Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?
Answers
Note that the expression that is equivalent to 8x² ∛375x + 2∛3x⁷, if x ≠ 0 is: 42x²∛3x (Option B). Even if x = 0, then none of the answers would apply because the expression would automatically = 0.
What is the rationale for the above answer?To prove the above lets us factor and rewrite the radicand in exponential form as follows:
8x² ∛(5³ * 3x) + 2∛(3x⁶ * x)
Rework the expression using
ⁿ√ab = ⁿ√a * ⁿ√b:8x² * ∛5³ * ∛3x + 2∛x⁶ * ∛3x
Simplify the expression 8x² * 5∛3x + 2x² ∛3x
Multiply the monomials to get:
40x² ∛3x+2x²∛3x; Taking the coefficients for the like terms we have:
(40 + 2)x² ∛3x
Calculate the sum to get 42x²∛3x
Thus the simplified version of 8x² ∛375x + 2∛3x⁷, if x ≠ 0 is: 42x²∛3x
Learn more about Math Expressions:
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Full Question:
Select the correct answer. Which expression is equivalent to 8x² ∛375x + 2∛3x⁷, if x ≠ 0
A) 42x³
B) 42x²∛3x
C) 10x⁴∛125x
D) 10x²∛125x³
Related Questions
Find q.
60 °
30 °
4
q
Write your answer in simplest radical form.
Answers
Answer:
q = 4√3
Step-by-step explanation:
the value of q = 4. root 3 = 4√3 units .
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9. Henry joined an art class that charges
$125 for the cost of supplies, plus $25
per class. Henry wants to spend no more
than $500 on art classes. Which
inequality can be solved to find the
number of classes Henry can take?
A 25x + 125 < 500
B 125x - 25 > 500
C 25x 2 625
D 125x + 25 S 500
Answers
Answer:
Step-by-step explanation:
[tex]25x+125\le 500[/tex]
En el puenlo de tamalemeque desean construir un parque de forma rectangular con un camino diagonal cuanto debe medir el camino si el parque deberia tener de 80 metros de largo y 60 de ancho como se puede determinar la medida,argumente su respuesta utilizando lo que sabe de matematicas
Answers
Answer:
El camino diagonal debe medir 100 metros de largo.
Step-by-step explanation:
Podemos encontrar el camino usando Pitágoras:
[tex] D^{2} = L^{2} + A^{2} [/tex]
En donde:
D: es el camino diagonal = hipotenusa
L: es el largo = 80 m = cateto
A: es el ancho = 60 m = cateto
Entonces, el camino diagonal es:
[tex] D = \sqrt{L^{2} + A^{2}} = \sqrt{(80 m)^{2} + (60 m)^{2}} = 100 m [/tex]
Por lo tanto, el camino diagonal debe medir 100 metros de largo.
Espero que te sea de utilidad!
Mrs. Wilson wants to buy a portable TV for her kitchen. She has space on her counter for a TV that is 18 inches high by 15 inches wide. The store salesperson asks for the length of the diagonal. What should she tell him?
Answers
18^2+15^2=x^2
324+225=x^2
549=x^2
Find the square root of 549
Your answer is approximately 23.43 inches.
A round swimming pool has a radius of 12 feet. What is its circumference?
Answers
c=2πr
=2*3.14*12
=75.36 m
it's circumference is 75.36 m
Answer:
about 452.16
Step-by-step explanation:
c = pi r²
12²= 144
pi is about 3.14
144 × 3.14 = 452.16
Dhruv is 24 years older than Sanjay.10 years back Dhruv’s age was five times the age of Sanjay. Find their ages.
Answers
Answer:
Sanjay age=16 years; Dhruv age = 40 Years
Step-by-step explanation:
Let Sanjay’s present age be ‘x’, then Dhruv age is x+24
10 years back, Sanjay’s age was (x-10) years and Dhruv’s age
was (x+14)
Given: x+14 =5(x-10)
X=16 years
Sanjay age=16 years; Dhruv age = 40 Years
answer the quetions please look below
Answers
Answer:
38 in^2 and 26 in^2
Step-by-step explanation:
1. The formula of the area of a trapezoid is [tex]A = \frac{1}{2} (b_{1} + b_{2})h[/tex] where b = base and h = height.
So, [tex]A = \frac{1}{2} (7+12)(4)[/tex] = 38 [tex]in^{2}[/tex]
2. [tex]A = \frac{1}{2}(5+8)(4)[/tex] = 26 [tex]in^{2}[/tex]
No, Betsy is not correct. She likely forgot to multiply by 1/2 when calculating the area. The correct answer is 26 inches squared.
Can someone help me thank you I have to show my work for these problems
Answers
Answer:
4. perimeter = 232cm
area = 1600cm²
5. perimeter = 30m
width = 8m
Step-by-step explanation:
Perimeter is the sum of the all the sides of a figure.
Area is given as length times breadth
message me for the rest of the answers and explanation
A solid has an area of 1cm squared. The solid is dialated to a new area of 2,401cm squared what was the scale factor? Show your work
Answers
Answer:
1 : 2401
Step-by-step explanation:
Given that:
Area of solid = 1cm²
New area after dilation = 2401 cm²
The scale factor :
Old area : new area
1 cm² / 2401 cm²
Hence, the scale factor is
1 : 2401
COULD YOU PLEASE HELP OUT WITH THIS PROBLEM!!??
find the output y of the function y = -4/15x + 24, input (x) is 120 -- x = ?
Answers
Answer:
ano pong lesson yan.paki comment nalang po.
Write an recursive formula for a_n and the n^th term of the sequence 3, -18, 108, If You answer this, you might become Brainliest
Answers
Answer:
an=a1+(n-1)*-6
Step-by-step explanation:
a1= 3
the recursive formula is an= a1+ (n-1)d
d= how you get from one to the other
to get from 3 to -18 you could either subtract 21 or multiply it by -6
to find which one you have to look at the next number which is 108
to get from -18 to 108 you would either add 126 or multiply it by -6
since multiplying by -6 is in both that is the answer
d= -6
an=a1+(n-1)*-6
A real estate agent earns 3% commission for the sale of a $575,000 home. What is the commission earned?
A computer store pays $150 for a computer. The percent of markup is 45%.
What is the markup of the computer? What is the selling price of the computer?
A video game that regularly sells for $55 is on sale for 25% off.
What is the discount? What is the sale price of the video game?
Answers
Step-by-step explanation:
For the real estate agent: To find percent of a number, you can just divide by 100 and times it by the percent number, in this case it is 3.
$575,000 / 100 = $5,750
$5750 * 3 = $17,250
The agent earns $17,250.
For the computer store: Use the percentage and multiply it by 0.45, or whatever the percentage is.
150 * 0.45 = 67.5. This is the markup.
Now add the original value back to the markup.
150 + 67.5 = 217.5. This is the selling price of the computer.
For the video game: Use the percentage and multiply it by 0.25, or whatever the percentage is.
$55 * 0.25 = $13.75. This is the discount.
Now subtract the discount from the first value.
$55 - $13.75 = $41.25. This is the sale price.
can you say it in order
Answers
8
12
You add 8 to each of them
The scalene triangle ABC is translated 2 units to the right on a coordinate plane to form the scalene triangle DEF. The measure of segment AB=6 units, the measure of segment BC=5 units, the measure of segment CA=4 units, and m∠ABC=41°. Which of the following is a corresponding measure of triangle DEF?
Answers
Answer:
C: EF = 4 Units
Step-by-step explanation:
Three friends are comparing their weekly paychecks. Donald discovers that he earned one-third of Michael's paycheque, and $80 less than Jacob's paycheque. Together, the three friends earned $2920 in one week. How much did each friend earn?
Answers
Answer: Michael's paycheque = $ 1704
Donald's paycheque = $ 568
Jacob's paycheque = $ 648
Step-by-step explanation:
Let x = Michael's paycheque
Donald's paycheque = [tex]\dfrac13x[/tex]
Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]
Together, the three friends earned $2920 in one week.
[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]
Michael's paycheque = $ 1704
Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]
Jacob's paycheque = $ 568+80 = $ 648
A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?
Answers
Answer:
$2.3/gallon
Step-by-step explanation:
62.10 divided by 27 = 2.3
Answer:2.3$
Step-by-step explanation:
To find a unit rate you need to see how much for 1, so in this case you would divide 62.10 by 27 and get 2.3$ per gallon
A_____is a ratio that compares two measures
Answers
Answer:
rate
Step-by-step explanation:
A rate is a ratio that compares two different quantities that have different units of measure.
Please help me: which statement is not true?
Answers
Answer:
I'd say III. Could be wrong.
Answer:
#3
Step-by-step explanation:
KL is shorter in length compared to CD which means if you divide both by BC they will not equal each other
30 is 60% of what number
Answers
Answer:
the answer is 50
Step-by-step explanation:
x=30×100/60
x=50
What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Answers
Answer:
y = 1.25x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
( -4 , -3 ) ( 8 , 12 )
12 + 3 15 = 5
8 + 4 12 = 4
↑ slope = 5/4
↓ point slope form: y - y₁ = m ( x - x₁ )
y + 3 = 5/4 ( x + 4 )
y + 3 = 5/4x + 5
-3
y = 5/4x + 2
Ribbon costs $1.25 per meter. What would be the cost of 250 centimeters rounded to the nearest cent? HINT:
centimeters to meters before calculating the price
Answers
Answer:
The answer should be $3.125 or $3.13 rounded.
Step-by-step explanation:
First I divided 1.25 by 100 because 1 meter equals 100 centimeters.
1.25 ÷ 100 = 0.0125
Now that we know that it costs 0.0125 for 1 centimeter we multiply it by 250.
0.0125 * 250 = 3.125
Since it says to round to the nearest cent, the answer should be 3.13
Hope this helps! :)
What is Turtle divided by Kitten? YALL I NEED HELP ASAP ON THIS!!!!!!1
Answers
Answer:
rabbit!
Step-by-step explanation:
:-)
Hayden reaches into his dresser and pulls out a red shirt, but does not like it and throws in onto the bed. What is the chance that the next shirt he pulls out of the dresser will be Purple?
A. 2/10
B. 4 in 10 chance
C. 4 in 9 chance
D. 1/9 chance
Answers
Answer:
how many of each color are in the dresser?
Step-by-step explanation:
What is x- intercept of the equation 7x + 3y = 21
Answers
Answer:
no c xd estoy en séptimo no en otra cosa xd
Jim mad 2/3 of a pound weighed pizza. He gave the pizza to 6 friends. What was the weight of pizza each friend got?
Answers
Hope this helped !
PLZ HELPP REWARD BRIANLIEST
Answers
Answer:
x = 3 x = -4
x = 1 x = 8
Step-by-step explanation:
x² + x - 12
(x + 4) (x - 3)
x + 4 = 0
x = - 4
-----------
x - 3 = 0
x = 3
x² - 9x + 8
(x - 8) (x - 1)
x - 8 = 0
x = 8
-----------
x - 1 = 0
x = 1
PLEASE HELP ASAP!!!!! 50 POINTS!!!!
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply.
Answers
Answer:
6m,6m,13m
Step-by-step explanation:
Halla el Perímetro y Area de las siguientes figuras: 1) Triángulo de lados 6 cm × 8 cm × 5 cm, con base en 8cm y altura de 3,73 cm. 2) Circunferencia de diámetro 4,5 cm.
Answers
Answer:
1) El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
Step-by-step explanation:
El perímetro es una medida de la distancia alrededor de una figura y el área da una idea de qué tanta superficie cubre dicha figura.
Entonces, el perímetro es la medida obtenida como resultado de la suma de los lados de una figura geométrica plana. Es decir, el perímetro es lo que mide el contorno de la figura.
El área de un triángulo es igual a base por altura dividido por 2.
Siendo r el radio de la circunferencia, el perímetro será calculado como:
P=2*π*r
y el área será:
A=π*r²
1) En este caso, el perímetro es calculado como:
P= 6 cm + 8 cm + 5 cm= 19 cm
Y el área del triángulo es calculada como:
[tex]A=\frac{base*altura}{2} =\frac{8 cm*3.73 cm}{2}[/tex]
A= 14,92 cm²
El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) Siendo el diámetro un segmento de recta que va desde un punto de la circunferencia a otro y pasa por el centro del círculo y l radio la distancia desde el centro del círculo hasta un punto de la circunferencia, entonces, el radio es la mitad del diámetro.
Siendo el diámetro de la circunferencia 4,5 cm, entonces el radio r tiene un valor de 2,25 cm.
Entonces el perímetro será calculado como:
P=2*π*2,25 cm
P= 14,14 cm
y el área será:
A=π*(2,25 cm)²
A= 15,90 cm²
La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
12y + 29y +48y + 2ly + 13y + 7y
Answers
Answer:
Add all of the numbers then put a Y at the end.
Step-by-step explanation:
its just combining like terms, if their all Y. its jist adding with a letter at the end
here you go!
What is the difference in finding the exact vs approximate volume?
Answers
Answer:
An exact number is one that has no uncertainty. An example is the number of tires on a car (exactly 4) or the number of days in a week (exactly 7). An approximate number is one that does have uncertainty. ... The number can be the result of a measurement.
Step-by-step explanation: