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2 years ago

64/81 = 8/9 to the power of what

1 answer:

5 0

The power is 2 because the numbers of both numerator and denominator are multiplied in double that is 8*8 = 8^2 = 64 and 9*9 = 9^2 = 81

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The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of

koban [17]

Answer:

Please check solution for answer

Step-by-step explanation:

The general equation of for the slope of a line is

y = mx + c

where m is slope and c is the y-intercept

a). Yes it is in the slope-intercept form

b) The slope would represent the amount of money in dollars per week that is in the wallet

c) The y-intercept would be 125 and it is the amount of money present in the wallet before today

d) The slope would have a unit of dollars per week

8 0

2 years ago

Rhode island is the smallest state. It has an area of approximately 1.55*10^3 square miles. Alaska is the largest state. The are

cestrela7 [59]

The total area of Alaska in sq miles is 591,004 sq miles.

8 0

2 years ago

Read 2 more answers

(Fog) (x) f(x)=6x-5 g(x) =6x^2-3x

algol [13]

Answer:

see below

Step-by-step explanation:

put g(x) in for the x in f(x)

$f(x)= 6x-5\\g(x)= 6x^{2} -3x\\f(g(x)= 6(6x^{2} -3x)-5$

5 0

2 years ago

A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the

vovangra [49]

Answer: (A) $A=300l-l^{2}$

(B) Length varies between 1 and 150

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

$2l+2w=600$

Area of a rectangle is calculated as

$A=lw$

Now, we have a system of equations:

$2l+2w=600$

$A=lw$

Isolate w, so we have l:

$2w=600-2l$

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) Function of area in terms of length is given by A = 300l - l²

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

The largest area the fence can enclose is 22500ft².

4 0

2 years ago

Question

maria [59]

Answer:

y = m x + b equation of a straight line

m m' = -1 condition for perpendicular lines

If y = 4 x - 7 then m = 4 so m' = -.25

Y = -.25 X + A we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

3 0

2 years ago