What is the structural number of a pavement section with a1, a2 a3 = 0.44, 0.14, and 0.10 respectively if the depths are 5, 10 and 10 inches?

Answers

Answer 1

The pavemental section is 25 inches you just add them up.

Related Questions

find the area of an isosceles triangle with base 20 and base angles 40 degrees

Answers

check the picture below.

make sure your calculator is in Degree mode.

[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=20\\ h=y \end{cases}\implies A=\cfrac{1}{2}(20)(y)[/tex]

In 2012 the population of a city 6.16 was find the exponential growth function estimate the population

Answers

y=aXb^x
that would be your starting equation

Write the equation of the perpendicular bisector of CD.
A) y = -x + 6
B) y = x + 1 2
C) y = 1 2 x + 6
D) y = -x + 1 2

Answers

You haven't provided the coordinates of C and D, therefore, I cannot provide an exact solution. However, I'll tell you how to solve this problem and you can apply on the coordinates you have.

The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept

1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line

2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = ([tex] \frac{x1+x2}{2} , \frac{y1+y2}{2} [/tex])

Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.

By this, we would have our equation in the form of:
y = mx + c

Hope this helps :)

Answer:

The answer is A.) y= -x+6

Step-by-step explanation:

The ratio of the lengths of corresponding sides of two similar octagons is 8:9. what is the ratio of their perimeters? *

Answers

The ratio of perimeters is the same as the ratio of the corresponding sides: 8:9.

_____
Any corresponding length measures of the similar figures will have the same ratio.

The ratio of the perimeters of the two similar octagons is the same as the ratio of the lengths of their corresponding sides, which is 8:9.

When dealing with similar polygons, such as octagons in this case, the ratio of the lengths of corresponding sides directly determines the ratio of their perimeters. Since the sides of the octagons are proportional, with a specific ratio of 8:9, we can infer that the perimeters of the octagons will also have the same ratio. This is due to the perimeter being the sum of the lengths of all sides of the polygon.

Therefore, if one side of the first octagon is scaled up by a factor of 8, the entire perimeter will be scaled by the same factor. Correspondingly, if one side of the second octagon is scaled up by a factor of 9, its entire perimeter will also reflect that scaling. Given that the ratio of the lengths of corresponding sides is 8:9, the ratio of their perimeters will also be 8:9.

Which of the following is a reason people sometimes use mean or median to misrepresent the “average” of a set of data?

a.

In many data sets, the mean and median are always similar.

b.

In most data sets, the mean and median are always different.

c.

The median is meaningless but is often confused with the mean.

d.

In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda.

Answers

Answer: In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda.

Step-by-step explanation:

We know that the "mean" is the "average" we used where we need to add up all the numbers and then divide by the number of elements where as the "median" is the "middle" value in the list of numbers.

The mean and median would not affected by outlying data points within data sets. Thus, the median is often used when a data set has outlying data points that could influence the mean and thereby misrepresent the middle of the data set.

The correct reason people sometimes use mean or median to misrepresent the “average” of a set of data is " In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda. '

APLZ HELP ASAP INSCRIBED QUADRILATERALS

Answers

For any inscribed quadrilateral, the sum of each pair of opposite angles must add up to 180. In this case, B + A = 180, and similarly, E + R = 180. Therefore,
74 + R = 180
R = 106 degrees

(Similarly, if we had to solve for B, B + 92 = 180, and B = 88 degrees.)

The opposite angles in any inscribed quadrilateral are supplementary.
∵ ∠E + ∠R = 180°
∴ ∠R = 180 - ∠E = 180° - 74° = 106°

HELP ASAP

A rain barrel is full of water and used to water a garden. The rain barrel loses water at the rate of 2.5 gallons of water per minute. After seven minutes, the rain barrel contains 37.5 gallons.

D. What is the total number of minutes it will take to completely empty the rain barrel?

Answers

So, first let's refill the barrel to the top:
37.5 + 7*2.5 = 55
Now that it's full again, let's divide the total amount by the rate of water loss:
55/2.5 = 22
It will take 22 minutes to completely empty the rain barrel

The rain barrel, losing water at a rate of 2.5 gallons per minute, started with a volume of 55 gallons. It will take a total of 22 minutes to completely empty the barrel.

To calculate the total number of minutes it will take to completely empty the rain barrel, we must first establish how much water is being lost per minute and use that rate to determine how long it will take to empty the current amount of water in the rain barrel.

We know that the rain barrel loses water at a rate of 2.5 gallons per minute and after seven minutes, it contains 37.5 gallons. To determine the starting volume (V0) when the barrel was full, we can add the amount of water already used in seven minutes back to the current volume:

V0 = current volume + (rate of loss x time)V0 = 37.5 gallons + (2.5 gallons/minute x 7 minutes)V0 = 37.5 gallons + 17.5 gallonsV0 = 55 gallons

With a starting volume of 55 gallons and a loss rate of 2.5 gallons per minute, we can calculate the total time (T) to empty the barrel:

T = Total volume / Rate of lossT = 55 gallons / 2.5 gallons/minuteT = 22 minutes

Therefore, it will take a total of 22 minutes to empty the rain barrel completely.

PLZ HELP ASAP CIRCLES

Answers

From the figure we are given that the measure of angle U is equal to 85°. With this, we can conclude that the arc intercepted by the angle which is the arc DKC will have a measure that is twice its value.

m(DKC) = 2(85°) = 170°

The total measure of the arc in a circle is equal to 360°. Hence,

m(DKC) + m(DUC) = 360°

Substituting the known value,
170° + m(DUC) = 360°

The value of m(DUC) is equal to 190°. The measure of the angle K is half this value.
m∠K = 190°/2 = 95°

Answer: 95°

System of equations help?

Answers

The soluions are approximately x ∈ {0.5, 7.8}.

Marty correctly answers 36 questions on his science test. There are 50 questions on the test. Find the percent of the questions Marty answers correctly.

Work Pls
Thx

Answers

All you have to do is divide the score by how many questions there are.

Score = 36
Total = 50

36 ÷ 50 = 0.72

0.72 = 72%

Answer = 72%

Hope this helped :)

The percent of the questions Marty answers correctly is 72 percent.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Marty correctly answers 36 questions on his science test.

There are 50 questions on the test.

Percentage of correct answers = Number of correct answers/Total number of questions ×100

= 36/50 ×100

= 0.72×100

= 72%

Therefore, the percent of the questions Marty answers correctly is 72 percent.

To learn more about the percentage visit:

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hey can you please help me posted picture of question

Answers

G(x) is obtained from F(x) after both horizontal and vertical translation.

Following translations occur in F(x) to obtain G(x)
a) 2 units to Right
b) 4 units down

Translation towards right can be expressed as:

F(x - 2)

Vertically down translation can be expressed as:

F(x-2) - 4

So,

G(x) = (x-2)² - 4

Thus, option A is the correct answer.

Write the expression as a single natural logarithm.3 ln x – 5 ln c

Answers

The rules are ...
[tex]\Longrightarrow \ln(\frac{a}{b})=\ln(a)-\ln(b)[/tex]
[tex]\Longrightarrow \ln(a^{b})=b\ln(a)[/tex]

Your expression makes use of both these rules.
[tex]3\ln(x)-5\ln(c)=\ln(x^{3})-\ln(c^{5})=\ln \left( \dfrac{x^{3}}{c^{5}} \right)[/tex]

Your single logarithm is ...
[tex]\ln \left( \dfrac{x^{3}}{c^{5}} \right)[/tex]

In order to accumulate enough money for a down payment on a house, a couple deposits $300/month into an account paying 6% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 5 years? What formula is required to complete this problem?

Answers

[tex]\bf ~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right][/tex]

[tex]\bf \begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\to &300\\ r=rate\to 6\%\to \frac{6}{100}\to &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\to &12\\ t=years\to &5 \end{cases}[/tex]

[tex]\bf A=300\left[ \cfrac{\left( 1+\frac{0.06}{12} \right)^{12\cdot 5}-1}{\frac{0.06}{12}} \right]\implies A=300\left[ \cfrac{(1.005)^{60}-1}{0.005} \right] \\\\\\ A=300(\stackrel{\approx}{69.770030509863214)}\implies A\approx 20931.009152958964[/tex]

The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is the _____.

Answers

Residual. Bc that diff between observed y and predicted y.

Find the measure of each angle indicated.

Answers

All of these angles are either corresponding or supplementary, so it looks like I haven't answered them, but I have.

(11). 110 degree (12).84 degree (13).80 degree (14).111 degree (15).125 degree (16).47 degree.

What is angle theorem?

The relation between the angles which is formed by intersecting two lines , described by Geometry called angle theorem. Some common angle theorem are Alternate interior angle , Alternate exterior angle etc.

Given,

(11) One angle of 110 degree is given and other angle which is asked is

also 110 degree by alternate exterior angle theorem.

(12) One angle of 84 degree is given and other angle which is asked is

also 84 degree by alternate interior angle theorem.

(13) The angle formed by straight line is 180 degree .So one angle is

given which is 100 degree and other will be 80 degree. Now asked

also 80 degree by alternate interior angle theorem.

(14) One angle of 111 degree is given and other angle which is asked is

also 111 degree by alternate interior angle theorem.

(15) One angle of 125 degree is given and other angle which is asked is

also 125 degree by alternate interior angle theorem.

(16) One angle of 47 degree is given and other angle which is asked is

also 47 degree by alternate exterior angle theorem.

Learn about angle theorem:

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hey can you please help me posted picture of question

Answers

The correct answer for the problem shown in the figure atttached is the last option (option D), which is shown below:

D.(-x-9i)(x-9i)

If you want to verify that the option D.(-x-9i)(x-9i) is the correct answer, you can apply the distributive property to (-x-9i)(x-9i).

Therefore, when you apply the distributive property, you obtain that the result is:

-x²-81

The graph attached shown this equation, which is a parabola.

The answer is D... looked it up tbh

A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked. An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg?Write the answer in a fraction in simplest form

Answers

Number of white eggs = 8
Number of brown eggs = 10
Total sample = 8+10 = 18

Number of broken eggs = 4 white

P(broken egg) = 4/18 = 2/9

Choose the single logarithmic expression that is equivalent to the one shown 5 log x + 3 log x^2

Answers

5 log x+3 log x^2
=log x^5+log x^(2×3)
=log x^5+ log x^6
=log (x^5×x^6)
=log x^(5+6)
=log x^11

Answer: log x^11

how long will it take to triple the amount of $500 if you invest it at a rate of 6% compound annually

Answers

It will take you 18.85 years.

median mode mean and range on 84 45 10 28 75 63 16 55

Answers

PUT THIS SET IN ORDER FROM LEAST TO GREATEST:

10, 16, 28, 45, 55, 63, 75, 84
__________________
MEDIAN: Find the number in the middle of the set.
10, 16, 28, 45, 55, 63, 75, 84
There cannot be two medians, so you find the number between 45 & 55.
MEDIAN = 50
_________________
MEAN: Find the average by adding up all of the numbers and dividing them by how many numbers there are.
10 + 16 + 28 + 45 + 55 + 63 + 75 + 84 = 376
376/8 = 47
MEAN = 47
________________
MODE: The number that occurs most often. If no number repeats, there's no mode.
THERE IS NO MODE
________________
RANGE: The difference between the largest and smallest value in the set. Subtract the largest (84) and smallest (10) value.
84 - 10 = 74
RANGE = 74

Mean: 47. Mean is when you add up all the numbers, then divide by how many numbers you added (adding them together you get 376, which you divide by 8).

Median: 50. Median is when you sort every number numerically and find which number is in the middle. Since there are 8 numbers, there are 2 numbers you'd find the number equally in between each of those 2 numbers. That number being 50.

Mode: There is no mode. Mode is the number that is "most frequent" or is repeated the most in the number sequence.

Range: 74. Range is when you subtract the smallest number of the sequence from the largest number.

I hope this helps!

Event A is a subset of event B. P(A)=.15 and P(B)=.53 Find P(A|B). Round the answer to the nearest hundredth.

Answers

If [tex]A\subseteq B[/tex], then [tex]A\cap B=A[/tex]. So

[tex]\mathbb P(A\mid B)=\dfrac{\mathbb P(A\cap B)}{\mathbb P(B)}=\dfrac{\mathbb P(A)}{\mathbb P(B)}=\dfrac{0.15}{0.53}\approx0.28[/tex]

Answer:

Step-by-step explanation:

A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47 in commission for selling 3 suits and a pair of shoes. The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes. How much commission does she earn for selling each suit and each pair of shoes? Solve by substitution.

Answers

let h shoes and s suit:

3s+h=47

7s+2h=107

substitution property:

3s=47-h

s=(47-h)/3

plug it into the other equation and solve for h:

7((47-h)/3)+2h=107

distribute 7 and multiply 3 on both sides:

329-7h+6h = 321

329-h=321

-h=-8

h=8 pair of shoes

s=(47-8)/3=13 suits

Because your friends stayed in bed instead of helping you with the breakfast, you agree to split the £248 hostel bill to the ratio of: 3:3:2 with you paying the least. How much will you have to pay?

Answers

Final answer:

The question posed is about the concept of ratio, you are required to divide £248 according to the ratio 3:3:2. Each part of the ratio is worth £31, thus you will have to pay for two parts, hence, your total responsibility is £62.

Explanation:

The subject of this question is ratio. In the given problem, you need to distribute £248 hostel bill into the ratio of 3:3:2. Firstly, you add the three parts of the ratio which equals to 8 (3+3+2). Now, to find out how much each part is worth you need to divide the total sum, which is £248, by the total number of parts, which is 8. This gives you the value for one part, which is £31 (248 ÷ 8).

Given that you have to pay the least, which corresponds to 2 parts, you multiply £31 by 2, thus you have to pay £62 (31 * 2).

Learn more about Ratio here:

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The International Space Station orbits approximately 250 miles above the surface of the Earth. If the station makes 16 orbits per day, what is the linear velocity, in miles per hour, of the International Space Station? Round the answer to the nearest whole number. Use the following information: radius of Earth ≈ 3,960 miles and 1 mile = 5,280 feet.

Answers

The station orbits 250 miles above the surface of earth.
So, the radius of the orbit with respect to the center of Earth will be = r = 250 + 3960 = 4210 miles

Angular velocity = w =16 orbits per day = 16 x 2π radians per day

w = 32π radians per day
w = 32π/24 radians per hour = 4π/3 radians per hour

Linear speed = v = r w

v = 4210 x 4π/3 miles per hour

v = 17,635 miles per hour

The International Space Station has a linear velocity of approximately 17,625 miles per hour when orbiting Earth at an altitude of 250 miles above the surface and completing 16 orbits per day.

To find the linear velocity of the International Space Station (ISS), we first calculate the circumference of its orbit around the Earth. The radius of the Earth is given as approximately 3,960 miles, and the ISS orbits about 250 miles above the surface. Therefore, the total distance from the center of the Earth to the ISS is 3,960 miles + 250 miles = 4,210 miles.

The formula for the circumference (C) of a circle is C = 2yr, where y represents pi (approximately 3.1416), and r is the radius of the circle. Substituting the values, we get C = 2 * 3.1416 * 4,210 miles = 26,437.792 miles.

Given the ISS makes 16 orbits per day, we can calculate the daily distance traveled by multiplying the circumference of a single orbit by the number of orbits: 16 orbits/day * 26,437.792 miles/orbit = 423,004.672 miles/day.

To find the velocity in miles per hour (mph), we divide the daily distance by the number of hours in a day: 423,004.672 miles/day y 24 hours/day = 17,625.195 mph. Rounding to the nearest whole number, we get a linear velocity of approximately 17,625 mph.

There are 9 different colors of paint to choose from. Out of the 9 colors, how many ways can 4 different colors be chosen?

Answers

This is the concept of combination, the number of ways 4 different color can be chosen from 9 different colors will be:
9C4
=(9!)/(4!(9-4)!)
=362,880/(24×120)
=362,880/2880
=126
thus the number of ways is 126 ways

Answer:

Your answer would be 126 ways hopefully this helps!

The length of a rectangle is five times the width.

The area of the rectangle is 1620cm squared.

Work out the width of the rectangle

Answers

Hi there!

Let's use x for the width because we know the width is only 1. Next, we'll use 5x for the length because the length is 5 times the width. Now, we can set up an equation to solve for x.

WORK:
x * 5x = 1620
5x^2 = 1620
x^2 = 324
x = 18

ANSWER:
The width of the rectangle is 18 centimeters

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Find the value of x for which M//N. PLEASE EXPLAIN HOW TO SOLVE ALSO

A.
38
B.
62
C.
102
D.
150

Answers

The answer is A, 38.

The two angles are complementary so 3x-36+2x+26=180

Just simplify from there.

If m//n the external conjugated angles must be complementary:
(3x-36)°+(2x+26)°=180°
(3x-36+2x+26)°=180°
3x-36+2x+26=180
5x-10=180
5x-10+10=180+10
5x=190
5x/5=190/5
x=38

Answer: Option A. 38

Given a slope of and the points left-parenthesis 220 comma 500 right-parenthesis and left-parenthesis 140 comma 350 right-parenthesis, which is the correct equation in point-slope form?

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 220 &,& 500~) % (c,d) &&(~ 140 &,& 350~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{350-500}{140-220}\implies \cfrac{-150}{-80}\implies \cfrac{15}{8} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-500=\cfrac{15}{8}(x-220)[/tex]

Maggie ebought 52 ounces of swordfish selling for $6.92 per pund. What was the total cost?

Answers

The total cost was $22.49

Find the inverse of the function r(t) = 5^t. I WILL make you BRAINLIEST

Answers

(log5 t)

hope it helps if not say something ill change it :P

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