Log4x=0 in fraction form showing work. Help

Answers

Answer 1
Answer: x=1/4

Work:

Log(4x)=0

First we need to rewrite this in exponential form. Using the definition of logarithm. If x and b are positive real numbers and b≠1, then logb(x)=y is also equivalent to b^9=x

10^0=4x

Rewrite the equation as

4x=10^0

Anything raised to 0 is 1

4x=1

Divide each term by 4

x= 1/4


Related Questions

In the diagram below, DE is parallel to XY. What is the value of x?
.
X
105
A. 75
B. 125
C. 105
D. 95

Answers

Answer:

105 degrees

Step-by-step explanation:

Corresponding angles

Answer:

x = 105⁰( corresponding angles)

What is the equation in slope-intercept form of a line passing through points (-1, 1) and (1, 5)

Answers

Answer:

y=2x+3

Step-by-step explanation:

Answer:

y=2x+3

Step-by-step explanation:

100pts: What is the slope of the following curve at x = n, for an arbitrarily chosen integer n?:
y = 3x^2 - 37x + 6

Answers

Answer:

6n -37

Step-by-step explanation:

The slope would be the derivative of the function

dy/dx = 6x - 37  evaluated at the point n

dy/dx = 6n -37

Answer:

6n - 37

Step-by-step explanation:

The derivative of the function f(x) gives the gradient (slope) of the tangent to the graph of y = f(x) at the point (x, y).

Given:

[tex]y=3x^2-37x+6[/tex]

Therefore, the gradient (slope) of the given curve at x is:

[tex]\implies \dfrac{dy}{dx}=2 \cdot 3x^{2-1}-37x^{1-1}+0[/tex]

[tex]\implies \dfrac{dy}{dx}=6x-37[/tex]

To find the slope, simply substitute x for n:

[tex]\implies 6n-37[/tex]

Somebody help ASAP please please please. I basically forgot all the steps to do this.

Answers

Answer:

m=50

Step-by-step explanation:

m=4a+2c

m= 4(10)+2(5)

m= 40+10

m=50

Two waiters at a cafe each served 10 large fruit smoothies. The amount in each large smoothie is shown below. What is the mean amounts in Waiter A's Large Smoothies? Do not include units in your answer.

Answers

Answer:

answer is 5 my explanation is I took the quiz a.d bit but right

This answer should be 5

Isabel invested $200 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $48. As a percentage, what was the annual interest rate of her investment.

Answers

You need to do cross multiplication

Which of the following rational functions is graphed below?

Answers

Answer:

option B

Step-by-step explanation:

We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.

These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).

So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.

The other options show functions that have only one point that goes to infinity.

Answer:b

Step-by-step explanation:

Can someone check my answers?


The amount of money in Alexander’s account is, = 4000 − 70, where is the amount in dollars and is the time in weeks.


a) Which variable is independent and which is dependent?


Answer: Dependent is -70x and independent is 4000


b) In which week will there be $1701 in the account?


Answer:

y=4000-70(x)

1701=4000-70(x)

-70x=1701-4000

-70x= -2299

x=-2299/-70

x=2299/70

x=32.843

x=33


c) How much will the amount in Alexander’s account change if the time increases by 15 weeks?


Answer:

y=4000-70(x)

y=4000-70(15)

y=2950

Answers

Answer:

yes you are correct

Step-by-step explanation:

The answers are a)  y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950

What are dependent and independent variables?

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Given that, The amount of money in Alexander’s account is, y = 4000 − 70x, where y is the amount in dollars and x is the time in weeks.

a) Here, y is the dependent variable as it depends on the value of x, and x is the independent value.

b) We have, total amount = $1701

Therefore, put y = $1701

$1701 = 4000 − 70x

70x = 2999

x = 32.84 ≈ 33 weeks

c) In 15 weeks the amount will be =

y = 4000 - 70(15)

= $2950

Hence, the answers are a)  y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950

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The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you​ need?

Answers

Answer:

970.2

28x11x6.3

1,940.4/2

970.2

Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7. x = 3 y squared minus 7 On a coordinate plane, a graph curves up, then curves down, and then curves up again.

Answers

Answer:The answer is D the last one.

Answer:

D on edu

Step-by-step explanation:

Zack needs $299.99 to buy the new bike he wants. He has saved $150 so far toward the new bike. From this week on, he will save $12.50 per week toward the new bike. Ten weeks from now, how much more money will he still need to save to buy the bike?
$24.99
$29.99
$127.49
$137.49

Answers

Answer:

The answer is $24.99

The solution is Option A.

The equation of line is y = 12.5x + 150 , where x is the number of weeks

The amount Zack needs after 10 weeks to buy the bike is $ 24.99

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The price of the bike Zack needs to buy = $ 299.99

The initial amount with Zack = $ 150

The amount Zack saves in a week = $ 12.50

The number of weeks = x

The amount Zack saves in x weeks = 12.5x

So , the total amount with Zack after x week is given by the equation ,

Total amount with Zack after x week y = amount Zack saves in x weeks + initial amount with Zack

Substituting the values in the equation , we get

Total amount with Zack after x week y = 12.5x + 150

Now , after 10 weeks , the amount with Zack is

Substitute the value of x as 10 in the equation , we get

y = 12.5x + 150

y = 12.5 ( 10 ) + 150

y = 125 + 150

y = $ 275

Now , the amount left to buy the bike =  price of the bike Zack needs to buy - amount with Zack after 10 weeks

Substituting the values in the equation , we get

Amount left to buy the bike A = $ 299.99 - $ 275

Amount left to buy the bike A = $ 24.99

Therefore , the value of A is $ 24.99

Hence , the amount Zack needs is $ 24.99

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The town of Haverford just bought land to make a new park. The land is in the shape of a rectangle that is 2/3 of a mile wide and 3/4 of a mile long.

What is the area, in square miles, of the land the town of Haverford bought?

A 5/12

B 6/12

C 8/9

D 6

Answers

Answer:

B 6/12

Step-by-step explanation:

The first step is to set up your fraction like so:  [tex]\frac{2}{3} x \frac{3}{4}[/tex]

Next you will multiply across the top 2·3=6 (this will become your numerator)

Then you will multiply across the bottom 3·4=12(this will become your denominator)

if asked it can be simplified to 1/2 if not your final equation will look like:

[tex]\frac{2}{3} x \frac{3}{4} = \frac{6}{12}[/tex]

Josh paid for four books with three $20 bills he received $12 in change each book was the same price how much did each book cost

Answers

Three $20 bills is a total of $60

$60 - $12 = $48

He spent a total of $48 on the books

Divide the total spent by the number of books:

48 / 3 = 16

Each book cost $16

Answer:$12 per book

Step-by-step explanation: $20 x 3= $60

If you have $12 change you minus that from the $60

Now that is $48 for 4 books.

To work out one book you do $48/4 which is $12 per book.

please help with numbers 5 and 6

Answers

The answer of question no 5 is 46

The answer of question no 6 is 79

Look at the attached picture

Hope it will help you

Complete the statement: 0.6L =______mL.

A. 600

B. 0.06

Answers

Answer: Complete the statement: 0.6L =______mL.

A. 600

600 is correct I got chu

A rectangular painting canvas has the dimensions of 22 by 23 inches. Find the area, in square inches, of the painting. Use the formula, area = length * width

Answers

Answer:

506 square inches

Step-by-step explanation:

length=22 inches

breadth=23 inches

area=length *breadth

area=22*23=506 squareinches

Answer:

506 inches

Step-by-step explanation:

22 times 23 equals 506 inches.

100 points and brainliest A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. There are 25 students who did not learn baseball but learned basketball, and 8 students did not learn either baseball or basketball. Which table best shows the conditional relative frequency of rows for the data? Learn baseball Do not learn baseball Total Learn basketball 0.36 0.21 1 Do not learn basketball 0.36 0.07 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.5 0.76 1 Do not learn basketball 0.5 0.24 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.63 0.37 1 Do not learn basketball 0.84 0.16 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.42 0.25 1 Do not learn basketball 0.42 0.80 1 Total 0.84 0.33 1

Answers

Answer: The answer is C. C in your given options.

                                   

Step-by-step explanation:

 Learn baseball    Do not learn baseball      Total

Learn basketball                    0.63                        0.37                             1

Do not learn basketball        0.84                         0.16                             1

Total                                       0.72                         0.28                             1

Answer:

C

Step-by-step explanation:

Learn baseball    Do not learn baseball      Total

Learn basketball                    0.63                        0.37                            

Do not learn basketball        0.84                         0.16                            

Total                                       0.72                         0.28                            

Hope this helps!

Please answer The attachment correctly below.

Answers

Answer:

$55

Step-by-step explanation:

do PEMDAS

do parenthesis first

then multiply

6.75 plus 4.25 is 11

multiply 11 by 5

HELP!!! 2(4x+3)=x+1 It's geometry!

Answers

Answer:

[tex]x=-\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]2(4x+3)=x+1[/tex]

[tex]8x+6=x+1[/tex]

[tex]8x-x=1-6[/tex]

[tex]7x=-5[/tex]

[tex]x=\frac{-5}{7}[/tex]

Answer:

x = -5/7

Step-by-step explanation:

2(4x+3)=x+1

Distribute

8x +6 = x+1

Subtract x from each side

8x+6-x = x+1-x

7x+6 = 1

Subtract 6 from each side

7x+6-6 = 1-6

7x =-5

Divide each side by 7

7x/7 = -5/7

x = -5/7

Solve the equation using square roots.

[tex]3x^{2} -12=0[/tex]

Answers

Answer:

x = 2, x = - 2

Step-by-step explanation:

3x² - 12 = 0

3x² = 12

x²= 12/3

x²= 4

√x² = +/- √4

x = +/- 2

x = 2, x = -2

ANSWERR ASAPP
the directions on a lawn mower manual call for a mixture of oil and gasoline that is 60% oil. the tank holds 12 gallons. how many gallons will be oil?
A. 7.2 gallons
b. 5.8 gallons
c. 6.8 gallons
d. 5 gallons

Answers

The answer is 7.2, if you multiply 12 by .6 you get 7.2
Well I may not be the best at math but percentages aren’t too hard once brought down to a 0.01 scale. 60% of 12 is 7.2

Factor 64 – x15. (4 – x3)(16 + 4x3 + x3) (4 – x3)(16 + 4x3 + x6) (4 – x5)(16 + 4x5 + x5) (4 – x5)(16 + 4x5 + x10)

Answers

Answer:

D :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Read the following paragraph. How does sentence 4 develop the main idea of the paragraph?

Gertrude Belle Elion was born on Jan. 23, 1918, in New York City.
She graduated from Hunter College in New York City with a degree in biochemistry in 1937.
Unable to obtain a graduate research position because she was a woman, she took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist.
During this time she also took classes at New York University, where she earned a master's degree in 1941.
Because she could not devote herself to full-time studies, Elion never received a doctorate.
This sentence tells readers where she went to school for her doctorate degree.
This sentence shows Elion's determination and commitment to learn.
This sentence shows that Elion had to try many schools to get accepted into one.
This sentence proves the idea that Elion had to learn biochemistry in unusual ways.

Answers

Answer:

This sentence shows Elion's determination and commitment to learn.

Step-by-step explanation:

During this time she also took classes at New York University, where she earned a master's degree in 1941.

The way in which sentence 4 assists in developing the key idea of the paragraph would be:

B). This sentence shows Elion's determination and commitment to learn.

The key idea that the given paragraph aims to convey is a brief biography of Belle Elion to the readers, especially, her early life.Sentence 4 in the given paragraph aims to advance this idea by displaying the strength, dedication, and determination that she put towards learning.This helps the readers understand her character sketch more clearly and effectively.

Thus, option B is the correct answer.

Learn more about "Main Idea" here:

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Whats the greatest number of cross sections?

Answers

I believe the answer is B.3
The answer is A, 3. You can do it vertically 2 ways and one horizontal.

1_____=1.6_____ What

Answers

Answer:

1 mile is 1.6 km

Step-by-step explanation:

I don't know how to explain

Ms. Weston bought a watermelon that weighed 32ounces. She also bought an orange that was 1/4 the weight of the watermelon.

How many total pounds of fruit did she buy?

A: 1/2

B: 2 1/2

C: 8

D:56

Answers

Answer:

B is the correct answer

Step-by-step explanation:

Dimensional Analysis

Direct Variation: If y = 6, when x = -2, find y when x = 18.

Answers

Answer:

The answer is -54. Please mark as brainliest :)

Step-by-step explanation:

Y is directly proportional to x. So....

Finding the value of constant k.

y=kx

6=-2k

-3=k.

Finding y when x is 18

y=-3*18

y=-54.

192 € down by a quarter?​

Answers

Answer:

144 €

Step-by-step explanation:

If you begin with 192 € and these funds decline (go down) by a quarter, you'll end up with

(1.00 - 0.25)(192 €) = 144 €

The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quarts did the athlete consume? B) how many pints of water did the athlete consume?

Answers

16x7 = 112 (16 ounces, 7 hours) 112 ounces to pints = 7 pints of water

When the athlete drink 16 ounces of water every two hours for the next 14 hours,

(A) The athlete consumes 3.5 quartz of water.

(B) The athlete consumes 7 pints of water.

Conversions(1) Ounce to Pints

16 ounces = 1 pint

(2) Quarts to Ounces

1 quart = 32 ounces.

(A) Calculation for the water consumed by athlete in quarts:

The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.

The total number of times the water consumed by athlete is 14/2 = 7.

Covert the 16 ounces of water in quarts

= 16/ 32

=1/2

The total quantity of water consumed in quarts is

= 7×(1/2)

= 3.5 quarts

Thus, the amount of water consumed by athlete in entire 14 hours is 3.5 quarts.

(B) Calculation for the water consumed by athlete in pints:

The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.

The total number of times the water consumed by athlete is 14/2 = 7.

Convert 16 ounce of water into pint

= 16/16

= 1

The total quantity of water consumed in pints is

= 7×1

= 7

Thus, the amount of water consumed by athlete in entire 14 hours is 7 pints.

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Solve the system of equations.

x + 3y = −1
2x + 2y = 6


(−4, 1)

(2, −1)

(4, −1)

(5, −2)

Answers

Answer:

(5,-2)

Step-by-step explanation:

Multiplying the first equation by 2 we get

2x+6y=-2

Subtracting the second equation we get

4y=-8

y=-2

Plugging y as -2 into the equation we get x=5

Answer:

(5, -2)

Step-by-step explanation:

x + 3y = −1  

2x + 2y = 6 ⇒ x+y=3

Subtract second equation from the first one:

x+3y=-1x+y=33y-y= -1 -32y= -4y= -2x= 3+2= 5
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First, I want to congratulate our town's mayor and city council for planning to build a new community theater. However, do they realize that building the theater on Asbury Woodlands will destroy the prime breeding ground for an endangered species?The Bachman's warbler is a small bird about four inches in length. This green-backed bird has a bright yellow belly and face and is sometimes confused with the similarly colored hooded warbler.Since 1897, the population of the Bachman's warbler has decreased from over 500,000 to fewer than 100 in North Carolina. The main reason is the destruction of the areas (like Asbury Woodlands) that it uses for its natural breeding grounds. Bachman's warblers prefer thickly wooded swamps and wet thickets in heavy, full-grown forests where they can build their nests and feed on insects.This does not mean that we cannot build a community theater. A similar situation recently arose in Cape Pristo, North Carolina. Nobel Hotels canceled its plans to build a high-rise structure when it became known that the roseate tern, another endangered bird, was living in the suggested location. Nobel Hotels put up a new building several miles down the beach from the original location, and the roseate tern kept its habitat.Our community has forever prided itself on caring for our natural surroundings. The city council has promised that the proposed theater will be "highly tasteful" and that the structure will "complement the spirit of our town."The city council's honorable concern for the endangered Bachman's warbler would smooth the feathers of many voters. With their help and the support of our townspeople, future generations will appreciate the beauty of this little bird.Sincerely,Redmond HarrisA.) The author offers additional information to the readers by comparing the community theater to the Nobel Hotels.B.) The author restates his claim that the building plan would destroy the breeding ground for the Bachman's warbler.C.) The author suggests that a better solution would be to build a Nobel Hotel as did Cape Pristo, North Carolina.D.) The author uses an example to point out how an alternative could satisfy both sides of the argument. In the covalent compound C3H8 the Greek prefix used to represent the cation is? what is the theme for the boy in the striped pajamas for ONLY CHAPTER 15 Gamma radiation can be significantly reduced byA sheet of paperAirA 3 mm thickness of aluminiumSeveral cm of lead What is true of the function g(x) = 2x2 + 5? g(x) is the multiplication of g and x. 2x2 +5 is the input of the function. The variable x represents the independent variable. The variable g represents the input of the function. 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