Is log2+log18 equal to log30+log6

Answers

Answer 1

Answer: $No,\ is's\ not\ because:\n\nlog2+log18=log(2\cdot18)=log36\n\nand\n\nlog30+log6=log(30\cdot6)=log180\n\nlog36\neq log180$

Answer 2

Answer: No it's not log2+log18= 1.55, while log30+log6=2.25

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joses credit card statement says that he owes $324. he charges an additional $63, $21, and $75. how much those he owe now?

Answers

I think it would be -$483 he owes

2) What are the coordinates of the vertices of the triangle under the translation (x, y)(x+3, y+2)? Draw the translated triangle.

Answers

Although you did not include the coordinates of the original triangle, I can explain you the procedure and so can can calculate the answer:

1) Translation (x,y) → (x+3, y+2) means that:

* the x-coordinates of the original triangle will transform into x + 3 in the new triangle, and

* the y-coordinates of the original triangle will transform into y + 2.

2) So if the three vertices of the original triangle are (a,b), (c,d), (e,f), the new triangle will have vertices (a+3, b+2), (c+3, d+2), and (e+3, f+2).

That is it.

4) Regarding the drawing of the new triangle, what the translation rule means is that you shift all the points 3 units to the right and 2 units upward.

Then move each vertex 3 units to the right and 2 units upward and join the new vertices to have the new triangle.

This is a very easy way to understand the translation rule and will permit you to do the graph quickly.

Final answer:

The coordinates of the vertices of the translated triangle are found by adding 3 to the x-coordinates and 2 to the y-coordinates of the original triangle's vertices. To draw the translated triangle, plot these new coordinates and connect them. This explains the process of translating a triangle using a translation vector in a coordinate plane.

Explanation:

The question you're asking is about the translation of a triangle in the coordinate plane. The translation vector is defined as (x+3, y+2). Let's suppose we have a triangle with vertices A, B, and C with coordinates (xA,yA), (xB,yB), and (xC,yC) respectively.

To find the coordinates of the vertices of the translated triangle, we simply apply the translation vector to each vertex. This means that we add 3 to the x-coordinates and 2 to the y-coordinates of each vertex. Thus the translated vertices A', B', C' are given by:

A': (xA+3, yA+2)
B': (xB+3, yB+2)
C': (xC+3, yC+2)

To draw the translated triangle, plot the coordinates of A', B', C' on your graph, and connect them to form the triangle. This will be your translated triangle using the given translation vector.

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What are the solutions for the equation 2z^2+4z+2=0

Answers

undistribute 2
2(z^2+2z+1)=0
factor
2(z+1)(z+1)=0
se to zero
2=0 false
z+1=0
z=-1

solution is z=-1

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.

5x2 + 18x − 2

5x2 + 13x + 2

5x2 − 18x − 8

5x2 + 13x + 8

Answers

Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4

Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8

The polynomial expression that represents the area of the rectangle is: C. 5x² - 18x - 8

What is the Area of a Rectangle?

Area = (length)(width)

Given the dimensions of the rectangle as:

Length = 5x + 2
Width = x - 4

Area of the rectangle = (5x + 2)(x - 4)

5x(x - 4) + 2(x - 4)

5x² - 20x + 2x - 8

Add like terms together

5x² - 18x - 8

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What is the average per day?

Answers

To get the average in this case, divide 30 by 5:

30 hrs ÷ 5 days = 6 hrs/day

To get averages you have to divide the total number of units by the period of time/how many things there are. So in this case you divide 30 by 5 and get 6

Convert the mixed number 3¼ to a percent.a. 375%
b. 333%
c. 314%
d. 325%

Answers

3 and 1/4=3+0.25=3.25/1

percent means parts out of 100 so x%=x/100
3.25/1 times 100/100=325/100=325%

D

Hi there! We know that 1/4=0.25*100=25%. If you add the 3 in 3 1/4 it would be 3.25, 3.25*100=325. Therefore, the answer is D. 325%

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A company has two electric motors that consume varying amounts of power. The power consumed by each motor is a function of the time (t in minutes) for which it runs. The cost of power (in $) to run one motor is given by the function `C_a(t) = t^2 - 2t + 5`. The cost of running the second motor is given by `C_b(t) = 3t + 2`. Which function gives the total cost of running both motors?