√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q. ​

9514 1404 393

Answer:

  3 days

Step-by-step explanation:

You can estimate the answer (correctly) by observing that 3 × 70 is 210. This is close enough to 232.85 that you know the number of rental days is not 2 or 4.

The equation for the number of days (d) is ...

  73.95d +11 = 232.85 . . . $73.95 per day plus an extra fee

  73.95d = 221.85 . . . . . . subtract 11

  d = 221.85/73.95 = 3 . . . . divide by the coefficient of d

The saw was rented for 3 days.

Answer:

3 days

Step-by-step explanation:

Answer:

A. <6

Step-by-step explanation:

Exterior angle of this geometric shape is 6

The exterior angle in the given figure is ∠6.

Option A is the correct answer.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

We see that the exterior angle is ∠6.

Now,

The exterior angle is the sum of its two nonadjacent interior angles.

So,

∠6 = ∠1 + ∠3

Thus,

The exterior angle is ∠6.

Learn more about angles here:

https://brainly.com/question/7116550

#SPJ7

Answer:

2⁸ and 2²⁴

Step-by-step explanation:

Pic attached..

Answer: (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.

Step-by-step explanation: To find dy/dx for the relation x³ + y³ = 9xy, we can use the chain rule. The chain rule states that if y is a function of x and x is a function of t, then the derivative of y with respect to t is equal to the derivative of y with respect to x times the derivative of x with respect to t.

In this case, we are given that y is a function of x and we want to find the derivative of y with respect to x. To do this, we can rewrite the given equation as follows:

x³ + y³ = 9xy

y³ = 9xy - x³

We can then take the derivative of both sides of the equation with respect to x to find dy/dx as follows:

3y² * dy/dx = 9y + 9x * dy/dx - 3x² * dy/dx

3y² * dy/dx = (9y + 9x * dy/dx) - 3x² * dy/dx

0 = (9y + 9x * dy/dx) - (3y² * dy/dx + 3x² * dy/dx)

0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx

We can then solve this equation for dy/dx as follows:

0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx

9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y

9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y

dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x

dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x

Therefore, the derivative of y with respect to x for the given equation is equal to (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.

Answer

\(\frac{dy}{dx}\)

Step-by-step explanation:

Your welcome ;)

Answer:

x < 6

Step-by-step explanation:

3x < 18 ( divide both sides by 3 )

x < 6

The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

To know more about profit visit:

brainly.com/question/29959522

#SPJ1

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

For more such questions on probability visit:

https://brainly.com/question/251701

#SPJ8

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

More can be learned about transformations at https://brainly.com/question/28687396

#SPJ1

The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

To learn more about the factorization from the given link

https://brainly.com/question/1315628

#SPJ1

4.5=5

57.3=57

34.731=35

215.39=215

Answer:

2: option 4; 10: option 4; 9: option 4; 6: option 1

Step-by-step explanation:

for 2, the angle of S is equal to Q

for 10, take 180, and subtract all the other numbers to find the last one

for 9, its 4 because the segments are a

A to B, A to C, and B to D

for 6, its 1 because TU is perpendicular (crosses) MN, and MN is perpendicular (will never cross) to PQ

Answer:

13.56 i think

Step-by-step explanation:

Answer:

11)  \(y=-(x-6)^2+4\)

12)  \(y=(x+5)^2\)

Step-by-step explanation:

Vertex form of a parabola:  

\(y=a(x-h)^2+k\)  where (h, k) is the vertex

From inspection of the graph, the vertex is (6, 4)

\(\implies y=a(x-6)^2+4\)

To find \(a\), substitute the coordinates of a point on the curve into the equation.

Using point (4, 0):

\(\implies a(4-6)^2+4=0\)

\(\implies a(-2)^2+4=0\)

\(\implies 4a=-4\)

\(\implies a=-1\)

Therefore, the equation of the parabola in vertex form is:

\(y=-(x-6)^2+4\)

From inspection of the graph, the vertex is (-5, 0)

\(\implies y=a(x+5)^2\)

To find \(a\), substitute the coordinates of a point on the curve into the equation.

Using point (-3, 4):

\(\implies a(-3+5)^2=4\)

\(\implies a(2)^2=4\)

\(\implies 4a=4\)

\(\implies a=1\)

Therefore, the equation of the parabola in vertex form is:

\(y=(x+5)^2\)

We need equation of the parabolas

#1

One x intercept is present (4,0)

Now put that in vertex form of parabola

So

equation

#2

So equation

See the general quadratic equation having vertex (0,0) is shifted to (-5,0) means 5 units left .

So there is no a means a=

Equation remains same

- [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)] is the expression for the potential difference between the two points.

The potential difference between two points in an electric field can be calculated using the equation ΔV = - ∫Edl, where Edl is the dot product of the electric field vector and the displacement vector between the two points. In this case, we have the components of the electric field, Ex and Ey. To calculate the potential difference, we need to find the displacement vector between the two points.

The given points are ~3rY and 3x'X, so the displacement vector can be expressed as dl = (3x'X - 3rY)i + (3rY - 3x'X)j. Substituting this into the equation for ΔV, we get:

ΔV = - ∫ (Exi + Eyj) . (dl)

= - ∫ [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)]

= - [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)]

Learn more about the potential difference at

https://brainly.com/question/12198573

#SPJ4

The question is -

The numeric components of the electric field in a region of space can be calculated using the equations Ex=6xy and Ey= -5. Which of the following expressions fields the potential difference between the points ~3rY 3x'X 3X'X - 5

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

For more questions on expressions

https://brainly.com/question/30715930

#SPJ8

Answer:

  t = 200/v

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  d = vt

Solving for t gives ...

  t = d/v

For a distance of d=200 km, the time in hours will be ...

  t = 200/v . . . . . . where v has units of km/hour

The area of a segment of a circle is (12π-9√3) square inches.

We have to determine the area of a segment of a circle.

The formula for the area of the sector that:

Arc length = πr² (θ/360)

Where r = the radius of the circle,

θ = the angle (in degrees) subtended by an arc at the center of the circle.

As per the shown figure, it is given that:

Central angle θ = 120°

The radius of a circle r = 6 in.

The area of the sector A₁ = π(6)² (120/360)

The area of the sector A₁  = 12π in²

The area of the triangle within the sector:

A₂ = 1/2 × (6√3)(3) = 9√3 in²

Now, the area of the segment is:

A₁ - A₂ = (12π - 9√3) in²

Therefore, the area of a segment of a circle is (12π-9√3) square inches.

Learn more about the arc of the circle here:

brainly.com/question/1577784

#SPJ1

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ11

a. xy + \(y^{2}\) = y ( x + y)

b. xy + x = x(y + 1)

c. \(a^{2b} + ab^{2}\) = a ( \(a^{2b-1}\) + \(b^{2}\))

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

For such more questions on simplified form

https://brainly.com/question/28323654

#SPJ8

Step-by-step explanation:

hope you can understand

Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer:

Step-by-step explanation:

Answer:

(52,56)

Step-by-step explanation:

For the given equation, c = 11.5t where t is the number of tickets to watch movie and c is the total cost to watch movie then table representing the equation is given by

option B:

Number of tickets :     1             2

Cost in dollars      :    $11.50      $23

As given in the question,

Given equation to represents the total cost to watch a movie related to number of tickets of movie.

c = 11.5t

Where t is the number of tickets to watch movie and c is the total cost to watch movie.

Table which represents the given situation is given by:

Option A:

Number of tickets cannot be in decimals that is 0.09 and 0.17.

Incorrect.

Option B.

Number of ticket  = 1

cost 'c' = 11.5(1)

          = $11.5

when t = 2

c = 11.5(2)

  = $23

Correct.

Option C:

Number of tickets cannot be in decimals that is 11.5.

Option D:

when t = 1

c = $0.09 is incorrect.

Therefore, For the given equation, c = 11.5t where t is the number of tickets to watch movie and c is the total cost to watch movie then table representing the equation is given by

option B:

Number of tickets :     1               2

Cost in dollars      :    $11.50      $23

Learn more about equation here

brainly.com/question/10413253

#SPJ1

We can find the slope using the following equation:

in this case, we have the following:

therefore, the slope of the line is m = 2

The point that is three-fifths of the way from -3 to 3 on the number line is 0.6.

To find the point on the number line that is three-fifths of the way from -3 to 3, we can use the concept of the distance between two points and the idea of a fraction of that distance.

The distance between -3 and 3 is 3 - (-3) = 6.

To find three-fifths of this distance, we can multiply the distance by the fraction 3/5.

(6) * (3/5) = 18/5 = 3.6

So, three-fifths of the distance from -3 to 3 is 3.6.

To find the point that is three-fifths of the way from -3 to 3, we start at -3 and move 3.6 units to the right.

-3 + 3.6 = 0.6

Therefore, the point that is three-fifths of the way from -3 to 3 on the number line is 0.6.

In conclusion, the point 0.6 is three-fifths of the way from -3 to 3 on the number line.

For similar question on number line.

https://brainly.com/question/31010495

#SPJ8

Answer:

r=2.9cm

Step-by-step explanation:

we know the formula, mass= density*volume

as a result we can figure out the volume = mass/density

=485/8 cm^3

=60.625cm^3

here comes another formula of volume of cone = \(\frac{1}{3}\)\(\pi\)\(r^{2}\)\(h^{}\)

we will use this to find the radius,

\(\frac{1}{3}\)\(\pi\)\(r^{2}\)\(h^{}\)=60.625

\(\pi\)\(r^{2}\)\(h^{}\)=181.875

h is 70mm which we will turn to 7cm

\(\pi\)\(r^{2}\)*7=181.875

\(r^{2}\)=8.27

r=2.875825cm

r=2.9cm

nice question. hope this helps