Answer:
Choice D. There is exactly one plane that contains the three ducks: [tex]\sf G[/tex], [tex]\sf H[/tex], and [tex]\sf J[/tex].
Step-by-step explanation:
The three points [tex]\sf G[/tex], [tex]\sf H[/tex], and [tex]\sf J[/tex] are distinct since each of the three points represents a different duck.
There's only one line through two distinct points in a 2D cartesian plane.
Likewise, given two distinct points ([tex]\sf G[/tex] and [tex]\sf J[/tex]) in a 3D space, there would be only one line two the two points.
Assume that plane [tex]\sf L[/tex] represents the plane that contains the surface of the lake.
A line is in a plane if and only if all points on that line are in the said plane.
Point [tex]\sf G[/tex] is on the line that contains [tex]\sf G\![/tex] and [tex]\sf H[/tex]. However, since point [tex]\!\sf G[/tex] denotes the flying duck, this point would not be in [tex]\sf L[/tex] (the plane that contains the surface of the lake.)
Hence, the line that contains [tex]\sf G\![/tex] and [tex]\sf H\![/tex] would not be in plane [tex]\sf L\![/tex].
Given three distinct points in a 3D space, there would be exactly one plane that contains the three points.
Hence, three points in a 3D space would not be non-coplanar.
In this question, point [tex]\sf G[/tex], [tex]\sf H[/tex], and [tex]\sf J[/tex] are all distinct. Hence, there would be exactly one plane that contains these three points.
Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?
9514 1404 393
Answer:
fixed: tuition, room, mealsvariable: books, personal, transportationStep-by-step explanation:
"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...
Fixed
tuition and fees: $4640room and board: $10,304campus meal plan: $3998"Variable" expenses are ones that change depending on circumstances. Those would include ...
Variable
books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )
Answer:
Step-by-step explanation:
x(x² + 2x + 4)-2((x² + 2x + 4)
x³+2x²+4x -2x²-4x-8
x³-8
Does anyone know how to divide a fourth degree polynomial
Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.
Step-by-step explanation:
The government measures economic activity by calculating the
The Gross Domestic Product measures the value of economic activity within a country. Strictly defined, GDP is the sum of the market values, or prices, of all final goods and services produced in an economy during a period of time.
Hope this helps!
the image Of A(a+2b,2a-b) when reflected in the line y=x is A'(b-a,4b-2a). Show that 3a=2b
Answer:
1vbrbdhrgdvsvdbbd
Step-by-step explanation:
bhegsbdvsvdvdbrbdbr
ddghehrhebfhfhrhd
ehebrnrjrjrnr
dvdbdbfbfbfbtnyn
A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.
Answer:
The number is 2
Step-by-step explanation:
x * 16 + 4 = 9*4
x * 16 + 4 = 36
x * 16 + 4 - 4 = 36 - 4
x * 16 = 32
x * 16 / 16 = 32 / 16
x = 2
Answer:
The number is 2
Step-by-step explanation:
let the number be "a"
16a+4=4×9
16a+4=36
16a=36-4
16a=32
a=2
Solve 2/5 x + 1/2 = 5/6
Answer:
5/6
Step-by-step explanation:
I'm assuming the x in your equation is used as a variable.
5/6-1/2= 2/6=1/3
2/5x=1/3
x=5/6
If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick? Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.
Answer:
i dont know that well but i do know 1 meter is roughly 2ft, so id say about 25.5 inches
0.01 inch is the length of a meter stick.
To find the length of a meter stick in inches, we can use the conversion factor:
1 meter = 100 centimeters
1 inch = 2.54 centimeters
We can set up the proportion:
1 meter / 100 centimeters = x inches / 1 inch
Cross-multiplying:
1 meter × 1 inch = 100 centimeters × x inches
x = (1 meter × 1 inch) / (100 centimeters)
x = 1 inch / 100
x = 0.01 inch
To learn more on Conversion factor click:
https://brainly.com/question/32020768
#SPJ6
Find the area of each shaded region. Show your reasoning.
maybe we could answer if there waas a pic=]
PLEASE HELP WITH THE SCREENSHOT BELOW
Answer:
32.8
Step-by-step explanation:
well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8
Three times the sum of a number and 2 is the same as three-fifths of the sum of the same
number and 22. What is the number?
Answer:
3
Step-by-step explanation:
3(n+2)=3/5(n+22)
3n+6=3/5n+66/5
3n-3/5n = 66/5 - 6
2.4n = 7.2
n = 7.2/2.4
n = 3
Can anyone help me with this question please!???!??
Answer:
initial population : 89
after 9 years : 676
Step-by-step explanation:
no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.
the initial population is P(0). or t = 0.
simply when there were 0 years since the fish were added.
that is simple.
we get (as -0.42×0 = 0)
800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89
now, after 9 years we have to calculate P(9). or t=9.
let's pre-calculate : -0.42×9 = -3.78
e to the power of -3.78 = 0.022822691...
8 times this is 0.182581531...
and plus 1 is 1.182581531...
800 / 1.182581531... = 676.486127 ≈ 676
Helppppp plzzzzzzz!!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Answer:
slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.
Step-by-step explanation:
4v + 1) + v = 5(v - 1) +9
Answer:
Step-by-step explanation:
4(v+1)+v=5(v-1)+9
distribute
4v+4+v
which is
5v+4=5v-5+9
5v+4=5v+4
No solution is the answer
least multiple of 2983548
Answer:
it must be 2983548×2............
Barry is checking his bank account for a few transactions that he completed. He had $230
in his account to start and then contributed a check for $360. He paid his water, electric and
cable bill, which were $100, $46 and $107. How much money is in his bank account?
A. $253
B. $383
C. $590
D. $337
Answer:
D.
Step-by-step explanation:
$230 + $360 = $590
$590 - $253* = $337
$337
*( total sum of all the bills )
Add or Subtract: show all written work 30 POINTS!!
Answer:
I hope it helped U
stay safe stay happy
If y= 2x+3, find the value of y when x= 2.
Answer:
7
Step-by-step explanation:
subtitue x=2 in given equation as:
y= 2(2)+3
y= 4+3
y=7
PLEASE HELP NOW
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:
Solution=96°+x+35°
=x+96°+35°
=x=96°-35°
=x=61°
Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the first mapping is a function
2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.
3. the third mapping is a function
4. the fourth mapping is not a function, because B has no relation.
If 3x+2=5/9, what is the value of −3x+8?
Answer:
[tex] \frac{85}{9} [/tex]
Step-by-step explanation:
hopefully the picture is clear and understandable!
:)
the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?
iwidncuhbcffbhbhvfrhur3huivr4hiuvriuvfruvfiuvfjivfrjiovrjiovfriojvrfjiovfiovrfmvr mkormkvmkvkmorbemoivbe
Answer:
3.14159265358979
Step-by-step explanation:
A researcher observed elementary school children in a rural setting vs. an urban setting. She believes the proportion of students who get the recommended amount of daily exercise may be different for students in the urban vs. rural setting.
Requied:
What would be the most appropriate test to test the researcher's claim?
Answer:
Go to multiple schools in urban and rural areas and find out how much exercise they get. Compare the data/research to find out if one gets more than the other, less, or equally the same amount of exericise.
If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap
Answer:
B
Step-by-step explanation:
f^(-1) (x) = (x-1)/3
f^(-1) (10) = (10-1)/3 = 3.
Dhruv jogs 8ft per second find the rate in miles
Answer:
1/660th of a mile per second
Step-by-step explanation:
There are 5280 feet in a mile, and he is going 8 feet per second. You do 5280/8 and you get that he goes 1/660th of a mile every second.
6 less than 8 times a number (x) is equal to 14
Answer:
8x-6=14
Step-by-step explanation:
Whenever you see less next to a number, you know it's gonna be -6. If it said 6 minus 8x though, then you would do 6-8x etc. Hope this helped.
Use the Distributive Property to multiply. 2(b – 7)
Answer:
2b - 14
Step-by-step explanation:
2(b – 7)
2b - 14
Answer:
[tex]2b-14[/tex]
Step-by-step explanation:
Using the distributive property, [tex]2(b-7)[/tex] can be written as [tex](2\cdot b)-(2\cdot7)[/tex] which solved/simplified is [tex]2b-14[/tex]
Man, it's late! Well, hope this helped you out and answered your question!
I need help ASAP whit this question
Answer:
B. 7
Step-by-step explanation:
The original box must be 1 by 1 by 1.
So then the new box would be 2 by 2 by 2.
2×2×2=8
8-1=7
I hope this helps!
pls ❤ and mark brainliest pls!
<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5
Here <5=<8 then
<7=<6=29[tex]\\ \sf\longmapsto <7+<8=90[/tex]
[tex]\\ \sf\longmapsto 29+<8=90[/tex]
[tex]\\ \sf\longmapsto <8=90-29[/tex]
[tex]\\ \sf\longmapsto <8=61[/tex]
<5=61°