A student evaluates x2 - 2y when x = 6 and y = 3 and gets the answer 0. If the answer is not correct, which is the most plausible error that would
lead to the answer that the student obtained?
The student incorrectly calculated x in the following manner: x² = 62 = 36.
The student accidentally swapped the variables. Instead of calcuating x– 2y, he or she calculated y? - 2x
There is no error. The student's answer is correct.
The student failed to square the x part. This led to calculating r as 6 instead of 36.

Answer:

a) The expression for the height, 'H', of the plant after 't' day is;

[tex]H = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \cdot t}}[/tex]

b) The height of the plant after 30 days is approximately 19.426 inches

Step-by-step explanation:

The given maximum theoretical height of the plant = 30 in.

The height of the plant at the beginning of the experiment = 5 in.

a) The logistic differential equation can be written as follows;

[tex]\dfrac{dH}{dt} = K \cdot H \cdot \left( M - {P} \right)[/tex]

Using the solution for the logistic differential equation, we get;

[tex]H = \dfrac{M}{1 + A\cdot e^{-(M\cdot k) \cdot t}}[/tex]

Where;

A = The condition of height at the beginning of the experiment

M = The maximum height = 30 in.

Therefore, we get;

[tex]5 = \dfrac{30}{1 + A\cdot e^{-(30\cdot k) \cdot 0}}[/tex]

[tex]1 + A = \dfrac{30}{5} = 6[/tex]

A = 5

When t = 20, H = 12

We get;

[tex]12 = \dfrac{30}{1 + 5\cdot e^{-(30\cdot k) \cdot 20}}[/tex]

[tex]1 + 5\cdot e^{-(30\cdot k) \cdot 20} = \dfrac{30}{12} = 2.5[/tex]

[tex]5\cdot e^{-(30\cdot k) \cdot 20} = 2.5 - 1 = 1.5[/tex]

∴ -(30·k)·20 = ㏑(1.5)

k = ㏑(1.5)/(30 × 20) ≈ 6·7577518 × 10⁻⁴

k ≈ 6·7577518 × 10⁻⁴

Therefore, the expression for the height, 'H', of the plant after 't' day is given as follows

[tex]H = \dfrac{30}{1 + 5\cdot e^{-(30\times 6.7577518 \times 10^{-4}) \cdot t}} = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \cdot t}}[/tex]

b) The height of the plant after 30 days is given as follows

[tex]H = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \cdot t}}[/tex]

At t = 30, we have;

[tex]H = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \times 30}} \approx 19.4258866473[/tex]

The height of the plant after 30 days, H ≈ 19.426 in.

Answer:

thank you

Step-by-step explanation:

Answer: y = 1/8x+1

y=mx+b is slope intercept form

given m = 1/8 and a point we can find b by plugging in what we have

1=1/8(8)+b

1=1b

b=1

So then we know m = 1/8 and b = 1

y=1/8x+1 is the answer

Answer:

Step-by-step explanation:

x = 1.0

how:

we know that the Hyp of the small triangle is  [tex]\sqrt{2}[/tex]

since we know that ,  then  

[tex]\sqrt{2}[/tex] = 1^2 + 1^2   by  Pythagoras theorem

so each side is 1  :)

Answer:

Step-by-step explanation:

The correct order in which accounting cycles are performed helps in structuring and produce an efficient result in the day-to-day activities of any business organization.  This cannot be found in the options given but the correct order is shown below.

1, 2, 3, 4, 5, 6, 9, 8, 7

In other textbooks, it was stated that option A is correct for part 1.

The wide range of various entries or steps of the accounting cycle will happen depending on the circumstance yet these three activities are there any in the business association independent of circumstances.

1, 2, 3

In other textbook, it was stated that option B is correct for part 2.

Answer:

less than

Step-by-step explanation:

because you can simplify 4/3 into 1 1/3. And it's a bigger number than 7/12.

Answer:

7/3 is less than 4/3

hope it helps.....

Answer:

B (second one)

Step-by-step explanation:

2 x 2 = 4

4 x 1.5 or 1 1/2= 6

hope this helps

Answer:

1 1/2, 2 ,2,

also known as the second option

Step-by-step explanation:

Answer:

d=-1

Step-by-step explanation:

10(1+3d)= -20

divide both sides by 10

1+3d=-2

move the costant to the right, change the sign

3d=-2-1

caclulate

3d=-3

divide both sides by 3

d=-1

Like A to C, also 6 units for C to B/ B to C.

Answer:

i dont

Step-by-step explanation:

good luck

Answer:

8.25

Step-by-step explanation:

A=a+b

2h=6+5

2·1.5=8.25ft²

Answer:

8.25 ft²

Step-by-step explanation:

According to the formula in the image, we would get 8.25

A = 5 + 6

2 × 1.5 = 6 + 5

8.25ft²

Answer:

22 miles in 11 hours!

Step-by-step explanation:

We already know a ghost crab can travel 12 miles in 6 hours.

Now, we just need to find the how many miles per hour the crab walks.

We simply divide 12 miles by 6 hours which gives us 2 miles in 1 hour.

That means, we multiply 11 by 2 which gives us 22 miles!

The ghost crab can travel 22 miles in 11 hours. When you find the rate of change by dividing 12 by 6, it gives you 2 m/h. That enables you to find the amount of miles by multiplying 11 hours by two which gives you 22!

Answer:

Step-by-step explanation:

order of PEMDAS

therefore

Answer:

31/2 or if you want it as a decimal it would be 15.5

Step-by-step explanation:

Answer:

[tex] f(-1) =\boxed{-11}\\ f(0) =\boxed{-4}\\f(2) =\boxed{14}[/tex]

Step-by-step explanation:

[tex]f(x)=\begin{cases} 9x -2 \:\: x < 0\\ 9x-4 \:\: x \geq 0\end{cases}\\\\\because \; -1 \: is \: less\: than \: zero\\\therefore f(-1) \: lies \: in \: the \: interval\: x<0\\\\f(-1) = 9(-1) -2 = -9-2 = -11\\f(-1)=\boxed{-11}\\\\Similarly,\: f(0) \:\&\: f(2)\: lies \: in \: the \: interval\: x\geq 0\\\\f(0) = 9x-4 = 9(0) - 4 = 0-4 = -4\\f(0) = \boxed{-4}\\\\f(2)=9x-4 = 9(2)-4 = 18-4 = 14\\\\f(2)=\boxed{14}[/tex]

Answer:

The first one because it is equal to 94.5 round it off get 95

Answer: 3/2x63

Step-by-step explanation:

Without doing the math, you can look at these to determine if they would be less than or more than 63.

In order for the product to be more than 63, we need a number greater than 1.

7/8 is less than 1. (8/8 would be equal to 1)

2/3 is less than 1. (3/3 would be equal to 1)

4/5 is less than 1 (5/5 would be equal to 1)

3/2 is greater than 1. (2/2 would equal one.)

3/2 is equivalent to 1 and 1/2. (2 goes into 3 1 time with one left over. Place the “leftover” back on top of the denominator)

Alternatively, you could do the math for each possibility by multiplying across the top and dividing by what’s on bottom.

Ex 3/2x 63 = (3x63)/2 =94.5

Answer:

112 cm

Step-by-step explanation:

14 x 8 = 112

Answer:

b, d, and e

Step-by-step explanation:

those are the three answers

Answer:

I would say b d and e to

Step-by-step explanation:

hope that helps

Answer:

D: 5(9a-2b)

Step-by-step explanation:

Each expression in the choices is factored, so we need to see how to factor the given expression.

To factor the given expression, you need to factor out the greatest common factor of both terms.

The terms are 45a and -10b.

The GCF of 45 and -10 is 5.

The GCF of a and b is 1. There is no common factor other than 1.

The GCF of the 2 terms is 5, so we factor out a 5.

45a - 10b = 5(9a - 2b)

Answer: D: 5(9a-2b)

Answer: i think its b

Step-by-step explanation:

since both equations are equal to y...

y = 2x + 10

y = -4x - 2

2x + 10 = y = -4x - 2

2x + 10 = -4x - 2

2x + (4x) = -2 + (-10)

6x = -12

x = -2

______________________________

plug in x = -2 into one of those equations: I will use y = 2x + 10

y = 2(-2) + 10

y = -4 + 10

y = 6

______________________________

okay, so I rechecked my answers several times, and I still got (-2,6)

That MC question has an error since none of the answer choices fit.

Inform your teacher about this.

(I'd say choose that (-3,4) since it works only for one equation y = 2x +10 .... maybe your teacher was supposed to use the other equation instead of y = -4x - 2)

Answer:

B. 50%

Step-by-step explanation:

it's half and half

Answer:

7 and 3

Step-by-step explanation:

Answer:

17 = 3x+8

Step-by-step explanation: