8. Evaluate the limit by using a change of variable. x* - 1 Vx – 2 а. lim 8 x - 8 d. lim Vx – 2 27 b. lim X→27 e. lim x-4 Vx3 - 8 - 3 (x + 8)* – 2 c. lim X1 X - 1 f. lim

Q: Luke's favorite cereal is Trix. he wants to know how much cereal is actually in the box. Luke…

A: Given: Luke's favorite cereal is Trix. He wants to know how much cereal is actually in the box. the…

Q: A bath tub is being filled at 2.8 gallons per minute. The drain is letting out 1.3 gallons per…

A: We have,  Qf.=2.8 gallon/min QD.=1.3 gallon/min Net filling rate =(Flow in)-(Flow out)…

Q: You want to put a 2 inch thick layer of topsoil for a new 31 ft by 24 ft garden. The dirt store…

A: Given data :  2 inch thick layer  Garden  = 31ft by 24ft 1/4 cubic yard

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A: Given Bath tub is filled at the rate of 2.5 gallons per minute water drains from the bathtub at the…

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A: Given,

Q: Georgia, my 41-kg bulldog/pug mix dog, likes to ride in a wagon. One day, she decides to jump in the…

A: The mass of the dog is m = 41 kg. The height of the hill is h = 1.2 m. Initially, the dog is at rest…

Q: 610 66 %3D

A:

Q: Your friend is running a large basketball clinic for lots of kids. He needs a space to store his…

A: let the Diameter of the basketball be D ft. since we are stacking basketballs they will act like a…

Q: Skyler worked out for 90 minutes at the fitness center. This was 6 times as long as Dustin worked…

A: Workout time of skyler = 90 minutes

Q: You are standing in a crowd that is 8

A:

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Q: It takes Sue 3 hrs to fill up her pool. It takes Jim 9 hours to fill up the same pool. How long…

A:

Q: Carlos has 4.5 pounds of flour he needs 3/4 pounds of flour to make a pizza what is the greatest…

A: Given, Quantity  of flour Carlos has= 4.5 pounds Quantity needed to make a pizza= 3/4= 0.75 pounds

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A:

Q: A flight from Seattle to New York takes 5 ¼ hours.  The pilot tells us that we are have travelled…

A:

Q: Jordan is 29 years younger than Molly. 6 years ago, Molly's age was 2 times Jordan's age. How old is…

A: We can find how old is Jordan now as below.

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A:

Q: A base in the shape of a cube measures 8 inches on each side the vase is half full with water how…

A:

Q: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and continued to…

A: Given: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and…

Q: Barts football coach tells him he'll start next year if he gains 10 pounds in 14 weeks between…

A: Given  Weight needs to be gained=10 pounds in 14 weeks. Weight trainer promised =1 kg every 3 weeks.…

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A: Given,20 cubic feet of concrete make 80 square foot patio.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.