Answers
Hello!
[tex]\large\boxed{x^{4}}[/tex]
Recall that:
[tex]\sqrt[z]{x^{y} }[/tex] is equal to [tex]x^{\frac{y}{z} }[/tex]. Therefore:
[tex]\sqrt[3]{x^{2} } = x^{\frac{2}{3} }[/tex]
There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:
[tex](x^{\frac{2}{3} })^{6} = x^{\frac{2}{3}* 6 } = x^{\frac{12}{3} } = x^{4}[/tex]
Related Questions
3 power 4 x 9 power 2
Answers
Answer:
3⁴×9²
81×81
6561...............
Your school wants to test the fire alarm system during the two hour period between 9:00 a.M. And 11:00 a.M. The probability of testing the fire alarm during this period is uniformly distributed that is X∼U(0,120). Find the probability that you have to wait more than 30 minutes, that is, find P(X>30).
Answers
Answer:
The probability is [tex]P(X>30)=0.75[/tex]
Step-by-step explanation:
We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].
We need to find [tex]P(X>30)[/tex]
Given a continuous random variable [tex]X[/tex] with distribution :
[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers
The probability density function is :
[tex]f_{X}(x)=\frac{1}{b-a}[/tex] if x ∈ (a,b)
[tex]f_{X}(x)=0[/tex] if x ∉ (a,b)
In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :
[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)
[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)
If we want to find [tex]P(X>30)[/tex] we need to perform the integral
[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]
Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞
Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.
If we perform this integral ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]
Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]
y = 5x² + 3x
(Find the axis of symmetry and the vertex of the graph of the function)
Answers
Answer:
y = 5x² + 3x
(5x) x (5x) = 25x
y = 25x + 3x
25x + 3x = 28x
y =/= 28x
( =/= ) <---- is supposed to be the non equal sign
The mean undergraduate cost for tuition, room, board and fees for four-year colleges in the United States was found to be $26,489, with a standard deviation of $3204. If 36 of the four-year colleges are randomly sampled, find the probability that the mean cost for the sample schools is:
Answers
Answer:
0.1787
Step-by-step explanation:
It is given that the mean cost of undergraduate program for a four year institutions for tuition, rooms fees and board was =$26,489
And the minimum standard deviation is given as σ = $ 3204
So, the mean normal deviation is , μ = 26,489
and the standard deviation is, σ = 3204
Thus, the probability of the mean cost for sample schools is 0.1787
A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.
Answers
Answer:
41 inches
Step-by-step explanation:
The formula for Area of a rectangle is ;
A = L × W
L = Length
W = Width
A rectangle has a length of 31 inches less than 3 times its width.
L = 3W - 31
If the area of the rectangle is 984 square inches, find the length of the rectangle
Hence,
984 = (3W - 31) × W
984 = 3W² - 31W
Hence
3W² - 31W - 984
3W(W - 24) + 4(W - 24) = 0
(3W + 41)(W - 24) = 0
W - 24 = 0
W = 24 inches
We have to find the Length
L = 3W - 31
L = 3(24) - 31
L = 72 - 31
L = 41 inches
The Length = 41 inches
The Length of the rectangle is 41 inches
Factor the polynomial completely
[tex]x {}^{2} + 2x - 63[/tex]
Answers
Explanation :
Which of these statements are correct? Select TWO that apply.
Answers
Answer:
3 and 1
Step-by-step explanation:
Answer:
last one and third to last one
Step-by-step explanation:
just trust me mate
Some of Amber's daily activities are listed here. Use these descriptions to select the word or symbol that correctly completes each sentence. • Amber spends 3/16 of each day doing homework. • Amber spends 0.25 of each day at school. • Amber spends 1/3 of each day sleeping. (A) 3/16 of a day 0.25 of a day (B) 0.25 of a day 1/3 of a day (C) Amber spends time doing homework than she does at school. (D) Amber spends time sleeping than she does at school.
Answers
Answer: (D) Amber spends time sleeping than she does at school.
Step-by-step explanation:
Given that :
• Amber spends 3/16 of each day doing homework.
• Amber spends 0.25 of each day at school.
• Amber spends 1/3 of each day sleeping.
Hence,
Amber spends 0.1875 of a day doing homework, which is (0.1875 * 24) = 4.5 hours
0.25 of each day at school ; (0.25 * 24) = 6 hours
1/3 of each day sleeping ; (1/3 * 24) = 8 hours
Time spent sleeping = 8 hours
Time spent in school = 6 hours
Apply the distributive property to create an equivalent expression.
(10x+20y+10z)
Answers
Answer:
I think the answer is 40.
Step-by-step explanation:
The distance from Houston to
Galveston is about 50 miles. If there are
1.6 kilometers in a mile, what is the
distance from Houston to Galveston in
kilometers?
Answers
Answer:
distance from Houston to Galveston in kilometers will be: 80km
Step-by-step explanation:
Given
The distance from Houston to Galveston is about 50 miles.
i.e.
Kilometers in 1 Mile = 1.6 km
As the distance from Houston to Galveston is about 50 miles, so
The distance from Houston to Galveston in kilometers will be:
50(1.6) = 80 ∵ Kilometers in 1 Mile = 1.6 km
Therefore,
The distance from Houston to Galveston in kilometers will be: 80km
The area of a rectangular park is same as area of a square park. If the length
of the rectangular park is 24.5 m and the side length of the square park is 14m,
find the breadth of the rectangular park?
Answers
Answer:
8mStep-by-step explanation:
Step one:
given data
length of rectangle= 24.5m
let the width be x
width of square= 14m
let the length be x
Step two:
we know that the area of a rectangle is
Ar= Length * width
Ar=24.5*x-----------1
Also, the area of the square is
As= Length * width
for square L=W
As= 14*14-----------------2
As=196m^2
equating 1 and 2 we have
14*14=24.5x
196=24.5x
divide both sides by 24.5
x=196/24.5
x=8m
The Breadth/width of the rectangular park is 8m
in the box of decorations there are a number of four bubbles all of them are blue except for six of them are green except for six of them are red except for 6 how many bubbles do I have in total
Answers
Answer:
Step-by-step explanation:
But y’all don’t know where Megan at
Pick A Random Number Between 1-40 if i pick your number and you get it right then you get brainliest.
Answers
Answer:
32
Step-by-step explanation:
the soloutions to the equation 2x^2 + x - 1 = 2 are x= -3/2 or x=___
Answers
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
Subtracting 2 puts the equation in standard form:
2x^2 +x -3 = 0
The product of the solutions is the ratio of the constant term to the leading coefficient: -3/2.
For solutions -3/2 and 'p', we have ...
-3/2p = -3/2
p = 1
The other solution is x = 1.
Hector's family went to the beach. They got to the beach at 11:00 A.M. and swam in the ocean for 1 hour. Then they built sandcastles for 1 hour and 30 minutes and played volleyball for 1 hour before heading home. What time was it when Hector's family left the beach?
Answers
Answer:
They left the beach at 2:30
Step-by-step explanation:
"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.
Answers
Answer:
-3=9/5c +32
-3*5c=9/5c*5c+32*5c
-15c=9+160c
-15c -160c =9
c(-15-160)=9
c(-15-160)/(-15-160)=9/(-15-160)
c=9/(-15-160)
what is 100 divided by 3?
A. Thirty three point 3
B. 33.3
C. 33.3333333333333333333
D. 4
E. ???
Answers
Answer:
C 33.3333333333
Step-by-step explanation:
Answer: dude it’s c
Step-by-step explanation: 33 1/3 = 33.3333333333333
what are the statements and reasons?
Answers
Answer:
A statement is an equation or expression describing the geometrical shape. The reason is the reason for that statement, like "Definition of a straight angle."
Step-by-step explanation:
An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step. (5 points)
Answers
8x-20+15=11
add 20 both sides
8x+15=31
subtract 15 both sides
8x=16
divide both sides by the x (8)
x=2
PLEASE ANSWER ILL GIVE POINTS:
if the product (2x + 3)(x + k) is 2x^2 + 13x + 15, what is the value of k?
Answers
Answer: k = 5
(2x + 3)(x + k)
= 2x.x +2x.k + 3x + 3k
= 2x² + x(2k + 3) + 3k
because (2x + 3)(x + k) is 2x^2 + 13x + 15
=> 3k = 15
2k + 3 = 10
=> k = 5
Step-by-step explanation:
please help me! i will give brainliest!
Answers
Answer:
Step-by-step explanation:
Can somebody please help me answer this question?
Answers
Answer:
x = 60°
Step-by-step explanation:
Step 1:
Triangles = Equilateral Triangles Given
Step 2:
3x = 180 Equation
Step 3:
x = 180 ÷ 3 Divide
Answer:
x = 60°
Hope This Helps :)
Solve the equation algebraically
-|x+3|=-2
Answers
Answer: x=-1; x=-5
Step-by-step explanation:
1) [tex]-|x+3|=-2[/tex]
2)[tex]|x+3|=2[/tex]
3) [tex]x+3=2[/tex] or [tex]x+3=-2[/tex]
4) [tex]x=-1; x=-5[/tex]
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
120
Step-by-step explanation:
solve for x then substitute
Answer:
m<WTS = 9 degrees
Step-by-step explanation:
<WTS = <TRS + <TSR By exterior <'s
14x-6=7x-9+66 Substitute
7x=63 Algebra
x=9
[tex] \frac{2}{6} + \frac{1}{8} [/tex]
help please I forgot how to do this
Answers
Answer : 11/24
Help please tysm guys <3
Answers
Answer:
5 is less than or equal to 5/2x+5
Step-by-step explanation:
It is less than or equal to because the shaded part is below the line and the line is solid.
Mario ran 12 kilometers. One mile is approximately equal to 1.6 kilometers. How many miles did Mario run?
(I'm new, I don't know why it says High School)
Answers
Answer:
19.2
Step-by-step explanation:
12x1.6=19.2
Answer:
7.5 miles
Step-by-step explanation:
if one mile = about 1.6 km then you would take the 12 and divide it by 1.6 which will give u 7.5 miles
(also it says high school because of the grade you probably put in)
Given GK = XZ and GH = XY, which statement must be true? m∠G > m∠X m∠G < m∠X HG = XZ HK = YZ
Answers
Answer: B
m<G<m<x
Step-by-step explanation:
Just did it
Answer:
the second choice is correct B)m∠G < m∠X
Step-by-step explanation: got it right on edge 2020
y=4x+5 in point-slope form
Answers
Answer:
Step-by-step explanation:
Answer:
( 0, -1 ) and ( 1, -1 )
Step-by-step explanation:
I hope this helps you out!
PLZ Someone help
Find the measure of angles 3 and 4
Answers
Answer: 3 =92
4 = 88
Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88
Answer:
∠3=88 , ∠4=92
Step-by-step explanation:
∠4 + 42° + 46° = 180° (angle sum property of a triangle)
∠4 + 88° = 180°
∠4 = 180° - 88°
∠4 = 92
∠3 + ∠4 = 180° (linear pair)
∠3 + 92° = 180°
∠3 = 180° - 92°
∠3 = 88°