Use the like-bases property and exponents to solve the equation \left(\frac{1}{5}\right)^{n-4}=5^{8n+4}

Q: Find three consecutive even intergers such that the product of two smaller numbers is the same as…

A: Let the consecutive even integers be  x, x+2,x+4, where x  is even , then we use the given condition…

Q: The longest drive to the center of a square city from the outskirts is 10 miles. Within the last…

A: Given that, The longest drive to the center of a square city from the outskirts is 10 miles. Also,…

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A: When a positive and a negative number are added, sometimes the sum is positive, sometimes it is…

Q: Suppose one of earth's plates moved 4 cm over the course of a year. How far will it move in 500…

A: Given that: Movement of earth's plates in 1 year = 4cm To calculate: Movement in 500 years.

Q: 8 4n-3 +8>32

A:

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A: Spider is at a height of 5 feet from the floor. Spider starts to climb up the wall (1/2) foot every…

Q: Find the root of the equation xlogx-1.2=0   which lies in (2, 3) by…

A:

Q: How to solve 2x=10-6y

A: Given ,  2x = 10 - 6y  Then ,  Divide both sides by 2

Q: A rectangular garden is 25 ft wide. If its area is 2375ft“, what is the length of the garden? The…

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Q: Two integers differ by 17 and thier product is 60. What are the integers?

A: It is given that, Two integers differ by 17 and their product is 60

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A:

Q: Why does it make sense to describe an equation that has infinitely many solutions as an identity

A: An equation is said to be an identity equation if it is always true for any variables in the…

Q: Solve exactly: ex-4 = 6

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Q: Two runners begin at the same point on a 390-m circular track and run at different speeds. If they…

A: Let x represents the speed of the one runner and y represents the speed of another runner.

Q: . Solve exactly: ex-4 = 6

A: Solve exactly: ex-4 = 6

Q: The number of cells in a tumor doubles every 4.5 months. If the tumor begins with a single​ cell,…

A:

Q: Among all of the pairs of numbers whose sum is 6, find the pair with the largest product. What is…

A: Let one of the numbers from the pair be x. Then the second number will be 6-x.

Q: A ball rolling down an inclined plane travels, in successive seconds, k feet, 2.5k feet, 4k feet,…

A:

Q: Find three consecutive positive integers such that the product of the first and second is 32 more…

A: Explained below

Q: stone is dropped from the top of a building 1024 ft high. When does it hit the ground and with what…

A: Given query is to find the time taken to hit the ground.

Q: Solve using binomial theorem (6x-4)^10

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Q: Find the dimensions of the rectangle of maximum area that can be formed from a 50-m piece of wire.…

A: Given that: Length of wire=50m

Q: please help me solve it fast  please solve it in 15

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Q: Explain the difference between product to sum formulas and sum to prod-uct formulas.

A: The sum to product formula allow us to express sums of sine or cosine as products. These formula can…

Q: solve the Follo wing 2 +2 log,3 2-) logo1+ 2 log3 5 3) log,el - 2 logs 3

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: The present age of Jacob’s father is three times that of Jacob. After 5 years, sum of their ages…

A: Given The present age of Jacob’s father is three times that of Jacob. After 5 years, sum of their…

Q: A colony of 20,000 bacteria doubles in size every 55 hours. What will the population be 110 hours…

A: Solution of this question is

Q: -7+ 8 3n – 1 >-15

A: Given,            -7+83n-1>-15

Q: the sum of the ages of Juman ans Nina is 112 years ago. 6 years ago, Juwan age was 4 time Nina's…

A: Using given information we will solve the question.

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Q: why does the cube root of (-x) equal - cube root of (x)?

A: Why does -x13=-x13

Q: Rationalize the denominator and simplify:   Square root of 10 / ( [ square root of 5] - 2)

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Q: Solve for æ algebraically.

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Q: please with steps and the guess about the coefficient method

A: Find the general solution

Q: Solve: 5 – 2|3x – 5| > – 1 - -

A:

Q: A mother is now three times as old as her daughter. In 4 years, the mother will be four times as old…

A: Let Mother's age now is M years Daughter's age is D years Given mother is now three times as old as…

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Q: A plane flies 50kmnin 15 minutes. How long will it take to fly 300km

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Q: X(2) - (2-as)(2-1)2 2.

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Q: Each side of a square is increased 6 inches. When this happens, the area is multiplied by 25. How…

A: We will solve for the original side.

Q: 1s-1 and -2x < 20 8.

A:

Q: n+7 -6<-8

A: Given inequality is: n+7-6&lt;-8 To solve and graph on a number line.

Q: Give the solution for Product rule, quotient rule, general power rule 5 8-ax y = 8 + ax/

A: Here we have to use the product rule, quotient rule and general power rule.