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olga nikolaevna [1]
2 years ago
5

What is the value of the expression when n=3 -2(5+n-8-3n)

Mathematics
2 answers:
Greeley [361]2 years ago
7 0
-2n(5 + n - 8 - 3n)
-10n - 2n² + 16n + 6n²
4n² + 6n
34kurt2 years ago
7 0
Let's simplify the expression
-2(5+n-8-3n)=-2(-3-2n)=(-2)(-3)+(-2)(-2n)=6+4n
Substitute the value of n to the expression:
6+4(3)=6+12=18
Your answer is 18.


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This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
2 years ago
Evaluate The Exsperession. Show your work<br><br><br>6.7-3^2.9+4^3<br>or
Rom4ik [11]
  • <em>Answer:</em>

<em>25</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>6×7 - 3²×9 + 4³ =</em>

<em>   1. raise the numbers to power</em>

<em>= 6×7 - 9×9 + 64</em>

<em>   2. we perform the multiplications</em>

<em>= 42 - 81 + 64</em>

<em>   3.  we perform addition and subtraction</em>

<em>= (42 + 64) - 81</em>

<em>= 106 - 81</em>

<em>= 25</em>

<em>Good luck !</em>

7 0
3 years ago
Read 2 more answers
The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D
Ipatiy [6.2K]
Part A: -16 divided by 1/2 =D
5 0
3 years ago
Read 2 more answers
The inverse for f(x)=-.75x
irina [24]

It would be -\frac{4x}{3}.

8 0
3 years ago
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
3 years ago
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