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3 years ago

Please answer these 5 questions ill give brainliest and give more points after you answer

Mathematics

1 answer:

givi [52]3 years ago

3 0

Answer:

go to the skating rink

Step-by-step explanation:

if multiply 5x 7 you get 35

If you add 35+15 you get 50 which is the amount of money you have. So if you chose the bowling ally you could bring 7 friends

but is you multiply 3x10 that equals 30

Add that by 20 and you get 50

let me know if its right

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Form the union for the following sets m={} n={6,7,8,9,10}

Levart [38]

Answer:

$M\cup N$ ={6,7,8,9,10}.

Step-by-step explanation:

We have an empty set: M={} and the set N={6,7,8,9,10}.

The union of these two sets are elements in M or N or both.

Since the M is a null set, $M\cup N=N$

Therefore: $M\cup N$ ={6,7,8,9,10}.

The union for the given sets is {6,7,8,9,10}.

4 0

3 years ago

At what point does the curve have maximum curvature? Y = 4ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as

MAXImum [283]

<u>Answer-</u>

At $x= \frac{1}{2304e^4-16e^2}$ the curve has maximum curvature.

<u>Solution-</u>

The formula for curvature =

$K(x)=\frac{{y}''}{(1+({y}')^2)^{\frac{3}{2}}}$

Here,

$y=4e^{x}$

Then,

${y}' = 4e^{x} \ and \ {y}''=4e^{x}$

Putting the values,

$K(x)=\frac{{4e^{x}}}{(1+(4e^{x})^2)^{\frac{3}{2}}} = \frac{{4e^{x}}}{(1+16e^{2x})^{\frac{3}{2}}}$

Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.

${k}'(x) = \frac{(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})}{(1+16e^{2x} )^{2}}$

Now, equating this to 0

$(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x}) =0$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}-(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}=(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{1}{2}}=48e^{2x}$

$\Rightarrow (1+16e^{2x})}=48^2e^{2x}=2304e^{2x}$

$\Rightarrow 2304e^{2x}-16e^{2x}-1=0$

Solving this eq,

we get $x= \frac{1}{2304e^4-16e^2}$

∴ At $x= \frac{1}{2304e^4-16e^2}$ the curvature is maximum.

6 0

2 years ago

36x-2 + 34x+2 = 180 solve

nikklg [1K]

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

7 0

2 years ago

Read 2 more answers

If a system of linear equations has no solution, then

Natali5045456 [20]

Answer:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore the graphs are parallel and there is no solution.

Step-by-step explanation:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore the graphs are parallel and there is no solution.

5 0

3 years ago

Read 2 more answers

What is -9x - 5 - 8 + x in Simple form

Yanka [14]

Answer:

-10 x-13

Step-by-step explanation:

8 0

3 years ago