The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the length of the outer curve to the nearest foot? Use the value

Answers

Answer 1

Using the arc length formula, the length of the outer curve is approximately 85 feet.

How to Find the Length of an Arc?

Arc length = ∅/360 × 2πr.

Apply the arc length formula to find the length of the outer curve, given the following:

∅ = 70°π = 3.14r = 50 + 20 = 70 feet

Plug in the values

Arc length = 70/360 × 2(3.14)(70)

Arc length = 70/360 × 2(3.14)(70) ≈ 85 feet.

The length of the outer curve is approximately 85 feet.

Learn more about arc length on:

https://brainly.com/question/17329757

#SPJ1

The Transportation Department Has To Put A Railing Along The Outer Curve Of This Road. The Road Is 20

Related Questions

The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs 3200 pounds on Planet A, find the
elephant's weight on Planet B.

The elephant's weight on Planet B is….. lb.

Answers

A ratio shows us the number of times a number contains another number. The elephant's weight on Planet B is 96 pounds.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3.

Weight on Planet A/ Weight on planet B = 100 / 3

Now, the weight of the elephant on planet A to Planet B will be,

elephant's weight on Planet A/elephant's weight on Planet B = 100 / 3

elephant's weight on Planet B = (3 ×3200)/100

elephant's weight on Planet B = 96 pounds

Hence, the elephant's weight on Planet B is 96 pounds.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ1

Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
Check all that apply.

Answers

Answer:c

options A  and B

Step-by-step explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes

It becomes

Two sides of 30-60-90 triangle cannot be equal

so option c  and option D are not possible

sqrt(2) is also not possible  because we have sqrt(3) in general ratio

PLS MARK ME AS BRAINLIEST.

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week:

Weekly Duration of Household Chores

Time (in hours) 0–1 2–3 4–5 6–7
Number of Students 32 64 3 1


There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?

A 480
B 960
C 1020
D 1440

Answers

The students in the school would be expected to do household chores for at least two hours every week with 1020 students.

We have given

Time (in hours)                  0–  1    2–3     4–5    6–7

Number of Students         32   64          3        1

What is the random sample?

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

The keyword is at least, this means anything under that number will not qualify.

So that leaves 68 out of the 100 sample students.

So if you want to have the same thing but with 1,500 students.

Take off the 2 zeros at the end of 1500 and multiply by 68 to get your answer.

This is because there are 2 zeros in 100, so to cancel out the 2 zeros in 100, take out the 2 zeros in 1500 making it a lot easier.

To learn more about the random sample visit:

https://brainly.com/question/24466382

#SPJ1

PLEASE ANSWER

Consider the data set displayed on the following box plot.

Which of the following statements about the data set are true? Select all that apply.


A.The interquartile range is 10.

B.There is one outlier.

C.There are no outliers.

D.The data is skewed.

E.The interquartile range is 8.

F.There are two outliers

G.The data is symmetric.

Answers

The true statements are:

The interquartile range is 10.

The data is skewed.

What are the true statements?

A box plot is used to study the distribution and level of a set of scores

The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The interquartile range is the difference between the first and third quartile.

Interquartile range = 9 - (-1) = 10

A box plot is negative skewed because the median is not at the center of the box.

An outlier would be within: (Q1 - 1.5 * IQR or Q3 + 1.5 * IQR).

- 1 - (1.5 x 10 ) = -16

9 + (1.5 x 10) = 24

To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ1

how much is 0.54/0.2

Answers

Answer:

2.7 is the answer!!

Step-by-step explanation:

hope this helps :)

John deposits a certain amount that is compounded continuously at 8% interest. Find the number of years it takes to double the amount.

Answers

Answer:

  about 8.66 years

Step-by-step explanation:

The multiplier of account value when interest is compounded continuously is ...

  k = e^(rt)

where r is the annual interest rate, and t is the number of years.

Setup

We want to find t when k=2 and r=0.08. Putting these values in the formula gives ...

  2 = e^(0.08t)

Solution

Taking logs of both sides, we have ...

  ln(2) = 0.08t

  t = ln(2)/0.08 = 0.693147/0.08 ≈ 8.66

It takes about 8.66 years to double the amount.

__

Additional comment

If the interest rate is expressed in integer numbers of percentage points (R%), then the doubling time is ...

  t = 100·ln(2)/R ≈ 69.3147/R

Here, that is 69.3147/8 ≈ 8.66.

The "rule of 72" is used to estimate the doubling time for periodically compounded interest at rate R%. That rule tells you the time is t ≈ 72/R. For most interest rates and compounding frequencies in a reasonable range, this gives a time within a reasonable amount of error.

For continuously compounded interest, we have shown the doubling time in years is 69.3147/R. (The exact value of the constant is 100·ln(2).) For the purpose here, a constant of 69.3 gives an estimate accurate to 3 sf.

What is this expression in simplified form?

Answers

Answer:

See below

Step-by-step explanation:

=  (-7)(11)(√(3*10) ) =  - 77 √(30)  

Find the y intercept of the line on the graph

Answers

Answer: y = -1

Step-by-step explanation:

When x = 0, y = -1

Also, you can think about it as when the graph of the line passes the y axis

Which of the following equations has the solution x = all real numbers?
O 4(3-x) + 7x = 4x + 12 + 2x
O 4(4-x) + 6x = x + 16 - 4x
O 3(4-x) + 6x = 4x + 12 - x
O 4(3-c) + 6x = 3x + 8x

Answers

Answer: 3(4-x) + 6x = 4x + 12 - x

Step-by-step explanation:

For the solution to be all real numbers, the left hand has to be identical to the right hand side.

1) [tex]4(3-x)+7x=12-4x+7x=12+3x[/tex], so wrong.

2) [tex]4(4-x)+6x=16-4x+6x=16+2x[/tex], so wrong.

3) [tex]3(4-x)+6x=12-3x+6x=12+3x=4x+12-x[/tex], so correct.

4) Wrong variable, so eliminate immediately.

Tyler spent 17,700 seconds completing a 1,000 piece puzzle.
How many hours is this equivalent to? Answer choices are rounded
to the nearest hour.
O 288 hours
O 20 hours
5 hours
O124 hours

Answers

Answer is 5 hours
Explained
I divided 17,700 by 60 seconds to get minutes
Then I divided by 60 minutes to get hours
4.916 hours rounded to 5 hours

15. Which one of the following is a geometric sequence?
O A. 0, 1, 2, 3,...
O B. 2, -3, 92, -18/4
O C. -7, 10, 23, 36, ...
O D. 8, 4, 2, 1, 1/2, ¹/4....

Answers

It should be C I think i did this question before as well.
Should be c or d, I’ve done this before also

Name this triangle by its sides and angles. This is a(n) ____________________ triangle. a triangle with one right angle and three non-congruent sides obtuse, isosceles obtuse, scalene right, scalene right, isosceles

Answers

Answer:

c

Step-by-step explanation:

in the x-y plane, what is the y- intercept of the graph of the equation y=6 (x-1/2) (x+3)

Answers

The y-intercept on the x-y plane is (0, -9).

How to get the y-intercept?

To get the y-intercept we just need to evaluate in x = 0.

Here we have:

y = 6*(x - 1/2)*(x + 3)

Evaluating the given equation in x = 0 we get:

y = 6*(0 - 1/2)*(0 + 3) = -9

Then the y-intercept on the x-y plane is (0, -9).

If you want to learn more about y-intercepts:

https://brainly.com/question/1884491

#SPJ1

Answer:

-9

Step-by-step explanation:

Please help!!! Suppose we have two functions...

Answers

Answer:

4

Step-by-step explanation:

To find f(-1)g(-1) which is f(-1)*g(-1), first, we must find what are values of f(-1) and g(-1) first which can be found by substituting x = -1 in both functions.

[tex]\displaystyle{f(-1)=(-1)^2+1}\\\\\displaystyle{f(-1)=1+1 = 2}[/tex]

Now we know that f(-1) is 2, next, we find g(-1).

[tex]\displaystyle{g(-1) = 3(-1)+5}\\\\\displaystyle{g(-1)=-3+5 = 2}[/tex]

Now we know that g(-1) is 2 too. Since the question wants to find f(-1)g(-1), therefore 2*2 = 4.

Hence, the answer is 4.

Answer:

D) 4

Step-by-step explanation:

Given functions:

f(x) = x² + 1

g(x) = 3x + 5

Here, we're asked to find the value of both functions when the value of x is -1. Then, we multiply the functions in order to find the value of f(-1)•g(-1).

Note: f(-1) • g(-1) is equivalent to (f • g)(-1).

Method 1: f(-1) • g(-1)

Find the value of each function when x = -1.

f(-1) = (-1)² + 1 ⇒ f(-1) = 1 + 1 ⇒ f(-1) = 2

g(-1) = 3(-1) + 5 ⇒ g(-1) = -3 + 5 ⇒ g(-1) = 2

Multiply the functions together.

f(-1) • g(-1) ⇒ 2 • 2 ⇒ 4

Method 2: (f • g)(-1)

First, multiply the functions.

⇒ (x² + 1) • (3x + 5) [ Simplify using the Distributive Property: (a + b) • (c + d) = ac + ad + bc + bd. ]

⇒ x²(3x) + x²(5) + 1(3x) + 1(5)

⇒ 3x³ + 5x² + 3x + 5

Now, substitute -1 as the value of x.

⇒ 3(-1)³ + 5(-1)² + 3(-1) + 5 [ Exponents first. }

⇒ 3(-1) + 5(1) -3 + 5 [ Multiply the numbers. ]

⇒ -3 + 5 - 3 + 5 [ Simplify. ]

⇒ 4

Therefore, the product of both functions when x = -1 is 4.

Learn more about multiplying functions here:

brainly.com/question/12122417

brainly.com/question/16287318

What is the range of the function y=3√x+8?
-∞xy<∞
-8 0≤y<∞
2≤y<∞

Answers

The range of the function the as given in the equation is; - ≤ y < ∞.

What is the range of the function?

It follows from the task content that the function given is; y=3√x+8.

On this note, it follows that the range of the function is the set of all possible outputs, y values and in this case is; -∞ ≤ y < ∞.

It therefore follows that the range of the function is as indicated above as all X-values (domain) must be positive and the square root of x yields a positive or negative real number.

Read more on range;

https://brainly.com/question/1579288

#SPJ1

you have 32 tbsp of peppercorns you need 2 teaspoons to make one serving of cajun seasoning how many servings can u make

Answers

Answer:

48 servings

Step-by-step explanation:

3tsp=tbsp

32*3=96

96/2=48

Which of the following is the best buy?

a 6 oz box of rice for $0.90
a 12 oz box of rice for $1.93
a 16 oz bag of rice for $2.42
a 9 oz box of rice $1.25

Answers

The $1.25 one for 9 Oz box of rice would be the best buy.

How to find the Unit Price?

To get the best buy among the given items and prices, we need to find the unit price. Thus, the formula is;

Unit price = Price/Quantity

A) Unit Price = 0.90/6 = 0.15

B) Unit Price = 1.93/12 = 0.15083

C) Unit price = 2.42/16

Unit Price = 0.15125

D) Unit Price = 1.25/9 = 0.138

The $1.25 one for 9 Oz box of rice would be the best buy.

Read more about Unit price at; https://brainly.com/question/2804909

#SPJ1

Drag each graph to the correct location on the table. The points on the graphs represent relations. Classify these relations according to whether or not they are functio 1-3 -2 -1 3. -40 2 1 -2 -3 1 2 Function -3 -2 -1 -1 -2 3 D 2 3 -3 2 101 -1 3 1240 1 24 2 10 3 Not a Function Drag each graph to the correct location on the table . The points on the graphs represent relations . Classify these relations according to whether or not they are functio 1-3 -2 -1 3. -40 2 1 -2 -3 1 2 Function -3 -2 -1 -1 -2 3 D 2 3 -3 2 101 -1 3 1240 1 24 2 10 3 Not a Function​

Answers

Answer:

Function: BNot a function: A, C

Step-by-step explanation:

A relation is a function if there is only one y-value for each x-value. If you can draw a vertical line on the graph that intersect more than one point, the relation is not a function. (This is the "vertical line test.")

Application

Graph A: there are 3 y-values associated with x=2. Not a function.

Graph B: passes the vertical line test: A function.

Graph C: there are 2 y-values at each of x=1 and x=2. Not a function.

Which of the following equations have complex roots?

Answers

Answer:

D

Step-by-step explanation:

Subtracting 2 from both sides and then dividing both sides by 3 gives that x² = -2/3, which indicates the roots are complex.

7. Write a general formula to describe the variation: x varies directly with the cube of y; x = 8 when y = -8.​

Answers

Answer: it should be this M=kb^3/B^2

Step-by-step explanation:

in a random sample of 36 criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was 50 ​months, with a standard deviation of 5 months. construct and interpret a 90 ​% confidence interval for the mean length of sentencing for this crime.

Answers

The answer is 90% of the crime is between 48.63 and 51.37

How to solve for the confidence interval

The sd = 5 months

n = 36

Mean length = 50

1- 0.90

= 0.1

Critical value = alpha/2 = 1.645

Margin of error

E = 1.645 x 5/√36

= 1.37

The upper and lower limits are

50 -  1.37 + 50 + 1.37

= (48.63, 51.37)

Raed more on confidence interval here:

https://brainly.com/question/15712887

#SPJ1

PLS HELP ME 17 MIN LEFT Solve the following equation: one third plus one third equals
one third,
two sixths,
two thirds,
or three thirds.

Answers

Two thirds because (1/3)+(1/3)=2/3

??????????????????????????????

Answers

[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{2x-20}{3}=2x \end{gathered}$}[/tex]

Multiply both sides of the equation by 3.

[tex]\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}[/tex]

Subtract 6x on both sides.

[tex]\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}[/tex]

Combine 2x and −6x to get −4x.

[tex]\large\displaystyle\text{$\begin{gathered}\sf -4x-20=0 \end{gathered}$}[/tex]

Add 20 to both sides. Any value plus zero results in its same value.

[tex]\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}[/tex]

Divide both sides by −4.

[tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{-4} \end{gathered}$}[/tex]

Divide 20 by −4 to get −5.

[tex]\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}[/tex]

{ Pisces04 }

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation: }[/tex]

[tex]\mathbf{\dfrac{2x - 20}{3} = 2x}[/tex]

[tex]\huge\textbf{SIMPLIFY IT or DISTRIBUTE:}[/tex]

[tex]\mathbf{\dfrac{2}{3}x - \dfrac{20}{3} = 2x}[/tex]

[tex]\huge\textbf{SUBTRACT 2x to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{2}{3}x - \dfrac{20}{3} - 2x = 2x - 2x}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{- \dfrac{4}{3}x - \dfrac{20}{3} = 0}[/tex]

[tex]\huge\textbf{ADD }\boxed{\rm{\bf \dfrac{20}{3}}}\huge\textbf{ to BOTH SIDES:}[/tex]

[tex]\mathbf{-\dfrac{4}{3}x - \dfrac{20}{3} + \dfrac{20}{3} = 0 + \dfrac{20}{3}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{-\dfrac{4}{3}x = \dfrac{20}{3}}[/tex]

[tex]\huge\textbf{MULTIPLY }\boxed{\rm \bf {\dfrac{3}{-4}}}\huge\textbf{ to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{3}{-4}\times\dfrac{-4}{3}x = \dfrac{3}{-4}\times\dfrac{20}{3}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{x = -5}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -5}}}\huge\chekmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Use the demoivres theorem

Answers

By de Moivre's theorem,

[tex]\left(\cos\left(\dfrac\pi6\right) + i \sin\left(\dfrac\pi6\right)\right)^{18} = \cos\left(\dfrac{18\pi}6\right) + i \sin\left(\dfrac{18\pi}6\right) \\\\ ~~~~~~~~ = \cos(3\pi) + i \sin(3\pi) = \boxed{-1}[/tex]

The value of the given complex number is -1

De'moivres theorem

Given the polar form of a complex number expressed as:

[tex](cos\theta + isin\theta)^n\\[/tex]

This can also be expressed according to the de moivre's theorem as;

[tex]=(cos\theta + isin\theta)^n\\\\=(cosn\theta+isinn\theta)[/tex]

Given the expression below;

[tex](cos\frac{\pi}{6} + isin\frac{\pi}{6} )^{18}\\(cos18\cdot\frac{\pi}{6} + isin18\cdot\frac{\pi}{6} )\\(cos3\pi + isin3\pi)\\=-1[/tex]

Hence the value of the given complex number is -1

Learn more on complex number here; https://brainly.com/question/10662770

#SPJ1

A bus covered a distance of 331.25 km in 25 L of diesel. Find the distance covered by the bus in 1 L of diesel . please do answer in copy​

Answers

Answer:

13.25km

Step-by-step explanation:

25 Litres = 331.25km

1 Litre =

[tex] \frac{331.25}{25} \\ = 13.25km[/tex]

Answer:

13.25 km

Step-by-step explanation:

25 litres = 331.25 km

1 litre =

331.25

25

=13.25 km

Which term describes the set of all possible input values for a function? O A. Range OB. Input O C. Output OD. Domain SUBMI​

Answers

Answer:

D.  domain

Step-by-step explanation:

domain is set of x-values

range is set of y-values

Input is the set of x-values, so it is the domain.

What the 29th square number?

Answers

Answer: 841

Step-by-step explanation:

29×29=841

841. the square root is 5.385.

Helppppppo points to give

Answers

a) The point (2, -7/5) is not a point on the graph?

b)  The value of f(x) when x is 1 is -1/3 and the point on the graph is (1, -1/3)

c) The value of x for f(x) = 2 is 22 and the point on the graph is (22, 2)

d) The domain of x is all real values of x ≠ 10

e) The x intercept is -2

f) The y intercept is -1/5

What is a Function?

Function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output and not one input for two outputs.

Analysis:

a) To test if the point (2, -7/5) is a point on the graph, we put in x = 2 into the function,

f(2) = 2+2/2-10 = 4/-8  = -1/2 ≠ -7/5. Therefore (2, -7/5) is not a point on the graph.

b) if x = 1, f(1) = 1 +2 / 1-10 =  3/-9 = - 1/3

   The point on the graph is (1, -1/3)

c) if f(x) = 2, then 2 = x+2/x-10

     2(x-10) = x+2

     2x -20 = x+2

      2x-x = 2+20

      x = 22, the point on the graph is (22, 2)

d) The domain of the function is such that the denominator would not be zero.

so if x - 10 ≠ 0

Then the values of x ≠ 10 are the domain of the function.

e) The x intercept of the graph is the point at which f(x) = 0

  0 = x+2/x-10

   x+2 = 0

   x = -2. The x-intercept is -2.

f) the y-intercept is such that x = 0

   0+2/0-10 = 2/-10 = -1/5

Learn more about Function: brainly.com/question/25638609

#SPJ1

One jar filled with honey weighs 120 grams and one empty jar with half filled honey jar weighs 150 grams what is the weight of the jar

Answers

Answer:

90 grams

Step-by-step explanation

Full = 120

half filled + empty = 150

half of 120 = 60

Therefore, a jar weighs 150 - 60

= 90 grams

Peter received a $15 tip on a meal that cost $130. What percent of the meal cost was the tip?
11.5%
21%
18.5%
14% ​

Answers

15/130=x/100
130x=1500
X=11.5%
Other Questions
For the following exercises, determine whether the functions are even, odd, or neither.19. Solve |2x 3 | = 17. percent composition of Mg(OH)2 1. A small garden has a perimeter of 24 1/4 ft. If the lengths is 8 ft, what is the area of the garden.2. Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor?3. A dog pen is 3 1/3 yards wide by 5 2/3 yards long. What is the area of the dog pen? HELP! BRainliest +20A function f is defined such that 8f(x)=f([tex]\frac{1}{8}[/tex]x) for all values of x, and f(4) = 24. What is the value of f(32) ? help asapppppplease help asap with this assignment Find the area of each figure. GEOMETRY PLS HELPPPP Gneiss and quartzite rocks are found in the metamorphic surface bedrock in which new york state landscape region ? lanier company manufactures expensive watch cases sold as souvenirs. three of itssales departments are retail sales, wh Lesson 2 History of Physical ScienceWrite an expository essay explaining how science builds on itself. Use at least two specific examples from this lesson. Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation among the data.(1, 5), (4, 8), (8, 3), (13, 10), (19, 13) What is the concept of cause and effect?A. when an action causes something to come into effectB. when an action is caused but there is no resulting effectC. when an action doesn't actually have a resulting effectD. when an action leads to an effect that is not desiredReset What is the range of the function f(x)=1/2x? A. all real numbersB. all real numbers greater than but not equal to 0 C. all real numbers less than or equal to 0 D. all real numbers greater than or equal to 0 How is selective pressure related to evolution?A. Selective pressure can be a driving force of evolution.B. Selective pressure is the same as evolution.C. Selective pressure ensures that evolution has an end product. D. Selective pressure causes evolution to proceed randomly. In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests,Paul has scored 91, 88, and 93 on the first three. What range of scores on the fourth test will give Paul a C for thesemester (an average between 70 and 79, inclusive)? Assume that all test scores have a non-negative value.Express your answer in interval notation. Together, focusing on individual employee productivity and managing the overall firm comprise the ________ viewpoint. Draw an angle that measures 260 in standard position. A skier glides down a hill from 100 m height. At what velocity will he pass the 100 m mark? Fracciones heterogeneas Which linear inequality is represented by the graph?