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3 years ago

Express 2log 4 + 3log 2 as a single logarithm

Mathematics

1 answer:

jeka943 years ago

3 0

Answer:

Step-by-step explanation:

WHEN ADDING TWO LOGS TO COMPRESS THEM YOU MULTIPLY THE TERMS

LOG(4^2)(2^3)

LOG(16)(8)

LOG(128)

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The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a

Sergio [31]

Answer:

365 and 1/2 blocks will be used

The scale fact is 0.25

Step-by-step explanation:

So . .

We create a ratio 1:2

This represents 1 block is equivalent to 2 feet

Simply 1450 ÷ 2 = 725

So . . There are 725 feet and because One block is equal to 2 feet you divide 725 ÷ 2 = 362.5 blocks will be used

To find the scale factor simply divide the deminsions of the new shape by old

362.5 ÷ 1450 = .25

5 0

2 years ago

A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten stu

lawyer [7]

The average score is 90.6

5 0

3 years ago

Read 2 more answers

Plz help! anybody. i'll mark brainliest 20 points!!!!

lisabon 2012 [21]

(1) Snow fall in last week = $3 \frac{1}{2}$ inches

Snow fall in today= $5 \frac{3}{4}$ inches

Let us first change mixed fraction to improper fraction.

$\begin{aligned}&3 \frac{1}{2}=\frac{7}{2}\\&5 \frac{3}{4}=\frac{23}{4}\end{aligned}$

Now, make the denominators same.

$3 \frac{1}{2}=\frac{7}{2}=\frac{7 \times 2}{2 \times 2}=\frac{14}{4}$ , $5 \frac{3}{4}=\frac{23}{4}$

Now, find the difference between 14/4 and 23/4.

$\frac{23}{4}-\frac{14}{4}=\frac{9}{4}=2 \frac{1}{4}$

So, compared to last week $2 \frac{1}{4}$ more inches of snow fell today.

(2) Given three times a number, minus nine, equals six times six, divided by four.

Let a number be X.

3X – 9 = 6 × 6/4

(3) To solve the equation:

3X – 9 = 6 × 6/4

3X – 9 = 36/4

3X – 9 = 9

3X = 18

X = 6

5 0

3 years ago

Indicate the equation of the given line in standard form. Show all your work for full credit. the line containing the median of

alukav5142 [94]

Answer:

* The equation of the median of the trapezoid is 10x + 6y = 39

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line whose end points are (x1 , y1) , (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The mid point of the line whose end point are (x1 , y1) , (x2 , y2) is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

- The standard form of the linear equation is Ax + BC = C, where

A , B , C are integers and A , B ≠ 0

- The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

- It has two properties:

# It is parallel to both bases

# Its length equals half the sum of the base lengths

* Lets solve the problem

- The trapezoid has vertices R (-1 , 5) , S (! , 8) , T (7 , -2) , U (2 , 0)

- Lets find the slope of the 4 sides two find which of them are the

parallel bases and which of them are the non-parallel bases

# The side RS

∵ $m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}$

# The side ST

∵ $m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}$

# The side TU

∵ $m_{TU}=\frac{0-(-2)}{2-7}=\frac{2}{-5}=\frac{-2}{5}$

# The side UR

∵ $m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}$

∵ The slope of ST = the slop UR

∴ ST// UR

∴ The parallel bases are ST and UR

∴ The nonparallel sides are RS and TU

- Lets find the midpoint of RS and TU to find the equation of the

median of the trapezoid

∵ The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

∵ The midpoint of RS = $(\frac{-1+1}{2},\frac{5+8}{2})=(0,\frac{13}{2})$

∵ The median is parallel to both bases

∴ The slope of the median equal the slopes of the parallel bases = -5/3

∵ The form of the equation of a line is y = mx + c

∴ The equation of the median is y = -5/3 x + c

- To find c substitute x , y in the equation by the coordinates of the

midpoint of RS

∵ The mid point of Rs is (0 , 13/2)

∴ 13/2 = -5/3 (0) + c

∴ 13/2 = c

∴ The equation of the median is y = -5/3 x + 13/2

- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

7 0

3 years ago

She puts the gifts into a box. She puts a label on one side of the box.How many faces do not have labels?faces.

Kisachek [45]

A closed box has 6 faces.

There is 1 label on 1 face.

Subtract 1 from 6

6 - 1 = 5

5 faces is your answer

Hope this helps

3 0

3 years ago