The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 4 miles south of the City Center. The park is 3 miles east and 5 miles north of the Center. How far is it from the mall to the park to the nearest tenth of a mile/12482564/8273204d?utm_source=registration
Answers
√(6² +9²) = √117 ≈ 10.8
Related Questions
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
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
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
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!
System of equations help?
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Write the expression as a single natural logarithm.3 ln x – 5 ln c
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[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]
find the area of an isosceles triangle with base 20 and base angles 40 degrees
Answers
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]
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
[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:
C.
Step-by-step explanation:
hey can you please help me posted picture of question
Answers
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.
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. '
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 two angles are complementary so 3x-36+2x+26=180
Just simplify from there.
(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
median mode mean and range on 84 45 10 28 75 63 16 55
Answers
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
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!
how long will it take to triple the amount of $500 if you invest it at a rate of 6% compound annually
Answers
a $1600 principal earns 7% annual interest, compounded semiannually. What is the balance after 33 years?
Answers
FV = P(1 +r/n)^(nt)
FV = 1600*(1 +.07/2)^(2*33)
FV = 1600*1.035^66 ≈ 15,494.70
The balance after 33 years will be $15,494.70
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
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
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!
Maggie ebought 52 ounces of swordfish selling for $6.92 per pund. What was the total cost?
Answers
In 2012 the population of a city 6.16 was find the exponential growth function estimate the population
Answers
that would be your starting equation
The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is the _____.
Answers
Choose the single logarithmic expression that is equivalent to the one shown 5 log x + 3 log x^2
Answers
=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
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
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).
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Find the measure of each angle indicated.
Answers
(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.
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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
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.
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
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:
Find the inverse of the function r(t) = 5^t. I WILL make you BRAINLIEST
Answers
hope it helps if not say something ill change it :P
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 \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]
Choose any numbers for he first column that will correctly complete the table.
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2. Any number between 9,425 - 9,429
Number: 9,440
PLZ HELP ASAP CIRCLES
Answers
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°
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
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.
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The ratio of the lengths of corresponding sides of two similar octagons is 8:9. what is the ratio of their perimeters? *
Answers
_____
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.
hey can you please help me posted picture of question
Answers
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.
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 brown eggs = 10
Total sample = 8+10 = 18
Number of broken eggs = 4 white
P(broken egg) = 4/18 = 2/9