Answer:
72
Step-by-step explanation:
In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.
What is the quotient? -3/8 divided by -1/4
Jae is constructing an open box from a piece of cardboard that is 9 in. Wide and 12 in. Long. Jae cuts squares of equal size from each corner of the cardboard, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x.
Answer:
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
Step-by-step explanation:
Geometrically speaking, the volume of the open box ([tex]V[/tex]), measured in cubic inches, is described by the volume of a right parellelepiped. That is:
[tex]V = w\cdot l \cdot h[/tex] (1)
Where [tex]w[/tex], [tex]l[/tex] and [tex]h[/tex] are the width, length and height of the open box, respectively, measured in inches. Please notice that width of the open box is the width of the piece of cardboard ([tex]w'[/tex]), measured in inches, minus two times the side of the cut squares ([tex]x[/tex]), measured in inches, length of the open box is the length of the piece of cardboard ([tex]l'[/tex]), measured in inches, minus two times the side of the cut squares and the height of the open box is the side of the cut squares. That is:
[tex]w = w' -2\cdot x[/tex] (2)
[tex]l = l' - 2\cdot x[/tex] (3)
[tex]h = x[/tex] (4)
By applying (2), (3), (4) in (1), we expand and simplify the volume function:
[tex]V = (w'-2\cdot x)\cdot (l'-2\cdot x)\cdot x[/tex] (5)
If we know that [tex]w' = 9\,in[/tex] and [tex]l' = 12\,in[/tex], then the equation above is:
[tex]V = (9-2\cdot x)\cdot (12-2\cdot x)\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-24\cdot x-18\cdot x+4\cdot x^{2})\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-42\cdot x +4\cdot x^{2})\cdot x \,\,\,[in^{3}][/tex]
[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex]
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
can someone help me with thiis?
In a circle with radius 0.2,
an angle intercepts an arc
of length 0.1. Find the
angle in radians to the
nearest 10th
Answer: 0.5
Step-by-step explanation:
PLLLLSSS HELLPP
Use the substitution method to solve the system of equations.
8x + 5y = 9
y = x + 7
Answer:
point form: (-2,5)
Step-by-step explanation:
8x + 5y = 9
y = x + 7
sub. y into the first one
8x + 5(x + 7) = 9
8x + 5x + 35 = 9
13x + 35 = 9
solve for x
13x = -26
x = -2
solve for y
y = x + 7
y = -2 + 7
y = 5
Answer: I believe the answer would be (-2, 5) Hope this helped!
Solve - 2x - 7 > 5x + 14.
O A. x < -3
B. X > -3
C
C. x < -5
D. I > -5
please help
Answer:
hope this is not to hard to understand
Answer: Thanks for the points
Step-by-step explanation:
A rectangular prism is 7 inches long 10 inches wide and 6 inches tall a what is the length of its longest diagonal to the nearest 10th of an inch
Answer:
c
Step-by-step explanation:
Please help its7to10 it’s easy but I’m lazy
Answer:
sure
Step-by-step explanation:
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9 + 6)
9(1 + 54)
9(1) + 9(54)
Answer:
A-9(1=6)
Step-by-step explanation:
Correct on edg
If the pattern continues, how many tiles would be in the 62nd stage?
A. 127
B. 129
C. 131
D. 307
Last one plsssssssssss help
jamie and rhyns share some money in the ratio of 2:3.jamie gets 40 pounds. how much does rhys get.
Answer:
60 pounds
Step-by-step explanation:
The ratio of Jamie to Rhys is 2 to 3.
Jamie gets 40 pounds.
40 pounds is 20 times 2, so Rhys also has to get 20 times the amount in the ratio.
20 * 3 = 60
Answer: 60 pounds
A Game Center has a $5 admission fee and charges $0.50 for each game played. Write an equation that represents the cost, C, in dollars, of playing n games at this Game Center. Explain your reasoning.
Can someone please help me it’s due in a few minutes.
Answer:
150
Step-by-step explanation:
go submit it
In 1927, Charles Lindburgh had his first solo flight across the Antlantic Ocean. He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
Answer:
107.76
Step-by-step explanation:
We are told in the above question that:
He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
We solve the above question by:
33.5 hours = 3610 miles
1 hour = x miles
Cross Multiply
33.5 hours × x miles = 3610 miles × 1 hour
x miles = 3610 miles × 1 hour/33.5 hours
x miles = 107.76119403 miles
Approximately = 107.76 miles per hour
Therefore, he flew 107.76 miles each hour
Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.
Divisor:
A. –3
B. 3
C. x – 3
D. x + 3
Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3
Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3
Answer:
Divisor:D
Divedend: A
Quotient:C
Step-by-step explanation:
The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)
What is synthetic division?Synthetic division is a method for manually performing Euclidean division of polynomials.
Given that polynomial divisor, dividend and quotient ;
The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively
Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)
For more references on Synthetic division, click;
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Help megagaagsgsh fdndjfjdd
Step-by-step explanation:
a) The graph shows how many adults and youths attended the movies on Friday, Saturday and Sunday.
b) On Friday, more adults attended the movies then youths. On Saturday and Sunday, more youths attended the movies then Adults.
c) 1) Saturday is the most popular day to go to the movies because there was 500 adults and 650 youths for a total of 1150 people. Friday had 950 people and Sunday had 800 people.
Aaron is bicycling on a bike trail at an average of 10 miles per hour. Jada starts cycling on the same trail 30 minutes later. If Jada averages 16 miles per hour, how long would it take her to pass Aaron?
Answer:
36 miles per hour
Step-by-step explanation:
36 miles per hour
De acuerdo con una encuesta se determino que en una region hay igual numero de personas lic en administracion comercio servicio de salud y servicio municipal ademas se encontro que 35% de los administrativos 25% de los comerciantes 20% de los servidores de salud y 15% de servicio municipal son mujeres cual es la probabilidad de que una mujer escogida al azar del grupo sea administradora
Answer:
La probabilidad de que una mujer sea administradora es de 0,35
Step-by-step explanation:
Sean A B, C y D los eventos de las mujeres administrativas, comerciantes, trabajadoras de salud y proveedoras de servicios municipales.
Sus probabilidades están dadas por
P (a) = 35% = 0,35
P (b) = 25% = 0,25
P (c) = 20% = 0,2
P (d) = 15% = 0,15
Como los eventos son independientes, la probabilidad conjunta sería
P (B∩C∩D) = P (D) * P (B) * P (C) = 0.25 * 0.2 * 0.15 = 0.0075
P (A / B∩C∩D) = P (A∩B∩C∩D) / P (B∩C∩D)
= 0,35 * 0,0075 / 0,0075 = 0,35
Por lo tanto, la probabilidad condicional de obtener la mujer administradora es la misma que la probabilidad individual de obtener la administradora, ya que los eventos son independientes.
La probabilidad de que una mujer sea administradora es de 0,35
English
Let A B, C and D be the events of the women administrative, merchants, health workers and municipal services providers.
Their probabilities are given by
P (a) = 35% = 0.35
P (b)= 25% = 0.25
P (c) =20% = 0.2
P (d) = 15 % = 0.15
As the events are independent then the joint probability would be
P (B∩C∩D)= P(D) * P(B)* P (C) = 0.25* 0.2*0.15= 0.0075
P(A/B∩C∩D) = P(A∩B∩C∩D)/P(B∩C∩D)
= 0.35*0.0075/ 0.0075= 0.35
Therefore the conditional probability of getting the administrator woman is the same as the individual probability of getting the woman administrator as the events are independent.
Probability of woman administrator is 0.35
hey will give brainiest if correct
3 inches i agree too 2020
Do imaginary numbers follow the rules of algebra?
Answer:
no
Step-by-step explanation:
Brantley tosses a ball out of a window that is 75 feet in the air. Its initial velocity is 12 feet per second. The path of the ball is represented by h=-16t^2+12t+75. How long does it take for the ball to hit the ground to the nearest hundredth?
Answer:
[tex]t = 2.57[/tex]
Step-by-step explanation:
Given
[tex]h=-16t^2+12t+75[/tex]
Required
Determine the time to hit the ground
The ground is at point 0.
So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t
[tex]0=-16t^2+12t+75[/tex]
Multiply through by -1
[tex]0=16t^2-12t-75[/tex]
Reorder
[tex]16t^2-12t-75 = 0[/tex]
Solve using quadratic formula:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16; b = -12; c = -75[/tex]
[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]
[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]
[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]
[tex]t = \frac{12\±70.31}{32}[/tex]
Split:
[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]
[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]
But time (t) can't be negative;
So, we make use of only
[tex]t = \frac{82.31}{32}[/tex]
[tex]t = 2.57[/tex]
Hence, the time to hit the ground is 2.57 seconds
x= 7
what does the following expression equal:
3+6x-12x+14
Answer:
-25
Given:
x=7
Step-by-step explanation:
3+6x-12x+14
⇒ 3 + 6(7) - 12(7) + 14
⇒ 3 + 42 - 84 + 14
⇒ 45 - 84 + 14
⇒ -39 + 14
⇒ -25
hope you understood!
The property taxes on a house were $2610. What was the tax rate if the house was valued at $290,000? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.
Hi
2 610 / 290 000 *100 = 0.9 %
Less than 1%
The tax rate if the house was valued at $290,000 was Less than 1%.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that property taxes on a house were $2610.
We need to find the tax rate if the house was valued at $290,000.
Therefore,
2610 / 290 000 x 100 = 0.9 %
Hence, the tax rate if the house was valued at $290,000 was Less than 1%.
Learn more about multiplications;
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A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
The original price of her purchase was $65.
Step-by-step explanation:
From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:
$13 → 20%
x ← 100%
x=(13*100)/20
x=1300/20
x=65
According to this, the answer is that the original price of her purchase was $65.
find the explicit formula for the following sequence.
15, 29, 49, 75, 107,....
Answer:
Step-by-step explanation:
We are given the sequence
[tex]15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0[/tex]
Since we had to find the differences twice, it is a second degree polynomial
[tex]y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\[/tex]
so,
[tex]y = 3n^2 + 5n + 7[/tex]
7th grade math
please help, I will give brainliest
-19 = -2/3 x
find the value of x
Answer:
-19=-2/3x
3*-19=-2x
-57=-2x
-57/-2=x
57/2=x
x=28.5
Step-by-step explanation:
Answer:
x = [tex]\frac{57}{2}[/tex]
Step-by-step explanation:
Given
- 19 = - [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
- 57 = - 2x ( divide both sides by - 2 )
[tex]\frac{-57}{-2}[/tex] = x , that is
x = [tex]\frac{57}{2}[/tex]
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a number less than 4?
Write your answer as a fraction or whole number.
Submit
Answer:
landing on a 4 would be 1/3 chance
and
landing on a number less than 4 would be 2/3 chance
Step-by-step explanation:
The probability of landing on a 4 is 1/3 and then landing on a number less than 4 is 2/3.
What is probability?Probability is the chance of happening an event or incident.
The probability of landing on a 4 is 1/3.
Then, the probability on landing on a number less than 4 = 2/3.
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what is 15/8 simplyfied ?
Answer:
mixed number 1 7/8 or decimal form 1.875
Answer:
it cant be simplified but it can be converted into a mixed number. which is
1 7/8. hope this helps <3
Step-by-step explanation:
Find f(-3) if f(x) = x^2.
- -9
- -6
- 6
- 9
Answer:
Plz I don't understand everything