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strojnjashka [21]
3 years ago
10

Pls help with #14 and #15!!!Asap 15 points

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

14. -g + 10, 15. 12k + 3

Step-by-step explanation:

I'm assuming you want to simplify the equation. For 14, we distribute -2. This gets us -2g + 10 + g. We can simplify that to -g + 10. We can't simplify that, so our answer is complete. For 15, we combine 8k and 4k to get 12k + 3. That can't be simplified, so we are done.

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If Nike is having a 30% off sale, and you want a pair of Jordan's that originally cost $100, what is the sale price?​
Sergio039 [100]

Answer:

70 or 80

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount =
tekilochka [14]

Answer:

7 years

Step-by-step explanation:

Given:

Principal P = 9300

Interest rate r = 13% = 0.13

Final amount F = 17,763

Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.

The formula for simple interest is;

Interest I = Prt .....1

t = period

Final amount F = P + I

I = F-P

Substituting into equation 1;

(F-P) = Prt

t = (F-P)/Pr

Substituting the given values;

t = (17,763 - 9300)/(9300×0.13)

t = 7 years

Period = 7 years

5 0
4 years ago
A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level
cupoosta [38]

Answer:

The sample required is  n = 135

Step-by-step explanation:

From the question we are told that

     The  standard deviation is  \sigma = 9

      The margin of error is E =  2

     

Given that the confidence level is  99%  then the level of  significance is mathematically evaluated as

         \alpha =  100-99

        \alpha =  1 \%

        \alpha =  0.01

Next we will obtain the critical value  \frac{\alpha }{2} from the normal distribution table(reference  math dot armstrong dot edu) , the value is  

             Z_{\frac{\alpha }{2} } =  Z_{\frac{0.05 }{2} } =  2.58

The  sample size is mathematically represented as

          n = [ \frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ]^2

substituting values

           n = [ \frac{ 2.58 *  9 }{2} ]^2

            n = 135

3 0
3 years ago
The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters
Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, z \propto x , z \propto \frac{1}{y}

then the equation is in the form: z = k\frac{x}{y} where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e V \propto T , V \propto \frac{1}{P}

by definition of joint variation:

V = k\frac{T}{P}  .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

10 = k\frac{300}{1.5}

Simplify:

10 = 200k

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k = \frac{10}{200} =\frac{1}{20}

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4

Therefore, the Volume of a gas is, 4 liters


5 0
3 years ago
Solve f(2) for f(x)=x-51<br><br> f(2)= [?]
givi [52]
Plug in 2 for x. f(20=2-51 = -49
5 0
3 years ago
Read 2 more answers
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