h3>How to find compound interest?</h3>

Question(1)

Using compound interest formula,

A = p(1 + \frac{r}{n} )^{nt}

where

  • p = principal
  • r = rate
  • n = number of times
  • t = time

Therefore,

p = 30,000

r = 3.5% = 0.035

t = 10

n = 1

Therefore,

A = 30000(1+\frac{0.035}{1} )^{1X10}

A = $42,317.96

Question 2:

Pamela takes 12 hours to complete a task.

Kelvin takes 20 hours to complete same task.

The time it will take both of them can be computed as follows:

using rate principle,

let

x = time it will take both of them to do the work together.

\frac{1}{x}=\frac{1}{12} + \frac{1}{20}

\frac{1}{x}=\frac{20+12}{240}

\frac{1}{x}=\frac{32}{240}

cross multiply

240 = 32x

x = 240 / 32

x = 7.5 hours

Therefore,  it will take Pamela and Kevin 7.5 hours to complete the task together

learn more on compound interest and rate here: brainly.com/question/18104604

#SPJ1

3 0
2 years ago
angelo rode his bike around a bike trail that was 1/4 of a mile long.he rode his bike around thetrail 8 times.Angelo says he rod
forsale [732]
Hi there!

From this problem we can pull out some key information and remove any excess.

- The trail is 1/4 of a mile long.
- Angelo rode around the trail 8 times.
- Angelo claims he rode 8/4 miles.
- Teresa claims he rode 2 miles.

From that we know that if Angelo rode around the trail 8 times and the trail is 1/4 a mile, he in total rode 8/4 of a mile.

However, Teresa claims he rode 2 miles!

And the answer is... they're both correct!

Angelo did indeed ride 8/4 miles however that is equivalent to 2 miles so they are both in the right.
7 0
4 years ago
I lost my protractor,what else can I use to measure and name angles? Thanks a lot!
kogti [31]
Only thing I can tell you is to use a corner to a piece of paper. The corner is 90 degrees.  It's acute if the corner is bigger than the angle. Obtuse if its smaller.
6 0
3 years ago
Read 2 more answers
If the outlier of this data set is removed, which statement about the data is true?
OverLord2011 [107]
Hello!

First you have to find what the outlier is

Since 55 if a number way higher than the rest of the data it is the outlier

Removing the outlier does not change the mode

Now we look at what the median is without the 55

The median is 40 when we remove the 55

The answer is A

Hope this helps!
8 0
4 years ago
Read 2 more answers
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