Answer:
The independent variable, x, represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
So D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
Step-by-step explanation:
The question clearly stated that the area depends on the side length, making the side length the independent variable.
The formula for the area of a square is the side length squared.
Have a good day :)
The relationship between them is the formula for the area of a square is the side length squared.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
The independent variable x is represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
It is stated that the area depends on the side length, making the side length the independent variable.
Therefore, The formula for the area of a square is the side length squared.
Learn more about the area;
https://brainly.com/question/1658516
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Expand.
Your answer should be a polynomial in standard form.
(y2 + 6)(-2y + 7) =
Answer:
See attached image
Step-by-step explanation:
Use the FOIL method
First - multiply the first numbers inside the parentheses (y^2 and -2y)
Outer- multiply the first and last numbers inside the parentheses (y^2 and 7)
Inner - multiply the two numbers next to the closing and opening parentheses (6 and -2y)
Last- multiply the last two numbers in the parentheses. (6 and 7)
Then simplify to put it in standard form.
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider DU charges AED10 per month plus an activation fee of AED20. A second cellphone provider ETISALAT charges AED11 per month plus an activation fee of AED15. For what number of months is the cost of either cellphone provider the same?
Answer:
5 months
Step-by-step explanation:
One cellphone provider charges AED10 per month plus an activation fee of AED20.
If I used the services of this cellphone provider for x months, total charges for the services,
y = 10x + 20 --------(1)
Similarly, charges for the second cellphone provider for x months of uses will be,
y = 11x + 15 -------(2)
Input-output table for equation (1)
x 1 2 3 4 5
y 30 40 50 60 70
Input output table for equation (2)
x 1 2 3 4 5
y 26 37 48 59 70
From these tables, we find (5, 70) is a common point for both.
It reveals that after the uses of 5 months charges for both the cellphone providers will be same (y = $70)
Me and my daughter are having a disagreement on this question, I would appreciate the help.
Answer:
(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5
5(2t + 1) + (-7t + 28)= 3t+33
(-9/2t +3) + (7/4t + 33) = -11/4c+56
3 (3t-4) - (2t + 10)= 7t -22
Sooo Sorry that it took soooo long! Hope this helps!!!
Happy holidays!!
Shane and Gemma share 35 sweets in the ratio 1:4
1
Gemma eats 10 of her sweets and then gives Shane 2 of the sweets she has left.
(c) How many sweets does Shane have now?
Answer:
Shane has 9 sweats now.
Step-by-step explanation:
Given that Shane and Gemma share 35 sweets in the ratio 1:4.
Let the share of Shane be = 'x'
Let the share of Gemma be = '4x'
The combined share of Shane and Gemma = x + 4x = 5x
Total sweets they share = 35
so the equation becomes
5x = 35
x = 7
Thus,
Share of Shane = x = 7
Share of Gemma = 4x = 4(7) = 28
Gemma eats 10 sweets, so she has left with 28-10 = 18 sweets
Gemma gave 2 of the sweets she has left.
As Shane has already 7 sweats, so adding 2 in 7 sweats would make it 9 sweats.
Therefore, Shane has 9 sweats now.
what is the graph of y= 2/3x
Answer:
Hope this helps you.
Step-by-step explanation:
I posted it.
Point Q was rotated about the origin (0,0) by -45 degrees
Answer:
0,0
Step-by-step explanation:
The point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).
From the given graph, the coordinates of point Q are (-3, 5).
Rotating the co-ordinate axes through an angle of 45° in anti-clockwise direction is equivalent to rotating the point through an angle of -45° about origin.We will use rotation from complex numbers to solve this.
Let x + iy the new complex number
(-3+5i)[tex]e^{\frac{-\pi i}{4} }[/tex]
= (-3+5i)((1-i)/√2)
= (-3+5i)(1-i) ×1/√2
= (-3+5i+3i-5i²) ×1/√2
= (-3+8i+5) ×1/√2
= (2+8i) ×1/√2
= (2/√2 + 8i/√2)
= (√2 + 4√2i)
So, the coordinates are (√2, 4√2)
Therefore, the point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).
Learn more about the rotation here:
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please help me for 50 point
Answer:
54
Step-by-step explanation:
So If this tells you what 'm' and 'n' are, you just put them inside.
First do the M so then it will be 5 * 10 which is 50 then we just first leave it there. Then we start putting in that N. We know that N is 4. Then it's N to the power of 2. I recommend since there's already a 4 on the bottom, just do 4 * 4 there. Then you see there is a 4 on the denominator while there are double 4's on the numerator. Then you just cross one 4 on the denominator and one on the numerator to simplify it.
Then all there is is 50 + 4 = 54
So 54 is our answer.
Answer:
Step-by-step explanation:
10m + n^2/4 (m=5 , n=4)
(10*5) + (4^2/4) =
50 + 4 =
54
Find the value of x in the
following parallelogram:
2x - 1
11
7
x = [?]
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
See attachment for complete question
From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.
Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:
[tex]2x - 1= 7[/tex]
Add 1 to both sides
[tex]2x - 1 + 1 = 7 + 1[/tex]
[tex]2x = 8[/tex]
Divide through by 2
[tex]x = 4[/tex]
What is the value of q?
S
415
2/14
S
2015
ין
R
4
64,5
T
10
Answer:
[tex]2 \sqrt{14} [/tex]
An oil drilling company drills the same distance each day for 5 days. They started at an elevation of 121.175 feet and ended at an elevation of -246.875 feet. Which equation can be used to find x, the distance they drilled each day?
Answer:
[tex]x=\dfrac{|-246.875-121.175|}{5}[/tex]
Step-by-step explanation:
Given that:
Same distance is drilled by the oil drilling company for 5 days.
Initial elevation = 121.175 feet
Final elevation = -246.875 feet
To find:
The equation to find the value of [tex]x[/tex] i.e. the distance drilled each day?
Solution:
To find the distance drilled each day, we need to divide the total distance drilled with the number of days taken to drill the total distance.
Total distance drilled can be found by subtracting the initial elevation from the final elevation and taking modulus because distance can not be negative.
Total distance drilled = | Final elevation - Initial elevation |
Total distance drilled = | -246.875 - 121.175 |
Therefore, we can write the expression as:
[tex]x=\dfrac{|-246.875-121.175|}{5}[/tex]
[tex]\Rightarrow x=\dfrac{|-368.05 |}{5} =73.61\ ft/day[/tex]
hanna can wrap 10 boxes 30 minutes. how many boxes can she wrap in 60 minutes
Answer:
20
Step-by-step explanation:
Answer:
She would have wrapped 20 boxes.
Step-by-step explanation:
You would look at how many boxes she can wrap in 30 mins which is 10. 60 divided by 30 is 2 so you would take 10 and multiply it by 2 to get 20.
Using mixed numbers, write a problem in which an estimate is enough to solve the problem.
explain:
Estimating Differences of Fractions and Mixed Numbers
Estimating Differences of Fractions and Mixed NumbersRecall that estimation is a method for finding an approximate solution to a problem. Even when you are asked to find an exact ko, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.Here are the steps for estimating the differences of fractions and mixed numbers using benchmarks.
Peter expected to earn $425 in a week. In fact, he earned $500. What was the percentage error? (Round to nearest percent)
I have another question as well
I estimated that the repairs to my car would cost $80. In fact , they cost $120. What was the percentage error?
You dont have to answer the second one but when i looked for the answer they gave me 33 which was not even an option
Answer:
Pretty sure it would be 15 percent sorry if im wrong
Step-by-step explanation:
Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.
Answer:
Please check the explanation.
Step-by-step explanation:
Writing this relation in set notation using curly braces:
{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}
The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.
Hence, this relation is a function.
We know that the domain is the set of all x values.
Thus, the domain is: {1, 2, 3, 4, 5}
We know that the domain is the set of all y values.
Thus, the range is: {-1, 0, 3, 5, 6}
please solve this for me
Answer:
the square of -5 is 25 not -25
, -4(1)(-3) is 12 not -12 because when we multiply 2 negative numbers their result is positive
+5 should be written instead of -5
Step-by-step explanation:
+5 should be written instead of -5 as the formula is (-b+-(b²-4ac)½)/2a . since b=-5 ;-b=+5
Does the line whose equation is y=-2x+13 pass through the point (4,5)? Explain how you arrived at
your answer.
Answer:
Yes
Step-by-step explanation:
Plug in 4 for x, 5 for y. if it equals, then its a point
5 = -2(4) + 13
5 = -8 + 13
5 = 5
it equals so (4,5) is a point
Sumalee and Scott each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent $93 on 6 daylilies and 3 pots of ivy. Scott spent
$196 on 13 daylilies and 6 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.
Answer:
The cost of one daylily is $10 and the cost of one pot of ivy is $11
Step-by-step explanation:
To solve the question we will form a system of equations
Assume that the cost of 1 daylily is x and the cost of 1 pot of ivy is y
∵ Sumalee spent $93 on 6 daylilies and 3 pots of ivy
→ Multiply x by 6, y by 3, then add the products and equate the sum by 93
∴ 6x + 3y = 93 ⇒ (1)
∵ Scott spent $196 on 13 daylilies and 6 pots of ivy
→ Multiply x by 13, y by 6, then add the products and equate the sum by 196
∴ 13x + 6y = 196 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by -2
∵ -2(6x) + -2(3y) = -2(93)
∴ -12x - 6y = -186 ⇒ (3)
→ Add equations (2) and (3)
∵ (13x + -12x) + (6y + -6y) = (196 + - 186)
∴ x + 0 = 10
∴ x = 10
→ Substitute the value of x in equation (1) to find the value of y
∵ 6(10) + 3y = 93
∴ 60 + 3y = 93
→ Subtract 60 from both sides
∵ 60 - 60 + 3y = 93 - 60
∴ 3y = 33
→ Divide both sides by 3
∴ y = 11
∴ The cost of one daylily is $10 and the cost of one pot of ivy is $11
Write ✓-49 as an imaginary number using i.
rewrite as as whole number 40/5
Answer:
8
Step-by-step explanation:
Just do 40 divided by 5.
A bag contains five ping-pong balls numbered 1 to 5. Two balls are removed to form a two digit number. The smallest possible number is 12 and the largest is 54. What is the probability that the number formed is prime? (hint: Write out the entire sample space)
Answer:
[tex]\frac{11}{42}[/tex] or 26.19%
Step-by-step explanation:
If the range of possible numbers is between 12 and 54 then that means that there are 42 (54 - 12) possible numbers that can be made. In this range, there are 11 prime numbers which are the following...
13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Therefore, the probability that the number formed is a prime would be [tex]\frac{11}{42}[/tex] which if we divide and multiply the decimal by 100 we get the probability in percentage form.
[tex]\frac{11}{42}[/tex] = 0.2619
0.2619 * 100 = 26.19%
Finally, we can see that the probability of this happening is 26.19%
Use the dot product to find v when v=(-2 -1)
a. -1 c. √5
b. -3 d. √3
Since you're only given the one vector, I assume you're supposed to find the magnitude of v, or ||v||, using the dot product.
We have
v • v = (-2, -1) • (-2, -1) = (-2)² + (-1)² = 5
so that
||v|| = √(v • v) = √(5)
and the answer is C.
Answer:
C
Step-by-step explanation:
just trust
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 + n . What does the variable n in the expression represent?
Answer:
n = The number of can collected after lunch
Step-by-step explanation:
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling.
From the question, the told number rod cans collected before lunch = n
We are told that :
At the end of the day, the total number of cans collected can be represented by the expression 173 + n .
The total number of cans = Number of cans collected before lunch + Number of cans collected after Lunch
Hence:
173 + n = 173 + Number of cans collected after Lunch
Therefore, the variable n = Number of cans collected after Lunch
Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.
Answer:
w=10
Step-by-step explanation:
8.25+1/4w=10.75
8.25+0.25w=10.75
0.25w=10.75-8.25
0.25w=2.5
w=10
I hope this helps
Answer:
C/10
Step-by-step explanation:
someone please help me. show your work for brainliest.
find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0
Answer:
Attached file
Step-by-step explanation:
(repost forgot some) Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai
Criminal Minds
Stranger Things
Selling Sunset
Answer:
The Office
Step-by-step explanation:
6a-4a(3-4)=
Please help me
Answer:
Step-by-step explanation:
10a
I need help ASAP pic below
Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
What is
25 3/10 + 376 77/100
Answer: 3 parrots
Step-by-step explanation:
Answer:
402 7/100
Step-by-step explanation:
Hope this helps!
A cell phone tower casts a 100 foot shadow.At the same time, a 4 ft 6 inch post near the tower casts a shadow of 3 ft 4 inches. What is the height of the tower? Please help I need an answer ASAP
Answer:
https://brainly.com/question/11428290
Step-by-step explanation:
You can go to this webpage and see if you find what you are looking for. :)
250 ft.
3ft 4in = 4ft 6in - 1ft 2in.
i dunno how to explain it any better. lol sorry.
2(6-x)=3 please help
Answer:
x = 4.5
Step-by-step explanation:
Let's solve this together!
First you would want to multiply 6 and x:
6×2 = 12
x×2 = 2x
Then you would want to subtract 12 from 3:
3+12 = 9
Then divide 9 by 2:
9÷2 = 4.5
x=4.5
That's it!
Hope this helped! :)