SYSTEM:
log base root3 of (x-y) = 2

log base 4 of x - log base x of y = 7/6

Answers

Answer 1

Answer:

Step-by-step explanation:

SYSTEM:

log base root3 of (x-y) = 2 .... 1

log base 4 of x - log base x of y =7/6...2

From equation 1:

x-y = (√3)²

x - y = 3 ..... 3

From equation 2:

log base 4 of x - log base x of y =7/6

-log base x of 4 - log base x of y = 7/6

log base x of 4^-1 - log base x of y = 7/6

log base x of (1/4) - log base x of y = 7/6

According to law of logarithm

Log base x {1/4 ÷ y} = 7/6

x^7/6 = 1/4y .... 2

From 1, y = x-3

x^7/6 =1/4(x-3)

x^7/6 = 1/(4x-12)

x^7/6(4x-12) = 1

From


Related Questions

WHO IS EARNING POINTTTSSS?!!!! ♡ ( who is smart )

Answers

Answer:

Step-by-step explanation:

yup its b i  checked

The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9 ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. Which person will get a color mixture that is the same shade as Perfect Purple Water? Jada Andre

Answers

Answer:Jada will get same shade as Perfect Purple Water

Step-by-step explanation:

STEP 1

To get the right  recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture

The ideal mixture is given as

8ml  blue water and 3 ml red water.

Step 2

Andre mixes 16ml blue water with 9ml red water

[tex]\frac{8ml}{3ml}[/tex] is not equivalent to [tex]\frac{16ml}{9ml}[/tex]

Because dividing Andre's mixture  by a common value  will  not give  the equivalent ratio of the ideal recipe

[tex]\frac{16ml}{9ml}[/tex]  [tex]\frac{/}{/}[/tex]  [tex]\frac{3}{3}[/tex] =[tex]\frac{5.3ml}{3ml}[/tex]  

Jada mixes 24ml blue water with 9ml red water

[tex]\frac{8ml}{3ml}[/tex] is equivalent to [tex]\frac{24ml}{9ml}[/tex]

Because dividing Jada's mixture  by a common value  gives the equivalent ratio of the ideal recipe

[tex]\frac{24ml}{9ml}[/tex]  [tex]\frac{/}{/}[/tex]  [tex]\frac{3}{3}[/tex] =[tex]\frac{8ml}{3ml}[/tex]  

This shows that Jada got the right recipe and will get  same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for  Perfect Purple Water

Let u= (5, -12) and c= -3. What is || cu ||?
A- -39
B- 39
C- 21
D- 51

Answers

Answer:

Step-by-step explanation:

21 I think

Answer:

it's B-39

Step-by-step explanation:

I saw someone else with a gr at explanation and they were correct

In circle M, diameters JL and HK each measure 16 centimeters. What is the approximate length of minor arc JH? Round to the nearest tenth of a centimeter. 3.5 cm 6.9 cm 21.6 cm 46.8 cm

Answers

Answer:

3.5 cm

Step-by-step explanation:

The computation of the approximate length of minor arc JH is as follows

As in the attached picture we can see that circle M is shown also the minor arc measures 25 degrees

Now the circle length is

= π × 16

= 50.26 cm.

Now this length would be proportional to 360 degrees

Let us assume the minor length arc JH be x

So, the equation would be

50.26 cm ÷  x cm = 360° ÷ 25°

x = 50.26 × 25 ÷ 360

x = 3.5 cm

Answer:

A. 3.5 cm

Step-by-step explanation:

In the picture attached, circle M is shown.

From the picture, minor arc JH measures 25°.

The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:

50.26 cm / x cm = 360° / 25°

x = 50.26*25/360

x = 3.5 cm

If y = e 4t is a solution to the differential equation d 2 y dt2 −10 dy dt +ky = 0, find the value of the constant k and the general solution to this equation. k = y = (Use constants A, B, etc., for any constants in your solution

Answers

Answer:

a. k = 24 b. y = [tex]Ae^{4t} + Be^{6t}[/tex]

Step-by-step explanation:

a. Find the value of the constant k

Since  [tex]y = e^{4t}[/tex] is a solution of d²y/dt² -10dy/dt + ky = 0, then  [tex]y = e^{4t}[/tex] must satisfy the equation.

So, d²y/dt² =  [tex]16e^{4t}[/tex] and dy/dt =  [tex]4e^{4t}[/tex]

So, d²y/dt² -10dy/dt + ky = 0

[tex]16e^{4t}[/tex] - 10([tex]4e^{4t}[/tex]) + k([tex]e^{4t}[/tex]) = 0

[tex]16e^{4t}[/tex] - [tex]40e^{4t}[/tex] + [tex]ke^{4t}[/tex] = 0

 - [tex]24e^{4t}[/tex] + [tex]ke^{4t}[/tex] = 0

- [tex]24e^{4t}[/tex] =  -[tex]ke^{4t}[/tex]

So, k = 24

b. Find the general solution to this equation.

Since k = 24, our equation is

d²y/dt² -10dy/dt + 24y = 0

The characteristic equation is thus

m² - 10m + 24 = 0

Factorizing this we have

m² - 6m - 4m + 24 = 0

m(m - 6) - 4(m - 6) = 0

(m - 6)(m - 4) = 0

m - 6 = 0 or m - 4 = 0

m = 6 or m = 4

Since we have real roots for the characteristic equation, then, the general solution is

y = [tex]Ae^{4t} + Be^{6t}[/tex]

**help pls, due soon!**

Answers

Answer:c

Step-by-step explanation:

its 8 less which would be -8 and then you have to divide p by 2 because its half so it would be p/2-8

Answer:

Step-by-step explanation:

(C) [tex]\frac{p}{2} - 8[/tex]

The ratio of right-handed students to left-handed students is 9 to 2. There are 468 right-handed students in the school. How many students are left handed?

Answers

there are 104 left handed students. you can get this answer by dividing the amount of right handed students by 9 (from ratio). Then multiply that answer by 2 (from ratio) to get your answer

Answer: 104 left handed students

Step-by-step explanation:

Ratio: 9:2

We should divide 468 by 9, use the number we find, and then multiply it by 2.

468 / 9 = 52

52 x 2 = 104.

There are 104 left-handed students in the school.

Hope this helps!

An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?​
please help i really need help A.S.A.P :)....pls help me....... thanks ..........​

Answers

Answer:

593.14 m

Step-by-step explanation:

Given that :

Length of rig visible above water surface (sea. Level) = 74.98m

Length of rig below surface of water (sea level) = 518.16 m

The total height of the rig:

The surface of water is usually regarded as a zero point ;

Hence. The total height of rig will be the sum of the height above sea level and the length below water surface

=(74.98 + 518.16) m

= 593.14 m

Which graph represents the compound inequality? n < –2 or n ≥ 4

Answers

n>4 bc it is not too bad and

Answer:

The answer is C.

Step-by-step explanation:

edge 2020

Use the following excerpt from your printable table of random numbers to estimate the answer to the question below. 46370 55170 53480 49126 89212 75292 67291 88241 37808 38154 What is the probability that a group of 5 random digits will contain at least 3 even digits? (Zero is considered an even digit.) A. 2/5 B. 1/5 C. 4/5 D. 3/5​

Answers

Based on the random numbers given, the probability that 5 random digits will have at least 3 even digits is D. 3/5.

How many random numbers have at least 3 even digits?

Based on the given numbers, the numbers that have at least 3 even digits are 6.

They are: 46370, 53480, 49126, 89212, 88241, and 37808.

The probability out of 5 of at least 3 even numbers is:

= Number of 3 digit numbers / Total random numbers

= 6 / 10

= 3 / 5

Find out more on probability and random numbers at https://brainly.com/question/251701.

#SPJ1

Answer:

9/10

Step-by-step explanation:

Guy above is wrong, I took it just now.

A persons blood type is denoted with A, B, and O, and the symbols + and — The blood type A+ is read as A positive the blood type be is tested B negative use the data to write in this ratio in 3 different ways

Answers

Answer:

6. O+ to A+ donors = 90 to 45; 90 : 45 and 90/45

7. AB- donors to AB+ donors = 4 to 6; 4 : 6 and 4/6

8. B+ to total donors = 20 to 195; 20 : 195 and 20/195

9. O- donors to A- donors = 9 to 21; 9 : 21 and 9/21

10. B- donors to B+ donor = 0 to 20; 0 : 20 and 0/20

11. O- donors to total donors = 9 to 195; 9 : 195 and 9/195

12. A+ donors and B+ donors to AB+ donors = 65 to 6; 65 : 6 and 65/6

13. A- donors and B- donors to AB- donors = 21 to 4; 21 : 4 and 21/4

14. the ratio 90/9 is a comparison of O+ donors to O- donors

Step-by-step explanation:

A ratio is a relationship where for every x unit of one quantity there are y units of another quantity. A ratio can be written in three ways:

x to y

x:y, or

x/y

For the given questions;

6. O+ to A+ donors = 90 to 45; 90 : 45 and 90/45

7. AB- donors to AB+ donors = 4 to 6; 4 : 6 and 4/6

8. B+ to total donors = 20 to 195; 20 : 195 and 20/195

9. O- donors to A- donors = 9 to 21; 9 : 21 and 9/21

10. B- donors to B+ donor = 0 to 20; 0 : 20 and 0/20

11. O- donors to total donors = 9 to 195; 9 : 195 and 9/195

12. A+ donors and B+ donors to AB+ donors

A+ donors and B+ donors to = 45 + 20 = 65

therefore, A+ donors and B+ donors to AB+ donors = 65 to 6; 65 : 6 and 65/6

13. A- donors and B- donors to AB- donors

A- donors and B- donors = 21 + 0= 21

therefore, A- donors and B- donors to AB- donors = 21 to 4; 21 : 4 and 21/4

14. O+ donors = 90; O- donors = 9

therefore, the ratio 90/9 is a comparison of O+ donors to O- donors

Find the measure of each angle indicated

Answers

angles in a triangle 180. we got angle T=50. we need the corner of triangle which would be V. angles on a straight line=180. 180-120=60. 60+50=110. 180-110= 70

Guys help plss:////////​

Answers

Answer:

[tex]f[2-f^{-1}(x)]=x[/tex]

Step-by-step explanation:

Given function is,

f(x) = [tex]\frac{x-1}{2}[/tex]

Equation form of the function will be,

y = [tex]\frac{x-1}{2}[/tex]

Interchange x and y,

[tex]x=\frac{y-1}{2}[/tex]

Solve for y,

y = 2x + 1

Therefore, inverse of the function 'f' will be,

[tex]f^{-1}(x)=2x+1[/tex]

Now [tex][2-f^{-1}(x)][/tex] = 2 - [2x + 1]

                          = -2x + 1

Value of [tex]f[2-f^{-1}(x)][/tex] = f(2x + 1)

From the given function,

f(2x + 1) = [tex]\frac{(2x+1)-1}{2}[/tex]

            = x

Therefore, value of  [tex]f[2-f^{-1}(x)]=x[/tex]

Find the equation of the line that contains the point (-5,-3) and is parallel to the line 5x+6y=11. Write the equation in slope-intercept form,if possible.

Answers

Answer:

y = -5x/6 - 33/6

Step-by-step explanation:

The standard form of equation of a line in point slope form is y - y0 = m(x - x0)

m is the slope

(x0, y0) is the point on the line

First we need the slope of the given equation 5x+6y=11.

Rewrite in standard form;

5x+6y=11

6y = -5x + 11

y = -5/6 x + 11/6

Hence the slope is -5/6

Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6

Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;

y - y0 = m(x - x0)

y - (-3) = -5/6 (x - (-5))

y + 3 = -5/6(x+3)

6(y+3) = -5(x+3)

6y+18 = -5x - 15

6y+5x =-15 -18

6y+5x =-33

Express in slope intercept form

6y = -5x - 33

y = -5x/6 - 33/6

Carlos has 5/8 pounds of pumpkin seeds. He puts the seeds evenly into 10 bags. How much pumpkin seeds are in each bag

Answers

Answer:

5/80 = 0.0625

Help! (tell me if you can’t see it)

Answers

Answer:

B. y=7x+3

Step-by-step explanation:

You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3

Find the y intercept of the line 1x -4y = -4

Answers

Answer:

(0,1)

Step-by-step explanation:

8
9
10
3
4
5
A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form

Answers

Answer:

60%

Step-by-step explanation:

add them all to 20

add 7 and 5 to get 12

12 over 20 is 60 percent

2 6/8 in simplest form

Answers

Answer:

2 3/4

Step-by-step explanation:

Frankie borrowed 800 for 6 years. He is charged 5% simple interest. How much interest will he pay in 6 years

Answers

Answer: The required simple interest = $240

Step-by-step explanation:

Formula for simple interest:

Interest = Principal x rate x time

Given: Principal = $800

rate of interest = 5% = 0.05

Time = 6 years

Interest = 800 x 0.05 x 6 = $240

Hence, the required simple interest = $240

A
116°
27°
.Y
37°
Z
A. AZ
B. ZY
C. AY
D. ZW

Answers

Answer:

B.  ZY

Step-by-step explanation:

The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.

Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways. They laid the same number of bricks, but Ben finished first. On Tuesday, they are going to work together to build the brick border of a patio. If they work for the same amount of time on Tuesday, who will likely lay more bricks?

Answers

Ben will likely lay more bricks than Caleb. Because Ben has higher efficiency.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
As mentioned in the question,
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways.

Since They laid the same number of bricks, but Ben finished first.

Now, On Tuesday, they are going to work together to build the brick border of a patio. they work for the same amount of time on Tuesdays,
But Ben has higher working efficiency so Ben will lay more bricks than Caleb.

Thus, Ben will likely lay more bricks than Caleb.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Please help me with this I will give 15 pts.!!

Answers

Answer:

33.3% of 1 liter of water per 1 liter of flour? i don't know just an assumption or guess not really that smart but tried(sorry if it is not right but I hope someone will correct me and also help you!)

What’s the answer?????

Answers

Answer:

a

Step-by-step explanation: I think A because it makes the most sence plz tell me if i'm wrong

Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?

6.) What is asked in the problem?

A. amount of her money

B. total amount of the paints

C. amount left in her money

D. amount of each can of paint

7. )What are the given facts?

A. Php1 500, Php403

B. 3 cans of paint, Php 403

C. Php1 500, Php403 and 3 cans of paints

D. 3 cans of paints, Php304 and Php1 500

8. )How much change did she get?

A. Php291 B. Php299 C. Php319 D. Php391

9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?

A. Php1 117 B. Php1 170 C. Php1 217 D. Php1 270

10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?

A. Php804 B. Php814 C. Php834 D. Php840​

Answers

Answer:

6) C. amount left in her money

7) C. Php1 500, Php403 and 3 cans of paints

8) A. Php291

9) B. Php1 170

10) D. Php840

Step-by-step explanation:

Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?

6.) What is asked in the problem?

Aloha was asked of her change. This means the amount that is left after buying the 3 cans of paint. Hence, option C is correct.

C. amount left in her money

7. )What are the given facts?

The given facts in the question are

The 3 cans of paint that cost Php 403 and the amount she paid the clerk which is Php 1500

Hence, Option C. Is correct.

C. Php1 500, Php403 and 3 cans of paints

8. )How much change did she get?

The amount for change she got is calculated as.

Php 1 500 - 3(Php 403)

= Php 1 500 - Php 1 209

= Php 291

The amount of change she got is Php 291

Option A. Php291 is correct

9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?

The question above can be interpreted as:.

Six Php100 bills

= 6 (Php100)

= Php 600

Seven Php50 bills

7 (Php50)

= Php 350

Eleven Php20 bills

11 (Php20)

= Php 220

The amount she she has is calculated as:

Php 600 + Php 350 + Php 220

= Php 1 170

Hence, Option B. Php1 170 is correct

10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?

We are told that:

He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip.

Hence, the cost for each trip is

Php 10 × 4 passengers

= Php 40

Hence:

1 trip = Php 40

21 trips = x

Cross Multiply

x = 21 trips × Php 40

x = Php 840

Option D. Php840 is correct

The pedigree on the right shows the inheritance pattern for an X-linked recessive disorder. If the female circled in pink married an affected male and had a female child, what is the chance that the child would also be affected? Express your answer in a percentage. % What is the chance that the child would be a carrier? % True or false? The child could be standard.

Answers

Based on the information given regarding the inheritance pattern, the chance that the child would also be affected or would be a carrier is 50% respectively.

Pedigree analysis

It should be noted that pedigree analysis simply means the study of heredity and inheritance of genes.

It is used by doctors to analyze the inheritance pattern, and observe any genetic disorder. In this case, the male is affected by the chromosome XY. Similarly, the male married the female, having X-linked recessive disorder.

In this case, the chance that the child would also be affected is 50%, and the chance that the child would be a carrier is 50%.

Learn more about inheritance on:

https://brainly.com/question/9365566

Answer:

% 50

% 50

False

Step-by-step explanation:

Hi, i need help Pleases.​

Answers

Wouldn’t it be 3.7 ?

Answer:

Step-by-step explanation:

What is the answer to this problem? -6z - 4 = -22

Answers

Answer:

z=3

Step-by-step explanation:

1.−6z−4=−22

2. +4 to both sides

3.-6z=−18

4. Divide -6 by both sides

5. -6z/-6 = -18/-6

6. x=3

What is an equation of the horizontal line that passes through the point (5, -7)?

Answers

Answer:

ummmm.......

Step-by-step explanation:

?
Simplify
4p + 2q - 3p - 3q
P-Q

Answers

Answer:

I think maybe 7p+5q

Step-by-step explanation:

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