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Gnesinka [82]
3 years ago
6

8^(c+1)=16^(2c+3) solve the inequality please show work

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

Step-by-step explanation:

8^{c+1}=16^{2c+3}\\(2^{3} )^{c+1} =(2^{4}) ^{2c+3} \\2^{3(c+1)} =2^{4(2c+3)} \\3(c+1)=4(2c+3)\\3c+3=8c+12\\8c-3c=3-12\\5c=-9\\c=-\frac{9}{5}

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Mr green makes some compost he mixes soil, manure and leaf mould in the ratio 3:1:2 mr greenmakes 72 literes of the compost. How
love history [14]

Answer:

36\ liters\ of\ soil

Step-by-step explanation:

we know that

The ratio of soil, manure and leaf mould is 3:1:2

That means

For every 6 liters of the compost, he use 3 liters of soil

so by proportion

Find how many liters of soil does he use for 72 liters of compost

\frac{3}{6}=\frac{x}{72}\\ \\x=3*72/6\\ \\x=36\ liters\ of\ soil

8 0
3 years ago
Write an algebraic expression to answer each question do this on a sheet of paper
Korolek [52]

Hello.

In 10 years, his age will be

\mathrm{z+10}

The sum of his current age and 10 equals his age in 10 years.

2 years ago his age was

\mathrm{z-2}

The difference of his current age and 2 equals his age 2 years ago.

7 years ago his age was

\mathrm{z-7}

The difference of his current age and 7 equals his age 7 years ago.

Therefore, his age after 10 years will be \mathrm{z+10}, his age 2 years ago was \mathrm{z-2}, and his age 7 years ago was \mathrm{z-7}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

4 0
2 years ago
Read 2 more answers
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
I will mark as brainest
daser333 [38]

subtract 3 from 23 and u will get 20 then divide 2 by 2 and 2 by 20

x= 10

8 0
3 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!
musickatia [10]
59° + 81°+ x° = 180°

140° + x° = 180°

x = 40°
8 0
3 years ago
Read 2 more answers
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