Answers
Answer:
x^ \frac{m}{n} = \sqrt[n]{x^m}x
n
m
=
n
x
m
and
(x^m)^n=x^{mn}(x
m
)
n
=x
mn
so
x^ \frac{3}{5} = \sqrt[5]{4^3}x
5
3
=
5
4
3
but wait, there's more
4=2², so
x^ \frac{3}{5} = \sqrt[5]{4^3} = \sqrt[5]{(2^2)^3} = \sqrt[5]{2^6}x
5
3
=
5
4
3
=
5
(2
2
)
3
=
5
2
6
=
2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}2
5
6
=(2
5
5
)(2
5
1
)=2
5
2
also, 4^3=64
Related Questions
Who ever Answers first gets a good review
Answers
Answer:
Do we do all of them???
Step-by-step explanation:
In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?
Answers
Explanation:
ratio is 2:3
let’s say red roses are 2x and white roses are 3x.
The total number of roses is 20, then, to find the number of red roses, write:
2x+3x= 20
5x=20
x=4
red roses are 2x
x=4,
hence, put 4 instead of x, and you will get 2*4= 8
Hope it helps!!!
If it does, then give click the brainliest button! thanks in advance!
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answers
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
What is the slope? What does it represent?
Answers
Given:
X=number of hours
Y=number of tents made
Table of value.
To find:
The slope and its interpretation.
Solution:
Consider any two points from the table, i.e., (0,6) and (1,7).
The slope is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-6}{1-0}[/tex]
[tex]m=\dfrac{1}{1}[/tex]
[tex]m=1[/tex]
Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.
The radius of a circle is 10 centimeters. What is the length of a 45° arc?
Answers
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table. A survey participant is randomly selected. Let S be the event that the participant's first motor vehicle had six cylinders and let T be the event that the participant's first motor vehicle was a truck. What is the value of P(S and T)? Motor Vehicle Car Truck SUV O 0.06 Four 118 6 18 O 0.12 Cylinders Six 16 12 20 O 0.24 Eight 2. 6 CO 2 O 0.30
ONLY ANSWER WITH SERIOUS ANSWERS I WILL DELETE AND REPORT 30 PTS
Answers
Answer:
.06
Step-by-step explanation:
edg
Answer:
.06
Step-by-step explanation:
test on edg e
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answers
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!
There are 18 football teams in a league,
Each team plays two matches against each of the other teams,
Work out the total number of matches played,
Answers
Answer:
306
Step-by-step explanation:
18x17=306
The total number of matches played by the teams will be given by using permutation is 306.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
There are 18 football teams in a league.
Each team plays two matches against each of the other teams.
Then the total number of matches played by the teams will be given by the permutation.
[tex]^{n}P_r = \dfrac{n!}{(n-r)!}[/tex]
We have
n = 18
r = 2
Then
[tex]\rm ^{18}P_2 = \dfrac{18!}{(18-2)!}\\\\\\^{18}P_2 = \dfrac{18!}{16!}\\\\\\^{18}P_2 = \dfrac{18 *17*16!}{16!}\\\\\\^{18}P_2 = 18*17\\\\\\^{18}P_2 = 306[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
Plz help! Will give Brainliest!!!
Answers
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answers
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
How is the area of a polygon defined?
Answers
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3
Answer:
The surface of the polygon is the total space or area that is limited by the borders of the polygon.
Step-by-step explanation:
This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.
Alexandra spends 1/3 of her daysleeping and 3/8 of her day at work. What fraction of Alexandra’s day is occupied by sleep or work?
Answers
Answer:
17/24
Step-by-step explanation:
Change the denominators to match
8/24 + 9/24 = 17/24
Check all of the ordered pairs that satisfy the equation below.
A.
(21, )
B.
(7, 14)
C.
(21, 14)
D.
(42, 28)
E.
(14, 21)
F.
(28, 42)
Answers
Answer:
what is the y-coordinate for A?
Step-by-step explanation:
How do I simplify 25.3(2.4)
Answers
Answer:
60.72
Step-by-step explanation:
you multiply 25.3 by 2.4
What is the equation of the line that passes through the points (-3, -2) and (1, 6)?
Answers
Answer:
y = 2x +4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~
(1, 6)
(- 3, - 2)
m = 2
y - 6 = 2 ( x - 1 ) <------ ( point-slope form )
y = 2x + 4 <------- ( slope-intercept form )
2x - y = - 4 <------ ( standard form )
hey um, so i’m learning ab percentages in my math class so can someone please explain to me how to solve percent problems if that’s ok? thank you.
Answers
Answer:
It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.
Hope this helps! But this would be easier to explain with an example
If the roots of the equation
lx²+nx+n=o is in the ratio p:q
then
√(p/q) + √(q/p)=?
Answers
Step-by-step explanation:
Let the given ratio be pk : qk .
So , here the quadratic equation is lx² + nx + n = 0. With respect to Standard form ax² + bx + c = 0.
We have ,
a = lb = nc = n→ Sum of roots = -b/a = -n/l = qk + pk
→ Product of roots = c/a = n/l = k²pq .
[tex]=> \dfrac{n}{l} = \dfrac{k^2}{pq} \\\\=> k^2 =\dfrac{n}{pql} [/tex]
And here pk and qk is a root of the quadratic equation ,
[tex]=> lx^2 + nx + n = 0 \\\\=> l(pk)^2 + n(pk) + n = 0\\\\=> lp^2k^2+npk + n = 0 \\\\=> lp^2\bigg( \dfrac{n}{pql} \bigg) + np\bigg(\sqrt{\dfrac{n}{pql}} \bigg) + n = 0 \\\\ => n\bigg\{\dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1\bigg\} = 0 \\\\=> \dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1 =0\\\\=>\sqrt{\dfrac{p}{q}} \bigg( \dfrac{q}{p}+\sqrt{\dfrac{np}{lq}}+1\bigg) = 0 \\\\=> \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}}+ \sqrt{\dfrac{n}{l}}=0 \\\\\boxed{\red{\bf\longmapsto \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}} = - \sqrt{\dfrac{n}{l}}}} [/tex]
Convert:
5 m = ________mm
Answers
Answer:
5m = 5000 mm
Step-by-step explanation:
Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?
Answers
Answer:
She has 20 items on the list
Step-by-step explanation:
Answer:
if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.
What is the magnitude of -5.8
Answers
please friend complete your answer
There are 12 basketball players on the team. In order to complete the main composition of the team for the
game, the coach can choose any 5 players from the team. How many different combinations of the main
compositions the coach can complete?
I get 792 but why is the answer 7.92. Kinda don't understand.
Answers
Step-by-step explanation:
We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.
We will use combinations formula to solve our given problem. , where,
n = Number of total items,
r = Number of items being chosen at a time.
Upon substituting our given values in combinations formula we will get,
Therefore, the coach can choose from 792 combinations
Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answers
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
need help with this please!!
Answers
Answer:
a 1/4 cuz perpendicular m × m original line is -1
At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards
Check comments for multiple choice answers
Answers
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
[tex]v=t^2-5t+4 ,\, t\geq0[/tex]
Is the velocity is positive (v>0), then our object will be moving forwards.
And if the velocity is negative (v<0), then our object will be moving backwards.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
[tex]v<0[/tex]
By substitution:
[tex]t^2-5t+4<0[/tex]
Solve. To do so, we can first solve for t and then test values. By factoring:
[tex](t-4)(t-1)=0[/tex]
Zero Product Property:
[tex]t=1, \text{ and } t=4[/tex]
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]
So, the (only) interval for which v is <0 is the second interval: 1<t<4.
Hence, our answer is A.
need the answer thank you
Answers
Answer:
Part A: 24
Part B: 256
Step-by-step explanation:
Part A
Without Repetition means that once you use a number out of the given four, it can't be used again.
So the first number can be chosen 4 different ways.The second number can be used 3 different ways.The third number can be chosen 2 different waysAnd the last number has only 1 way to be chosen.Answer: 4*3*2* 1 = 24
Part B
Part B allows repetition. That means that the numbers can be used as many as 4 times.
Answer: 4*4*4*4 = 256
what is the slope in the equations: y = 4x + 3
Answers
Answer:
4
Step-by-step explanation:
y = mx + b
m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope
please solve:
2(X+3)=8-3(x-4)
x-3(x-2)=3(2-x)
question from equation and inequality.
Answers
Answer:
i) x = 2.8
ii) x = 2
Evaluate the expressions
4x+(-2), when x=3
Show your work here
Answers
Answer:
10
Step-by-step explanation:
PEMDAS MATH
what is 9/10 ÷ 3/5 will give brainlist
Answers
Answer:1.5
Step-by-step explanation:
19) Albert says that the two systems of equations shown have the same solutions.
FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined
Answers
Answer:
option A) Agree, because the solutions are the same is correct.
Step-by-step explanation:
FIRST SYSTEM
[tex]6x + y= 2[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]
[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]
adding the equation
[tex]-6x-6y=-18[/tex]
[tex]+[/tex]
[tex]\underline{6x+y=2}[/tex]
[tex]-5y=-16[/tex]
so the system becomes
[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]6x+\frac{16}{5}=2[/tex]
subtract 16/5 from both sides
[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]
[tex]6x=-\frac{6}{5}[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the FIRST SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
SECOND SYSTEM
[tex]2x-3y = -10[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]
[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]
[tex]-2x-2y=-6[/tex]
[tex]+[/tex]
[tex]\underline{2x-3y=-10}[/tex]
[tex]-5y=-16[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
Simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]2x-3\cdot \frac{16}{5}=-10[/tex]
[tex]2x=-\frac{2}{5}[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]
Simplify
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the SECOND SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
Conclusion:
As both systems of equations have the same solution.
Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.
Hence, option A) Agree, because the solutions are the same is correct.