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shusha [124]
3 years ago
15

HELP ME PLZ IN UNDER 10 MINUTES!!! WILL GIVE BRAINLIEST AND RATE!! 1.Simplify. 10y(3x – 7z) IS IT: 30xy – 70yz, 103xy – 107yz, 3

0xy – 7z 3x, OR – 70yz
2. Simplify. 6(4m + 5) IS IT:24m + 5, 4m + 30, 24m + 30, OR 64m + 65

3. Simplify the following expression using the distributive property. 8(m + 11)
IS IT: 8m + 11, 19m, 8m + 88, OR 88m

4. Simplify. p(17 + 24r) IS IT: 17 + 24pr, 17p + 24pr, 17p + 24r, OR 17 + 24r
Mathematics
2 answers:
hram777 [196]3 years ago
7 0
1. 30yx - 70 yz 
2. 24m+30
3. 8m+88
4. 17p+24pr
Crank3 years ago
3 0
10y(3x-7z)

30xy-70yz

....

6(4m+5)

24m+30

....

8(m+11)

8m+88

....

p(17+24r)

17p+24pr
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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
2/3x+4=2x true or false
aleksley [76]

Answer: False !!!

do the math

5 0
3 years ago
which number is a prime factor of 210 A.2 to the 6th power B.6 to the 2nd power or 6 squared C.12 to the 6th power.Exponents and
Elden [556K]
210=2*3*5*7
none of them

if you meant 2¹⁰ then the answer is A because 2¹⁰=2*2*2*2*2*2*2*2*2*2=(2⁶)(2⁴)


A
8 0
3 years ago
Help please, be sure your right.
Zarrin [17]

Answer:

Step-by-step explanation:

<u><em>System A and System B are </em></u><u><em>not equivalent</em></u> !!!  

4 0
3 years ago
Please help
algol13
Equation: 17 + x = 23
To solve this you would do 23 - 17 to get x
x = 6
8 0
3 years ago
Read 2 more answers
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