Condense to a single logarithm : log 12 18+3 log 12 2

Answer:I think 7

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

The probability would be 28/96, but we can simplify this fraction:

Divide 2 on both sides:

14/48

Divide 2 again:

7/24

So 7/24 is your answer! :) I hope I helped!

[tex]a = 640s[/tex]

[tex]a = 640(7.5)[/tex]

[tex]a = 4800 \: [/tex]

She owns 4800 acres.

Answer:

4,800 acres

Step-by-step explanation:

Step-by-step explanation:

hope this helps. I worked out then posted.

Answer:

B, 8+12

Step-by-step explanation:

2 + 3 is 5, 4 × 5 = 20

Therefore the only option which equals 20 is B.

Step-by-step explanation:

step 1. we will denote the average rate of change as r.

step 2. r = (f(5) - f(3))/(5 - 3)

step 3. r = (375 - 81)/2

step 4. r = 294/2

step 5. r = 147.

step 6. note: this is just like finding m. m = (y2 - y1)/(x2 - x1)

Answer:

5 - numerator

6 - denominator

Answer:

1/7

Step-by-step explanation:

Please write these fractions as 5/7 and 1/2.  5 7 and 1 2 are incomplete and confusing.

On Saturday the distance traveled was 5/7 of the total distance.

2/7 of that total was left for Sunday.  Half of 2/7 is 1/7.

1/7 of the total distance was traveled on Sunday.

Answer:

-11x + 2y

Step-by-step explanation:

Answer:

If AB is 16, then AD is 8.

If AB = 12 and CB = 10, then the height of the triangle is 8.

Step-by-step explanation:

AD = [tex]\frac{AB}{2}[/tex], so AD is equal to 8.

Use the Pythagorean Theorem, [tex]\sqrt{10^{2} - 6^{2}}[/tex] equals 8, so the height of the triangle is equal to 8.

Answer:

Step-by-step explanation:

w=204.8

Answer:

204.8

Step-by-step explanation:

8x25.6=204.8

DOuble Check:

204.8 divided by 25.6=8

Answer:

2h + 15

Step-by-step explanation:

-4h + 22 + 6h -7

2h + 22 - 7

2h + 15

Answer:

V≈ 4.19in³

Step-by-step explanation:

V=4/3 π r³= 4/3 ·π· 1³ ≈4.18879in³

Answer:

About 1,130.4 Cubic Feet

(My previous answer was a mistake. It has now been corrected)

Step-by-step explanation:

The Volume of a cylinder = Height * Pi * Radius^2

The radius is half the diameter, so 12 ÷ 2 = 6

Pi rounded to the hundredth place is 3.14.

Volume = 10 * 3.14 * 6^2 = 1,130.4

Therefore the Volume is about 1,130.4 cubic feet.

Answer:

Exact Volume = 360pi  cubic feet

Approximate Volume = 1130.4  cubic feet

The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.

===========================================================

Explanation:

The volume of a cylinder is found by the formula

V = pi*r^2*h

where,

So,

V = pi*r^2*h

V = pi*6^2*10

V = pi*36*10

V = pi*360

V = 360pi  ........... exact volume in terms of pi

V = 360*3.14

V = 1130.4 ......... approximate volume if you use pi = 3.14

The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).

Answer:

30

Step-by-step explanation:

\text{Legs: 18, 24}\hspace{20px}\text{Hypotenuse: ?}

Legs: 18, 24Hypotenuse: ?

a^{2}+b^{2}=

a

2

+b

2

=

\,\,c^{2}

c

2

The Pythagorean Theorem

18^{2}+24^{2}=

18

2

+24

2

=

\,\,c^{2}

c

2

Plug in. c is the hypotenuse.

324+576=

324+576=

\,\,c^{2}

c

2

Square the numbers.

900=

900=

\,\,c^{2}

c

2

Add.

\sqrt{900}=

900

​

=

\,\,\sqrt{c^{2}}

c

2

​

Square root both sides.

30=

30=

\,\,c

c

The hypotenuse.

Answer:

C. 5

Step-by-step explanation:

plato

Answer:

C. 5

Hope this helps!

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

6G = -72

G = -72 / 6

G = -12

Answer:

20x+5=5x^2

Step-by-step explanation:

For this type of albreic question you want to simplify

4x^2+14x+6=9x^2-6x+1

first you take the common integers(That might not be the right word)

4x^2+14x+6=9x^2-6x+1

       +6x  -1  -4x^2

20x+5=5x^2

You cannot simplify any further

Answer:

x + 5 = ,3

Step-by-step explanation:

x+5-5= +3-5

x= -2

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

Answer:

50m

Step-by-step explanation:

5500cm=550m

Area=length*width

550=length*11

length=550/11=50

9514 1404 393

Answer:

  -8, +9

Step-by-step explanation:

You need factors of (6)(-12) = -72 that have a sum of +1.

From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.

  6x^2 +x -12

  = 6x^2 +9x -8x -12

  = 3x(2x +3) -4(2x +3)

  = (3x -4)(2x +3)

Answer:

x = 9

Step-by-step explanation:

3 - √x = 0

Subtract 3 from both sides of the equation

3 - 3 - √x = 0 - 3

-√x = -3

Divide both sides by -1

-√x / -1 = -3 / -1

√x = 3

Take the square of both sides

(√x) ² = 3²

X = 9

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

[tex]m\angle SPQ+m\angle QRS=180^\circ[/tex]

[tex]81^\circ+m\angle QRS=180^\circ[/tex]

[tex]m\angle QRS=180^\circ-81^\circ[/tex]

[tex]m\angle QRS=99^\circ[/tex]

Now, SRT  is a straight line.

[tex]m\angle QRT+m\angle QRS=180^\circ[/tex]             (Linear pair)

[tex]m\angle QRT+99^\circ=180^\circ[/tex]

[tex]m\angle QRT=180^\circ-99^\circ[/tex]

[tex]m\angle QRT=81^\circ[/tex]               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

[tex]m\angle PQR=m\angle QRT+m\angle QTR[/tex]

[tex]x=81^\circ+22^\circ[/tex]

[tex]x=103^\circ[/tex]

Therefore, the value of x is 103 degrees.

Answer:

13.....square

14....parallelogram

15....rhombus

16....trapezium

17...kite

18....rectangle

Answer:

#13 is a square, #14 is a rectangle, #15 is a rhombus, #16 is a trapezoid, #17 is a qaudrilateral, and #18 is a rectangle also.

Hope this helps :)

Answer:

[tex]14[/tex] units

Step-by-step explanation:

Since both points have the same y-coordinate, we can calculate the distance between them by taking the absolute difference of their x-coordinates. Therefore, the distance between them is [tex]|-6-8|=|-14|=14[/tex] units. Hope this helps!