The largest possible volume of a rectangular parcel where the smallest end is a square that can be sent by mail according to USPS regulation is 11664 cubic inches.
The volume of a rectangular parcel with dimensions l, w, and h is lwh. We can express the volume of the rectangular parcel in terms of one variable, say l, as lwh = l(108 - 2l)h. We want to maximize this expression subject to the constraint that l is a positive number less than 54 (the maximum value for l that still allows the parcel to fit within the 108-inch limit).
Taking the derivative of the volume with respect to l and setting it equal to zero, we find that the maximum volume occurs when:
l = (27 inches)
At this value, the dimensions of the parcel are:
l = 27 inches
w = 27 inches
h = 2(108 - 2l) = 2(72) = 144 inches
The volume of the parcel is then:
lwh = (27)(27)(144) = 11664 cubic inches
This is the largest possible volume of a rectangular parcel where the smallest end is a square that can be sent by mail according to USPS regulations.
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Which of the following situations represents a proportional relationship?
F The amount of money in the piggy bank y, after x weeks. With an initial amount of
$35 and saving $80 per week.
The number of oranges y contained in x sacks if each sack has 45 oranges.
H The values of x and y. The value of x = 18 when y = 2, then x = 36 when y = 3.
I The weight a dog y, after x months if its initial weight is 5 pounds and gains 2
pounds per month
Answer:
The number of oranges y contained in x sacks if each sack has 45 oranges.
help please, special right triangles, find the value of each variable
(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
She knows that she needs to order carnations and roses for her grand opening in order to make
bouquets and vases to sell. She can order a maximum of 300 carnations and 250 roses. The following inequalities represent the total number of bouquets and vases she can make given the
orders she places. Let x represent the number of bouquets and y represent the number of vases.
If she wants to make 18 vases, what is the maximum number of bouquets she can make?
Answer:
x < -3/5y+ 30
Step-by-step explanation:
x < -3/5y+ 30 for the first one
addboth sides by 6y then divideboth sides by 10
cuantos números primos hay entre 30 y 40?
Answer:
Dos numeros primos
Step-by-step explanation:
31 y 37 no son productos de dos números naturales más pequeños. Los otros numeros entre 30 y 40 son compuestos.
When rolling a die, calculate the probability as a fraction of rolling an even number. The probability is
Answer: 3/6
Step-by-step explanation:
Country bank pays a simple interest rate of 4% per year. A student plans to invest 5000. How much money will the student have at the end of 6 years
Answer:
$6200
Step-by-step explanation:
Given data
Rate= 4%
Principal=$5000
Time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=5000(1+0.04*6)
A= 5000(1+0.24)
A=5000*1.24
A=$6200
Translate 4 units right and 3 units up.
Answer: Hope this helps! Sorry if it looks a little messy. Have an amazing day!
Step-by-step explanation:
An art teacher is making packages of paintbrushes and plant for his students.
He has 24 brushes and 40 tubes of paint. Each package will have the same number
of brushes and the same number of tubes of paint.
a. What is the greatest number of packages that the art teacher can make using
all the paintbrushes and paint? Show your work.
Answer:
yall help out alot
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth. 7 5
Answer:
11.66
Step-by-step explanation:
As far as I remember the Pythagorean theorem states that A squared + B squared = C Squared. A and B are your 2 input numbers so therefor 6squared + 10squared =136 but you have to find the Square root of that because you added the other two squared numbers. Your answer is approximately 11.661903
Which shape below is the pre-image. How can you tell?
Answer:
the red one is the pre image because if there is two of the same letters then there is a dash behind the second letter.
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!
Rosie is building a wheelchair ramp that is 24 feet long and 2 feet high. She needs to install a vertical support piece 16 feet from the end of the ramp. What is the length of the support piece in inches?
Answer:
40ft 480inches
Step-by-step explanation:
the width of a rectangule is 4 feet and the diagonal length of the rectangle is 13 feet, which mesurment is closest to the length of this rectangle in feet
Answer:
52 feet
Step-by-step explanation:
Answer:9 feet
Step-by-step explanation:
Find missing side? Soh cah toa
Answer:
x ≈ 14.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{17}[/tex] ( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.6 ( to 1 dec. place )
A circular plate has a diameter of 9 inches. What is the area of the plate? Explain the steps you follow to get to your answer
Answer:
The area of the circular plate is: " 63.59 in² " .
______________________________________________________
Note:
______________________________________________
diameter, "d" = 9 in. (given).
radius, "r" = "d/ 2 " = "(9 inches) / 2 " = 4.5 in.
______________________________________________
Area of a circle, "A" :
A = * r² ;
in which: "A = Area of circle ("plate"); in units of "square inches"; or "in² " ;
" = 3.14 " {approximation we shall use} ;
"r = radius = 4.5 in." ;
________________________________________________________
Plug in our known values to solve for the area, "A" :
A = (3.14) * (4.5 in)² ;
A = (3.14) * (4.5)² * (in²) ;
A = (3.14) * (4.5) * (4.5) * (in²) ;
A = 63.585 in² ; round to: " 63.59 in² " .
_____________________________________________
Step-by-step explanation:
If a parabola opens downward, the highest point on the graph is called the ____ of the parabola.
Answer:
vertex
Step-by-step explanation:
BRAINLIEST
a. 2 root of 5
b. 4
c. 4 root of 5
d. 3
Answer:
4
Step-by-step explanation:
Because the height would be half of the base.
Hope this helps ^-^
Que funciones madre tienen su punto de inicio en el origen
Answer:
Funciones radicales
Step-by-step explanation:
Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.
Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?
Answer:
No she will not have enough topsoil for the flower bed.And she is not correct.Because every pound is 16 ounces.so 600 ounces is only 37.5 pounds
Step-by-step explanation:
3×200=600600÷16=37.5Hope this helps :)
dar el perímetro de un círculo con diámetro de 8.
dar el area de un círculo dado el radio de 12
B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter
An equilateral triangle is
Always/sometimes/never
similar to a scalene triangle, because we can
sometimes/always/never
map one onto the other using only dilations and rigid
transformations?
Answer:
sometimes similar to a scelene triangle because we can never
What is the solution to this using substitution method pls show ur work
Answer:
x=-6, y=0
Step-by-step explanation:
Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.
Percy wrote a total of 15 pages over 5 hours. After spending 6 hours writing this week, how many pages will Percy have written in total? Assume the relationship is directly proportional. pages
Help me find the value of W
Answer:
what grade is this?
Step-by-step explanation:
4. Figure RST has been rotated 90 degrees clockwise to form figure OPQ.
Which of the following statements is true?
AD
O
T
is a
O meRem20
RS - PQ
O
STOP
m2S = m_P
Answer:
D
Step-by-step explanation:
i did this
The true statement is (d) m<S = m<P
How to determine the true statement?When a figure is rotated, the side lengths and the angle measures of the figure remain unchanged.
This means that:
The figure RST is congruent to the figure OPQ.
The choice of option that supports the above highlight is
m<S = m<P
Hence, the true statement is (d) m<S = m<P
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What is the area of the figure?
A figure consists of a right triangle and 2 rectangles. The right triangle has legs 3 and 4 centimeters long and hypotemuse 5 centimeters long. One rectangle is 3 centimeters long and 4 centimeters wide. The other rectangle is 1.5 centimeters long and 4 centimeters wide.
A. 12 cm2
B. 24 cm2
C. 28 cm2
D. 42 cm2
Answer:it’s c
Step-by-step explanation:
PLZZZ ANSWER HURRY 25 POINTS
Answer:
3
Step-by-step explanation:
Joseph is a college student at The University of Texas. He made good grades in high school and received a scholarship that pays for his school, housing and books. Joseph does not have a car, but still needs to pay for his own meals. He calculates that he needs to make at least $450 per month. He has a job working at the bookstore and gets paid $15 per hour. What is the minimum number of hours that Joseph must work per week to make $450 per month?
A. 40 hours
B. 7.5 hours
C. 22.5 hours
D. 11 hours
Answer:
Step-by-step explanation: cap
Answer: 7.5
Step-by-step explanation:
I don't have the energy to explain but trust me in this guys you're welcome I did a lot of math but 7.5 is the answer /srs
Can someone explain this lol thanks Find the volume of the rectangular
prism.
4
3
9
[?] units
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-4,-6). What is the vertex of the function defined as
g(x) = f(x) + 3?
Answer:
(- 4, - 3 )
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
For
g(x) = f(x) + 3
This is the graph of f(x) shifted 3 units up
Given the vertex of f(x) = (- 4, - 6 ), then
vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )