A small rectangular tissue box is 0.5 feet long, 0.2 feet wide, and 0.3 feet deep. The box is filled completely with tissues
Answers
Answer:
the volume of the tissue box would be 0.2×0.5×0.3. the volume of a rectangular prisim is V=l×w×h
Related Questions
Find a particular solution to the differential equation using the Method of Undetermined Coefficients.
(d2y/dx2)-5(dy/dx)+8y = xex
Answers
r^2 - 5r + 8 = 0
The roots of this equation are r1 = 2 and r2 = 4.
Therefore, the general solution to the homogeneous equation is:
y_h = c1e^(2x) + c2e^(4x)
Now, we need to find a particular solution to the non-homogeneous equation.
Since the right-hand side of the equation is xex, which is a product of a polynomial and an exponential function, we can assume a particular solution of the form:
y_p = (Ax + B)ex
Taking the first and second derivatives of y_p:
y_p' = Aex + (Ax + B)ex
y_p'' = 2Aex + (Ax + B)ex
Substituting these expressions into the differential equation:
2Aex + (Ax + B)ex - 5(Aex + (Ax + B)ex) + 8(Ax + B)ex = xex
Simplifying:
(-3A + 8B)ex = xex
Therefore, we have:
-3A + 8B = x
To solve for A and B, we differentiate y_p:
y_p' = Aex + (Ax + B)ex
y_p'(0) = A + B = 0
Therefore, B = -A.
Substituting this into the equation -3A + 8B = x, we get:
-3A + 8(-A) = x
Solving for A, we get:
A = -x/5
Substituting this into B = -A, we get:
B = x/5
Therefore, the particular solution to the differential equation is:
y_p = (-x/5 + x/5)ex = (0)ex = 0
The general solution to the non-homogeneous equation is:
y = y_h + y_p = c1e^(2x) + c2e^(4x)
Therefore, the general solution to the differential equation is:
y = c1e^(2x) + c2e^(4x)
The graph of FX), shown below, has the same shape as the graph ofG(X) = x2, but it is shifted to the left 3 units. What is its equation?FX) ----A. F(x) = x² + 3B. FX) = (x - 3)2C. FX) = x2.3D. Rx) = (x + 3)?
Answers
We can represent the horizontal shift of a quadratic equation by adding or subtracting the constant h to the function
\(\begin{gathered} f(x)=a(x-h)^2+k \\ \text{where} \\ h\text{ is the horizontal shift} \end{gathered}\)\(\begin{gathered} \text{The function }f(x)\text{ has a default values of} \\ a=1 \\ h=0 \\ k=0 \\ \\ \text{A shift to the left of 3 units means that we will have }h=-3\text{ that means} \\ \\ F(x)=(x-(-3))^2 \\ \\ \text{Simplify},\text{ and we get} \\ F(x)=(x+3)^2 \end{gathered}\)PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answers
Answer:
4860000
Step-by-step explanation:
just multiple the interest by monthly payment and then by 30
If you deposit $1,000 every year in 20 years in a savings account that earns 7% compounded yearly. What is the future value of this series at year 20 if payments are made at the beginning of the period? $60,648.57 $43,865.18 $65,500,45 $40,995.49 If you deposit $3,000 every year for 15 years at an APR of 9% compounded monthly, what would be the future value at the end of this series? $90,757,36 $39,360.46 549,360,46 598,393,95 At what interest rate should you invest $1000 today in order to have $2000 dollars in 10 years? 7.2% 14.9% 6.2% 10%
Answers
The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.
To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value
P is the periodic payment
r is the interest rate per period
n is the number of periods
In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.
Plugging these values into the formula, we get:
FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07
= 1000 * [1.07^20 - 1] / 0.07
≈ 1000 * [2.6532976 - 1] / 0.07
≈ 1000 * 1.6532976 / 0.07
≈ 43,865.18
Therefore, the future value of this series after 20 years would be approximately $43,865.18.
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[(1 1/4-3/4) (-2/3^3]divided by(-4)
Answers
Answer:
0.03703704
Step-by-step explanation:
https://www.hackmath.net/en/calculator/fraction?input=3+1%2F4+%2B+2+1%2F3
can someone please help me with 13? there’s only two options you can see them in the picture
Answers
Answer:
The value of x is 5.8
Step-by-step explanation:
Here. we want to find the value of x
To do this, we need the appropriate trigonometric identity
As we can see 10 is the opposite as it faces the side given
x is the adjacent
The trigonometric identity relating opposite and adjacent is tan . Tan is the ratio of the opposite to the adjacent
Thus, mathematically;
Tan 60 = 10/x
x = 10/tan 60
x = 5.8
Huey can wash 6 cars or mow 3 lawns in one hour. Dewey can wash 3 cars or mow 3 lawns in one hour. Louie can wash 3 cars or mow 6 lawns in one hour. They each work 8 hours per day. If two of them wash cars and one mows lawns then at most they can wash cars and mow lawns. Enter whole numbers.
Answers
At most, they can wash 96 cars and mow 96 lawns.
To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.
Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.
Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.
Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.
Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.
The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.
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What is the recursive rule for the sequence?
Answers
Answer:
2nd option
Step-by-step explanation:
the recursive rule is
\(a_{n}\) = \(a_{n-1}\) + d ( d is the common difference )
use the explicit rule to find a₁ and d
a₁ = 48 - 11(1) = 48 - 11 = 37
a₂ = 48 - 11(2) = 48 - 22 = 26
then
d = a₂ - a₁ = 26 - 37 = - 11
recursive rule is then
\(a_{n}\) = \(a_{n-1}\) - 11
a₁ = 37
The x-intercept, or zero, of function g is x = . Function g is over the interval [-5, 5]. As the value of x approaches positive infinity, the value of g(x) approaches infinity.
Answers
Answer:
boom box second one one my bad just need points my g
Step-by-step explanation:
Answer:
3
decreasing
negative
Step-by-step explanation:
The graph of function g crosses the x-axis at (3,0), so there is a zero at x = 3.
As the values of x increase, the values of g(x) decrease, so function g is decreasing along all intervals, including the interval [-5, 5].
As the values of x approach positive infinity, cube root functions either approach positive infinity or negative infinity. Since this function is decreasing, the values of g(x) approach negative infinity.
PLEASE HELP ASAP
choose all fractions equivalent to each given fraction
Answers
Deandre bought 5 boxes of chocolates. Each box cost $8.53. How much did he spend?
Answers
Answer: $42.65
Step-by-step explanation: multiply
$8.63 by 5
Answer:
42.65$
Hope this helps!
Step-by-step explanation:
1 box = 8.53
5 boxes = 8.53 * 5
8.53 * 5 = 42.65
can someone help me with this?
-5k = 12
thanks!
Answers
Answer:
Not sure what you wanted but here Divide each term by
−
5
-
5
and simplify.
Exact Form:
k
=
−
12
5
k
=
-
12
5
Decimal Form:
k
=
−
2.4
k
=
-
2.4
Mixed Number Form:
k
=
−
2
2
5
Step-by-step explanation:
Answer:
k= -2.4
Step-by-step explanation:
let x(t) = cos(75t). if we sample x(t) at the nyquist frequency, what is the resulting discrete frequency
Answers
If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.
In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.
Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.
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work out an estimate for the number of boxes of grass seed Helen needs.to find your estimate, round each of the numbers in your working to 1 significant figure. you must show your working
Answers
Answer:
A circle is a bounded object with points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 3.14
R = radius = diameter / 2 = 20m / 2 = 10m
3.14 x 10² = 314m²
Number of boxes needed to cover the garden = area of the garden / coverage of one box
314m² / 58m² = 5.14
5 boxes to one significant figure
Brainliest plsANSWER ASAP GIVING 50 PTS (25 each)
Answers
Answer:
The value of k is -2
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We have then:
For f (x):
The cut point with the y axis is:
For g (x):
The cut point with the y axis is:
Therefore, the value of k is given by the vertical displacement of the graph k units.
We have then:
From here, let's clear k:
Answer:
The value of k is -2
Answer:
-2
Step-by-step explanation:
nice computer btw lol
also it is easier if you just screen shot
Please find the area! :)
Answers
Answer:
The area of this triangle is 119 square inches.
Step-by-step explanation:
To find the area of a triangle, use this formula:
A = 1/2bh. (Area = 1/2 times base times height).
17 x 14 = 238. 238 x 1/2 = 119.
So your answer is 119 square inches.
Hope I helped
Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?
Answers
Answer:
10 hours
Step-by-step explanation:
let x be the total number of hours
Amazing design total charge = 45x+250
super structures total charge = 60x+100
both companies charge the same amount when both equation equals
45x+250=60x+100
60x-45x=250-100
15x=150
x=10
therefore at 10 hours both companies will charge the same amount
Rewrite in simplest terms: -8(7y-8)-3(7y-7)
Answers
Answer:
−77y+85
I hope I helped!
Nats sister has 5/6 as many songs on her mp player as he has on his mp player. His sister has 35 songs. How many songs does Nat have?
Answers
Answer:
29 songs
Step-by-step explanation:
Multiply 35 by 5/6 to get the number of songs Nat's sister has.
35*5/6=175/6
Or 29 1/3
But you can't have 1/3 of a song so...
29 songs
y = x² + 4x - 5 1. Transpose the c-value to the left side of the equation. 2. Complete the square of the expression on the right side of the equation to get a perfect square trinomial. Add the resulting term to both sides. 3. Add the numbers on the left and factor the trinomial on the right. 4. Transpose the number across to the right side to get the equation into the vertex form, y = a(z-h)² + k. 5. Make sure the addition and subtraction signs are correct to give the proper vertex form.
Answers
The vertex is at (-2, -9).
How to find the vertex form
From the equation:
y = x² + 4x - 5
Transpose the c-value to the left side of the equation:
y + 5 = x² + 4x
Complete the square of the expression on the right side of the equation to get a perfect square trinomial:
y + 5 = x² + 4x + 4 - 4
by adding and subtracting 4 to the right side of the equation to maintain its balance.
Add the numbers on the left and factor the trinomial on the right:
y + 9 = (x + 2)²
Transpose the number across to the right side to get the equation into the vertex form, y = a(z-h)² + k:
y = (x + 2)² - 9
Make sure the addition and subtraction signs are correct to give the proper vertex form.
Here, the vertex is at (-2, -9).
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Given:-
y = x² + 4x - 5 .To find:-
The vertex form following the given steps .Answer:-
1) Firstly we are told to transpose the c value to LHS .
With respect to standard form of a quadratic equation, \( ax^2+bx + c \) ,the value of c here will be -5 . So on transposing c to LHS , we have;
\(\implies y + 5 = x^2 + 4x\\\)
w) Next we are told to complete the square on the RHS of the equation. For that add and subtract 4 .
\(\implies y + 5 = x^2 + 4x + 4 - 4 \\\)
\(\implies y + 5 =\{ (x)^2 + 2.2.x + 2^2 \}- 4\\\)
The terms inside the curly brackets are in the form of \( a^2+2ab + b^2\) , which is the whole square of \( (a + b )\) . That is \( ( a + b)^2\) . So , we can rewrite it as ,
\(\implies y + 5 = (x +2)^2 - 4 \\\)
\(\implies y + 5 + 4 = (x+2)^2 \\\)
3) Next we have to add the number on the left and factor the trinomial on right as ,
\(\implies y + 9 = (x+2)^2 \\\)
4) Now we are told to transpose the number on the LHS to RHS and get the equation into vertex form which is \( y = a(z-h)^2+ k \) .
\(\implies\underline{\underline{ y = (x+2)^2 - 9}} \\\)
This is our required answer in vertex form. Also on comparing to the standard equation of vertex form, we have;
\(\implies vertex = ( -2,-9) \\\)
and we are done!
A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
Answers
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
Aida bought a flower rug for her bedroom, as shown below.
Note: Figure is not drawn to scale
If a = 12 in, which of the following is closest to the area of the rug?
A.
298.08 in2
B.
257.04 in2
C.
334.08 in2
D.
370.08 in2
Answers
At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next day he returned and bought 5 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days?
8x Plus 5y
8y Plus 5x
6y + 7x
6x + 7y
Answers
Answer:
8x + 5y
Step-by-step explanation:
Answer:
8x + 5y
Step-by-step explanation:
Just answered the question on edge
Help please!!!! Question is in picture!!!!
Answers
Answer:
y=36degrees
Step-by-step explanation:
74+2y+34=180
2y+108=180
2y+108-108=180-108
2y=72
72/2
y=36degrees
Answer:
Step-by-step explanation:
Because these are supplementary angles they must have a sum of 180 degrees.
74+2y+34=180
2y+108=180
2y=72
y=36 degrees
The area of a circle is 61. 27cm2. Find the length of the radius rounded to 2 DP
Answers
Answer:
r = 4.45
Step-by-step explanation:
The relationship between a radius and area of a circle is:
\(A = \pi r^{2}\)
To find the radius, we plug in the area and solve.
\(61.27 = \pi r^{2}\\\frac{ 61.27}{\pi} = r^{2}\\19.50 = r^2\\r = \sqrt{19.5} \\\\r = 4.41620275....\\r = 4.45\)
Model With Mathematics Let x represent the side length of each square a.Write expressions for the length, width, and height of the metal tray: b. Write and simplify a polynomial function V to represent the volume of the tray-
Answers
The simplified polynomial function representing the volume of the metal tray is V(x) = x³ - 3x² + 2x.
To model this problem with mathematics, let x represent the side length of each square.
a. Write expressions for the length, width, and height of the metal tray:
- Length: Since two squares are cut from each side, the length would be x - 2.
- Width: One square is cut from each side for the width, so the expression would be x - 1.
- Height: The height is equal to the side length of the squares removed, which is x.
b. Write and simplify a polynomial function V to represent the volume of the tray:
The volume of a rectangular tray can be calculated by multiplying its length, width, and height. In this case, the polynomial function for the volume V can be written as:
V(x)= Length x Width x Height
V(x) = (x - 2)(x - 1)(x)
Now, let's simplify the expression:
First, multiply the first two expressions:
(x - 2)(x - 1) = x² - 3x + 2
Now, multiply this result by the third expression (x):
V(x) = x(x² - 3x + 2) = x³ - 3x² + 2x
So, the simplified polynomial function representing the volume of the metal tray is V(x) = x³ - 3x² + 2x.
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It has the same slope as y=5x+3 and passes through (1, 5).
Answers
Answer:
y=5x
Step-by-step explanation:
Because it has the same slope, both equations must have 5x as their slope. The 2 equations are not going to have the same y intercept, so the +3 can be ignored and replaced with b. You want to plug in (1,5) into you new equation of y=5x+b, to get 5=5(1)+b. Multiply 5 by 1 to get 5, and then subtract 5 from both sides, which gives you 0=b. This means that the y intercept is the origin, so your new equation is y=5x
Substitute the point
5=5x(1)+B
5=5+B
B=0
Y=5x+0
Should you use Sine, Cosine, or Tangent to solve the following problem?
Answers
Answer:
TAN!!!!!!!!!!!!
Soh Cah toa
Jorge wants to buy a drink. Which option is cheaper per ounce: one 24-ounce cup for $1.92 or two 12-ounce cups for $0.96 each?
The 24-ounce cup costs $0.08 per ounce, and the 12-ounce cups cost $0.085 per ounce. The 24-ounce cup is the cheaper option.
The 24-ounce cup costs $0.08 per ounce, and the 12-ounce cups cost $0.085 per ounce. The two 12-ounce cups are the cheaper option.
The 24-ounce cup costs $0.085 per ounce, and the 12-ounce cups cost $0.08 per ounce. The two 12-ounce cups are the cheaper option.
The cost per ounce in both options is the same.
Answers
The cost per ounce in both options is the same. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The rate is the ratio of the amount of something to the unit.
Jorge wants to buy a drink.
Choice 1: 24-ounce cup for $1.92
Choice 2: 12-ounce cups for $0.96 each
The cost per ounce in choice 1 is calculated as,
⇒ $1.92 / 24
⇒ $0.08 per ounce
The cost per ounce in choice 2 is calculated as,
⇒ $0.96 / 12
⇒ $0.08 per ounce
The cost per ounce in both options is the same. Then the correct option is D.
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What is the slope of this line?
Answers
Answer:
3
Step-by-step explanation:
The slope is rise/run and for this case, it is 3/1 which equals 3!!!