Which equation can be used to represent the statement?

The sum of one-sixth of a number and negative two is equal to negative two-thirds.
1. One-sixth + n = negative 2 + two-thirds
2. One-sixth + n = negative 2 + (negative two-thirds)
3. One-sixth n + 2 = negative two-thirds
4. One-sixth n minus 2 = negative two-thirds

Answer: i think its b

Step-by-step explanation:

Answer:

part one =65 or 135

part two=75 or 110

part three=240or260or295

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.

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

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 (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:

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

9514 1404 393

Answer:

  d.  60

Step-by-step explanation:

Rotation is CCW and is more than 30°. The only reasonable answer choice is 60° (d).

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

Answer:

i dont

Step-by-step explanation:

good luck

Answer:

thank you

Step-by-step explanation:

Answer:

Step-by-step explanation:

order of PEMDAS

therefore

Answer:

[tex]( \sqrt{h} + \sqrt{g} )( \sqrt{h} - \sqrt{g} )[/tex]

Step-by-step explanation:

1) Convert h½ to square root.

[tex]( \sqrt{h} + g^{ \frac{1}{2} } )( \sqrt{h} - g^{ \frac{1}{2} } )[/tex]

2) Convert g½ to square root.

[tex]( \sqrt{h} + \sqrt{g} )( \sqrt{h} - \sqrt{g} )[/tex]

Therefor the answer is

[tex]( \sqrt{h} + \sqrt{g} )( \sqrt{h} - \sqrt{g} )[/tex]

Answer:

[tex](\sqrt{h}+\sqrt{g} )(\sqrt{h} -\sqrt{g} )[/tex]

Step-by-step explanation:

Have a great day

Answer:

5n=1m

Step-by-step explanation:

Answer:

5n=1m

Step-by-step explanation:

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:

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: 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:

7 and 3

Step-by-step explanation:

Answer:

B. 50%

Step-by-step explanation:

it's half and half

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:

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:

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:

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

Step-by-step explanation:

Answer:

112 cm

Step-by-step explanation:

14 x 8 = 112

Answer:

17 = 3x+8

Step-by-step explanation: