what percentage of 23 miles is 27 miles? round your answer to the nearest hundredth of a percentage point.

Answer:

[tex]3.\quad 2\sqrt{7}\\\\4.\quad \dfrac{2}{\sqrt{5}}[/tex]

[tex]5.\quad \dfrac{1}{\sqrt{2}}[/tex]

[tex]6.\quad\dfrac{5}{7}[/tex]

Step-by-step explanation:

To simplify radicals find the factors and simplify the square roots of the factors

#3 : √28

28 = 4 x 7  

√28 = √(4 x 7) = √4 x √7 = 2 x √7 = 2√7

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

[tex]\#4:\quad \sqrt{ \dfrac{4}{5}}\\\\\sqrt{ \dfrac{4}{5}} = \dfrac{\sqrt{4}}{\sqrt{5}} = \dfrac{2}{\sqrt{5}}[/tex]

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

[tex]\#5\quad \dfrac{3}{\sqrt{18}}\\\text{Denominator } \sqrt{18 }= \sqrt{9 \times 2} = 3\sqrt{2}\\\\ \dfrac{3}{\sqrt{18}}= \dfrac{3}{3\sqrt{2}} = \dfrac{1}{\sqrt{2}}[/tex]

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

[tex]\# 6 \quad \sqrt{\dfrac{25}{49}}\\\\\sqrt{25} = 5\\\\\\\sqrt{49} = 7\\\\[/tex]

[tex]\sqrt{\dfrac{25}{49}}= \dfrac{5}{7}[/tex]

Answer:

k

Step-by-step explanation:

2x+13<5x−20

Subtract 5x from both sides.

Combine 2x and −5x to get −3x.

Subtract 13 from both sides.

Subtract 13 from −20 to get −33.

Divide both sides by −3. Since −3 is negative, the inequality direction is changed.

​

x>11

Answer:

We know that, the sum of interior angles of an n-sided polygon is (n−2)×180⁰

For a pentagon, n=5

so,

[tex] \implies \rm \: 6x + 6y = (n - 2)180[/tex]

[tex] \implies \rm \: 6(x + y) = (5 - 2)180[/tex]

[tex] \implies \rm \: 6(x + y )= 3 \times 180[/tex]

[tex] \implies \rm \: (x + y) = \dfrac{3 \times 180}{6} [/tex]

[tex] \implies \rm \: (x + y) = \dfrac{ 3 \times \cancel{180} \: \:30}{ \cancel6} [/tex]

[tex] \rm \implies \: x + y = 90[/tex]

[tex] \underline{\boxed{\implies \rm \: y= 90 - x}}[/tex]

There are many formulas related to a pentagon. A few basic ones are given below.

The volume of the washer as per the given dimensions is calculated to be 7,854 mm³.

In order to calculate the volume of the washer, we are required to subtract the volume of the hole in the center from the volume of the solid cylinder with the outer radius. The volume of the solid cylinder with the outer radius can be calculated using the formula:

V1 = πr1²h   (Here, r1 is the outer radius and h is the thickness)

Substituting the given values, we have:

V1 = π(30mm)²(5mm) = 14,137.17 mm³

The volume of the hole in the center can be calculated using the same formula, but with the inner radius,

V2 = πr2²h   (Here r2 is the inner radius and h is the thickness)

Substituting the given values, we have:

V2 = π(20mm)²(5mm) = 6,283.19 mm³

Therefore, the volume of the washer is:

V = V1 - V2 = 14,137.17 mm³ - 6,283.19 mm³ = 7,853.98 mm³

Therefore, on rounding the obtained result to the nearest whole millimeter, the final volume is calculated to be 7,854 mm³.

Learn more about the calculation of  volume of cylinders :

https://brainly.com/question/16134180

#SPJ4

The complete question is :

What is the volume of a washer with an outer radius of 30 mm, an inner radius of 20 mm, and a thickness of 5 mm? (Round your answer to the nearest whole millimeter)

Answer:

58 degrees

Step-by-step explanation:

51+27=58 degrees

second one is 56 degrees

132-76=56 degrees

Answer:

The answer to 1 + 1 is 2.

Very complicated problem, please mark brainliest!

Answer:

1+1 = 2

Or, 1=2-1

1=1

we know value of one is one

so,

1+1=11

The total length of the rope in feet required by Patty to make a ladder is equal to 17.5 feet.

length of each piece of rope = 18 inches

Convert the length of the pieces of rope into feet.

One foot is equal to 12 inches

⇒ 18 inches =  18/12 feet

⇒ 18 inches = 1.5 feet.

Since Patty needs five of these pieces of rope.

The total length of rope needed for the steps is equal to,

5 x 1.5 = 7.5 feet

Patty also needs two pieces of rope that are each 5 feet long for the sides of the ladder.

Total length of rope needed for the ladder is,

2 x 5 = 10 feet

Add up the total length of all the pieces of rope required for the ladder,

7.5 + 10 = 17.5 feet

Therefore, Patty needs 17.5 feet of rope to make the ladder.

learn more about feet here

brainly.com/question/15451244

#SPJ4

The given question is incomplete, I answer the question in general according to my knowledge:

Patty is building a rope ladder for a tree house. She needs two 5-foot pieces of rope for the sides of the ladder. She needs 5 pieces of rope, each 18 inches long, for the steps. How many feet of rope does Patty need to make the ladder?

Answer:

2.31 Years

Step-by-step explanation:

To calculate the time it will take for ₹5000 to grow to ₹5618 with a 6% annual interest rate when compounded annually, we can use the following formula:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (₹5618)

P = the principal amount (₹5000)

r = the annual interest rate (6% or 0.06)

n = the number of times the interest is compounded per year (1, since it's compounded annually)

t = the time period in years

Plugging in the values, we get:

5618 = 5000(1 + 0.06/1)^(1t)

Simplifying:

1.1236 = 1.06^t

Taking the natural logarithm of both sides:

ln(1.1236) = ln(1.06^t)

Using the power rule of logarithms:

ln(1.1236) = t ln(1.06)

Solving for t:

t = ln(1.1236) / ln(1.06)

t ≈ 2.31 years

Therefore, it will take approximately 2.31 years for ₹5000 to grow to ₹5618 at a 6% annual interest rate when compounded annually.

Answer:

i think 16 im not sure

Step-by-step explanation:

Kevin made a down payment of $1500 for his automobile leasing. Kevin's monthly payment for a 36-month rental with an overall cost of $4,200 will be $200 if he opts to buy the vehicle outright for $16,700.

A deposit on a property is a typical illustration of a down payment. The down payment for a property can range from 5% to 25%, with the remaining amount being covered by a mortgage obtained from a bank or another financial institution.

A commitment is retained by a 3rd person in trust, only until date of completion when it constitutes a component of the deposit.

To know more about down payment visit:

https://brainly.com/question/30723927

#SPJ1

The complete question is:

Kevin made a down payment of $1,500 for his car lease. His monthly payment amount is $200 for 36 months. What is the total cost of the lease if Kevin purchases the car. The residual value at the end of the lease is $8,000?

a. $14,500

b. $15,200

c. $16,700

Answer: 16,700

Step-by-step explanation:

....

The simplified polynomial, with each term written in standard form, is: 36a^3b - 6a^2b^3 + 11a^2b

To simplify the given polynomial, we need to expand and combine like terms.

First, we can distribute the coefficients of the first term:

12a^2 · 3ba = 36a^3b

Next, we can simplify the second term by multiplying the coefficients and adding the exponents:

-2ab · 3ab^2 = -6a^2b^3

Finally, we can combine the like terms:

36a^3b - 6a^2b^3 + 11a^2b

To write each term in standard form, we arrange the terms in decreasing order of exponents of 'a' and 'b':

36a^3b - 6a^2b^3 + 11a^2b

So, the simplified polynomial, with each term written in standard form, is:

36a^3b - 6a^2b^3 + 11a^2b

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

The coordinates of point C are: C = (2 + (3/2) * √(13), 2 + (3/2) *√ ((13))

How to find coordinates of point?

To find the coordinates of point C, we can use the midpoint formula, which gives the coordinates of the midpoint of a line segment. We know that point C is 3/4 of the way from point A to point B, so it is closer to B than to A. Therefore, we can find the coordinates of C by finding the midpoint of the line segment AB and then moving 3/4 of the distance from the midpoint to B.

The midpoint of AB can be found by averaging the x-coordinates and the y-coordinates of A and B, respectively:

Midpoint M = ((-4 + 8)/2 , (-2 + 6)/2) = (2, 2)

Now, we need to find the distance from M to B and move 3/4 of that distance in the direction of B. We can use the distance formula to find the distance between two points:

distance MB = √((8 - 2)² + (6 - 2)²) = √(36 + 16) = √(52)

So, the distance from M to C is 3/4 of √(52), which is:

distance MC = (3/4) * √(52) = (3/4) * 2 * √(13) = (3/2) * √(13)

To move in the direction of B, we need to add the x-component and y-component of the distance MC to the x-coordinate and y-coordinate of M, respectively:

x-coordinate of C = 2 + (3/2) * √(13)

y-coordinate of C = 2 + (3/2) * √(13)

Therefore, the coordinates of point C are:

C = (2 + (3/2) * √(13), 2 + (3/2) * √(13))

To know more about point visit:-

https://brainly.com/question/13107415

#SPJ1

The upper bound of a + b can be found by adding the upper bounds of a and b.

For a = 5cm, the nearest whole number is 5. The upper bound would be the midpoint between 5 and 6, which is 5.5.

For b = 3cm, the nearest whole number is 3. The upper bound would be the midpoint between 3 and 4, which is 3.5.

So the upper bound of a + b is:

5.5 + 3.5 = 9

Therefore, the upper bound of a + b is 9cm.

The expressions that have values less than 0 are a) and b)

According to the question

Here's how you can use a number line to solve this problem:

For example in expression a) -5 + 3, start at zero and move 5 units to the left (because of the negative sign on 5), and then move 3 units to the right. The final position is at -2, which is to the left of zero. Therefore, expression a) has a value that is less than zero.

Similarly expression b) has a value that is less than zero.

Also expressions c) and d) can be solved in the same way. If the final position is to the right of zero, the expression does not have a value that is less than zero.

In conclusion, expressions a) and b) have a value that is less than zero, while expressions c) and d) do not.

What is a number line?

A number line is a visual representation of real numbers arranged in a straight line used to compare, add, and subtract numbers.

What is meant by expressions?

An expression is a combination of numbers, variables, and mathematical operations used to represent a quantity or a mathematical statement.

To know more about expressions visit:

https://brainly.com/question/29696241?referrer=searchResults

#SPJ1

Therefore, the length of the larger part is 9 units.

A ratio is a comparison of two quantities that measures how many times one quantity is contained within the other. It is expressed using the symbol ":" or as a fraction. For example, a ratio of 2:3 (or 2/3) means that one quantity is two-thirds the size of the other quantity. Ratios can be used to compare various quantities, such as length, area, volume, weight, or even numbers of objects. They are commonly used in mathematics, finance, and many other fields.

Here,

If the line segments are divided in the ratio of 2:3, this means that the smaller part is 2 units and the larger part is 3 units. We know that the length of the smaller part is 6 units, so we can set up a proportion:

2/3 = 6/x

where x is the length of the larger part. We can solve for x by cross-multiplying:

2x = 3*6

2x = 18

x = 9

To know more about ratio,

https://brainly.com/question/29467965

#SPJ1

Answer:49

Step-by-step explanation:

Hence , it is to be quadratic function where a has to be less than zero or

A quadratic function with a negative value of a.

Given that ,

The table contains data on the number of people visiting a historical landmark over a period of one week.

We have to find,

The relationship between the day and the number of visitors.

According to the question,

y = a√x +b

And where x = no. of days = 1

y = no. of visitors = 45

45 = a √1  + b

45 = a + b

And When x = 2 and y = 86

86 = a √2 +b

Solving the equation for the values of a and b.

From equation 1

45 - a = b

Put the value of b in equation 2

⇒ 86 =  + 45 - a

⇒ 86 - 45 = a √2 - a

⇒ 41 = a (√2 - 1 )

⇒ a = [tex]\frac{41}{\sqrt{2}- 1 }[/tex]

⇒ a = 41/0.41

⇒ a = 100

Put the value of a = 100

45 = 100 + b

45 - 100 = b

b = -55

Now,

The required equation is y = 100 -55.

When  x = 4

   y = 100√2 - 55

⇒ y = 100(1.4) - 55

⇒ y = 140 - 55

⇒ y = 85

And,

when x = 5

   y = 100√5 - 55

⇒ y = 223.5 - 55

⇒ y = 168.60

⇒ y = 168 ( approx. )

Therefore, 168 ≠ 158

Since the function rises less and less in later stage , it can not be a first order function.

So, it is to be quadratic function where a has to be less than zero.

Learn more about Quadratic Function:

https://brainly.com/question/30098550

#SPJ4

If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a sample proportion as large as or larger than the one obtained by the botanist.The correct answer is option C

The P-value is the probability of obtaining an outcome as extreme or more extreme than the one actually observed given that the null hypothesis is true. In this case, the null hypothesis is that the proportion of trees classified as softwood is 0.60. The P-value of 0.015 indicates that the probability of obtaining a sample proportion as large as or larger than the one obtained by the botanist is 0.015 if the null hypothesis is true.

Therefore, the P-value is an indicator of how well the sample data supports the null hypothesis. In this case, the P-value of 0.015 is lower than the commonly accepted significance level of 0.05, which indicates that the sample data does not support the null hypothesis and suggests that the proportion of trees classified as softwood is actually greater than 0.60.

To know more about probability, click here:

https://brainly.com/question/14604645

#SPJ11

Answer:

I'm sorry, your question is not clear. Please provide more information or context so I can better understand what you are asking.

Step-by-step explanation:

The equation m = 12 + 2Y1 gives the slope of the line through the points P1=(-1.5, Y1) and P2=(-2, -6)

To find a point's coordinates in a coordinate system, you perform the opposite. Starting at the point, move vertically up or down until you reach the x-axis. Your x-coordinate is shown there. Afterwards, you'll be able to get a better understanding of how to use it.

It is assumed that the formula you supplied would be used to determine the slope (m) of the line connecting the two specified points, P1 and P2.

We may use the following formula to find the slope (m) of the line passing through the coordinates P1=(X1, Y1) and P2=(X2, Y2):m = (Y2 - Y1) / (X2 - X1) (X2 - X1)

Using the values provided:

P1 = (-1.5, Y1) (-1.5, Y1)

P2 = (-2, -6) (-2, -6)

These values can be used as substitutes in the formula:

m = (-6 - Y1) / (-2 - (-1.5))

Making the denominator simpler:

m = (-6 - Y1) / (-2 + 1.5)

m = (-6 - Y1) / (-0.5)

m = 12 + 2Y1

To know more about equation visit:-

https://brainly.com/question/29657988

#SPJ1

Question:

Formula: m=;

X₂-X1

P₁ = (X₁, Y₁) P₂ = (X2, Y₂)

1) P₁=(-1.5) and P₂=(-2,-6)

How to solve this exercise of linear equations of two points.

Answer:

  right angle

Step-by-step explanation:

You want to know the kind of angle formed between a radius and a tangent.

A tangent to a circle is always perpendicular to the radius at the point of tangency.

The angle is a right angle.

Answer:1st one

Step-by-step explanation:

Answer:

Step-by-step explanation:

27/9a

= 3^3/3^2 a

= 3/a

All points belonging to any closed set in R2 are limit points of that set.

A limit point is a point in a metric space that can be approached arbitrarily closely by points of a sequence or a set. The definition is different from that of an isolated point, which has an open ball around it that does not include any other points of the set.

According to the definition of a limit point, every point in every open set in R2 is a limit point of the set. This is because there is always at least one other point in the open set that is within a specified distance of the point in question.

As a result, every point in every open set in R2 is a limit point of the set. We can answer the same question for closed sets in R2. A closed set in R2 contains all of its limit points. A closed set, by definition, includes its boundary.

As a result, every point in every closed set in R2 is a limit point of the set.

To know more about the "limit point": https://brainly.com/question/23935467

#SPJ11

Answer:

actual length = 15 feet

Step-by-step explanation:

using the conversion

12 inches = 1 foot

the actual length  = 40 × scale length = 40 × 4.5 = 180 inches = 180 ÷ 12 = 15 feet

Answer: THIS IS THE ANSWER

The planet XYZ traveling about the star ABC in a circular orbit takes 24 hours to make an orbit. Assume that the orbit is a circle with a radius of 83,000,000 mi. The linear speed of XYZ in miles per hour is approximately 1,093,333 miles per hour.

  What is the orbit and what is the linear speed?

           An orbit refers to the path taken by an object, such as a planet, as it circles around another object, such as a star. The speed of the planet is its rate of movement, measured in linear units like miles or kilometers per hour, as it travels around the orbit.

         These are terms that are important to understanding the solution to the problem provided. The linear speed of XYZ in miles per hour is approximate _____ miles per hour. (Round to the nearest integer as needed.)

        The planet XYZ travels around the star ABC in a circular orbit that takes 24 hours to complete. The orbit is a circle with a radius of 83,000,000 miles.

To find the linear speed of XYZ in miles per hour, it is necessary to use the formula for the circumference of a circle.

          Circumference = 2πr Circumference

                                    =2πr Substitute 83,000,000 for r in the formula.

          Circumference = 2π(83,000,000)

           Circumference = 522,000,000 π

     The orbit's circumference is 522,000,000 π miles.

      The distance traveled by XYZ in one hour is the linear speed. The linear speed of XYZ in miles per hour is calculated as follows:

             Speed = Distance/TimeSpeed

                         = Circumference/24Speed

                         = (522,000,000 π)/24

              Speed = 21,750,000 π

    The linear speed of XYZ in miles per hour is 21,750,000 π miles per hour.

To get an approximate answer, π is equal to 3.14.

             Speed ≈ 21,750,000 (3.14)

             Speed ≈ 68,295,000

 The linear speed of XYZ in miles per hour is approximately 68,295,000 miles per hour. Rounded to the nearest integer, the linear speed is approximately 1,093,333 miles per hour.

#SPJ11

Learn more about the orbit and what is the linear speed at: https://brainly.com/question/20709784

The formula for f(t) as a sum of Heaviside functions is f(t) = tuc(t) - tuc(t-3) + (2t-3)uc(t-3) - (2t-3)uc(t-4) + 5uc(t-4).

To express f(t) as a sum of Heaviside functions, we break down the function into its respective intervals and use the unit step function or Heaviside function to represent the function in each interval.

f(t) = t, 0 ≤ t ≤ 3

f(t) = 2t - 3, 3 < t ≤ 4

f(t) = 5, 4 < t

Using the Heaviside function uc for the jump at c, we can represent each interval as follows:

f(t) = tuc(t) - tuc(t-3), 0 ≤ t ≤ 3

f(t) = (2t-3)uc(t-3) - (2t-3)uc(t-4), 3 < t ≤ 4

f(t) = 5uc(t-4), 4 < t

Therefore, the formula is f(t) = tuc(t) - tuc(t-3) + (2t-3)uc(t-3) - (2t-3)uc(t-4) + 5uc(t-4)

Learn more about the Heaviside functions at

https://brainly.com/question/30891447

#SPJ4

Hi!

Your answer is 11 and 4.
11 x 4 = 44

11 + 4 = 15

Hope this helps!

~~~PicklePoppers~~~

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.

given

(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).

As we are aware, Q(10) = 200. (given in the problem statement).

We must take the derivative of Q(t) with respect to t in order to determine Q'(10):

Q'(t) = -5t + 250

Q'(10) = -5(10) + 250 = 200

We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):

Q''(t) = -5

Q''(10) = -5

The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.

With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.

[tex]P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2[/tex]

(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.

P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1