Which expression is equivalent to log 20 + 2 log x - log y ? a) log(20x^2y) b) log(10x/y) c) log(20/x^2 y) d) log(20x^2 /y)​

Answer:

3x^3 + 6x^2

Step-by-step explanation:

2x^2 + 3x^3 + 4x^2

Combine like terms

3x^3  + (2x^2+4x^2)

3x^3 + 6x^2

Answer:

b. 6 x² + 4 x³

Step-by-step explanation:

2x ² + 3x³ + 4x²

Combine like terms, we get

2 x² + 4 x² + 3 x³

6 x² + 3 x³

option a and b both are similar.

Answer:

Triangle c

Step-by-step explanation:

First is Isosceles as the two sides are the same. The second is also isosceles and the fourth does not make a right angle.

Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,y)

(-2,-3)=(2,-3)

Answer:

V=168ft³

Step-by-step explanation:

V=

w-6

h-4

l-7  

V = 168ft³

Answer:

10

Step-by-step explanation:

Intersecting Chords Formula:(segment piece) x (segment piece) =

       (segment piece) x (segment piece)

10x = 2*50

10x = 100

Divide by 10

10x/10 = 100/10

x = 10

Answer:

(h/g)(x) = x² - 2x

Step-by-step explanation:

h(x) = x³ - 4x

g(x) = x + 2

(h/g)(x) = h(x)/g(x) = (x³ - 4x) / (x + 2) = x² - 2x

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

Answer:

[tex]h=8m[/tex]

Step-by-step explanation:

From the question we are told that:

Slant height [tex]S=16meters[/tex]

Angle  [tex]\theta =30[/tex]

Generally the equation for Height h is mathematically given by

 [tex]h=Ssin\theta[/tex]

 [tex]h=16*sin30[/tex]

 [tex]h=8m[/tex]

Answer:

x = 25

Step-by-step explanation:

Angle 1 = 2x + 10

Angle 2 = 4x + 20

These two angles are going to add up to 180 because 180 is a straight line so we get the equation:

2x + 10 + 4x + 20 = 180

6x + 10 + 20 = 180

6x + 30 = 180

6x = 150

x = 25

Answer:(-1,3)B

Step-by-step explanation:

just graph on desmos

Answer:

I did the same question in mathswatch, the exact answer is 201.06193

Step-by-step explanation:

16/2 = 8

8π^2 = 201.06193

Round it to whatever the question says to, have a great day <3

Answer:

A = 512π or 1608.49543864

Step-by-step explanation:

A = π(8)^3

16/2=8

Answer:

There is a 1 in 5 chance. (1/5)

Answer:

10

966

X

24°

O x = 100

O x = 96

X = 120

O x = 24

Answer:

The pumpkin gained 33 pounds each week.

Step-by-step explanation:

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

Step-by-step explanation:

Answer:

x = 0.75

Step-by-step explanation:

Answer:

10/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{9}{20} = \frac{9 \times 5}{20 \times 5} = \frac{45}{100}[/tex]

[tex]\frac{13}{25} = \frac{13 \times 4}{25 \times 4} = \frac{52}{100}[/tex]

Fractions whose values are between 9/20 and 13/25 :

[tex]\frac{46}{100}, \ \frac{47}{100}, \frac{48}{100}[/tex], . . .

Answer:

Answer Of this question is 1000

This answer is Nonlinear

Answer:

x = ±sqrt(3) i

Step-by-step explanation:

x^2+4-1 =0

Combine like terms

x^2 +3 = 0

Subtract 3 from each side

x^2 +3-3 = 0-3

x^2 = -3

Take the square root of each side

sqrt(x^2) = sqrt(-3)

x = ±sqrt(3) sqrt(-1)

x = ±sqrt(3) i

Answer:

The answer is (3,0)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3 ¾ = 3.75. hope this helps!

Answer:

n = 3/5

Step-by-step explanation:

Represent this quotient as:

   n

---------

-2/3

and set it equal to -9/10:

   n           -9

--------- = -------

-2/3          10

Cross multiplication yields:

10n = 6, so that n = 6/10 or n = 3/5

Answer:

1277.5

Step-by-step explanation:

365 days in a year. If he walks daily 3.5 miles, then 3.5*365

3.5*365= 1277.5

Answer:

[tex] \displaystyle 27150200[/tex]

Step-by-step explanation:

we are two conditions

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]

with the condition we obtain that,

therefore substitute:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]

simplify Parentheses:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]

rewrite:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

rewrite 12 and 10:

[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]

simplify multiplication:

[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]

simplify which yields:

[tex] \displaystyle\binom{43}{4} = 123410[/tex]

hence,

The committee of 7 members can be selected in BLANK different ways is

[tex] \displaystyle 123410 \times 220[/tex]

[tex] \displaystyle \boxed{27150200}[/tex]

and we're done!

Answer:

x-intercept is (13/3, 0)  

y-intercept is (0,-13)

Step-by-step explanation:

change y+1 = 3(x-4) into slope-intercept form:

y+1 = 3x-12

y = 3x-13

y-intercept is (0,-13)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 3x-13

13 = 3x

13/3 = x

x-intercept is (13/3, 0)  

Answer:

y = -x - 2

Step-by-step explanation:

The slope is -1 and the y-intercept is (0, -2).