solve for a
(log(a-1))^2 =log10

Answers

Answer 1

A function assigns the values. The value a is 11.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The given logarithmic function can be solved as shown below.

[tex](\log(a-1))^2 =\log10\\\\(\log(a-1))^2 =1\\\\(\log(a-1)) =\sqrt1\\\\\log(a-1) = 1\\\\10^1 = a-1\\\\a = 11[/tex]

Hence, the value a is 11.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1


Related Questions

If a household is saving 30% of their total bi-weekly gross pay of $2,051.00, determine how many months it will take to save a 20% down payment and 1.5% for closing costs for a property with a purchase price of $281,700.00.
45

46

54

55

(25 POINTS)

Answers

Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.

How long will it take for the family to save the amount?

First, find out the amount saved per month:

= (30% x 2,051) x 2 payments a month

= $1,230.60

The downpayment is:

= 281,700 x 20%

= $56,340

The closing cost is:

= 1.15 x 56,230

= $843.45

The number of months till the amount is saved is:

= (56,340 + 843.45) / 1,230.60

= 46 months

Find out more on mortgage downpayments at https://brainly.com/question/9893085.

#SPJ1

The driving distance from Seattle to Portland is 175 miles. Your car gets 25 miles per gallon. If gasoline is $2.80 per gallon, how much will the round trip from Seattle to Portland and back cost in dollars?

Answers

Answer:

$980

Step-by-step explanation:

Given the cost of gasoline = $2.80/mile

Total Distance = 175miles x 2 (Back and forth)

= 350 miles

Total Cost = Cost of gasoline x Total Distance =

= $2.80 x 350

= $980

The total cost of the trip from Seattle to Portland and back cost in dollars will be;

⇒ $250

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The driving distance from Seattle to Portland is 175 miles.

Your car gets 25 miles per gallon and the cost of gasoline is $2.80 per gallon.

Now,

Since, The driving distance from Seattle to Portland is 175 miles.

Hence, The total distance from Seattle to Portland and back = 175 + 175

                                                                                            = 350 miles

And, Your car gets 25 miles per gallon and the cost of gasoline is $2.80 per gallon.

Hence, The cost of gallon = 350/25 x $2.50

                                        = 100 x $2.50

                                        = $250

Thus, The total cost of the trip from Seattle to Portland and back cost in dollars will be;

⇒ $250

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative change from last year to this year?
(Express your answer rounded correctly to the nearest tenth of a percent!)

Answers

A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.

Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,

Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%

Hence, the relative change from last year to this year is 3.7%.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ1

Which expression is equivalent to the given expression? 2√/20-4√6
A. 32/30
OB. 16√30
OC. 3/20
D. √120

Answers

Answer:

D.

because 2 times 120 reduced.

Complete the following statement of congruence:
A. TRS
B. RTS
C. STR
D. RST

Answers

Answer:

B. △RTS

Step-by-step explanation:

△MON ≅ △RTS

Point A is at (3, 2.6) and Point B is at (3, 1.4) on a coordinate grid. The distance between the two points is

Answers

Answer:

oma cursos online gratis de chino para aprender a hablar y escribir en este idioma. Aprende chino con cursos de las mejores universidades en edX.

Step-by-step explanation:

What’s the answer ?

Answers

Answer:

a ) cylinder

b) triangular pyramid

5 hundreds minus 4 tens?*​

Answers

Answer:

460

Step-by-step explanation:

4 tens is equivalent to 40, so 500-40 is = to 460.

Hope this helps! :D

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\large \boxed { \large \sf \green{460}}[/tex]

[tex]\large \bold {SOLUTION}[/tex]

5 hundreds is 5 multiplied by 100, so it equals 500. 4 tens is 4 times 10, so 40.

500 - 40 = 460

So 5 hundreds minus 4 tens is 460.

A restaurant will select 1 card from a bowl to win a free lunch, jimmy puts 10 cards in the bowl. The bowl has a total of 150 cards in it when they do the drawing. what are the odds of jimmy winning a free lunch

Answers

The odds of jimmy winning a free lunch is 0.066.

What is Probability ?

Probability is the likeliness of an event to happen.

It is given that

A restaurant will select 1 card from a bowl to win a free lunch,

jimmy puts 10 cards in the bowl.

The bowl has a total of 150 cards in it

The odds of jimmy winning a free lunch is given by

= No. of chances / Total Outcomes

= 10/150

= 1/15

= 0.066

Therefore the odds of jimmy winning a free lunch is 0.066.

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

1/1

The graphs below have the same shapes. What is the equation for the red graph?

Answers

The equation for the red graph is f(x)=-x^2.

The question is an incomplete graph of a function is missing

For a complete question refer to the graph attached below

we have [tex]g(x)=4-x^2[/tex]

The vertex of the function g(x) is the point (0,4)

The vertex of the function f(x) is the point (0,0)

What is the vertex?

This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.

So, the rule of the translation of g(x) to f(x) is

(x,y)------> (x,y-4)

The translation is 4 units down

The equation of the function f(x) is

[tex]f(x)=g(x)-4[/tex]

[tex]f(x)=(4-x^2)-4[/tex]

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

Therefore, The answer is f(x)=-x^2

To learn more about the graph visit:

https://brainly.com/question/4025726

#SPJ1

Select the correct answer from each drop-down menu. y 11 10 Weight (kilograms) 9 00 7 CO 5 3 2 1 5 6 7 Age (months) The scatter plot shows the weight of a child each month. 1 rights reserved 2 3 4 The birth weight of the child is V X 8 9 10 11 kilograms. The child gains an average of per month. Select the correct answer from each drop - down menu . y 11 10 Weight ( kilograms ) 9 00 7 CO 5 3 2 1 5 6 7 Age ( months ) The scatter plot shows the weight of a child each month . 1 rights reserved 2 3 4 The birth weight of the child is (blank) kilograms . The child gains an average of(blank) per month .​

Answers

Answer:

its wrong answer and question

3x + 4 divided by 2 = 9.5

Answers

2.5 is your answer because first we divide the numbers then subtract 2 from both sides and simplify

Answer:

2.5

Step-by-step explanation:

First divide 4 by 2

Second, you want x on a side by itself. So you would move 2 over to 9.5. But since 2 is positive, you would subtract 2 from 9.5

Third, you need to get x by itself. So you would divide by 3 on both sides because division cancels out multiplication which is what 3x is. And then you end up with 2.5

3x + 4 / 2 = 9.5

3x + 2 = 9.5

3x = 7.5

3x/3 = 905/3

x = 2.5

And if you want to check it, just substitute 2.5 for x

3(2.5) + 4 / 2 = 9.5

7.5 + 4 / 2 = 9.5

7.5 + 2 = 9.5

9.5 = 9.5

The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below.


On a coordinate plane, 2 lines intersect at (1, negative three-fourths).

Answers

The solution of the system of equations is (1, -3/4)

How to solve the system of equations?

Here we have the system of equations:

y = (1/4)*x - 1

y = -(1/2)*x - 1/4

To solve it, we use the fact that the variable "y" is the same in both equations, then we can write:

(1/4)*x - 1 = -(1/2)*x - 1/4

Now we can solve that for x:

(1/4)*x - 1 = -(1/2)*x - 1/4

(1/4)*x + (1/2)*x = 1 - 1/4

(1/4)*x + (2/4)*x =  1 - 1/4

(3/4)*x = 3/4

x = 1

To get the y-value of the solution, we just evaluate x = 1 in any of the two given lines, using the first one:

y =  (1/4)*(1) - 1 = -3/4

So the solution is (1, -3/4)

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Evaluate and simplify the expression when a=4 and b=-1 5 - 2(a + 3b)/2

Answers

Answer:

4

Step-by-step explanation:

We know that [tex]a = 4[/tex] and [tex]b = -1[/tex], as they are given in the problem. All we have to do is plug them into the equation and solve it.

[tex]5 - 2(a + 3b)/2\\ = 5 - 2(4 -3)/2\\= 5 - 1\\= 4[/tex]

Darrel divided 8,675 by 87. His work is shown below
Which answer choice correctly identifies the error Darrel made when dividing?
a b c or d?

Answers

C. He forgot to place a zero in the quotient.

see attachment:

Which rational number is equivalent to 5.5?

Answers

Answer:

11/2

Step-by-step explanation:

Multiply by 2/2 to remove the decimal.

5.5 can be written as 5 1/2 or 55/10 or 11/2

If m∠1 = 72º, then find the value of m∠2. vertical angles

Answers

If the angle 1 and angle 2 are vertical angles, hence they must be equal to each other, therefore m∠1 = m∠2 = 72º

What are vertical angles?

Angles angle are angles that are equal to equal to each other in a line geometry.

Given the following parameters

m∠1 = 72º,

If the angle 1 and angle 2 are vertical angles, hence they must be equal to each other, therefore m∠1 = m∠2 = 72º

Learn more on vertical angles here; https://brainly.com/question/1673457

#SPJ1

how do you simplify

−(12st3+34s3t+t2−1)

Answers

Answer:

-34s^3t - 12st^3 - t^2 + 1

Step-by-step explanation:

hope this helps

please answer just look at how many points i will give

Answers

Answer:

(6,2)

Step-by-step explanation:

When solving a system of simultaneous equations, we want to see where the graphs intersect.

2x+5y =22 is the red line

x+y = 8 is the green line

They intersect at a point

The point is x=6   y=2

(6,2)

The standard deviation for a set of data is 9.5. The mean is 205.

What is the margin of error?

Answers

If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.

Margin of error

Using this formula

Margin of error=Standard deviation×Mean

Let plug in the formula

Margin of error=205 × 9.5%

Margin of error = 19.475

Margin of error = 19.5 (Approximately)

Therefore If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.

Learn more about margin of error here:https://brainly.com/question/14420824

#SPJ1

Which set of values could be the side lengths of a 30-60-90 triangle?

Answers

Answer is B.

Step-by-step explanation:

Since we know that in 30-60-90 triangle, the side corresponding to angle 90 degrees is two times the length of side corresponding to 30 degree angle. The length of side corresponding to 60 degree angle is  times the length corresponding to 30 degree angle.

We can see from our given choices that the side corresponding to 30 degree angle is 5 units.  

Therefore, the side lengths of a 30-60-90 triangle will be  and option B is the correct choice.  





PLS MARK ME AS BRAINLIEST.

graph x=4y , x+y=7.0

Answers

Answer:

First find the x and y intercepts. Recall that intercepts intersect the x and y axis of a graph, therefore either the x or y value of a coordinate point must be 0 in order for it to be an intercept.

After you find the intercept, plot the them on the cartesian coordinate system and draw a straight line (it’s a linear equation) going through the two intercepts.

Side note: Not sure how credentials work on Quora yet. I meant to say I am a student

The equation of the lines can be plotted on the graph after calculating the coordinates on each line.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two linear equation:

x = 4y  

x + y = 7.0

To plot the linear equation first we will find the few coordinates to plot on the coordinate plane.

For the equation of line:

x = 4y

x 0 1 2 3 -1 -2 -3

y 0 4 8 12 -4 -8 -12

For the equation of line:

x + y = 7.0

x 0 1 2 3 -1 -2 -3

y 7 6 5 4 8 9 10

Thus, the equation of the lines can be plotted on the graph after calculating the coordinates on each line.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Find area bounded between y=x^2 and y=-(x+2)^2+4

Answers

By applying definite integrals and integration rules, the area bounded between the curves f(x) = x² and g(x) = -(x+2)² + 4 is equal to 8 square units.

How to determine the between the two integrals

The points of intersection between the two curves are (x, y) = (0, 0) and (x, y) = (-2, 4). The curve is f(x) = x² and upper curve is g(x) = -(x+2)² + 4. The area between the two curves is defined by this definite integral:

[tex]A = \int\limits^{0}_{-2} {f(x) - g(x)} \, dx[/tex]

[tex]A = \int\limits^{0}_{-2} {f(x)} \, dx - \int\limits^{0}_{-2} {g(x)} \, dx[/tex]

[tex]A = \int\limits^0_{-2} {[-(x+2)^{2}+4]} \, dx -\int\limits^0_{-2} {x^{2}} \, dx[/tex]

[tex]A = -\frac{(x+2)^{3}}{3}|_{-2}^{0} + 4\cdot x|_{-2}^{0}-\frac{x^{3}}{3}|_{-2}^{0}[/tex]

[tex]A = - \frac{2^{3}}{3} + 0 + 4\cdot [0 - (-2)] - 0 + \frac{(-2)^{3}}{3}[/tex]

[tex]A = -\frac{8}{3} + 8 -\frac{8}{3}[/tex]

A = 8

By applying definite integrals and integration rules, the area bounded between the curves f(x) = x² and g(x) = -(x+2)² + 4 is equal to 8 square units.

To learn more on definite integrals: https://brainly.com/question/14279102

#SPJ1

Given 4 c 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c 5 not-equals 0 0 1 startfraction 1 over 4 c 5 end fraction startfraction 1 over 4 c endfraction 5

Answers

The multiplicative inverse of the expression 4c + 5 is 1/(4c + 5)

Complete question

Given 4c + 5 ≠ 0 and c is a real number, what is the multiplicative inverse of 4c + 5

How to determine the multiplicative inverse?

The expression is given as:

4c + 5

The multiplicative inverse of an expression x is 1/x

This means that:

The multiplicative inverse of the expression 4c + 5 is 1/(4c + 5)

Read more about multiplicative inverse at:

https://brainly.com/question/1682347

#SPJ1

What is the inverse of the function f(x) = 2x + 1?

Answers

Answer:

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

Step-by-step explanation:

if the initial function is f(x)=2x+1, then

x=2*h(x)+1;

2h(x)=x-1;

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

PS. change design according the local requirements.

Answer:

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

Step-by-step explanation:

To find the inverse, you want to swap the inputs with the outputs, which is why you have the swapped domain and range between a function and its range.

So, given f(x)=2x+1, its inverse would give,

x=2y+1.

Solve for y,

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

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

a water tank is empty. Anil needs to fill the tank with 2400 litres of eater

Answers

Answer:

2400 liters in tank

Step-by-step explanation:

Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

What is the meaning of rate?

Rate is the ratio of quantity to time.

[tex]RATE = \frac{QUANTITY}{TIME}[/tex].

How to solve the question?

In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

For Company A:

The capacity of the tank = 2400 liters

Rate = 8 liters in 1 minute and 40 seconds

Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute

Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.

Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.

For Company B:

The capacity of the tank = 2400 liters.

We know 1 gallon = 4.54 liters,

or, 1/4.54 gallons = 1 liter.

Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.

Rate = 2.2 gallons per minute.

Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.

Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.

The given question is an incomplete question. The complete question is:

"A water tank is empty.

Anil needs to fill the tank with 2400 liters of water.

Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.

Company B supplies water at a rate of 2.2 gallons per minute.

1 gallon = 4.54 liters.

Company A would take more time to fill the tank than Company B would take to fill the tank.

How much more time?

Give your answer in minutes correct to the nearest minute."

Learn more about the conversion of liters and gallons at

https://brainly.com/question/21663631

#SPJ2

Find the domain of the function y = 3 tan(2/3x)

Answers

Answer:

{x∈R | [tex]\frac{2x}{3\pi } +\frac{1}{2}[/tex], x∉Z}

Step-by-step explanation:

Given the function y=3tan(2/3x)

We know that tangent is a function that's continuous within it's domain but not continuous on all real numbers

Also, the roots of y=3tan(2/3x) is [tex]3\pi n/2[/tex] where n is an integer

Note that the domain of the function cannot be within [tex]3\pi n/2[/tex]

Therefore, {x∈R | [tex]\frac{2x}{3\pi } +\frac{1}{2}[/tex], x∉Z}

Which equation is made true by the opposite angles theorem? A. 40 − 2x = 85 + y B. x − 8 = 40 − 2x C. x − 8 = 3y − 15 D. 3y − 15 = 85 + y

Answers

Option B. x-8 = 40-2x is the correct equation for the opposite angle theorem.

According to the Opposite angles theorem,

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.


[tex]= > x-8=40-2x[/tex] ( : Because opposite vertex angles are equal)

So option B is correct in the given question

Learn more about opposite angle theorem on:

https://brainly.ph/question/26594949

#SPJ10

Answer:

D.) 3y-15 =85+

Step-by-step explanation:

simply put, opposite angles theorem is where the angles are on the opposite side so the parallelogram in the photo shows that 3y-15 is on the opposite angle as 85+y (I also got this one right lol)

if x=-2 solve 4x^3-6x^2+x-1​

Answers

Answer:

-59

Step-by-step explanation:

x = -2

4(-2)³ - 6(-2)² + (-2) - 1

= -32 - 24 - 2 - 1

= - 59

What the person above said is correct

he following stem-and-leaf plot represents the test scores for 26 students in a class on their most recent test. Use the data provided to find the quartiles.

Test Scores by Student
Stem Leaves
6 2 4 4 6 7 9
7 1 2 4 7 8
8 4 4 5 5 6 7 7 8
9 0 0 1 3 4 7 8
Key: 6|2=62

Step 1 of 3 : Find the second quartile.

Answers

Considering the given stem-and-left plot, the median = second quaritle of the data set is of 84.5.

What is the median of a data-set?

The median of a data-set is the 50th percentile, that is, the value that separates the bottom 50% of scores from the upper 50% of scores.

This data-set has even cardinality of 26, hence the median is the mean of the 13th and 14th scores, which, considering the key for the stem-and-leaf plot, are 84 and 85, hence:

Me = (84 + 85)/2 = 84.5.

More can be learned about the median of a data-set at https://brainly.com/question/23923146

#SPJ1

Other Questions
Judy's Boutique just paid an annual dividend of $2.35 on its common stock. The firm increases its dividend by 3.15 percent annually. What is the company's cost of equity if the current stock price is $38.44 per share As the story opens, Paul is most upset by memories of --Billy Boy's deathhis parentshis training in dealing with couragean old song If you bought a stock last year for a price of $103, and it has risen 13.5% since then, how much is the stock worth now, to the nearest cent? sara scores -4 marks if she got 3 correct answers how many were incorrect What was a criticism of the USA Patriot Act when It was first enacted?A. It did not do enough to protect citizens through the use of government Intelligence gathering.B.it went too far in allowing the government to gather intelligence on private conversations of US citizens.C. It created too many agencies under one umbrella, which would exacerbate rather than amellorate the issues Identified.D.It eliminated the Independent authority of the Federal Bureau of Investigation by bringing it under the act's authority. 12. For which of the following quadratic equations are the roots 2 and 57O A. x-3x - 10=0B. x - 11x 10 = 0c. x - 7x + 10 = 0D. x + 7x-10=0OOO Question 1Kapoor Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products. Activity Cost Pools Activity RateSetting up batches $86.50 per batchAssembling products $4.63 per assembly hourProcessing customer orders $52.16 per customer orderData concerning two products appear below: Product J00A Product S06UNumber of batches 34 43Number of assembly hours 105 812Number of customer orders 17 32Required: a. How much overhead cost would be assigned to Product J00A using the company's activity-based costing system? b. How much overhead cost would be assigned to Product S06U using the company's activity-based costing system?Overhead Cost:There are some expenses incurred at the time of manufacturing of products and services that are not directly attributable to the finished products. These expenses are known as manufacturing overheads or indirect expenses. Why are arthropodes the most diverse group I need help answering these questions for geometry :)1. What happens to the measure of the interior angles as the number of sides of the polygon increases? Explain your answer.2.What happens to the measure of the exterior angles as the number of sides of the polygon increases? Explain your answer.4. Explain what happens to the total sum of interior angles as the number of sides in the polygon changes.5. Explain what happens to the total sum of exterior angles as the number of sides in the polygon changes. What remainder is represented by the synthetic division below?A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0. Your client submits an application to rent a condo unit. He has excellent credit and has had the same job for a long time. He uses a cane to help with his mobility. When his application is rejected, he feels it's due to his disability. He is protected under what federal law Question 3The Minority Leader is elected by the political party with the second most Senators.A) TrueB) False Education required for an animator When did China's earliest civilization originate? completa las siguientes comparaciones entre el todo y sus partes guantes es a mano comotienda es a producto comopagina es a cuaderno como mina es a pluma comoliquido es a vaso como it______(still rain) Who saved the Israelites from the Egyptian Which details from Nameless, Tennessee by William Least Heat Moon show that the residents lives are simple but meaningful? When given Slope= -6/5Y-intercept= 2 What is this in Point-Slope form? Describe graham's law. hydrogen chloride gas (hcl) diffuses 1.8 times faster than an unknown gas. determine the molar mass of the unknown gas. show your work or explain your answer, giving specific values used to determine the answer.