Answer:
7, 11, 15, 19, 23, 27, 31... and keep going until you have an answer.
Step-by-step explanation:
Just keep adding 4 until you have all the 48 terms you need.
: West Gorham High School is to be located at the population center of gravity of three communities: Westbrook, population 16,000; Scarborough, population 22,000; and Gorham, population 36,500. Westbrook is located at 43.6769˚N, 70.3717˚W; Scarborough is located at 43.5781˚N, 70.3222˚W; and Gorham is located at 43.6795˚N, 70.4447˚W.
a. Where should West Gorham High School be located?
b. If only two pieces of adequate land are available for sale: Baker’s Field at 43.6784˚N, 70.3827˚W; or L onesome Acres at 43.5119˚N, 70.3856˚W, using rectilinear distances, which is closer to the site located in part (a)?
Answer:
(a) 43.6490°N, 70.3928°W
(b) Baker's Field
Step-by-step explanation:
The locations are all within a 7-mile square, so we will make the assumption of a flat Earth with parallel longitude lines. Then the "central" location will be the weighted average of the latitude and longitude coordinates.
(a)Total population is 16000 +22000 +36500 = 74,500. For purposes of the arithmetic, we will subtract 43 from latitude and 70 from longitude, then multiply each fraction by 10. Similarly, we will divide each population by 1000.
The weighted average location is found from ...
(16/74.5)(6.769, 3.717) +(22/74.5)(5.781, 3.222) +(36.5/74.5)(6.795, 4.447)
= (1.4537, 0.7983) +(1.7071, 0.9515) +(3.3291, 2.1787) = (6.490, 3.928)
The center of gravity is about 43.6490°N, 70.3928°W.
__
(b)The coordinate differences from the center of gravity are (in (°lat, °long)) ...
Baker's Field: (0.0294, -0.0101)
Lonesome Acres: (-0.1371, -.0072)
Clearly, Baker's field is closer to the site of part (a).
_____
Additional comment
Distance calculations could be refined further by considering that a degree of longitude at this latitude represents about 0.72 times the distance of a degree of latitude. In this problem, the location of Lonesome Acres has a latitude difference that is several times any of the other coordinate differences, so it is clearly much farther away from the desired location.
The calculations done here are a sort of first-level approximation. The least-significant digits in the coordinates represent a distance of less than 50 feet. If you really want accuracy to that level, then the (approximately) spherical shape of the Earth needs to be accounted for. As a second-level approximation, some reference point needs to be identified, and coordinates in miles (or feet) need to be expressed in relation to that reference. The best accuracy would be obtained using spherical trigonometry to identify the distances.
We expect any school that is constructed to be somewhat larger than 50 feet in any direction, so accuracy to the 4th decimal place in these locations is probably not required--except to satisfy some answer-checker.
In the figure below, AABC is similar to A EFG. What is the length of EG? Enter only the number.
A
5
N
3
12
16
F
G
B
The solution is
Answer:
EG = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{EG}{AC}[/tex] = [tex]\frac{EF}{AB}[/tex] , substitute values
[tex]\frac{EG}{5}[/tex] = [tex]\frac{12}{3}[/tex] = 4 ( multiply both sides by 5 )
EG = 5 × 4 = 20
Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...
Which expression has a value of −8?
Answer:
-4+-3+2-3
Step-by-step explanation:
5) Solve 5 - 2x < 7.
A) x < -1
B) x>-1
0x<-12
D) X > -12
Answer:
i think B. x>-1 is answer
Step-by-step explanation:
good luck
Subtract 38¢ from $5.60. Include the dollar sign and no spaces in your answer.
Answer:
5.22
Step-by-step explanation:
Answer:
its easy, just subtract 50 - 38 = 22 so its $5.60
(your welcome and math makes me notalisgica :) )
Step-by-step explanation:
What is the multiplicative inverse for dividing 5\6 by 7\11
Answer: The value of 5/6 is 5 and the value 7/11 is 7.
Step-by-step explanation:
I’m failing pls help I’ll brainlest ASAP
Yi = 4.0 + 1.5Xi
a. Interpret the Y intercept, b0.
Answer:
Divide each term in Y i = 4 + 1.5 X i by i and simplify.
Y = − 4 i + 1.5 X
Step-by-step explanation:
If the measure of angle 1 is 45°, what is the measure of angle 11 in degrees.
Please help me simplify this answer.
Answer:
D
Step-by-step explanation:
if x =4 and y =5
the expression = 818.3396
and D the only expression done the same result
A number increased from 3,631 to 8,140. Find the amount of increase.
Answer: 4509
8,140-3,631
= 4509
a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) )
Answer:
1581.62810745 square km
Step-by-step explanation:
P = Initial Area = 2500 square km.
r = rate of decreasing = 8.75%
n = number of years = 5 years
A = 2500 ( 1 - 8.75/100)^5
A = 2500 {(100–8.75)/100}^5
A = 2500 (91.25/100)^5
A = 2500 (0.9125)^5
A = 2500 * 0.63265124298
A = 1581.62810745
I need a lot of help
Answer:
lol wat r u doing .........
Judith bought a rowboat priced at 671.65.shipping anf handling cost and additional 20% of the prices What was the total cost of the rowboat,including shipping and handilng?
Answer:
805.98
Step-by-step explanation:
671.65x.20=134.33
134.33+671.65=805.98
How do you divide 35 and 97.3
Answer:
To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.
Which expression is equivalent to w • 35?
Answer:W= B-3 or 3=B-W
Step-by-step explanation:
3a+5=20 steps on paper
Answer:
5
Step-by-step explanation:
3a+5=20 -5
3a=15 /3
a=5
A sequence is defined recursively as follows: a(1) = 1, and a(n)= a(n-1)+n
(a) How do you interpret this recursive rule?
b) Write down the rule for a(2),a(3), and a(4)
it down in your own words.
and determine their values.
Answer:
Step-by-step explanation:
a) The current term number is added to the previous term to get the current term.
__
b) Using n = 2, 3, 4 in the given formula, we have ...
a2 = a1 +2 = 1 +2 = 3
a3 = a2 +3 = 3 +3 = 6
a4 = a3 +4 = 6 +4 = 10
The value of the current term is the sum of all positive integers up to the term number, that is, term n is the n-th "triangle number."
2. Harry puts $5 in his piggy bank every
week. What type of slope does this
scenario describe? Explain.
Answer:
linear
Step-by-step explanation:
Answer:
Linear slope of 5/1
Step-by-step explanation:
The rate is constant.
Hope that helps
Mary had 60$ and spent 3/4 on a coat. plus she brought a skirt with 1/2 she had left . how much do she have left?
ANSWER FAST!!
Write the equation of a line that has a slope of -2/7 and passes through the point (5,-6)
Answer:
y = -2/7x - 32/7
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
The slope is -2/7
y = -2/7 x+b
We know a point on the line is (5,-6)
Substitute this into the equation
-6 = -2/7(5) +b
-6 = -10/7+b
Add 10/7 to each side
-6 +10/7 = b
-42/7 + 10/7 = b
-32/7 = b
y = -2/7x -32/7
There are 40 students in your class of which 23 are boys. What fraction of the students are girls?
Answer:17/23
Step-by-step explanation:
Answer: 17/40 of the students are girls.
Step-by-step explanation:
First, to find the number of girls in the class, we can subtract the number of boys (23) from the total number of students (40) to get:
40 - 23 = 17
There are 17 girls in the class.
Finally, to get the fraction of the girl students of the class, we can divide the number of girls (17) by the total number of students (40) to get:
17 ÷ 40 = [tex]\frac{17}{40}[/tex]
Since the fraction [tex]\frac{17}{40}[/tex] is already simplified, the final answer comes out to be [tex]\frac{17}{40}[/tex].
what is 2/5=_=_ what is the 2 equivalent fractions
Answer:
4/10 and 16/40
Step-by-step explanation:
2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)
(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)
As well as 4/10 = 0.4
Also 16/40= 0.4
(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16 and denominator= 5 x 8 = 40
Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions
(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)
hope this helps, ;]
HELP MEEEEEEEEEEEEEEEEE!
X +(X+1)+...+2020+2021=2021
If x is an integer, and
x + (x + 1) + … + 2020 + 2021 = 2021
then of course
x + (x + 1) + … + 2020 = 0
and we can write the left side as a sum,
[tex]\displaystyle \sum_{k=0}^n (x+k) = 0[/tex]
with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that
[tex]\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0[/tex]
Recall that
[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n[/tex]
[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0[/tex]
Solve for n :
(2020 - n) (n + 1) + n (n + 1) / 2 = 0
4040 + 4039 n - n² = 0
(n - 4040) (n + 1) = 0
⇒ n = 4040 or n = -1
But we are taking the sum of a positive number of terms, so n = 4040.
Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.
NEED HELP PLS
Use point-slope form to write the equation of a line that passes through the point (-14, -17) with slope 1.
Answer:
point-slope form: y-y1=m(x-x1) -> m=slope, (x1, y1) = coordinates of a point
point = (-14,-17) -> x1=-14, y1=-17
slope = 1 -> m=1
y-(-17)=1*(x-(-14)
y+17=1(x+14)
you don't need the *1 but some teachers are picky about that
Answer:
y + 17 = 1 ⋅ ( x + 14 )
Step-by-step explanation:
i think... trust someone else because i'm not 100% sure..
At Charles Walters Middle School, 25% of the students live more than 8 miles from school, What fraction of the students live more than 8 miles from school? Write your answer as a fraction in simplest form. ?
Answer:
1/4
Step-by-step explanation:
0.25 = 1/4
Answer:
1/4
Step-by-step explanation:
25% is 25/100. 25/100 simplified is 1/4.
Please help me :) 25 points
Answer:
D (bottom right)
Step-by-step explanation:
Using the vertical line test, only D passes.
Hope that helps
Help me, please? I dont understand these
is 8.5 greater than 0.85?
Answer:
Yes, 8.5 is greater than 0.85
Step-by-step explanation:
In counting from 0 to the highest possible positive number in steps of 0.01, we come across 0.85 before 8.5. This means that 8.5 is greater than 0.85