Answer:
2x³ + 4x² cub. inches
3x³ + 36x² + 105x cub. inches
x³ + 32x² + 105x cub. inches
Step-by-step explanation:
Volume of the small box = x × 2x × (x + 2)
= 2x²(x + 2)
= 2x³ + 4x² cubic inches
Volume of the large box = (x + 5)(x + 7) × 3x
= (x² + 12x + 35) × 3x
= 3x³ + 36x² + 105x cubic inches
Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)
3x³ + 36x² + 105x - 2x³ - 4x²
x³ + 32x² + 105x cubic inches
A dump truck is filled with 82.16 pounds of gravel. It drops off 77.29 pounds of gravel at a construction site. How much gravel is left on the truck?
Answer:
4.87lbs
Step-by-step explanation:
82.16-77.29=4.87
Select Is a Function or Is not a Function to correctly classify each relation.
Is a Function Is not a Function
{(2,2),(4,4),(6,6),(8,8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0,3),(3,5),(5,6),(8,4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1,2),(3,3),(4,8),(6,3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3,4),(5,2),(5,6),(7,3)}
Answer:
1.is a function
2. is a function
3. is a function
4. is not a function
Step-by-step explanation:
Combine the like terms to create an equivalent expression -2x-x+8
Answer:
x+6
x+6
x+6 is the right ans
It costs 3 tickets to play a game at the fair. If you spent 21 tickets on the game, which equation could you use to solve for the number of games, g?
Answer:
3×g=21
..............
Poppy is the manager of a unisex hair salon.
The salon uses a mixture of three products for hair colouring
This table shows the number of millilitres (ml) of each product used for the mixture
Product
Amount
Colour
30ml
Developer
60ml
Conditioner
60ml
Poppy has the following amount of each product in stock
3.5 litres of Colour
0.5 litres of Developer
2.2 litres of Conditioner
The salon has about so appointments for hair colouring per month
Poppy can only order products in whole litres.
For next month, she thinks she has enough colour and conditioner in stock but she needs to
order 4 litres of developer
24 Is Poppy correct?
Explain your answers
Show your working
Examiner
use only
(5 marks)
The content of the mixture, which are the colour, developer, and
conditioner, are in a fixed proportion to each other.
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.Reasons:
The table of the amount of each product used in the mixture are;
[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]
The number of appointment per month = 50
The quantities used per month have a proportional relationship
Quantity used a month are;
Colour = 30 ml × 50 = 1,500 ml
Developer = 60 ml = × 50 = 3,000 ml
Conditioner = 60 ml × 50 = 3,000 ml
Quantity available are;
Colour = 3.5 liters
Developer = 0.5 liters
Conditioner = 2.2 liters
The quantity needed = Quantity used - Quantity available
Therefore;
Quantity needed are;
Colour = 1,500 ml - 3,500 ml = -2,000 ml
Developer = 3,000 ml - 500 ml = 2,500 ml
Conditioner = 3,000 ml = 2,200 ml = 800 ml
Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner
Therefore, she should order;
3,000 ml = 3 liters of developer
1,000 ml = 1 liter of conditioner
Therefore;
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.
Learn more about proportional relationships here:
https://brainly.com/question/25610267
https://brainly.com/question/14567016
After a discount of 25%, the sale price of a game system is $149.25. what is the original price?
Answer:111.94
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
25% = 25/100 = 25 ÷ 100 = 0.25.
100% = 100/100 = 100 ÷ 100 = 1.
New value =
149.25 - Percentage decrease =
149.25 - (25% × 149.25) =
149.25 - 25% × 149.25 =
(1 - 25%) × 149.25 =
(100% - 25%) × 149.25 =
75% × 149.25 =
75 ÷ 100 × 149.25 =
75 × 149.25 ÷ 100 =
11,193.75 ÷ 100 =
111.9375 ≈
111.94
Find the slope of the line.
Ay
6
-2, 4)
(
4
2
(2, 2)
-4
-2
2
4
Х
-2
4
The slope is
Answer:
-1/2 is the slope of the graph.
Find the volume of a pyramid with a square base, where the perimeter of the base is 18.1 ft and the height of the pyramid is 28.1 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
191.8
Step-by-step explanation:
Hope this helps!
Step-by-step explanation:
the volume of a pyramid is
base area × height / 3
the base area here is a square.
we know its perimeter : 18.1 ft, which is 4 times the side length.
so, one side of the square is :
18.1/4 = 4.525 ft
the area of the square is side² = 4.525² = 20.475625 ft²
we also know the height of the pyramid, so the volume is :
Vp = 20.475625 × 28.1 / 3 = 191.7883542 ft³
the rounded volume of the pyramid is 191.8 ft³
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
a) between 5 and 10 min.
b) less than 5 min.
c) more than 10 min.
The probability that a randomly received emergency call is between 5 and 10 min is 77.97%.
Z scoreZ score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation and x is the raw score.
Given that μ = 6.4, σ = 1.7
For x = 5:
z = (5 - 6.4) / 1.7 = -0.83
For x = 10:
z = (10 - 6.4) / 1.7 = 2.12
a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797
b) P( x < 5) = P(z < -0.83) = 0.2033
c) P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017
The probability that a randomly received emergency call is between 5 and 10 min is 77.97%.
Find out more on Z score at: https://brainly.com/question/25638875
What is the value of X?
the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.
[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]
A physician orders Fragmin 1,600 international units subcutaneously stat. There are 9-mL vials of Fragmin (dalteparin) 10,000 international units/mL available in stock. What volume of medication should be administered? a) 16 mL O b) 1.6 mL c) 0.16 mL d) 0.016 mL
Answer:
HH sheikh Zayed road Dubai UAE Tel Aviv university of California Berkeley
what is 3-4 pls pls pls
Answer: for 3) 427 hikers
Step-by-step explanation: b + 178 + b = 676
2b + 178 = 676
2b = 498
b = 249 bikers
h = 249 + 178 = 427 hikers
HELP PLSSSS ILL GIVE 5 STARS JUST ANSWER
Answer:
-1 (color bow red)
Step-by-step explanation:
first plug x=7
-12/2(7) - 2
-12/14-2
-12/12
-1
A. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.
• -3.5
Answer:
Solution:
o -3.5
As number is negative so sign bit notation is 1.
o First convert 3.5 into binary Binary of 3.5 is 011.1
Mantissa field:
0111
radix in .0111 must be moved 3 bit to the right to obtain
011.1
So exponent is positive 3…
Final 8 bit floating point notation is
1
1
1
1
0
1
1
1
Step-by-step explanation:
Someone help?
Find the problem:
-5x - 16 = 8x - 1
Fix the problem:
?
[tex]-5x -16 = 8x -1\\\\\implies 8x +5x = -16 +1 \\\\\implies 13x = -15\\\\\implies x = -\dfrac{15}{13}[/tex]
HW
Due Tuesday, December 7, 2021
1. Tracy's is having a 25% off sale. Dana wants to buy a coat that has
an original price of $83. What is the sale price?
Answer:20.75 after sale
Step-by-step explanation:
25/100 of 83 is 2075
2075/100 = 20.75
I need help on this question as soon as possible. If anybody can give me the correct answer I’ll give brainly. I just need help. This is my 2nd question and there is 11 questions
Answer:
The solution of the system is (6, 9).
Step-by-step explanation:
Solve one of the variables and substitute the answer for the other variable.
Select one of the problems and solve for x.
3x+y=27
Subtract y from both sides.
3x+-y=27
Divide both sides by three.
x=1/3(-y + 27)
Multiply 1/3 by -y + 27.
x = -1/3y + 9
Replace -y/3 + 9 for x in the other problem 3x-2y=0.
3(-1/3y + 9) - 2y = 0
Multiply 3 by -y/3 + 9.
−y+27−2y=0
Add -y to -2y.
−3y+27=0
Subtract 27 from both sides of the problem.
−3y=−27
Divide both sides by −3.
y=9
Replace 9 for y in x=−1/3y+9.
x=−1/3*9+9
Multiply −1/3 times 9.
x=-3+9
Add 9 to -3.
x = 6.
x = 6, y = 9.
What expressions is equivalent to -19.2 - (-3.8)
Answer:
-19.2
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Pleasee help with this question
Answer:
(2 x^2 z^13)/(z^8 y^5)
Hope This Helps!!!
Answer:
2xz⁵/y⁴
Step-by-step explanation:
16/8 = 2
x²/x = x
y/y⁵ = y⁻⁴
z¹³/z⁸ = z⁵
Can someone solve this question ~
[tex]\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}[/tex]
[tex]\boxed{\boxed{Step \: by \: step \: explanation \: required~}}\ [/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x^2-9}{x^2+2x-3}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{(x+3)(x-3)}{x^2+3x-x-3}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{\cancel{(x+3)}(x-3)}{\cancel{(x+3)}(x-1)}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x-3}{x-1}[/tex]
Apply limits[tex]\\ \sf{:}\Rrightarrow \dfrac{-3-3}{-3-1}[/tex]
[tex]\\ \sf{:}\Rrightarrow \dfrac{-6}{-4}[/tex]
[tex]\\ \sf{:}\Rrightarrow \dfrac{3}{2}[/tex]
Hope you could understand.
If you have any query, feel free to ask.
IF the domain is {0, 2, -6}, what is the range of y=-2x+3?
Answer:
Range is {3,-1, 15}
Step-by-step explanation:
Answer:
{3, -1, 15} is the range.
Step-by-step explanation:
Which equation shows the inverse property of multiplication?
4 + (-4) = 0
-8 + (-3) = -3 + (-8)
2 times one-half = 1
21.
2 poin
A student received the following grades last semester. Find the student's
semester grade point average.
Credits
Course
Statistics
Physics
Sociology
Literature
Tennis
Grade Points
A 4.0
A 4.0
B 3.0
B 3.0
D 10
1
Answer:
4.8
Step-by-step explanation:
add all values and divide it by 5
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?
Answer:
√(4 - ( - 3))^2 + (2 - 1)^2
√(4 + 3)^2 + (2 - 1)^2
√49 + 1
√50
7.07 = 7.1 units
Golf Club Distance (yards) Distance (feet)
9 iron
99
7 iron
120
5 iron
144
3 iron
162
3 wood
174
Driver
192
Answer:
7 Iron
Step-by-step explanation:
Just smort
(15,9) and (x,-3), find all x such that the distance between 2 points is 15
Answer:
See image
Step-by-step explanation:
I used distance formula to calculate. But if you haven't learned distance formula or solving radical equations, or solving equations by taking sq roots then maybe you were just supposed to graph it and look for the points. The answers came out to be nice neat numbers, so that is possible. x = 6 and x = 24
Holly and Jimmy went shopping. For every $2
that Holly spent, Jimmy spent $5. If together
they spent $35, how much did Jimmy spend?
if you want it a a whole number, it would be for every 34$ 85 bucks for jimmy .
The length of the diagonal of quadrilateral is 48m. The lengths of the Perpendiculars drawn on it from the opposite corners are 15m and 19m.Find its area.
How can doubling a known fact be helpful when finding products mentally
Answer:
by doing that
Step-by-step explanation:
if x = y so y is z and you can find thatKegunaan Chi-Square:
Uji Chi Square berguna untuk menguji hubungan atau pengaruh dua buah variabel nominal dan mengukur kuatnya hubungan antara variabel yang satu dengan variabel nominal lainnya (C = Coefisien of contingency).
99 points
solve the system of equations by graphing
k12 test interim checkpoint 4
Answer:
Step-by-step explanation:
f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3