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Andre45 [30]
3 years ago
15

The art club had an election to select president​

Mathematics
1 answer:
lesya [120]3 years ago
8 0
That is very cool thanks
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What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
AveGali [126]

Answer: \text{Area of the square shaped traffic sign }=16x^2+9+24x

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

Area= side^2

Therefore, the area of the side of the square shaped field is given by:-

Area=(4x+3)^2

We know that , (a+b)^2=a^2+b^2+2ab

Therefore,

(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x

Hence, \text{Area of the square shaped traffic sign }=16x^2+9+24x

3 0
3 years ago
Read 2 more answers
Which numerical expression represents the following calculation?
soldi70 [24.7K]

Answer:

I think it's c tell me it i'm wrong

Step-by-step explanation:

they both have and so it would be times  

5 0
3 years ago
Read 2 more answers
Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.
Sladkaya [172]

Answer:

The solution is  \frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

Step-by-step explanation:

From the question

    The function given is  f(x) =  \frac{e^{2x}}{ 25 + e^{4x}} dx

The  indefinite integral is  mathematically represented as

          \int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx

Now  let  e^{2x} =  u

=>   \frac{du}{dx} 2e^{2x}

=>   2 e^{2x}dx =  du

So

\int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx =  \int\limits  {\frac{1}{ 2(25 + u^2)} } \, du

= \frac{1}{2} \int\limits  {\frac{1}{ 25 + u^2)} } \, du

=  \frac{1}{2} \int\limits  {\frac{1}{ 5^2 + u^2)} } \, du

= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5}  +  C

Now substituting for  u

\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

3 0
3 years ago
Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding a
Sedbober [7]

Answer:

The number of combinations will she have to analyze is  10.

Step-by-step explanation:

We know that Boeing currently produces five models of airplanes for commercial sale.  The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes.  We calculate the number of combinations will she have to analyze.

C^5_3=\frac{5!}{3!(5-3)!}=\frac{5\cdot 4\cdot 3!}{3!\cdot 2\cdot 1}=10

The number of combinations will she have to analyze is  10.

4 0
3 years ago
1. Given the equation ​ ​y​ = -3​x​ + 2.5
valentina_108 [34]

Answer:

a. when x=1 so substitute 1 to any X in the given equation.

y=-3(1)+2.5

y=-3+2.5

y=-0.5

b.when x is -1.5 so substitute -1.5 to any x in the equation

y=-3(-1.5)+2.5

y=-4.5+2.5

y=-2

4 0
3 years ago
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