what is the difference between v and left parenthesis v right parenthesis subscript s ?

Some molecules which cannot be synthesized by cell but must be obtained from environment, then these types of molecules include vitamins and amino acids and are known as growth factors.

The "Growth-factors" are essential for various biological processes, including cell growth, development, and repair. They act as signaling molecules that bind to specific receptors on cells, initiating intracellular signaling pathways and triggering specific cellular responses.

By providing these molecules, the environment supports the cell's ability to function properly and carry out vital processes necessary for growth, development, and overall survival.

Obtaining growth factors from the environment becomes crucial in maintaining the necessary balance of these molecules for the cell's optimal functioning.

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The output is given by:r= t-3

For the inputs,

t=17

The output is

r=17-3=14

For the input, t=20

The output is:

r=20-3=17

For the input, t=22

The output is

r=22-3=19.

For the input, t=24

The output is

r=24-3=21

Answer:  \(2\sqrt{2}+\sqrt{3}\\\\\)

a = 2 and b = 1

=======================================================

Explanation:

Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root

\(\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\\)

In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2

-------------------

At this point, we equate the non-radical and radical terms to get this system of equations

\(\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}\)

The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)

Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.

We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).

If so, then we have these four possibilities

If a,b are negative, then you'll find that \(a\sqrt{2}+b\sqrt{3}\) overall is negative. But this contradicts that \(\sqrt{11+4\sqrt{6}}\) is positive. So a,b must be positive.

Let's assume that a = 1 and b = 2. If so, then,

2a^2+3b^2 = 2(1)^2+3(2)^2 = 14

but we want that result to be 11 instead.

Let's try a = 2 and b = 1

2a^2+3b^2 = 2(2)^2+3(1)^2 = 11

which works out perfectly.

Therefore,

\(\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\\)

---------------------------------

Checking the answer:

Use a calculator to find that

\(\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\\)

both have the same decimal approximation, so this is a fairly informal way to confirm the answer.

Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0

So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).

Answer:

Because of cars, and factories making it everyday.

Step-by-step explanation:

Step-by-step explanation:

everything can be found in the picture

Answer:

sum = 900°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7 , then

sum = 180° × (7 - 2) = 180° × 5 = 900°

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

HELP WITH WHAT

Step-by-step explanation:

The number of positive integers with exactly four decimal digits that is positive integers between 1000 and 9999 is 4536.

The positive integers between 1000 and 9999 inclusive have 4 digits.

The first digit cannot be zero because otherwise, it will become a  digit integer.

So, the first digit can be filled in 9 ways.

The second digit can be filled by 9 different ways.

Because the second digit cannot be the same as that of the first digit but zero can be the second digit.

The third digit can be filled by 8 different ways.

The fourth digit can be filled in 7 different ways.

Number of four decimals digits = 9 * 9 * 8 * 7

= 81 * 8 * 7

= 81 * 56

= 4536 digits.

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The given integral ∫(4x^2 + 4x + 2) dx can be evaluated to obtain an expression in the form P arctan(ax + b) + c, where P, a, b, and c are constants. The common divisor of P and q is 1, and the value of P is 9.

In the given expression, the integral of 4x^2 is (4/3)x^3, the integral of 4x is 2x^2, and the integral of 2 is 2x. Summing up these integrals, we get (4/3)x^3 + 2x^2 + 2x + C, where C is the constant of integration.

To express this in the form P arctan(ax + b) + c, we need to manipulate the expression further. We can rewrite (4/3)x^3 + 2x^2 + 2x as (4/3)x^3 + (6/3)x^2 + (6/3)x, which simplifies to (4/3)x^3 + (6/3)(x^2 + x).

Comparing this with the form arctan(ax + b), we can see that a = √(6/3) and b = 1. Therefore, the expression becomes 9 arctans (√(6/3)x + 1) + C, where C is the constant of integration.

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The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

20 pieces

Each roll has 36 inches of ribbon. This means that 5 rolls have 180 inches of ribbon (5 x 36 = 180).

You can then divide the 180 by 9 to find out how many 9 inch pieces the dressmaker can cut from 5 rolls of ribbon.

Equation representation:

36 inches x 5 rolls = 180 inches in total
(one roll)

180 inches ÷ 9 = 20 peices

In conclusion, the dressmaker can cut 20, 9-inch pieces from 5 rolls of ribbon.

Step-by-step explanation:

Have a great rest of your day
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Answer:

ojsjsnajnbaknrkmlamsl

Answer:

x = 6

Step-by-step explanation:

Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:

5x - 3 = 3x + 9

2x = 12

x = 6

Answer:

\(y=2x+3\)

Step-by-step explanation:

The slope-intercept form is \(y=mx+b\), where \(m\) is the slope and \(b\) is the y-intercept.

\(y=mx+b\)

Using the slope-intercept form, the slope is 2.

\(m=2\)

So in order for us to find an equation that is parallel, the slopes must be equal. We need to find the parallel line using the point-slope formula.

We use the slope 2 and a given point \((2,7)\) to substitute for x1 and y1 in the point-slope form \(y-y^1 = m (x-x^1)\), which is derived from the slope equation: \(m=\frac{y2-y1}{x2-x1}\)

Now we simplify the equation and keep it in point-slope form.

\(y-7=2\)  × \((x-2)\)

Simplify \(2\) × \((x-2)\)

\(y-7=2x-4\)

\(Rewrite.~y-7=0+0+2~x~(x-2)\)

\(Simplify~ by~adding~zeros.~y-7=2 ~x~(x-2)\)

\(Apply~the~distributive~property.~y-7=2x+2~X~-2\)

\(Multiply~2~by~-2.~y-7=2x-4\)

Last, We move all terms not containing y to the right side of the equation.

Add 7 to both sides of the equation.

\(y=2x-4+7\)

Add −4 and 7 and your answer will be: \(y=2x+3\)

Answer:

Step-by-step explanation:

Any linear equation can be written as y = mx + b

The point will determine b

The slope (m) is found by this formula for a perpendicular line

m1 * m2 = - 1

m1 = -1/m2

m1 = -1/(-2/3)

m1 = 3/2

So our equation looks like

y = 3/2 x + b

Now we use the point (4,-8)

-8 = 3/2 (4) + b

-8 = 3(2) + b

-8 = 6 + b

b = - 14

The answer is

y = 4/2 - 14

Answer:

the second one

Step-by-step explanation:

P(X = 2) is not equal to P(X = 3)

To show that P(X = 2) = P(X = 3) in a binomial distribution with n = 5 and p = 0.5, we need to use the formula for the probability mass function (PMF) of a binomial distribution.

The PMF of a binomial distribution is given by the formula:

P(X = k) = C(n, k) *\(p^k * (1-p)^{(n-k)}\)

where n is the number of trials, k is the number of successes, p is the probability of success, and C(n, k) represents the binomial coefficient.

In our case, n = 5 and p = 0.5. Let's calculate P(X = 2) and P(X = 3) using the formula:

P(X = 2) = \(C(5, 2) * (0.5)^2 * (1-0.5)^{(5-2)}\)

        = 10 * 0.25 * 0.125

        = 0.3125

P(X = 3) = C(5, 3) * \((0.5)^3 * (1-0.5)^{(5-3)}\)

        = 10 * 0.125 * 0.125

        = 0.125

As we can see, P(X = 2) = 0.3125 and P(X = 3) = 0.125.

Therefore, P(X = 2) is not equal to P(X = 3) in this specific case of a binomial distribution with n = 5 and p = 0.5.

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The length of the Mississippi River is 4.26 times as great as the length of Colorado River

The length of Rio Grande is 2.87 times as large as the  length of the Colorado River

The length of the Mississippi River is 1.48 times as large as the Rio Grande River

In order to determine how much greater the length of a river is greater than that of another river, divide the length of longer river by the shorter river

a. Length of the Mississippi River / length of Colorado River

3.93 x 10³ ÷ 9.23 × 10² = 4.26 times

b. Length of the Rio Grande /  length of Colorado River

2.65 x 10³ ÷ 9.23 × 10² = 2.87 times

c. . Length of the Mississippi River / length of the Rio Grande

3.93 x 10³ ÷ 2.65 x 10³ = 1.48 times

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Answer:

0.17 per ounce

Step-by-step explanation:

To find the price per ounce, divide the price by the number of ounces.

price/ number of ounces

A 2 pound bag costs $5.44. We need to find out how many ounces are in 2 pounds.

Each pound has 16 punches. Therefore, 2 pounds will have 32 ounces (16 ounces * 2 pounds=32 ounces).

Now we can find the price per ounce by dividing the price by the number of ounces.

price/ounces

We know the bag is 2 pounds, which is equal to 32 ounces. We also know the bag costs $5.44

price= $5.44

ounces= 32 ounces

$5.44/ 32 ounces

$0.17 / ounces

The asparagus costs 0.17 per ounce.

In this step, we need to find the x-intercepts where the polynomial function f(x) = (x+4)²(x - 3)³(x - 2) crosses the x-axis. We are asked to select the number of x-intercepts and provide them as ordered pairs.

To find the x-intercepts of the polynomial function f(x) = (x+4)²(x - 3)³(x - 2), we set the function equal to zero and solve for x.

Setting f(x) = 0, we have (x+4)²(x - 3)³(x - 2) = 0. By applying the zero-product property, we can set each factor equal to zero and solve for x separately.

Thus, we set (x+4) = 0, (x - 3) = 0, and (x - 2) = 0. Solving these equations, we find three distinct x-intercepts: x = -4, x = 3, and x = 2.

Therefore, the function f(x) crosses the x-axis at these three points. Expressing them as ordered pairs, the intercepts are (-4, 0), (3, 0), and (2, 0).

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The parametric representation for torus is x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

Parametric equation are the set of equations that express a set of quantities as explicit function of the numbers of independent variables known as parameter

Parametric representation are generally non unique so that the quantities may be expressed by the number of different parameterizations

According to the question,

The torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.

z = a sin a

y = |PQ| and x = |OP|

but , |OQ| = |OR| + |RQ| = b + a cos a

sin ∅ = |PQ| / |OQ|

So that , y = |OQ| sin ∅ = (b + a cos a ) sin ∅

Similarly ,

cos ∅ = |OP| / |OQ|

so that x =  (b + a cos a ) cos ∅

Hence , a parametric representation for a torus is

x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a

where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

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In the given scenario, the average current produced within the loop is approximately 2.13 A.

We can begin by computing the change in magnetic flux across the loop as it expands to determine the average current generated within the loop.

The following equation provides the magnetic flux across a loop:

Φ = B * A * cos(θ)

ΔΦ = B * ΔA

ΔA = A₂ - A₁ = π * (1.00 m)² - π * (0.40 m)² = π * (1.00² - 0.40²) = π * (1.00 + 0.40)(1.00 - 0.40) = π * (1.40)(0.60) = 0.84π m²

So,

ΔΦ = B * ΔA = (24 mT) * (0.84π m²) = 20.25π m²·T

emf = ΔΦ / Δt = (20.25π m²·T) / (1.0 s) = 20.25π V

As:

emf = I * R

So, again

I = emf / R = (20.25π V) / (30 Ω) ≈ 2.13 A

Thus, the average current produced within the loop is approximately 2.13 A.

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Answer:

The answer would be 12+2v or vice versa

Step-by-step explanation:

Hoped that helped

9514 1404 393

Answer:

Step-by-step explanation:

Substitute the expressions.

After the first translation, the value of x is (x+n). Put that as the value of x in the second translation.

  x ⇒ x +s . . . . . . . . . the definition of the second translation

  (x+n) ⇒ (x+n) +s . . . the result after both translations

The same thing goes for y. After the first translation, its new value is (y+1).

  y ⇒ y +m . . . . . . . . the definition of the second translation

  (y+1) ⇒ (y+1) +m . . . the result of both translations

Then the composition of A followed by B is (x, y) ⇒ (x +n +s, y +1 +m).

__

The same reasoning applies. After the B translation, the x-coordinate is (x+s) and the y-coordinate is (y+m). Then the A translation changes these to ...

  x ⇒ x +n . . . . . . . . . . definition of translation A

  (x+s) ⇒ (x+s) +n . . . . translation A operating on point translated by B

  y ⇒ y +1 . . . . . . . . . . . definition of translation A

  (y+m) ⇒ (y+m) +1 . . . . translation A operating on point translated by B

The composition of B followed by A is (x, y) ⇒ (x + s + n, y + m + 1).

__

You should recognize that the sums (x+n+s) and (x+s+n) are identical. The commutative and associative properties of addition let us rearrange the order of the terms with no effect on the outcome.

The two translations give the same result in either order.

If after the plumber has worked alone for 3 hours, his apprentice joins him and working together they complete the job 4 hours later, it would take the plumber 9 hours to do the entire job by himself.

Let's start by assigning some b to represent the rate at which each person works. Let's say that the plumber's rate is P (in units of job per hour) and the apprentice's rate is A (also in units of job per hour). Since the plumber works twice as fast as the apprentice, we can write:

P = 2A

Next, let's think about how much work can be done in a certain amount of time. If the plumber works alone for 3 hours, he completes 3P units of work. When the apprentice joins him, they work together for another 4 hours to complete the entire job, which is a total of 7 hours of work. So, the amount of work done in those 4 hours is:

4(P + A)

We also know that the total amount of work is 1 (since it's one complete job). Putting this all together, we can write an equation:

3P + 4(P + A) = 1

We can simplify this to:

7P + 4A = 1

But we also know that P = 2A, so we can substitute that in:

7(2A) + 4A = 1

Simplifying this, we get:

18A = 1

So, A = 1/18. This means that the apprentice can complete 1/18 of the job in one hour. Since the plumber works twice as fast, he can complete 2/18 of the job (or 1/9) in one hour.

To find out how long it would take the plumber to do the entire job by himself, we can use the formula:

Time = Work / Rate

The entire job is 1, and the plumber's rate is 1/9. So:

Time = 1 / (1/9) = 9 hours

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Answer:Let the cost of an orange and that of a mango during the first market day be Ksh. x and Ksh. y respectively.

From the first market day:

30x + 12y = 936

From the second market day:

15(1.2x) + 20(3/4y) = 780

Simplifying the second equation:

18x + 15y = 780

(ii) Using matrix to find the cost of an orange and that of a mango in the first market day:

Rewriting the equations in matrix form:

|30 12| |x| |936|

|18 15| x |y| = |780|

Multiplying the matrices:

|30 12| |x| |936|

|18 15| x |y| = |780|

|30x + 12y| |936|

|18x + 15y| = |780|

Using matrix inversion:

| x | |15 -12| |936 12|

| y | = | -18 30| x |780 15|

|x| |270 12| |936 12|

| | = |-360 30| x |780 15|

|y|

Simplifying the matrix multiplication:

|x| |1194| |12|

| | = | 930| x |15|

|y|

Therefore, the cost of an orange in the first market day was Ksh. 39 and the cost of a mango in the first market day was Ksh. 63.

(iii) Calculation of the total amount of money realized for the sales:

On the second market day, Fatuma bought 15 oranges and 20 mangoes.

Cost of 15 oranges = 15(1.2x) = 18x

Cost of 20 mangoes = 20(3/4y) = 15y

Total cost of fruits bought on the second market day = 18x + 15y = 18(39) + 15(63) = Ksh. 1629

Profit earned on 15 oranges at 10% = 1.1(1.2x)(15) - (1.2x)(15) = 0.18x(15) = 2.7x

Profit earned on 20 mangoes at 15% = 1.15(3/4y)(20) - (3/4y)(20) = 0.15y(20) = 3y

Total profit earned = 2.7x + 3y

Total amount of money realized for the sales = Total cost + Total profit

= Ksh. 1629 + 2.7x + 3y.

Step-by-step explanation:

Answer:

just put the words into math:

x+y=15

4x = 2y-60

Now just solve the system for y.

Answer:

7723

Step-by-step explanation:

Trust me I'm just as confused as you are.

Using proportions, it is found that with an income of $57,890, you need to pay $12,735.8 in taxes.

A proportion is a fraction of a total amount.

In this problem, for incomes from $38,701 up to $82,500, you need to pay 22% in taxes. An income of $57,890 is in this range, hence the amount paid is given by:

A = 0.22 x 57890 = $12,735.8.

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Answer:

12+15=27 total students, each car can seat 4, so 27/4=6.75, you would round up to 7 bc you can't have 3/4ths of a car

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

(12+15)÷4=x

(27)÷4=x

6.75=x

round up to 7

Let the length of the map be L Cm.

Hence, L = 37.5 Cm

Now, Let the width of the map be B.( Breadth )

Now, we know that perimeter of a rectangle

= 2 ( L + B )

According to the question–

125 = 2 ( L + B )

{ Putting the value of L we get }

Or, 125 = 2 ( 37.5 + B )

Or, 125/2 = 37.5 + B

Or, 62.5 = 37.5 + B

Or, 37.5 + B = 62.5

Or, B = 62.5 – 37.5

Or, B = 25 Cm

Therefore, the Width of the rectangle is 25 Cm.