Answer:
Functional explanations are a type of explanation offered in the natural and social sciences. In giving these explanations, researchers appeal to the functions that a structure or system has.
Find an equation of the largest sphere with center (10, 8 , 7) that is contained completely in the first octant.
Answer:
The equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is [tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex].
Step-by-step explanation:
A sphere is described by its radius and center, the radius of the largest sphere contained in the first octant are determined by the least distance of the center with respect to an orthogonal axis, that is:
Distance regarding x-axis:
[tex]d_{x} = 10 - 0[/tex]
[tex]d_{x} = 10[/tex]
Distance regarding y-axis:
[tex]d_{y} = 8 - 0[/tex]
[tex]d_{y} = 8[/tex]
Distance regarding z-axis:
[tex]d_{z} = 7 - 0[/tex]
[tex]d_{z} = 7[/tex]
Hence, the radius of the sphere must have a measure of 7. The equation of the sphere is represented by the following geometric locus:
[tex](x-h)^{2} + (y-k)^{2} + (z - j)^{2} = r^{2}[/tex] (1)
Where:
[tex]h, k, j[/tex] - Coordinates of the center.
[tex]r[/tex] - Radius of the sphere.
If we know that [tex](h,k,j) = (10, 8, 7)[/tex] and [tex]r = 7[/tex], then the equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is:
[tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex]
6.b.Find the equation of the circle lies on 2x-3y+1=0 and the circle passing through the points (-1,2) and (2,3).
Answer:
(x + 1)² + (y - 7)² = 25Step-by-step explanation:
Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.
We'll find the equation of the line and solve the system to find the center.
Midpoint of the chord:
((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)Equation of the line through chord (-1,2) and (2,3):
m = (3 - 2)/(2 + 1) = 1/3y - 2 = 1/3(x + 1)y = 1/3x + 7/3Perpendicular bisector is:
y - 2.5 = -3(x - 0.5)y = -3x + 4 >> (1)And the given line is:
2x - 3y + 1 = 0y = 2/3x + 1/3 >> (2)Solve the system:
-3x + 4 = 2/3x + 1/3-9x + 12 = 2x + 111x = -11x = -1Find y:
y = -3(-1) + 4 = 3 + 4 = 7The center is (-1, 7)
Find the radius, the distance from center to one of points on circle
(-1, 7) and (-1, 2) 7 - 2 = 5The equation of circle is:
(x + 1)² + (y - 7)² = 5²(x + 1)² + (y - 7)² = 25
Hope This Helps!!!
Hope This Helps!!!Have A GREAT DAY!!!
PLS ANSWER ASAP!! Person with correct answer will be marked brainliest
Answer:
B
Step-by-step explanation:
The 3 angles (6x + 2), 40, 90 lie on s straight line and sum to 180° , that is
6x + 2 + 40 + 90 = 180
6x + 132 = 180 ( subtract 132 from both sides )
6x = 48 ( divide both sides by 6 )
x = 8 → B
8
[tex] \frac{50}{100} [/tex]
[tex]\sf\purple{0.5}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Plz help me well mark brainliest!!
Answer:
735 mm³
Step-by-step explanation:
49 x 15 = 735
Answer:
735mm
Step-by-step explanation:
Evaluate arccos (-1/2)
Answer:
120 degrees
Step-by-step explanation:
plugged into calculator
cos inverse of -1/2
Please mark Brainliest if you feel like it:)
Thare are 2 yellow 3 pink and 5 blue. What is the possibility of drawing two pink marbles of the first one is NOT placed back in to the bag before the second draw
Answer:
Hint
Step-by-step explanation:
What is the inverse operation of the square root?
Answer:
The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
help? (i mark brainlist if available)
Answer:
X < 120
Step-by-step explanation:
.....................
Answer:
option D
Step-by-step explanation:
X should be less than or equal to $120.00
Find the sum of the geometric series if n = 5, r = 2, a = 3.
Answer:
hope it helps you see the attachment for further information
sorry but my phone couldn't captured r=2
There are 5 blue dogs for every 2 green cats. How many green cats are there for 1 blue dog?
Answer:
2/5
Step-by-step explanation:
The ratio is 5:2 , simplify an you'll get 1:2/5
HELP HELP HELP HELP PLS
Answer:
D. 14 Please mark as brainliest!
Answer:
14
Step-by-step explanation:
input 3,4,5,6,7 output 14,20,26,32,38
Answer:
f(x) = 6x - 4.
Step-by-step explanation:
I guess you want the function which produces the outputs from the given inputs
The common difference in the outputs is 6.
The function is 6x - 4 where x is the input value.
Please help me answer this
Will give Brainly
Answer:
9.103
10. 77
11.60
12. 6.4
13. 20
14. 36
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
180 - (47 + 30) = 103
DEG = 180 - 103 = 77 angles on a straight line equals 180
An equilateral triangle has all 3 sides equal
if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
5² + 4² = 41
squareroot of 41 = 6.4
b : √(25² - 15²) = 20
√(60² - 48²) = 36
A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small tables. When filed, the large table seats 15 people, and the small table each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large tables are also filled?
Answer:
25 tables
Step-by-step explanation:
140-15=125
after the big table is filled 125 people are left
small tables fit 5 people
125÷5=25
1 big table and 25 small tables are needed to seat everyone
At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon
Circle 0.5 of the stars.
There are 5 stars in this role.
There are 5 stars in this role.
How many do we circle in total?
Answer:
2.5, 2 and 1 half stars
Step-by-step explanation:
0.5=1/2, so 5/2= 2.5
Answer:
5
Step-by-step explanation:
it is asking for .5 of the stars, which in percentage is 50%. if the total is 10 because 5 stars in each row and there are 2 rows. you add the numbers of stars per row, then divide it by 2, and you would get 5; so you would circle 5 stars.
On Monday the temperature was -5°F. How many degrees below zero was the temperature
Make a the subject of the formula.
please help asap!!!!!
Answer:
Step-by-step explanation:
W=[tex]\sqrt{x-a/a}[/tex]
squaring both sides
W^2=([tex]\sqrt{x-a/a}[/tex] )^2
W^2=x-a/a
wa=x-a
a=x-a/w
[tex] \boxed{\boxed{\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}}}[/tex]
[tex]w = \sqrt \dfrac{{x - a} }{a} [/tex][tex]w {}^{2} = \dfrac{x - a}{a} [/tex][tex]w {}^{2} = \dfrac{x}{a} - \dfrac{a}{a} [/tex][tex]w {}^{2} = \dfrac{x}{a} - 1[/tex][tex] {w}^{2} + 1 = \dfrac{x}{a} [/tex][tex] \dfrac{1}{w {}^{2} + 1 } = \dfrac{a}{x} [/tex][tex]a = \dfrac{x}{ {w}^{2} + 1 } [/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
What is 0.25% of 30?
Answer:
0.075
Step-by-step explanation:
Can somebody help me with this question
Answer:
[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]
Step-by-step explanation:
a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:
[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]
b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].
c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]
d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]
The probability that the number on the card is a perfect square is
From 2 to 101 , the perfect square numbers are ,
4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 .Total number of possible outcomes = 100.
Total number of favourable outcomes = 9 .
Hence ,
→ P ( of getting perfect square ) = 9/100
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
What is the cost when the tow plans cost the same?
Answer:
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
If f(x)=2x+17, then f(12)=
Answer:
41
Step-by-step explanation:
Simply substitute 12 to the x:
f(12)=2(12)+17
f(12)=24+17
f(12)=41
Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%
Answer:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Step-by-step explanation:
Given
[tex](63.3\%,79.1\%)[/tex]
Required
Express in form of: [tex]p \± ME[/tex]
First, calculate the midpiont (p)
[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]
[tex]p = \frac{142.4\%}{2}[/tex]
[tex]p = 71.2\%[/tex]
The margin of error (ME) is:
[tex]ME =79.1\% - 71.2\%[/tex]
[tex]ME =7.9\%[/tex]
So, we have:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
What is the outlier for the data set?
19, 19, 27, 21, 77, 18, 23, 29
Answer: 77
Step-by-step explanation:
A discount of 15% is offered on an item which previously Cost $1.80. What is the discounted price
Cost Price= CP= $1.80
Discounted Price = $ 1.53
Amount Saved= $ 0.27
Discount= 15%
The Discounted Price $ 1.53 is obtained after the discount percent applied to the cost price and subtracted from the cost price.
When the discounted price is subtracted from the Cost Price we get the amount saved.
Discount = discount % × Cost Price
Discount = 15% × $ 1.80 = $ 0.27
Discounted Price= Cost Price- Discount
= $1.8- $ 0.27= $ 1.53
https://brainly.com/question/22066753
Find the value of x that makes m || n
Answer:
x = 133
Step-by-step explanation:
x + 14 = 147
x (+ 14 - 14) = 147 - 14
x = 133
Please look at the image
Answer:
STN = 65 Completing the 180 degrees
115+m(STN)=180
m(STN)=65
mNTR=115
because The NTR and MTS meet theyself
mRTM=65
same The NTR and MTS
because RTM ans STN meet theyself
hopefully you understand it
i am trying hard to explain the question when i solve it but my engilish is not helping to handle it
Hi guys, I really need help, I reckon this is easy for you but I'm low-key disabled and need help with this question so please help me thx. <3
Answer:
15, 8, 66%, 40
Step-by-step explanation:
Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.
In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.
question a)
50 dollars or less, so the area of 50 dollars and below that.
from the chart we can see that this lines up to around 15 people.
question b)
now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)
we know if you didn't spend 100 dollars or less, you must have spent more than that.
so take 50-42=8
around 8 people spent 100 dollars or more.
question c)
basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.
33/50 = 0.66
around 66%
question d)
80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.
50 times 0.8 = 40
40 people
now just plot that on the graph (sorry i did it wrong in the image)