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aalyn [17]
3 years ago
9

What is the value of square root x+3 when x=15​

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Answer:

4.24 (OR JUST 4.2)

Step-by-step explanation:

Equation=15+3 (square root)

15+3=18

find square root of 18= 4.24 (or 4.2)

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Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down w
Furkat [3]

Answer:

Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)

Liam's time was was 1 hour

So in conclusion, Liam was faster

Step-by-step explanation:

We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.

For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.

Hope this helps

3 0
3 years ago
Find the points of intersection of the lines 10x−4y=2 and 2x+8y=7 without graphing.
Jet001 [13]

Answer:

x=\frac{1}{2},y=\frac{3}{4}

Step-by-step explanation:

Given:

10x-4y=2 ,2x+8y=7

To find: points of intersection of the given lines

Solution:

In substitution method, the system of equations is solved by expressing one variable in terms of another, as a result, removing one variable from an equation.

10x-4y=2 \\2(5x-2y)=2\\5x-2y=1\\5x=1+2y\\x=\frac{1+2y}{5}

Put x=\frac{1+2y}{5} in the equation 2x+8y=7

2x+8y=7\\2[\frac{1+2y}{5}]+8y=7\\ 2+4y+40y=35\\44y=35-2\\44y=33\\y=\frac{33}{44}\\ =\frac{3}{4}

Put y=\frac{3}{4} in the equation x=\frac{1+2y}{5}

x=\frac{1+2y}{5}\\=\frac{1}{5}[1+2(\frac{3}{4})]\\=\frac{1}{5}[1+(\frac{3}{2})]\\\\=\frac{1}{5}(\frac{2+3}{2}) \\\\=\frac{1}{5}(\frac{5}{2})\\\\=\frac{1}{2}

Therefore,

x=\frac{1}{2},y=\frac{3}{4}

5 0
3 years ago
The equations in this sytem were added to solve for x. What is the value of x? Negative 8 x + 8 y = 8. 3 x minus 8 y = negative
melisa1 [442]

Answer:

change your cringe username please lol

Step-by-step explanation:

jk heres the answer D, x = 2

4 0
3 years ago
Abigail is driving on a long road trip. She currently has 13 gallons of gas in her car. Each hour that she drives, her car uses
denpristay [2]

Answer:

11

Step-by-step explanation:

6 0
3 years ago
The rate of growth of profit​ (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati
Alecsey [184]

Answer:

The function is  P(x) =  \frac{1}{2} e^{-x^2} +0.016

Step-by-step explanation:

From the question we are told that

    The rate of growth  is  P'(x) =  xe^{x} - x^2

     The total profit is P(2)  =$25,000

      The time taken to make the profit is x =  2 \ years

         

From the question

     P'(x) =  xe^{-x^2}  is the rate of growth

  Now here x represent the time taken

Now the total profit is mathematically represented as

       P(x) =  \int\limits {P'(x)} \,  =   \int\limits {xe^{-x^2}} \,

So using substitution method

   We have that

                      u =  - x^2

                      du =  2xdx

  So  

        p(x) =  \int\limits {\frac{1}{2} e^{-u}} \, du

       p(x) =  {\frac{1}{2} [ e^{-u}} +c ]

       p(x) =  {\frac{1}{2}  e^{-x^2}} + \frac{1}{2} c      recall  u =  - x^2   and  let  \frac{1}{2} c =  Z

       

At  x =  2 years  

     P(x)  =$25,000

So

       Since the profit rate is in million

    P(x)  =$25,000 = \frac{25000}{1000000} =$0.025 millon dollars

So  

       0.025 =  {\frac{1}{2}  e^{-2^2}} + Z  

=>    Z = 0.025 - {\frac{1}{2}  e^{-2^2}}  

       Z = 0.016  

So the profit function becomes

         P(x) =  \frac{1}{2} e^{-x^2} +0.016

     

       

5 0
3 years ago
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