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Logarithm base  8  of  512  is  3

Answer 3

Answer:

15;9;-8

Step-by-step explanation:

1. 5/3x-3=2/3x+12

x=15 once you combine like terms

2. 5x+35-3x+12=7x+2

2x+47=7x+2

5x=45

x=9

3. 12x+20-3=9x-7

12x+17=9x-7

3x=-24

x=-8

Answer:

[tex]\huge\boxed{-\frac{1}{3}}[/tex]

Step-by-step explanation:

In order to find the slope of a line, we need to find the rise over the run.

Basically - the change in y divided by the change in x.

[tex]\frac{\Delta x}{\Delta y}[/tex]

We can compare the two points and find both.

We go from (0, 2) to (3, 1).

From 0 to 3 (x) is 3 units.

From 2 to 1 (y) is -1 units.

Therefore we can divide the x by the y.

[tex]\frac{-1}{3}[/tex]

[tex]-\frac{1}{3}[/tex]

Hope this helped!

Answer:

$86.13

Step-by-step explanation:

79.75*8=638/100=6.38

79.75+6.38=86.13

Answer: $86.13

Step-by-step explanation:

79.75*8%=6.38

79.75+6.38=86.13

Answer:

30.7 cm² (nearest tenth)

Step-by-step explanation:

Area of the wooden block = area of rectangle - area of semi-circle

Area of Rectangle = length × width

Length = 9 cm

Width = 4.5 cm

Area of rectangle = 40.5 cm²

Area of semi-circle = ½(πr²)

Radius (r) = ½ of diameter = ½*5 = 2.5 cm

π = 3.14

Area of semi-circle = ½(3.14*2.5²)

Area of semi-circle = 9.8125 cm²

✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)

The area of the wooden block is [tex]30.7 cm^2[/tex].

We know that

Area of the wooden block = area of the rectangle - area of semi-circle

Here

[tex]Area\ of\ Rectangle = length \times width[/tex]

Here Length = 9 cm

And, Width = 4.5 cm

So,

Area of rectangle = [tex]40.5 cm^2[/tex]

Now  

Area of semi-circle is

[tex]= \frac{1}{2} \pi r^2[/tex]

[tex]= \frac{1}{2} \times 3.14\times 2.5^2[/tex]

= [tex]9.8125 cm^2[/tex]

Now the Area of the wooden block is

= 40.5 - 9.8125

= 30.7

Therefore we can conclude that the area of the wooden block is [tex]30.7 cm^2[/tex].

Learn more: brainly.com/question/13549064

Step-by-step explanation:

measure of the complement of??????

Answer:

the rest of the question???

Step-by-step explanation:

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

hope this helps :3

if it did pls mark brainliest

Answer: y = 90 degrees.

Step-by-step explanation: We are given that the supplementary angle of angle y is equal to 90 degrees. By definition, that means that y is also equal to 90 degrees. The solution would be:

y + 50 degrees + 40 degrees = 180 degrees

y + 90 degrees = 180 degrees

y = 180 degrees - 90 degrees

y = 90 degrees

hope this helps! :)

Answer:

-957

Step-by-step explanation:

324-234=90

12*90=1080

123-1080=-957

Answer:

think 2 could be wrong

Brainlest pls

Step-by-step explanation:

x

Answer:

6(7m+2)=42m+12

Step-by-step explanation:

Step 1: Distribute the 6 to 7m and 2. So, 6 x 7m = 42m

Step 2: Multiply the 6 x 2 which equals 12.

Step 3: 42m+12

Answer:

Step-by-step explanation:

Perimeter of garden A  is

Perimeter of garden B  is

Sum of perimeters:

The statement 2 is FALSE as number we got is different from the one in the statement

Answer:

Step-by-step explanation:

garden A

Width (W) = 2x - 3

Length (L) = 5(W)

                = 5 (2x - 3)

                = 10x - 15

Perimeter A = 2L + 2W  (perimeter of a rectangular garden)

                    = 2(10x - 15) + 2(2x - 3)

                    = 20x - 30 + 4x - 6

                    = 24x - 36

garden B

side 1 = 5x + 5

side 2 = 4x + 2

side 3 = 8x - 8

Perimeter B = sides (1 + 2 + 3)  

                    = 5x+5 + 4x+2 + 8x-8

                    = 5x + 4x + 8x + 5 + 2 - 8

                    = 17x - 1

Garden A + garden B  = statement 2

24x - 36  +  17x - 1

24x + 17x - 36 - 1

 41x - 37

therefore, the statement 2 is false. as the equation required to fence both garden do not match the perimeter given on statement 2.

Answer:

76

Step-by-step explanation:

The given data is 64, 72, 85, 80, 72, 89.

First we arrange it in ascending order.

64,72,72,80,85,89

The middle two terms are 72 and 80.

There are 6 no of observations.

The median when n is even is given by :

[tex]M=\dfrac{72+80}{2}\\\\=76[/tex]

So, the median of given data is 76.

Answer:

mass is 58kg

Step-by-step explanation:

Answer:

2 11/50

Step-by-step explanation:

Convert to a mixed number:

111/50

Hint: | Use long division to get a quotient and remainder.

Divide 111 by 50:

5 | 0 | 1 | 1 | 1

Hint: | How many times does 50 go into 111?

50 goes into 111 at most 2 times:

| | | | 2

5 | 0 | 1 | 1 | 1

| - | 1 | 0 | 0

| | | 1 | 1

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | | 2 | (quotient)

5 | 0 | 1 | 1 | 1 |  

| - | 1 | 0 | 0 |  

| | | 1 | 1 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 111/50 is 2 with remainder 11, so:

Answer: 2 11/50

Answer:

A. Isosceles

D. Scalene

E. Acute

Answer:

a. $48,407.45

b. $90,600.15

c.$86,608.14

d.$80,894.18

Answer:

k = 3 + 6x

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

27 × [tex]9^{3x}[/tex]

= 3³ × [tex](3^{2}) ^{3x}[/tex]

= 3³ × [tex]3^{6x}[/tex]

= [tex]3^{3+6x}[/tex]

= [tex]3^{k}[/tex] → with k = 3 + 6x

Answer:Newton's First Law

Step-by-step explanation:

"When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it. The seat belt then exerts a force back on the person (Newton's Third Law). This causes a controlled deceleration of the person" -google

Answer:

a b d

Step-by-step explanation:

Answer:

A:59 B:48

Step-by-step explanation:

A triangle is equal to 180 degrees. So the equation would be

73+x+(x-11)=180. To find the value of x, add all of the same values

73-11+x+x which is equal to 62+2x=180. Then subtract 62 from both sides

62-62+2x=180-62  so the equation is now 2x=118 now you divide each side by 2 to get x=59. now to get angle b you subtract 11 from 59 to get 48

6

Step-by-step explanation:

2÷⅓ so u receprocate and get:

2×3

=6

Answer:

I think OA because you would need to know how much yarn for each cap and how many caps she will make

Answer:

The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125. Unlike the square root, the cubed root is always positive

Step-by-step explanation:

Answer:

its (0, 0) because the line goes through thex and y intercept

Answer:

2, 0.15

Step-by-step explanation:

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!

hi

technique is  to decompose both part of the fraction ( in prime numbers if possible )

 8 * 5/6   =     2*4*5  / 3*2   =   20/3

9514 1404 393

Answer:

  54/(-6) = -9

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

  6·9 = 54

From your knowledge of signed arithmetic, you know that ...

  54/(-6) = -(54/6) = -(6·9)/6 = -9

The expression is not undefined. The quotient is -9.

Answer:

9

Step-by-step explanation:

area of a right angled triangle is half×base×height

Answer:

Area = 9

Step-by-step explanation:

The area of a triangle is 1/2 the base times the height:

A = 1/2bh

To solve, simply substitute the numbers:

A = 1/2(3)(6)

A = 1/2(18)

A = 9