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3 years ago

9

Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3

2 answers:

Vera_Pavlovna [14]3 years ago

6 0

Answer:

17

Step-by-step explanation:

i did this so many times in middle school

Rashid [163]3 years ago

3 0

Answer:

subject?

Step-by-step explanation:

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Find s(2t - 4) for s(t) = 3t - 7 <br> A)6t - 19 B) 6t - 18 C) 5t - 11 D) 5t - 19

asambeis [7]

Hello,

Answer A

s(x)=3x-7
s(2t-4)=3*(2t-4)-7=6t-12-7=6t-19

3 0

3 years ago

What is the complete factorization of the polynomial below x^3+2x^2+4x+8

vagabundo [1.1K]

Answer:

c) (x + 2)(x + 2i)(x - 2i)

Step-by-step explanation:

x^3 + 2x^2 + 4x + 8

= (x^3 + 2x^2) + (4x + 8)

= x^2( x + 2) + 4(x + 2)

= (x + 2)(x^2 + 4)

= (x + 2)(x^2 - 4i^2) ---------------------------->(i^2 = -1)

= (x + 2)(x + 2i)(x - 2i)

3 0

3 years ago

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

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3 years ago

Furkat [3]

Please explain more to the question where do the numbers go

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4 years ago

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You go to a shoe store planning to buy a new pair of the latest Yeezy drop. A pair is selling around for $250. However you have

musickatia [10]

Answer:

Step-by-step explanation:

4 0

3 years ago

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