7. log 1000 (0.001 v0.001)
choose the correct answer by showing your steps
8. if for two real numbersx and yok" =then which of the following is true?
a. 2x=y
b. = 2
c. y = x2
d. y = x
9. if log x = -0.7321, then which of the following is true?
a.
x = antilog( 0.2679)
10
the characteristic of log xis-2
the mantissa of log x is 0.7321
x < 0.1
d.
10.
for a > 0 and a # 1, which of the following is not true about f(x) = a*, and
g(x) = loga x?
a. the domain of f(x) is the same as the range of g(x)
b. if a > 1 both f(x) and g(x) are increasing
c. they are inverse function of each other
d. for x > 0 both f(x)and g(x) are greater than 1

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.