Answer: 9
Step-by-step explanation:
Your friend drew the diagram below to prove to you that two planes can intersect in exactly one point. Describe your friend's error.
A plane extends infinitely in two-dimension and it does not have a boundary
The error is in designating rectangles which are bounded planar shape as an whole plane
The reason for the error stated above is as follows:
Missing part of question: The drawing of the question that appear missing is attached
The definition of a plane in mathematics is an infinitely long and wide two-dimensional surface that has no thickness and which is defined by either;
Three non-colinear pointsTwo parallel and distinct linesTwo intersecting and distinct linesA point and a line not passing through the pointThe given figure is the diagram of two rectangles which are planar shapes enclosed by four straight line boundaries each of which are located in their respective planes that extends infinitely and are not entire planes by themselves
Therefore, the error is that a bounded planar figure is taken as being an infinite plane
Learn more about dots, lines, and planes here:
https://brainly.com/question/13180616
At Alexandra's Orchards, 99% of the trees are apple trees. Across town at Zachary's Orchards, 558 out of 563 trees are apple trees. Which orchards have a greater percentage of apple trees?
Answer:
Zachary's Orchards
Step-by-step explanation:
We are already given the percent of trees at Alexandra's Orchards, so nothing to do here, yet.
Zachary's Orchards we could find by dividing the trees over the total.
558/563 = .9911
Multiply by 10 in order to get a whole number
.9911 * 10 = 99.11
Hence, Zachary's Orchards have a greater percentage
I have an order to administer nitroglycerin 10mcg/min continuous infusion. The bottle of nitroglycerin available is 50mg in 250 ml of D5W. At what rate would you set the IV pump to infuse at
Answer:
The IV pump infusion rate = 0.05ml per minute
Step-by-step explanation:
available concentration = 50 mg per 250 ml of D5W
This means that
250 ml of D5W contains 50 mg
note that
mg = milligram
mcg = microgram
250 ml = 50mg
1ml = 50/250 mg
1ml = 0.2mg
Next, let us convert from milligram (mg) to microgam (mcg) since the unit of administration is in mcg.
1 mg = 1000 mcg
∴ 0.2 mg = 1000 × 0.2
= 200mcg
Therefore the available concentration 200mcg/ml
required concentration/min = 10
since 1 ml = 200mcg
1 mcg = (1 ÷ 200) ml
1 mcg = 0.005 ml
∴ 10 mcg = 0.005 × 10 = 0.05 ml
10 mcg is contained in 0.05 ml of the solution
Therefore, the IV pump infusion rate = 0.05ml per minute
I need to know what -(6h + 7) + 8 = -19 is
Answer:
10/3
Step-by-step explanation:
-1(6h + 7) = -6h - 7
-6h - 7 + 8 = -6h + 1
-6h + 1 = -19
-1 -1 - Subtract 1 from both sides.
-6h = -20
-6 -6 - Divide both sides by negative 6
h = 10/3
Answer:
h = 10/3
Step-by-step explanation:
-(6h + 7) + 8 = -19
Subtract 8 from each side
-(6h + 7) + 8-8 = -19-8
-(6h + 7) = -27
Divide by a negative
6h+7 = 27
subtract 7
6h+7-7 = 27-7
6h = 20
Divide by 6
6h/6 = 20/6
h = 10/3
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849381 - 9 = 849372
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At the end of a dice game, James has -5 points and Richard has 15 points. What is the difference in their scores? A. -20 B. 10 C. 20 D. -10
C) 20 points
Step-by-step explanation:James - 5
Richard + 15
What is the difference in their scores ?
+ 15 - (- 5) =
= 15 + 5
= 20 points
Answer:
a is the answer because the question had said that to find out the difference
two pens and one erasor cost Rs 35 and 3
pencils and four erasors cost rs 65 Find the
cost of pencil and erasor seperately pls submit it on paper
Answer:
write down the equations for each, add them then do some manipulation to get the pencil and erasors on one side
I feel dumb for this but can someone help me ¯\_(ツ)_/¯
Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?
Answer:
Oriental and American cockroach
Step-by-step explanation:
The question is not complete. The complete question is:
The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?
Answer: From the question, the Australian cockroach is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.
If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:
3.432 cm 3.438 cm 3.576 cm 3.583 cm
A model of a house has been drawn on a coordinate grid. One corner of the house has
been drawn at (6, 3). The drawing will be translated two units down and three units to the right. Where
will the same corner of the house be located?
A. (4, 6)
B. (6, 4)
C. (1, 9)
D. (9, 1)
Answer:
[tex]Point(9,1)[/tex]
Step-by-step explanation:
Given
Point: (6,3)
Required
Translate 2 units down and 3 units left
Taking the translation 1 after other
When a function is translated down, only the y axis is affected;
2 units down implies that, 2 be subtracted from the y value.
The function becomes
[tex]Point: (6, 3 - 2)[/tex]
[tex]Point: (6, 1)[/tex]
3 units right implies that, 3 be added tothe x value.
The function becomes
[tex]Point(3+6,1)[/tex]
[tex]Point(9,1)[/tex]
Hence;
Option D answers the question
Tim took his friends to the movies. He stared with $40 and bought 3 movie tickets that each cost x dollars. He also bought one tub of popcorn that cost $5.75. Which of the following expression(s) represent the amount of money Tim has left? *
(A) 40-x-x-x-5.75
(B) 40-3-5.75 34.25-3x
(C) 40-3X-5.75 0
(D) -3x+34.25 31.253
Answer:
40 - x - x - x - 5.75 OR 40 - 3x - 5.75 OR 34.25 - 3x
Step-by-step explanation:
To find the amount of money Tim has left, we will simply write an expression that starts with the total he started with subtracting each expense.
$40
- $x
- $x
- $x
- $5.75
________________________
$40 - $x - $x - $x - $5.75
= $ (40 - 5.75) - 3(x)
= $ 34.25 - 3x
So you can choose one of three of these expressions:
(1) 40 - x - x - x - 5.75
(2) 40 - 3x - 5.75
(3) 34.25 - 3x
Cheers.
What percentage of the UKs population is 14.1 million people?
The UK has a population of 66.65 million. What do 14.1 million people make up a percentage of?
Answer:
≈21.16%
Step-by-step explanation:
Population = 66.65 M
14.1 M make up:
14.1/66.65*100% ≈21.16%7/8 greater than or less than 2/4
Answer:
greater than
Step-by-step explanation:
7/8 is greater than 4/8
How do you know when to add or subtract?
The lengths of XY and YZ add up to the length of XZ:
XY + YZ = XZ
We know that XZ = 10 + 1/5 = 51/5, and XY = 4 + 2/3 = 14/3, so
14/3 + YZ = 51/5
Subtract 14/3 from both sides to solve for YZ:
YZ = 51/5 - 14/3
Find a common denominator; the least common multiple of 5 and 3 is 15, so multiply the first fraction by 3/3 and the second one by 5/5 to get
YZ = 153/15 - 70/15
YZ = (153 - 70)/15
YZ = 83/15
We have 80 = 75 + 8, so that
YZ = 83/15 = (75 + 8)/15 = 75/15 + 8/15 = 5 + 8/15
3
The sum of two consecutive whole numbers is
91. What are the numbers?
Represent your numbers as follows.
X ⇒ first number
X + 1 ⇒ second number
Since their sum is 91, we have x + (x + 1) = 91.
Solving from here, simplify on the left side to get 2x + 1 = 91.
Subtract 1 from both sides to get 2x = 90.
Now divide both sides by 2 and x = 45.
So if x = 45, then x + 1 must be 46.
So our numbers are 45 and 46.
Answer:
5423875
Step-by-step explanation:
last month jensen earned $270 for h hours of working. this month, she earned the same rate for 15 hours of working. write an expression to show how much jensen earned his month
(a−y)2+2y3 if a=2 and y=−3.
Answer: - 8
Step-by-step explanation:
(2-(-3)*2+2*(-3)*3
10-18
= - 8
Inbox me on fb with same username for further assistance
Viola has 185 cans of soda. Dixie has 17 cans of soda less than viola. How many cans
of soda does Dixie have?
Can someone please convert this into a algebraic expression?
Answer:
168
Step-by-step explanation:
No of cans of soda Dixie has = 185 - 17 = 168
Another way:
Let Dixie has x cans of soda
Therefore,
Viola has = (x + 17) cans
According to the given information:
x + 17 = 185
x = 185 - 17
x = 168
Variations question help please
Answer:
y = 156
Step-by-step explanation:
The equation for direct variation is
y = kx
65 = k*5
Divide each side by 5
65/5 = k
13 =k
The equation is y = 13x
Let x = 12
y = 13*12
y = 156
given directed line segment ab find the coordinates of p such thats the ratio of ap to pd is 2:1
Answer:
The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)
Step-by-step explanation:
The dimension of the graph can be taken as 1 box = 1 unit
Therefore;
The coordinates of the point A = (-2, -7)
The coordinates of the point B = (1, 8)
For the a point P that gives the ratio AP to PB = 2:1 is given as follows;
The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB
Which gives;
The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))
P = (0, 3)
Therefore;
The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).
A rectangular garden has a perimeter of 578 yds.
The length is one more than three times the width.
Find the dimensions of the garden.
Answer:
Width (w) = 72 yds
Length (L) = 217 yds
Step-by-step explanation:
Let L represent the length.
Let w represent the width.
From the question given above:
Perimeter (P) = 578 yds.
Length (L) is one more than three times the width (w). This can be written as. Follow:
three times the width (w) = 3w
Therefore, the length (L) is given by:
L = 1 + 3w
Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:
Recall:
Perimeter of rectangle is given by:
P = 2(L + w)
P = 2L + 2w
Perimeter (P) = 578 yds.
Length (L) = 1 + 3w
Width (w) = w
P = 2L + 2w
578 = 2(1 + 3w) + 2w
Clear bracket
578 = 2 + 6w + 2w
578 = 2 + 8w
Collect like terms
578 - 2 = 8w
576 = 8w
Divide both side by 8
w = 576/8
w = 72
Therefore, the width is 72 yds
L = 1 + 3w
w = 72
L = 1 + 3(72)
L = 1 + 216
L = 217
Therefore, the length is 217 yds.
The dimensions of the garden is given below:
Width (w) = 72 yds.
Length (L) = 217 yds.
Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
O 3
07
O 16
O 48
please help!!
kinda disrespectful someone didn't answer this but anyway..
Without an explanation your answer is 7
W/ an explanation:
___________________________________
7 should be removed from the list because all the other numbers can multiply to 48
1 x 48 ✔
2 x 24 ✔
3 x 16 ✔
4 x 12 ✔
6 x 8 ✔
7 x ? ❌
Thus, 7 is left with nothing to multiply by besides itself which would give you 47 but the number we have the list of is 48. So 7 is your number to remove from the list.
Variations problem Help please
Answer:
9
Step-by-step explanation:
12-5=7 so...
2+7 = 9
y = 9
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $375 to drive 380 mi and in June it cost her $455 to drive 700 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
idk
Step-by-step explanation:
Anam is thinking of a prime number it is between 40 to 60 the differnce between is digit is 3 what prime number is anum thinking of?
Answer:There are two possible answers. 41 and 47
Step-by-step explanation: These both have a difference of 3 between the digits. Other prime numbers between 40 and 60: 43, 53, 57, 59 have differences of 1, 2, and 4.
jamal deposits 2,500 into each of two savings accounts.The first account has a 4% annual simple interest .Account two earns 5% annual simple interest.what is the sum of the account in 3 years?
Answer:
$5,675
Step-by-step explanation:
you would just take 4% and 5% of 2500 which is 100 and 125 and multiply them both by 3 which is 300 and 375 and add them both to the 2500 which is 2800 and 2875 and since it asks for the sum you would add then to get a total of $5,675
Anyone have a way to find the GCF faster? I’m in 7th grade btw
Answer:
yep
Step-by-step explanation:
60 and 72/2
30 and 36/2
15 and 18/3
5 and 6
Answer:
got you i dont see a picture so
Step-by-step expla nation:
18 and 12/6
30 and 36/2
15 and 18/3
80 and 8/8 thats just somehting simple
Simplify the expression:
(12x - 3+ 2x) + (5 + 3x? - 2x)
Helppp and how do did u simply it!!
Answer:
20[tex]x^{2}[/tex] + 109x -15
Step-by-step explanation:
12x * 5 = 60x
12x * 3x = 36x
12x * -2x= -24[tex]x^{2}[/tex]
-3 * 5 = -15
-3 * 3x = -9x
-3 * -2x = 6x
2x * 5 = 10x
2x * 3x =6x
2x * -2x= -4[tex]x^{2}[/tex]
60x + 36x -9x + 6x + 10x + 6x = 109x
24[tex]x^{2}[/tex] - 4
-15
Hope this helpss
Up and down represents_________ and left to right represents_________.
Answer:
y-axis and x-axis
Step-by-step explanation:
A softball has a diameter of 3.8in. How many softballs will fit inside of a storage unit that is 6 feet wide,10 feet wide, and 8 feet high?
Answer:
29090
Step-by-step explanation:
First of all, we will have to calculate the volumes of a soft ball and the volume of box.
Then we will divide the volume of box with volume of softball to find the number of balls that can be stored in the box.
Diameter of softball = 3.8 in
Radius of softball = 1.9 in = 0.158 ft
Volume of a sphere = [tex]\frac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow \dfrac{4}{3}\pi (0.158)^3=0.0165\ ft^3[/tex]
Volume of cuboid box = Length [tex]\times[/tex] Width [tex]\times[/tex] Height = 6 [tex]\times[/tex] 10 [tex]\times[/tex] 8 = 480 [tex]ft^3[/tex]
Number of softballs that can fit inside the storage = [tex]\frac{480}{0.0165}[/tex] = 29090