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Hello Guest !

What is the value of b in the following question? 3^(4b) = 9^(b + 3) ?

3 ^ (4b) = 9 ^ (b + 3)

4b * lg3 = (b + 3) * lg9

4b * lg3 = b * lg9 + 3 * lg 9

4b * lg3 - b * lg9 = 3 * lg 9

b * (4 * lg3 - lg9) = 3 * lg9

b = 3 * lg9 / (4 * lg3 - lg9)

b = 3

Greeting asinus :- )

  !

Gibson was better! Respect!

I believe that you entered 48 146 134( 1 + 0,089 ) ^ 1  (etc.)

I believe that you thought that you entered  1 + 0 .0089  but you actually entered  1 + 0.089  for each of the problems.

\({3}^{4b}={9}^{b+3}\)

\({3}^{4b}={3}^{2(b+3)}\)

\(4b=2(b+3)\)

\(4b=2b+6\)

\(2b=6\)

\(b=3\)

Is the equation  g(x)  =  6x² + 3  odd, even, or neither?

g(x)  =  6x² + 3  can be written as  g(x)  =  6x² + 3x⁰  

Since each term has an even power (zero is an even number) of its variable, it is an even function.

Good morning Guest!

A trapezium of area A = 60 cm² has parallel sides of length a =12 cm and b = 8cm. What is the difference h between two parallel sides?

A = (a + b) * h / 2

h = 2A / (a + b) = 2 * 60 cm² / (12 + 8) cm

h = 6 cm

The difference between two parallel sides is 6 cm.

Greeting asinus :- )

  !

\(\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\)

\(\frac{1}{4}\times\frac{1}{2}\)

\(\frac{1}{8}\)

Guten Morgen Guest!

Find the width of a rectangular prism with a volume of 60 cm³ and a length equal width of 3 cm and a height of 12cm.

This rectangular prism is a square prism.

V = w² * h

w = √(V / h) = √(60 cm³ / 12 cm) = √(5 cm²)

w = 2.236 cm

The width of a rectangular prism is 2.236 cm.

Greeting asinus :- )

  !

Just type "pi" in and it will work.

The √x key should do the trick!

you have to use the little x with the two next to it (x²) on the tool bar above when typing

corect i just wanted to see how may dumb people are out there. I am actually in 8th grade

x=3 you just divide both by 4 then the 4's make 1x or just x and then 12 divided by 4 is three. You drop down both the x as well as the equal sign and get the answer: x=3

The division sign button acts as a fraction button on the screen.

Your question is...

5 hammers

5/3.

Gradient given by   m   =  {y(2)-y(1)}/{ x(2)- x(1) }

So  (5 -0)  / (3-0)                 = 5/3

4x^3=12

x^3=3

x=1.4422495703074084

8 - √(√(8 + 8))= 6

8-√(4)=6

8-2=6

3 = (X^2 + Ax + 4)^(1/2)
SQUARE BOTH SIDES
9 = X^2 + Ax + 4
TRANSFER ALL TERMS TO ONE SIDE
0 = X^2 + Ax + 4 - 9
0 = X^2 + Ax - 5
0 = (X+1)(X-5)
0 = X^2 -5x + x - 5
0 = X^2 -4x - 5
A = -4

19000 is invested at 6% p.a. If interest is compounded annually, find the balance after 22 years.

FV=PV[1+R]^N

FV=19,000 [1.06]^22

FV=19,000 x 3.6035374

FV=$68,467.21

at an (actual) annual inflation rate of 3.2%, how much will a 46cents postage stamp in 2013 cost in the year 2026?

2026 - 2013=13 years

FV=PV[1+R]^N

FV=46 x 1.032^13

FV=46 x  1.5060384

FV=69.28 or 69 cents (rounded)

5/8 of 14kg=5/8 x 14 =70/8=8 3/4 kg

Sqrt(2) cm=would be the shortest distance.

This is a very easy and very common form of an investment. To find the yield, you have to find an interest rate that will equate the PV of all the cash flows to the initial investment of $100,000. After a few iteration, it will be found that the IRR on this investment is about 5.58% compounded monthly.