9514 1404 393
Answer:
16. k^5/j^3
18. 81y^20
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c) . . . . where b may be 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
___
We can simplify the given expressions as follows.
16.[tex]\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}[/tex]
__
18.[tex](x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}[/tex]
plz help
answer fast
irrelevant answers will be reported
Answer:
[tex]1+\sqrt{2}\\[/tex], [tex]1.5-\sqrt{2}[/tex], [tex]\sqrt{2} -1[/tex], [tex]\sqrt{2}-1 , 0.15+\pi /1000 , \sqrt{2} +0.001[/tex][tex]2.357+\pi /1000000[/tex][tex]0.0001+\pi /10000000[/tex] and I think you got it, just add to the smaller one [tex]\pi /10000000000000\\[/tex]
Step-by-step explanation:
not much to explain, it ןs irrational because [tex]\sqrt{2} and \pi[/tex] arent rattional.
The diagram shows a right angle triangle find the size of x give your answer to 1 decimal place
Answer:
34.9°
Step-by-step explanation:
SOH
CAH
TOA
SOH ... sin(x) = 8/14
arcsin(8/14) = 34.85°
Find the area of the rectangle whose dimensions are 5cm x 9cm.
Answer: 45
Step-by-step explanation: 9*5=45
Step-by-step explanation:
hope it helps you........
1. Describe the graph of the line x=5
Answer: a Line going up and down
Step-by-step explanation:
Answer:
See explanation below
Step-by-step explanation:
The line x = 5 would be vertical and lies on x = 5 within the x-axis.
which one ?
it says i need 20 characters so i’m just typing this
Consider the quadratic function:
f(x) = x2 – 8x – 9
Vertex: (StartFraction negative b Over 2 a EndFraction, f (StartFraction negative b Over 2 a))
Answer:
x=-b/2a=8/2=4
y=16-8*4-9=16-32-9= - 25
(4, - 25) ,,
A circle has a central angle of 6 rad that intersects an arc of length 14 inches. Which equation find the length of the radius, R, of the circle?
Answer:
Step-by-step explanation:
θ=l/r
where θ is central angle in degrees.
l=length of arc.
r=radius of circle.
6=14/r
6r=14
r=14/6=7/3 =2 1/3 inches.
Select all of the equations below that are equivalent to:
w + 13 = –8
Answer:
w= -21
Step-by-step explanation:
Find the value of x
Help please
Answer:
isnt it 41
Step-by-step explanation:
Answer:
x = 90°
Step-by-step explanation:
Since AC || BD
x + 90° = 180°
x = 180 - 90
x = 90°
Marking brainliest
I’m getting a belly piercing soon and this guy asked this question but I’m not sure what he means? Someone help
Answer:
Say I want a
Step-by-step explanation:
Ask what do you mean
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 5 cm
5 cm
LSA = [ ? ] cm2
Enter
Answer:
[tex]A=157.07\ cm^2[/tex]
Step-by-step explanation:
Given that,
The radius of a cylinder, r = 5 cm
Height of the cylinder, h = 5 cm
We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of the cylinder is given by :
[tex]A=2\pi r h[/tex]
Put all the values,
[tex]A=2\pi\times 5\times 5\\\\=157.07\ cm^2[/tex]
So, the lateral surface area of the cylinder is [tex]157.07\ cm^2[/tex].
Proportional relationships between x and y help anyone
Answer:
The table on the right, the green table, is the one that shows a proportional relationship
Step-by-step explanation:
Find each measure
Please help me
Answer:
1. m∠CGB=120
3. m∠AGD=90
5. m∠CGD=150
2. m∠BGE=60
4. m∠DGE=30
6. m∠AGE=120
Step-by-step explanation:
Sorry that they are out of order.
Answer:
1. m∠CGB=120°
2.m∠BGE=60°
3.m∠AGD=90°
4.m∠DGE=30°
5.m∠CGD=150°
6.m∠AGE=120°
Step-by-step explanation:
My work is scatterbrained so I'm not gonna be any help if I give an explanation.
Meena has ₹600 in the form of notes of ₹10 and ₹20 denomination. Number of ₹10 notes is three times the number of ₹20 notes. Find the number of notes of each denomination.
Answer:
Meena has twelve (12) ₹20 notes and thirty six (36) ₹10 notes
Step-by-step explanation:
The amount Meena has as notes in ₹10 and ₹20 denominations = ₹600
The number of ₹10 notes = 3 × The number of ₹20 notes
Let 'x' represent the number of ₹20 notes Meena has, we get;
The number of ₹10 notes = 3 × x
The total number of notes = x × 20 + 3·x × 10 = 50·x = ₹600
∴ 600/50 = 12
The number of the ₹20 notes, x = 12
The number of the ₹10 = 3 × x
∴ The number of the ₹10 = 3 × 12 = 36
The graph of y=x^3+x^2-6x is shown....
hello,
" a turning point is defined as the point where a graph changes from either increasing to decreasing, or decreasing to increasing"
a)
[tex]y=x^3+x^2-6x\\\\y'=3x^2+2x-6=0\\x=\dfrac{-2-\sqrt{76} }{6} \approx{-1.786299647...}\\or\\x=\dfrac{-2+\sqrt{76} }{6} \approx{1.1196329...}\\[/tex]
b)
Zeros are -3,0,2.
Sol={-3,0,2}
The solution of the graph function y=x³+x²-6x are -3 , 0 and 2
What is graph?The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of certain points and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph.
We have the function
y=x³+x²-6x
now, equating it to 0
x³+x²-6x = 0
x² + x - 6= 0
x² - 3x + 2x -6 =0
x(x -3) + 2(x -3)
x= 3 and -2
Now, ew can see from the that the equation is touching the x-axis at three points and it will represent three zeroes of the equation.
So, the solution of the graph are -3 , 0 and 2
Learn more about graph here:
https://brainly.com/question/17267403
#SPJ2
On evaluating the expression 10(x - 20y) + 100x, the answer will be
Answer:
110x -200y
Step-by-step explanation:
10(x - 20y) + 100x
Distribute
10x-200y +100x
Combine like terms
110x -200y
Answer:
110x−200y
Step-by-Step Explanation:
Given:
10(x−20y)+100x
First Step: Distribute
(10)(x)+(10)(−20y)+100x
10x+−200y+100x
Second Step: Combine Like Terms:
10x+−200y+100x
(10x+100x)+(−200y)
110x+−200y
Answer:
=110x−200y
Find the measures of angles x,y and z in the figure. Show your work!!
WILL GIVE BRAINLIEST!!!
Answer:
x = 106°
y = 106°
z = 106°
Step-by-step explanation:
Find x:
Angle on straight line = 180°
[tex]74+x=180[/tex]
[tex]x=180-74[/tex]
x = 106°
Find y:
Angle y and x are corresponding angle which means x and y will be same
y = 106°
Find z:
Angle y and z are equal because, opposite angles are always equal.
z = 106°
hope this helps......
Answer:
x = 106°
y = 106°
z = 106°
Step-by-step explanation:
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application
Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2
Answer:
x = 6 units
Step-by-step explanation:
For θ = 30°, Perpendicular is 3. Hypotenuse is x.
We can use trigonometry to find x.
[tex]\sin(30)=\dfrac{P}{H}[/tex]
[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]
So, the value of x is equal to 6 units.
helppppp plzzzzzzz steppsss iff posiblleeee, will mark brailest!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
54
Step-by-step explanation:
126+x=180
x=180-126=54
x=54
Solvex - 7x - 34 = 10 halo pls helppppppp
Answer:
x-7x-34=10
-6x-34=10
Step-by-step explanation:
x=-22/3
(d) X(-12) = 132
help me with equations
[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x \: ( - 12 )= 132[/tex]
[tex]↬ \: x = \frac{132}{ - 12} [/tex]
[tex]↬x = - 11[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x \: ( - 12) = 132[/tex]
[tex]➺ \: - 11 \: ( - 12) = 132[/tex]
[tex]➺ \: 132 = 132[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Step-by-step explanation:
x(-12) = 132
To find the value of 'x' , divide both sides of the equation by (-12)
[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]
4 times the square of a non-zero number is equal to 12 times the number.
what is the number?
Answer: 3
Step-by-step explanation:
Let the number be x.
4*(x squared) = 12x
Divide both sides by 4,
X squared = 3x,
divide both sides by x,
X=3
Express 600g as a ratio of 1kg
please show working.
3:5
Step-by-step explanation:
change the kilogram into gram and then divide it
Answer:
3 : 5
Step-by-step explanation:
The quantities must have the same units
1 Kg = 1000 g , then
600 : 1000 ( divide both parts by 200 )
= 3 : 5 ← in simplest form
you have some marbles. when you make a shape of an equilateral triangle, you either have 5 extra, or you need 10 more to complete the shape, how many marbles do you have? how long is one side of your triangle?
I'm giving brainliest to correct answer!
Answer:
110 marbles
side 14
Step-by-step explanation:
Draw triangles using marbles as the sides.
If the side is 2 marbles long, the triangle uses 3 marbles. 1 + 2 = 3
If the side is 3 marbles long, the triangle uses 6 marbles. 1 + 2 + 3 = 6
If the side is 4 marbles long, the triangle uses 10 marbles. 1 + 2 + 3 + 4 = 10
If the side is n marbles long, the triangle uses n(n + 1)/2 marbles.
These numbers are called triangular numbers.
We are looking for the side, n.
n(n + 1)/2 + 5 = (n + 1)(n + 2)/2 - 10
n^2 + n + 10 = n^2 + 3n + 2 - 20
n + 10 = 3n - 18
-n = -14
n = 14
For n = 14
n(n + 1)/2 =
= 14(15)/2
= 105
For n = 15
n(n + 1)/2 =
= 15(16)/2
= 120
105 + 5 = 120 - 10
You have 110 marbles. If you had 5 fewer, 105, you'd have a triangle with sides 14. If you had 10 more, 120, you'd have a triangle with sides 15. Since you have 110, you have 5 too many for side 14 and 10 too few for side 15.
The sides of the triangle is 14.
Please help me I don’t understand I have been working on this question for 14 minutes!!!m
Answer:
<A = <B
=> 8x - 8 = 5x + 25
<=> 3x = 33
<=> x = 11
with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰
Answer:
x=11
B=80
Step-by-step explanation:
8x-8=5x+25
3x=33
x=11
B=5(11)+25
B=80
Find the nature of roots for equation 2x square -root5x -2 =0
Pls help me fast
Answer:
roots are real and distinct
Step-by-step explanation:
To determine the nature of the roots use the discriminant , b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then roots are not real
Given
2x² - [tex]\sqrt{5}[/tex] x - 2 = 0
with a = 2, b = - [tex]\sqrt{5}[/tex] , c = - 2 , then
b² - 4ac
= (- [tex]\sqrt{5}[/tex] )² - ( 4 × 2 × - 2)
= 5 - (- 16)
= 5 + 16
= 21
Since b² - 4ac > 0 then the equation has 2 real and distinct roots
Tamisha's shampoo bottle holds 1/2 bottle of shampoo.She used 5/6 of the bottle.How many gallons of shampoo has Tamisha used?
Answer:
5/12
Step-by-step explanation:
1/2 x 5/6 = 5/12
please tel me answer of under root 3+4i
without calculatot with steps
Hello,
[tex]Let's\ say \\\\z=\sqrt{3+4*i} =a+b*i\\\\z^2=3+4*i=(a+b*i)^2=a^2-b^2+2i*a*b\\\\\\if \ a\neq 0\\\left\{\begin{array}{ccc}a^2+b^2&=&3\\2ab=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b=\dfrac{2}{a}\\a^2-(\dfrac{2}{a})^2=2\\\end{array}\right.\\\\\\a^4-4=3*a^2\\a^4-3a^2-4=0\\\\\Delta=(-3)^2-4*1*(-4)=25=5^2\\\\a^2=4\ or \ a^2=-1 (impossible)\\\\So:\\(a=2\ and\ b=1)\ or\ (a=-2\ and\ b=-1)\\[/tex]
Roots are thus 2+i and -2-i
There is an other using a geometrical formula (formule de Moivre)
Find the intercepts of the function f(x)=4x+8
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
2
,
0
)
y-intercept(s):
(
0
,
−
8
)