I need help on #5 on my summer packet my teacher never taught me this and I need help.

Solve:  2 ln 3 = ln(x - 4)

a)x = 9

b)x = 10    

c)x = 13

Answer:

x = 13

Step-by-step explanation:

To solve the problem above, we will follow the steps below;

2 ln 3 = ln(x - 4)

[using logarithm rule  aInb =  Inbᵃ]

so also our equation becomes

In 3² = In (x-4)

The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation

Our equation becomes;

3² = x- 4

9 = x-4

add 4 to both-side of the equation in other to make x subject of the equation

9 + 4 = x-4 + 4

13 = x

x = 13

Answer:

C on Edge x = 13 x =  

-4  and x =  4

the solution is x =  4

Step-by-step explanation:

I just did the assignment on edge.

Answer:

There is a zero percent chance of him giving his friends two green pens.

Step-by-step explanation:

He only has One pen.

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Answer:

18/121

1/4

(not 100% sure)

Answer:

the answer is 1/2

explanation:

the answer is 1/2 because 3 is in the middle of 1 through 6 so it would be 1/2

Answer:

x=4

Step-by-step explanation:

split the triangle into two and you will get another smaller triangle as shown in what I have drawn

so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it

so by Pythagoras theorem, 5^2= 3^2 + x^2

then you can solve for x

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-1/3 -1/2 = -5/6

1/2-1/4 = 1/4

The negative makes the reciprocal

x^1/4/y^5/6

Answer:

The measure of and obtuse angle is 180°

Step-by-step explanation:

obtuse angles are more than 90°but less than 180°

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

5 / 14

if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))

Answer: 8:11

Step-by-step explanation:

5 and 3 is Hari's ages.

5+3=8 (Now Hari is 8 ages)

7 and 4 is Harry's ages.

7+4=11 (Now Harry is 11 ages)

Ratio is 8:11

Answer:

Harry is 11 and Hari is 8

Step-by-step explanation:

5:7+3:4=8 and 11

Answer:

100 pie m^2

[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]

Answer:

[tex]= 100\pi {m}^{2} \\ [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]

[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]

hope this helps

Answer:

B

Step-by-step explanation:

Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.

Answer:

B

Step-by-step explanation:

∠ BDC = 9x ( vertical angles )

∠ ABD and ∠ BDC are supplementary , thus

∠ ABD + ∠ BDC = 180 , substitute values

2x + 105 + 9x = 180 → B

Answer:

The answer is option a.

Step-by-step explanation:

=(7+12/2 , 9+11/2)

=(19/2, 20/2)

= ( 9.5 , 10)

Hope this helps.

Answer:

A

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x , y ) → (- y, x ) , thus

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

Answer:

A

Step-by-step explanation:

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.

Answer:

I got 2

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is horizontal and parallel to the x- axis

Since the x- axis has a slope of zero then the line has a slope of zero.

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

C

Step-by-step explanation:

Answer:

1 1/2 or 1.5

Step-by-step explanation:

think: half of 4 is 2 so 1 half cup would make it to 2/4

than half of that is 1/4 which is 1/2 of 1/2 a cup

adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)

Answer:

A = $ 31,043.09

A = P + I where

P (principal) = $ 3,600.00

I (interest) = $ 27,443.09

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

(11-x)x(11+x)

Step-by-step explanation:

Answer:

x = -2, x= -5 , x= +5

Step-by-step explanation:

x^3 + 2x^2 -25x - 50 = 0

Factor by grouping

x^3 + 2x^2        -25x - 50 = 0

x^2(x+2)   -25( x+2) = 0

(x+2) ( x^2 -25) =0

Using the zero product property

x+2 =0     x^2 -25 =0

x=-2            x^2 = 25

x= -2            Taking the square root of each side

                     x = ±5

Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

Answer:

x = 7

Step-by-step explanation:

Since this is a right triangle, we can use a trig function

tan theta = opposite/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7

Divide each side by tan 45

x = 7/ tan 45

x = 7

Answer:

7

Step-by-step explanation:

It is a 45 45 90 triangle

meaning that the side lenghts will be x, x, x root 2

the hypotenuse will be x root 2, so that means that the side length will be 7

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .