The last expression is equivalent to √5³.
What equation contains an expression?
The equal to sign (=) is the best indicator of whether a given problem is an equation or an expression because it indicates that the problem is an equation.
It is only an expression if there isn't an equal to (=) sign present. It contains data that is used to demonstrate value, such as numbers, variables, and operators.
[tex]= ( 5^{1/8} * 5^{3/8} )[/tex]
[tex]= ( 5^{1/8} * 5^{3/8} ) \\= 5^{(1/8 + 3/8)}[/tex]
[tex]= 5^{4/8}[/tex]
[tex]= 5^{(1/2)}[/tex]
[tex]= [5^{(1/2)}]^{3}[/tex]
Because of the "Power of a power property"
= [tex]5^{3/2}[/tex]
The last expression is equivalent to √5³.
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Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3
Answer:
Es igual a 7.
Step-by-step explanation:
Ok, sabemos que:
[tex]2^x + 2^{-x} = 3[/tex]
Queremos calcular:
[tex]4^x + 4^{-x}[/tex]
Tambien sabemos que 4 = 2*2
Entonces:
[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}[/tex]
y sabemos que 2*2 = 2^2
Entonces:
[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}[/tex]
y ahora podemos usar la relación:
[tex](a^n)^m = (a^m)^n = a^{m*n}[/tex]
entonces:
[tex](2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2[/tex]
Ahora podemos completar cuadrados sumando y restando el termino:
[tex]2*(2^x)*(2^{-x})[/tex]
Asi tendremos:
[tex](2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]
Entonces de momento tenemos que:
[tex]4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]
Sabemos que el termino que esta dentro del parentesis es igual a 3.
Y tambien podemos usar la propiedad:
[tex]a^n*a^m = a^{n + m}[/tex]
en el termino de la derecha.
Asi tendremos:
[tex](2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7[/tex]
Eric is going to visit his grandmother, who lives about 250 miles away. He travels at
a speed of 55 miles per hour. About how many hours will it take him to get there.
Can someone explain please :)
Answer:
4.55 hours (rounded to the nearest tenth)
Step-by-step explanation:
If you take 250 and divide it by 55 you get 4.5454 repeating. Round to the nearest tenth and you get 4.55 hours.
Find the value of (8^0+7^-1)x3^2
Answer: look at the picture
Step-by-step explanation: Hope this help :D
72x/7
Hope this Helped :T
HURRY ITS EASY 10PT
Terrell ordered a set of yellow and brown pins. He received 52 yellow pins and 28 brown pins. What percentage of the pins were yellow?
Answer:
65%
Step-by-step explanation:
52 + 28 = 80 total pins
52/80 = .65
Answer:
65% of the pins were yellow
Step-by-step explanation:
52 +28= 80 total flowers
80= 100%
52= x%
80x = 5200
x = 65%
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO LINKS OR I WILL REPORT YOU!*
Calculate the IQR given the box plot below:
Reading Box Plots
A. 75
B. 25
C. 10
D. 50
Answer:
25
Step-by-step explanation:
I just did the same thing!!! LOL :) I hoped that helped
Answer:
c
Step-by-step explanation:
To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10
a number y times fives is at most one hundred
Answer:
20
Step-by-step explanation:
twenty times five is one hundred, so, I hope that's the answer you're looking for
Answer:
y <= 20
Step-by-step explanation:
Since it says a number y, our variable is y.
The number is multiplied by 5 which gives us 5y.
It is at most one hundred which means this is an inequality. It is AT MOST which means that 100 is a possible value. This means that our inequality is:
5y <= 100
Now we divide both sides by 5 to isolate y
y <= 20
module six review and discussion-based assessment
Answer:
okay what's your question?
Step-by-step explanation:
Answer:
whats the question
Step-by-step explanation:
Write the equation of each line in slope intercept form
Step-by-step explanation:
To Find :-
Equation in Slope Intercept Form .Solution :-
The line passes through (0,2) , therefore ,
> y intercept = 2 .
And slope ,
> m = -0.75
Using slope Intercept Form ,
> y = mx + c
> y = - 0.75 x + 3
I fly like paper get high like planes
Answer:
If you catch me at the border I got visas in my name
If you come around here, I make 'em all day
I get one done in a second if you wait
Step-by-step explanation:
The area of a room is 425 square feet. The length is (x+9) feet and the width is (x+1) feet. Find the dimensions of the room.
Answer:
width is 17
length is 25
Step-by-step explanation:
(x+9)(x+1) =[tex]x^{2}[/tex] + 10x + 9 = 425
[tex]x^{2}[/tex] + 10x - 416 = 0
(x-16)(x + 26) = 0
x = 16 or x = -26
x cannot be -26
x = 16
so, (16 + 1) = 17
(16 + 9) = 25
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
64 cm²
Step-by-step explanation:
(12*4.5)+(2*5)= 54+10=64
There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?
Answer: red marbles = 140
White marbles = 98
Step-by-step explanation:
Let the number of white marbles be represented by x
Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42
Since there are 238 marbles in the jar, this can be represented in an equation as:
x + x+42 = 238
2x + 42 = 238
2x = 238 - 42
2x = 196
x = 196/2
x = 98
White marbles = 98
Red marbles = x + 42
= 98 + 42
= 140
GIVING BRAINLIEST!!!!!!!!!!!PLS HELP :((
In which step does a mistake First occur? 8+2+(3X 3-2)
Step1: 8+2+(3x1)
Step2: 8+2+3
Step3: 4+3
Step 4: 7
Answer:
step 2 he divded the 8 by 2
Step-by-step explanation:
There IS a mistake
8+2 is 10
so 10+3 is equal to 13
Help! I’m stuck please and ty
Answer:
-7
Step-by-step explanation:
They both are perpendicular lines. Which means that their slopes are opposite reciprocals.
Answer:
I believe that would be -1/7
Step-by-step explanation:
It's essentially going in reverse, you go -1 spot on the graph and up 7.
Find the volume of the cylinder. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi radius 5 height 6
Answer:
150π cu. units
Step-by-step explanation:
V = Bh where B is the area of the circular base and h is the distance between the bases (height)
B = [tex]\pi r^{2}[/tex] = [tex]\pi 5^{2}[/tex] = 25π
V = 25π(6) = 150π cu. units
Answer: V = 471 m^3
In terms of PI - V = 150 π m^3
Step-by-step explanation:
V = πr2h
V = 3.14(5)^2(6)
V = 3.14(25)(6)
V = 471 M^3
or
V = 3.14 (25)(6)
V = 150 π m^3
Which of these figures has rotational symmetry?
please help asap i will mark brainliest i need this now
just look at it and think hard. you got this you don't need to use brainly
HELPPPPPPPPPPPP PLZZZZZZZZZZZZ
NO LINKS PLEASE AND THANK YOU .
I had to ask this again
Can someone help me please
Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.
y = x^2 + 2x
y = -3x + 6 so
x^2 + 2x = -3x + 6
x^2 + 5x - 6 = 0
(x + 6)(x - 1) = 0
So x = 1 ( we ignore the negative)
So after 1 week they have saved the same amount and the amount is -3 + 6 = 3.
Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!
Answer:
x=5
Step-by-step explanation:
35+4x=x^2+30
collect the like terms n form a quadratic equation
x^2-4x-5=0
solve the quadratic equation
x=5 or x=-1
ignore the negative answer bcz week cant be negative
So the answer is 5 weeks
On a game show, a contestant randomly chooses an envelope and wins
the prize that is written inside. There are 3 envelopes containing a car,
5 envelopes containing a vacation, and 2 envelopes containing
electronics.
What is the probability that a contestant picks a vacation?
Answer:
D or 1/2
Step-by-step explanation:
If there are 3 envelopes for a car, 5 envelopes for vacation, and 2 envelopes for an electronic, then add 3+5+2=10. But, we are figuring out the vacation envelopes, which there are 5 of those and 5 is half of 10. Therefore, your answer is 1/2.
(9x + 4) - (-5x2 - 5x + 7)
Answer:
44 I think
Step-by-step explanation:
i don't know I'm not too sure
Austin graphed a system of linear equations as shown. What x -value represents the solution to the given system of linear equations?
Answer:
the answer is -2,4
Step-by-step explanation:
I had this question before and thats where the lines intersect
If m1 = 31° and m2 = 94°, what is m3?
Answer:
27
Step-by-step explanation:
bc m1=31 and m2=29 you subtract 31-29and it is 27
The height of a seat on a Ferris wheel can be modeled as
H (t) = 48 sin (pi/20t + 3pi/2) + 54, where tis time in seconds and H(t) is
height in feet
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 108 feet
B. 102 feet
C. 96 feet
D. 54 feet
Answer: 102 ft
Step-by-step explanation:
Answer:102 feet
Step-by-step explanation:
Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?
Which has a higher cost of credit, a $12,000.00 loan for 3 years at 28.8% interest or a $24,000.00 loan for 3 years at 14.4% interest?
The cost of credit is the amount that a person pays over and above the amount borrowed.
P is the principal, r is the interest rate,
m is the number of monthly payments,
M is the monthly payment
A.
There is not enough information to calculate the cost of credit.
B.
A $24,000.00 loan for 3 years at 14.4% interest has a higher cost of credit.
C.
A $12,000.00 loan for 3 years at 28.8% interest has a higher cost of credit.
Answer:
B
Step-by-step explanation:
What is 1 + ( -2/3) - ( -9/2)
Answer
29/6 or 4 5/6
Step-by-step explanation:
1. Find a common denominator
2. Common denominator is 6 Remember - multiply by a - gives you a positive.
3. Rewrite 6/6 -4/6 +27/6
4. Add the numerators together to get 29
5. Answer is 29/6 or as a mixed number 4 5/6
log4(x-3) + log4(x+3) =2
Answer:
x=5
Step-by-step explanation:
the answer is choice c
What is the radius of these cylinders?
Answer:
sorryyyyy i really dont know
Im practicing for a state test im taking- i am a 7th grader doing 9th grade algebra because well yeah im smort- anyways- my teacher and all of us thought the answer was 40% but it wasnt she gave us the answer of 62.5%- she wants us to explain how she got that answer can anyone help me.
Answer:
62.5%
Step-by-step explanation:
the question is worded weirdly but basically since they're saying "given that a state does not use nuclear power", you can ignore the ones that do use nuclear power.
20 + 12 = 32
and then u have to find the percentage that do use coal (20). to do that all you have to do is divide then move the decimal place backwards 2 times
20 ÷ 32 = 0.625
62.5%