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TEA [102]
3 years ago
12

Someone Please help me

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

6.5 hours

Step-by-step explanation:

He pays a flat fee of $65 and a rate of $40 per hour, we can set up the equation:

65+40h=325\\40h=260\\4h=26\\h=6.5

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What are the potential solutions to the equation 2ln(x+3)=0
skad [1K]
2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1

Expanding the left side gives

x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0

which gives two solutions, x=-4 and x=-2. But if x=-4, then \ln(x+3)=\ln(-1), but this number isn't real, so x=-4 is an extraneous solution. Meanwhile if x=-2, you get \ln(-2+3)=\ln1=0, so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
4 0
3 years ago
Read 2 more answers
How do I do this? Please explain in detail.
umka2103 [35]
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
8 0
3 years ago
Read 2 more answers
A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality repre
spin [16.1K]

Answer:

.

Step-by-step explanation:

0.85x + 375 > 450

5 0
3 years ago
(a+b)2 ;a=1/2 and b=2
FrozenT [24]

Answer:

\frac{25}{4}

Step-by-step explanation:

a + b = \frac{1}{2} + 2 = 2 \frac{1}{2} = \frac{5}{2}, thus

(a + b)² = (\frac{5}{2} )² = \frac{5}{2} × \frac{5}{2} = \frac{5(5)}{2(2)} = \frac{25}{4}

8 0
3 years ago
Read 2 more answers
mary wants to fill in a cylinder vase. the flower store told her to fill the vase 4/5 of the way for the flowers to last the lon
Goshia [24]

Volume is a three-dimensional scalar quantity. The volume of the water that Marry should pour into the vase is 241.28 cubic inches.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the radius of the flower vase is 4 inches, while the height of the vase is 6 inches, therefore, the total volume of the vase is,

Volume = πR²×H = π× 4²×6 = 301.6 in³

Since the volume of the vase is 301.6 in³, but the store has told her to fill the vase 4/5 of its capacity, therefore, the volume of water Marry should pour is,

Volume of water = (4/5) × 301.6 in³ = 241.28 cubic inches

Hence, the volume of the water that Marry should pour into the vase is 241.28 cubic inches.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

4 0
2 years ago
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