Determine whether each expression is equivalent to 81^0.5t+0.25
Answer
27^0.5+0.25 or 3^0.5+0.25
3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 81^0.5t+0.25
Simplifying the given expression:
=> 81^0.5t+0.25
Simplify using the exponent power rule: (a^m)^n = (a)^mn
Convert decimal to fraction:
=> (3⁴ )^0.5t + 25/100
Cross out the common factor:
=> 3^2t + 1/4
therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
Learn more about expression here:
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Mario vende dos autos a 30 000 dólares cada uno. En la venta de uno ganó el 20% y en la
venta del otro auto, perdió el 20%.
a. ¿Cómo le fue a Mario con este negocio? ¿Ganó, perdió o ni ganó ni perdió?
b. Si tu respuesta a la pregunta anterior es que Mario ganó dinero (o perdió dinero),
¿Cuánto dinero ganó (o perdió)?
Answer:
Mario perdió dinero, perdió 2500 dólares
Step-by-step explanation:
En el primer caso, Mario está vendiendo su carro en 30 000 dólares. En otras palabras, el precio de venta es 30 000. Te dice que en el primer carro ganó 20%, o sea que su precio de venta es una incógnita que llamaremos x y gano 20% de x. Podemos expresarlo de esta manera
x = precio de compra carro 1
x + (20% de x) = 30 000
x = 100 % de x
(100% de x) + (20% de x) = 30 000
120% de x =30 000
120% = 1.2
1.2x = 30 000
x = 25 000
El segundo caso es bastante parecido. Te indica que el precio de venta sigue siendo el mismo, pero el precio de compra es diferente. El precio de venta sigue siendo 30 000, pero el precio de compra del segundo carro esta vez será "y". En este caso, pierde 20% del precio de compra, o osea, pierde 20% de y. Se puede expresar de la siguiente manera:
y = precio de compra carro 2
y - (20% de y) = 30 000
y = 100% de y
(100% de y) - (20% de y) = 30 000
80% de y = 30 000
80% = 0.8
0.8y = 30 000
y= 37 500
Entonces tenemos que el precio de compra del carro uno es 25 000 dólares y el precio de compra del carro dos es de 37 500. Si sumamos ambas cantidades, tenemos que ambos carros costaron 62 500 dólares. Como vendió esos dos autos a 30 000 dólares cada uno, recibió 60 000 dólares. El precio por el que vendió los autos (60 000) es menor al precio del que los compro (62 500), por lo que eso representa una perdida.
Para hallar la cantidad que ganó o perdió (en este caso perdió) debes restar el precio de venta menos el precio de compra.
60 000 - 62 500 = -2 500
Como es un número negativo, representa una perdida.
In your wallet you have the following paper money: 2 singles, 4 fives, 3 tens, and 6 twenties. What is the probability that you will draw a 5 and then a 10?
Answer:
Step-by-step explanation:
can someone please help me get the steps right ????
Solve the system of equations by using substitution.
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
[tex]y = 2x +3 ----(1) \\\\y = x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3[/tex]
[tex]x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in \ (2) : y = -1 + 2 => y = 1[/tex]
Consider this quadratic equation.
2x^2-1 = 3x+4
Which equation correctly applies the quadratic formula?
Answer:
D
Step-by-step explanation:
A and C are the same and each should be divided by 2(2)
B should be 4(2)(-5)
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
acute
hope this helps
have a good day :)
Step-by-step explanation:
What is the slope of the line 4x-3x-5=0
Answer:
Undefined? Or 5?
Step-by-step explanation:
The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The AJC found 60% favored voting on paper ballots they filled themselves (as opposed to voting with a computer). Find a confidence interval for the proportion of all registered voters that favor at 85% confidence level. a) (0.576, 0.624) b) (0.376, 0.424) c) (0.583, 0.617) d) (0.586, 0.614)
Answer:
a) (0.576, 0.624)
Step-by-step explanation:
Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%
α = 1 - C = 1 - 0.85 = 0.15
α/2 = 0.075
The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence [tex]z_\frac{\alpha }{2} =1.44[/tex]
The margin of error (E) is:
[tex]E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024[/tex]
The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)
What is the midline equation of y = 2 sin( pi/2 x+3)?
Answer:
y = 0 is the midline equation.
Step-by-step explanation:
The midline equation of y = 2 sin( pi/2 x+3) is the same as that of
y = 2 sin( pi/2 x+3) or y = sin( pi/2 x+3), and is
y = 0.
can someone please answer this i got 2 hours of sleep last night and im trying to stay awake and do hw and i need to do homwork all day tmr also
Answer:
two
Step-by-step explanation:
please help me asapppp :)
Answer:
188
Step-by-step explanation:
6*6=36
(6+13=19)*8=152
152+36=188
Answer:
The area of the composite figure is 188 m^2
Step-by-step explanation:
Let's work with the square first.
Given,
Length of one side of the square = 6m
We know,
Area of square region = ( Length of one side of the square)^2 sq. unit
= [tex]6^{2}[/tex] m^2
= 36 m^2
Again,
Length of the rectangle = (13 + 6) m = 19 m
Breadth of the rectangle = 8 m
We know,
Area of the rectangular region = (Length X Breadth) sq. unit
= ( 19 X 8 ) m^2
= 152 m^2
∴ The total area = (36+152) m^2
= 188 m^2
So, the area of the composite figure is 188 m^2.
Nathan lifts a 5 lb. box 2 feet. How much work has he done?
2 ft-lbs.
5 ft-lbs.
7 ft-lbs.
10 ft-lbs.
Answer:
10 ft-lbs.
Step-by-step explanation:
Given data
Weight of box= 5 lb
Height moved = 2 feet
We know that the expression for work done is
Work done= Force * Distance
Work done= 5*2
Work done= 10 10 ft-lbs.
What is the slope? HELP PLEASE!
Answer:
-7
Step-by-step explanation
Answer: the slope or gradient of a line is a number that describes both the direction and the steepness of the line. it's just rise over run, if it's 5 high and goes left or right 6 the slope is 5/6
Step-by-step explanation:
1. {26, 21, 28, 31, 9, 28, 16, 18, 21, 23, 29, 24, 19, 22, 25, 28}
Find the mean.
Answer:
368 / 16 = 23
Step-by-step explanation:
Add them all, then divide by how many numbers are in the data set.
Answer:
The above person's answer is correct sorry for the wrong data.
help me with this quick pleaseeeee
Answer:
D' = ( 1 , -1 )
Step-by-step explanation:
2 times 1/2 = 1
-2 times 1/2 = -1
hope this helps ^^
what type of polynomial is this 5x2-x+4
Answer:
Step-by-step explanation:
It is a trinomial because the given polynomial has three terms
Ashley goes to the fair. She is charged $15.00 for admission plus $0.50 for each ride ticket. Ashley has $24.00 to spend at the fair. Write and solve an inequality to represent this situation. Explain what the solution to the inequality means in this situation.
Answer:
15 + x(.5) = 24 ; x = 18
Step-by-step explanation:
15 + 18(.5) = 24
15 + 9 = 24
Step-by-step explanation:
t is the number of ride tickets she can buy.
=>
[tex]15 + t \times 0.5 \leqslant 24[/tex]
she has to pay $15 just for entering. the rest of the money she can use for ride tickets.
so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.
the $15 admission goes off the $24 available money. that leaves $9.
each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.
so, again
[tex]15 + t \times 0.5 \leqslant 24[/tex]
[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]
[tex]t \times 0.5 \leqslant 9[/tex]
[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]
[tex]t \leqslant 18[/tex]
plllls help me with these three I will make brainlesst pls no links
unit 8: right triangle and trigonometry homework 2: special right triangles
Answer:
90+1,2 = 200
Step-by-step explanation:
maaf kalo salah
PLEASE HELP ME! WILL MARK BRAINLIEST
Answer:
THE SECOND ANSWER
Step-by-step explanation:
Find the distance between X and Y.
2730
A.
В.
C.
D.
-11
10
11
12
Please select the best answer from the choices provided
Ο Α
OB
О С
OD
Answer:
11 is the correct answer
Step-by-step explanation:
21-10
Will mark correct answer brainliest
Answer:
the answer is minimum
Step-by-step explanation:
that's correct, correct me if I'm wrong
Answer:
Minimum is the correct answerrr
Step-by-step explanation:
Mark brainliest pls
answer quickly please both of them
Answer:
answer 10 32.78
anawer 11 12
can some help me with this
(you can pick more than one for each column)
Answer:
no no nlnnlnl
Step-by-step explanation:
no sorryyy
nadia made a model of the garage each edge of the real garbage is 4 times the length of the edge of the model which statement about volumes is true?
An angle of a right triangle measures 65 degrees. If the length of the side opposite to the angle is 20 ft, what are the lengths of the two other sides?
Answer:
22.07 ft & 9.32 ft
Step-by-step explanation:
by sines rule :
20/sin 65° = r/sin 90° = y/sin 25°
r = 20×sin 90°/sin 65° = 20/0.9063
= 22.07 ft
y = 20×sin 25°/sin 65° =
20× 0.4226/0.9063
= 9.32 ft
On a sheet of paper draw a Regular Hexagon with a Radius equal to 6 units.
Answer:
Show me the options
Step-by-step explanation:
In the figure, RV, WS, and QT intersect at point P.
What is the value of x? Show your work.
Answer:
x = 12
Step-by-step explanation:
67+42+6x-1=180
108+6x=180
6x=72
x=12
If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs? No links Pls
Answer:
8.94
Step-by-step explanation:
Given that
qs = 12cm
qr = 8cm
Required
rs
Using the pythagoras theorem
Let us assume qs is the hypotenuse side
qs² = qr² + rs²
12² = 8² + rs²
144 = 64 +rs²
rs² = 144 - 64
rs² = 80
rs = √80
rs = 8.94
Hence the value of rs is 8.94
Please do my survey!!! I need 15 more ppl to do it. Just answer yes to the first 2 questions or you will be kicked out!!! Will attach the link in comments
Answer:
yes i guess what is the survey?
Step-by-step explanation:
Answer:
i mean ok, whats the survey abt
Step-by-step explanation: