Answer:
d
Step-by-step explanation:
1+3=4
Explain,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:
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]
it takes 2 days to repair 150 meters of road. at this rate, how many days will it take to repair 6 kilometers of road?
Answer:
4 ndays
Step-by-step explanation:
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
TJ invested $4000 in a bond at a yearly rate of 2% for 30
months. How much interest did she make?
Answer:
2.5 years
Step-by-step explanation:
I = 200 T=200/4000 0.2 = 2.5 years
P= 4000
R = 2% 0.2
T = ?
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!
PLEASE HELP| calculate measure of angle H. round answer right nearest tenth of a degree
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Answer:
28.1°
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(H) = 8/17
H = arcsin(8/17)
H ≈ 28.1°
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
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.
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
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
help. ...................................:))))))))))))))
Answer:
4in²
Step-by-step explanation:
area of rectangle = l x b = 4 x 1 = 4in²
Answer:
4 in²
Step-by-step explanation:
4x1 is 4 so the answer is 4
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
An office building has the dimensions
shown. What is the volume of the building?
50 m
10 m
110 m
90 m
70 m
Answer:
330 the volume of building
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:
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
→XxKim02xXPlease help me!! I don’t get this!
Answer:
2. d) (x-1)²+(y+5)²=128
3.c) (x-3)²+(y+2)²=841
Step-by-step explanation:
Simplify the expression completely:
(x^2*y^7)^5
Answer:
x10
y35
or
xxxxxxxxxx yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
8% of _ Days is 4 days
Answer:
50
Step-by-step explanation:
Classify the triangle
Answer:
This triangle is an isosceles acute
Step-by-step explanation:
First lets define each classification
scalene - no equal sides
isosceles - two equal sides
equilateral - all equal sides
acute - all angles have a measure of less than 90 degrees
right - has a right angle (90 degree angle)
obtuse - has an angle that has a measure of more than 90 degrees
Now lets classify
The triangle has two equal sides (indicated by the little line on the top and bottom side) therefore it is an isosceles triangle
We know its an acute triangle because the one angle given is not a right angle nor a obtuse angle meaning that the other two angles are going to have a measure of less than 90 degrees
So we can conclude that this is an isosceles acute triangle
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
What is the value of v? (help no links and thx)
Answer:
74.7
Step-by-step explanation:
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
Kayla and her children went into a restaurant and she bought $63 worth of hotdogs
and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more
hotdogs than tacos. Write a system of equations that could be used to determine the
number of hotdogs and the number of tacos that Kayla bought. Define the variables
that you use to write the whats the system of equation.
Answer:
x= hotdogs
y=tacos
Step-by-step explanation:
(3.50)x+ 3x + 4y= 63
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
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.
Lin’s needs 192 cupcakes each baking sheet can make 16 cupcakes how many sheets are needed to make all cupcakes
Answer:
Lin's needs 12 sheets to make all cupcakes.
Step-by-step explanation:
To find the answer we will divide 192 by 16, and we get 12. Therefore, 12 is our answer.
Answer: I think the answer is 12 I'm sorry if its wrong
Write and graph the inequality represented: chase needs to make more than nine dollars an hour let w represent the hourly wage
Answer: I dont know im sorry
Step-by-step explanation:
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
Ther *must* be an faster way of symplifying this expression. What could I have done differently?
Answer:
3x4
Step-by-step explanation:
You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12