Answers
Answer:
16/25
Step-by-step explanation:
(5/4)^-2 = (4/5)^2 = 16/25
The given expression (5/4)⁻² is equivalent to 16/25.
To rewrite (5/4)⁻² without an exponent, we can apply the reciprocal property of exponents.
The reciprocal of (5/4)⁻² is equal to the reciprocal of 5/4 raised to the power of 2.
The reciprocal of a fraction is obtained by flipping the numerator and denominator.
So, the reciprocal of 5/4 is 4/5.
Now, we raise the reciprocal (4/5) to the power of 2.
To do this, we multiply the numerator and denominator of 4/5 by itself.
(4/5)² = (44) / (55) = 16/25
Therefore, (5/4)⁻² can be rewritten as 16/25 without an exponent.
To learn more about exponent click on,
https://brainly.com/question/31403361
#SPJ2
Related Questions
determine the area and perimeter
Answers
Answer:
Area is the total surface covered by the shape and perimeter is the total length of the shape.
Santo chose c as the correct
Answers
Martina took a train to the bullfight. It traveled 544 km nonstop in 8.5 hours to get there. If the train moved at a steady speed, what was the rate of speed
Answers
Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
If (x,-3) is a solution to the equation 4x = 5y - 1, what is the value of x?
Answers
9514 1404 393
Answer:
x = -4
Step-by-step explanation:
Put the given point in the equation and solve for x.
4x = 5(-3) -1
4x = -16 . . . . . . simplify
x = -4
How many different sets of answers are possible on a true-false test that has 11
questions?
Answers
a continuous random variable is uniformly distributed in the interval a<X<b the Lower quartile is 5 and upper quartile is 9 find
a. the values of a and b
b. p(6<X<7)
c. the cumulative distributive function
راز
Answers
(a) X has a probabiliity density of
[tex]f_X(x) = \begin{cases}\dfrac1{b-a}&\text{if }a<x<b\\0&\text{otherwise}\end{cases}[/tex]
If the lower quartile is 5 and the upper quartile is 9, then
[tex]\displaystyle \int_a^5 f_X(x)\,\mathrm dx = 0.25 \text{ and } \int_9^b f_X(x)\,\mathrm dx = 0.25[/tex]
Computing the integrals gives the following system of equations:
[tex]\displaystyle \int_a^5\frac{\mathrm dx}{b-a} = \frac{5-a}{b-a} = 0.25 \\\\ \int_9^b \frac{\mathrm dx}{b-a} = \frac{b-9}{b-a} = 0.25[/tex]
5 - a = 0.25 (b - a) ==> 0.75a + 0.25b = 5 ==> 3a + b = 20
b - 9 = 0.25 (b - a) ==> 0.25a + 0.75b = 9 ==> a + 3b = 36
Eliminate a :
(3a + b) - 3 (a + 3b) = 20 - 3×36
-8b = -88
==> b = 11 ==> a = 3
and so P(X = x) = 1/(11 - 3) = 1/8 for all 3 < x < 11.
(b)
[tex]\displaystyle P(6<X<7) = \int_6^7f_X(x)\,\mathrm dx = \int_6^7\frac{\mathrm dx}8 = \boxed{\frac18}[/tex]
(c) The distribution function is then
[tex]\displaystyle F_X(x) = \int_{-\infty}^x f_X(t)\,\mathrm dt = \begin{cases}0&\text{if }x\le3 \\ \dfrac x8 &\text{if }3<x<11 \\ 1&\text{if }x\ge11\end{cases}[/tex]
Help me please!!!٩(๑꒦ິȏ꒦ິ๑)۶
the 1st one
Answers
9514 1404 393
Explanation:
Add sin(θ)
cos(θ) = sin(θ)
Divide by cos(θ)
1 = sin(θ)/cos(θ) = tan(θ)
Square both sides
1 = tan²(θ)
Add 1
2 = tan²(θ) = sec²(θ)
Take the square root
√2 = sec(θ) . . . . for 0 < θ < π
_____
Additional comment
The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.
I want to know how to solve this.
Answers
Answer:
B
I just did it and got it right
Things did not go quite as planned. You invested $21360, part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $, how much was invested at each rate? How much money was invested at 12% annual interest?
Answers
Answer:
1992
Step-by-step explanation:
Let x be the amount invested at 12%.
Then the rest amount is (21360-x) dollars.
The 12% stock earning is 0.12x dollars.
The rest amount loss is 0.05*(21360-x) dollars.
Your equation is
interest - loss = total interest, or
0.12x - 0.05*(21360-x) = 1992 dollars.
Simplify and solve for x.
What’s x = in this equation
Answers
Answer:
5m
Step-by-step explanation:
Applying Pythagoras theorem:
a² + b² = c² (where a is base length, b is the height and c is the hypotenuse of the right triangle)
3² + 4² = c²
c² = 9 + 16 = 25
c = x = [tex]\sqrt{25}[/tex] = 5
∴ x = 5m
6927÷19 plz help me
Answers
John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.
What was the new status of John's account at this point?
Answers
Answer:
210
Step-by-step explanation:-133-55-22=210
Which diagram shows an angle bisector
Answers
B
if it is not correct sory
Diagram B is a proper demonstration of an angle bisector.
Letter A is wrong because they are a set of intersecting ines.
Letter C is wrong because they are a set of parallel lines.
Letter D is wrong because they are also a set of perpendicular lines.
So, now, we know that Letter B is the correct answer. The reason for this is also because ∠ACD is bisected by line B.
I hope that this helped answer your question. Have a good day!
The perimeter of a rectangle is 332cm and the width is 76cm. Find the rectangle’s length
Answers
solution: 332 - 76 - 76 = 180
180 ÷ 2 = 90
Adult tickets for a movie cost six dollars and children's tickets cost three dollars if two adults and three children go to the movies how much will they pay?
Write a numerical or algebraic expression for each verbal phrase
Answers
2($6)+3($3)=$21
how to complete this question?
Answers
Answer:
f(x) = [tex]-2^{x+1}-1[/tex]
Step-by-step explanation:
I. If you see (0, -3) point on the green line
II. Perform x = 0, if y = -3 means the statement is true
= [tex]-2^{0+1} - 1[/tex]
= [tex]-2^{1}[/tex] - 1
= -2 - 1
y = -3
Got more question or somethin to discuss? Leave comment below
Cuál es el valor de la siguiente expresión?
(6 + 27) / (5 - 2)
Answers
Answer: 11
Step-by-step explanation:
6+27=33
33/3 = 11
Order the numbers from least to greatest
Answers
Answer:
B
Step-by-step explanation:
It just is
X:3/2+1/2x=2x
I need to solve for x
Answers
Answer: x = 1
Step-by-step explanation:
Given
3/2 + (1/2)x = 2x
Multiply 2 on both sides to cancel out the denominator
2 · [3/2 + (1/2)x] = 2 · 2x
3 + x = 4x
Subtract x on both sides
3 + x - x = 4x - x
3 = 3x
Divide 3 on both sides
3 / 3 = 3x / 3
[tex]\boxed {x=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the constant C such that x ^ 3 - 3x + 5 <= C where x in[0,3] 18 23 14 17 21
Answers
Plug in maximum value of x (3) and see what you get. The maximum value of the expression when plugged in is C.
[tex]3^3-3\cdot3+5=C[/tex]
[tex]27-9+5=C\implies 23=C[/tex]
Now that means,
[tex]x^3-3x+5\leq 23[/tex] for any x in [tex][0,3][/tex]
Hope this helps :)
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answers
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
Translate into a variable expression. the quotient of 43 less than m and twice m
Answers
Answer:
(m - 43)/2m
Step-by-step explanation:
2/8 of a rope is 28 meters.What is the length of the rope?
Answers
let length be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2}{8}\times x=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{8}=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{4}=28[/tex]
[tex]\\ \sf\longmapsto x=4(28)[/tex]
[tex]\\ \sf\longmapsto x=112[/tex]
You buy butter for $4 per pound You need 4oz of butter for your formula How much does the butter for 1 portion cost?
Answers
2 Why does it make sense to add 8 + 2 to make a ten and make new problem, 10 + 4?
Answers
Step-by-step explanation:
Hahahaha this is math.lol
Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10
Answers
Answer:
c
Step-by-step explanation:
thats the anser
need the answer as soon as possible
Answers
Answer:
soln
Step-by-step explanation:
=21÷x-2s
=21÷7-2×9
=3-18
=-15
the perimeter of a rectangular field is 342 yards. if the width of the field is 77 yards, what is its length
Anyone know the answer to this?
Quick response
Answers
Since you know that in order to find the perimeter, you use the equation 2L+2W.
342=2L+2(77)
342=2L+154
188=2L
94=L
X-18.6
_____=-0.326
15.3
Answers
Answer:
13.6122
Step-by-step explanation:
(x-18.6)/15.3=-0.326
x-18.6=-0.326*15.3
x-18.6=-4.9878
x=-4.9878+18.6
x=13.6122
Add -13 + 5. 8 -8 -18 18
Answers
If so this would be the answer:
80