Answer:
[tex]6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\
6n = 42 \: e. - - - division \: property \: of \: equality \: \\ [/tex]
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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Use the model to solve for x.
A) x = 2
B) x = 4
C) x = 8
D) x = 12
9514 1404 393
Answer:
B) x = 4
Step-by-step explanation:
You observe that the smaller number of (+1) tokens is 2 of them, found on the right side. Remove 2 (+1) tokens from each side to get ...
x + 4 = 2x
The smaller number of (x) tokens is 1, found on the left side. Remove 1 (x) token from each side to get ...
4 = x . . . . . matches choice B
_____
Comment on this approach
In general, this is a decent approach to use for solving any linear equation. You may find that x and number tokens end up on the same side of the equal sign (with 0 on the other side). Then you need to add some number of (-1) tokens to both sides to cancel the ones on the side with x.
At the end, you may need to split the problem evenly into equal parts according to the number of times x appears. (If this had been x+6 = 3x+2, then you would end with 4=2x. Splitting that into two equal parts, each would be 2=x.)
HELP PLEASE ASAP
Which of the following are irrational numbers?
55
53
✓20
71
Submit
Answer: √20
Step-by-step explanation:
4.47213595 (the 5 repeats)
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
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Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation:
An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Answer:
4√3cm^2
Step-by-step explanation:
we know that the area of equilateral triangle is √3/4a^2
Jose and his mother decide to bake a cake for his Father's birthday. Jose notices that after mixing the cake batter and placing it in the oven he says bubbles forming in the cake as it begins to rise. What explains this Phenomenon? A. Physical Change B. Chemical Change C. Neither physical nor chemical change D. Both physical and chemical change
Answer:
B) Chemical Change
Step-by-step explanation:
Physical change only changes the physical appearance of good, their chemical properties remaining same. These are usually reversible. Eg : Cutting a cake
Chemical change changes the physical composition of the product(s) involved. These are usually not irreversible. Eg : Baking of a cake, getting bubbles during bake process meanwhile
Which of the following can be concluded given Z1 a ZT?
4
3/2
5
a
please help me? im desperate!
Answer:
The same sign
Step-by-step explanation:
write an equation of a line passing through point p(-2, 6) that is parallel to the line x= -5
Answer:
x= -2
Step-by-step explanation:
x = -5 is a vertical line, so a line parallel would also have to be a vertical line
It goes through the point ( -2,6)
The x coordinate -2
So a line parallel would be x= -2
Answer:
x= -2
Step-by-step explanation:
Can someone send me the answer to the question in the photo? (with solutions)
Answer:
This is so easy question .
I can do.
in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p
The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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Find the value of each variable.
Answer:
19. x = 65
20. x = 12
21. x = 35, y = 85
Step-by-step explanation:
19. 2x -10 = 120
2x (-10 + 10) = (120 +10)
2x/2 = 130/2
x = 65
20. 2x + 4x + 108 = 180
6x + (108 - 108) = (180 - 108)
6x/6 = 72/6
x = 12
21. 2x + 25 = 3x - 10
2x + (25 - 25) = 3x (- 10 - 25)
(2x - 3x) = (3x - 3x) - 35
-x/-1 = -35/-1
x = 35
3x - 10 + y = 180
3(35) - 10 + y = 180
105 - 10 + y = 180
(95 - 95) + y = (180 - 95)
y = 85
What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6
Step-by-step explanation:
option b is the correct answer
What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?
Answer:
y=1/3-1 ...............
Given the function f(x) = 7x + 2, find x when f(x) = 31.
0
Plz help
Answer:
x = [tex]\frac{29}{7}[/tex]
Step-by-step explanation:
Given f(x) = 7x + 2 and f(x) = 31 then equate the right sides
7x + 2 = 31 ( subtract 2 from both sides )
7x = 29 ( divide both sides by 7 )
x = [tex]\frac{29}{7}[/tex]
2/15 of an airline's flights are international. The airline's flights are equally divided among 8 countries. What fraction of the airline's flights are to each country? If the airline has 2700 flights in all, how many are international? How many are not international? How many are to each of the 6 countries?
Answer:
The fraction of the airline's flights for each country is 1 /60
The number of international airline flights is 360 flights
The number of flights for each of the 8 countries is 45 flights
Step-by-step explanation:
Given;
international airline's flights = 2/15
number of countries = 8
total number of the airline flight
The fraction of the airline's flights for each country;
[tex]= \frac{2}{15}*\frac{1}{8} \\\\ = \frac{1}{60}[/tex]
The number of international airline flights;
[tex]= \frac{2}{15} *2700\\\\= 360 \ flights \ are \ international[/tex]
The number of flights for each of the 8 countries;
[tex]= \frac{1}{8} *360\\\\= 45 \ flights \ \\\\OR\\\\= \frac{1}{60}*2700\\\\ = 45 \ flights[/tex]
Solve for x.
z=(x-5)k
Answer:
x=z/k+5
Step-by-step explanation:
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
PLZ HELP ME HELP PLZ
Answer:
2000
Step-by-step explanation:
that i the answer becuase you multply
The United States Census collects data on many variables about individuals and households.
Which variables are quantitative?
Select all that apply.
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18.
Number of minors in the household
Family role of respondent
Number of family members residing at the address
Ethnicity
Zip code
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will
it take 8 lumberjacks to cut down 35 mahogany trees working at the same rate?
B. 1}hr
c.hr
A. 3hr
D. 21hr
9514 1404 393
Answer:
3.5 hr
Step-by-step explanation:
We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...
(lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35
Multiplying by 35/8, we have ...
(35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5
It will take 8 lumberjacks 3.5 hours to cut down 35 trees.
Solve the compound inequality.
3<2−3≤12
3
<
2
p
−
3
≤
12
3<2−3≤12
3
<
2
p
−
3
≤
12
Group of answer choices
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
$$66<≤15
6
<
p
≤
15
6<≤15
6
<
p
≤
15
$$3
Answer:
I would say either the 2,3,4,or 5
X+7
——-=9
3
Can you explain step by step on how to solve this problem?
Answer:
w=−7
Step-by-step explanation:
34+21=−11(w+2)
55=−11(w+2)
-55/11 =w+2
−5=w+2
−5−2=w
−7=w
Solve this 8x+5/2=13
Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16
Step-by-step explanation:
I need helpppp?!!!
What is the slope of the line??
Please give right answer
Answer: -1/2
Step-by-step explanation:
Slope=rise/run
Up 1 and to the left 2 which makes it a negative
Expand & simplify 4(t+2)+6(t-4)
Answer:
10t - 16
Step-by-step explanation:
4(t + 2)+ 6(t - 4)
4t + 8 + 6t -24
10t - 16
Will make brainliest!
Please explain what I did wrong , and please give me the correct answer thank you :)
Answer:
y = -x + 5 or y = -1x + 5
you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk
Step-by-step explanation:
5 (6 - x) = 5 (1 + y)
30 - 5x = 5 + 5y
-5 - 5
25 - 5x = 5y
5y = -5x + 25
5 5
y = -x + 5
338 points in 16 games. how many points did they make per game?
Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5
Answer:
[tex]\fbox{y = -3x + 5}[/tex]
Step-by-step explanation:
You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];
where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]Plugging these values into slope-intercept form gives:
[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.
The point that the line passes through is the y-intercept: [tex](0,5)[/tex].
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]
Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.
[tex]y-(5)=-3(x-(0))[/tex]Simplify the equation on both sides.
[tex]y-5=-3(x)[/tex]Add 5 to both sides of the equation.
[tex]y=-3x+5[/tex]This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.
The answer is [tex]D) \ $y = -3x+5[/tex].