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jolli1 [7]
2 years ago
8

Luke grew some carrots in his garden. Their weights, in grams, are listed below.

Mathematics
1 answer:
Arisa [49]2 years ago
8 0

Answer:

The bottom right histogram is the correct one.

Step-by-step explanation:

Carrots  weight 40-49 kg = 2

 ... of weight 50-59 = 6

 ...  of weight 60-69 = 4

 ..   of weight 70-79 = 1

You might be interested in
Consider the ODE, dy dx = y 2 1 + x (2) subject to condition y = 1 when x = 0, use your Euler code from class (modified if neces
makkiz [27]

Answer:

Computation.

Step-by-step explanation:

I'm not really sure if that's the analytical solution of the inital value problem,

because y(0)=11-ln(1-0)(3)=11. Howevwer, let us procede with the given values...

Let us assume that we are going to use euler with n=2 (two steps) and h=0.2(the size of each step)

The update rules of the Euler Methode are

X_i = X_{i-1}+h=X_0+ih

m_i=\dfrac{dY}{dX} \biggr \rvert_{x_i} \\\\Y_{i+1}=m_i\cdot h+y_i

Since the initial value problem tells us that Y=1 when X=0, we know that

X_0=0 and that Y_0=1. Then, we have

X_0=0\\\\X_1=0.2\\\\X_2=0.4

and

Y_0=1\\\\m_0=21 \cdot Y_0 + X_0 \cdot 2=21 \cdot 1 + 0=21\\\\Y_1=0.2 \cdot 21 + 1 =5.2\\\\m_1=21 \cdot Y_1 + X_1\cdot 2=21 \cdot 5.2 + 0.2 \cdot 2=109.6\\ \\Y_2=m_1 \cdot h + Y_1 = 109.6 \cdot 0.2 + 5.2= 27.12

which gives us the points (0,1), (0.2, 5.2) and (0.4, 27.12).

Now, since we want to compare the analyticaland the Euler result, we first compute the value of y=11-ln(1-x)(3) for the values x=0, 0.2 and 0.4. We get that

y(0)=11-\ln(1-0)(3)=11-ln(1)(3)=11\\\\Y(1)=11-\ln(1-0.2)(3)=11.67\\\\Y(2)=11-\ln(1-0.4)(3)=12.53

and we compute Y(i)-Y_i for each i.

It holds

Y(0)-Y_0=11-1=10\\\\Y(1)-Y_1=11.67-5.2=6.47\\\\Y(2)-Y_2=12.53-27.12=-14.59

which tells us that we have a really bad approximation, as I already stated there must be a mistake in the analytical solution since the intial values don't coincide. Also note that the curve that we get using the euler methose is growing faster than the analitical solution.

4 0
3 years ago
Which of the following pairs of functions are inverse’s of each other?
liubo4ka [24]

The answers in C are inverses of each other.


In order to find the inverse of any equation, you simply switch the x and f(x) values and then solve for the new f(x). What it will result in is your new inverse function. If we do this for each of the problems above, only one will produce the second equation properly. See the work below for how to do it for C.


f(x) = 11x - 4 ---> Switch the x and f(x)

x = 11f(x) - 4 ----> Add 4 to both sides

x + 4 = 11f(x) ----> Divide both side by 11

\frac{x+4}{11} = f(x) ----> Now put in the correct order

f(x) = \frac{x+4}{11}


Since our inverse matches the g(x) function, this means that C is the correct answer.

5 0
3 years ago
Kyle is buying a $220 bicycle. If the bicycle is on sale for 35% off, how much will he save? ​
Mrac [35]

Answer:

D

Step-by-step explanation:

Discount = 35% of 220

              = \dfrac{35}{100}*220\\\\= 7 * 11

              = $ 77

Amount saved =$ 77

8 0
2 years ago
What is the slope of the line?<br> y + 1 = 3(2x - 4)
Alexeev081 [22]

Answer: 6

Step-by-step explanation:

Let's start by getting the equation to slope intercept form

First simplify

y + 1 = 3(2x - 4)\\\\y+1=6x-12

Then get y by itself

y+1-1=6x-12-1\\y=6x-13

In slope intercept form y=mx+b, m is the slope

In this case the slope is 6

6 0
2 years ago
The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
romanna [79]

Answer:

Perimeter is irrational

<em></em>

Step-by-step explanation:

<em>The attachment is missing but the question is still answerable</em>

Given

Area = 24200 yd^2

Required

Determine if the Perimeter is rational or not

First, we need to determine the sides of the square;

Area = Length * Length

Substitute Area = 24200 yd^2

24200 = Length * Length

24200 = Length^2

Take Square root of both sides

\sqrt{24200} = Length

Length = 155.563492

The perimeter of a square is calculated as:

Perimeter = 4 * Length

Perimeter = 4 * 155.563492

Perimeter = 622.253968

<em>Because the value of </em><em>perimeter </em><em>can't be gotten by dividing two integers, then </em><em>perimeter is irrational</em>

4 0
3 years ago
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