Simplify by factoring. Assume that no radicands were formed by raising negative numbers to even powers. two questions below that i need help on√(148)

\sqrt[4]{80}

Answers

Answer 1
Answer: √(148)=√(4\cdot37)=\sqrt4\cdot√(37)=2√(37)\n\n\n===========================\n\n\sqrt[4]{80}=\sqrt[4]{16\cdot5}=\sqrt[4]{16}\cdot\sqrt[4]5=2\sqrt[4]5

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X+7x+4-5x+8=12 please help meeee!

Answers

Answer:

THERE

Step-by-step explanation:

To solve the equation x + 7x + 4 - 5x + 8 = 12, we can combine like terms on both sides of the equation:

Starting with the left side of the equation:

x + 7x - 5x + 4 + 8 = 12

Combining like terms:

3x + 12 = 12

Next, we can isolate the variable by subtracting 12 from both sides of the equation:

3x + 12 - 12 = 12 - 12

Simplifying:

3x = 0

To solve for x, we divide both sides of the equation by 3:

(3x)/3 = 0/3

Simplifying further:

x = 0

Therefore, the solution to the equation x + 7x + 4 - 5x + 8 = 12 is x = 0.

H(t)=-16t^2+24So I have to find how long (in seconds) it will take a tool to fall to the ground from a height of 24 feet. I am using the equation h(t)=-16t^2+24 to find it but I'm not sure how to solve it or where to even get started! Any help would be great thank you!

Answers

when h(t)=0, it hits the ground

solve
0=-16t^2+24
factor out -8
0=-8(2t^2-3)
we know that
0=2t^2-3 since factors have to multiply to 0
add 3 to both sides
3=2t^2
divide both sides by 2
1.5=t^2
sqrt both sides
1.2247=t

after about 1.2247 seconds it will hit the ground

A square garden is 10 ft. long how much will it cost to install a fence around the garden if the fence costs $1.75 per ft.

Answers

okay so what you do is 10*1.75 which equals $17.50

Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Sebastian have to pay for parking if he left his car in the lot for 2 hours? How much would Sebastian have to pay if he left his car in the lot for tt hours?Cost for 2 hours:
Cost for t hours:

Answers

Answer:

1. 16$

2. 10+3(t)=$

Step-by-step explanation:

1. 10+3+3=16

During a four-week period, you worked the following hours: Week 1- 363 /8 hr; Week 2- 411 /4 hr; Week 3- 401 /2 hr; Week 4- 383 /8 hr What is the average number of hours you worked in one week?A. 393 /8 hr
B. 381 /4 hr
C. 391 /8 hr
D. 383 /4 hr

Answers

Total hours worked in 4 weeks = (363/8) + (411/4) + (401/2) + (383/8)
                                                 = (363 + 822 + 1604 + 383)/8
                                                 = 3172/8 hours
                                                 = 793/2
Then
Average hours worked in a 4 weeks = (793/2) hours
So
Average hours worked in 1 week = 793/(2 * 4) hours
                                                     = 793/8 hours
So the average number of hours worked in 1 week is 793/8 hours.                                                     

What Is the domain of the function

Answers

Domain is 0 <= x < 4