Answer:
Rational.
Step-by-step explanation:
2/18=0.1 repeating.
3/3 = 1
Multiplying these together get you 0.1 repeating.
There is only one rule that makes a number irrational.
This is a number that is not divisiable by two integers, and is not capable of being expressed as a fraction.
0.1, as we know, can be written as 2/18, or 1/9.
So it must be a rational number.
Something you may not know - Rational numbers CAN be infinitly repeating numbers.
For instance, 0.111 like shown above is repeating, and its rational.
However, pi is a repeating number...but its irrational.
This is not because its infinitly repeating, this is actually becuase it is not divisiable by two numbers, and cannot be put into fraction form.
Some people think infinitly repeating numbers are irrational, however this is not correct, for some fractions are actually repeating.
Hope this helps!
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
says hint: divide, i dunno
distance= rate * time
distance/rate=time
(2.4 *10^20)/ (1.2*10^5) = 2 * 10^15 seconds
Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable
expenditure. The capital of the two
partners together is given by polynomial 6x+10x -35, which is the product of
their individual share factors.
On the basis of the above information,
answer the following questions.
i) The total expenditure of Vicky and Love
when x = 10 is (in )
(a) 375 (b) 475
(c) 575 (d) 675
(ii) The shares of the Vicky and Love
individually is
(a) 2x +7, 3x -
5
(b) 3x -5, 2x +7
(c) Both (a) and (b)
(d) None of the above
(iii) The value of x, when their shares are
equal
(a) 12 (b) 10
(c) 8 (d) 6
(iv) The value of x, when their total share is
equal tob0
7
(a)- (b) 3
(c) Both (a) and (b) (d) None of these
(v) The sum of their expenditure is
(a) 5r -2 (b)5x+2 (c) 4x-2 (d) 4x+2
6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again. If the ball continues to rebound and fall in this manner, find the total distance the ball has travelled after it hits the ground the 5th time. This may be answered in decimal form. Round your answer to 2 decimal places.
Answer:
The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term and [tex]q[/tex] is the common ratio.
A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.
This means that:
[tex]q = 0.7, a_1 = 25*0.7 = 17.5[/tex]
Then
[tex]a_n = a_1q^{n-1}[/tex]
[tex]a_n = 17.5(0.7)^{n-1}[/tex]
First 5 terms:
[tex]a_1 = 17.5[/tex]
[tex]a_2 = 17.5(0.7)^{2-1} = 12.25[/tex]
[tex]a_3 = 17.5(0.7)^{3-1} = 8.58[/tex]
[tex]a_4 = 17.5(0.7)^{4-1} = 6[/tex]
[tex]a_5 = 17.5(0.7)^{5-1} = 4.2[/tex]
Find the total distance the ball has travelled after it hits the ground the 5th time.
[tex]T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53[/tex]
The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.
This is another one same thing but not the same problem
#1 is a. 11.25
#2 is h. 375
#3 is B 82.50
-7 2/3 + (-5 1/2) + 8 3/4
Answer:
the answer would be -1339/24
If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?
Answer:
Step-by-step explanation:
The standard form of a quadratic is
[tex]y=a(x-h)^2+k[/tex] where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
[tex]y=(x-(+10))^2[/tex] and simplified:
[tex]y=(x-10)^2[/tex] That is the parent graph shifted 10 units to the right.
The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h?
Answer:
52.24 km
Step-by-step explanation:
Given that,
The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.
d = ks²
Where
k is constant
When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?
So,
[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]
So, the new distance is 52.24 km.
I will try my best to love you math, but I will never succeed in math, I will just die in math.
Answer:
your will becanswer $95.00
Answer:
105
Step-by-step explanation:
Price of a fridge is $1050instalment time 10 months
so from 1050÷10
105 ans
please mark as brainliestramu swims a distance of 3 km each upstream and downstream. The total time taken is one hour. if the speed of the stream is 4km/h, then find the speed of ramu in still water.
(a) 12km/h
(b) 8km/h
(c) 9km/h
(d) 6km/h
please answer :)
Answer:
:5 or 6km per hour is your answer.
The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be?
Answer:
Break-even point is at quantity 220.
Step-by-step explanation:
Given the rent amount that is fixed cost for the store = $550
The average cost of the goods = $3
The average price of the goods = $5.50
Let the total number of break-even items = Q
Thus, total revenue = 5.50 x Q = 5.50Q
At break-even, TR = TC
5.50Q = FC + VC
5.50Q = 550 + 3Q
5.50Q - 3Q = 550
2.50Q = 550
Q = 550 / 2.50
Q = 220
Thus break-even point is at quantity 220.
4.2kg of oranges are £8.76. How much does 2kg cost
Answer:
x = 4.17
Step-by-step explanation:
We can use a ratio to solve
4.2 k 2 k
---------------- = ---------------
8.76 x
Using cross products
4.2 * x = 2 * 8.76
4.2x =17.52
Divide by 4.2
x=4.17
Answer:
2kg cost £4.18
Step-by-step explanation:
4.2 kg of oranges cost £8.76
:. 1 kg of orange cost £8.76/4.2 = £2.09
2kg cost 2 × £2.09 = £4.18
PLZZ HELP ME ITD MEAN THE WORLD
Answer: 33/3
Step-by-step explanation:
I don't know the question is weird but it probably is 33/3
si alguien me ayuda en esta doy coronita
Answer: yuh Step-by-step explanation: yuh
Answer:
11/8, 7/4, 8/2
someone reported me
A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey... -Goes up three feet -But, slips down two feet How long will it take the monkey to get to the top of the tree?
Answer:
58 Minute
Step-by-step explanation:
According to the Question,
Given, A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey Goes up three feet But, slips down two feet.Therefore, he climbs (3-2)1 Foot in 1 minute. Now at 57minute, he scales 57feet.
Now, at the 58th minute, he climbs 3 feet MoreThus 57 feet + 3 feet = 60feet( Reached the Top of the tree Now he Never Fall again)
the monkey will take total 58 minutes to get to the top of the tree.Please help!!
A diameter is 22 feet. What is the radius?
Answer:
11, take 22 and divide by 2 because radius is half
Step-by-step explanation:
hope this helps
Answer:
r = 11 ft
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 (d)
r= 1/2 (22)
r = 11 ft
In ΔBCD, the measure of ∠D=90°, BD = 13, DC = 84, and CB = 85. What is the value of the cosine of ∠C to the nearest hundredth?
Answer: 0.99
Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13
sin x =13x sin 90 divided by 85
sin x = 13divided by 85
sin x = .152941176
arc sine of .152941176= 8.79741071 degrees
cos 8.79741071 = .988235294
.99
There are 14 birds sitting on a wire. One-half of the birds are black. How many black birds are sitting on the wire?
Answer:
7
Step-by-step explanation:
There are 14 birds sitting on the wall
One half of the birds are black
Therefore the number of black birds can be calculated as follows
= 14×1/2
= 14×0.5
= 7
Hence 7 birds are black
pls help me solve pls show how you got the answer
Answer:
$348
Step-by-step explanation:
Unit rate:
Sales clerk: $12/h
Assistant manager: 1/2 x 12= $6/h
Manager: 2 1/2 x 12= $30/h
Now for how long they will work (7.25 hours long):
Sales clerk: 12 x 7.25= $87
Assistant manager: 6 x 7.25= $43.5
Manager: 30 x 7.25= $217.5
In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.
I hope this will help qwq
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×<3
Answer:
Where 0 < x < 3
The location of the local minimum, is (2, 0)
The location of the local maximum is at (0, 16)
Step-by-step explanation:
The given function is f(x) = (x + 2)⁴
The range of the minimum = 0 < x < 3
At a local minimum/maximum values, we have;
[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]
∴ (-x + 2)³ = 0
x = 2
[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]
When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2
We have, f(2) = (-2 + 2)⁴ = 0
The location of the local minimum, is (2, 0)
Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3
When x = 0, -x + 2 = 0 + 2 = 2
Similarly, we have;
-x + 2 = 1, when x = 1
-x + 2 = 0, when x = 2
-x + 2 = -1, when x = 3
Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16
The location of the local maximum is at (0, 16).
contruct triangle LMN with LM=6cm,MM=9cm and LN =5cm
Answer:
LNM are quations the answer
Step-by-step explanation:
L=5x3 5,8 M=9x8x3+40-9 N=23-90)+90
Please help me out for the question is it
A.275 centimeters
B.94 centimeters
C.144 centimeters
D.85 centimeters
You’ll be marked as brainliest
I think c because from what remember taking this test
A girl runs 2 km in 1 hour . How long will she take to ran 500 m ?
Answer:
1/4 he
Step-by-step explanation:
Answer:
1/4 hour
Step-by-step explanation:
convert 2 km to m
1 km = 1000m
2 km = 2*1000 m
=2000 m
distance time taken
2000 m 1 hour
500 m let be x
2000/500 = 1/x
do cross multiplication
500*1 = 2000*x
500/2000 = x
1/4 = x
Please help I’ll give brainliest
Answer:
81Step-by-step explanation:
3 exponent 4
[tex] = {3}^{4} [/tex]
= 3 × 3 × 3 × 3
= 81 (Ans)
Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79
Answer:
0.7
Step-by-step explanation:
7/9 = 0.7
Answer:
0.7 (with the repeating sign on the 7)
Step-by-step explanation:
how do i solve this
[tex] {x}^{6} [/tex]
Answer:
You did give anything to solve
Step-by-step explanation:
x⁶ is just a single term
If you had posted an equation like
x⁶ = 64
Take the cube root of both side
x² = 4
Take the square root of both sides
x = ± 2
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If he earns $5.00 per hour, how many hours did Anthony work?
Answer:
5 hours
divide 25 by 5 you get 5
which of the following is the equation of a line in slope-intercept form for a line with slope = 1/2 and y intercept at (0,-4)?
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] and c = - 4 , then
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of line
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Solution:-[tex]\sf{z = kxy}[/tex]
[tex]\sf\rightarrow{16=k(4)(6)}[/tex]
[tex]\sf\rightarrow{K= \frac{16}{24} }[/tex]
[tex]\sf\rightarrow{K={\color{magenta}{ \frac{2}{3} }}}[/tex]
Answer:-The equation of variation is,
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = \frac{2}{3} \: xy.}[/tex]
[tex]{\large{——————————————————}}[/tex]
#CarryOnMath⸙
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Answer:[tex]\large \rightarrow \bf {The \: answer \:is \: {\green{z = \frac{3}{2} \: xy}}}[/tex]
Which dot plot shows 3 students purchased 4 books at the book fair? A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 0 dots, 3 has 3 dots, 4 has 4 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 1 dot, 2 has 3 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.
Answer:
A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.
Step-by-step explanation:
The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).
