Find the GFC of the term of each polynomial 45b+27

Answers

Answer 1

Answer: The greatest common factor of 45 and 27 is 9. So the GCF of this polynomial is 9.

Let's factor 45b+27.

$45b+27=9\cdot 5b+9\cdot 3=9(5b+3)$

As you can see the greatest number that can divide this expression is 9.

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what is the longest flagpole (in whole feet) that could be shipped in a box that measures 2 ft by 2 ft by 12 ft?

Answers

The longest flagpole that could be shipped in a box that measures 2 ft by 2 ft by 12 ft is 2 feet long.

How to obtain the minimum value of a function?

To find the minimum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

We are given that;

The measurement of box= 2*2*12ft

Now,

To determine the longest flagpole that could be shipped in a box that measures 2 ft by 2 ft by 12 ft, we need to find the maximum length of a flagpole that can fit inside the box without exceeding any of the box's dimensions.

The longest flagpole that could fit inside the box would be equal to the shortest dimension of the box, which is 2 feet. This is because the flagpole would need to fit inside the box in a diagonal orientation in order to maximize its length.

Therefore, by the maxima and minima answer will be 2 feet long.

Learn more about maxima and minima of a function here:

brainly.com/question/13333267

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Pythagoras question. Because the question's really just asking you, what is the length of the hypotenuse of a triangle with adjacent and opposite sides of 2 and 12
so a^2+b^2=c^2
=
4 + 144=148
The square root of 148=12.165
round it down to 12 :)

Rename each decimal as a percent: 0.03
0.3
0.045 and
0.49
Would really appreciate the help!

Answers

percent means out of 100 so 1%=0.01

so we multiply each decimal with 100 and get the decimal

0.03 times 100=3%
0.3 times 100=30%
0.045 times 100=4.5%
0.49 times 100=49%

Name an event that would be measure in days

Answers

Hannika, the jewish holiday in december

An event that would be measured in days could be the lifespan of a housefly, or the moon's orbit, or a long festival.
Hope that helped! =)

Xx is 25% of 104, 7 is 10% of yy, and nn is 80% of yy. yy is what percent of (n+y−x)(n+y−x)?

Answers

x = 0.25×104 =26
y = 7 × 10 = 70
n = 70 × 0.8 = 56

(56+70-26)(56+70-26)
⇒(100)(100) = 100

$(70)/(1000)$ × 100 = 7%

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero numbers.

Answers

$((2p)/(q^(2))) ^(3) ((3p^(4))/(q^(-4)))^(-1)$ Multiply the outside exponent into each

$((2p^(3))/(q^(6)) )((3p^(-4))/(q^(4)) )$ Multiply together

$(6p^(-1))/(q^(10)) = (1)/(q^(10)6p^(1))$

When you multiply an exponent DIRECTLY into another variable(with an exponent), you multiply the exponents.

For example:

(x²)³ = $x^(6)$

$(x^(4))^(5) = x^(20)$

When you multiply a variable with an exponent into another variable with an exponent, you add the exponents.

For example:

$(x^(2) )(x^(3) )=x^(5)$

$(x^(1) )(x^(3)) = x^(4)$

First I multiplied the outside exponents into the numerator and the denominator.

When you have a negative exponent, you move it onto the other side of the fraction to make it positive.

For example:

$x^(-2) = (1)/(x^(2))$

$(x)/(y^(-1)) = x(y^1)$

$(1)/(y^(-2)) = y^2$

Sorry if this is confusing

A recipe calls for 2 2/4 cups of raisins, but Julie only has a 1/4 cup measuring cup. How many 1/4 cups does Julie need to measure out 2 2/4 cups of raisins?

Answers

to get to cups of raisins you need 8 1/4 cups, and then to get 2/4 you need 2.

So basically you need 10 1/4 cups

10 cups because 1 is split into 4 parts and 4+4=8and 2/4is two times of 1/4 and 2+8=10

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the first four terms of an arithmetic sequence are 2,a-b, 2a+b+7 and a - 3b, where a and b are constants. Find a and b

rosa wants to use $20 to buy games. The inequality 2.50k+5.50≤20.00 represent the number of games, k, she can buy with her money. What is the greatest number of games Rosa can buy?

HELP ASAP PLEASE!!! show an example converting between measurements and explain the steps.

How to undo the operation and explain why it works a. adding 28 b. dividing by 17