Answer:
[tex]d = \sqrt[2]{34}[/tex]
Step-by-step explanation:
We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).
Use the following distance formula:
[tex]distance[/tex] [tex](d) =[/tex] [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - x_{2})^2 }[/tex]
Let:
Point B(2 , -5) = (x₁ , y₁)
Point A(-4 , 5) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables.
[tex]d =[/tex] [tex]\sqrt{(-4 - 2)^{2} + (5 - (-5))^{2} }[/tex]
Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.
[tex]d = \sqrt{(-6)^{2} + (5 + 5)^{2} } \\d = \sqrt{(-6 * -6) + (10)^2} \\d = \sqrt{(36) + (10 * 10)} \\d = \sqrt{36 + (100)} \\d = \sqrt{136}[/tex]
Simplify:
[tex]d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}[/tex]
[tex]d = \sqrt[2]{34}[/tex] is your answer.
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Eating on campus The director of student life at a small college wants to know what percent of students eat regularly in the cafeteria. To find out, the director selects an SRS of 300 students who live in the dorms. Describe how undercoverage might lead to bias in this study. Explain the likely direction of the bias.
Answer:
Well, in this case all the students selected live in the dorms, so it is actually likely that they eat in the cafeteria regularly.
For example, a student that lives in a house (with family, friends, etc) may have access to eat in his own place or may have larger economic freedom, so maybe they go and eat out. In this group, you may find that the probability for a randomly selected student eats in the cafeteria regularly may be smaller than in the group of the students that live in the dorms.
So the sample will be biassed towards eating regularly in the cafeteria.
Convert 32,190 inches /year to yards
Answer:
2.4 yards a day
Step-by-step explanation:
32,190 inches = 894.167 yards
894.167 / 365 = 2.4 yds/day
The conversion of 32,190 inches /year to yards/day yields: 2.4 yards/day
To convert 32190 inches/year to yards per day;
We must first find the conversion factor of inches to yards andWe must also find the conversion factor of years to days.In essence, since 1 inch = 0.0278 yards.
Therefore, we have;
32190 inches/year = 32190 × 0.0278 yards/year.= 894.88yards/year.However, 365 days make one year;
Therefore,
894.88 yards/year = (894.88/365) yards/day.= 2.4 yards/day.
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An object is moving at a speed of 4 meters per month. Express this speed in inches
per hour. Round your answer to the nearest hundredth.
*Note: you must use these exact conversion factors to get this question right.
Distance / length
Time
1 foot (ft) = 12 inches (in)
1 minute (min) = 60 seconds (sec)
1 yard (yd) = 3 feet (ft)
1 hour (hr) = 60 minutes (min)
1 mile (mi) = 5280 feet (ft)
1 day (day) = 24 hours (hr)
1 meter (m) = 100 centimeters (cm)
1 week (week) = 7 days (days)
1 kilometer (km) = 1000 meters (m)
1 month (month) = 30 days (days)
1 inch (in) = 2.54 centimeters (cm)
1 year (year) = 365 days (days)
1 foot (ft) = 0.305 meters (m)
1 mile (mi) = 1.609 kilometers (km)
Answer:
0.22inches/hourStep-by-step explanation:
Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.
First we will need to convert 4meters to inches
From the conversion factors given,
1 foot (ft) = 0.305 meters (m)
x ft = 4metres
cross multiply
x * 0.305 = 4*1
x = 4/0.305
x = 13.115ft
4 metres = 13.115ft
Then we will convert 13.115ft to inches
From the conversion factors,
1 foot (ft) = 12 inches (in)
13.115ft = y
cross multiply
y = 13.115*12
y = 157.377 inches
Hence 4 metres = 157.77inches.
For 1 month to hour
First we need to convert month to days and from the conversion factor
1 month = 30 days
Next is to convert 30days to hours
Since 1 day = 24hours
30days = z
z = 30* 24
z = 720hours
Hence 1 month = 720hours
On converting 4metres/month to inches/hour
4metres/month = 157.77inches/720hours
4metres/month = 0.219inches/hour
Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour
78.84 meters= Centimeter
Answer:
7884 Centemeters
Step-by-step explanation:
SOMEONE HELP PLEASEEE !!!
Answer:
if im right its 13.09 miles since perimiter is just the total length of the outside lines.
Step-by-step explanation:
What is 2x=4????????????
Answer:
x = 2
Step-by-step explanation:
2× = 4
x = 2
2x = 4
4/2 = 2
so...
2(2) = 4
x = 2
how many pennies fit in a 22-inch circle?
Answer :
663 Pennies can fit into a 22-inch circle
The required number of pennies fit in the circle is 13.
Area of the Circle:The formula of the area of the circle is [tex]A=\pi r^2[/tex]
As we know that the standard radius of a penny is 0.75 inch
So, the area of the one penny is,
[tex]A=\pi r^2\\A=3.14\times (0.75)^2\\A=1.77[/tex]
So, the total number of pennies fit in the 22-inch circle is,
[tex]n=\frac{22}{1.77} \\n=12.49\\n\approx 13[/tex]
Learn more about the topic of the area of the circle:
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Midpoint of the segment with endpoints (-8, 5) and (3, -6)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{( - 2.5 \: , \: - 0.5)}}}}}[/tex]
Step-by-step explanation:
Let the given points be A and B
Let A( -8 , 5 ) be ( x₁ , y₁ ) and B ( 3 , -6 ) be ( x₂, y₂ )
Finding the midpoint
[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} , \: \frac{5 + ( - 6)}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} \: , \: \frac{5 - 6}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 5}{2} \: , \: \frac{ - 1}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( - 2.5 \: , \: - 0.5 \: )}}[/tex]
Hope I helped !
Best regards!
The function f(x) is shown on the graph.
What is f(0)
Answer:
-6 only
Step-by-step explanation:
i just did the test
A graph titled Population of Old Town has Time (years after 2000) on the x-axis, and number of people on the y-axis. A line goes through points (4, 7,000) and (6, 6,500).What is the slope for this scenario?
-500
-250
-1/4
200
Answer:
-250
Step-by-step explanation:
It was right on edge
Answer:
The answer is -250
Step-by-step explanation:
it was on edge and i got it right
Simplify this expression.
275(13 + 2)
265 + 2/10
25+27
26765 + 2/10
O 265 +2 10
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars
Answer:$ 44.70
Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687
Answer:
He has 45 USD left.
Step-by-step explanation:
250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.
The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600
How many minutes after liftoff is the plane at an attitude of 21,000 feet?
I need help understanding this ASAP PLZ!!!
Answer:
6 minutes
Step-by-step explanation:
'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:
21000 = 3400t +600
You can solve this for t:
20400 = 3400t . . . . . subtract 600 from both sides
6 = t . . . . . . . . . . . . . . . divide both sides by 3400
The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.
The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:
The plane is at an altitude of 21000 feet 6 minutes after lift off.
16. Rahul cycles at a speed of 6km/hr to reach school in 20 minutes. What should his
speed be if he wants to reach school in 15 minutes?
Step-by-step explanation:
Distance to school = (6km/h)(1/3h) = 2km
2km in 15 minutes = 8km in 60 minutes.
Hence his speed should be 8km/h.
An average African elephant weighs about 9,072 pounds. How is this number written in scientific notation?
Answer:9.072×10³
Step-by-step explanation:
A number is said to be written in a scientific notation or standard form if it is expressed in the form a×10n where 1 is less than or equal to a and a is less than 10 and n is an integer
9072 is more than 10
So 9072÷10=907.2
Still 907.2 is more than 10
So 907.2÷10=90.72
Still 90.72 is more than 10
So 90.72÷10=9.072
9.072 is less than 10
We divided 9072 by 1000 and 1000 as a power of ten is 10³
So the answer is 9.072×10³
Answer:
9.07210
math it's so fun right? :)
Solve the equation below for y.
8x+4y=20
Factor 6x^2+28x+16 Thank you so much for your help!
Answer:
2(3x+2)(x+4)
Step-by-step explanation:
6x^2+28x+16
first : 2 as a common factor:
2(3x²+14x+8) then factorize
2(3x+2)(x+4)
The greater of 2 consecutive odd integers is 8
more than 3 times the lesser. Find the integers.
Step-by-step explanation:
let the odd integers be a, a+2.
a+2=8+3a
collect like term
a-3a=8-2
-2a=6
a=-3
so the integers are -3, -1
3x−5−2(−x+9)=2 plz help
Answer:
X = 5
Step-by-step explanation:
multiply what is in the ( )
-2 ( -2)
-2 ( 9)
3x -5 +2x -18 = 2
combine like terms
5x -23 = 2
add 23 to both sides
5x = 25
divide 25 by 5
X = 5
How do I solve an absolute value question?
Answer:
absolute value is how many units it is away from 0. meaning that -6 and 6 both have an abosolute value of 6.
Step-by-step explanation:
3 over the power of 2 multiply by 3 over the power of 5
Answer:
[tex] 3^2 \times 3^5 = 3^7 [/tex]
3^2 * 3^5 = 3^7
Step-by-step explanation:
I assume you mean this:
[tex] 3^2 \times 3^5 [/tex]
If so, then the rule is that when you multiply two numbers with the same base, you give the same base and add the exponents.
[tex] 3^2 \times 3^5 = 3^{2 + 5} = 3^7 [/tex]
2x+3y=12 complete the missing value in the solution to the equation
Answer:
(-6,8) is your answer.
Step-by-step explanation:
1. 2x + 3y = 12
2. 2x +3 * 8 = 12
3. 2x + 24 = 12
4. 2x = -12
5. x = -6
So, our final answer is (-6,8)
Convert the given amount to the given unit.
6.5 lb; ounces
6.5 lb =
ounces
Answer:
the answer is 104
Step-by-step explanation:
1= 16
6= 96
0,5=8
When the movie is half over, popcorn sells for half price. Which expression can be used to determine the new cost for 3 orders of popcorn and 3 drinks? 3 Left-bracket one-half (3.50) + 1.35 Right-bracket One-half (3.50) + 3 (1.35) One-half left-bracket 3 (3.50) + 3 (1.35) right-bracket (3.50) (3) divided by one-half + 1.35
Answer:
3[1/2(3.50)+1.35]Step-by-step explanation:
The expression for new cost is 3(3.50/2 + 1.35)
What is equations?A mathematical statement that consists of two expressions connected by an equal sign is called an equation.
Given the cost of popcorn is half when movie is half over,
according to question
original cost of popcorn = 3.50
cost at interval = 3.50/2
cost of drink = 1.35
cost of 3 drink = 3 x 1.35
cost of 3 popcorn = 3 x 3.50/2
expression for new cost for 3 orders of popcorn and 3 drinks
3 x 3.50/2 + 3 x 1.35
= 3(3.50/2 + 1.35)
Hence the expression is 3(3.50/2 + 1.35)
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8. Joe walked 5 miles north, 9 miles east, then 9 miles north, and 7 miles east. If Joe decides to
walk straight back to where he started, how far must he walk?
Answer:
tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles?
since the rate was 45 cents i multiplied 0.45 by 1.1 and got 0.495 and then i kept adding to the cost and 1/4 to the amount of miles until i got 3 1/8 miles. my answer was 4.715 so i rounded to 4.72, is that correct?Step-by-step explanation:
What ratios can we say are equivalent to 2:9?
Answer:
4:18, 6:27, etc
Step-by-step explanation:
Basically, anything x 2 and x 9 would be equivalent as a ratio
Answer:
4:18
Step-by-step explanation:
times them both by two
Students are planning the backdrop for the school play. The backdrop is 15 feet wide and 10 feet high. Every 16 inches on the scale drawing represents 5 feet on the backdrop What is the area of the scale drawing?
Answer:6
Step-by-step explanation:
the slope of (-2,3) and (4,-5)
Answer:
-4/3
Step-by-step explanation:
Slope= - 5-3/4+2
Slope= - 8/6
Slope = - 4/3
answer:
0.75 i think i'm not really sure i hope it helps tho
Step-by-step explanation:
Please help me!!!!!!
Answer:
105
Step-by-step explanation:
LN = 6x
LN = LM + MN ➡ LN = 4x + 8 + 27 so 6x = 4x + 8 + 27
2x = 35 and x = 17.5
6 × 17.5 = 105
Answer:
105
Step-by-step explanation:
4x+8+27=6x
subtract 4x from both sides you get 35 = 2x
divide and get x= 17.5
you know LN = 6(x), so substitute 17.5 in for x and you get 6(17.5)= 105
Solve for x.
144=12(x+7-2) Steps please
Answer:
x=7
Steps:
12=x+7-2
12= x + 7 - 2
12 = x + 5
-x = 5 - 12
-x = -7
x = 7