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dedylja [7]
3 years ago
8

Find the product of (x - 3)2.

Mathematics
2 answers:
Elina [12.6K]3 years ago
5 0

Answer:

Step-by-step explanation:

(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9

Alenkinab [10]3 years ago
3 0

Answer:

2x-6

Step-by-step explanation:

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The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gal
Leokris [45]

9514 1404 393

Answer:

  • driver's tank: 30,427 lb
  • farmer's tank: 12,811 lb

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr^2·h . . . radius r, height h

The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...

  V = π(4 ft)^2·(19 ft) = 304π ft^3

Each cubic foot of gasoline has a mass of ...

  (1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3

Then the total mass in the driver's full tank is ...

  (304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb

__

The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.

The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.

The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.

6 0
3 years ago
Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school.
Svet_ta [14]

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)

5 0
3 years ago
Simplify the following expression.
Rzqust [24]

Step-by-step explanation:      

<u>Step 1: Add the numbers: 9.5 +6.2 = 15.7</u>

=8.6\left(15.7-3.5^2\right)

3.5^2=12.25

=8.6\left(15.7-12.25\right)

<u>Step 2: Subtract the numbers: 15.7 - 12.25 = 3.45</u>

= 3.45X 8.6

<u>Step 3: Multiply the numbers: 8.6 × 3.45 = 29.67</u>

<u />=29.67<u />

<u />

- To solve this equation, the first step is to add the numbers 9.5 + 6.2 into the equation and it will lead to 15.7 as the number for step one.

- To solve this equation, the second step is to subtract the numbers 15.7 - 12.25 into the equation and it will lead to 3.45 as the answer.

- To solve this equation, the third step is to multiply the numbers 8.6 x 3.45 into the equation and it will lead 29.67 as the final answer for the whole equation.

Answer:      

=29.67

 

Hope this helps.

3 0
2 years ago
We’re getting married bro
Montano1993 [528]

Answer:

It's not that hard so lets get a divorce bro

Step-by-step explanation:

7 0
2 years ago
Find all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π.
jarptica [38.1K]
Hello : 
<span> sin 2x = sin x and 0 ≤ x ≤ 2π.
all solutions : 
2x= x +2k</span>π    or x= π -x +2kπ ..... k in : Z
x = 2kπ  or : x = π/2 + kπ 
but :
 <span>0 ≤ x ≤ 2π
</span><span>all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π are : 
</span>k = 0 : x=0    , x= π/2
k=1 : x=2 π    , x=3π/2
5 0
3 years ago
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