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asambeis [7]
3 years ago
6

Expand and simplify (3m-2n)²​

Mathematics
2 answers:
oee [108]3 years ago
7 0

Answer:

9m^2 - 12mn + 4n^2

Step-by-step explanation:

Olegator [25]3 years ago
7 0

Answer:

9m²-12mn+ 4n²

Step-by-step explanation:

First you expand it so

(3m-2n)(3m-2n)

9m²-6mn-6mn+4n²

9m²-12mn+ 4n²

And this is the simpliest form , hope this helped:))

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If we know that 5 cups of flour is used to make 20 biscuits, figure out how many biscuits are made with 15 cups of flour
aleksley [76]

Answer:

100

Step-by-step explanation:

5×4=20

5×15=100

therefore 15 cups of flour can make 100 biscuits

6 0
3 years ago
If the angle of elevation to a pole is 67 degrees and the wire is attached to the ground at a point 137 feet from the base of th
Dmitrij [34]
Tan67=h/137

h=137tan67

h≈322.751 ft

h≈322.75 ft  (to nearest hundredth of a foot)
6 0
3 years ago
Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,
Dmitry_Shevchenko [17]

Answer:

\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250

Step-by-step explanation:

Given:

T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}

now we need to solve this integral!

T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}

T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0

T = \left|-1250e^{-0.04t}\right|^{\infty}_0

T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})

when any number has a power of negative infinity it is 0. because: a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0, like something being divided by a very large number!

T = (-1250(0))-(-1250e^0)

T = 1250

this is the total amount of waste

6 0
3 years ago
A horizontal stretch by a factor of 2 would have what kind of effect on the graph?
Kitty [74]
To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). Here are the graphs of y = f (x), y = 2f (x), and y = x.
7 0
3 years ago
What is the range of the following set?<br> 27, 18, 29, 25, 23, 23, 21, 32, 20
goldenfox [79]

Answer:

The range is 14.

Step-by-step explanation:

To find the range in a data set, you have to subtract the lowest number from the highest number in the set. The highest number is this set was 32. The lowest was 18. 32-18=14. Thus, the answer is 14.

4 0
3 years ago
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