Answer:
27
Step-by-step explanation:
The madian is gis
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume
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]
If 12% of x is 72 and 1/8 of y is 16 what is the value of x-y
Answer:
x is 600 and y is 128:
so the answer is 472!
Simplify
b + 4 + 4 + b=
Answer:
2b+8 is the simplify expression
Answer:
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
__________________________
another way
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
= b = [tex]\frac{8}{2} \\\\[/tex]
= b= 4
Ans: b= 4
Violet will make a total of 58 semiannual loan payments of $1220 dollars each. If her bank charges an annual interest rate of 3.4% compounded semiannually, how much will the loan balance be 3 years from the end the loan?
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Answer:
$6903.47
Step-by-step explanation:
The principal due when there are 6 payments left can be found from the amortization formula.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where principal P is earning annual interest r compounded n times per year for t years. A is the payment in each of the n time periods.
Using the given information, you have ...
$1220 = P(0.034/2)/(1 -(1 +0.034/2)^(-2(3))) = 0.1767226P
Then the principal P due at the time of interest is ...
P = $1220/0.1757226 ≈ $6903.47
The balance 3 years from the end of the loan is $6903.47.
What is the value of x?
Answer:
30
Step-by-step explanation:
the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
A rental car company charges $40.18 per day to rent a car and $0.05 for every mile driven. Jacob wants to rent a car, knowing that:
He plans to drive 75 miles.
He has at most $270 to spend.
Which inequality can be used to determine dd, the maximum number of days Jacob can afford to rent for while staying within his budget?
A. 270≥40.18(3.75+d)
b.270≥40.18d+3.75
c.270≤40.18d+3.75
d.270≤40.18(3.75+d)
Answer:
b) 270 ≥ 40.18d + 3.75
Step-by-step explanation:
Per day is a variable, so it's 40.18d
Per mile is also a variable so 0.05m
40.18d + 0.05m ≤ 270
40.18d + 0.05(75) ≤ 270
40.18d + 3.75 ≤ 270
Answer: 270 ≥ 40.18d + 3.75
The Smiths are moving across the country. Mr. Smith leaves 5 hours before Mrs. Smith. If he averages 75mph and she averages 95mph, how many hours will it take Mrs. Smith to catch up to Mr. Smith?
Answer:
How much of a head start in miles did Mr. Smith have?
+d%5B1%5D+=+60%2A4+
+d%5B1%5D+=+240+ mi
------------------
Start a stopwatch when Mrs. Smith leaves. Let +t+
= the time on the stopwatch in hrs when Mrs. Smith
catches up with Mr. Smith.
Let +d+ = the distance in miles that Mrs. Smith
travels until she overtakes Mr. Smith
------------------
Mr. Smith's equation:
(1) +d+-+240+=+60t+
Mrs. Smith's equation:
(2) +d+=+80t+
-------------------
Substitute (2) into (1)
(1) +80t+-+240+=+60t+
(1) +20t+=+240+
(1) +t+=+12+
Mrs. Smith overtakes Mr. Smith in 12 hrs
-------------------
check:
(2) +d+=+80t+
(2) +d+=+80%2A12+
(2) +d+=+960+ mi
and
(1) +d+-+240+=+60t+
(1) +d+-+240+=+60%2A12+
(1) +d+=+240+%2B+720+
(1) +d+=+960+ mi
What is the 70th term in the sequence? 4, 8, 12, 16...
Answer:
276
Step-by-step explanation:
that's the correct answer
Answer:<3
Step-by-step explanation: 280 is right on acellus
Which is not a true statement about the disadvantages of certain methods of payment?
Answer:
I dont know explaining more its not clear plz explaining ore
Priscilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost $8.39 how much does Priscilla sell each scarf for?
Answer:
SP = $32.89
Step-by-step explanation:
Given that,
CP of every scarf = $8.39
Profit = $24.50
We need to find the SP for each scarf. We can find it as follows :
SP = CP +profit
SP = 8.39+24.50
SP = $32.89
So, Priscilla sells each scarf for $32.89.
Phyllis snow borrowed 3200 to pay for a new roof. She signed a 6-month promissory note at 12% interest. find the amount
What is (x2 + 9x+ 18) / (x+6)
Answer:
x+3
Step-by-step explanation:
[tex]\huge{\mathbb{\tt {ANSWER↓}}}[/tex]
Factor the numerator and denominator and cancel the common factors.
[tex]\color{green}{\tt {x+3}}[/tex]
[tex]\huge{{\tt { STEPS↓}}}[/tex]
[tex] {x}^{2} + 9x \: + 18 \\ x + 6[/tex]
[tex]\color{red}{\tt { FACTOR \: x² + 9x +18: ( x+3)(x+6)}}[/tex]
[tex]\color{purple}{\tt { (x+3)(x+6)}}[/tex]
[tex]\color{purple}{\tt { x+6}}[/tex]
[tex]\color{black}{\tt{Cancel \: the \: common \: factor:}} \: \color{blue}{\tt( x+6)}[/tex]
[tex]\color{green}{\tt{ x+3}}[/tex]
#CarryOnLearning
#LetsEnjoyTheSummer
→XxKim02xXExplain,why is having no free time a bad thing?
Answer:
because it helps you feel happieness and your not feeling it
Step-by-step explanation:
Apply the elimination method to solve the system of equations 2x+6y=8 and 3x+2y=2 which three statements are correct
Answer: x= -2/7, y = 10/7
Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2
Multiply equation 2) by -3 and you get -9x -6y = -6.
Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:
3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7
can you help me with this
Answer:
x = 18
Step-by-step explanation:
Sum of exterior angles of any polygon = 360
2x + 2x + 3x + 4x + 4x + 5x = 360
20x = 360 {Divide both sides by 20}
x = 360/20
x = 18
Mariah and Caitlyn are moving a sofa for their teacher. If the sofa weighs 350 kg, how fast did the sofa accelerate if a 48 N force was applied?
Answer:
[tex]7.291(6)\frac{m}{s^2}[/tex]
Step-by-step explanation:
Firstly, there's definitely large friction with a sofa, so we cannot answer.
Assming there is no friction:
The acceleration is directly proportional to force and inversely proportional to mass (makes sense, right?)
[tex]a = \frac{F}{m}\\a = \frac{350kg}{48N} = \frac{350kg}{48\frac{kg\cdot m}{s^2}} = \frac{350}{48}\frac{m}{s^2} = 7.29166666\ldots\frac{m}{s^2}[/tex]
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answer:
90
Step-by-step explanation:
A vector v has initial point (5,-2) and terminal point (1, -3). Write v in the form v=ai+bj.
Answer:
v= -4i-j
Step-by-step explanation:
we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.
2. 19 x - x = + 1, what is the value of x?
Answer:
x=1/18
Step-by-step explanation:
19x-x=+1
18x=+1
x=1/18
Which of the following is closest to the volume of the cone? Use n=3.14.
904 cubic feet
21,704 cubic feet
5426 cubic feet
16,278 cubic feet
Answer:
B. 21,704 cubic feet
Step-by-step explanation:
Hope this helped
Simplify the expression completely:
(x^2*y^7)^5
Answer:
x10
y35
or
xxxxxxxxxx yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
which statement correctly compares the two functions given below? f(x) =-32x-17 g(x) =-8x+12 A. Function f(x) decreases at a rate 4 times faster than function g(x) B. Function g(x) decreases at a rate 24 times faster than function f(x) C. Function g(x) decreases at a rate 4 times faster than function f(x) D. Function f(x) decreases at a rate 24 times faster than function g(x)
Answer: A
Step-by-step explanation:
Помагите даю оччен много баллов
Answer:
2. 4.46
3. 12
Step-by-step explanation:
2. D = [tex]\frac{P}{\pi }[/tex] = [tex]\frac{14}{3.14}[/tex] = 4.458 = 4.46
3. [tex]\frac{4}{5} = \frac{x}{15}[/tex]
5 * x = 4 * 15
5x = 60
x = [tex]\frac{60}{5}[/tex] = 12
find two numbers whos diffrence is 16 and the product is 720
Answer:
the numbers who's difference is 16 and the product is 720 is
36 &20
Explanation:
to finding numbers you have to express the equation in a quadratic equation then Factor it.
since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.
x(x-16)=720
x²-16x=720
x²-16x-720=0
(x-36)(x+20)
there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.
To find the second number
x-16=20
x=20+16
x=36
the second number is 36
Now to check
36-20=16
20*36=720
What is the area of this figure?
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Answer:
288 cm²
Step-by-step explanation:
The figure decomposes into two rectangles and a triangle.
It is helpful to realize the overall horizontal length of the figure is 16+10+6 = 32 cm. That means the triangle at lower left has a width of 32-13 = 19 cm. Of course the bottom rectangle has a width of 10+6 = 16 cm.
The upper rectangle has an area of ...
A = LW = (6 cm)(4 cm) = 24 cm²
The lower rectangle has an area of ...
A = LW = (16 cm)(7 cm) = 112 cm²
The triangle has an area of ...
A = 1/2bh = 1/2(19 cm)(16 cm) = 152 cm²
__
Then the total area of the figure is ...
24 cm² +112 cm² +152 cm² = 288 cm²
Can someone pls help me
Answer:
x = 15.42
Step-by-step explanation:
cos 63° = 7/x
0.4540 x = 7
x = 15.42
Find the center and radius of the circle defined by the equation given below. x ^ 2 + 2x + y ^ 2 + 10y = 15?
Answer:
Step-by-step explanation:
Remark
Complete the square for x and for y.
complete for x
x^2 + 2x + (2/2)^2
(x + 1)^2
Complete square for y
y^2 + 10y + (10/2)^2
(y + 5)^2
Now put these two together
(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2
(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1
(x + 1)^2 + (y + 5)^2 = 41
Answer
Center: (-1,-5)
radius: (sqrt(41) = 6.403
Question 7 of 10
What is 7C4?
A. 10
B. 14
C. 28
D. 35
SUBMIT
Answer:
35
Step-by-step explanation:
7!/ 4! 3! = (7 ·6 ·5) ÷ (3 · 2) = 7x5 = 35
Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, John Wiley, 1977) describe an experiment conducted to investigate warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable is the amount of warping. Some of the data are as follows:_____.
40 100 Temperature (°C) 50 75 100 Copper Content (%) 60 80 16, 21 24, 22 18, 13 17, 12 18, 21 25, 23 23, 21 23, 22 17, 20 12,9 16, 12 21, 17 28, 27 27,31 30, 23 125 29, 31
Do a complete analysis. Your analysis should include the following 1. What are the factors, respective factor levels and the response variable? 2. Check the two assumptions. 3. Check overall model significance using ANOVA table 4. Check the significance of Interaction effect and Main effects (If necessary) 5. Conclusion.
Answer:
Design Expert Output Response: Warping ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 968.22 15 64.55 9.52 < 0.0001 significant A 698.34 3 232.78 34.33 < 0.0001 B 156.09 3 52.03 7.67 0.0021 AB 113.78 9 12.64 1.86 0.1327 Residual 108.50 16 6.78 Lack of Fit 0.000 0 Pure Error 108.50 16 6.78...
Step-by-step explanation: