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2 years ago

Evaluate: √169 2 − √125

Mathematics

1 answer:

lys-0071 [83]2 years ago

7 0

Answer:

Pull terms out from under the radical, assuming positive real numbers.

Exact Form:

26-5√5

Decimal Form:

14.81966011...

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Consider the system of linear equations.

Nadusha1986 [10]

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are

$2y=x +10$

slope = 0.5

y intercept(put x =0) =5

$3y =3x +15$

slope = 1

y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of point of intersection of line on graph will come.

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3 years ago

Solve and type in a different form by using the given theorems of logarithms

scoray [572]

$\log\left(\frac{10}{y}\right) = \log(10) - \log(y)$

The general rule is

$\log\left(\frac{A}{B}\right) = \log(A) - \log(B)$

Other log rules are

$\log(AB) = \log(A) + \log(B)$

$B\log(A) = \log(A^B)$

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3 years ago

Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...

timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

, $a_7=\frac{1}{1296}$ .............Answer

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3 years ago

ME AYUDAN?? ¨Carlos compró un automóvil nuevo por un valor de $39000. Cada año que pasa desde la compra el auto disminuye su val

MrRa [10]

Multiplica 30 por 1500

Luego resta el resultado de la multiplicación por 39000 y te da el resultado de nada

3 0

3 years ago

A culture started with 1,000 bacteria. After 4 hours, it grew to 1,100 bacteria. Predict how many bacteria will be present after

max2010maxim [7]

Answer:

1,300

Step-by-step explanation:

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2 years ago