Which equation has x = 4 as the solution?
olog,(3x+4)= 2
log, (2x-5) = 2
log, 64=4
log, 16 =4

Answers

Answer 1
16=4 because in order to get 4 you need have to divide 16 into 4
Answer 2

The equation that has the solution x = 4 is [tex]log_ 4 (3x+4) = 2[/tex].

Option A is the correct answer.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To find which equation has x = 4 as the solution,

We can substitute x = 4 into each equation and see which one gives a true statement.

Now,

[tex]log_4 (3x+4) = 2\\log_3 (2x-5) = 2\\log_x 64 = 4\\log_x 16 = 4[/tex]

We can write it as,

4² = 3x + 4

16 = 3x + 4

16 - 4 = 3x

3x = 12

x = 4

3² = 2x - 5

9 = 2x - 5

9 + 5 = 2x

14 = 2x

x = 7

[tex]x^4[/tex] = 64

x = [tex]64^{1/4}[/tex]

[tex]x^4[/tex] = 16

x = 16[tex]16^{1/4}[/tex]

x = 2

Thus,

[tex]log_ 4 (3x+4) = 2[/tex] has the solution x = 4.

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The complete question:

Which equation has x = 4 as the solution?

[tex]log_4 (3x+4) = 2\\log_3 (2x-5) = 2\\log_x 64 = 4\\log_x 16 = 4[/tex]


Related Questions

Question in Image. Thanks!

Answers

The answer is C I think

Raj was asked to fully simplify this polynomial and put it into standard form.
2x+y + 8x? – xy2 - 2x + 3xy2 + 6y?
Raj simplified the polynomial with a final term of 6y. What is the first term of the polynomial Raj ended up with?
6x?
Box
2xy?

Answers

Answer: 16y- 2xy

Step-by-step explanation:

Please help me, i've asked before but go no answer. Brainliest to correct answer and thanks to all answers

Answers

Answer:

The answer is B.

Step-by-step explanation:

All other answers are irrational

Latisha determined the approximate amount of time each student in her homeroom class spent outside on a sunny day and on a rainy day. The dot plots below show her results.

Sunny Day
A dot plot titled Sunny Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There are 0 dots above 35, 1 above 40, 2 above 45, 2 above 50, 3 above 55, 2 above 60, 2 above 65, 2 above 70, 1 above 75, and 0 above 80 and 90.

Cloudy Day
A dot plot titled Cloudy Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There is 1 dot above 35, 4 above 40, 5 above 45, 3 above 50, 2 above 55, and 0 above 60, 65, 70, 75, 80, and 90.

Which measures of center and variability can be used to most accurately compare the two data sets?
mean and MAD
mean and IQR
median and MAD
median and IQR

Answers

Answer:

THE ANSWER IS A. I HAD THE SAME QUESTION

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

If x = 12 cm, what is the volume of the prism?
7 cm³

Answers

Answer:

84

Step-by-step explanation:

PLEASE HELP REALLY EASY!!!!!!!!!!!!
The equation, y=−16x^2+32x+64, represents the height, in feet, of a firework x seconds after it is launched.

What is the maximum height of the firework?

Answers

Answer:

(1,80)

Step-by-step explanation:

hope i am being a good help

A line has a slope of Negative one-half and a y-intercept of –2. A coordinate plane. What is the x-intercept of the line?

Answers

In a coordinate plane, the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

A line has a slope of Negative one-half and a y-intercept of –2.

m = – 1/2

c = – 2

The equation of line will be

                y = –(1/2)x – 2

1/2x + y + 2 = 0

  x + 2y + 4 = 0

For the x-intercept, the value of y will be zero.

x + 2y + 4 = 0

Put x = 0, then the value of y will be

x + 2(0) + 4 = 0

         x + 4 = 0

               x = –4

Then the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).

The equation of the line is drawn in the graph.

It can be clearly observed the line intersect at (-4, 0) and (0, -2).

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Answer:

-4 is the answer

Step-by-step explanation:

Please help me I’m lost

Answers

Answer:

look it up on google if you havent tried already. also it doesn't hurt to ask for help from someone you know.

Step-by-step explanation:


11. A box of apples has a mass of 17.5 kg.)
A box of pears has a mass of 15.5 kg.
a) Write an algebraic expression for the
total mass of a boxes of apples and
p boxes of pears.
b) Use your expression to determine the
total mass of a shipment of 32 boxes of
apples and 41 boxes of pears.

Answers

a) 17.5a + 15.5p = t

b) Total mass of the shipment is 1195.5kg

Step-by-step explanation:

Mass of 1 box of apple= 17.5kg

Mass of 1 box of pears = 15.5kg

a) expression for getting total mass:

Let the no. of boxes of apple be 'a'

Let the no. of boxes of pears be 'p'

Let the total mass be 't'

17.5a + 15.5p = t

b) a = 32

p = 41

17.5a + 15.5p = t

17.5(32) + 15.5(41)  = t

560 + 635.5 =t

1195.5 = t

Total mass of the shipment is 1195.5kg

Ok so can someone pls help me on this. It’s math, and pls explain.

Answers

Answer:

3)a. (80 km/hour)(6 hours) = 480 km

b. 480 km/5 hours = 96 km/hour

Iris charges $50 for her consulting services plus $60 for each hour she
works. On one job, Iris charged $470. Write and solve an equation to
model this scenario. Use the variable h
O
50 + 60h = 470
0
50h + 60 = 470
0
60h + 470 = 50
50h + 470 = 60​

Answers

Answer:

50+60h = 470

Step-by-step explanation:

50 is the constant as she charges a base fee.

"For each" => price varies => "varies" => variable => x

50+60h = 470.

Answer:A and the variable H = 7

5. A hockey player whose initial speed is 8.1 m/s increases his speed to 8.6 m/s in order to get to
the puck first. If the hockey player takes 5.0 seconds to complete this increase in speed, what
is his acceleration?

Answers

Answer:

0.1m/s²

Step-by-step explanation:

the explanation is in the picture

please rate and mark as brainliest

How do you do question 3?

Answers

Answer:

Standard Form: 4x-1x^3-5x^2.

Answer:

[tex]4x + {x}^{3} - 5 {x}^{2} [/tex]

Step-by-step explanation:

[tex]4x - 3 {x}^{3} + 2 {x}^{3} - 5 {x}^{2} \\ = 4x + {x}^{3} - 5 {x}^{2} [/tex]

Determine the slope of the line that has the following coordinates: (1.5, 6) (3.75, -12)

A. 18/2.25

B. -18/5.25

C. -6/2.25

D. -18/2.25

Answers

Answer:

= -18/2.25

Step-by-step explanation:

We can find the slope by using the following

m = (y2-y1)/(x2-x1)

   = (-12-6)/(3.75 - 1.5)

   = -18/2.25

 

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

Point A = (1.5, 6)

Point B = (3.75, -12)

Slope measures the steepnees of a line.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Asign values to x1, y1, x2 and y2

    x1 = 1.5  y1  = 6  x2 = 3.75  y2 = -12

-Substitution

          m = (-12 - 6) / (3.75 - 1.5)

-Simplification

          m = -18 / 2.25

-Result

         m = 8

It is possible to simplify more the result so slope = 8.

the square of a number and 7 times a number are -10

Write the equation and the answer

Answers

Step-by-step explanation:

The sum of the square of a number and 7 times a number

The phrase a number means an arbitrary variable, let's call it x.

x

Square the number:

x^2

7 times the number means we multiply x by 7:

7x

The sum means we add x^2 and 7x

x^2 + 7x

Answer:

The answer is x² + 7x + 10 = 0.

Step-by-step explanation:

First, you have to make an expression. By reading the question, we can make it :

Let number = x,

Square of a no,

7 times a no,

7 × x

= 7x

And means ADD equals to -10,

x² + 7x = -10

x² + 7x + 10 = 0

(By forming an equation, you have to let expressions equals to 0, so I add 10 to both sides in order to get rid of -10)

A circular lawn of radius 10 mhas a circular flower bed of radius 5m dug into it.
What is the area of the remaining lawn? Give your answer in terms of pi (3.14)

Answers

Answer:

75π [tex]m^{2}[/tex]  ≈  235.62 [tex]m^{2}[/tex]

Step-by-step explanation:

R represents the radius of the lawn

r represents the area of the circular bed

So,

Area of the remaining lawn, A = area of the lawn - area of the circular flower bed

A = πR^2 - π^2

A = π(R^2 - r^2)

A = π(10^2 - 5^2)

A = π( 100 - 25)

A = 75π  [tex]m^{2}[/tex]  ≈   235.62[tex]m^{2}[/tex]

A=3.14x10•10=314

10x10=100
3.14x100=314

The circumference of a circle is 36x feet. What is the length of the radius of this circle?
O oft
O 18h
O 36 ft
O 72 ft

Answers

Answer:

18h

Step-by-step explanation:

Plz hurry
The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5

Answers

Answer:

c

Step-by-step explanation:

Final answer:

The deviation from the mean for the data point 27 in a data set with mean 30 is -3.

Explanation:

In mathematics, the deviation from the mean of a data set is a measure of the distance between each data point and the mean. It is obtained by subtracting the mean from the data point. In this case, the mean of the data set is given as 30. To find the deviation from the mean for the data point 27, you simply subtract 30 (the mean) from 27 (the data point).

So 27 - 30 = -3

This means the deviation from the mean for the data point 27 is -3 which corresponds to option b.

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Determine the slope of the line below.
A. -3/2
B. 2/3
C. 3/2
D. -2/3

Answers

Answer:

B

Step-by-step explanation:

Count from the y-intercept to the next natural point. 2 up and then 3 across

Dan’s aquarium holds 6 quartz of water more than Steven’s aquarium. Dan’s aquarium holds 7 gallons. How much does Steve’s aquarium hold?

Answers

Steve’s aquarium holds 5.5 gallons

6 quartz converted to gal is 1.5 gallons
Since dan has 7 gallons and has 1.5 gallons more than Steve, you need to find the difference.
7-1.5=5.5

Solve the equation.
5x + 6 = 2(2x – 3)

x =

Answers

Don’t forget you have to do the parenthesis first. X=-12

324.8 rounded to the nearest ten

Answers

Answer:

Step-by-step explanation:

so you take the eight and round it so then it makes a zero and the 4 becomes a 5

Answer:

320

Step-by-step explanation:

320

As your rounding to the ten place if your number is above five you round up if its below you round down.

A certificate of deposit has $10,000.00 and the bank pays 2.89% interest compounded monthly. After 5 years, what is the account balance?

Answers

Final Answer:

After 5 years, the account balance would be approximately $11,541.20.

Explanation:

To calculate the account balance for a certificate of deposit that has an initial amount of $10,000.00, with an annual interest rate of 2.89% compounded monthly over 5 years, we must use the compound interest formula:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

where:
- A is the amount of money accumulated after t years, including interest.
- P is the principal amount, which is the initial amount of money ($10,000.00 in this case).
- r is the annual interest rate in decimal form (2.89% or 0.0289 in this case).
- n is the number of times that interest is compounded per year (12 times per year for monthly compounding).
- t is the time the money is invested for, in years (5 years in this case).

Firstly, we convert the annual interest rate from a percentage to a decimal by dividing by 100:

r = 2.89% = 0.0289

Now we substitute the given values into the formula:

[tex]\[ A = \$10,000.00 \left(1 + \frac{0.0289}{12}\right)^{12 \cdot 5} \][/tex]

We calculate the rate per period by dividing the annual interest rate by the number of compounding periods per year:

[tex]\[ \frac{0.0289}{12} = 0.00240833 \][/tex] (rounded to 8 decimal places for precision)

Now calculate the growth factor:

[tex]\[ \left(1 + \frac{0.0289}{12}\right) = 1 + 0.00240833 = 1.00240833 \][/tex]

This growth factor is raised to the power of 60 (since there are 12 months in a year and we are compounding for 5 years):

[tex]\[ (1.00240833)^{60} \][/tex]

Using a calculator, raise 1.00240833 to the power of 60 to get approximately:

[tex]\[ 1.00240833^{60} \approx 1.15412 \][/tex](rounded to 5 decimal places for simplicity)

Finally, multiply this result by the principal amount to find the accumulated amount:

[tex]\[ A = \$10,000.00 \times 1.15412 \approx \$11,541.20 \][/tex]

Therefore, after 5 years, the account balance would be approximately $11,541.20.

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x + 5)? A) translate vertically 5 units up B) translate vertically 5 units down C) translate horizontally 5 units left D) translate horizontally 5 units right

Answers

Answer:

C) translate horizontally 5 units left

Step-by-step explanation:

f(x + 5)

Is a change in domain

The graph of f(x) is shifted 5 units towards the left to obtain the graph of f(x+5)

Answer:

C

Step-by-step explanation:

When we only change the x part of the function (that is, we add, subtract, multiply, or divide something in relation to the x part of f(x)), that is called a horizontal transformation. When we change the entire function, that's a vertical transformation.

In this case, because we are only changing the x (we turn f(x) into f(x + 5)), this is a horizontal transformation. One thing to note about horizontal transformations is that they are "backwards", which means that if we add to the x, we actually move the graph in the negative direction (which is to the left), whereas if we subtract from x, we move the graph in the positive direction (which is to the right).

Here, we're adding 5 to x, which we know means that we are translating the graph of f(x) horizontally to the left 5 units.

Thus, the answer is C.

Hope this helps!

A regular hexagon is shown.

A rectangular hexagon has an apothem with length 12 inches and a radius with length c. The apothem cuts the side of the hexagon into 2 equal parts with length b.

What is the measure of the radius, c, rounded to the nearest inch? Use the appropriate trigonometric ratio to solve.

6 in.
10 in.
14 in.
24 in.

Answers

Answer:

The answer is C) 14in.

Step-by-step explanation:

this is very easy, you just gotta do this, then that, then this, blablablabla you will get 100%

The radius of the hexagon with an apothem of 12 in is 14 inches.

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

The angles of a hexagon measure 60 degrees each, since it is bisected, the angle becomes 30 degrees.

Let c represent the radius of the hexagon, hence:

cos(30) = 12/c

c = 14 in

The radius of the hexagon with an apothem of 12 in is 14 inches.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Solve (x + 5)∕3 = 4 for x.

Question 9 options:

A)
17

B)
23

C)
61∕3

D)
7

Answers

Answer:

x+5=12

x=7 aka D

Step-by-step explanation:

Hope it helps !

Final answer:

To solve the equation (x + 5) / 3 = 4 for x, multiply both sides by 3 and then subtract 5 from both sides, which yields the solution x = 7.

Explanation:

To solve the equation (x + 5) \/ 3 = 4 for x, we start by performing the inverse operation of the division by 3 to isolate x. We multiply both sides of the equation by 3:

3 * ((x + 5) \/ 3) = 3 * 4

Now, the equation simplifies to:

x + 5 = 12

Next, we subtract 5 from both sides of the equation to solve for x:

x + 5 - 5 = 12 - 5

Which gives us:

x = 7

So the answer to the equation is D) 7.

Which of the following points lies on the graph of this equation?

A) (-3,2)
B) (3,5)
C) (3,3)
D) (6,8)​

Answers

Answer:

C(3,3)

Step-by-step explanation:

C) (3,3) if not then its A) (-3,2)

Determine the solution?

Answers

Answer:

c)   (-∞, -4] or [7,∞)

Step-by-step explanation:

x² - 3x - 28 ≥ 0

x² - 7x + 4x -28 ≥ 0

x (x - 7) + 4(x - 7) ≥ 0

(x-7) (x + 4) ≥ 0

When x value lies in (-∞, -4],  (x-7)  value will be negative and (x+ 4) will be negative. So, result will be positive

When x value lies in [7,∞),  both (x-7)  and (x+ 4) will be positive. So, result will be positive

Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?


Please help!

Answers

Answer:

see explanation

Step-by-step explanation:

The inscribed angle ABD is on half the central angle ACD, that is

∠ ABD = 0. × 50° = 25°

The measure of arc AD is equal to the central angle it subtends, thus

arc AD = 50°

1. The measure of inscribed angle [tex]\( \angle ABD \)[/tex] is 25 degrees. 2. The measure of arc [tex]\( AD \)[/tex] is 50 degrees.

To solve this problem, we need to understand the relationship between central angles, arcs, and inscribed angles in a circle.

1. Measure of Arc AD:

The measure of an arc created by a central angle in a circle is equal to the measure of the central angle itself. Given that the central angle [tex]\( \angle ACD \)[/tex] is 50 degrees, the measure of arc [tex]\( AD \)[/tex] is also 50 degrees.

[tex]\[ \text{Measure of arc } AD = 50^\circ \][/tex]

2. Measure of Inscribed Angle ABD:

An inscribed angle that intercepts the same arc as a central angle will have a measure that is half the measure of the central angle. In this case, the inscribed angle [tex]\( \angle ABD \)[/tex] intercepts arc [tex]\( AD \)[/tex], which has a measure of 50 degrees.

[tex]\[ \text{Measure of } \angle ABD = \frac{1}{2} \times \text{Measure of arc } AD = \frac{1}{2} \times 50^\circ = 25^\circ \][/tex]

The complete question is:

Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?

1. [tex]\( \angle ABD \)[/tex] = ______.

2. arc [tex]\( AD \)[/tex] = ______.

If the surgeon and the pharmacist each worked 30 years, how much more money does the surgeon make in lifetime income?

Answers

Answer:

3,467,700 excluding years studying

Step-by-step explanation:

Every year the Surgeon makes $115,590 more than the Pharmacist (230,540-114,950)

$115,590 * 30 = $3,467,700

The surgeon makes $9,900,000 more in lifetime income than the pharmacist over a working period of 30 years.

To answer the question about how much more money a surgeon makes in lifetime income compared to a pharmacist, we first need to understand the potential earnings of both professions over a 30-year working period.

Step 1: Define Earnings for Each Profession

Let's assume:

The surgeon earns an average of $450,000 per year.The pharmacist earns an average of $120,000 per year.

Step 2: Calculate Lifetime Income

For the Surgeon:

Lifetime income = Annual salary × Number of years workedLifetime income = $450,000 × 30 = $13,500,000

For the Pharmacist:

Lifetime income = Annual salary × Number of years workedLifetime income = $120,000 × 30 = $3,600,000

Step 3: Calculate the Difference in Lifetime Income

To find out how much more the surgeon makes compared to the pharmacist, we subtract the pharmacist's total income from the surgeon's total income:

Difference = Surgeon’s income - Pharmacist’s incomeDifference = $13,500,000 - $3,600,000 = $9,900,000

Conclusion

In conclusion, the surgeon makes $9,900,000 more in lifetime income than the pharmacist over a working period of 30 years.

Other Questions
In his new version of intelligence testing, David Wechsler included new items that required nonverbal reasoning and discarded the intelligence quotient in favor of a new scoring system based on the normal distribution. A department head at a university resigned on the first day of the spring semester. It was subsequently determined that the department head deleted numerous files and directories from the server-based home directory while the campus was closed. Which of the following policies or procedures could have prevented this from occurring? i you know the latin prefix pre means before you can probably guess the meaning of the word prehistoric which word in this sentence can help you figureout whether your guess was correct which situation is is an example of internal conflict 7.Ellos___________a hablar ahora. (empezar) Write a letter to your future self 5, 10 or 20 years from now and explain how the pandemic changed life as you once knew it. Contrary to most peoples belief, high-school students should not work part time; such work hinders their academic performance and does not give them any skills that will be useful in later life. Moreover, they may spend their earnings on alcohol or drugs.A. Inform (I) if the primary purpose of the sentence is to inform.B. Persuade (P) if the primary purpose of the sentence is to persuade.C. Entertain (E) if the primary purpose of the sentence is to entertain. Jasmine and Luke used fea part b From the story you can conclude that George and Hazel agree that Requiring handicaps is an abuse of the government's power. Obeying the government is more important than their son's expression of individuality. Harrison is right to fight for his individuality. Handicaps are a horrible way to achieve equality in society. Please help! Look at the image. Will give brainliest and 100 points if these are answered! Samuel and Jason sell cans to a recycling center that pays $0.40 per pound of cans. The table shows the number of pounds of cans that they sold for several days.DaySamuel's cans(lb)Jason's cans(lb)Monday17.410.4Tuesday13.311.3Wednesday10.47.2Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost $5.50 each. How many batteries can Samuel buy?Samuel can buy batteries Please help asap!!Read this excerpt from The Early History of the Airplane by Wilbur Wright. Now, there are two ways of learning how to ride a fractious horse: one is to get on him and learn by actual practice how each motion and trick may be best met; the other is to sit on a fence and watch the beast while, and then retire to the horse and at leisure figure out the best way of overcoming his jumps and kicks.Select the clues that helped define the term fractious. A. horse, overcoming his jumps and kicksB. horse, figure out the best wayC. learn by practice D. actual practice, motion and trick The ticketing system at the airport is broken, and passengers have lined up to board the plane in the incorrect order. This line is represented in an ArrayList tickets in the AirLineTester class. Devise a way to separate passengers into the correct boarding groups. Currently, there is an AirlineTicket class that holds the information for each passengers ticket. They have a name, seat, row, and boarding group. Use the TicketOrganizer class to help fix the order of passengers boarding. First, create a constructor that takes an ArrayList of AirLineTickets and copies it to a class variable ArrayList. Then, create a getTickets method to get the ArrayList of AirLineTickets. In the TicketOrganizer class, create a method called printPassengersByBoardingGroup that prints out the name of the passengers organized by boarding group. The boarding groups go from 1-5, and have been predetermined for you. This should print the boarding group followed by all passengers in the group: Which expressions represent the product of exactly two factors? Choose 2 answers: Choose 2 answers: (Choice A) A x+yx+yx, plus, y (Choice B) B 5(x+y)5(x+y)5, left parenthesis, x, plus, y, right parenthesis (Choice C) C (x+y)left parenthesis, x, minus, y, right parenthesis, left parenthesis, x, plus, y, right parenthesis (Choice D) D xy, y, z English: in third person point of view: Select the possible values for x in the equation x2 = 108.A.[tex] \sqrt[ 36]{3} [/tex]B. [tex] \sqrt{18} [/tex]c. 54D.[tex] \sqrt[6]{3} [/tex] y=3(x-2)(x+1)(x-4) find all the zeros of the function 70% of $56 is (round to the nearest cent) Describe the method by which an electrical potential developed in generators and thermocouple? Which statement is true A. (X,y) (x-7,y+2) represents a translation 7 units down and 2 units to the rightB. (X,y) (-x,-y) represents a rotation 180 clockwiseC. (X,y) (x+3.5,y+3.5) represents a dilation wuth a scale factor of 3.5D. (X,y) (-x, y) represents a reflection over the x axis