Answer:
3 tenths +4 tenths: 7 tenths
Step-by-step explanation:
2+1 :3
so
3+4:7
The solution to an inequality is represented by the number line
If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members
A set S has four members if there are six subsets of it, each with two members.
The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.
[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]
There are 6 subsets in this situation, each with 2 members.
So, [tex]^nC_2[/tex] = 6
Simplifying the equation:
n! / (2!(n-2)!) = 6
n(n-1) / (2 x 1) = 6
n(n-1) / 2 = 6
n(n-1) = 12
Expanding the equation:
[tex]n^2 - n = 12[/tex]
[tex]n^2 - n - 12 = 0[/tex]
Factoring the quadratic equation:
(n - 4)(n + 3) = 0
When all factors are set to zero and n is calculated:
n - 4 = 0 or n + 3 = 0
n = 4 or n = -3
Since n must be a positive integer.
So, n = 4 is the valid solution.
Thus, set S consists of 4 members.
Learn more about Combination here:
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1. View The Truth Behind the Golden Ratio video (https://youtu.be/92ZiDsOf2z0)
for additional examples of
the Golden Ratio. Select your favorite example from the video (or your own
research) and explain why this specific example is so interesting to you.
(Possible keywords: the golden ratio + in nature, + in art, + in the human
body, + in geometry).
2. Now that you know more about the Golden Ratio, do you believe its
common presence shows evidence of a grand design within the universe or
is it simply a coincidence? Explain why you feel that way.
3. How does this topic reinforce or change your belief about the application of
math to your daily life?
According to the the video, the Golden Ratio is a figure in mathematics theorized by mathematicians as a value that indicates natures beauty symmetry
[tex]\mathbf{The \ value\ of \ the \ Golden \ ratio \ is \ \phi} = \mathbf{\dfrac{1 + \sqrt{5} }{2} }[/tex]
Good examples of the Golden Ratio in art and architecture is the Great Pyramid of Giza, constructed in 2570 B.C. and the temple of Parthenon for which construction began in 447 BC and the decoration completed in 432 BC
The reason the temple of Parthenon is so interesting is that the temple just like the pyramid were meant to last indefinitely, such that they can only be made to last so long by the deities, as such by building using the Golden Ratio found in nature including the spiral galaxies, is in recognition of nature's beauty which is aesthetically pleasing to the eyes, harmonious, and maybe preservative
2. The common presence of the Golden Ratio in the universe can be seen as both a grand design and a coincidence, however, due to the higher prevalence than random occurrence, it can be taken as a design that can be observed in nature
3. The topic helps reinforce the belief in the application of math to daily life, because it is a good portrayal of how math can contribute to all aspect of human life
Learn more about the Golden Ratio here:
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https://brainly.com/question/15895546
Answer:
Step-by-step explanation:
for additional examples of the Golden Ratio. Select your favorite example from the video (or your own research) and explain
why this specific example is so interesting to you. (Possible keywords: the golden ratio + in nature, + in art, + in the human body, + in geometry).
−
2
5
y=
\,\,-11
−11
gbaijwghwugaggaufgwhhsuhwkhsiw
test the validity of the following whenever he participates in a race, he is the winner. either he participates in the race or he is sick he is not the winner. therefore he is sick
The test of validity is used to determine whether a claim is true or not, based on certain condition(s).
The validity of the given statement is true.
From the question, the given condition is:
Whenever he participates in a race, he is the winner
This can be interpreted as follows:
He wins all races he participates in.He doesn't win a race he doesn't participate in.So, if he is sick; it means that he does not participate in the race and as such he is not the winner.
Hence, the validity of the following statement is true
"Either he participates in the race or he is sick he is not the winner, therefore he is sick."
Read more about test of validity at
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Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
6
NA
O The function is positive for all real values of x where
x < -1.
The function is negative for all real values of x
where
x < -3 and where x > 1
The function is positive for all real values of x where
x>0
The function is negative for all real values of x
where
X<-3 or x>-11
+
6
4
2
4
6
x
-2
-2
4
-6-
-
Mark this and retum
Save and Exit
Next
Submit
9514 1404 393
Answer:
(b) The function is negative for all real values of x where x < -3 and where x > 1
Step-by-step explanation:
It is pretty easy to tell from the graph that the function is negative for x < -3 and for x > 1.
4. If
A. 35
B.180
C.125
D.55
Answer:
C
Step-by-step explanation:
z=x as they are alternate angles and x=o as they are alternate exterior angles
The product of 9 and 4 is divided by 6 .Make mathematical expressions and simplify
Answer:
The answer is 6
Step-by-step explanation:
9×4/6
=36/6
=6.
What is a rational number between -1/5 and -2/5?
Answer:
-1/4
Step-by-step explanation:
-0.25
4(2(-2)+3(3)-2(4.2)
......
How can you rewrite simple rational expressions in different forms using long division?
(50 POINTS)PLEASE!!!!!
Factor 2x² + 13x + 20
Answer:
(2x+5)(x+4)
Step-by-step explanation:
9514 1404 393
Answer:
(x +4)(2x +5)
Step-by-step explanation:
To factor this, you look for factors of 2·20 = 40 that have a sum of 13.
The factor pairs of 40 are ...
40 = 1·40 = 2·20 = 4·10 = 5·8
The sums of these factor pairs are 41, 22, 14, 13. The last one is the one we want.
There are several ways to use this factor pair. One of the more straightforward methods is to rewrite the middle term as a sum using these numbers:
2x² +5x +8x +20
= x(2x +5) +4(2x +5) . . . . . factor pairs of terms
= (x +4)(2x +5) . . . . . . . . . factor out the common factor
6 tables or 8 chair cost Rs 2400.What will 24 tables and 12 chairs cost?
Step-by-step explanation:
cost of 1 table=2400/6=rs.400
or ,cost of 1 chair=2400/8=rs.300
now,
cost of 24 tables=24×400=9600
or,cost of 12 chairs=12×300=3600
or,
may be the question is,
6tables + 8 chairs= 2400
24 tables + 12 chairs=?
solution,
cost of 1 tables=rs.200
cost of 1 chair=rs.150
now,
cost of 24 tables=200×24=4800
cost of 12 chairs=150×12=1800
so, ans= 4800+1800=6600
Answer:
Rs.13200
Step-by-step explanation:
cost of 6 tables=Rs.2400
or,
cost of 8 chair=Rs.2400
cost of 1 table=2400/6
=Rs.400
cost of 1 chair=2400/8
=Rs.300
cost of 24 tables=24*400
=Rs.9600
cost of 12 chairs=12*300
=Rs.3600
total cost of 24 tables and 12 chairs=9600+3600
=Rs.13200
Devaughn is 6 years younger than Sydney. The sum of their ages is 46 . What is Sydney's age?
52
if im wrong, sorry
if im right, yay
Will give brainliest answer
Answer:
a
Step-by-step explanation:
plz gimme brainliest
BRAINIEST TO WHOEVER RIGHT
Answer:
(-6,6)
Step-by-step explanation:
A circle has a diameter of 6, an area of b square units, and a circumference of c units. What is the value of b + c ?
Answer:
Step-by-step explanation:
Diameter = 6 units
Radius = Diameter/2 = 6/2 = 3 units
Taking π=3.14
Circumference = 2(π)(r) = 2(3.14)(3) = 6(3.14) = 18.84 = c
c = 18.84
Area = π(r)^2 = π(3)^2 = 9π =9(3.14) = 28.26 = b
b = 28.26
So,
b + c = 28.26 + 18.84 = 47.1
Answer:
b=6π the unit(cm)
c=18.84 the unit(cm)
b+c=
9+18.84=27.84
Step-by-step explanation:
circumference=c
diameter=d
radius=r
area=b
d=2r
6=2r
6=r
2
r=3
b=πr^2
b=3×3π
=9π
c=2πr
=2(3.14)3
= 3.14×6
=18.84
Use the ÷10 pattern to fill in blanks 400 and 0.4
Answer:
400÷10=0.4
stay safe and healthy
Referring to the figure, find the volume of the solid
shown. Round to the nearest whole number.
First find the area of the triangle using the formula 1/2 x base x height:
1/2 x 22 x 13 = 143 square cm
Now for volume multiply the area by the depth of the figure:
143 x 30 = 4,290 cubic cm
Answer:
780
Step-by-step explanation:
First use pythagorean theorem to find the triangle, then multiply by 30
How do I answer this?
Answer:
Step-by-step explanation:
43 + 39 + <1 = 180 Three angles make up a triangle of 180 degrees.
82 + <1 = 180 Subtract 82 from both sides
<1 = 98
<2 = <1 They are vertically opposite
<2 = 98
what is the following sum in simplest form? /8+3/2+/32
Answer:
C
Step-by-step explanation:
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride?
Answer:
$2.20
Explanation:
For every mile $0.20 is charged
The base fee is $2.00
If you travel 1 mile, you get charged $0.20 along with the base fee of $2.00
2.00 + 0.20 = 2.20
I need to know the answer to this question
Answer: c. y= 2x -3
Step-by-step explanation:
Slope Intercept Form: y= mx +b
m=slope
b= y intercept
the slope is 2 because the line "rises" 2 times and "runs" 1 time
rise/run
2/1
m=2
the y intercept is where the line crosses the (vertical) y-axis
on this graph the line crosses at (0,-3), therefore
b= -3
plug into Slope Intercept Form:
y= mx +b
y= 2x-3
If the statement if I'm hungry, then I am not happy is assumed to be true is it's inverse of I am not hungry then I must be happy also always true
Answer:
yes!
Step-by-step explanation:
"i am not happy when hungry" is the inverse of "i am not hungry, i am happy."
Answer:
No
Step-by-step explanation:
Critical Thinking Point M is the midpoint of AB. The coordinates of point A are
(-8, 3) and the coordinates of Mare (–2, 1). What are the coordinates of point B?
Answer:-1,4
Step-by-step explanation:
a trapezoid is shown in the grid
Answer:
To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.
What is the answer for all of them
2/3-5/6what is 2 / 3 - 5 / 6
Answer:
[tex] \frac{ - 1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} [/tex]
[tex] = \frac{ - 1}{6} [/tex] ✅
Find the missing value.
Hint: Use the number line to find the missing value.
-4=
-9
-15
-10
-5
0
5
10
15
Stuck? Review related articles/videos or use a hint.
Find the present balance.
Below is Elizabeth Hallett's bank statement. Her previous balance was $271.31 What is her present balance?
[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]
[tex]\\ \rm\longmapsto 231.80+345.85[/tex]
[tex]\\ \rm\longmapsto 577.65[/tex]
Debited amount:-[tex]\\ \rm\longmapsto 25.85+2.00[/tex]
[tex]\\ \rm\longmapsto 27.85[/tex]
Checked amount:-[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]
[tex]\\ \rm\longmapsto 117+19.45[/tex]
[tex]\\ \rm\longmapsto 136.45[/tex]
Total change in balance[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]
[tex]\\ \rm\longmapsto 577.65-191.3[/tex]
[tex]\\ \rm\longmapsto 386.35[/tex]
Now
Current balance[tex]\\ \rm\longmapsto 386.35+271.31[/tex]
[tex]\\ \rm\longmapsto\$ 657.66[/tex]