Answer:
Step-by-step explanation:
Let assume that the volume = 88 cubic feet
Then:
[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]
The construction cost now is:
[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]
Now, to determine the minimum cost:
[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]
[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]
Now;
[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]
[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]
Which lists the fractions and in order from least to greatest?
9/5,13/8,1 3/4
Answer:
A
Step-by-step explanation:
13/8, 1 3/4, 9/5
Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)
A. x > -(1)/2
B. x < -(1)/2
C. x > 2/3
D. x < 2/3
PLS ANSWER ASAP!! WILL MARK AS BRAINLYIST!!!!
time left (3:23)!!
Complete the table for all the lengths and widths that are missing for
Claire's garden.
*This is only some of the table from the problem.
Answer:
Step-by-step explanation:
x is 1,2,3,4,5
y is 14,13,12,11,10
helppppppppppppppppppppppppppppppppppppppppppp
Answer:
A
Step-by-step explanation:
Pi r^2 is the equation to solve any circle. R=5 in this case, so A is your answer.
If x = 2 and y = 4, what is 6x - 5y?
Answer:
-8
Step-by-step explanation:
6(2) = 12
5(4) = 20
12-20
-8
Answer:
44
Step-by-step explanation:
(6x4)+(5x4)= 44
Help me please please
9514 1404 393
Answer:
A: 8 ft²
B: draw diagonal AC; 4 ft²
Step-by-step explanation:
Part A: The area is given by the formula ...
A = bh . . . . . . . the product of base and height dimensions
A = (9 ft)(8/9 ft) = 8 ft² . . . . area of the parallelogram
__
Part B:
Either diagonal (AC or BD) will divide the parallelogram into two congruent triangles, each with the same base and height as the parallelogram. It is no surprise, then, that the area of either of those triangles is ...
A = 1/2bh
A = 1/2(9 ft)(8/9 ft) = 4 ft² . . . . . . area of triangular half of parallelogram
__
AC divides the figure into congruent acute triangles; BD divides it into congruent obtuse triangles.
asap
Five students, Jeremiah, Claire, Alyssa, Brody, and Hudson, line up one behind the
other. How many different ways can they stand in line?
Answer:
25 dfferent ways
Step-by-step explanation:
The answer is 25 different ways because since there are students and thy line up behind each other you would do 5 times 5 which equals to 25.
Please help.. You can answer one if you want but whoever answers both get brainliest
Answer:
l
Step-by-step explanation:
l
A public opinion survey investigated whether a majority (more than 50%) of adults supported a tax increase to help fund the local school system. A random sample of 200 adults showed that 113 of those sampled supported the tax increase.
Researchers used these results to test H0:p=0.5 versus Ha:p>0.5, where p is the true proportion of adults that support the tax increase. They calculated a test statistic of z≈1.84 and a corresponding P-value of approximately 0.033.
Assuming the conditions for inference were met, which of these is an appropriate conclusion?
A. At the α=0.01 significance level, they should conclude that more than 50% of adults support the tax increase.
B. At the α=0.01 significance level, they should conclude that less than 50% of adults support the tax increase.
C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
D. At the α=0.05 significance level, they should conclude that less than 50% of adults support the tax increase.
Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
Step-by-step explanation:
Given: Null hypothesis: [tex]H_0:p=0.5[/tex]
Alternative hypothesis: [tex]H_a: p>0.5[/tex]
p-value = 0.033
If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.
If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.
Conclusion: Exactly 50% of adults support the tax increase.
If α=0.05 then p-value < α i.e. we reject the null hypothesis.
Conclusion: more than 50% of adults support the tax increase.
Thus, Correct option: C .
Answer: At the a = 0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
Step-by-step explanation:
If the discount is 27%, then what percentage of the original price do you pay? Please give an explanation as well if you can! Thank you in advance.
Whoever answers correctly will get Brainliest. Stay happy and have a blessed rest of your day. :)
Which two integers is -√21 between?
Answer:
-5 and -4
Step-by-step explanation:
-√21 = -4.58
PLEASE HELP PLEASE! I AM SO STUCK!
f(x) = |7m + 4| = 1
First equation by taking positive modules
7m + 4 = 1
7m = -3
m = -3/7 . Ans.
Second equation by taking negative modules
-7m - 4 = 1
-7m = 5
m = -5/7 . Ans.
∴ m = [ -5/7 U -3/7 ] Ans .
At his birthday party, Aiden collected 15% of the candy that fell out of the pinata. If Aiden collected 6 pieces of candy, how many pieces of candy fell out of the pinata?
pls help its today
Answer:
40 pieces
Step-by-step explanation:
To make it easier I divided each number (15, 6) by 3 and then multiplied by 2.
10% of candy = 4 pieces
Multiply by 10
100% of candy = 40 pieces
Solve
(Perimeter)
Rectangle
Side- 10
Side- 5
Determine the solution
Answer:
:/
Step-by-step explanation:
:/
how many millitres of curry poweder are needed
Answer:
3 kfjdasidutiriqkvjcksot
Answer:
2 Tbsp
Step-by-step explanation:
Our simple homemade curry powder is an easy way to have instant access to curry powder, using spices that you probably already have in your pantry. (We have found that 2 Tbsp (6 tsp) of curry powder is typically enough to season one recipe of curry for 4 people.)
Hope it helps you. please give me brainliest if it is correct
pls help me understand this pls show how u got it
Answer:
25 inches
Step-by-step explanation:
Area is given as 75 in^2
Area of a triangle = 1/2 * base * height
75 = 1/2 (6) * height
75 / (1/2 * 6) = height
25 inches = height
each group of students receives a bag that has 4 red cubes, 9 green cubes and 7 blue cubes if if each group makes 200 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
evaluate the intergral2x(xsquared+3)exponent 4
Answer:
Step-by-step explanation:
I hope it helped you
Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.
Answer:
71 1/4%
Step-by-step explanation:
I think the change is percentage increase. the method of finding percentage iincrease is increase over percentage increase x 100%
Find the range of the data.
67, 63, 72, 62, 64, 81, 74, 66
The range is
WILL GET BRAINLEST
Answer: Range is 19
HOPE THIS HELP!
Solve for f(-7)
f(x)=5-x
f(-7)= ?
Answer:
7 f + 5 ??
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeee please
9514 1404 393
Answer:
2.1 ft³
Step-by-step explanation:
Put the given radius and height into the volume formula and do the arithmetic.
V = 1/3πr²h
V = 1/3(3.14159)(1 ft)²(2 ft) ≈ 2.094 ft³
Rounded to tenths, this is 2.1 cubic feet.
__
The picture cuts off your rounding requirements. If it is hundredths, you need to use 2.09 ft³. If it is thousandths, your answer will depend on the value of pi you are asked to use.
Solve for x in the equation x2 - 12x+ 36 = 90
Answer:
6 + 3[tex]\sqrt{10\\}[/tex] or 6 - 3[tex]\sqrt{10\\}[/tex]
Step-by-step explanation:
x^2 - 12x + 36 = 90
x^2 - 12x - 54 = 0
x = [tex]\frac{-b +/- \sqrt{b^{2} + 4ac }}{2a}[/tex]
a = 1, b= -12, c= -54
6 + 3[tex]\sqrt{10\\}[/tex] or 6 - 3[tex]\sqrt{10\\}[/tex]
Determine the value of x so that the numbers a1 = In(x + 2). a2 = In(x + 3).
a3 = In(4x + 8) form three consecutive members of an arithmetic sequence.
Select one:
a. Such x does not exist.
b. x = -+1
c. There are two possible solutions.
d. x = -1
e. None of the remaining possibilities is correct.
Answer:
Step-by-step explanation:
hello :
the numbers a1 , a2 ,a3
form three consecutive members of an arithmetic sequence means : 2a2 = a1+,a3
2 In(x + 3) = In(x + 2)+In(4x + 8)....(*)
now solve this equation use this note :
ln a^n = alna and : lna+lnb =lnab lna =lnb means : a=b ...a , b positif numbers
(*) equivaut : In(x + 3)² = In(x + 2)(4x + 8) and : x + 2 ,x + 3 , 4x + 8
are positifs numbers
(x + 3)² = (x + 2)(4x + 8)
x²+6x+9 = 4x²+16x+16
3x²+10x+7 =0
delta =10²-4(3)(7) 100 -84 = 4²
x1 = (-10-4)/6 = -7/3 reused
x 2 = (-10+4)/6 = -1 reused
conclusion : a. Such x does not exist.
Factor 7/10 out of 7/10z+21.
7/10z+21=
Answer:
1/100 (1471 z + 2100)
0.01 (1471 z + 2100) the result I got
and the Factorization over the splitting field:
14.71 z + 21
Please help
Look at picture
Answer:
1/3
Step-by-step explanation:
Let X and Y be the following sets:
X = {5, 10, 15}
Y = {3, 6, 9, 12, 15}
Which of the following is the set
XUY?
Answer:
XuY = { 3,5,6,9,10,12,15}
Please help with these two problems don't rip me off I'm being generous.
Answer:
8 is $230
Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230
Find the lateral area of this cone.
Leave your answer in terms of a.
12cm
5cm
LA = [ ?]