Answer:
The length is 12metres, the width is 6metres
Step-by-step explanation:
Suppose the width is x, the length is x+6
The square is 72. The square of rectangular field is equal to product of length and width.
so x(x+6)=72
x^2+6x-72=0
a=1 b=6 c=-72
D= b^2-4ac= 6*6+288= 36+288= 324
sqrtD= 18
x1= (-b-sqrtD)/2a=(-6-18)/2= -12 (it is negative, but width is only positive. So this root doesn't match)
x2=(-b+sqrtD)/2a= (-6+18)/2= 12/2=6 - the width
The length is 6+6=12
Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin of error smaller.
Step-by-step explanation:
First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.
It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.
Please help out will give brainliest to the first person
Answer:
b = 74
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles in a triangle
b-44 + b+18 = b+48
2b-26 = b+48
Subtract b from each side
2b-b-26 =b+48-b
b-26 = 48
Add 26 to each side
b-26+26 = 48+26
b =74
help help help it is simple one
Answer:
[tex] 3^{ -x+3}[/tex]
Step-by-step explanation:
We need to simplify out the given exponential expression . The given expression to us is ,
[tex]\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}} [/tex]
We can use the Law of Exponents to simplify the given expression . Recall that ,
[tex]\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}[/tex]
Note that , we can write ,
[tex]\rm\implies \dfrac{1}{3}= 3^{-1}[/tex]
Therefore our expression becomes ,
[tex]\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}[/tex]
Simpify using the Law of Exponents ,
[tex]\rm\implies 3^{ -1 - ( x - 4 )}[/tex]
Open the brackets in exponent ,
[tex]\rm\implies 3^{ -1 - x +4 }[/tex]
Simplify to get final expression ,
[tex]\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}[/tex]
Kristen and Stephen share some money on the ratio 3:2 Kristen receives $72. How much will Stephen receive
Answer:
$48
Step-by-step explanation:
A ratio of 3:2 could be $3 and $2, or any multiple of 3 and 2 such as $6 and $4. Kristen corresponds to $3 and receives $72.
$72/$3 = x/$2
3x = 2 * $72
3x = $144
x = $48
Answer: $48
Answer:
$48
Step-by-step explanation:
Since we are given the ratio 3:2 we can use that with the given number to find our missing amount
first, we divide 72 by 3 to find what 1/3 will be 72/3 = 24
Then, we multiply by 2 to find our missing amount 24 * 2 = 48
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
slope-intercept form.
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]
= [tex]\frac{88}{21}[/tex] x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
what is the greatest common monomial factor?
Answer:
To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – 1 factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3p2r3 .
Step-by-step explanation:
Plz help!! I need it ASAP
Answer:
you save $500 for 7 years at 6% compounding continuously
what is the final value...
A = $500 [tex]e^{.06(7)}[/tex]
Step-by-step explanation:
If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc
9 Alicia has a bag that contains 12 apples.
Estimate the mass of the bag of apples.
Give your answer in kilograms.
Answer:
The key here is estimate, you don't need exact values or more information for this problem. First estimate the mass of an average apple. A quick online search reveals that the mass of an average apple is approximately 100 grams. Multiply by 12 for the bag and convert to whatever units you're asked to express your answer in.
Step-by-step explanation:
which quadratic function has zeros of -4 and 7
Thank You! Hope it helps! Please mark me brainliest!
The graph of a logarithmic function IS shown below.
What is the domain of the function?
A.x<0
B.x>0
C.x<1
D. All real numbers
Answer:
Step-by-step explanation:
The domain includes all the "allowed" x values. Looking at the graph, it appears to start a tiny tiny bit to the right of 0, so it doesn't include 0. It also does not go to the left of 0. Therefore, the domain of the graph is x > 0
A cone has a volume of 150 cm cubed and a base with an area of 12 cm square. What is the height of the cone?
(I'm asking this again :') No one answered it.)
P.S Its 30 Points now
SO PLEASE HELPPP tyyyy :)
Answer:
37.5cm
Step-by-step explanation:
V=1/3Bh
150=1/3 12h
150=4h
37.5=h
Factor x4 – 81. Question 20 options: A) (x2 + 3)(x2 – 3) B) (x2 – 9)(x + 3)(x – 3) C) (x2 + 9)(x + 3)(x – 3) D) (x + 3)2(x – 3)2
Answer:
C is correct
Step-by-step explanation:
A square minus a square can always be factored into the square root of the 1st term plus and minus the square root of the 2nd term. So
x**4 - 81 = (x**2 + 9)(x**2 -9) = (x**2 + 9) (x + 3)(x - 3)
Solve for x.
10x – 79 = 2x + 49
x = [?]
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Step 1: Add 79 to both sides
[tex]10x - 79 + 79 = 2x + 49 + 79[/tex]
[tex]10x = 2x + 128[/tex]
Step 2: Subtract 2x from both sides
[tex]10x - 2x = 2x - 2x + 128[/tex]
[tex]8x = 128[/tex]
Step 3: Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{128}{8}[/tex]
[tex]x = 16[/tex]
Answer: [tex]x = 16[/tex]
*jjjjjjjjjjjjjjjjbbbjnjbbbbbbbbhfuh
Step-by-step explanation:
x=16
The melting point of mercury is about 1/4 of the melting point of krypton. The melting point of mercury is -39c. Write and solve an equation to find the melting point of krypton.
Answer:
-156c
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] of krypton melting point is mercury melting point
[tex]\frac{1}{4}[/tex](k) = -39
k = -39(4)
k = -156c
Add. State the sum in simplest form.
6/5x + 7/3y
Answer:
6x/5 + 7y/3
Step-by-step explanation:
Answer:
3.53xy
Step-by-step explanation:
I’m probably wrong but give it a try I think
Please help pleaseeee
Answer:
32/33
Step-by-step explanation:
We first need to find out how many square yards are vacuumed every one minute.
Let's set up a chart:
yards minutes
8/11 --> 3/4
y --> 1
Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.
1. Multiply 1 by 8/11 to get... 8/11
2. Multiply 3/4 by y to get... 3/4y
3. Equate them: 8/11 = 3/4y
4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable
5. This gives us 32/33 = y
DIVISON METHOD OF 527,646,1105
Answer:
17 is the answer
Step-by-step explanation:
Which system is equivalent to y=-2x^2 y=x-2
a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2
Answer:
answer C
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]
Choose the model that represents the same function as the values in the table.
x r(x)
-4 -4
2 8
5 14
7 18
X -> times 2 -> plus 4 -> r(x)
Step-by-step explanation:
-4=x -4=r(x) -4 x 2=-8 -8+4=-4
Answer:
If on imagine math then its on the picture, have a nice day!
Step-by-step explanation:
Find the slope of the line
Answer:
-1
Step-by-step explanation:
y = -1
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost
At a homecoming pep rally, one student will win free tickets to the homecoming dance. There are 2,400 students attending the pep rally. The student council wants to pull the winning student’s name from a container with the school’s mascot on it. Unfortunately, the container only holds 600 names.
Which method can the student council use to ensure each student has a fair chance of winning?
A.
Randomly assign the 2,400 students to four equal groups. Select a group at random and put all the names from that group in the container. Randomly select the winner from the container.
B.
Put the names of the first 600 students who arrive at the pep rally in the bag. Randomly select the winner from the container.
C.
Select a section of the bleachers and only put the names of students sitting in that section in the container. Randomly select the winner from the container.
D.
Select a grade and only put the names of students from that grade in the container. Randomly select the winner from the container.
Answer:
A
Step-by-step explanation:
Answer A. Logically speaking there is no fair chance unless they use all the names but we can rule out C by the higher chance of students crowding, B is less likely as selecting winners from students who arrive first would be nearly the same as who bought their tickets first. D, selecting a grade excludes (estimating) around 1500 students or more from being included. A is the only logical answer left and by dividing them randomly you give everyone a full chance.
20-(+20)-(-65)-(-12)
Answer:
77
Step-by-step explanation:
20-(+20)-(-65)-(-12)
-(-65)-(-12)
+65-(-12)
+65+12
77
Q) 20-(+20)-(-65)-(-12) = ?
→ 20-(+20)-(-65)-(-12)
→ 20 - 20 + 65 + 12
→ {20 - 20} + {65 + 12}
→ 0 + 77
→ 77 is required solution.
HELP! (25 points) i think i might know the answer
Answer:
[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Need help on this!!! 6 points!!!
Answer:
it appears to be FALSE....
f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x
h(32-5x) = 6(32-6x)
= 192 - 36x
Step-by-step explanation:
ASAppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
3/16
Step-by-step explanation:
-3*-1=3, 4*4=16
Answer:
3/16
Step-by-step explanation:
Multiply both the numerators (top number) and denominators (bottom numbers) together
-3 x -1 = 3....bc negative times negative always equals positive
4 x 4 = 16
Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?
Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.
Total amount of moneyFirst you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.
So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:
6 video games* 27 dollars each game= 162 dollars
So Tyrell spends 162 dollars.
Money left over after buying the video games.On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.
This indicates that after spending $ 162 on video games, there were $ 379 left over.
Money he started with.To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:
162 dollars + 379 dollars= 541 dollars
So, Tyrell started with $541.
Learn more with this similar examples:
https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResultsTyrell started with 541 $
There are two actions in the question.
First Tyrell bought 6 video games, each game cost 27 $.
Spent
According to that Tyrell spent
6 * 27 = 162 $
Keeps
The second fact is that after shopping Tyrell keeps 379 $.
If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has
Now if we call "x" the quantity of money Tyrrel started with: Then
x = the money Tyrell spent on video games plus the remaining 379 $
Then
x = 162 + 379
x = 541 $
If A=(0,0) and B=(8,2), what is the length of AB
Answer:
[tex]\boxed{\sf Distance_{AB}= 8.24 \ units }[/tex]
Step-by-step explanation:
Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,
Distance Formula:-
[tex]\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Therefore on substituting the respective values ,we can find the Distance as ,
[tex]\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2} [/tex]
Simplify the brackets ,
[tex]\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}[/tex]
Square the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance =\sqrt{ 64 + 4} [/tex]
Add the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance = \sqrt{68} [/tex]
Find the value of squareroot,
[tex]\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}[/tex]
Hence the distance between the two points is 8.24 units .