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Viefleur [7K]
2 years ago
14

Gold has a density of 19.3 ​ g/cm3 ​, it is often made into a bar called a gold ingot. A certain gold ingot has a volume 51.8 cm

³.
What is the mass of the gold ingot?
Mathematics
2 answers:
kkurt [141]2 years ago
8 0
The gold ingot would be 999.74 grams. if one centimeter cubed has a mass of 19.3, then 51.8 centimeters cubed would have a mass of 999.74 grams.
Inessa05 [86]2 years ago
6 0

Answer: 999.74 g

Step-by-step explanation:

Given: Density of gold = 19.3\ g/cm^3

The volume of a certain gold ingot =51.8\ cm^3

We know that the formula of density is :

\text{Density}=\frac{\text{Mass}}{\text{Volume}}\\\\\Rightarrow19.3=\frac{\text{Mass}}{51.8}\\\\\Rightarrow\text{Mass}=51.8\times19.3=999.74\ g

Hence, the mass of  the gold ingot = 999.74 g

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Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0? A. Three real roots, each with a different
77julia77 [94]

Answer:

The correct option is C.

Step-by-step explanation:

The given cubic equation is

x^3-5x^2+3x+9=0

According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.

At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.

Use synthetic division to find the remaining polynomial.

(x+1)(x^2-6x+9)=0

(x+1)(x^2-2(3)x+3^2)=0

Using (a-b)^2=a^2-2ab+b^2

(x+1)(x-3)^2)=0

USe zero product property and equate each factor equal to 0.

x=-1,x=3,x=3

Therefore the equation have three real roots out of which the value of two roots are same.

Option C is correct.

7 0
3 years ago
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Lana71 [14]
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4 0
3 years ago
Solve each system of equations using the substitution method
boyakko [2]

Step-by-step explanation:

y=-3+5x

substitute y into equation 2

3x-8y=24

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2 years ago
Select the antonym for the given word undaunted?
Mkey [24]
The Answer Is D) Afraid







7 0
3 years ago
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A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
Natasha_Volkova [10]

Hey!

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Surface Area Formula: 2LW * 2LH * 2WH

------------------------------------------------

2LW:

5 x 1 = 5

5 x 2 = 10

------------------------------------------------

2LH:

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2WH:

5 x 4 = 20

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Surface Area:

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Answer:

D) 58 cm2

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Hope This Helped! Good Luck!

5 0
2 years ago
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