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Goryan [66]
3 years ago
15

Rewrite the following in the form log (c). 4 log(5)

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

Step-by-step explanation:4log(5) = log(5^4) = log(625).

This problem involves using one of the properties of logs, where a coefficient (in this case the "4") for a logarithm equals the "inside of a logarithm" raised to power of whatever number the coefficient is.

The property in mathematical terms is:    Alog(B) = log(B^A).

So, 4log(5)= log(5^4) = log(625)

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(16+3)-10÷5×3^2? with explanation step by step
NemiM [27]
(16+3)-10\div5\times3^2\text{ = 1}

Here, we want to simplify the given expression

We shall use the order of simplification for this

The order is PEDMAS

We shall start with the terms in parentheses before we move to the exponents

We have;

\begin{gathered} (16+3)-10\div5\times3^2 \\ =\text{ 19-10}\div5\times3^2 \end{gathered}

Next is the exponent

=\text{ 19-10}\div5\times9

The next thing to do is to divide

=\text{ 19-}2\times9

The next thing to do is to multiply

=\text{ 19-18}

We then proceed to subtract;

=\text{ 19-18 = 1}

7 0
1 year ago
Please help I will reward brainly
Annette [7]
X < -6 is the first graph
x < 6 is the second graph
x ≥ 6 is the fourth graph
x ≥ -6 is the third graph
x ≤ 6 is the last graph

Hope it helps :)
7 0
4 years ago
E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))
olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}

Then we have

\rm \triangledown T =  \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction \triangledownT. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0
2 years ago
Solve 4x- c= k for x.<br> A. x = 4(k - c)<br> O B. x = 4(k+ c)<br> O C. x-***<br> O D. x-**
ElenaW [278]

Answer:

x = 1/4c + 1/4k **i may be wrong**

7 0
3 years ago
Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12
svetlana [45]

Answer:

Value of equation = 26.25

Step-by-step explanation:

Given:

Equation given

-4a² + 3ab - (2a + 3b)

Given value of a = 1/4

Given value of b = -12

Find:

Value of equation

Computation:

-4a² + 3ab - (2a + 3b)

By putting value of a and b

-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]

-4(1/16) - (36/4) - [2/4 - 36]

-4/16 - 36/4 - [-142/4]

- 0.25 - 9 + 142/4

-0.25 - 9 + 35.5

Value of equation = 26.25

8 0
3 years ago
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