Answer:
a) V(x) = x ( 60 -2x )( 15-2x )
b) 0.55 inches ≤ x ≤ 6.79 inches
c) x ≥ 6.79 inches
Step-by-step explanation:
Given data:
No top, cardboard dimensions ; 15-in by 60-in
a) A function for the volume of the box as a function of x the Volume can be represented by this function below
= V(x) = x ( 60 -2x )( 15-2x )
where : x = height , ( 60 - 2x ) = length , ( 15 -2x ) = width
b) determine x so that the volume of the box ≥ 450 inches
450 = x( 60 - 2x ) ( 15 -2x ) ( solving the equation )
0.55 inches ≤ x ≤ 6.79 inches
c ) The value of x for which volume of the box is maximum
will be x ≥ 6.79 inches
The volume of the box as a function of x V(x) = x ( 60 -2x )( 15-2x )
The volume of the box as a function of x inches 0.55 inches ≤ x ≤ 6.79
The volume of the box is maximum x ≥ 6.79 inches
Given ,
The box with no top that is to be made by removing squares of width x
The corners of a 15-in by 60-in piece of cardboard.
Volume can be represented by this function belowV(x) = x ( 60 -2x )( 15-2x )
Where : x = height , ( 60 - 2x ) = length , ( 15 -2x ) = width
The volume of the box as a function of x is V(x) = x ( 60 -2x )( 15-2x )
To determine x so that,The volume of the box ≥ 450 inches
V(x) = x ( 60 -2x )( 15-2x )
The volume of the box is at least 450 cubic inches.0.55 inches ≤ x ≤ 6.79 inches
The value of x for which volume of the box is maximum will be x ≥ 6.79 inches.For more information about Volume of the square click the link given below
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Solve the following compound inequality.
A.
B.
C.
D.
Answer:
c is the answer
Step-by-step explanation:
5x+7 ≤ -3
-7
5x ≤ -10
/5
x ≤ -2
Answer:
C
Step-by-step explanation:
We have the compound inequality:
[tex]5x+7\leq-3\text{ or } 3x-4\geq11[/tex]
We will solve each inequality individually and then combine them at the end.
For the first inequality, we have:
[tex]5x+7\leq-3[/tex]
Subtract 7 from both sides:
[tex]5x\leq-10[/tex]
Divide both sides by 5:
[tex]x\leq-2[/tex]
For the second inequality, we have:
[tex]3x-4\geq11[/tex]
Add 4 to both sides:
[tex]3x\geq15[/tex]
Divide both sides by 3:
[tex]x\geq5[/tex]
Since our original inequality was an “OR,” our solution set is also an “OR.”
Hence, our solution is:
[tex]x\leq-2\text{ or } x\geq5[/tex]
Thus, our answer is C.
On a circle, which of these is not a straight line?
Circle your answer.
I
circumference
radius
chord
diameter
Answer:
circumference
Step-by-step explanation:
it's a circle
The monthly cost of a short term disability insurance policy varies directly as the salary of the employee. Wanda has an annual salary of $38,500, and the monthly cost for her policy is $11.55. Randy has an annual salary of $49,500. What should Randy expect to pay for his policy?
Answer: $14.85
Step-by-step explanation:
Ww can solve the question using direct proportion with the formula y = kx
where y = annual salary
x = monthly policy cost.
k = constant of proportionality
Since y = kx
38500 = 11.55k
k = 38500 / 11.55
k = $3333.33
When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:
y = kx
49500 = 3333.33x
x = 49500 / 3333.33
x = 14.85
The amount that Randy expect to pay for his policy will be $14.85
Which ordered pair is a solution of the equation?
Answer:
D, neither
Step-by-step explanation:
If you want to solve this through elimination, just substitute the given points in each choice. (a,b) → (x,y)
In a coordinate the first number is the x value, and the second is the y.
All you have to do is substitute the indicated values given in the coordinate into the point slope equation, and determine whether or not the equation is true. If the equation is true (for example 1 = 1) the order pair IS a solution. If the equation is false (for example 1 = 2), than the ordered pair IS NOT a solution.
If you want to look at this linear equation solving for the quantity y, then use slope intercept.
Choice 1 is incorrect because (5,4) →
y - 4 = 7(x - 6) → (4) - 4 = 7((5) - 6) →
0 = 7(-1) → 0 = -7 (0 is never equal to -7) ; contradictory
Choice 2 is incorrect because (6,5) →
y - 4 = 7(x - 6) → (5) - 4 = 7((6) - 6) →
1 = 7(0) → 1 = 0 (1 is never equal to 0) ; contradictory
Therefore Choice 3 must be incorrect as well because neither of these two pairs are solutions, so combining two pairs that do not satisfy the equation does not make it any more true.
Since Choice 4 is the remaining choice, it must be the correct answer.
The points that fit on this line are given by the slope intercept equation: y = 7x - 3.
To convert point slope form to slope intercept form, first distribute everything in the parenthesis. Then remove all the terms besides y from the left side of the equation to the right:
y - 4 = 7(x - 6) → y - 4 = 7(x) + 7(-6) →
y - 4 = 7x - 42 → y - 4 + 4 = 7x - 42 + 4 →
y = 7x - 38.
Just substitute the x or y value into the equation, and find the corresponding y or x variable that fits the line.
Anybody pls help me by showing the proper working. Thank you
Hope this Helps!!
I'm not 100% sure of the first part though
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2, 2, 2, 2, 3
Prime factorization of 72: 2, 2, 2, 3, 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 2 ´ 3 ´ 3.
What is Ryan’s error?
Ryan did not include all the common factors in the greatest common factor.
Ryan did not list all the factors in the prime factorization of 48.
Ryan did not list all the factors in the prime factorization of 72.
Ryan found the least common multiple.
Answer:
Ryan found the least common multiple.
Step-by-step explanation:
(See attached for reference on LCM and GCF)
The method he used is to find the LCM
in this case the GCF should have been
2*2*2*3 = 24
Answer:
D on ed 2020
Step-by-step explanation:
i need help-.. like fast please
when given an equation were is m located dealing with slope
Answer: M is attached to x
Step-by-step explanation:
The equation in standard form is y = mx +b
m is attached and is modifying the value of x
can someone work out the angle of x
Answer:
66 degree
Step-by-step explanation:
we will find it out by Angle sum property.
Answer:
x=180-79-35
x=66
Step-by-step explanation:
angles in a triangle add up to 180
replace valuables with values and evaluate using order of operation. F(9c-5)+32 c=30
Replace c with 30:
F =9(30)/5 + 32
F = 270/5 + 32
F = 54 + 32
F = 86
In the figure below, m || n and p II q. Find the values of y and x.
Answer:
x= 33
y= 106
Step-by-step explanation:
4x-58=74
+58 +58
4x=132
4x/4=132/4
x=33
If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.
It is known that the If two parallel lines intersect another two parallel lines then all corresponding angles will be the same.
Therefore, 74 = 4x - 58
4x = 132
x = 33.
Since 74° and the adjacent angle of y° are made by two parallel lines on the same line thus both will also same.
The adjacent angle of y = 74°
Since, adjacent angle + y = 180°
y = 180 - 74 = 106°.
Hence "If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°".
To learn more about parallel lines;
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Translate the sentence into an equation
The sum of 4 times a number and 6 is 5
Use b as the unknown number
Thank you!!
Cross multiplication;
2/3 5/6
Do u just multiply 6 and 2, & 3 and 5????
Answer:
[tex]2 \div 3 \times 5 \div 6 \: = 10 \div 18[/tex]
We just have to multiply not cross multiply,
10/18
Now, divide the equation
5/9 will be ur answer
Answer:
No
Step-by-step explanation:
[tex]\frac{2}{3} \frac{5}{6}[/tex]
2 goes into 6 3 times so it would be the same as 1 going into 3 3 times.
[tex]\frac{1}{3} \frac{5}{3}[/tex]
Since 3 doesn't go into 5 at all (and by that I mean a whole number) you don't change it.
Multiplying 1/3 and 5/3, you would get 5/9.
Multiplying 2/3 and 5/6, you would get 10/18, which simplifies to 5/9.
That is kind of how cross multiplying works.
A local little league has a total of 75 players, of whom 20% are left-handed. How many
left-handed players are there?
Answer:
15
Step-by-step explanation:
75 x .20
15
What is the m for this slope?
Answer:
-3/4x
Step-by-step explanation:
Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.
Uhhh help please i cant do this rn im stuck
Answer:
i think its -2/1
slope= rise/run
Juanita will work for 4 7/8 hours at her job on Saturday. if she also volunteers for 2 1/3 hours at the hospital, how many hours will she be working and volunteering on Saturday?
A. 2 1/3 hours
B. 6 13/24 hours
C. 4 7/8 hours
D. 7 5/24 hours
Answer:
I think it's D...maybe
Step-by-step explanation:
please tell me !!!!!!
Answer:
H
Step-by-step explanation:
Its H because a square has 4 sides and 58 divided by 4 is 14.5
Does 80/100 equal -8
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
Сым сөзінің әдеби тілдегі баламасы
Answer:
what is heck you said "Literary equivalent of the word wire"
z +5 = 6
Help please
Answer:
z = 1
Step-by-step explanation:
z + 5 = 6
z = 6 - 5
z = 1
Topic: Algebraic equations
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
z equals 1 so 1 + 5= 6
z+5 = 6
-5 -5
z = 1
Determine the value of
y if x is 11
Y=|x-5|
The answer is 6.
Absolute value works like this:
If you have just a number inside the bars, then it's positive. If the negative sign is inside the bars, it's still positive. If the negative sign is outside the bars, regardless of what's inside the bars, then it's negative.
Basically, you are adding, because absolute values are positive, unless you have a minus sign outside the absolute value, so 6+5=11.
What you do is this:
y = |x - 5|
y = x + 5
y = 11 + 5
y = 6
Can Anyone tell me whats going on in this picture
Answer:
someones teacher?
Step-by-step explanation:
Answer:
um the man is teaching a boring classssssssss
Step-by-step explanation:
The original quantity is 10 and the new quantity is 13. What is the percent change?
3 is 13 more than 10, and 3 is 30% of 10, so 30% im pretty sure
Answer:
130%
Step-by-step explanation:
It's 130% because 10*130% is 13.
0.4(5x-15)=2.5(x+3) is this a infinite solution or one solution or no solution
Answer:
One solution
Step-by-step explanation:
The slope and y-intercept is different on both sides
The given equation has one solution which is the variable x = -27.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.
The equation is given in the question,
0.4(5x – 15) = 2.5(x+3)
Multiply both sides by 10
0.4(5x – 15) × 10=25(x+3) × 10
Refine
4(5x–15) =2.5(x+3)
Expand 4(5x-15): 20x-60
Expand 25(x+3): 25x+75
20x-60 = 25x+75
Add 60 to both sides
20x-60+60 = 25x+75 +60
Simplify the above equation,
20x=25x+135
Subtract 25x from both sides
20x-25x = 25x+135-25x
-5x = -135
Divide both sides by -5
-5x / -5 = -135/5
x = -27
Therefore, the given equation has one solution which is the variable x = -27.
Learn more about equations here:
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If ABC is the original and DEF is the image, what is the scale factor of this dilation ?
Answer:
The scale factor of this is 2
Step-by-step explanation:
Which two numbers on the number line have an absolute value of 2.75?
Select the location of both numbers on the number line.
Answer:
2.75 and -2.75
Step-by-step explanation:
The absolute value of 2.75 is 2.75 and the absolute value of -2.75 is 2.75
Find the difference. (−2g+7)−(g+11)
Answer:
Step-by-step explanation:
(-2g+7)-(g+11)
-2g+7-g-11
-3g-4
A 3 inch by 5 inch photograph is enlarged so that the longer side is 15 inches.
What is the length of the shorter side of the enlarged photograph
Answer:
the length of shorter side is 9 inches.
longer side is enlarged 3times
so shorter side will also be enlarged 3 times.
Which diagram represents an element that is likely to form covalent bonds? A purple circle with 2 concentric circles around it. The inner circle has 2 small green spheres. The outer circle has 1 small green sphere. A purple circle with 3 concentric circles around it. The inner circle has 2 small green spheres. The middle circle has 8 small green spheres. The outer circle has 5 small green spheres. A purple circle with 3 concentric circles around it. The inner circle has 2 small green spheres. The middle circle has 8 small green spheres. The outer circle has 8 small green spheres. A purple circle with 4 concentric circles around it. The inner circle has 2 small green spheres. The second circle has 8 small green spheres. The third circle has 8 small green spheres. The fourth circle has 2 small green spheres.
Answer:
d
Step-by-step explanation:
Answer:
i think the answer is either B or D on edge but i wanna go with B
Step-by-step explanation:
Because you need 8 electrons so B has 5 and D has 2 in the fourth ring so i wanna say B over D but i hope this helps mark me brainliest if so please