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Tanya [424]
3 years ago
10

The mass of 5m^3 of copper is 44800kg. Work out the density of copper.

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
Okay so

Density= mass/volume

44800 kg/5m^3 = 8960kg/m^3
which units are preferred?

1000g/kg
1000000 cm ^3/ m^3
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NJ, TN and OH have 40 reps . NJ has 13 and OH 2 times as many as TN. write expression showing how many OH has
mixas84 [53]
NJ + TN + 2TN = 40
13 + TN + 2TN = 40
3TN = 27
TN = 9
OH = 18
8 0
3 years ago
Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
Ratling [72]
{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

3 0
3 years ago
Which sequence follows the rule an =an–1 + 7?
Akimi4 [234]

Answer:

A

Step-by-step explanation:

using the rule : a_{n} = a_{n-1} + 7

sequence A with a₁ = 11

a₂ = a₁ + 7 = 11 + 7 = 18

a₃ = a₂ + 7 = 18 + 7 = 25

a₄ = a₃ + 7 = 25 + 7 = 32

sequence A is generated using the rule

sequence B with a₁ = 17

a₂ = a₁ + 7 = 17 + 7 = 24

a₃ = a₂ + 7 = 24 + 7 = 31

a₄ = a₃ + 7 = 31 + 7 = 38

sequence B is not generated using the rule

sequence C with a₁ = - 15

a₂ = - 15 + 7 = - 8

a₃ = a₂ + 7 = - 8 + 7 = - 1

a₄ = a₃ + 7 = - 1 + 7 = 6

sequence C is not generated using the rule

sequence D with a₁ = - 9

a₂ = a₁ + 7 = - 9 + 7 = - 2

a₃ = a₂ + 7 = - 2 + 7 = 5

a₄ = a₃ + 7 = 5 + 7 = 12

sequence D is not generated using the rule



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Suppose you deposited ​$100 in a savings account 3 years ago. The simple interest rate is 3.2 %. The interest that you earned in
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It's not compounded interest, you just get $3.20 every year.
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7 0
3 years ago
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