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2 years ago

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7 0

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Evaluate the function rule for the given value. f(x)=3^x for x=-5

FromTheMoon [43]

Answer:

$\frac{1}{243}$

Step-by-step explanation:

using the rule of exponents

$a^{-m}$ ⇔ $\frac{1}{a^{m} }$

f(- 5) = $3^{-5}$ = $\frac{1}{3^{5} }$ = $\frac{1}{243}$

6 0

3 years ago

Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long

Ne4ueva [31]

We are given

Jim's backyard:

Length is

$L=15\frac{5}{6} =\frac{95}{6} yards$

width is

$W=10\frac{2}{5} =\frac{52}{5} yards$

Since, this is rectangle

so, we can find area of rectangle

$A=L*W$

$A=(\frac{95}{6})*(\frac{52}{5})$

$A=\frac{494}{3} yard^2$

Area of one sod:

length is

$l=1\frac{1}{3} =\frac{4}{3} yards$

width is

$w=1\frac{1}{3} =\frac{4}{3} yards$

Since, it is rectangle in shape

so,

$Area=l*w$

$A=\frac{4}{3}*\frac{4}{3}$

$A=\frac{16}{9}yard^2$

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

$N=\frac{\frac{494}{3} }{\frac{16}{9} }$

now, we can simplify it

$N=\frac{741}{8}$ pieces need ..............Answer

7 0

3 years ago

Please Help! In the heavyweight class of professional wrestling, the junior weight limit is 190 pounds. This is 15 pounds heavie

lina2011 [118]

190
- 15
------
175 pounds

7 0

3 years ago

-6x-7=3x+11 how to solve this problem

Shalnov [3]

You have to get the x to one side so you'll subtract 3x from -6x and 3x from 3x, the 3x will cancel out and -6x - 3x is -9x-7=11, you have to add 7 from both sides the 7+7 cancels out and also add 11+7 which leaves -9x=18, you have to divide -9x/-9 and do 18/-9, which gets you x=-2. Here's the work shown if you didn't what i said...
-6x-7=3x+11
-3x -3x
-9x-7=11
+7 +7
-9x=18
-9 -9
x=-2

6 0

3 years ago

F (x) = v= - 8. Find f '(x) and its domain.

Flauer [41]

Answer:

Step-by-step explanation:

Hope this helps

5 0

2 years ago