Answer:
You can also represent it as [tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{2})^{3} =2\\2^{\frac{1}{3} } =2[/tex]
just the red triangle use the Phytogram theorem please :(
Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}
Answer:
N = {13, 15, 17, 19} is the correct answer.
Step-by-step explanation:
We are given with the following details:
N is the set of odd natural numbers.
N contains the elements which are greater than 11 and less than 21.
To write: The set notation for the elements of set N.
Solution:
First of all, let us see what are odd natural numbers.
Natural numbers are the positive integers i.e. {1,2,3,4, ........ }
Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}
Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.
So the answer will be N = {13,15,17,19}.
Q 1. The area of a certain rectangle is 1 m².What is the area of a triangle that was cut off from that rectangle along a line connecting the midpoints of two adjacent sides?
Answer:
0.125 m²
Step-by-step explanation:
The area of a rectangle is the product of its length and breadth. Therefore:
area of the rectangle = length (l) × breadth (b) = 1 m².
l × b = 1
A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.
Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]
since lb = 1:
Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear
functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice's race?
Answer:Antonio had a head start of 3 meters
Step-by-step explanation:I took the test
Answer: Option B
(B) Antonio had a head start of 3 meters.
Step-by-step explanation:
(2^8 • 5^negative5 • 19^0) • (5^negative2 / 2^3)^4 • 2^38
i need steps shown and a simplified answer please!
Answer:
6.872* 10^17
Step-by-step explanation:
(2^(8) * 5^(5) * 19^(0)) * ((5^(2))/(2^(3)) ) * 2^(38)
you add the exponent of the same number because it is multiplication
for number two 2 : 8+38=46
for division you subtract the exponents : 46-3=43
and for number 5 : 5+2=7
for 19^0=1
2^43*5^7=6.872*10^17
at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
About $5.33
Step-by-step explanation:
If u want to find out How many dollars per hour u do 48 divided by 9
Hope this helps
Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1
Answer:
n= 4725 /1024
Step-by-step explanation:
The sides of a polygon have lengths 5, 7, 8, 11, and 19 units. The perimeter of a similar polygon is 75 units. Find the lengths of the sides of the larger polygon
The perimeter of small polygon is 50 units. The length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.
What is polygon?
Polygon in geometry is "any closed curve consisting of set line segments connected such that two segment across".
According to the question,
Lengths of sides of polygon is 5 units, 7 units, 8 units, 11 units, and 19 units.
Formula for Polygon = sum of sides
Perimeter of first polygon = 5 + 7 + 8 + 11 +19
= 50 units.
Perimeter of second polygon = 75 units.
Divide second polygon by first polygon = 75/50 = 1.5 units
This conclude, second polygon is 1.5 units larger than first polygon.
In order to find the length of the sides of larger polygon by given, first polygon and second polygon are similar polygon multiply 1.5 units to the length sides of first Polygon.
5 * 1.5 = 7.5
7 * 1.5 = 10.5
8 * 1.5 = 12
11 * 1.5 = 16.5
19 * 1.5 = 28.5
Hence, the length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.
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Find the number missing from the following equivalent fractions:4/11= ?/66
Answer:
24
Step-by-step explanation:
whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.
If 11 is multiplied by 6 to give 66.
then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.
Hope this helps. Good Luck
The missing number is 24.
please see the attached picture for full solution
Hope this helps..
Good luck on your assignment..
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Step-by-step explanation:
A temperature falls from 0 to [tex]- 12\dfrac{1}{4}[/tex] in [tex]3\dfrac{1}{2} \ hours[/tex]
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is [tex]- 12\dfrac{1}{4}[/tex]
The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]
[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]
[tex]\Delta T = -12.25[/tex]
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]
x° = - 3.5
x° = [tex]- 3\dfrac{1}{2}[/tex]
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Answer:
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Step-by-step explanation:
A
what is the value of 2²+5²
Answer:
29
Step-by-step explanation:
2^2 + 5^2
PEMDAS
Exponents first
4+25
Then add
29
Jeremy jogged 75 yards from his house to school how many feet did Jeremy jog? Solve this problem any way you choose.
Answer:
1 yard = 3 ft
75 yards = 75 * 3
75*3 = 225
He ran 225 ft
If you need inches = 225*12
inches = 2700 inches
Answer:
225 feet
Step-by-step explanation:
3 feet equals 1 yard
? Feet equals 75 yards
75 times 3 equals 225 feet
the triangle bounded by the lines y = o, y = 2x
and y = -0.5x + k with k positive is equal to 80 square untits find k
Answer
k = 3.575.
Step-by-step explanation:
Write the following inequalities in slope interact form -12x-2y> -42
Answer:
y < -6x+21
Step-by-step explanation:
-12x-2y> -42
Add 12 x to each side
-12x+12x-2y>12x -42
-2y > 12x-42
Divide by -2 remembering to flip the inequality
-2y/-2 < 12x/-2 -42/-2
y < -6x+21
This is in slope intercept form
Which set of ordered pairs does not represent a function?
Answer:
it is the last one
Step-by-step explanation:
Since a function is based on a set of ordered pairs, where the first element in each pair is from the domain and the second is from the codomain. Also A function is a mapping from a set of inputs (the domain) to a set of possible outputs (the codomain).
The last one doesn't show the correct inputs and outputs
Jill converted the equation of the line 15 x minus 14 y = negative 2 into slope-intercept form and found the slope and y-intercept of the line as follows. 15 x minus 14 y = - 2. 15 x minus 4 y minus 15 x = - 2 minus 15 x. - 4 y = -2 minus 15 x. - 4 y Over - 4= - 2 minus 15 x Over - 4 Y = - 2 Over -4 minus 15 x Over - 4 . y = one-half minus 15 Over 4 x. y = - 15 Over 4x + one-half. slope = -15 Over 4. y-intercept = one-half. What was her mistake? She mixed up the slope and the y-intercept. She got the sign of the slope wrong. She got the sign of the y-intercept wrong. She found the reciprocals of the slope and the y-intercept.
Answer:
B. She got the sign of the slope wrong.
Step-by-step explanation:
This is the correct answer for edge
Answer:
B
Step-by-step explanation:
She got the sign of the slope wrong.
Please answer this correctly
Answer:
4:45p.m
Step-by-step explanation:
40+40+35
divide by 60
you round to get 1hour and 50min
add it to 3:05
Answer:
5:00 PM
Step-by-step explanation:
She got home at 3:05 PM
--> played video games for 40 mins --> 3:45 PM
--> cleaned the kitchen 40 mins --> 4:25 PM
--> Actuall HW 35 ins --> 5:00 PM
5:00 PM
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Answer:
The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequencesStep-by-step explanation:
Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.
If the sum of the first two term is 24, then a/r + a = 24...(1)
and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)
Substtituting equation 1 into 2 we have;
24+ar = 26
ar = 2
a = 2/r ...(3)
Substituting a = 2/r into equation 1 will give;
(2/r))/r+2/r = 24
2/r²+2/r = 24
(2+2r)/r² = 24
2+2r = 24r²
1+r = 12r²
12r²-r-1 = 0
12r²-4r+3r -1 = 0
4r(3r-1)+1(3r-1) = 0
(4r+1)(3r-1) = 0
r = -1/4 0r 1/3
Since a= 2/r then a = 2/(-1/4)or a = 2/(1/3)
a = -8 or 6
All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of a geometric sequence is expressed as
if r = -1/4 and a = -8
Tn = -8(-1/4)^(n-1)
if r = 1/3 and a = 6
Tn = 6(1/3)^(n-1)
The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms
Evaluate x ÷ y for x = 3 and y = 12. Your answer: A. 0.25 B. 4 C. 9 D. 36
Answer:
B or D
Step-by-step explanation:
best bet is B
Answer:4
Step-by-step explanation:
An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20
Answer:
d
Step-by-step explanation:
edge2020
Option D is correct. The exponential function is increasing when time goes and the total return on investment.
What is exponential function?An exponential function is of the form aˣ where 'a' is the base of the function and 'x' is the power of the function.
What is quadratic function?A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
According to the question,
Let 'x' is the time in years and f(x) is the total return on investment. The below table shows the function over the interval.
x f(x)
a decreasing quadratic function 10,000
an increasing quadratic function 12,201.90
a decreasing exponential function 14,888.64
an increasing exponential function 22,167.15
Quadratic function f(x) = ax² +b x +c a > 0
A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows as time in years change does not give maximum total return on investment.An increasing quadratic function the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows change in time in years does not give maximum total return on investment.Exponential function f(x) = a. bˣ +q
The exponential function is decreasing when a < 0 and 0 ≤ b < 1. Then the function f(x) is decreasing exponential function. Clearly it shows time goes, total return on investment is not maximum. The exponential function is increasing when a > 0 and b > 1. Then the function f(x) is increasing exponential function. Clearly it shows time goes, total return on investment is maximum.Hence, the exponential function is increasing when time goes and the total return on investment.
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What is the diameter of a circle with a radius of 9.5 cm ?
Answer:
9.5(2) = 19 is the diameter
Step-by-step explanation:
Answer:
19 cm
Step-by-step explanation:
Diameter is twice the radius, thus 2 x 9.5 cm = 19 cm
What is the solution to the linear system y=-5x-21 and y=7x+15
Answer:
(-3,-6)
Step-by-step explanation:
Compair, then solve for x=-3
then solve you should get y=-6
Answer:
(-3, -6).
Step-by-step explanation:
Since both expressions in x are equal to y:
-5x - 21 = 7x + 15
-12x = 36
x = -3.
Plug x = -3 into the first equation:
y = -5*-3 -21
= 15 - 21
y = -6.
y =
What is James average speed on his outward journey
Answer:
We wish to find his rate...
km per minute or km per hour:
His total time is: 15 + 5 + 20 = 40 minutes
His total distance is 2 km
Rate in km/minute: 2/40 = 1/20 = 0.05 km/minute
If you want km/hour then:
(0.05 km/minute)(60 minutes/hour) = 3 km/hour or kph
Step-by-step explanation:
James walks 1 km away from home in 15 minutes. He stops and rest for 5 minutes and then walks back home along the same path, but he spent 20 minutes to reach home.
Answer 5, 6 , and 7 by today please.
Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
There are only red counters and blue counters in a bag the ratio of the number of red counters to the number of blue counters is 4:6 write the ratio in the simplest form
Which is the equation in slope-intercept form of a line that contains points D and E?
Answer:
y=1x
Step-by-step explanation:
theirs no b because it goes through (0,0)
to find slope you do 2-4 over 2-4 and it equals 1
hope this helps:)
Help!
5 easy math questions (Order of Operations)
( 10+14 ) divided by ( 13-5 )
8 x 3 x (10+6)
(9 + 36 - 5) divided by 8
( 8-4 ) + 10 divided by 5
( 8+27 - 5) divided by 3
These are super easy but I cannot deal rn lol. Please do the solving steps as well. Merci!
Answer:
3
384
5
2.8
10
Step-by-step explanation:
--------------------------------------
10 + 14 = 24 | 13 - 5 = 8
24 divided by 8 = 3
--------------------------------------
8 x 3 = 24 | 10 + 6 = 16
24 x 16 = 384
--------------------------------------
9 + 36 = 45 | 45 - 5 = 40
40 divided by 8 = 5
--------------------------------------
8 - 4 = 4 | 4 + 10 = 14
14 divided by 5 = 2.8
--------------------------------------
8 + 27 = 35 | 35 - 5 = 30
30 divided by 3 = 10
--------------------------------------
Which equation represents a proportional relationship?
y = 5x + 2
y = 100 x
y = 16x2
y = 6x
Answer:
5x+2
Step-by-step explanation:
I think it is 5x+2
Calculate the surface area of each polyhedron. Pls!! Show work
Answer:
384 m^2
Step-by-step explanation:
Surface area of cube = area of 1 side x 6
area of 1 side, in this case = 64 m^2
so, total surface area = 64 x 6 = 384 m^2
Pat has 4 flowerpots, and she wants to plant a different type of flower in each one. There are 7 types of flowers available at the garden shop. In how many different ways can she choose the flowers?
Answer: 28
Step-by-step explanation:
times 4 and 7 seven and get your answer
the answer is 28:)
7x4=28