if log x - log(2x-1)=1 find x​

Answers

Answer 1

Answer:

x = 10/19

Step-by-step explanation:

[tex]log(x)-log(2x-1) = 1\\log\frac{x}{2x-1}=log(10)\\\frac{x}{2x-1}=10\\x = \frac{10}{19}[/tex]

Answer 2

The solution to the equation log x - log(2x-1) = 1 is x = 10/19.

We have,

To solve the equation log x - log(2x-1) = 1, we can use logarithmic properties to simplify the equation.

First, we can apply the quotient rule of logarithms, which states that

log a - log b = log(a/b).

Applying this rule to the equation, we get:

log(x / (2x-1)) = 1

Next, we can rewrite the equation in exponential form, using the definition that log base a of b is equivalent to a raised to the power of the logarithm equals b.

In this case, the base is 10 since we are using common logarithms (log base 10):

[tex]10^1[/tex] = x / (2x-1)

Simplifying the left side, we have:

10 = x / (2x-1)

To eliminate the denominator, we can multiply both sides of the equation by (2x-1):

10(2x-1) = x

Expanding the left side:

20x - 10 = x

Now, we can isolate the variable x:

20x - x = 10

19x = 10

Dividing both sides by 19:

x = 10/19

Therefore,

The solution to the equation log x - log(2x-1) = 1 is x = 10/19.

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Related Questions

Simplify this expression:
-2x+3 - (5 - 6x).

Answers

-2x+3 - (5 - 6x)

pretend that there is a -1 in front of the bracket

mutiply the bracket by -1

(-1)(5)=-5

(-1)(-6x)= 6x

-2x+3-5+6x

-2x+6x+3-5 ( combine like terms)

Answer: 4x-2

Answer:

4x-2 for plato

Step-by-step explanation:

the guy above is correct so give him brainliest, im just supporting the fact that hes correct and i got a 100% on my plato quiz from him.

Evaluate the expression when k=-4
|k-2 • |3k|,- 1
a. 72
b. 71
c. 66
d. -73

Answers

The value of the expression | (k - 2) × (3k) | - 1 at k = -4 will be 71. Then the correct option is B.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ | (k - 2) × (3k) | - 1

The value of the expression at k = -4 will be

⇒ | (-4 - 2) × 3 × -4 | - 1

⇒ | (- 6) × (-12)| - 1

⇒ | 72 | - 1

⇒ 72 - 1

⇒ 71

The value of the expression | (k - 2) × (3k) | - 1 at k = -4 will be 71. Then the correct option is B.

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What is the unit form for 10 x 3tens

Answers

Answer:

3 hundreds

Step-by-step explanation:

10*3*10=300

unit for is 3 hundreds standard form is 300

3 hundreds hopefully this is what u wanted

How many tens make the number 600

Answers

Answer:

60

Step-by-step explanation:

60*10=600

Answer:

[tex]60[/tex]

Step-by-step explanation:

Simple. Tens represent the value as 10

If we have more than one zero, as in two for example.

The number is in the hundreds place.

Then just multiply the different number by the 10 value

100 * 6 = 600

It is sixty tens

Combine like terms to create an equivalent expression . Make sure to simplify coefficients and constants as well. - 6/5 - 2/3 * v + 4/15 + 1/3 * v

Help please

Answers

Answer:

the answer is -1/3v-14/15

-1/3v -14/15 is the required solution for combine like terms to create an equivalent expression to  - 6/5 - 2/3 * v + 4/15 + 1/3 * v.

Given that,

To combine like terms to create an equivalent expression and to Make sure to simplify coefficients and constants as well,
- 6/5 - 2/3 * v + 4/15 + 1/3 * v

What is an algebraic expression?

The algebraic expression consists of constant and variable. eg x, y, z etc.

Here,


= - 6/5 - 2/3 * v + 4/15 + 1/3 * v


In the above expression, -2/3 and 1/3 is the coefficient and -6/5 and -2/3 is constant while adding like termes the coefficient combines with coefficient and constant with constant.


= -2/3v + 1/3v -6/5 + 4/15
= -1/3v -14/15

Thus, -1/3v -14/15 is the required solution for combine like terms to create an equivalent expression to  - 6/5 - 2/3 * v + 4/15 + 1/3 * v.

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Find the side length s of the square.
Area = 441 cm
S=
cm

Answers

[tex]\huge\boxed{\text{21 cm}}[/tex]

The area of a square is equal to the square of its side length. [tex]A=s^2[/tex]

Substitute in the known variable. [tex]441=s^2[/tex]

Now, find the square root of each side of the equation. [tex]\sqrt{441}=s[/tex]

Find the square root of [tex]441[/tex]. [tex]\boxed{21}=s[/tex]

Help with this math homework

Answers

Answer:

5.    2

6.    51

7.     X

Answer

For 5, the answer is 3

Step-by-step explanation:

Fibonacci Sequence: Start at 1

1+0=1

1+1=2

1+2=3

3+2=5

etc.

Write cos(arcsin3x +arccos x) as an algebraic expression of x that does not involve trigonometric functions.

Answers

Answer:

[tex]x \sqrt{1-9x^2} -3x \sqrt{1-x^2}[/tex]

Step-by-step explanation:

Since we have to analyze the cosine of an addition of angles, let's recall that cos of an addition is:

[tex]cos (\alpha +\beta ) = cos(\alpha ) cos(\beta) - sin(\alpha) sin(\beta)[/tex]

Let's also use those Greek letters [tex]\alpha[/tex] and [tex]\alpha[/tex] to represent the inverse functions we are dealing with:

[tex]\alpha =arcsin(3x)[/tex] and therefore, [tex]sin(\alpha ) = 3x[/tex]

[tex]\beta =arccos(x)[/tex] and therefore [tex]cos(\beta ) = x[/tex]

Now use these identities to re-write the equation for the cos of an addition given above:

[tex]cos (\alpha +\beta ) = cos(\alpha ) cos(\beta) - sin(\alpha) sin(\beta)\\cos (\alpha +\beta ) = cos(\alpha ) x - 3x sin(\beta )[/tex]

Now recall that the sine of an angle can be written in terms of the cos of the same angle via the Pythagorean identity: [tex]sin(\beta ) = \sqrt{1-cos^2(\beta) }[/tex]

In our case, and with our particular values, this gives:

[tex]sin(\beta ) = \sqrt{1-cos^2(\beta)} = \sqrt{1-x^2}[/tex]

Similarly we can write the cos of an angle in terms of the sine of the same angle:

[tex]cos(\alpha ) = \sqrt{1-sin^2(\alpha) }[/tex]

In ours case, using our values, this gives:

[tex]cos(\alpha ) = \sqrt{1-sin^2(\alpha) }= \sqrt{1-(3x)^2}= \sqrt{1-9x^2}[/tex]

So replacing these in the cos of an addition of angles formula, we obtain that the given expression equals:

[tex]x \sqrt{1-9x^2} -3x \sqrt{1-x^2}[/tex]

Final answer:

We can simplify the expression cos(arcsin(3x) + arccos(x)) in terms of x without trigonometric functions by using sin(arccos(x)) = sqrt(1 - x^2). The simplified expression is sqrt(1 - (3x)^2) * x - 3x * sqrt(1 - x^2).

Explanation:

To simplify the expression cos(arcsin(3x) + arccos(x)) in terms of x without trigonometric functions, we can use the fact that sin(arccos(x)) = sqrt(1 - x^2). Let's start by finding sin(arccos(x)).

arccos(x) gives us an angle whose cosine is x. We can then take the sine of this angle to get sin(arccos(x)). We know that sin^2(arccos(x)) + cos^2(arccos(x)) = 1, so sin(arccos(x)) = sqrt(1 - x^2).

Now, let's substitute the values in the original expression:

cos(arcsin(3x) + arccos(x)) = cos(arcsin(3x)) * cos(arccos(x)) - sin(arcsin(3x)) * sin(arccos(x))

Substituting the values, we have: cos(arcsin(3x)) * cos(arccos(x)) - sin(arcsin(3x)) * sin(arccos(x)) = sqrt(1 - (3x)^2) * x - 3x * sqrt(1 - x^2)

This is the simplified expression of cos(arcsin(3x) + arccos(x)) in terms of x without trigonometric functions.

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5. Jenny earns $30 a day working part time at a supermarket. Write an algebraic expression to
represent the amount of money she will earn in d days.
A 30d
B. 30
30
€ 30+ 0
D. None of the above

Answers

A. 30d
This is because d is the amount of day so if she earns £30 per day the it’s the amount of days x her daily wage =
d x £30 =
30d
(The number always goes first in equations) I hope this helped.
Final answer:

The algebraic expression to represent the amount of money Jenny will earn in d days, given that she earns $30 per day, is 30d.

Explanation:

The question is asking to write an algebraic expression to represent the amount of money Jenny will earn working at a supermarket for a certain number of days, where she earns $30 per day. In algebra, we often use variables to represent unknown quantities. In this case, we will use d to represent the number of days.

In one day, Jenny earns $30. Therefore, to determine how much she earns in multiple days, we multiply the number of days by the amount she earns each day. If she works 'd' days, Jenny will therefore earn 30d dollars.

Answer: A. 30d

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Candi Barr has a mobile hanging in her window, and it's balanced because the weight on each side is the same.



a.) If Candi takes two triangles off of the left side and three triangles off of the right side, will the mobile still be in balance, or will it tip to one side? If so, which side? Explain how you know.

Answers

No

X-3 does nOt equal x-2

To prove that let’s use a random number, let’s say 8

If there were 8 triangles on each side, and you take three off on and two off the other...

8-3 = 8-2

5 = 6
That statement is false

5 < 6

So the side that we took two off of(the left) would be heavier and therefore will tip to the left

NEED ASAP PLEASE!!!!!!!!!!

Answers

To find the answer first we make an equation. This equation works for both.

c+(a*y) where c = Current height, a = Annual growth and Y = Years of growth.

Substitute for the correct numbers.

For Tree A:

38+(4*y)

And for Tree B:

45.5+(2.5*y)

Then add some to find that both are the same in 5 years for 58 inches each.

Answer:

you might neees to see if thyeare not ggoing tose if thye are noty the same because is rh on thta thye could do all the smaet hinbg

Step-by-step explanation:

nect thing they could npt going and thye are

Solve for h
-(4+h) = 3h
h = ?

Answers

Answer:

[tex]h = - 1[/tex]

Step-by-step explanation:

given

-(4+h)=3h

the negative sign affects all the expression in the bracket by multiplying through.

when negative multiply positive it give a negative answer

thus

-4-h=3h

[tex] - 4 = 3h + h[/tex]

[tex] - 4 = 4h[/tex]

[tex]h = \frac{ - 4}{4} [/tex]

[tex]h = - 1[/tex]

Answer:

Step-by-step explanation:

H= -1

Determine the missing information in the paragraph proof.


Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).


Prove: The slopes of perpendicular lines are negative reciprocals.



The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction


The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Answers

Answer:

A) [tex](\frac{d-b}{c-a} )(\frac{c-a}{-d+b} )[/tex]

The product of these slopes is -1

Step-by-step explanation:

The slope of perpendicular  lines are negative reciprocal.This means that when you multiply the two slopes you get -1.

To find slope of a line you apply;

m=change is y-axis values/change in x-axis values

Given that there are two lines, PQ and P'Q' then to find slope you follow;

Line PQ where P(a,b) and Q (c,d)  slope,m= (d-b / c-a )

Line P'Q' where P'(-b,a) and Q'(-d,c) slope , m= ( c-a / -d+b)

Multiplying the two slopes

[tex]\frac{d-b}{c-a} *\frac{c-a}{-d+b} \\\\\\\frac{d-b}{-d+b} \\\\=-1[/tex]

Answer:

a

Step-by-step explanation:

took the test today

Plz help. A tram moved upward 3 meters per second for 24 seconds. What was the total change in the tram's elevation?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3 meters}{1 second} * 24 seconds[/tex]

[tex]72 meters[/tex]

Final answer:

The total change in the tram's elevation is found by multiplying the speed (3 meters per second) by the time (24 seconds) which gives us a result of 72 meters.

Explanation:

The total change in the tram's elevation can be found using the formula for distance travelled which is speed times time. We know that the speed of the tram is 3 meters per second, and it moved for 24 seconds. To find the total distance travelled or the total change in elevation, we simply multiply the speed by the time.

So, 3 meters per second multiplied by 24 seconds equals 72 meters. Therefore, the total change in the tram's elevation was 72 meters.

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write a division sentence that divides a negative integer by a positive integer. Then write a multiplication sentence that proves your division sentence is correct.

Answers

Answer:RULE 1: The quotient of a positive integer and a negative integer is negative. RULE 2: The quotient of two positive integers is positive. RULE 3: The quotient of two negative integers is positive. If the signs are different the answer is negative.

Hope this helps

Step-by-step explanation:

Final answer:

We used -12 and 3 to demonstrate negative integer divided by a positive integer resulting in -4. We confirmed this by multiplying -4 by 3 to get -12 back.

Explanation:

Let's use -12 and 3 as examples for a negative integer and a positive integer respectively. The division sentence would be -12 ÷ 3 = -4. To prove this division is correct using multiplication, you would multiply the quotient by the divisor. So, -4 * 3 = -12, which is equivalent to the dividend. Therefore, the multiplication shows the accuracy of the division.

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40 POINTS Geometry - When you know the scale factor (e.g. 3), why does the point of dilation matter? Wouldn't each coordinate be multiplied by the scale factor no matter where it was dilated? (e.g. 3, 6 becomes 9, 12) Or am I missing something?

Answers

Hey!

Answer and Explanation:

When the scale factor is 1 and lower then that means its a reduction. When the scale factor is 1 and higher it's an enlargement.If (3, 6) becomes (9, 12) then the scale factor is not possible. Because when you divide you would get (2, 3).If you had (3, 6) and (6, 12) then the scale factor would be 2. Which is an enlargement.

Hope This Helped! Good Luck!

If x=1, then 9x-4x=2x+3x

Answers

Answer:

Is true

Step-by-step explanation:

9(1)-4(1)=2(1)+(3)

5=5

Answer:

5 = 4

Step-by-step explanation

9(1) - 4(1) = 2(1) + 2(1)

so its pretty much just

9 - 4 = 2 + 2

5 = 4

a function is defined as shown

Answers

The third graph is the right graph.

571÷24 PLZ help. ❤❤​

Answers

Answer:

23.79

Step-by-step explanation:

You can use a calculator or use the give and take method. when using the calculator always take the first two numbers after the decimal.

Suppose you bought eight oranges and one grapefruit for a total of 4.60. Later that day, you bought six oranges and three grapefruits for a total of 4.80. What is the price of each type of fruit?

Answers

Answer:

a grapefruit would cost $0.06  and an orange would cost $0.05

Step-by-step explanation:

The price of an orange is 0.5 dollars and price of a grape is 0.6 dollars.

What is linear equation in two variable ?

A linear equation has highest degree of a and contains two variables generally in x and y.

According to the given question you bought eight oranges and one grapefruit for a total of 4.60.

Let oranges be denoted by O and grapefruit be denoted by G.

∴ 8O + 1G = 4.60...(i)

Later that day, you bought six oranges and three grapefruits for a total of 4.80.

∴ 6O + 3G = 4.80...(ii)

Now multiplying (i) by 3 and subtracting it from (ii) to cancel out one variable and get the value of the other.

We get O = 0.5 dollars and G = 0.6 dollars.

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Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham's
arms are 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cable
continues to lift him higher. Hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. Which
system of equations can be used to model this situation?
(n-18+1.51
In-5+242-167
(n-18+1.57
In-5+24+167
(n-18+1.51
[h=5+241
(n=18+1.54-167
In=5+241- 1672

Answers

Answer:

If Hunter is right beneath Graham ( 18ft-5ft=13ft) and G's arms are 18ft above ground ( and going up, no bending) the question would be at what hight would Graham catch the ball and and how soon.

The maximum hight that the ball can reach before falling ( when the vector F - force of throwing the ball to Graham, would be equal in module to gravitational force - considering gravitational velocity of 13ft/s^2

The equation of Graham cable is h(t) = -16t² + 1.5t + 18

The equation of Hunter ball is h(t) = -16t² + 24t + 5

What is an equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Now, The height of a projectile at time t is:

h(t) = -16t² + ut + h'

Where u is the initial velocity and h' is the initial height.

So, the equation of Graham cable is:

h(t) = -16t² + 1.5t + 18

and, the equation of Hunter ball is:

h(t) = -16t² + 24t + 5

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The figure shown is a rectangular prism. Which edges are perpendicular QE?

Select each correct answer


A. TQ
B. PR
C. RA
D. QP
E. EJ

Answers

C. RA would be the answer

The edges which are perpendicular to edge QE are TQ, QP and EJ. Thus, option (A), (D) and (E) are correct.

In a rectangular prism, the edges that are perpendicular to QE are those that intersect QE at right angles.

So, for an edge to be perpendicular to QE, it should be parallel to the other two edges of the rectangle that contains QE.

From the given options:

A. TQ: This edge is perpendicular to QE because it is parallel to the edges TP and EQ.

B. PR: This edge is not perpendicular to QE because it is parallel QE.

C. RA: This edge is not perpendicular to QE because it is parallel to QE.

D. QP: This edge is perpendicular to QE as it is parallel to the edges PQ and TE, not QE.

E. EJ: This edge is perpendicular to QE as it is parallel to the edges EK and QJ, not QE.

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4 fair coins are tossed. What is the probability that all the outcomes are heads?

Answers

1/16 You need to multiply 2x2x2x2 since all the coins are both two sided

How do you solve this?​

Answers

Answer:

Step-by-step explanation:

set it up like this

19x + 11 = 11x + 4

then self like algebra

19x + 11 -4 = 11x + 4 - 4

19x + 7 = 11x

19x -11x + 7= 11x -11x

8x ÷ 8 + 7 ÷ 8

x = 0.875

plug it into

19x + 11

19 × 0.875 + 11 = 27.625

so 27.625  should be your answer

Complete the steps to solve the equation 4e2 + 2x = x-3 by graphing.
1. Write a system of equations.
y = 4e2 + 2x and y =________
2. Graph the system. Use the graphing calculator to graph each equation.
3. Identify the solutions. The
_________ of the points where the graphs of the equations
intersect are the solutions to the original equation.
The equation 4e2 + 2x = x-3 has __________

Answers

Answer:

1. x-3

3. x -coordinates

has no solution

Step-by-step explanation:

Answer:

x-3

x -coordinates

has no solution

Step-by-step explanation:

The length and width of a rectangle is (x-2) and (4-y) respectively. Express the area, A, of the rectangle in terms of x and y.​

Answers

Answer:

4x + 2y - xy - 8

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × width , that is

A = (x - 2)(4 - y)

Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is

x(4 - y) - 2(4 - y) ← distribute both parenthesis

= 4x - xy - 8 + 2y, thus

A = 4x + 2y - xy - 8

Answer: 4x - xy - 8 + 2y

Step-by-step explanation:

(x-2)(4-y) = 4x - xy - 8 + 2y

Select all statements that are true about the linear equation.

y=4x−3




The graph of the equation is the set of all points that are solutions to the equation.

The point (1, 1) is on the graph of the equation.

The point (0, −3) is on the graph of the equation.

The graph of the equation is a single point representing one solution to the equation.

Answers

Answer:

The graph of the equation is the set of all points that are solutions to the equation.

The point (1, 1) is on the graph of the equation.

The point (0, −3) is on the graph of the equation.

Step-by-step explanation:

The statements that are true about the linear equation are:

The point (1, 1) is on the graph of the equation.The point (0, −3) is on the graph of the equation.The graph of the equation is the set of all points that are solutions to the equation.What is true of the linear equation ?

The graph of a linear equation is a line. The line is made up of all points that satisfy the equation. To find the points that satisfy the equation, we can substitute different values for x and solve for y.

If we substitute x=1, we get y=4(1)−3=1. So, the point (1, 1) is on the graph of the equation.

If we substitute x=0, we get y=4(0)−3=−3. So, the point (0, −3) is also on the graph of the equation.

The graph of the equation is a line that passes through the points (1, 1) and (0, −3).

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Which of the following can be written as a fraction of integers? CHECK ALL THAT APPLY.

2.5

square root of 14

square root of 16

-1.25

5.333333...

pi

0.6

Answers

I literally just had this question & someone helped me its square root of 16.

Answer:

2.5

√16,

-1.25,

5.33333...

0.6

Step-by-step explanation:

A decimal number can be written as the fraction of integers ( i.e. rational number ) if it is terminating or recurring non terminating,

2.5 is terminating decimal,

⇒ it can be written as a fraction of integers,

√14 = 3.7416573...... is not recurring non terminating decimal,

⇒ it can not be written as a fraction of integers,

√16 = 4 is an integer,

an integer can always written as a fraction of integers,

-1.25 is terminating decimal,

⇒ it can be written as a fraction of integers,

5.333333... is a recurring non terminating decimal,

⇒ it can be written as a fraction of integers,

[tex]\pi[/tex] = 3.14159265359....  is not recurring non terminating decimal,

⇒ it can not be written as a fraction of integers,

0.6 is terminating decimal,

⇒ it can be written as a fraction of integers

Round 440.221281415 to 2 decimal places.

Answers

Answer:

440.22

Hope this helps you!

which product is greatest? (-9)*(-3) or (-7)*(-2)? explain

Answers

Answer:

-9 x -3

Step-by-step explanation:

-7 x -2 will give +14.

-9 x -3 will give +27

+27 is greater than +14.

Two negative numbers multiplied will give a positive answer. (Always)

Final answer:

Multiplying two negative numbers gives a positive product. Therefore, both (-9)*(-3) and (-7)*(-2) result in positive numbers. However, (-9)*(-3) equals to 27, which is greater than (-7)*(-2) equals to 14.

Explanation:

In Mathematics, when you multiply two negative numbers together, the product is a positive number. This is because the rules of sign in multiplication state that a negative times negative equals to a positive. Therefore, both (-9)*(-3) and (-7)*(-2) will result in positive numbers. (-9)*(-3) equals 27, while (-7)*(-2) equals 14. So, the product of (-9)*(-3), which is 27, is greater than the product of (-7)*(-2), which is 14.

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Other Questions
The vapor pressure of water is 28.3 mm Hg at 28 C. What mass of water vapor, in mg, would be present in a vapor volume of 600. mL at 28C? Selected Answer: B. 16.3 Correct Answer B. 16.3 Write a class definition for a student. It should have student ID and student name. Include the mutator and accessor functions for both of those member variables. When the size of a cell increases, the surface area/volume ratio:- decreases initially and then begins to increase. - remains the same. - increases. - decreases.- increases initially and then begins to decrease. Dan wrote (2x10^6)+(3x10^4)+(5x10^3)+4 for the expanded form of two millions , three hundred fifty thousand, four. What error did he make in the expanded form? What is the standard form of the number? Find all solutions of the equation 4x^2144=0 by factoring the left hand side and using the zero factor property. 15-(0.7 x3) please help meeeeee Light-dependent repair corrects which of the following DNA alterations?a. methylationb. thymine dimersc. mismatched basepairingd. hydroxylatione. inversions Arrange the following list of eukaryotic gene elements in the order they would appear in the genome and in the direction traveled by RNA polymerase along the gene. Assume the gene's single intron interrupts the open reading frame. Note that some of these names are abbreviated and thus do not distinguish between elements in DNA versus RNA. For example, "splice-donor site" is an abbreviation for "DNA sequences transcribed into the splice-donor site" because splicing takes place on the gene's RNA transcript, not on the gene itself. Geneticists often use this kind of shorthand for simplicity, even though it is imprecise. (a) splice-donor site; (b) 3' UT R; (c) promoter; (d) stop codon; (e) nucleotide to which methylated cap is added; (f) initiation codon; (g) transcription terminator; (h) splice-acceptor site; (i) 5' UT R; (j) poly-A addition site; (k) splice branch site. What is 240 divided by 6 On the map , #2 identifies which body of water?a. Lake Erieb. Lake Michiganc. Hudson Bayd. Lake Superior Stella thinks that if people are exposed ultraviolet light then they are more likely get skin cancer. Stella designs an experiment wherein sample A consisted of people were exposed to ultraviolet light and sample B was not.what is the independent variable? In terms of what is happening within a resting skeletal muscle cell why are myosins not be able to attach to the thin myofilament? Distinction between eutrophication and artificial eutrophication What did the Line of Demarcation do?A.It split the world into two and stated that anything east of the line could be claimed by Portugal and that anything west of the line could be claimed by Spain.B.It split the world into two and stated that no Europeans could travel west of that line.C.It split the world into two and stated that anything north of the line could be claimed by Portugal and that anything south of the line could be claimed by Spain.D.It split the world into two and stated that no Europeans could travel south of that line. Dr. Korir is a 68-year-old college professor. His health is deteriorating, but he wants to continue working at a high level. Based on Baltes's selective optimization with compensation model, which of the following should the professor do?-Ignore his health problems and do the best he can.-Retire, as he won't be able to fully master his job.-Stay on the job, but care less about performing well. Simon used these steps to solve an equation:Step 1: -6(x + 7) = 2(x 11)Step 2: -6x 42 = 2x 22Step 3: -8x 42 = -22Step 4: -8x = 20Which property did he use to get from step 3 to step 4?A. addition property of equalityB. distributive propertyC. subtraction property of equalityD. transitive property Charles is training for a triathlon, a timed race that combines swimming, biking, and running.Consider the following sentence: Because his pool sessions are helping him swim more quickly, Charles plans to reduce by 1 hour per week the time he spends training on the bike and increase by 1 hour the time he spends in the swimming pool; however, his wife says that he should stop doing any biking and running and spend all 20 hours per week in the pool.Which basic principle of individual choice does Charles's plan illustrate that his wife's advice does not?Many decisions are made on the margin.People usually exploit opportunities to make themselves better off.Resources are scarce.All costs are opportunity costs. What is the area of the region bounded between the curves y=6x^2 and y=4x? Can anyone double check my work for me? While skiing in Jackson, Wyoming, your friend Ben (of mass 61.5 kg) started his descent down the bunny run, 25.2 m above the bottom of the run. If he started at rest and converted all of his gravitational potential energy into kinetic energy, what is Bens kinetic energy at the bottom of the bunny run?Answer in units of J. What is his nal velocity? Answer in units of m/s"