[tex]\sqrt{x^{10}} = x^5[/tex]
=====================================================
Explanation:
We simply take half of the exponent 10 to get 5. This applies to square roots only.
So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]
A more general rule is
[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]
If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.
Answer:
E
[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]
ILL GIVE BRAINLIEST
Answer:
[tex] \sin(x _{1} ) = \frac{1}{2} \\ \sin(x _{1} ) = \sin(30 ) \\ x_{1} = 30 \\ \cos(x _{1}) = \cos(30 ) \\ \cos(x _{1}) = \frac{ \sqrt{3} }{2} [/tex]
prove that (Cos A +cosB)^2+(SinA+sinB)^2=4cos^2(A-B/2)
Answer:
[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]
Hence proved .
Helpppppppp me plzzzzzzz
Answer:
Length of Line AC = 26 units
Step-by-step explanation:
Given:
Line AC = [3x + 1] + 8
Line BC = [x - 2] + 2
Find:
Length of Line AC
Computation:
Line AB ║ Line L
So,
Using Mid-Point theorem;
[3x + 1] / 8 = [x - 2] / 2
2[3x + 1] = 8[x - 2]
6x + 2 = 8x - 16
8x - 6x = 16 + 2
2x = 18
x = 9
So,
Line AC = [3x + 1] + 8
Line AC = [3(9) + 1] + 8
Line AC = [27 + 1] + 8
Line AC = 28 + 8
Length of Line AC = 26 units
QUICK GIVING BRAINLIEST TO CORRECT ANSWER
Answer:
Step-by-step explanation:
Top and bottom
Area = L*W
L = 4
W = 2
Area = 4 * 2 = 8
But there are two of them (2 * 8) 16
Left and right
Area = L * W
L = 3
W = 2
Area = 2 *3 = 6
But there are two of them 12
From back
L*W = 4*3
But there are two of them 24
Total 52
The diameter of a circle is 2 meters. What is the circles circumftance
Answer:
2π or 6.284 meters
Step-by-step explanation:
Circumference = πd
= 2π
WORTH 20 POINTS
Use the volume formula to find the volume of the prism.
A. 9 cubic units O
B. 18 cubic units
C. 4 cubic units O
D. 7 cubic units
9514 1404 393
Answer:
A. 9 cubic units
Step-by-step explanation:
We interpret the smudges in your attachment to be dimensions of 1 1/2, 4, and 1 1/2. The volume is the product of these.
V = LWH
V = (4)(1.5)(1.5) = 9 . . . . cubic units
The volume of the prism is 9 cubic units.
suppose 3 years ago Rose was 24 years older than her daughter at present Rose is 5 times as old as her daughter how old will be the daughter in three years time
Answer:
Let Rose be R
Let her daughter be D
"3" yrs ago.
Subtract 3 from their ages
Rose was then (R-3) yrs old.
Daughter ..........(D-3)yrs old
So 3yrs ago.... Rose was 24yrs older than D.
Meaning
R=24+D
Which 3yrs ago can be expressed as
(R-3)=24+(D-3)
R - 3 = 24 + D - 3
R - D=24-3 + 3
R-D=24--------1
Now
At present.
R is 5times as old as Daughter
Meaning R = 5D-------2
Substituting into eqn 1
R-D=24
5D-D=24
4D=24
D=6yrs
Substitute D=6 into any equation of choice to get R
R-D=24
R=24+D
R=24+6
R=30yrs
Now we have Roses's age to be 30yrs and Daughter's age to be 6yrs.
We're asked to find the daughter's age in 3yrs time...
Meaning ....D+3
=6+3 = 9yrs
DAUGHTER WOULD BE 9YRS OLD IN 3YRS TIME.
What is the fraction of 100 and 3,000
[tex]\huge \bf{Question:-}[/tex]
What is the fraction of 100 and 3,000.
[tex]\huge\bf{Answer:-}[/tex]
[tex] \bf{ \frac{100}{3000} } \: simplified \: to \: lowest \: term \: is : - [/tex]
[tex] \bf \pink{ \frac{1}{30}} [/tex]
For the following set of data, find the population standard deviation, to
the nearest thousandth.
45, 30, 35, 20, 21, 46, 16, 37
=====================================================
Explanation:
Before we can find the standard deviation, we need to find the sample mean which is xbar.
Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set
xbar = (sum of values)/n
xbar = (45+30+35+20+21+46+16+37)/8
xbar = 31.25
Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.
Example: x-xbar = 30-31.25 = -1.25 in row 2
From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5
---------------
The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375
This is the population variance. Apply the square root to get the population standard deviation
sqrt(variance) = sqrt(114.9375) = 10.7208908
which is approximate. This rounds to 10.721
---------------
Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.
divide k800. in the ratio of 5:3
Answer:
k500: k300
Step-by-step explanation:
5 parts :3 parts
there are 5+3=8 parts in total
800 divide by 8 parts = 100 in each part
k800 is 5:3 is k500: k300
6x-5
Step-by-step explanation:
4/5÷4/10
12×2 -64×-11,×+1
×3-×2+7×
___________
6x-5 answer
What number is shown on the number line
Answer:
Hey mate.....pls attach the pic..........
If the above cube is a container with an inside length of 25cm, how many
3.3.3
litres will it hold?
Answer:
Capacity of cube in liter = 15.625 liter
Step-by-step explanation:
Given:
Side of cube = 25 cm
Find:
Capacity of cube in liter
Computation:
Volume of cube = Side³
Volume of cube = 25³
Volume of cube = 15,625 cm³
We know that
1 cm³ = 0.001 liter
Capacity of cube in liter = Volume of cube in cubic cm x 0.001
So,
Capacity of cube in liter = 15,625 x 0.001
Capacity of cube in liter = 15.625 liter
Which is a chord of circle P?
Answer:
QR
Step-by-step explanation:
A chord is a line that joins two points on the outside of the circle
QR and KL are chords
HELP ASAP
I NEED HELP
Answer:
1;27
Step-by-step explanation:
The spread of a rumor in a town can be modeled as , where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor?
Answer:
the time is 16 days
Step-by-step explanation:
The computation of the time period is given below:
N = 500 √t
2000 = 500 √t
√t = 4
Now do the square on both the sides
SO,
t = 16
Hence, the time is 16 days
We simply applied the above method to determine the time period
What is m∠A?
Help plz
Answer:
66
Step-by-step explanation:
180 - 57-57
From your position at (0,0), you measure a vehicle at (8,5). The vehicle is driving an equal
amount both North and East away from you. After some time, you measure the vehicle's
position and notice that the angle the vehicle made with you has increased by 8 degrees. Let x
be the distance traveled away from you in both the North and the East direction. Solve for the
value of x.
a) X = 5.5
b) X = 10.6
c) X = 12
d) X = 7.6
Answer:
Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .
Step-by-step explanation:
i hope i help have a great day :))
(1.2 x 10^4)+(2.5 x 10^3)
Solve the following equation for x: 6( 4X +5) = 3( X +8) +3
Answer:
x= -1/7
Step-by-step explanation:
Chelsea is designing a window with different-shaped pieces of glass. The shapes she is using are listed below.
Hexagons
Rectangles
Squares
Trapezoids
Which of the shapes she is using can also be classified as a quadrilateral?
Answer:
rectangle, square and trapezoids can be classified as quadrilaterals
mark wants to fence 4 rectangular gardens with a length of 9 1/4 amd a width of 4 1/2 what is the total length of fenceing mark needs to surround all four gardens
Step-by-step explanation:
length of each rectangle= 9 1/14=127/14
breadth of each rectangle=5=4 1/2= 9/2
so perimeter of 1 rectangle= 2(l+r)
=2(127/14+ 9/2)
=2(127+63)/14
=2×190/14
=190/7
=27.14 feet
so total length of fencing= 4×27.14
=108.57 feet
hope you understand the solution and good luck!!
Help me please I am not sure about the answer
Answer:
(a)
[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]
(b)
[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]
(c)
[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]
(d)
[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]
−10x 2 +70x
factor the expression completely
Answer:
[tex]-10x^2 + 70 x = 10x(-x + 7)[/tex]
Explanation :
[tex]-10x^2 + 70x = -10\cdot x\cdot x + 7 \cdot 10 \cdot x[/tex]
'x' and '10' are common in the first and second term. so we take them outside the parenthesis and write the remaining terms inside.
That is, 10 x (-x + 7)
Give the exact value of the trigonometric function below:
sin (45)
firstable its not 45
its sin(-240)=sin(60)
sin(60)=√3/2
sin45=√2/2
Area of the circle 42 m round nearest hundred
Answer:
Using the formula
A
=
π
r
2
Solving for
r
r
=
A
π
=
42
π
≈
3.65637
When money loses some of its value over time, it is caused by
A. purchasing power
B. FICA
C. recalculating worth
D. inflation
Answer:
D: Inflation
money loses value over time because there may be new laws or regulations that will make the value change i think thats part of it but it is D
i need help ive been stuck on these questions
Find mEC.
5x - 27)
(2x - 5)
D
Answer:
Arc EC = 58°
Step-by-step explanation:
First, find the value of x.
m<D = ½(arc EC) => Inscribed Angles Theorem
Substitute
2x - 5 = ½(5x - 27)
Multiply both sides by 2
2(2x - 5) = 5x - 27
4x - 10 = 5x - 27
Collect like terms
4x - 5x = 10 - 27
-x = -17
Divide both sides by -1
x = 17
Find arc EC:
Arc EC = 5x - 27
Plug in the value of x
Arc EC = 5(17) - 27 = 85 - 27
Arc EC = 58°
need help will give brainiest
Answer:
1. Triangles HIJ and KML
2. Triangles RST and YXZ
3. Reflexive property and Congruent Property
Step-by-step explanation:
Step-by-step explanation:
for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence
The table represents data measuring the sound pressure level for noises with various sound pressures. If the sound pressure level is calculated based on the sound pressure, which regression equation models the data?
Answer: y=93.62logx + 19.81
Step-by-step explanation:
Answer:
d
Step-by-step explanation: