The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.
Answers
Related Questions
Help me ! Solve problems working with imaginary numbers
Answers
Answer:
1) 8 + 2i
2) -13
3) 15 + 3i
4) 1
5) 24 - 10i
Step-by-step explanation:
Working with imaginary numbers is similar to working with a variable when it comes to addition and subtraction, so for problems 1 and 3, it is a matter of combining like terms.
1) The like terms are 7i and -5i; 5 and 3. We can combine them.
8 + 2i
2) We can start to compute the problem by noticing it is a special product of difference of squares. The expression can also be written as:
(3i)^2 - (2)^2
9i^2 - 4
i is defined as the square root of negative 1, so i^2 is -1. We can substitute that in:
9(-1) - 4
-9 - 4
-13
3) We can combine the like terms, 12i and -9i; 5 and 10:
15 + 3i
4)The powers of i repeat every four numbers. For example:
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
i raised to a power divisible by four is always 1, so i^24 is 1.
5) We can start by normally distributing in this problem:
12 - 18i + 8i - 12i^2
As said before, i^2 is -1:
12 - 10i + 12
24 - 10i
Suppose you take a survey of all the schools in your state. What would you expect the relationship between the number of students and the number of teachers in each school to be?
Answers
Answer:
25 students:1 teacher
Step-by-step explanation:
in ever class in my school there is 1 teacher and we have between 20 and 30 students therefor 20 + 30 / 2 is 25
Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.
Answers
Answer:
mm what the de une wtah boaim msua
help me find the perimeter of this square. if you can do it step by step please!
Answers
Answer:
396
Step-by-step explanation:
It's a square.
That means that all four sides are equal.
So the two expressions you have been given are equal.
2.5x + 76.5 = 12x - 9 Subtract 2.5x from both sides.
-2.5x -2.5x
76.5 = 9.5x - 9 Add 9 to both sides
9 9
85.5 = 9.5x Divide by 9.5
85.5/9.5 = x
x = 9
That is just the value for x. It is not the answer
Side = 12x - 9
Side = 12*9 - 9
Side = 108 - 9
Side = 99
The perimeter = 4 * Side
The perimeter = 4 * 99
Perimeter = 396
When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t)=0.9t^3−0.6t^0.5+10, where t is the time in hours after 6 AM and f(t) is the number of barrels of fuel oil. Step 1 of 3 : How much fuel is consumed by 11 AM? Round your answer to 2 decimal places.
Answers
Step-by-step explanation:
the answer is in the image above
The amount of oil consumed in 5 hours is 120.5 barrels.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is an equation, of fuel consumption in a factory from 6 am to 6 pm,
The equation =
f(t) = 0.9t³-0.6[tex]t^{0.5}[/tex]+10
where t is the time in hours after 6 am and f(t) is the number of barrels of fuel oil.
We need to find the how much oil is consumed by 11 am,
So, the hours between 11 am to 6 am = 11-6 = 5 hours
So, we need to find the oil consumption in 5 hours, so for the same put t = 5, in the equation,
f(5) = 0.9(5)³-0.6[tex](5)^{0.5[/tex]+10
= 112.5-2+10
= 120.5
Hence, the amount of oil consumed in 5 hours is 120.5 barrels.
Learn more about equations, click;
https://brainly.com/question/29538993
#SPJ2
서울기업(주)는 2X20년 7월 5일에 장기간 보유 목적으로 원주기업(주)의 주식 1,200주를 1주당 15,000원에 매수하고 수표를 발행하여 매수대금을 지급하였다. 취득 부대비용은 없다. 이 1,200주는 원주기업(주)이 발행한 주식의12%에 해당하고, 서울기업(주)은 이를 FVOCI 측정 추자주식으로 분류하였다. 서울기업(주)은 원주기업(주) 주식 외에는 다른 회사 주식을 보유하고있지 안다. 다음은 원주기업(주) 주식에 대한 자료이다.
(1) 2X20년 말에 원주기업(주) 주식의 1주당 주가는 14,000원이었다.
(2) 2X20년 3월 25일에 원주기업(주)으로부터 배당금 150만원을 현금으로 받았다.
(3) 2X21년 말에 원주기업(주) 주식의 1주당 주가는 18,000원이었다.
(4) 2X22년 4월 20일에 서울기업(주)은 원주기업(주) 주식을 주당 17,500원에 전부 매각처분하고 처분대금을 현금으로 받았다.
물음: 서울기업(주)의 2X21년 말 재무상태표에 표시되는 장기투자주식 금액과, 기타포괄손익누계액 금액 그리고 포괄손익계산서에 표시되는 기타포괄손익(평가손익)은 각각 얼마인가?
Answers
Answer:
ディーズナッツ
Step-by-step explanation:
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard from, given that the point-slope form is y+1=2/3(x-8)
____x+____y=____
Answers
Answer: 2/3x-y=19/3
Step-by-step explanation:
Points are useless since we already know the point slope form and we can just simply that
y+1=2/3(x-8)
y+1=2/3x-16/3
y=2/3x-19/3
2/3x-y=19/3
YO LISTEN UP I GIVE SOMEONE 50 POINTS IF THEY ANSWER THIS QUESTION. answer it correctly
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answers
Answer:
.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
HELP PLSSS I CANT FAIL!!Which parent function is represented by the table?
ху
-22
-11
00
11
22
A. f(x) = |X|
B. f(x) = 2x
c. f(x) = x
D. f(x) = x2
Answers
Answer:
C. f(x)=|x|
Step-by-step explanation
Two straight lines denotes the mod which is a type of function which means it will always gives us a positive value (output) even on Nagative input, shown in the table, -2 2, -1 1, 0 0
For example,
|2|=2, |-2|=2
|1|=1
|-1|=1
Use the quadratic formula to solve x2 - 5x - 2 = 0.
O A. x=5+ y23
O B. x=2+2
O C. - x - 25+, VT
O D. x = 5 + 917
Answers
Answer:
A
Step-by-step explanation:
Note: I suppose you typed the question wrong, thus I calculated the question in the picture
[tex]x = \frac{ - b + - \sqrt{{b}^{2} - 4ac} }{2} \\ = \frac{5 + - \sqrt{25 - 4 \times - 2 \times 1} }{2} \\ = \frac{5 + - \sqrt{25 + 8} }{2} \\ = \frac{5 + - \sqrt{33} }{2} [/tex]
The value of solution of quadratic function is,
⇒ x = (5 ± √33) / 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The quadratic function is,
⇒ x² - 5x - 2 = 0
Now, We can simplify as;
⇒ x² - 5x - 2 = 0
⇒ x = - (- 5) ± √(-5)² - 4×1×- 2 / 2
⇒ x = (5 ± √33) / 2
Thus, The value of solution of quadratic function is,
⇒ x = (5 ± √33) / 2
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Given: x - 8 > -3.
Choose the solution set.
Answers
Answer:
X=-2,-1,0,1,2,3,4,5,6,
Step-by-step explanation:
IF 8 IS LARGER THAN -3 YOU COULD GET THE FOLLOWING ANSWER
Answer:
x>5
Step-by-step explanation:
move -8 to the right side, change the sign and solve:
x > - 3 + 8
x > 5
mong moi nguoi giup do
Answers
3.) If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.
Answers
3.) If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.
Solution:-A. Express the statement “y varies directly as x”, as y = kx .
B. Solve for k by substituting the given values in the equation.
[tex]\sf\rightarrow{y = kx}[/tex]
[tex]\sf\rightarrow{24 = 6k}[/tex]
[tex]\sf\rightarrow{K = \frac{24}{6} }[/tex]
[tex]\sf\rightarrow{K={\color{magenta}{4}}}[/tex]
Answer:-Therefore, the constant of variation is 4.C. Form the equation of the variation by substituting 4 in the statement y = kx. Thus , y = 4 x.
[tex]{\large{—————————————————————}}[/tex]
#CarryOnMath⸙
Do you guys know this
Answers
Answer:
Kindly check attached picture
Step-by-step explanation:
The expected graph is attached in the picture below :
Since additional fee is charged on only luggage exceeding 50 pound weight :
The inequality is :
Additional fee applied to :
Weight > 50
Hence x our arrows starts from 50 to the right of the number line
1)
Ay
X
1
A)
Nin
B) -2
2
C)
D) 2.
2
Answers
Answer:
A) -1/2
Step-by-step explanation:
the slope is defined by the ratio of y/x.
that means that for a change of a certain number of units in x, y changes this number of units.
e.g. a slope of 5/3 means, if x changes by 3 units, y changes by 5.
the graphic shows a line that goes "down" with increasing x.
that means the slope is negative.
that eliminates C and D.
and we see that when x increases by 2 units, y decreases by 1 unit.
that means the slope is -1/2.
For each of the following, shade the portion of the Venn diagram that illustrates the set. ( A ∩ B ) ∪ ( A ∩ C )
Answers
Answer:
Here's what that would look like on a venn diagram
Step-by-step explanation:
The name of the circle pictured is circle C
A. True
B. False
Answers
Answer:
TRUE IS THE ANSWER
Step-by-step explanation:
The name of the circle pictured is circle C is True statement.
What is Circle?A circle is a collection of points in a plane that are all equally spaced apart from one another. The radius is the distance from the centre, while the centre is the location of the point. The diameter is defined as twice the radius. A complete angle, which is equal to or radians, is the angle that a circle subtends from its centre.
we have a graph for a circle.
We know a circle many parts such as Center, Radius, Diameter, Chord, etc.
A circle usually know from its Center.
Also, the center of circle shows the point of circle.
Thus, the given statement is True.
Learn more about Circle here:
https://brainly.com/question/29142813
#SPJ2
You earn $36 for washing 6 cars. How much do you earn for washing 3 cars?
Answers
Answer:
18$
Step-by-step explanation:
36 divided by 6 is 6 dollars. this means you earn 6 dollars per car. multiply that by 3 cars and you get 18$.
Answer:
You earn $18 for washing 3 cars.
$36➗ 6= $6
$6x3= $18
What is the probability of spinning a natural number and a number less than 5?
Answers
Answer:
The probability of spinning a 5 or less is 1/8 or, you can say ⅛
Really Hope I helped! ♡♡♤♤♧♧
The probability of spinning a natural number and a number less than 5 would be 2/3.
What is probability?The probability exists the branch of mathematics involving numerical descriptions of how likely an event is to happen, or how likely it exists that a proposition is true. The probability of an event exists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 demonstrates certainty.
No of total outcomes =6
No of favorable outcomes=4 {1,2,3,4}
Therefore, Probability of getting a number less than 5 is= 4/6 = 2/3.
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ2
A plane Airport on Tuesday morning for a 755-mile,6- hour trip. For the first part of the tripthe average speed was 105 mphFor the remainder of the trip the average speed was 130 mph . How long did the plane fly at each speed ?
Answers
Answer:
105 miles / hour for 1 hour
130 miles / hour for 5 hours
Step-by-step explanation:
Part A
speed = 105 mphdistance = xtime = yPart B
speed = 130 mphdistance = 755 miles - xtime = 6 hr - yplane Part A: x = 105 *y
Plane Part B: 755 - x = 130*(6 - y)
Put 105*y into the equation for plane B
755 - 105*y = 130*(6- y) Remove brackets on the the right.
755 - 105y = 780 - 130y Add 130y to both sides
755 - 105y + 130y = 780 Combine left
755 + 25y = 780 Subtract 755 from both sides
25y = 780 - 755
25y = 25 Divide by 25
y = 25/25
y = 1
The plane travelled 1 hour at 105 mile / hour
The plane travelled 5 hour at 130 mile / hour
Check
1 hour for a distance of 1 hr * 105 mph = 105 mile
5 hour for a distance of 5 hr*130 mph = 650 miles
Total distance = 755 miles
Remark
This is a very neat problem. I don't think I've ever seen this variation. It is a little long, but it is well worth your time.
16. Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)
Answers
3: it is, because the sum of the digit, 2+4+7+2=15, is divisible by 3
4. it is, because the last 2 digits, 20, is divisible by 4
5. it is, because last digit is 0
6. it is, because it is divisible by 2 and 3
8. it is, because the last 3 digits, 720, is divisible by 8
9. It is not, because the sum of the digits, which is 15, is not divisible by 9
10. It is, because the last digit is 0
11. It is not, because the difference of alternating digits, which is 2+0+2-4-7-0, is not divisible by 11
There are twelve empty rooms in the office of Acme Softwares, inc. Alif and Laila joins the company. How many ways can they be assigned a room each from these twelve
Answers
Answer:
132.
Step-by-step explanation:
That would be the number of permutations of 2 from 12.
12P2 = 12! / (12-2)!
= 132.
The perimeter of the figure below is 41.6 in. Find the length of the missing side. (Note: diagram is NOT to scale)
Answers
Answer:
[tex]{ \tt{let \: that \: unknown\: side \: be \: x}} \\ { \boxed{ \tt{perimeter = (8 \times side)}}} \\ 41.6 = (3.2 \times 2) + (5.9 \times 5) + x \\ x = 5.7 \:in \\ { \bf{answer : 5.7 \: inches}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
Liner equation with a rapid change over time
Answers
Answer:
y=130(2.5) ^(x-1)
Step-by-step explanation:
This should give you an exponential growth curve. I'm assuming this is what you meant by "rapid change over time".
Simplify the expression
Answers
Answer:
6
Step-by-step explanation:
3 sqrt(20) / sqrt(5)
We know that sqrt(a) /sqrt(b) = sqrt(a/b)
3 sqrt(20/5)
3 sqrt(4)
3 *2
6
33. The perimeter of a room is 22m.lf
the length of the room is 6.5m,
what is its width?
Answers
The formula for perimeter is 2(Length) + 2(width)
Fill in the known information:
22 = 2(6.5)+ 2(width)
Simplify:
22 = 13 + 2(width)
Subtract 13 from both sides:
9 = 2(width)
Divide both sides by 2:
Width = 4.5m
Can someone please help me?
Answers
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Remember X intercept is when y is equal to zero
So basically f(x-4) is literally equal to y=radical (x-4)
When graphing them you will notice that the x intercept is 4 units lower
if f(x) = -3x - 5 and g(x) = 4x-2, find (f+g)(x)
Answers
Answer:
(f+g)(x) = x - 7
Step-by-step explanation:
it is simple - when adding 2 functions your simply add both expressions. and the result is then the function of the sum.
the same applies also to other arithmetic operations.
-3x -5 + 4x - 2 = x - 7
Which one is this please help thank u
Answers
Answer:
isosceles
Step-by-step explanation:
Two sides are the same length as indicated by the lines on the sides.
This tells use that the triangle is isosceles
Answer:
Hi, this an isoceles triangle
Step-by-step explanation:
An isoceles triangle has 2 equal sides
A right angled one has a right angle (90 degrees)
An equilateral traingle has all of his sides equal
A scalene has all of his sides different.
So this must be an isoceles triangle because there is basically a proof of the two equal sides (the bars).
Hope its clear!
The following data represent the maximum wind speed (in knots) and atmospheric pressure (in millibars) for a random sample of hurricanes that originated in the Atlantic Ocean.
Atmospheric Pressure (mb) Wind Speed (knots) Atmospheric Pressure (mb) Wind Speed (knots)
993 50 1006 40
995 60 942 120
994 60 1002 40
Required:
a. Find the y-intercept of the least-squares regression line, treating atmospheric pressure as the explanatory variable (round to four decimal places.)
b. Find the slope of the least-squares regression line, treating atmospheric pressure as the explanatory variable (round to four decimal places.)
c. Is it reasonable to interpret the y-intercept of the least-squares regression line, treating atmospheric pressure as the explanatory variable? Why or why not?
Answers
Answer:
Step-by-step explanation:
X Y X² Y² XY
993 50 986049 2500 49650
995 60 990025 3600 59700
994 60 988036 3600 59640
1006 40 1012036 1600 40240
942 120 887364 14400 113040
1002 40 1004004 1600 40080
[tex]\sum X: 5932[/tex] [tex]\sum Y : 370[/tex] [tex]\sum X^2 : 5867514[/tex] [tex]\sum Y^2 = 27300[/tex] [tex]\sum XY : 362350[/tex]
To determine the regression:
[tex]Mean \ (X) = \dfrac{\sum X }{n} \\ \\ = \dfrac{5932}{6} \\ \\ = 988.67[/tex]
[tex]Mean \ (Y) = \dfrac{\sum Y}{n} \\ \\ = \dfrac{370}{6} \\ \\ = 61.67[/tex]
Intercept [tex]b_o = \dfrac{\sum YX *\sum X^2 - \sum X \sum Y}{n(\sum X^2) - (\sum X)^2}[/tex]
[tex]=\dfrac{370(5867514) -(5932)(370)}{6(5867514) - (5932)^2}[/tex]
= 131760.9563
Slope [tex]b_1 = \dfrac{n(\sum XY) -(\sum X *\sum Y) }{n(\sum X^2)-(\sum X)^2}[/tex]
[tex]b_1 = \dfrac{6(362350) -(5932*370) }{6(5867514)-(5932)^2}[/tex]
[tex]b_1 = -1.2600[/tex]
The regression line equation [tex]Y = b_o +b_1X[/tex]
[tex]Y = 131760.96 -1.2600 X[/tex]
We then make a comparison of the slope of the equation to y = mx+c
slope of the equation = -1.2600
the y-intercept corresponds to when X = 0, thus:
y-intercept = 131760.9563
Yes, it is reasonable to interpret the y-intercept of the regression line, Using atmospheric pressure as an explanatory variable due to the fact that:
X is the independent variable and Y exists as the dependent variable.
