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Naddik [55]
2 years ago
10

Lindsay is sewing a square quilt with 118 square feet of fabric without any overlap. Which measurement is closest to the side le

ngth of this quilt in feet? Side Length: __________
Mathematics
1 answer:
Ierofanga [76]2 years ago
8 0

Answer:

<h3>11ft</h3>

Step-by-step explanation:

Using the formula finding the area of a square.

Area of a square =L²

L is the length of the quilt

Given area of the square quilt = 118ft²

Substituting into the formula;

118 = L²

square root both sides

√L² = √118

L = √118

L = 10.86ft

L ≈ 11ft

The measurement that is closest to the side length of this quilt in feet is 11ft

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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
Please helpp me (and explain if you can pls:) ) TYSMMM!!!!
Vedmedyk [2.9K]

Answer:

the last three

Step-by-step explanation:

cuz im big brains like that

5 0
2 years ago
Read 2 more answers
What is the 13 times tables
tensa zangetsu [6.8K]
0 X 13 = 0
1 X 13 = 13
2 X 13 = 26
3 X 13 = 39
4 X 13 = 52
5 X 13 = 65
6 X 13 = 78
7 X 13 = 91
8 X 13 = 104
9 X 13 = 117
10 X 13 = 130
11 X 13 = 143
12 X 13 = 156
13 X 13 = 169
14 X 13 = 182
15 X 13 = 195
16 X 13 = 208
17 X 13 = 221
18 X 13 = 234
19 X 13 = 247
<span>20 X 13 = 260</span>
7 0
3 years ago
Read 2 more answers
If f(x)= 4-2x and g(x)=6x which expression is equivalent to (g-f)(3)
Dmitrij [34]

Answer:

(g-f)(3) = 20

Step-by-step explanation:

g(3)=6 * (3) = 18

f(3)= 4-2(3) = 4 - 6 = -2

So

(g-f)(3) = 18 - (-2) = 20

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Hatshy [7]
Switch the x and y values and isolate y, then simplify.
x=6y+5
6y=x-5
y=1/6x-5/6
4 0
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