Which of the following is true regarding the solutions to the logarithmic equation below?

Answer:

1 or -0.5±1.9365i

Step-by-step explanation:

We know that [tex]x^{3} - y^{3} = (x-y) ^{3} +3xy(x-y)[/tex]

So plug in x=a and y=1/a, (a-1/a)^3+3*a*1/a*(a-1/a)=4

Let a-1/a=k, k^3+3k=4, k=1 or a complex conjugate -0.5±1.9365i

That's the answer.

Answer: D. 136in^2

Step-by-step explanation:

Find the surface area if all sides and add

4*10=40

2*4=8

2*4=8

4*10=40

2*10=20

2*10=20

40+40+8+8+20+20=136

136in^2

Step-by-step explanation:

step 1. f°g(x) = f(x^2)

step 2. f(x^2) = 4(x^2) - 1

step 3. answer: 4x^2 - 1

Answer: 26 in.

Step-by-step explanation:

Given

Heights of Poles are [tex]12\ in., 22\ in.[/tex]

distance between them is [tex]x=24\ in.[/tex]

the difference in heights of the pole is [tex]y=22-12=10\ in.[/tex]

From the figure, using Pythagoras theorem, distance L is given by  

[tex]\Rightarrow L^2=y^2+x^2\\\Rightarrow L^2=10^2+24^2\\\Rightarrow L^2=100+576=676\\\Rightarrow L=\sqrt{676}=26\ in.[/tex]

The distance between tops is 26 in.

y = x + 7

For -1:

y = -1 + 7 = 6

y = 7

(x,y) = ( -1, 7)

For 0:

y = 0+ 7

y= 7

(x,y) = (0,7)

For 2:

y = 2+ 7

y= 9

(x,y) = (2,9)

For 4:

y = 4+ 7

y= 11

(x,y) = (4,11)

Answer:

power = work/ time

2hrs = 60×2 seconds = 120s

power = 1987/120

= 16.5 watt

Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Answer:

●3 x^2 - 16 x + 20

in this case you will write -16 as a difference

3 x^2 - 6x - 10 x + 2

●2 x^2 + 25x + 50

write 25 as a sum

2 x^2 + 20x + 5 x + 50

Answer:

above is correct i reviewed it id be surprised if its wrong.

Step-by-step explanation:

give above brainliest.....

Answer:

20 square feet

Step-by-step explanation:

Area of a triangle is half the area of a rectangle. (when they have the same length and width!)

To get the area it would be 10 *2 = 20

Answer:

42 + 26 = 68

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3x+15=4x-5

3x+15-15=4x-5-15

Answer:

We got a problem here.  What is the unit of measure for 23.6 and are you sure the 5 cm should be 5 m?

Step-by-step explanation:

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate=  4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years

Answer:

Step-by-step explanation:

Cylinder volume formula:

Substitute values:

Answer:

point, P and Q Brocard's points. Prove that P and Q belong to the circle with diameter ... 0 < αi < 2π. ... 5. Square P QRS is inscribed into △ ABC so that vertices P and Q lie on sides AB and

Answer:

4x^6 y^4 / z^4

Step-by-step explanation:

you have to divide each of the variables by the coefficient

Answer:

it ia a because i did that on edginuity

Answer:

This doesn’t add up because the hypotenuse is supposed to be the longest side

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

angle E is 115

angle C and B 20 degrees

180 - 135= 45

Answer:

c = xy = b 3-030

i have this free of square unit b 6

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

I have made it in above picture

hope it helps

Answer:

Step-by-step explanation:

In order to find the answer. You first have to find the measure of the whole circle, which is 180.

Then you subtract 180-95 to find y.

180-95=85

So y=85

Then you subtract 180 from 80

180-80=100

So x=100

z=80

So the answer is D.

State taxes.

According to Urban dot org, school funding is a blend of federal, state, and local dollars.

State taxes are more likely to be correct due to education being the state's responsibility.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

it is your answer...... if it is helpful plzz like ans comment

Answer:

2

Step-by-step explanation:

Answer:

Per means:

Definition of per (Entry 1 of 4)

1: by the means or agency of : THROUGH

per bearer

2: with respect to every member of a specified group : for each

3: according to —often used with as

per instructions

as per usual

per adverb

Definition of per (Entry 2 of 4)

: for each : APIECE

a bargain at $3.50 per

per abbreviation

Definition of per (Entry 3 of 4)

1period

2person

per- prefix

Definition of per- (Entry 4 of 4)

1: throughout : thoroughly

peruse

2a: containing the largest possible or a relatively large proportion of a (specified) chemical element

perchloroethylene

b: containing an element in its highest or a high oxidation state

perchloric acid

also heres an emodicon!

≧◠‿◠≦✌

Answer:

Not sure what you're asking here.

Step-by-step explanation:

If you're trying to find the new price just put in your calculator.

Answer:

77 is 35% of:  220

Step-by-step explanation: