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Gwar [14]
2 years ago
10

Expand (2x+ 3)² Please guys​

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
3 0

Answer:

4x^2 + 12x + 9.

Step-by-step explanation:

(2x+3)^2

= (2x+3)(2x+3)

= 2x(2x+3)+3(2x+3)

= 4x^2 + 6x + 6x + 9

= 4x^2 + 12x + 9.

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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.
kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence lnv = -2t+ln 7\\v=7e^{-2t}

since velocity is rate of change of distance s we have

v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[

substitute t=0 and s=0

C=7/2

So solution for distance is

s(t) =\frac{-7}{2} (e^{-2t}-1)

4 0
3 years ago
Divide.<br> Write your answer in simplest form.<br> -6/7 divided by (-5/4) =?
yulyashka [42]

Answer:

\sf \dfrac{24}{35}

Step-by-step explanation:

Use KCF method for fraction division.

  • Keep the first fraction.
  • Change the division operation to multiplication.
  • Flip the second fraction.

\sf \dfrac{-6}{7} \div \dfrac{-5}{4}=\dfrac{-6}{7}*\dfrac{-4}{5}

               \sf =\dfrac{(-6)*(-4)}{7*5}\\\\=\dfrac{24}{35}

8 0
1 year ago
Read 2 more answers
25 pints of apple juice are poured into 3/4 pint bottles, how many bottles are filled
Westkost [7]

Answer:

33 1/3

Step-by-step explanation:

25/1 * 4/3 =

100/3 = 33.3... or 33 1/3

6 0
2 years ago
Variables are defined by what?
skad [1K]

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. ... The letters x, y, and z are common generic symbols used for variables. Sometimes, we will choose a letter that reminds us of the quantity it represents, such as t for time, v for voltage, or b for bacteria.

Step-by-step explanation:

thats true❤️

8 0
3 years ago
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Pls help me with #1 and #2 ASAP
andrey2020 [161]
Number 1 is 3.14 cm and 2 is 6.28 cm
6 0
2 years ago
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