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3 years ago

Rename 5400 using place value chart

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

5,400 I think I'm right

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Exponents: Can me help me? This is the one, I just can't get.

aliina [53]

Answer:

Step-by-step explanation:

x^y * x^-y

When the bases are the same, we add the exponents when multiplying

x^(y-y)

x^0

Anything to the zero power is 1 (except 0)

4 0

3 years ago

Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

ASHA 777 [7]

Answer:

x ={0; - 1 ; 2 ; 1}

Step-by-step explanation:

x¹³-2x¹²-x¹¹+2x¹⁰=0

x¹⁰(x³-2x²-x+2)=0

x¹⁰(x+1)(x-2)(x-1)=0

x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0

x=0 x= - 1 x= 2 x= 1

3 0

3 years ago

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

3 years ago

Graph the function.<br> Y=[1/2x-1]

Scilla [17]

This should help you

3 0

2 years ago

The base of a triangle is 9 inches more than 3 times the height. if the area of the triangle is 105 square inches, find the base

wolverine [178]

So to solve you need to set up equations, Using h as the height. So the base is 9 inches more (+9) than 3 times the height (3h) so 3h+9 equals the base. You have the area so you need to plug in the equation for the base and h for height and divide it all by 2. h(3h+9)/2=105. after you solve that and get h by itself you should get h= 7 and the b= 30

4 0

3 years ago