What is the product of
5w ( w + 2 ) ?

Answer:

The inverse of f is \(f^{-1}\) =  (x -2)/4  

Step-by-step explanation:

To find the inverse of f(x) = 4x + 2 , interchange the variables and solve for y.

   Rewrite f(x) = 4x + 2  as  x = 4y + 2  then solve for y

                                             x -2 = 4y

                                           (x - 2)/4 = y  

If Charmaine made 8 stacks with her coins and every stack had 6 coins, then the number of coins that she has all together is 48 coins

The number of coins that she has made  = 8 stacks

The number of coins in each stack = 6 coins

To find the number of coins that she has, we have to multiply the number of stack and number of coins in each stack

Then the number of coins that she has all together = The number of coins that she has made × The number of coins in each stack

Substitute the values in the equation

= 8 × 6

= 48 coins

Hence, if Charmaine made 8 stacks with her coins and every stack had 6 coins, then the number of coins that she has all together is 48 coins

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Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

Answer:

Height 4 ft

Step-by-step explanation:

Surface area= 2(lw + lh + wh) =

2(16)16)+2(16h)+2(6h) =

2(16)(6)+32h+12h=368

192 + 44h = 368

44h = 368 - 192

44h = 176

h = 176/44

Answer:

Answer is 5 inches on edg

Step-by-step explanation:

Answer:

The correct answer would be 5 inches.

Step-by-step explanation:

The circumference of the circle is 8π cm.

Given the diameter of the circle as 8cm,

The radius (r) can be gotten by dividing the diameter by 2

r = 8cm / 2 = 4cm

The area (A) of a circle is: A = πr^2

So, substituting the value of r, we get:

A = π(4cm)^2 = 16π cm^2

Therefore, the area of the circle is 16π cm^2.

The circumference (C) of a circle is C = 2πr

So, substituting the value of r, we get:

C = 2π(4cm) = 8π cm

Therefore, the circumference of the circle is 8π cm.

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The probability of exactly one success in the binomial experiment would be 20. 4 %.

The probability that there is one success in a binomial probability which has a chance of success of 5 % can be found by the formula :

P ( X = 1) = (5 choose 1) x ( 0.05 ) x  (0.95 ) ⁴

= ( 0.05 ) x  ( 0. 95 ) ⁴

= 0.05 x 0.8145

= 0.040725

Multiplying both gives:

P(X = 1) = 5 x 0.040725

= 0.203625

In conclusion, the probability of one success is 0.203625 or 20. 4 %.

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Therefore, S is linearly dependent.

The given set S = {(3,5), (1,0), (0,1)} is not a basis for R² because S is linearly dependent. A set of vectors in a vector space is considered linearly dependent if at least one vector in the set can be expressed as a linear combination of the other vectors in the set. If a set of vectors in a vector space is linearly dependent, then it cannot be a basis for the vector space. Therefore, option (a) is the correct answer.

Specifically, in the given set S = {(3,5), (1,0), (0,1)},

we have:(1) (3,5) = 3(1,0) + 5(0,1)(2) 1(1,0) = (1,0)(3) 0(0,1) = (0,0)

From equation (1), we see that (3,5) is a linear combination of the other two vectors in the set.

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The answer is , that S is not a basis for R2 because a basis must be a linearly independent set that spans R2.

The set S={(3,5), (1,0), (0,1)} is not a basis for R2 because it is linearly dependent.

To determine if a set is linearly dependent or not, you can check if one of its vectors is a linear combination of the others.

This means that one of the vectors can be expressed as a combination of scalars multiplied by the remaining vectors.

In the case of S, we can see that:

(3,5) = 3(1,0) + 5(0,1)

Therefore, the vector (3,5) can be expressed as a linear combination of the other two vectors in S.

This means that S is linearly dependent.

Therefore, we can conclude that S is not a basis for R2 because a basis must be a linearly independent set that spans R2.

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Answer:

48n^8

brainliest pleaseeeeee

Answer:

243√2n^4

Step-by-step explanation:

I did the math

Answer:

none of the above? sorry not too sure

Answer:

I think it's D.................

Answer:

They sold 142 adult tickets.

Step-by-step explanation:

120x3=360

142x9=1278

1278+360=1638

The function f(x) = 8 - x^3/8 is a polynomial function of degree 3.

To see why, note that a polynomial function is a function of the form f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0, where n is a non-negative integer and a_n, a_{n-1}, ..., a_1, a_0 are constants (coefficients). In this case, we have:

f(x) = 8 - x^3/8

= 8 - (1/8)x^3

= 0x^4 + 0x^3 + (-1/8)x^2 + 0x + 8

Thus, we can write f(x) as a polynomial function with degree 3, since the highest power of x that appears is x^3.

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The solution of i^100 = 1 is \(i^{100} = 1\) .

Simplify

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Power

In mathematical relationships, power is referred to the number of times a number is multiplied by itself meaning the number you get raising a number to an exponent whereas an exponent can be defined as the number of times the number is used in a multiplication. Exponents are often known as powers or indices.

Exponents

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

Rewrite \(i^{100}\) as \((i^{4} )^{25}\)

One to any power is one.

1

From the fact that \(i^{2}\) = −1,

Then

(\(-1^{50}\)) = 1 as −1 raised to any even power is 1.

\(i^{100} = 1\)

i^100 = 1

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The solution to the initial value problem can be written in the form:

y(x) = (1/K)∫|sin(5x)|⁵ (3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

To solve the initial value problem and find the solution y(x), we can use the method of integrating factors.

Given: dy/dx + 5cot(5x)y = 3x³ - csc(5x), y = 0

Step 1: Recognize the linear first-order differential equation form

The given equation is in the form dy/dx + P(x)y = Q(x), where P(x) = 5cot(5x) and Q(x) = 3x³ - csc(5x).

Step 2: Determine the integrating factor

To find the integrating factor, we multiply the entire equation by the integrating factor, which is the exponential of the integral of P(x):

Integrating factor (IF) = e^{(∫ P(x) dx)}

In this case, P(x) = 5cot(5x), so we have:

IF = e^{(∫ 5cot(5x) dx)}

Step 3: Evaluate the integral in the integrating factor

∫ 5cot(5x) dx = 5∫cot(5x) dx = 5ln|sin(5x)| + C

Therefore, the integrating factor becomes:

IF = \(e^{(5ln|sin(5x)| + C)}\)

= \(e^C * e^{(5ln|sin(5x)|)}\)

= K|sin(5x)|⁵

where K =\(e^C\) is a constant.

Step 4: Multiply the original equation by the integrating factor

Multiplying the original equation by the integrating factor (K|sin(5x)|⁵), we have:

K|sin(5x)|⁵(dy/dx) + 5K|sin(5x)|⁵cot(5x)y = K|sin(5x)|⁵(3x³ - csc(5x))

Step 5: Simplify and integrate both sides

Using the product rule, the left side simplifies to:

(d/dx)(K|sin(5x)|⁵y) = K|sin(5x)|⁵(3x³ - csc(5x))

Integrating both sides with respect to x, we get:

∫(d/dx)(K|sin(5x)|⁵y) dx = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

Integrating the left side:

K|sin(5x)|⁵y = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

y = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

Step 6: Evaluate the integral

Evaluating the integral on the right side is a challenging task as it involves the integration of absolute values. The result will involve piecewise functions depending on the range of x. It is not possible to provide a simple explicit formula for y(x) in this case.

Therefore, the solution to the initial value problem can be written in the form: y(x) = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

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The circumference of the circle is C = 144.44 yd .

From the given figure :

we observe that the radius r = 23 yd

we know that ,

What is circumference of circle ?

Circumference is the distance around the perimeter of a circle. It is calculated by multiplying the distance across the center .

A circle's perimeter is known as its circumference.

Formula :

C = 2πr

= 2 * 3.14 * 23

= 46 * 3.14

= 46 * 314 / 100

= 14444 / 100

= 144.44 yd

Hence the circumference of the circle is 144.44 yd .

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Full question :

is in the image uploaded

Answer:

1.25

Step-by-step explanation:

5 X 1.25 is 6.25 and 5 + 1.25 is 6.25

The easiest way to find the line parallel to 3x -2y =5 through (1,2), we must set 3x - 2y = 5 into slope-intercept form

   \(3x-2y =5\\-2y = -3x+5\\y = \frac{3}{2}x-\frac{5}{2}\)

In slope-intercept form, y = mx + b, m is the slope. For two lines to be parallel, their slopes must be equal.

Thus the new line that is parallel to 3x - 2y = 5 must also have a slope of (3/2)x

    \(y= \frac{3}{2} x+b\)

To find b, we must plug in (1,2)

   \(2 = \frac{3}{2}*1 + b\\b = \frac{1}{2}\)

Thus the equation that is parallel to 3x-2y = 5 and passes through (1,2) is \(y = \frac{3}{2}x+\frac{1}{2}\)

Hope that helps!

Answer:

3/2x+1/2

Step-by-step explanation:

just took on progress learning and was correct:)

Parameters are the values that are computed from a complete census, which are considered to be precise and valid measures of the population. So, option(b) is right one.

In statistics, a population parameter is a number that identifies an entire group of people or population. This should not be confused with arguments in other forms of mathematics that refer to values that remain constant for a mathematical function. Note that the population parameter is not a statistic, it refers to data for a sample or group of the population. With good research, we can get statistics that accurately estimate the population. Statistics is a numerical measure described with sample data. Therefore, the parameter is a numerical description of the characteristic of population.

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Complete question:

Values that are computed from a complete census, which are considered to be precise and valid measures of the population, are referred to as:

a) statistic

b) parameters

Answer:

D) 0

Step-by-step explanation:

Recall that slope is rise over run...

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

Since all the y values are constant (3) in the table, this signifies that the slope is 0.

For example:

(3 - 3)/(-7 - 0) = 0

Therefore, the answer is D) 0.

From the volume computed, since each box contains 5000 grams of chlorine powder, it won't be enough for 4 weeks.

The volume of the swimming pool water will be:

= length × width × height.

= 20 × 8 × 1.8

= 288m³

Since 50m³ of water chlorine needs 300gm, therefore, 1m³ will need;

= 300/50 = 6

Therefore, 288m³ will need:

= 288 × 6 = 1728gm

The amount of chlorine powder needed for 4 weeks will be:

= 1728 × 4

= 6912 gm

Since each box contains 5000 grams of chlorine powder, it won't be enough for 4 weeks.

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Answer:

1/2 I believe is you answer darling

Answer:

The first amount invested at 3%= x = $7500

The second amount Invested at 5% = y = $17500

Step-by-step explanation:

Juelle had $25,000 to invest.

She invested part of that amount at 3% interest and part at 5% interest for one year.

The amount of interest she earned for both investments was $1100.

The formula for Simple Interest =

Principal × Rate × Time

Let us represent

The first amount invested at 3%= x

The second amount Invested at 5% = y

x + y= $25,000....... Equation 1

x = 25,000 - y

3% × x + 5% × y = $1100...... Equation 2

0.03x + 0.05y = 1100...... Equation 2

We substitute 25000 - y for x in Equation 2

0.03x + 0.05y = 1100

0.03(25000 - y) + 0.05y = 1100

750 - 0.03y + 0.05y = 1100

Collect like terms

- 0.03y + 0.05y = 1100 - 750

0.02y = 350

y = 350/0.02

y = 17500

Solving for x

x = 25,000 - y

x = 25000 - 17500

x = 7500

Therefore:

The first amount invested at 3%= x = $7500

The second amount Invested at 5% = y = $17500

Answer:

a.)

Step-by-step explanation:

|2x - 2| > 2 (greater than 2)

the dilution set is the set of all x values, for which this inequality is true.

and that means

|2x - 2| has to have greater value than the value 2, which is represented by the constant, horizontal line y = 2.

the y values are aligned with the y-axis, which goes up and down. the higher up, the larger the y value.

so, only the values of |2x - 2| higher than 2 keep the inequality true.

so, a.) is the right answer. it is above the line.

b.) below would mean "< 2".

c.) intersects would mean "= 2".

d.) does not intersect would mean "<> 2".

please consider, the intersection points with the line are NOT included, because we have "> 2".

if we had to include the intersection points, it would have to be ">= 2".

There are infinitely many solutions to an equation with two variables.

We know that an equation is a mathematical statement that contains equal symbol between two mathematical expressions.

In this question need to solve  an equation with x and y in one equation.

Consider an equation with two variables: 5x + y = 8

If we solve given equation for x then it would be,

5x + y = 8

5x + y - y = 8 - y

5x/5 = (8 - y)/5

x = (8 - y)/5

for any arbitrary real value value of y we can find the value of x.

This means there are infinitely many solutions.

If we solve given equation for y then it would be,

5x + y = 8

5x + y - 5x = 8 - 5x

y = 8 - 5x

for any arbitrary real value value of x we can find the value of y.

Therefore, an equation with two variables has infinitely many solutions.

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Answer:  3(7+12) - 2

Step-by-step explanation:

Answer:

the answer is 124 degrees my friend

To calculate the probability of selecting a boy or a red-haired person as a homeroom representative to student council, we need to find the probability of each event and then use the formula P(A or B) = P(A) + P(B) - P(A and B).

There are 31 students in total (16 girls + 15 boys). The probability of selecting a boy is 15/31.

There are 5 red-haired students (3 girls + 2 boys). The probability of selecting a red-haired person is 5/31.

However, we need to account for the overlap between boys and red-haired students. There are 2 red-haired boys, so the probability of selecting a red-haired boy is 2/31.

Now we can use the formula: P(boy or red-haired) = P(boy) + P(red-haired) - P(boy and red-haired) = (15/31) + (5/31) - (2/31) = 18/31.

So, the probability of selecting a boy or a red-haired person as a homeroom representative to student council is 18/31.

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