Answer:
24.58 km
Step-by-step explanation:
1 km = 1000 m
1 m = 1 / 1000 km
24580 m
= 24580 / 1000
= 24.58 km
The table below shows the cumulative distance and the number of hours Ryan drove on vacation.
Hours Driving Distance Traveled (miles)
0 0
3 186
4 248
7 434
10 620
Based on the information in the table, at what speed did he drive (miles per hour)?
A.
69 miles per hour
B.
62 miles per hour
C.
52 miles per hour
D.
42 miles per hour
Answer: 62 miles per hour
Step-by-step explanation:
620/10 = 62
The speed of Ryan is given by the slope m = 62 miles per hour
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 3 , 186 )
Let the second point be Q ( 4 , 248 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 248 - 186 ) / ( 4 - 3 )
m = 62 miles per hour
Hence , the rate of change of speed is m = 62 miles per hour
To learn more about equation of line click :
https://brainly.com/question/14200719
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Three-fourths of the 8th graders at Kingston
Middle School went on the class trip. If 252
students went on the trip, how many 8th
graders are there?
sAnswer:189 students
Step-by-step explanation:
: 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.
i need help with this question pls
Answer:
etra cheese
Step-by-step explanation:
mark me brainleist
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:
Find the unit rate if you got paid $104 for 8 hours of work
and said the answer is 52/4. Is he right or wrong?
what did he do wrong and what is the correct answer?
What is the area of a triangle with a base of √10 and a height of √13 Will mark brainliest
Answer:
the answer is shown on the photo!
Answer:
a=570
Step-by-step explanation:
correct sure
What is 5/8 divided by 1/4
Answer:
the answer should be 2.5
Step-by-step explanation:
when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5
I WILL GIVE YOU 200 pts please
1. √−36
2. √−8 ⋅ √−32
3. √− 15 ⋅ √− 25
4. (–3i) (4i)(–5i)
5. (7i)2(6i)
6. 42
7. 55
8. 89
9. (5 – 2i) + (–13 – 8i)
10. (7 – 6i) + (9 + 11i)
11. (–12 + 48i) + (15 + 21i)
12. (10 + 15i) – (48 – 30i)
13. (28 – 4i) – (10 – 30i)
14. (6 – 4i) (6 + 4i)
15. (8 – 11i) (8 – 11i)
16. (4 + 3i) (2 – 5i)
17. (7 + 2i) (9 – 6i)
18.
19.
2
7 − 8
20.
3–
21.
2–
6 + 5
−2
2 − 4
1 + 3
Solve each equation.
22. 52 + 35 = 0
23. 2 2 + 10 = 0
24. 4 2 + 76 = 0
25. −2 2 − 6 = 0
26. −5 2 − 65 = 0
27. 4 2 + 12 = 0
3
Find the values of ℓ and m that make each equation true.
28. 15 – 28i = 3ℓ + (4m)I
29. (6 – ℓ) + (3m)i = –12 + 27i
30. (3ℓ + 4) + (3 – m)i = 16 – 3i
31. (7 + m) + (4ℓ – 10)i = 3 – 6i
32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the
circuit is 7 – 5j ohms. Add these complex numbers to find the total impedance in the circuit.
33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 – j amps and the
impedance Z is 3 + 2j ohms.
1 = 6i
Add me Ill solve all Cloewyy#8905
what is the equivalent factor of 21 +99
Answer:
3(7+33)
Step-by-step explanation:
Please help!! I will give a good rating and brainliest if it let's me!!!!
Answer:
3/4 is the slope
Step-by-step explanation:
slope= mx+b
so,
(10,30) is an exact meet
so is (50,60)
so what is the rise/run
answer
30/40
or
3/4
so mx+b=
3/4x+22
full equation is 3/4x+22
Coffee is priced at 6.63
Answer:
ok, anddddd???
Step-by-step explanation:
How to solve 22 – 3y > 7
Answer:
y < 5
Step-by-step explanation:
22 – 3y > 7
=> 22 – 7 > 3y
=> 15 > 3y
=> y < 5
Therefore, y < 5 is the solution.
Hoped this helped.
Laurie wants to join the basketball team. Her parents ask her to figure out how much it will cost. Laurie knows that she has to pay an activities fee of $42 plus a fixed amount for each tournament. Write a formula that describes how much it will cost to join the team. Let's let:
c=cost for each tournament
n=number of tournaments the team plays
t=total amount to join the team
The Formula:
t = cn + 42
Kori buys 9 packs of organic milk from the neighborhood store. Each pack is priced at $3.96. How much does Kori spend in all on her purchase?
Answer:
$35.64
Step-by-step explanation:
9 x 3.96 is 35.64
multiply 9 by 3, then 0.96 and add those answers together.
Answer: 35.64 dollars is your answer
Can someone help me?help me please
Answer:
10 tomatoes (bottom fruit) - 9 kiwis (top fruit) = 1 tomato
10-9=1
Step-by-step explanation:
Find the volume of the following figure. Use 3.14 for pi. best answer gets brainliest also 100 points
Answer: 301.44 cubic inches.
Step-by-step explanation:
The formula for the volume of a cone is [tex]V = \pi r^2 \frac{h}{3}[/tex], so by plugging in the radius (6) and height (8), and using 3.14 as pi, you can get 301.44 as the total volume.
Since it is volume, it is in inches cubed, Therefore, the final answer is 301.44 cubic inches.
I hope this helps! :)
How to solve 12 2/3 23
Answer: I dont understand the question
Step-by-step explanation:
Can someone help please?
Which choice is equivalent to the product below?
v2.58
O A. 4./20
O B. 4/5
O C. 16.15
O D. 8/10
Answer: Choice B) [tex]\boldsymbol{4\sqrt{5}}\\\\[/tex]
Work Shown:
[tex]\sqrt{2}*\sqrt{5}*\sqrt{8}\\\\\sqrt{2*5*8}\\\\\sqrt{80}\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5}\\\\\boldsymbol{4\sqrt{5}}\\\\[/tex]
The rule I'm using is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
Answer:
Option B
Step-by-step explanation:
√2 × √5 × √8
√2 × √5 × 2√2 [√8 = 2√2]
(√2 × √2) × √5 × 2
2 × √5 × 2
4√5
Option B is correct
12/14 , 15/, 19/24 which one is greater?
Step-by-step explanation:
12/14= 85.7143% 19/24= 79.1667%
The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.
Consider a group of 800 newborn babies:
1. How many would you expect to weigh between 3 and 8 pounds?
2. How many would you expect to weigh less than 6 pounds?
3. How many would you expect to weigh more than 5 pounds?
4. How many would you expect to weigh between 5.5 and 9 pounds?
Please help and STEP BY STEP PLZ.
Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule
X = 5.5 + 1.6 Z
or
Z = (X - 5.5)/1.6
then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.
1.
Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]
… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]
… ≈ 0.8818
Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.
2.
Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]
… = Pr[Z ≤ 0.3125]
… ≈ 0.6227
Out of 800 babies, around 498 will weigh less than 6 pounds.
3.
Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]
… = Pr[Z > -0.3125]
… ≈ 0.6227
same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.
4.
Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]
… = Pr[0 ≤ Z ≤ 2.1875]
… ≈ 0.4857
Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.
Help I need the answer fast!
Answer:
2 14/25
Step-by-step explanation:
16/(2+1/2)^2 . simplify 2+1/2 to 5/2
16/(5/2)^2
16/5^2/2^2
16/25/4
16*4/25
64/25
2 14/25
PEMDAS "P" is first, "E" second and then "D" is last
[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]
Pls help need it right now :((
If the standard deviation of of the values 2,4, 6,8 is 2.236, the the standard deviation of the values 4, 8, 12, 20 is?
Answer:
5.916
count N : 4
Sum, Ex : 44
Mean , M
Variance , o2 : 35
Step-by-step explanation:
we are creating the mean value of the squares of the differences of each data point to the mean value (variance), and then we pull the square root to bring the differences back to the same dimension as the basic data points.
and since we are dealing with the whole "population" of data points and not only with a sample of a much larger set of data points, that mean value of the differences is a true mean value (divide by n = the number of data points). if we would deal with a sample of a much larger population, we would divide by n-1.
so, how does this work in practice ?
let's go first for the given example :
2, 4, 6, 8.
the mean value is : (2+4+6+8)/4 = 20/4 = 5.
the variance (mean value of the squared differences of each data point to the mean value) :
((2-5)² + (4-5)² + (6-5)² + (8-5)²)/4 = (9+1+1+9)/4 = 20/4 = 5.
the standard deviation is the square root of the variance.
so,
SD = sqrt(5) = 2.236067977...
now for the given problem :
4, 8, 12, 20
the mean value is : (4+8+12+20)/4 = 44/4 = 11.
the variance (mean value of the squared differences of each data point to the mean value) :
((4-11)² + (8-11)² + (12-11)² + (20-11)²)/4 = (49+9+1+81)/4 = 140/4 = 35.
the standard deviation is the square root of the variance.
so,
SD = sqrt(35) = 5.916079783... ≈ 5.916
I need help on this question as soon as possible. If anybody can give me the correct answer I’ll give brainly. I just need help. This is my 2nd question and there is 11 questions
Answer:
The solution of the system is (6, 9).
Step-by-step explanation:
Solve one of the variables and substitute the answer for the other variable.
Select one of the problems and solve for x.
3x+y=27
Subtract y from both sides.
3x+-y=27
Divide both sides by three.
x=1/3(-y + 27)
Multiply 1/3 by -y + 27.
x = -1/3y + 9
Replace -y/3 + 9 for x in the other problem 3x-2y=0.
3(-1/3y + 9) - 2y = 0
Multiply 3 by -y/3 + 9.
−y+27−2y=0
Add -y to -2y.
−3y+27=0
Subtract 27 from both sides of the problem.
−3y=−27
Divide both sides by −3.
y=9
Replace 9 for y in x=−1/3y+9.
x=−1/3*9+9
Multiply −1/3 times 9.
x=-3+9
Add 9 to -3.
x = 6.
x = 6, y = 9.
1. Kim's age is three times that of her sister. When you add Kim's age to her sister's age, you get 48. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (1 point) (b) Solve the equation from Part (a). Show your work. (4 points)
Answer:
3k=48
Step-by-step explanation:
k=kim's age
3k=48
/3
k=16
a family buys 6 airline tickets online. the family buys travel insurance that costs 18 per ticket. the total cost is 1,044
Answer:
936
Step-by-step explanation:
Therefore you multiply 6 by 18 = 6×18= 108
1,044 - 108 = 936
So therefore the total is 936
Help plz 20 points question is in the pic
Just list all of the possible answers
Answer:
what grade are you??........
Answer:
8th idea I'm sorry. uhhhhhhhh just wait not
How many minuteds does it take to make one balloon sculpture? How many balloons are used in one sculpture
Answer:
It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4
Step-by-step explanation:
