Factor completely 12t ^8-75t^4

Answers

Answer 1

Answer: $12t^8-75t^4=3t^4\cdot4t^4-3t^4\cdot25=3t^4(4t^4-25)\n\n=3t^4[(2t^2)^2-5^2]\n\nuse\ a^2-b^2=(a-b)(a+b)\n\n=3t^4(2t^2-5)(2t^2+5)=3t^4[(t\sqrt2)^2-(\sqrt5)^2](2t^2+5)\n\n=3t^4(t\sqrt2-\sqrt5)(t\sqrt2+\sqrt5)(2t^2+5)$

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The fraction 11/3 is a(n)
mixed number
proper fraction
improper fraction

Answers

11/3 is an improper fraction because the numerator is larger than the denominator

Answer:

improper fraction

Step-by-step explanation:

Improper fractions are fractions that have a larger numerator than denominator like in this case.

Example:

$(4)/(3)$

Mixed numbers contain a whole number and a fraction.

Example:

3 $(1)/(16)$

Proper fractions are fractions that have a larger denominator than numerator.

Example:

$(5)/(7)$

Between which pair of consecutive integers does square root 21 lie? 10 and 11 5 and 6 20 and 22 4 and 5

Answers

square root of 11. 3 & 4 2. square root of 33. 5 & 6 3. square root of 8. 2 & 3 4. cube root of 220. 6 & 7 5. cube root of -80. 4 & 5 6. fourth root of 20. 2 & 3 7. square root of 300. 17 & 18 8. fifth root of -35. 2 & 3 9. square root of 150. 12 & 13 10. cube root of -312. 6 & 7

The area of a circle that's 64 pi square inches long. What's the radius ?

Answers

the area of anything cannot be any amount of square inches 'long'
long is 1 dimentional while area is 2 dimentional

anyway
area=(pi)radius^2
64pi=area
therfor
64pi=(pi)radius^2
divide both sides by pi
64=radius^2
sqrt both sides
8=radius
8 inches

A=pi*r^2 sqrt64=8 in radius

Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears. Atomic Fireballs cost $4.25 per pound and Gummi Bears were on sale for $1.25 per pound. Juan spent a total of $14.75, before taxes. Let x represent the number of pounds of Atomic Fireballs and y represent the number of pounds of Gummi Bears uan purchased. Which of the following graphically represents this situation?

Answers

Answer:

The 2nd graph correctly represents the situation.

Step-by-step explanation:

Let the number of Atomic Fireballs= x and the number of Gummi bears= y.

Now, Juan purchased total 7 pounds of candies.

So, $x+y=7$

Also, the cost of Atomic Fireballs and Gummi bears is $4.25 and $1.25 per pound respectively.

Since, Juan spent total $14.75 before taxes.

Then, $4.25x+1.25y=14.75$

That is, the system of equations is given by,

$x+y=7$

$4.25x+1.25y=14.75$

Plotting the equations, we get that,

The 2nd graph shown below correctly represents the situation.

The answer is the graph on picture #2.

The Q says for fireballs to be x and gummy bears to be y. So they correspond to their axis. Knowing this you get rid of the last 2 graphs. When you plug in these vertexes into the equations, the only right answer is the graph in picture 2.

mike drove to a frineds house at the rage of 40 mph. he returned hoke by the dsne route at 45 mph the driving time for the round trip was four hours how long did it take mike to get home