Answer:
2450 square feet
Step-by-step explanation:
We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.
The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.
The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)
Which CANNOT be part of an expression?
A)
numbers
B)
variables
C)
Equal sign
D)
addition sign
Can someone please help?!
please help out anyone
Answer:
The equation of the exponential function will be:
y = 12·(2)ˣStep-by-step explanation:
The general exponential function is defined as
y = abˣ
Here,
a is the initial value and b is the growth factor
From the table, it is clear that the y-intercept is (0, 12). Note that the y-intercept can be determined by setting x=0 and solving for y.
here
at x=0, y=12
so a = 12
If we check the y-values, it is clear that every next value of y can be obtained by multiplying the previous y-value by 2.
In other words, the common multiplier = b = 2
Thus, the equation becomes
y = 12·(2)ˣ
Thus, the equation of the exponential function will be:
y = 12·(2)ˣ11.) The sum of four consecutive even
integers is 68. Find the four consecutive
even integers. What is the 3rd integer
in the sequence?
Answer:
Four consecutive even integers are 14, 16, 18 and 20Step-by-step explanation:
Let N be the first even integer
Each consecutive integer is 2 away from the previous integer
Next consecutive integer = N + 2, next one = N+4 and the last one = N +6
Add these expressions together, set them equal to 68 to solve for N
==> N + (N +2) + (N +4) + (N + 6) = 68
==> N + N +2 + N +4 + N + 6 = 68
==> 4N + 12 = 68
==> 4N = 68-12
==> 4N = 56
N = 56/4 = 14
So the integers are 14, 16, 18 and 20
Third integer in the sequence is 18
this is for an exam please help IM LITERALLY GIVING YOU ALL OF MY POINTS!!!
Look at the question and the student work below. In complete sentences, describe the mistake the student made and explain how to answer the question properly. Be sure to include a description of the algebraic steps required to solve for x and find the correct measure of the indicated angle.
Answer:
The equations should have been added up to equal 180 instead of being set to equal each other. The two are supplementary angles, which can be seen due the rule that a pair of interior angles on the same side of the transversal is supplementary. To fix this issue from the work that they did, they should subtract the 140 from 180, so the correct measure of DKH is actually 40 degrees.
Step-by-step explanation:
Answer:
Which class are you in presently
if 12 squared + b squared = 15 squared what is b squared.
Answer: 3
Step-by-step explanation:
Evaluate 8j - k+14 when j=0.25 and k=1
Answer:
(8)(0.25)−1+14
=15
Step-by-step explanation:
Which number line shows the solution of 6x- 12>-6?
Answer:
The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality, \dfrac{y}{x}
x
y
start fraction, y, divided by, x, end fraction ?
Step-by-step explanation:
Answer: Option A
Step-by-step explanation:
6x - 12 > -6
6x > 6
x > 1
Pls right it in y=mx+b form i make you brainlist
Answer:
y = (1/6)x - 5
Step-by-step explanation:
Substituting m for the the slope:
y = (1/6)x + b
Plugging in the values showed in the point (x = 12, y = -3):
-3 = (1/6)12 + b
-3 = 2 + b
b = -5
y = (1/6)x - 5
Hope this helps!
Find the area of a square with a side measurement of 3 1/2 inches.
Answer:
A=9
Step-by-step explanation:
-34 -3X= 3
Y =-5X -17
solved in a substitution
What is 70%, percent of 20
what is the slope of this line?
Answer:
-2/3
Step-by-step explanation:
(3,1), (0,3)
(3-1)/(0-3) = 2/-3
Hope this helps! :3
plz mark as brainliest!
Mai has $36 to spend on movie tickets each movie ticket cost 1.50 dollars how many tickets can she buy
Answer:
Step-by-step explanation: is it 24
Otto spent Three-fourths of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?
A. 36
B. 64
C. 144
D. 192
Answer:
a
Step-by-step explanation:
Answer: B
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
[tex]1 \frac{3}{16}[/tex] inches
Step-by-step explanation:
[tex]3 \frac{3}{4} - 2 \frac{9}{16}[/tex]
Convert into improper fractions:
[tex]3 \frac{3}{4} = \frac{15}{4}[/tex] and [tex]2 \frac{9}{16} = \frac{41}{16}[/tex]
LCD is 16 so multiply 15/4 by 4/4 to get 60/16
60/16 - 41/16 = 19/16 = [tex]1 \frac{3}{16}[/tex] inches
just 7 i really dont want to do the work 3
Answer:
267
Step-by-step explanation:
Which is the product of and 9?
A 54
B) 27
C 18
D) 6
He uses
Answer:
Product of 6 and 9 = 54
Product of 3 and 9 = 27
Product of 2 and 9 = 18
Product of 2/3 and 9 = 6
:)
A team's "winning percentage" shows how often it won. The team's "opponents' winning percentage" shows how often all its opponents won. But those opponents also played against other teams. Our team didn't have a chance to play against them. The "opponents' opponents winning percentage" shows how often all those other teams won. Summarize this in your own words.
Answer and explanation:
If a team's winning percentage denotes how often it has won then,
Then assume that it has won 7 out of 10 times then it has won 70% of the time
If the team's opponents' winning percentage denotes how often each has won without haven to face the team, then assume that each opponent has won 6 out of 10 times then it has each opponent has won 60% of the time(it could be different percentages if teams have won different number of games for each 10 games played)
If each opponent's opponents have each won 5 out of 10 times, 8 out of 10 times, 7 out of 10 times(assuming 3 groups, say 3 each, of opponents for 3 teams) then the groups must have won 50%, 80% and 70% of the time.
Answer:
1 and 4 :))
Step-by-step explanation:
--- BONUS!---
During one night, possums ate two fifths of the fifty five fruits on a tree. If one eleventh of the
eaten fruit grew back, how many fruits are now on the tree?
Grade 8 Number Sense and Numeration
IL
Answer:
35
Step-by-step explanation:
2/5x55=22
55-22=33
22x1/11=2
33+2=35
35 left on tree
which of the following is an example of a terminating decimal. 1. 1/4 2.1/3 3. 4/9 4. 1 2/3
Answer: Actually the answer would be the first one.
Step-by-step explanation:
All the answers except #1 have repeating decimals
Which expression is equivalent to 2(14x - 3y + 28x + 12.2 - 5y - 17.5)?
A: 84x - 16y - 10.6
B: 28x - 6y - 10.6
C: 42x - 8y - 5.3
D: 84x - 16y - 5.3
Answer:the answer is a
Step-by-step explanation:
The expression 2(14x - 3y + 28x + 12.2 - 5y - 17.5) is equivalent to the expression 84x - 16y -10.6 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 2(14x - 3y + 28x + 12.2 - 5y - 17.5)
= 28x - 6y + 56x + 24.4 - 10y - 35
Adding like terms
= 84x - 16y -10.6
Thus, the expression 2(14x - 3y + 28x + 12.2 - 5y - 17.5) is equivalent to the expression 84x - 16y -10.6 option (A) is correct.
Learn more about the expression here:
brainly.com/question/14083225
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PLEASE HELP QUICK!!!!!! WILL GIVE BRAINIEST!!!!!!
Answer:
5) 9/6
6) -5/4
Step-by-step explanation:
The formula to find slope is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]. A line rising left to right has a positive slope. A line rising right to left has a negative slope.
Hope it helps!
Solve: 7n + 5 = -44 HELPPPPPPPPPPP
Answer:
-7
Step-by-step explanation:
7n+5=-44
-5 - 5
7n=-49
7/7 -49/7
n = -7
3-2.5/3 + 4/3
I already tried 1.5 and it was wrong, please help!
Answer:
3-2.5/3+4/3
3-0.833+4/3
3+1.33-0.833
4.33-0.833
3.500
If –3p – 2 (6 – p) > -7, then which statement is true?
Answer:
-5
Step-by-step explanation:
Most staircases in use today have 9−inch treads and 8 12 −inch risers. What is the slope of a staircase with these measurements? Give your answer as a fraction or rounded to four decimal places, if necessary
Answer:
The value is [tex]m = 0.9022[/tex]
Step-by-step explanation:
From the question we are told that
The length of the treads is [tex]a = 9 \ inch[/tex]
The length of the risers is [tex]b = 8.12 \ inch[/tex]
Generally the slope of the staircase is
[tex]m = \frac{b}{a}[/tex]
=> [tex]m = \frac{8.12}{9}[/tex]
=> [tex]m = 0.9022[/tex]
What else is needed to prove these triangles congruent using the ASA postulate?
The thing needed to prove these triangles congruent using the ASA postulate is B. Nothing else is needed to use the ASA postulate.
What is the ASA postulate?The triangles are said to be congruent if two angles and the included side of one triangle match two angles and the included side of another triangle.
It should be noted that the triangles given are identical and the sides are equal.
Therefore, the thing needed to prove these triangles congruent using the ASA postulate is that nothing else is needed to use the ASA postulate.
Learn more about postulate on:
https://brainly.com/question/10652734
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Calculate each sum or difference, be sure to estimate first
12 2/5 + (-3 1/4)
Consider the system of equations shown below. y = negative 5 x + 1. y = negative 5 x + 10 When graphed, the system consists of two lines that will never meet, no matter how far they are extended. Why are the lines parallel? The linear equations have the same slope and y-intercept. The linear equations have different slopes and y-intercepts. The linear equations have the same slope but different y-intercepts. The linear equations have different slopes but the same y-intercept.
The reason why both graphs are parallel because they have the same slope but different y-intercept.
Think about it. If both graphs have same slope and same y-intercept. The graph will intercept each others infinitely.
Then if we change the y-intercept into any numbers that aren't the same as another equations for ex.
y = -5x+1 and y = -5x+10
then we will get the parallel graph. Or if you solve the equation, the equation will not be true, thus giving the graph parallel.
But if it is y = -5x+1 and y = -5x+1 which both are the same graph. Then the graph will intercept each others infinitely. Or if we solve the equation, we will get 0 = 0 which makes the equation true for all real numbers.
Therefore, the reason why both graphs are parallel is because that they have the same slope but different y-intercept.
That's all.
Answer:
c
Step-by-step explanation: