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Nikitich [7]
3 years ago
14

What is the value of

Mathematics
1 answer:
vodomira [7]3 years ago
8 0
For the order of operation use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction

For memorizing the order you could say

Please
Excuse
My
Dear
Aunt
Sally

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A spherical balloon is being deflated at a rate of 5 cubic centimeters per second. At what rate is the radius of the balloon cha
Dvinal [7]

Answer:

0.0048cm/s

Step-by-step explanation:

Volume of the spherical balloon is expressed as;

V = 4/3 \pi r^3\\

dV/dt = dV/dr * dr/dt

Given

dV/dt = 5cm³/s

dV/dr = 4πr²

Since V = 972picm³

972π = 4/3πr³

972 = 4/3r³

4r³ = 972 * 3

r³ = (972 *3)/4

r³ = 729

r = ∛729

r = 9cm

dV/dr = 4π(9)²

dV/dr = 324π

dV/dt = dV/dr * dr/dt

5 = 324πdr/dt

dr/dt = 5/324π

dr/dt = 5/324(3.14)

dr/dt = 5/1017.36

dr/dt = 0.0048cm/s

5 0
2 years ago
Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered
Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

                                                               = 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

                                                            = 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

6 0
3 years ago
Please can someone help with this question. I don't understand
Umnica [9.8K]

Answer:

See below,please.

Step-by-step explanation:

Volume of water = meter reading (11) - meter reading (8)

=

= 4598 - 4559 = 39 {m}^{3}

7 0
2 years ago
6th grade math help me please !
stira [4]

Answer:

Step-by-step explanation:

ok put them in the order i say them

true

true

false

true

false

8 0
2 years ago
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Length x width of each wall, then add
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