(B^3)^2 without exponents

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Queremos derivar la expresión dada, obtendremos el resultado:

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

Asumo que la expresión dada es:

\(y = \sqrt[3]{3x^3 - 2x + 5} = (3x^3 - 2x + 5)^{1/3}\)

Para derivar esto primero usamos la regla de la composición, si:

f(x) = g(h(x))

entonces la derivada de la función f(x) se puede escribir como:

f'(x) = g'(h(x))*h'(x)

Usando está regla y tomando:

Obtendremos:

\(y = (1/3)*\frac{3*3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}} = \frac{3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}}\)

Lo cual nos da la derivada deseada.

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This is an experimental study.

This study demonstrates an experimental design, as the intervention (tutoring and study skills advice) was used to examine the impact it had on the test scores.

An experimental study is used to examine the effects of an intervention or treatment on a group of participants. In this case, the study involved two groups of algebra students, one of which was given additional help in the form of tutoring and study skills advice while the other was not. After a few weeks, the students took a test and the results of the two groups were compared. This study demonstrates an experimental design, as the intervention (tutoring and study skills advice) was used to examine the impact it had on the test scores.

This study demonstrates an experimental design, as the intervention (tutoring and study skills advice) was used to examine the impact it had on the test scores.

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The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28

Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

Answer:

y=-4x+13 this is what i think

Step-by-step explanation:

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

The domain of the given set of functions is (Alex, Alesia, Bob,  Yolanda, Maria , Elvis)

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A-> B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.

The domain of the given set of functions is (Alex, Alesia, Bob,  Yolanda, Maria , Elvis)

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Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

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Answer:

Some rational numbers that you can use are numbers like 25 and 12.5

An irrational number that you can use is π = 3.14159265...

Step-by-step explanation:

Pls give me brainliest thx

If it's wrong then don't bother

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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Answer: 20

Step-by-step explanation:

X+4, Y+3

Answer:

x = 60

Step-by-step explanation:

(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)

(2x + 60)° = 180°

2x + 60 = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60

Answer:

81

Step-by-step explanation:

(45÷100)*180

Answer:

To find the number that 180 is 45% of, we can use the formula:

180 = 0.45x

where x is the unknown number.

To solve for x, we can divide both sides of the equation by 0.45:

180 / 0.45 = x

which simplifies to:

400 = x

Therefore, 180 is 45% of 400.

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Answer:

C. 27

Step-by-step explanation:

27 + 23 = 50

:)

Answer: hii :)

i know this oneeeee ^^ your answer is 27 <3

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

hopefully this helps you

- Matthew ~

Cost of direct materials per equivalent unit = $0.45.

Conversion cost per equivalent unit = $0.12.

The FIFO method is the First In First Out method. It is an accounting method used for cost flow assumption purposes in the cost of goods sold calculation.

In the Bottling Department,

The cost of direct materials transferred = $27,225.

The conversion cost = $7,596.

The total equivalent units for,

Direct materials = 60,500 liters.

conversion = 63,300 liters.

By using FIFO method,

The cost  of Direct materials per equivalent unit = \(\frac{27,225}{60,500}\)

                                                                                =$0.45

Conversion cost per equivalent unit = \(\frac{7596}{63,300}\)

                                                            = $0.12

Hence, the cost of direct materials and conversion cost per equivalent unit is $0.45 and $0.12 respectively.

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The area of the rectangular shape is 77 square ft and the area of the trapezoidal shape is 154 square ft.

The size of a region on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

The area of the rectangular shape is:-

Area = Length x Width

Area = 7 x 11

Area = 77 square ft

The area of the trapezoid is:-

Area = 1/2 x h x ( a + b )

Area = 1/2 x 11 x ( 8 + 20 )

Area = 154 square ft

Therefore, the rectangular shape's area is 77 square feet, while the trapezoidal shape's area is 154 square feet.

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The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Answer:

no

Step-by-step explanation:

Hi, there!

 ______

\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)

(1)

 - The slopes of parallel lines are identical.

{The line \(\sf{y=7x-1}\) has a slope of 7}

Thus,

{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}

(2)

 - The slopes of perpendicular lines are negative inverses of each other.

The negative inverse of 7 is

\(-\dfrac{1}{7}\).

Therefore,

\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                 \(\tiny\boldsymbol{Frozen \ melody}\)

Answer:

wn work

Step-by-step explanation:

Answer:

27.7142857143 this is the awnser

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Solution:

Given:

The distance between the points is gotten using the formula;

Hence,

Therefore, the distance between (3,4) and (2,1) is;

Answer:

x = 2

Step-by-step explanation:

8x + 4(-6x + 4) = -6 - 5x

8x - 24x + 16 = -6 - 5x

-16x + 16 = -6 - 5x

-16x + 5x = -6 - 16

-11x = -22

x = 22 ÷ 11

x = 2

Answer:

x = 0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*x+8/6-(1/3*(x+4))=0

Simplify 1/3

Equation at the end of step  1 :

(2x +  8/6) -  (1/3 * (x + 4))  = 0  

STEP  2 :

Equation at the end of step 2

 (2x + 8/6) -  (x+4)/3  = 0  

STEP  3 :  

Simplify 4/3

Equation at the end of step  3 :

(2x + 4/3) -  (x+4)/3  = 0  

STEP  4 :

Rewriting the whole as an Equivalent Fraction

Adding a fraction to a whole

Rewrite the whole as a fraction using  3  as the denominator :

2x =  2x/1  =  2x*3/3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x * 3 + 4/3  =  6x+4/3

Equation at the end of step  4 :

(6x+4)/3 -  (x+4)/3  = 0  

STEP  5 :  Pulling out like terms

Pull out like factors :

6x + 4  =   2*(3x + 2)  

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2*(3x+2)-((x+4))/3  =  5x/3

Equation at the end of step  5 :

5x/3 = 0  

STEP  6:  When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, multiply both sides of the equation by the denominator.

Here's how:

5x/3*3 = 0*3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

5x  = 0

Solving a Single Variable Equation:

Solve  :    5x = 0  

Divide both sides of the equation by 5:

x = 0

Answer:

I did the math there is no answer

Answer:

Step-by-step explanation:

Answer:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92

Step-by-step explanation:

Total expenses for this year: $214.00

The child fee will be: $x

and the adult fee will be $(x+2)

Last year the number of children was 44

and the number of adults was 33

this year also has the same number of children and adults.

which means the entrance fee total for children will be $44x and for adults will be $33(x+2).

44x + 33(x+2) = 214

--> 44x + 33x + 66 = 214

--> 77x = 214 - 66 = 148

--> x = 148/77 = 1.92

So children's price is $1.92 and adults price is $1.92 + 2

hence:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92