Answer: I don't know
Step-by-step explanation:
it's challenging
Derek says the dilation was a reductionDelilah says the dilation was an enlargement who is correct and why
Delilah is correct; it is
Here, we want to check who was right
Mathematically, we can dilate a figure by reduction or enlargement by the use of a specific scale factor
When the scale factor is less than 1, it is a reduction
However, if the scale factor is greater than 1, it is an enlargement
The original point is (x,y)
From the image coordinates given, we see that the scale factor is 6/5 which is greater than 1
Thus, the dilation is an enlargement and Delilah was right
what is the constant of proportonality in the equation 3y = 2x
The constant of proportionality in the equation 3y = 2x is 2/3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
if y is directly proportional to x, this is expressed as:
y ∝ x
y = kx .................... 1
k = y/x
Given the expression 3y = 2x
Divide both sides by 3
3y/3 = 2x/3
y = 2/3 x ................ 2
Compare equation 1 and 2 to find "k"
kx = 2/3 x
k = 2/3
Hence, the constant of proportionality in the equation 3y = 2x is 2/3.
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Determine whether the statement is true or false. If the statement is false, explain why. The midpoint of the segment joining (0,0) and (38,38) is 19.
The midpoint has coordinates (19,19) as per the midpoint formula.
The statement is false.
The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).
To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:
(x1 + x2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.
To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:
(y1 + y2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.
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OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW
Answer:
The answer to this question is $14,916
Step-by-step explanation:
18,469 - 3,553 = 14916
As he already has money for the car.
A bar model is shown in the linked picture.
please help me !!!!!
5.2 x 10 ^5
Edit: I tried putting a 5 over the 10 in spaces but it didn’t work lol
Answer:
5.2x x 10^5
Step-by-step explanation:
PLEASE HELP ME ILL GIVE U BRAINLEIST
Answer: Top left (-v + 8 <= -2.5)
Step-by-step explanation:
-12 <= -2.5 - 8
so
-12 <= -10.5
The set of data in the table below represents a linear function
X
6
-4
-2
y
-7--
--5---
-3/-/-
Which is an equation for this function?
The equation of the function is y = x - \(1\frac{1}{3}\)
The first point = (-6, \(-7\frac{1}{3}\))
The second point = (-4, \(-5\frac{1}{3}\))
Convert the mixed fraction to the simple fraction
The first point = (-6, -22/3)
The second point = (-4, -16/3)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
The slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)
= (-16/3 - (-22/3) / (-4 - (-6)
= 2 / 2
= 1
The point slope form is
\(y-y_1=m(x-x_1)\)
y - (-22/3) = 1(x - (-6))
y + 22/3 = x + 6
y = x+ 6 - 22/3
y = x+ -4/3
y = x - 4/3
Convert the simple fraction to mixed fraction
y = x - \(1\frac{1}{3}\)
Hence, the equation of the function is y = x - \(1\frac{1}{3}\)
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What is the answer Which of the following equations have infinitely many solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-6x+35=-6x-35−6x+35=−6x−35minus, 6, x, plus, 35, equals, minus, 6, x, minus, 35
(Choice B)
B
6x+35=-6x-356x+35=−6x−356, x, plus, 35, equals, minus, 6, x, minus, 35
(Choice C)
C
-6x+35=-6x+35−6x+35=−6x+35minus, 6, x, plus, 35, equals, minus, 6, x, plus, 35
(Choice D)
D
6x+35=-6x+356x+35=−6x+35
I am still confused
-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions. Option c is correct.
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance . (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
(Choice A)
-6x+35 = -6x-35 have the different thing on each side: , so this has no solution.
(Choice B)
6x+35 = -6x-35 does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1).
(Choice C)
-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.
(Choice D)
6x+35=-6x+35 And finally, has the different thing on each side: , so it has one solution.
Hence , -6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.
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How many ounces of yogurt can you get
for $4.00?
4. My son's age is of my wife's age, my wife's age is of my age, and my age is of my father's age. Find
age of my son, if my father is 50 years old
Answer:
50?
Step-by-step explanation:
Answer:
The age of son is 50.THANK YOU.
The function x(t) = cos(2π100t + π/3) is sampled at the minimum sampling rate to avoid aliasing for 10 seconds. How many points are generated?
If the function x(t) = cos(2π100t + π/3) is sampled at the minimum sampling rate to avoid aliasing for 10 seconds, 2000 points are generated.
The function x(t) = cos(2π100t + π/3) is sampled at the minimum sampling rate to avoid aliasing for 10 seconds.
To avoid aliasing, we need to use the Nyquist-Shannon Sampling Theorem, which states that the minimum sampling rate should be twice the highest frequency in the signal. In this case, the highest frequency is 100 Hz.
Step 1: Calculate the minimum sampling rate.
Minimum sampling rate = 2 * highest frequency = 2 * 100 Hz = 200 Hz.
Step 2: Calculate the total number of points generated in 10 seconds.
A number of points = sampling rate * time duration = 200 Hz * 10 s = 2000 points.
So, 2000 points are generated when the function x(t) = cos(2π100t + π/3) is sampled at the minimum sampling rate to avoid aliasing for 10 seconds.
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Find the distance between points P(1,6) and Q(5,8) in simplest radical form.
The requried distance between points P(1,6) and Q(5,8) in simplest radical form is 2√5.
We can use the distance formula to find the distance between the two points:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
where (x₁, y₁) = (1, 6) and (x₂, y₂) = (5, 8).
Substituting the values, we get:
d = √[(5 - 1)² + (8 - 6)²]
= √[4² + 2²]
= √(16 + 4)
= √20
= 2√5
Therefore, the distance between points P(1,6) and Q(5,8) in simplest radical form is 2√5.
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Write a latex code for the following question.
Show that a particle moving with constant motion in the
Cartesian plane with position (x (t ), y (t )) will move a long the
line
y(x)=mx +c.
Here's a LaTeX code that represents the question and provides both a concise answer and a more detailed explanation:
```latex
\documentclass{article}
\begin{document}
\textbf{Question:} Show that a particle moving with constant motion in the Cartesian plane with position $(x(t), y(t))$ will move along the line $y(x) = mx + c$.
\textbf{Answer (Concise):} A particle with constant motion in the Cartesian plane will move along a straight line represented by the equation $y(x) = mx + c$, where $m$ is the slope and $c$ is the y-intercept.
\textbf{Answer (Detailed):}
Let's consider a particle moving with constant motion in the Cartesian plane, where its position is given by the functions $x(t)$ and $y(t)$. We want to show that this particle will move along the line represented by the equation $y(x) = mx + c$, where $m$ is the slope and $c$ is the y-intercept.
Since the particle has constant motion, its velocity $\mathbf{v}$ is constant. The velocity vector can be written as $\mathbf{v} = \left(\frac{dx}{dt}, \frac{dy}{dt}\right)$. Since the motion is constant, the derivative of $x(t)$ and $y(t)$ with respect to $t$ will be constant.
Let's assume that the particle's initial position is $(x_0, y_0)$. We can write the position functions as $x(t) = x_0 + v_xt$ and $y(t) = y_0 + v_yt$, where $v_x$ and $v_y$ are the constant velocities in the x and y directions, respectively.
Now, let's solve for $t$ in terms of $x$ using the equation for $x(t)$. We have $t = \frac{x - x_0}{v_x}$. Substituting this into the equation for $y(t)$, we get $y(x) = y_0 + v_y \left(\frac{x - x_0}{v_x}\right)$. Simplifying this equation gives us $y(x) = mx + c$, where $m = \frac{v_y}{v_x}$ and $c = y_0 - \frac{v_y x_0}{v_x}$.
Therefore, we have shown that a particle with constant motion in the Cartesian plane will move along the line represented by the equation $y(x) = mx + c$.
\end{document}
```
This LaTeX code generates a document with the question, a concise answer, and a more detailed explanation. It explains the concept of a particle with constant motion and how its position can be represented using functions in the Cartesian plane. The code also derives the equation of the line that the particle will move along and provides the values for slope ($m$) and y-intercept ($c$).
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Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable
Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.
What is a regression line?In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.
In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;
Y = α₀+α₁X+α₂X₂+ε
Where:
Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.In conclusion, Y represent the dependent variable or response variable in a linear regression.
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find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative.) f(x) = 7ex 6 sec2(x) on the interval − 2 , 2
The antiderivative of 7ex is 7ex, and the antiderivative of 6 sec2(x) is 6 tan(x). Thus, the most general antiderivative is F(x) = 7ex + 6 tan(x) + C, where C represents the constant of integration.
To find the antiderivative of the given function f(x) = 7ex 6 sec2(x), we integrate each term separately. The antiderivative of 7ex is simply 7ex, as the exponential function ex is its own antiderivative.
Next, we consider the antiderivative of 6 sec2(x). The derivative of the tangent function tan(x) is sec2(x), so the antiderivative of sec2(x) is tan(x). However, there is a coefficient of 6 in front of sec2(x), so the antiderivative becomes 6 tan(x).
Combining these results, we have F(x) = 7ex + 6 tan(x) as the antiderivative of the original function f(x) = 7ex 6 sec2(x). The "+ C" at the end represents the constant of integration, as any constant added to the antiderivative remains undetermined. Therefore, the most general antiderivative of f(x) is F(x) = 7ex + 6 tan(x) + C, where C is a constant.
To verify this result, we can differentiate F(x) and confirm that it indeed yields the original function f(x). Taking the derivative of F(x) with respect to x will give us back 7ex 6 sec2(x), thus confirming the correctness of the antiderivative.
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19, Let * be the binary operation on Z defined by a * b = a + 2b. Prove or disprove that each of the following subsets is closed in Z under (a) The set E of even integers
Let * be the binary operation on Z defined by a * b = a + 2b. To prove whether the set E of even integers is closed under the binary operation *, we need to show that for any two even integers a and b, their sum a + 2b is also an even integer.
Let a and b be two even integers, which means they can be written as a = 2m and b = 2n for some integers m and n. Then, the result of the binary operation * is:
a * b = a + 2b = 2m + 4n = 2(m + 2n)
Since m and 2n are both integers, their sum (m + 2n) is also an integer. Therefore, a * b can be written as 2 times an integer, which means it is an even integer.
Thus, we have shown that for any two even integers a and b, their binary operation * result a * b is also an even integer. Therefore, the set E of even integers is closed under the binary operation *.
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For the function f(x) = 0.25 (x - 1) (x + 7) identify the vertex.
Answer:
Mark brainly then I will answer..
Select the law to apply to have the following equivalence: (¬p∨r)∧(¬q∨r)≡(¬p∧¬q)∨r o Associative law o Idempotent laws o De Morgan law o Distributive law
The distributive law is the law to apply to have the following equivalence:
(¬p∨r)∧(¬q∨r)≡(¬p∧¬q)∨r.
Hence, the correct option is (D) Distributive law.
What is Distributive Law?
The distributive property is the most commonly used property of the number system.
Distributive law is the one which explains how two operations work when performed together on a set of numbers. This law tells us how to multiply an addition of two or more numbers.
Here the two operations are addition and multiplication. The distributive law can be applied to any two operations as long as one is distributive over the other.
This means that the distributive law holds for the arithmetic operations of addition and multiplication over any set.
For example, the distributive law of multiplication over addition is expressed as a(b+c)=ab+ac,
where a, b, and c are numbers.
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On Friday, a local hamburger shop sold a combined total of 468 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
{(3,7), (4,7), (5,7), (6,7)} Is this relation a function? Explain why or why not.
Answer:
Yes, the rule is that x-coordinates cannot repeat, but it does not matter with y-coordinates
Step-by-step explanation:
If you graph this, it will pass the vertical line test. Please mark the brainliest if this helped!
What is the slope of the line?
-3/2
slope = rise/run
We can use the two points to calculate rise (y value change) and run (x value change)
slope = (-6)/4 = -3/2
which inequality matches this situation : 7 is less than a number a= x ≥ 7b= x < 7c= x >7d= ≤ 7
If 7 is less than a number, x, it means that x is greater than 7. The symbol for representing greater than is >
Thus, the inequality that matches the given situation is
x >7
Option c is correct
2x+3(-6x-2)=18
Solve for X
Answer:
x = - 3/2
(the dash by the 3/2 is to show that it is negative, and is part of the answer)
Answer:
x= -3/2
Step-by-step explanation:
Please help out will give brainliest
Answer:
66 cm
Step-by-step explanation:
Answer:
∠ A ≈ 77.8°
Step-by-step explanation:
Using the Sine rule in Δ ABC
\(\frac{BC}{sinA}\) = \(\frac{AB}{sinC}\)
\(\frac{37}{sinA}\) = \(\frac{29}{sin50}\) ( cross- multiply )
29 × sinA = 37 × sin50° ( divide both sides by 29 )
sinA = \(\frac{37sin50}{29}\) , then
A = \(sin^{-1}\) ( \(\frac{37sin50}{29}\) ) ≈ 77.8° ( to 1 dec. place )
in each of problems 38 through 42, a differential equation and one solution y1 are given. use the method of reduction of order as in problem 37 to find a second linearly independent solution y2.38. x2y′′+xy′−9y=0(x>0);y1 (x)=x339. 4y′′−4y′+y=0;y1 (x)=ex/2 40. x2y′′−x(x+2)y′+(x+2)y=0(x>0);y1 (x)=x41. (x+1)y′′−(x+2)y′+y=0(x>−1);y1 (x)=ex42. (1−x2)y′′+2xy′−2y=0(−1
By using the method of reduction of order as in differential equation to find a second linearly independent solution of the: Equation x2y" + xy' – 9y = 0 (x > 0); yı(x) = x3 has general solution is y(x) = c1x^3 + c2x^(-2),
Equation 4y" – 4y' + y = 0; yı(x) = ex/2 general solution is y(x) = c1exp(x/2) + c2*exp(-x/2),
Equation x2y" – x(x + 2)y' + (x + 2)y = 0 (x > 0); yı(x) = x has general solution y2(x) = (C3x^(3/2) + C4)e^(-x).
Equation (x + 1)y" - (x + 2)y' + y = 0 (x > -1); yı(x) = ex has the general solution y(x) = c1ex + [c2 - ln(|2x + 1|)/2]ex.
Using the method of reduction of order, assume a second solution of the form y2(x) = u(x)y1(x). Then we have:
y'1(x)u(x) + y1(x)u'(x) = 0
u'(x) = -y'1(x)u(x)/y1(x)
Integrating both sides:
ln|u(x)| = -ln|y1(x)| + C
u(x) = K/x^3
Plugging this into the differential equation:
x^2y'' + xy' - 9y = 0
x^2[u''(x)y1(x) + 2u'(x)y1'(x) + u(x)y1''(x)] + x[u'(x)y1(x) + u(x)y1'(x)] - 9u(x)y1(x) = 0
Simplifying and dividing by x^2y1(x):
u''(x) - 6/x^2 u(x) = 0
Equation r(r-1) - 6 = 0, which has roots r = 3 and r = -2. Therefore, the general solution is y(x) = c1x^3 + c2x^(-2).
Using the method of reduction of order, assume a second solution of the form y2(x) = u(x)y1(x). Then we have:
y'1(x)u(x) + y1(x)u'(x) = 0
u'(x) = -y'1(x)u(x)/y1(x)
Integrating both sides:
ln|u(x)| = -2ln|y1(x)| + C
u(x) = Kexp(-x/2)
Plugging this into the differential equation:
4y'' - 4y' + y = 0
4[u''(x)y1(x) + 2u'(x)y1'(x) + u(x)y1''(x)] - 4[u'(x)y1(x) + u(x)y1'(x)] + u(x)y1(x) = 0
Simplifying and dividing by 4y1(x):
u''(x) - u(x)/4 = 0
equation r^2 - 1/4 = 0, has roots r = 1/2 and r = -1/2. Therefore, the general solution is y(x) = c1exp(x/2) + c2*exp(-x/2).
Let y2(x) = v(x)y1(x), where v(x) is a function to be determined.
Then, y'2(x) = v'(x)y1(x) + v(x)y'1(x) and y"2(x) = v"(x)y1(x) + 2v'(x)y'1(x) + v(x)y"1(x).
Substituting y1(x) and y2(x) into the given differential equation, we get:
x^2(v"(x)y1(x) + 2v'(x)y'1(x) + v(x)y"1(x)) - x(x+2)(v'(x)y1(x) + v(x)y'1(x)) + (x+2)v(x)y1(x) = 0
Simplifying and dividing by x^2y1(x), we obtain:
v"(x) + (2/x - (x+2)/x^2)v'(x) + ((x+2)/x^2 - 1/x^2)v(x) = 0
Let u(x) = v'(x). Then, the above equation can be written as a first-order linear differential equation:
u'(x) + (2/x - (x+2)/x^2)u(x) + ((x+2)/x^2 - 1/x^2)v(x) = 0
Using an integrating factor of exp(∫[(2/x - (x+2)/x^2)dx]), we get:
u(x)/x^2 = C1 + C2∫exp(-2lnx)exp((x+2)/x)dx
u(x)/x^2 = C1 + C2/x^2e^(x+2)
v(x) = C3x^(1/2)e^(-x) + C4x^(-3/2)e^(-x)
Therefore, the second linearly independent solution is:
y2(x) = (C3x^(3/2) + C4)e^(-x)
41. (x + 1)y" - (x + 2)y' + y = 0, one solution y1(x) = ex.
We assume that the second solution has the form y2(x) = v(x)ex.
We can then find y2'(x) and y2''(x) as follows:
y2'(x) = v'(x)ex + v(x)ex
y2''(x) = v''(x)ex + 2v'(x)ex + v(x)ex
We can substitute y1(x) and y2(x) into the differential equation and simplify using the above expressions for y2'(x) and y2''(x):
(x + 1)[v''(x)ex + 2v'(x)ex + v(x)ex] - (x + 2)[v'(x)ex + v(x)ex] + v(x)ex = 0
Simplifying and dividing by ex, we get:
xv''(x) + (2x + 1)v'(x) = 0
This is a first-order linear differential equation, which we can solve using separation of variables:
v'(x) = -1/(2x + 1) dv/dx
Integrating both sides
v(x) = C1 - ln(|2x + 1|)/2
where C1 is a constant of integration.
Therefore, the second linearly independent solution is:
y2(x) = v(x)ex = [C1 - ln(|2x + 1|)/2]ex
So, the general solution is:
y(x) = c1ex + [c2 - ln(|2x + 1|)/2]ex
where c1 and c2 are constants of integration.
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____The given question is incomplete, the complete question is given below:
In each of Problems 38 through 42, a differential equation and one solution yı are given. Use the method of reduction of or- der as in Problem 37 to find a second linearly independent solution y2. 38. x2y" + xy' – 9y = 0 (x > 0); yı(x) = x3 39. 4y" – 4y' + y = 0; yı(x) = ex/2 40. x2y" – x(x + 2)y' + (x + 2)y = 0 (x > 0); yı(x) = x 41. (x + 1)y" - (x + 2)y' + y = 0 (x > -1); yı(x) = ex
a major credit card company has determined that customers charge between $300 and $1500 per month. the monthly amount charged is uniformly distributed. find the standard deviation of the monthly amount charged. (round to four decimal places if needed)
The standard deviation of the monthly amount charged is 346.41
Step 1: Identify the values of a and b, where [a , b] is the interval over which the continuous uniform distribution is defined.
Since it takes between 300 and 1500 minutes to be seated at the restaurant, we have:
a = 300
b = 1500
Step 2: Calculate the variance using the formula Var(x) = \(\frac{(b-a)^{2} }{12}\)
Using the formula for the variance and the values identified in step 1
(a = 300 , b = 1500), we have:
Var(x) = \(\frac{(b-a)^{2} }{12}\)
= \(\frac{(1500 - 300)^{2} }{12}\)
= 1440000/12
= 120,000
the variance is 120,000
Step 3: Calculate the standard deviation by taking the square root of the variance. σ = \(\sqrt{Var(x)}\)
The standard deviation is the square root of the result from step 2 (variance = 120,000)
σ = \(\sqrt{Var(x)}\)
σ = \(\sqrt{120000}\)
= 346.41
The standard deviation of the monthly amount charged is 346.41
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Evaluate the expression when a=3, b=2, and c=12.
Group of answer choices
6 + a
[ Choose ]
5b
[ Choose ]
c - 1
[ Choose ]
c + 5
[ Choose ]
2a
[ Choose ]
Write as an inequality. Do not solve.
Yellow Cab charges a flat rate of $3.00 plus $0.50 per mile. Raven
has $20.00 to spend on a cab ride. Write an inequality that expresses how
many miles Raven can travel under her limit.
The product of 8 and y is less than 21.
Raven can travel 5.71 miles or less under her limit.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions. If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Let x b the number of miles Raven travels, we can write an expression relating the amount he spends. So there:
3.00 + 0.50= 3.50
Consider that total cost per mile be less than equal to the amount the Raven can spend:
3.50x ≤ 20
We can determine x;
x ≤ 5.71
Therefore, Raven can travel 5.71 or less under her limit.
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Anica packed stuffed animals into boxes.anica has 13 stuffed animals, and each box holds 5 animals how many boxes does Anica completely fill?how many animals are left?
Answer:
Anica has 2 boxes completely filled in & 3 stuffed animals left.
Step-by-step explanation:
No. of stuffed animals Anica has = 13
No. of animals in each box = 5
No. of boxes used total = ?
No. of boxes used in total = 13/5 = 2.6 boxes. (take it as 2)
Let's take the number of boxes used as 2. So, now Anica has put in 10 of her animals in ( 5 × 2 = 10). She has 3 animals remaining ( 13 - 10 = 3 ).
Answer:
2 n 3r
Step-by-step explanation:
A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h, of the sand in the container increases at a rate of approximately 8 inches per minute. Create an equation that models the volume, V, of the sand in the container in terms of h, then use the equation to determine the time at which the volume is 64 cubic feet. Note that the volume of a rectangular prism is V=l×w×h, where l, w, and h are the length, width, and height of the prism.
Answer:
I think the answer is 24 minutes!
Step-by-step explanation:
I hope this helps!
Answer:6+89
Step-by-step explanation:439+3947+v=90