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enot [183]
3 years ago
14

Adam and Nick are having an argument. Adam says if you have forty- five pencils to put into five boxes, you can use 45 ÷ 5 to fi

nd how many pencils to put into each box. Nick says if you have forty - five pencils and want to put nine into each box, you can use 45 ÷ 9 to find out how many boxes you need. Who is correct, Adam or Nick ?
Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0
Both are correct, because when they divide their pencils that way, both of them will have equal amount of boxes and equal amount of pencils in each box.
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Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

4 0
3 years ago
plz help whats the answer to this question !!! calculate the mass of a gold bar that is 18.00cm long, 9.21cm wide, and 4.45cm hi
erik [133]

We have to find the mass of the gold bar.

We have gold bar in the shape of a rectangular prism.

The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.

First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:

Volume of the gold bar = length \times width\times height

Plugging the values in the equation we get,

Volume of the gold bar =18.00 \times 9.21 \times 4.45= 737.721cm^3

Now that we have the volume we can find the mass by using the formula,

Mass= density \times volume

The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:

Mass = 19.32\times 737.721=14252.769 grams

So, the mass of the gold bar is 14252.769 grams

7 0
3 years ago
What is the simplified form of the following expression? <br><br> ^3sqrt(4x/5)
Vladimir [108]

Answer:

= (∛(100x))/5

Step-by-step explanation:

Given the expression; ∛(4x/5)

To simplify this we need to make denominator a perfect cube.

So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.

∛(4x/5) = ∛((4x/5)×(25/25))

            = ∛(100x/125)

            = ∛(100x/5³)

            <u>= (∛100x)/5</u>

7 0
3 years ago
What is the median of these numbers, 78,57,45,70,72? *
lana66690 [7]

Answer:

Step-by-step explanation:

arranging in ascending order

45,57,70,72,78

number of terms=5

median=(5+1)/2=3rd

or median =70

3 0
3 years ago
Read 2 more answers
I need help please can’t find it
nordsb [41]

Answer:

Step-by-step explanation:

log(7)6+log(7)2^3

log(7)6+log(7)8

log(7)(8*6)

log(7)48 = > D is the correct answer.

8 0
2 years ago
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