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Natasha_Volkova [10]
3 years ago
12

The fence along the length of a ranch measures 4,450.5 meters and the fence along the width of a ranch measures 2,890 meters.

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0
Given:
Length = 4,450.5 meters
Width = 2,890 meters

1 kilometer = 1,000 meters

Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km

Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km

4.4505 km - 2.89 km = 1.5605 km

The length of the fence is 1.5605 km longer than the width of the fence.
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Remember to show work and explain. Use the math font.
fiasKO [112]

Answer:

\large\boxed{1.\ f^{-1}(x)=3\log_5x}\\\boxed{2.\ f^{-1}(x)=\log_6(-x)}

Step-by-step explanation:

\log_ab=c\iff c=a^b\\\\\log_aa^n=n\\---------------------\\\\1.\\y=5^{\frac{x}{3}}\\\\\text{Exchange x and y}\\\\5^\frac{y}{3}=x\\\\\text{Solve for y:}\\\\5^\frac{y}{3}=x\qquad\log_5\text{of both sides}\\\\\log_55^\frac{y}{3}=\log_5x\Rightarrow\dfrac{y}{3}=\log_5x\qquad\text{multiply both sides by 3}\\\\y=3\log_5x\\---------------

2.\\y=-6^x\\\\\text{Exchange x and y:}\\\\-6^y=x\\\\\text{Solve for y:}\\\\-6^y=x\qquad\text{change the signs}\\\\6^y=-x\qquad\log_6\ \text{of both sides}\\\\\log_66^y=\log_6(-x)\Rightarrow y=\log_6(-x)

6 0
4 years ago
And please show work (answer #4)
algol [13]
Part A.

The building is made up of two rectangular prism.
The left rectangular prism has base 8 ft by 12 ft and height 24 ft.
The right rectangular prism has base 32 ft by 12 ft and height 16 ft.
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For the building, the total volume is:

V = LWH + LWH

V = 8 ft * 12 ft * 24 ft + 32 ft * 12 ft * 16 ft

Part B.

V = 2304 ft^3 + 6144 ft^3

V = 8448 ft^3
8 0
3 years ago
Plssss help i just need the answer
NARA [144]

Answer:

x=19

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

6x+3x-5+14=180

9x+9=180

   -9    -9

9x=171

/9   /9

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7 0
3 years ago
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Vlad [161]

Answer:

46 units^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is

SA = 2(lw +lh+wh)  where l is length, w is width and h is height

SA = 2 (2.5* 4+ 2.5*2 + 4*2)

      = 2 (10+5+8)

       = 2( 23)

       = 46 units^2

4 0
3 years ago
If he jogs at a constant speed of 9km/h, tell me how far kurt jogs each day. On which day did he jog the furthest?
umka21 [38]

Answer:

It is the same speed everyday

Step-by-step explanation:

It is a constant speed

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3 years ago
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