Answer:
[tex]x=10\sqrt[3]{2}[/tex]
Step-by-step explanation:
The Volume of a box with a square base
x by x cm and height h cm is
V =x^2h
The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.
The surface area of the box described is
A = x ^2 +4 x h
We need
A as a function of x alone, so we'll use the fact that
V= x^2h = 1000 cm^3
This imples [tex]h=\frac{1000}{x^2}[/tex]
This makes
[tex]A= x^2 + 4x(1000/x^2)\\A= x^2+4000/x[/tex]
Differentiating A w.r.t. x
[tex]A' = 2x-4000/x^2[/tex]
Now, A'=0
[tex]x=10\sqrt[3]{2}[/tex]
Therefore, minimum value x = [tex]x=10\sqrt[3]{2}[/tex]
Ashley goes to the fair. She is charged $15.00 for admission plus $0.50 for each ride ticket. Ashley has $24.00 to spend at the fair. Write and solve an inequality to represent this situation. Explain what the solution to the inequality means in this situation.
Answer:
15 + x(.5) = 24 ; x = 18
Step-by-step explanation:
15 + 18(.5) = 24
15 + 9 = 24
Step-by-step explanation:
t is the number of ride tickets she can buy.
=>
[tex]15 + t \times 0.5 \leqslant 24[/tex]
she has to pay $15 just for entering. the rest of the money she can use for ride tickets.
so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.
the $15 admission goes off the $24 available money. that leaves $9.
each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.
so, again
[tex]15 + t \times 0.5 \leqslant 24[/tex]
[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]
[tex]t \times 0.5 \leqslant 9[/tex]
[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]
[tex]t \leqslant 18[/tex]
What is the slope of the line that contains the
points (-6, 1) and (4,4)?
Answer:
3/10
Step-by-step explanation:
y2 - y1 / x2 - x1
4 - 1 / 4 - (-6)
3/ 10
Answer:
Step-by-step explanation:
y1-y2
--------
x1-x2
so
and (x1,y1) and (x2,y2) are those points so plug it in
(1-4)/(-6-4) so that simplifies to -3/-10 so just 3/10 is the slope.
Hope this helps!
8 divided by 3 over 5
Answer:
15.625
Step-by-step explanation:
5x5x5 =125 /8 = 15.625
Answer:
13.33333333 or 40/3
Step-by-step explanation:
hope this helps
have a great day/night
x/2
If x = 16, what is the solution?
A 8
B 9
C 14
D 32
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\rm{YOUR\ EQUATION: \dfrac{x}{2}}[/tex]
[tex]\large\text{If x = 16, then substitute it where the x-value is in the given equation}[/tex]
[tex]\rm{NEW\ EQUATION: \dfrac{16}{2}}[/tex]
[tex]\rm{\dfrac{\bold{16}}{{2}}[/tex]
[tex]\rm{= \underline{\bf 8}}[/tex]
[tex]\large\text{Because, 8}\times\large\text{2 gives you 16}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf Option A. 8}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
2.5 km= M
Help me please
Answer:
2,500
Step-by-step explanation:
Have a good day :)
math is hard
I'll mark someone the brainlyest
Answer:
1/w^6 or w^-6
Step-by-step explanation:
You add the two exponents
I recommend putting 1/w^6
Please mark brainliest
A sector with an area of 30pi cm^2 has a radius of 10 cmWhat is the central angle measure of the sector in degrees?
The two quantities are in proportion. Find the missing value.
Answer:
297
Step-by-step explanation:
Since we have to make 9 as the whole, and 33 is the denominator to make 9, we need to multiply 9*33=297.
This makes no sense if you hear it. But trust me it is the right answer i think.
Adult tickets to a football game costs $6 and student tickets cost $2. A total of $1776 was collected on tickets 372. How many adult tickets were sold?
Answer:
s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets
Step-by-step explanation:
Identify the vertex:
f (x) = -x^2+ 10x
Answer:
(5,25)
Step-by-step explanation:
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help asap thank you no links please and thank you .
Answer:
p = 4n
p = 312 passengers
n = 19.5 cars
Step-by-step explanation:
Let
n = number of cars
p = number of passengers
a. p = 4n
b. p = 4n
Find p if n = 78
p = 4n
p = 4 * 78
p = 312 passengers
c. Find n if p = 78
p = 4n
78 = 4n
Divide both sides by 4
78 / 4 = 4n / 4
19.5 = n
n = 19.5 cars
Find the next 3 terms of the following sequence 10,17,24
Answer:
31,38,45
Step-by-step explanation:
Answer:
31, 38, & 45
Step-by-step explanation:
The sequence 10, 17, 24 increases by 7 each term.
10 + 7 = 17
17 + 7 = 24
24 + 7 = 31
31 + 7 = 38
38 + 7 = 45
hi :)
TODAY IS THE LAST DAY OF SCHOOL YESSSSSSSSSSSSSSSSSSSSSSSSSSSS
KDAFJL;'JKLZBDS KJ.XZN,M
LETS GOOOOOOOOOOOOOOO
Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of 7 or use 3.14 for 1 and enter your answer as a decimal.
units2
Answer:
A = 64 pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi * 8^2
A = 64 pi
Andre currently runs a total of 12 Miles each week. he plans to increase the number of miles he runs each week by a 1.5 miles until he is running a total of 26 miles each week. how many weeks will it take Andre to reach his goal?
Answer:
1.5x+12=26
Step-by-step explanation:
Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles, so number of miles increased in x weeks will be 1.5x and total number of miles ran in x weeks will be 1.5x+12.
Since Andy wants to reach a total of 26 miles per week, so we will equate the total number of miles ran in x weeks with 26.
The perimeter of a regular pentagon is 60 meters. How long is each side of the
pentagon?
Answer and Step-by-step explanation:
To find out how long each side is, divide 60 by 5 (since there are 5 sides in a pentagon).
60 divided by 5 = 12.
Each side is 12 meters long.
#teamtrees #PAW (Plant And Water)
what is the volume of a cube that has a height of 10 inches.
Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base that
is 10 cm by 10 cm.
How many times as toll is the box with the smaller base?
times as tall
Can somebody please help me out this test is due tomorrow and this is hard
Answer:
4 times
Step-by-step explanation:
Hope this helps!
Simplify for ez fast points!
Answer:
-81
Step-by-step explanation:
-3 ^4
The negative is not included in the exponent
- (3)^4
- 3*3*3*3
-81
how do you put pie into a calculator???
Answer:
either take the value as 3.14 or press SHIFT x10^x
PLEASE HELPP!!! NO FLIE OR LINKS
decide whether each is a rhombus, rectangle, square, none of these, or all of these
Answer:
The first one is a square! The second is none of these because its a trapezoid
Step-by-step explanation:
Answer:
7. all of the above
9. none of these
Step-by-step explanation:
graph number 7
you will see from the diagonal test that the diagonals of this shape are congruent. All four angles in the interior are congruent making it a rhombus. The outside side lengths are all equal to 6.71. Making it a rectangle. The definition of a square is if it is both a rectangle and a rhombus then it is a square.
graph number 9
you can plainly see that this is a trapazoid which is none of either of these choices.
hope this helps.
Determine whether the equation below has one solution, no solution, or infinitely many solutions: 3x − 15 = 3(x − 6)
Answer:
No solutions
Step-by-step explanation:
3(x-6)= 3x-18
3x=15≠3x-18
Construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The whole will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide. The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per cubic foot. What is the least number of truckloads needed to remove all of the soil ?
Answer:
5
Step-by-step explanation:
Can anyone help me with this plz
Long division method of 47089. What’s the square root of 47089 in long division method? Do write it in simple way please.
Answer:
use math.way
Step-by-step explanation:
pls help im so bad at math
Angle E and D are supplementary and need to equal 170 when added together.
Angle D = 180-35 = 145
Angle D is split into two with part of it being 44
The missing angle is 145-44 = 101 degrees
The answer is 101
Solve 2x - 3y - 11 3x + 3y - 9 by elimination. Express your answer as an ordered pair.
Answer:
x= 4, y = -1
Step-by-step explanation:
2x-3y=11
3x+3y=9
do addition and you should get
5x=20
x=4
plug in x into any equation
12+3y=9
3y= -3
y=-1
1/7h=3
What is the value of h in the equation?
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{7}h= 3}[/tex]
[tex]\large\text{MULTIPLY 7 to BOTH SIDES}[/tex]
[tex]\mathsf{7\times\dfrac{1}{7}h = 7\times3}[/tex]
[tex]\rm{CANCEL: 7\times\dfrac{1}{7}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\rm{KEEP: 7\times3\ because\ that\ gives\ you\ the\ h-value}[/tex]
[tex]\larg\text{TEMPORARY new EQUATION: }\mathsf{7\times3=\bf h}[/tex]
[tex]\mathsf{7\times3=h}[/tex]
[tex]\mathsf{7\times3=\bf 21}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf h = 21}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Is anyone willing to do my ixl? I have loads of work to do and I need my ixl due tonight. It’s 8th grade math and I’d appreciate any help
I cover a certain distance in 3 hours. If my speed increases by 1/3, why is my travel time not also reduced by 1/3 (so travel the same distance in 2 hours)?
Answer:
t = 2.25 h
Step-by-step explanation:
In the case, I cover distance d in 3 hours
d = 3 * v₁ (1)
In the second case my speed increase by 1/3 then my speed is
v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁
my new speed is (4/3) * v₁ and
d = (4/3)*v₁ * t (2)
Dividing (2) by (1) we get
1 = (4/3) *v₁*t/ 3*v₁
1 = (4/9)*t
t = 9/4 h
t = 2.25 h