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Paul [167]
3 years ago
13

Please help me!!!!!!!!!! Write 2 ln 8 + 3 ln y as a single natural logarithm.

Mathematics
1 answer:
const2013 [10]3 years ago
7 0
<span>2 ln 8 + 3 ln y simplifies to ln 8^2 + ln y^3, which in turn simplifies to

ln 64/y^3, or  ln {64*y^3}</span>
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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
En un día de febrero, una ciudad de Estados Unidos registró una temperatura mínima de 9° bajo cero y una temperatura máxima de 1
____ [38]

Answer:

La cantidad de grados del intervalo de temperaturas registradas en el día de febrero mencionado es de:

  • <u>5</u>

Step-by-step explanation:

En estadística, cuando se utilizan intervalos como valores para identificar datos cuantitativos, como en este caso temperaturas registradas, deben tomarse todos los valores, en este caso enteros, desde el límite inferior (temperatura mínima) hasta el límite superior (temperatura máxima), por lo cual no se puede restar el valor máximo al valor mínimo, sino que debes identificar todos los valores y después contarlos. En el caso del ejercicio dado, los grados en el intervalo mencionado son:

  1. 9°C
  2. 10°C
  3. 11°C
  4. 12°C
  5. 13°C

Como puedes ver, los grados en el intervalo de temperaturas registradas serían 5.

3 0
3 years ago
M/6-7=2/3 pls help plssssd
inna [77]

Step-by-step explanation:

M/6-7=2/3

M/6=2/3+7

M=23/3×6

M=23×2=46

6 0
3 years ago
What is the principal square root of -25?
Georgia [21]
√-25

= √(25*-1) = √25 * √-1 = 5i,  where i = √-1

The principal square root = 5i

6 0
3 years ago
An architect is designing a building that is 157 feet wide. Solve for how tall the building must be if the
lilavasa [31]

<em>254.031336 feet tall</em>

Since <u>the golden ratio is 1.61803398875</u>, we just multiply 157 by it... since 157*1.61803398875=254.031336, we can assume this is the correct answer. Simplified it would be 254.03

7 0
3 years ago
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