The following equation is true for all real values of n for which the expression on the left is defined, and B is a polynomial expression.
Answers
Answer:
6n^3
Step-by-step explanation:
3/3 *9^10/453*7+sqrt175
The polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
What is Polynomial expression?Given:
[tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]
To find:
the value of B is a polynomial expression.
Step 1
Let, [tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]
[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$[/tex]
Simplifying the above equation as
[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$[/tex]
then, we get
[tex]$\frac{B}{6 n^{3}}=1$$[/tex]
Step 2
Multiply both sides by [tex]$6 n^{3}$[/tex], then we get
[tex]$\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$[/tex] where, [tex]\quad n \neq 0[/tex]
Simplifying the equation as
[tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex]
The value of [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
Therefore, the polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
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Related Questions
WORTH 50 POINTS AND BRAINLIEST NO FAKE ANSWERS NO PLAGIARISM OR WILL REPORT ALSO WRITE 4 SENTENCES. A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short paragraph, explain what you can conclude about the four tangent segments?
Answers
Answer and Step-by-step explanation:
These four tangents are all equal in length. By definition, you can draw two tangent lines from a point outside a circle that will touch the circle. These two tangent lines are always congruent. Looking at the two leftmost lines, they are tangents of the nickel, so we can say that they're congruent. Looking at the middle two lines, we see that they must be equal, as well, since they're tangent lines to the dime, but we notice that the second leftmost line is shared by the nickel and the dime. So, these three must all be congruent. By similar reasoning, the rightmost line is congruent to the other three. Thus, all four tangent lines have the same length.
Answer:
Tangents drawn from the same point are equal in length.
Since the middle coin share tangents with the coins on either sides, all tangents are equal in length.
Micheal brought 15 pounds of flour for $6. How many dollars did he pay per pound of flour?
Answers
Answer:
$.40 per pound
Step-by-step explanation:
6/15
The bottom number (if that were to be in fraction from) would be the number you want as 1. So you want the price of ONE pound of flour.
Hope I was helpful! :)
5/4=y−14 help meeeee
Answers
Answer:
y= 61/4
Step-by-step explanation:
-y=-14-5/4
-y=-61/4
-1(-y=-61/4)
y= 61/4
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3
Answers
Awnser
8 gallons of cans
Lucy and Zachary work at a furniture store. Lucy is paid $200 per week plus 7.5% of her total sales in dollars, x x, which can be represented by g ( x ) = 200 + 0.075 x g(x)=200+0.075x. Zachary is paid $233 per week plus 6% of his total sales in dollars, x x, which can be represented by f ( x ) = 233 + 0.06 x f(x)=233+0.06x. Determine the value of x x, in dollars, that will make their weekly pay the same.
Answers
Answer:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
Step-by-step explanation:
For this case we have the following function for the total sales of Lucy is given by:
[tex] g(x) = 200 +0.075 x[/tex]
And the function for the total sales of Zachary is given by:
[tex] f(x) =233 +0.06 x[/tex]
And we want to determine the value of x, in dollars, that will make their weekly pay the same, so we can set equal the two functions:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
Rewrite the equation by completing the square.
x^{2}-14x+33 = 0
Answers
Answer:
Step-by-step explanation:
x^2 - 14x = -33
14/2= 7
(7)^2 = 49
x^2 - 14x + 49 = -33 + 49
x^2 -14x + 49 = 16
(x-7)^2 - 16
Answer:
x = 11
x =3
Step-by-step explanation:
I hope it helps
Which situation describes INDEPENDENT events? A) One student is chosen from Classroom A, then a student is chosen from Classroom B. B) One card is chosen from a standard deck, it is set aside, then a second card is drawn. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet.
Answers
Answer:
Step-by-step explanation:
A) One student is chosen from Classroom A, then a student is chosen from Classroom B
the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause
If f(x) = x + 2 and g(x) = 3x + 4, then f(g(x)) = ? A) 3x + 6 B) 3x + 10 C) 3x2 + 6x + 4 D) 3x2 + 10x + 6
Answers
Answer:
A. 3x+6
Step-by-step explanation:
To answer this problem you would want to replace the g(x) equation with for the x in the f equation and solve/simplify.
f(x)=x+2, g(x)=3x+4
(3x+4)+2
3x+6
During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.
Answers
Answer:
I think it might be five feet
Step-by-step explanation:
I'm smart<3
The average change in depth is 5 feet/ second.
It is required to find the average change in depth per second.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]
Scuba diver's rate of change
[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.
Therefore, the average change in depth is 5 feet/ second.
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What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds
Answers
Answer:
1/3 = 0.3333 = 33.33%
Step-by-step explanation:
In the six-sided die we have 6 possible values, from 1 to 6.
To roll a number less than 5, the options are: 1, 2, 3 or 4.
We have 4 options, so the probability is P = 4/6 = 2/3
To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:
complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%
(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)
Answer:
1/3
Step-by-step explanation:
I took the test
Find the distance between (-10,-7),(-8,1)
Answers
Answer:
6.325
Step-by-step explanation:
find the zeros of the function f(x)=8x^2 +32
Answers
Answer: no solution
Step-by-step explanation:
[tex]8x^{2} +32=0[/tex]
Factor out 8
[tex]8(x^{2} +4)=0[/tex]
no solution
Why?
Think about the graph, [tex]x^{2}[/tex] shifted up 4 has no zeros, even with a vertical stretch of 8.
70 % of 90 please give all right answers this is the last question of this assignment and i dont want to fail
Answers
10%= 90 divided by 10= 9
9*7=63
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005\,\text{cm}0.005cm0, point, 005, start text, c, m, end text in diameter, and Eduardo's strand was 0.012\,\text{cm}0.012cm0, point, 012, start text, c, m, end text in diameter. How much greater was the diameter of Eduardo's hair?
Answers
Answer:
30x2010x943
Step-by-step explanation:
219x29192
Answer:
0.007
Step-by-step explanation:
EVERYTHING IS DUE IN 2 HOURS AND I CANT FIGURE THIS OUT AND CANT CONTINUE WITHOUT IT PLEASE HELP a)find the probability that a randomly selected student from ms laytons class failed the test
b) find the probabbility that a randomly selected student who failed the test from mrs d’s class.
Answers
Answer:
Step-by-step explanation:
Answer -
a) 50% or 1/2
Explanation -
12+12=24
therefore, 12/24 = 1/2 which is 50%
b) 46.43% or 13/28
Explanation -
15+13=28
therefore, 13/28 which is 46.6%
A car odometer showed 6,437.5 miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven 422.3 miles?
Answers
Answer:
The odometer showed 6,015.2 miles at the beginning of the trip.
Step-by-step explanation:
The odometer increases according to the number of miles traveled.
Before the trip, it showed x miles.
During the trip, the car was driven 422.3 miles.
After the trip, it showed 6,437.5 miles.
So
x + 422.3 = 6437.5
x = 6437.5 - 422.3
x = 6,015.2
The odometer showed 6,015.2 miles at the beginning of the trip.
Which expression is equivalent to mn+z
Answers
The vertex of this parabola is at (-3, -2). Which of the following could be its equation?
A) y= -2(x +3)^2 +2
B) y= -2(x +3)^2 -2
C) y= -2(x -3)^2 +2
D) y= -2(x -3)^2 -2
Answers
in ΔBCD, the measure of ∠D=90°, CB = 89, BD = 80, and DC = 39. What ratio represents the cosine of ∠B?
Answers
Answer:
80/89
Step-by-step explanation:
This is the real answer!! No tricks
The ratio to represent the cosine of ∠B is,
⇒ 80 : 89
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔBCD,
The measure of ∠D=90°, CB = 89, BD = 80, and DC = 39.
Now, We know that;
⇒ cos θ = Base / Hypotenuse
Her, By the given information, we get;
⇒ cos B = Base / Hypotenuse
⇒ cos B = BD / CB
⇒ cos B = 80 / 89
Thus, The ratio to represent the cosine of ∠B is,
⇒ 80 : 89
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Eight hotdogs at the basketball park cost $28 how much does one hotdog cost
Answers
A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.
Answers
Answer:70
Step-by-step explanation:
Answer:
this is SUPER late but it is 1/2 x 632
Step-by-step explanation:
2x-y+5=8 in slope-intercept form please!
Answers
Answer:
y= 2x - 3
Step-by-step explanation:
slope intercept form: y= mx + b
Answer:
y= 2x-3
Step-by-step explanation:
2x-y+5=8
-y= 8-2x-5
-y=-2x+3
-1(-y=-2x+3)
= y= 2x-3
Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model
Answers
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
20 feet long 6 feet widthA reasonable scale and make a scale drawing of the porch could be :
1 inch =4 feet
<=> the length side: 20:4 = 5 inches
<=> the width side: 6:4 = 1.5 inches
Hope it will find you well.
Change 125 mm into centimetres.
Answers
Answer:
12.5 cm
Step-by-step explanation:
divide 125 by 10 to get 12.5
Answer:
12.5 cm
Step-by-step explanation:
10 mm=1 cm
so 125 mm=125:10 cm=12.5 cm
Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answers
Answer:
sky im going with A
Step-by-step explanation:
Find the area of the figure
Answers
Answer:
11000
Step-by-step explanation:
Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6 nietos en la feria. ¿Cuánto dinero gastó Juanita?
Answers
Answer:
$54
Step-by-step explanation:
she had 6 grandchildren and she used $9 for one grandchild so we multiply
9 x 6 = $ 54
What does it mean for points to be colinear?
Answers
Answer:
Three or more points that lie on the same line are collinear points .
Step-by-step explanation:
What is the value of the expression (2 Superscript 4 Baseline) squared?
Answers
Answer:
{(2^4) }^2
=16^2
= 256
................
Answer:
256
Step-by-step explanation:
Please help I’ve been desperate I will give brainliest
Answers
Answer:
102 degrees (problem #5)
Step-by-step explanation:
5. 78 = 1/2 ((360-x)-(x)) -->
156 = 360 - 2x -->
-204 = -2x -->
102 = x
