The expression [tex]x^{(5/4)[/tex] can be expressed in radical form as either (fourth root of[tex]x^5[/tex] or [tex](\sqrt{x} )^5.[/tex]
To express the expression "[tex]x^{(5/4)[/tex]" in radical form, we can rewrite it as the fourth root of x raised to the power of 5.
Let's break down the process step by step:
Step 1: Start with the exponent "5/4."
Step 2: Express the exponent as a fraction: 5/4.
Step 3: Rewrite the fraction as a radical expression by taking the denominator (4) as the index of the radical.
Step 4: Place the base (x) inside the radical.
Step 5: Raise the base to the power of the numerator (5) outside the radical.
Putting it all together, we have:
[tex]x^{(5/4)} = (fourth root of x)^5[/tex]
In radical form,[tex]x^{(5/4)}[/tex] can be written as the fifth power of the fourth root of x.
This representation emphasizes that we take the fourth root of x first and then raise it to the power of 5. The fourth root indicates that we are finding the value that, when raised to the fourth power, gives us x. The fifth power signifies that we are multiplying that value by itself five times.
Note that the fourth root can also be expressed using the radical symbol (√), so the radical form of [tex]x^{(5/4)[/tex]can be written as[tex](\sqrt{x} )^5.[/tex]
In conclusion, the expression [tex]x^{(5/4)[/tex] can be expressed in radical form as either (fourth root of x)^5 or [tex](\sqrt{x} )^5.[/tex]
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What is the factored form of this expression? 27n3+125n3
Answer:
27n³+125n³ = 152n³
5.337n)(5.337n)(5.337n)
Answer:
Step-by-step explanation: use math-way a chegg service
9) The area of the given rectangle is 40 square feet. Find the length and the width of the rectangle.
Length: x+1
Width: X + 4
Answer:
Step-by-step explanation:
hello : solve (x+1)(x+4)=40
x²+5x+4 =40
x²+5x-36 =0 continu us delta
My friends and I go to the cinema by bus.
We spend 10 minutes walking and 15
minutes waiting at the bus stops, the
Journeys take 20 minutes each way
we arrive as the film starts. There are
25 minutes of adverts and trailers,
and the film lasts for 95 minutes
We get home at 17:20
What time did we set off to
the car
Answer:
15:35??
Step-by-step explanation:
1. 20 + 15 = 35
2. 35 + 10= 45
3. 45 + 25 = 70 = 1 hour and 10 minutes
4. 95 mins = 1 hour and 45 minutes
5. 1 hour and 10 mins + 1 hour and 45 minutes = 2 hours and 55 minutes
6. 17:20
- 02:55
15:35
15:35
i don't know if this is right but it it does, your welcome.
Which fraction is less?
2/5 or 1/6
Answer:
1/6
Step-by-step explanation:
convert ti decimal then compare the two
Answer:
Hello There!!
Step-by-step explanation:
1/6 is less.You can check this by 2÷5=0.4 and 1÷6=0.1666666667 so 1/6 is less.
hope this helps,have a great day!!
~Pinky~
In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.
Answer:
Area of ΔQRS = 2.3 square inches
Step-by-step explanation:
From the given information,
<S + <Q + <R = [tex]180^{o}[/tex]
51 + 44 + <R = [tex]180^{o}[/tex]
95 + <R = [tex]180^{o}[/tex]
<R = [tex]180^{o}[/tex] - 95
= [tex]85^{o}[/tex]
<R = [tex]85^{o}[/tex]
Applying the Sine rule, we have;
[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
r = [tex]\frac{2.3*Sin85}{sin51}[/tex]
= 2.9483
r = 2.9 inches
Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]
= 2.0559
q = 2.0 inches
From Herons formula,
Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]
s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]
= 3.6
Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]
= 2.2895
Area of ΔQRS = 2.3 square inches
Answer:
2.4
Step-by-step explanation:
The amount of time, in hours, that a computer functions before breakingdown is a continuous random variable with probability density functiongiven byfX(x) ={1100e−x/100x≥00x <0.What is the probability that1. a computer will function between 50 and 150 hours before breakingdown (3 pts)2. It will function less than 100 hours? (3 pts)3. It will function exactly 100 hours before breaking down? (3 pts)
Answer:
[tex]P(50 < x < 150) =0.3834[/tex]
[tex]P(x = 100) =0.0074[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left \{ {{\frac{1}{100}e^{-x/100}\ x\ge 0} \atop {0\ x<0}} \right.[/tex]
Solving (a): Probability that it will function between 50 and 150 hr before it breaks down
This is represented as:
[tex]P(50 < x < 150) = \int\limits^{150}_{50} {f(x)} \, dx[/tex]
So, we have:
[tex]P(50 < x < 150) = \int\limits^{150}_{50} {\frac{1}{100}e^{-x/100}} \, dx[/tex]
Integrate:
[tex]P(50 < x < 150) =- e^{-x/100}|\limits^{150}_{50}[/tex]
This gives:
[tex]P(50 < x < 150) =- e^{-150/100} - - e^{-50/100}[/tex]
[tex]P(50 < x < 150) =- e^{-150/100} + e^{-50/100}[/tex]
[tex]P(50 < x < 150) =- e^{-1.5} + e^{-0.5}[/tex]
[tex]P(50 < x < 150) =- 0.2231 + 0.6065[/tex]
[tex]P(50 < x < 150) =0.3834[/tex]
Solving (a): Probability that it will function exactly 100 hr before it breaks down
This is represented as:
[tex]P(x= 100)[/tex]
This can be rewritten as:
[tex]P(x= 100) = P(99<x<101)[/tex]
So, we have:
[tex]P(99 < x < 101) = \int\limits^{101}_{99} {f(x)} \, dx[/tex]
So, we have:
[tex]P(99 < x < 101) = \int\limits^{101}_{99} {\frac{1}{100}e^{-x/100}} \, dx[/tex]
Integrate:
[tex]P(99 < x < 101) =- e^{-x/100}|\limits^{101}_{99}[/tex]
This gives:
[tex]P(99 < x < 101) =- e^{-101/100} - - e^{-99/100}[/tex]
[tex]P(99 < x < 101) =- e^{-101/100} + e^{-99/100}[/tex]
[tex]P(99 < x < 101) =- e^{-1.01} + e^{-0.99}[/tex]
[tex]P(99 < x < 101) =- 0.3642 + 0.3716[/tex]
[tex]P(99 < x < 101) =0.0074[/tex]
Hence:
[tex]P(x = 100) =P(99 < x < 101) =0.0074[/tex]
What type of world would you want to escape to right now if you could ?
Two consecutive even integers have a sum of 14. The equation that would be used to solve this
is x + x +__=14
The smallest of the two integers is _____ when you solve to find the integers.
plsssssssssssss help
Answer:
negative linear relationship
Step-by-step explanation:
Help is for now please
I WILL GIVE BRAINIEST IF ANSWERED WITH EXPLANATION PLEASE HELP
Find the area of each figure. Round your answer to 2 decimal places is required.
69.82 i think
Step-by-step explanation:
First the area of a rectangle is bh, so 5 times 12 is 60. Then you have a semicircle which is half a circle, so it would be pi(radius)squared divided by 2. The diameter is 5 because it's five on the other side and rectangles have opposite sides congruent. Radius is 2.5 after dividing diameter by 2. 2.5 pi r squared is like 19.634 blah blah blah. Divide that by two and add 60 to get 69.82.
Can someone help me how to do this task please?
Answer:
11/12
Step-by-step explanation:
100% of 80 is what number?
Select one:
160
80
8
100
Answer:
80
explanation:
100% means that its the whole of something so all of the said number
Answer:
In converting to percentage we multiply by 100%
100% of 80 =
80/100 x 100%
0.8 x 100 = 80
NB the 100% of any number is the number itself
Can you please help me do a and b I will reward brainliest
a) 640.32 cm^3
b) 98.4 cm^3
Step-by-step explanation:Part a)Cylinder volume:(3.14) × 2^2 × 12 = 150.72 cm^3
Triangular prism:We need to find the height of the base so we use the Pythagorean theorem.
5^2 + x^2 = 14.1^2
25 + x^2 = 198.81
x^2 = 173.81
x = 13.184
After finding height, we can use the equation for a normal triangular prism:
[tex]\frac{1}{2}[/tex] × Base × Height × Length
[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3
Total Volume: 791.04 - 150.72 = 640.32 cm^3
Part b)Small Sphere Volume:[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3
Half Sphere Volume :0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3
Cone Height:5^2 = 3^2 + h^2
25 = 9 + h^2
16 = h^2
h = 4
Cone Volume:(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3
Total Volume = 98.4 after rounding
Solve for c........:
Mark my answer brilliant if it helps you.
Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.
Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of milk chocolate are present in the candy? Show your work.
Let x be the weight of the candy in pounds, then 0.9x is the weight of the milk chocolate in pounds
The weight of the caramels in the candy is 3 pounds, so
An equation that can be used find the total number of pounds of milk chocolate and caramels in the candy is
0.9x + 3 = x ⇒ x = 30
So there are 0.9(30) = 27 pounds of milk chocolate in the candy.
hope this helps
I attached the question please take a look
Answer:
e
Step-by-step explanation:
beishdhsjsvsudjdnbdhdjrjdxbxbudsndnbhhxhxbdhddbdbd
Which expressions are equivalent?
1/5k-2/3j and -2/3j+1/5k
1/5k-2/3j and -1/5k+2/3j
1/5k-2/3j and 1/5j-2/3k
1/5k-2/3j and 2/3j-1/5k
please help!!!!!
State the divergence theorem and use it to evaluate ff.ds over the region V bounded by the planes x = 0, y = 0, z = 0, z = 4 and the surface of the cylinder x² + y² = 9 in the first octant, where F = xî + xyj + 2k.
As per the given details, the value of ff.ds over the region V bounded by the planes x = 0, y = 0, z = 0, z = 4, and the surface of the cylinder x² + y² = 9 in the first octant, where F = xî + xyj + 2k, is 81π.
The divergence theorem relates a flux fundamental across a closed floor S to a triple crucial over strong E enclosed by way of the surface.
It states that for a vector field F and a closed floor S that encloses a solid area E, the outward flux of F across S is equal to the triple necessary of the divergence of F over E.
Mathematically, the divergence theorem can be written as:
∫∫ F · dS = ∭ div(F) dV
To examine ff.Ds over the vicinity V bounded by using the planes x = zero, y = zero, z = zero, z = 4, and the floor of the cylinder x² + y² = 9 within the first octant, in which F = xî + xyj + 2k, we can use the divergence theorem. The first step is to locate the divergence of F:
div(F) = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z
= 1 + x
Next, we want to discover the volume enclosed via the surface. The cylinder x² + y² = 9 inside the first octant is a round cylinder with radius 3 and top 4. Therefore, the volume enclosed with the aid of the floor is:
V = ∫∫R (4 - z) dA
= ∫0^3 ∫0^(2π) (4 - z) r dr dθ
= 18π
So,
∫∫S F · dS = ∭V div(F) dV
= ∭V (1 + x) dV
= ∫0^4 ∫0^3 ∫0^(2π) (1 + x) r dθ dz dr
= 81π
Therefore, the value of ff.Ds over the place V bounded through the planes x = 0, y = 0, z = zero, z = four, and the surface of the cylinder x² + y² = 9 inside the first octant, where F = xî + xyj + 2k, is 81π.
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HELP, ME PLEASE LOOK AT THE PHOTO TRUE OR FALSE
Answer:
The answer is false. 2 is not congruent to 5.
Honestly, someone has a different answer but they have a whole paragraph so I think you should listen to what they say.
Answer:
True
Step-by-step explanation:
Same-side exterior angle converse theorem states that if two lines are intersected by a transversal and the same-side exterior angle are congruent, then the two lines are parallel. One can apply this theorem to the given case, and thus lines A and B are parallel.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I would believe 90* clockwise.
Step-by-step explanation:
It rotated 90* to be located on its side.
helppppppppppppppppp
Answer: x > 4
x > 4 would look like that on the graph. If it was x is greater than or equal to 4, then the circle would be completely filled in. Hope this helped!
find the image of U'( -8 , 1) after a translation along < 2 , 0 > and a reflection in the x axis
U"( -6 , -1)
U"(6 , 1)
U"(6 , -1)
U"(-1 , 6)
Given:
The point is U'(-8,1).
It is translated along <2,0> and reflected across the x-axis.
To find:
The image of U'.
Solution:
The given point is U'(-8,1).
It is translated along <2,0> . So, the rule of translation is:
[tex](x,y)\to (x+2,y+0)[/tex]
[tex]U'(-8,1)\to U_1(-8+2,1+0)[/tex]
[tex]U'(-8,1)\to U_1(-6,1)[/tex]
Then, it is reflected across the x-axis. So, the rule of reflection is:
[tex](x,y)\to (x,-y)[/tex]
[tex]U_1(-6,1)\to U''(-6,-1)[/tex]
The image of U'( -8 , 1) is U''(-6,-1).
Therefore, the correct option is A.
What App or what Website can help me solve problems of Statistics?
the varsity tutors ap statisyics app (app)
How do I do this: 16 divided by 0.05
Answer:
320
Step-by-step explanation:
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place in places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Answer: 320 is the correct answer
Step-by-step explanation:
To answer this questions is simple, you can see it as a long division question or regular division
Regular division:
16 ÷ 0.05 = 1600
(You can transform this into a simple non-decimal question and solve easliy)
1600 ÷ 5 = 320
This is the way to solve these type of questions without straining your brain in the process.
What’s 2/4 plus 3/8??
Mark brainliest!!!
No links!!
Step-by-step explanation:
[tex] \frac{2}{4} + \frac{3}{8} = \\ = \frac{4 + 3}{8} = \\ = \frac{7}{8} [/tex]
Answer:
The answer is 0.875 in decimal form but is 7/8 in fraction form
Step-by-step explanation:
what’s the answer ?
Uh I can't explain well so heres the answer
247.75
Plzzzzz answer. Will give brainliest
Area of square = (2x-3)^2
Area = 2x-3 x 2x-3
Area = 4x^2 -6x -6x +9
Area = 4x^2 -12x + 9
Area of ovals = x-5 + x-5 = 2x-10
Area of square - area of ovals:
4x^2 - 12x +9 - 2x -10
4x^2 -14x +19 square units
HELP WILL MARK BRAINLEST
no files nd no pictures
Answer:
6xsquared +9x + 12Pls help BRAINLYEST FOR BEST ANSWER YAYA
Answer:
A) 21
Step-by-step explanation:
Mean:
(23 + 18 + 24 + 15 + 25)/5
105/5
21
Answer:
21
The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.