How many liters of a 10% alcohol solution must be mixed with 40 liters of a 50% alcohol

Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: h (h(x)) and. g (h (x))

ki77a [65]

H(h(x)) means to use the entire function h(x) as the x value in the function h(x)..

h(h(x)) = (x²+1)² + 1
= (x²+1)(x²+1) + 1
= (x^4 + x² + x² + 1) + 1
= x^4 + 2x² + 2

g(h(x)) means to use the entire function h(x) as the x value in the function g(x)..

g(h(x)) = 3(x² + 1)
= 3x² + 3
g(h(x))

7 0

2 years ago

How much simple interest does 2560 earn in 17 months at a rate of 1 1/8

Tatiana [17]

Answer:185.87

Step-by-step explanation:

Explanation:

simple interest (SI) can be calculated using the formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

2

S

I

=

P

R

T

100

2

∣

−−−−−−−−−−−−−−−

where P is the Principal, that is amount of money

R is the rate of interest

T is time in years

here P

=

$

2560

,

R

=

5

1

8

=

41

8

and T

=

17

12

years

⇒

S

I

=

2560

×

41

8

×

17

12

100

⇒

S

I

=

2560

×

41

×

17

100

×

8

×

12

⇒

S

I

≈

$

185.87

to nearest cent

4 0

3 years ago

Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. you reach

erik [133]

All socks together: 13
Black socks: 3

Probability to pick out black socks: 3/13

After one pick out (You picked out a pair of black socks):

Probability to pick out black socks: 2/12

Multiply them:

2/12 * 3/13 = 1/26 ≈ 0,038

8 0

3 years ago

The floor of a triangular room has an area of 32 1/2 sq.m. If the triangle’s altitude is 7 172 m, write an equation to determine

sineoko [7]

Answer:

$\frac{(2)A}{h} =b$

b=0.00906m

Step-by-step explanation:

Hello! To solve this exercise we must remember that the area of any triangle is given by the following equation

$A=\frac{bh}{2}$

where

A=area=32.5m^2

h=altitude=7172m

b=base

Now what we should do take the equation for the area of a rectangle and leave the base alone, remember that what we do on one side of the equation we must do on the other side to preserve equality

$A=\frac{bh}{2} \\\frac{2}{h} A=\frac{bh}{2} \frac{2}{h} \\$