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notsponge [240]
4 years ago
5

Explain why a number that is divided by a multiple of 3 is also divisible by 3

Mathematics
1 answer:
Sonja [21]4 years ago
8 0

It is a reciprocal. Multiplying is the opposite of Dividing, so if I multiply 3 times 4 I get 12. If i divide 12 by 3 I get 4.

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Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4
Alona [7]

Answer:

\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}

Step-by-step explanation:

\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}

6 0
3 years ago
Which polynomial is a product of (3x+2) and (x-7)
pogonyaev

(3x+2)  (x-7)

FOIL

first 3x*x  = 3x^2

outer  3x*-7 = -21x

inner = 2*x = 2x

last  2*-7 = -14

add them together  = 3x^2 -21x+2x -14

combine like terms  3x^2 -19x -14

5 0
3 years ago
We have a study involving 5 different groups that each contain 9 participants (45 total). What two degrees of freedom would we r
vivado [14]

Answer:

Degree of freedoms F(4,40)

Step-by-step explanation:

Given:

There is a study which is involving 5 different groups that each contains 9 participants (totally 45)

The objective is to calculate the degree of freedoms

Formula used:

Numerator degree of freedom = k-1

denominator degree of freedom=N-K

Solution:

Numerator degree of freedom = k-1

denominator degree of freedom=N-K

Where,

K= number of groups = 5

N= total number of observations

which is given as follows,

N=45

Then,

Numerator degree of freedom = k-1

=5-1

=4

Denominator degree of freedom = N-K

=45-5

=40

Therefore,

Degree of freedoms, F(4,40)

7 0
3 years ago
Graph the line y=-5/3x-1
Pepsi [2]

Answer:

Put a dot on -1. Go down 5 and then 3 to the right. You will have two points which is enough to make a line. Grab a ruler and connect both of them. You have the line y=-5/3x-1 graphed


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
The area of a square garden is 200 m^2. How long is the diaginal
JulijaS [17]

Answer:

400

Step-by-step explanation:

6 0
3 years ago
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