Suppose a dog is carrying a virus returns to a isolated doggy day care of 40 dogs. Determine the differential equation for the number of dogs D(t) who have contracted the virus if the rate at which it spreads is proportional to the number of interactions between the dogs with the virus and the dogs that have not yet come in contact with the virus.A.dD/dt=kD(40−D)B. dD/dt=k40−D2C. dD/dt=kPD. dD/dt=k(40−D)E. dD/dt=kD

the arc length of the curve over the interval [1,7] is given by:

`L = ∫[1,7] sqrt(1 + 1/x^4) dx`

the arc length of the curve over the interval [1,7] is approximately 5.854 units.

(a) To sketch the graph of the function Y=1/x over the interval [1,7], we can plot some points and connect them with a smooth curve. For example, we can choose some x values in the interval [1,7] and find their corresponding y values using the equation Y=1/x. The table below shows some of these values:

| x | Y=1/x |
|---|-------|
| 1 | 1     |
| 2 | 0.5   |
| 3 | 0.333 |
| 4 | 0.25  |
| 5 | 0.2   |
| 6 | 0.167 |
| 7 | 0.143 |

We can then plot these points and connect them with a smooth curve, as shown in the graph .



The highlighted part of the graph corresponds to the interval [1,7].

(b) To find a definite integral that represents the arc length of the curve over the indicated interval, we can use the formula:

`L = ∫[a,b] sqrt(1 + (dy/dx)^2) dx`

where L is the arc length, a and b are the limits of integration, and dy/dx is the derivative of the function y(x) with respect to x.

In this case, we have y(x) = 1/x, so:

`dy/dx = -1/x^2`

Using this, we can find the integrand for the arc length formula:

`sqrt(1 + (dy/dx)^2) = sqrt(1 + 1/x^4)`

Therefore, the arc length of the curve over the interval [1,7] is given by:

`L = ∫[1,7] sqrt(1 + 1/x^4) dx`

However, this integral cannot be evaluated with the techniques studied so far, since it does not have an elementary antiderivative.

(c) We can use the integration capabilities of a graphing utility, such as Wolfram Alpha or Desmos, to approximate the arc length. For example, using Wolfram Alpha, we can enter the integral `int sqrt(1 + 1/x^4) dx, x=1 to 7` and get the following result:

`L ≈ 5.854`

Therefore, the arc length of the curve over the interval [1,7] is approximately 5.854 units.

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Answer:

y - y = m(x - x)

y + 6 = 2(x + 1)

y + 6 = 2x + 2

y = 2x -4

Answer: Turn the box to a 90 degree angle in any possible way to get your answer.

Step-by-step explanation:

Yes it is very likely that i took it off the graph

Answer:

C= 65.5°

D= 114.1°

Step-by-step explanation:

5x - 6 + 7x +14 = 180

5x + 7x + 14 - 6 = 180

12x + 8 = 180

- 8 - 8

12x = 180

12x/12 = 180/12

x = 14.3

C= 5x - 6

5(14.3)-6

71.5 - 6

C=65.5°

D= 7x + 14

7(14.3) + 14

100.1 + 14

D= 114.1°

65.5 + 114.1 = 179.6°

When this is rounded up, you will get 180°

Hope this helps!

Answer:

1. n=24

2.n=10

3.n=11

4.n=2

5.n=24

6.n=4

7.n=9

8.n=5

9.n=4

10.n=2.1

11.n=3

12.n=18

13.n=45

14.n=15/4

15.n=3

16.n=35

Step-by-step explanation:

The standard normal probability density function is represented by its formula, 1 /σ√2π(e^(-z²/2))

What is standard normal variate?

A standard normal variate is defined as a variate whose mean is equal to 0, i.e. µ=0 and standard deviation is equal to 1, σ =1. Its probability density function is given by:

f(x) = 1/√2π(e^(-z²/2))

Explanation

The standard normal probability density function is a bell-shaped curve that can be represented by using the given formula:

1 /σ√2π(e^(-z²/2))

Hence, the standard normal probability density function is represented by using its formula..

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When the process of observing or measuring yields results that consistently deviate in some way from the true value, this is known as observer/measurement bias. Because of the systematic mistake this adds into the data, the conclusions are incorrect or unreliable.

Observer/measurement bias is a sort of systematic error that happens when the technique used for observation or measurement yields results that consistently deviate in some way from the true value. The observer's own preconceived ideas or expectations, the measurement equipment, and the environment in which the observation or measurement is being conducted can all contribute to this form of bias.An observer's bias, for instance, could cause them to see or measure something in a way that favours one particular result or outcome over another. Similar to how external influences like noise, light, or temperature can skew results, the environment in which the observation or measurement is taking place may add a bias. If feasible, results that are inaccurate or unreliable because of observer/measurement bias should be avoided because they can lead to incorrect inferences about the data.

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Answer:

c

Step-by-step explanation:

20 to 16 is 20% trust me lol

Answer:

The answer is B

Step-by-step explanation:

There are approximately 2.97 billion droplets per acre being sprayed.

To calculate the number of droplets per acre, we need to first convert the diameter of the droplets from microns to inches (since we are using acres as our unit of area). There are 25,400 microns in one inch, so the diameter of the droplets in inches is 250/25,400 = 0.0098 inches.

Next, we need to calculate the area of one droplet. The formula for the area of a circle is A = πr², so the area of one droplet is A = π(0.0049)² = 0.0000754 square inches.

Finally, we can calculate the number of droplets per acre by dividing the total area of one acre (43,560 square feet) by the area of one droplet: 43,560 / 0.0000754 = 2.97 billion droplets per acre.

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Answer:

3/7

Step-by-step explanation:

Answer:

0.5ft

Step-by-step explanation:

The distribution in residence is different today at a 0.05 level of significance can be conclude because the p-value = 0.0172

from the data given we can make the table below:

Categories       Observed(fo)        Expected (fe)        (fo-fe)²/fe

NW Oregon        3109           4357*0.727=3167.539       1.082

SW Oregon        902             4357*0.207=901.899           0

Central Oregon    244          4357*0.048=209.136         5.812

Eastern Oregon    102           4357*0.028=121.996         3.277

Sum =                    4357        4357                                   10.171

first,  null and alternative hypotheses need to be tested:

H0​:p1​=0.727,p2​=0.207,p3​=0.048,p4​=0.028

Ha​: The population proportion partially deviates from the value given by the null hypothesis

This corresponds to a Chi-Square test for Goodness of Fit.

then, Based on the data provided, the significance level is α=0.05, the number of degrees of freedom is df=4−1=3, so then the rejection region for this test is R={\(X^{2}X^{2}\)>7.815}.

after that we should do test statistic

The Chi-Squared statistic is calculated as follows:

∑\(^{n} _{i=1}\)\(\frac{(Oi-Ei)}{y} \\\) =   1.082+0+5.812+10.171 +3.277= 10.171

the we can make a decision about the null hypothesis by

\(X^{2} = 10.71 > X^{2} _{c} = 7.815\)

it is then concluded that the null hypothesis is rejected.

Therefore, there is enough evidence to claim that some of the population proportions differ from those stated in the null hypothesis, at the α=0.05 significance level.

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Answer:

x = 9

Step-by-step explanation:

divide both sides by 14

Answer: x = 9.

Step-by-step explanation: Step 1: Flip the equation.

14x=126

Step 2: Divide both sides by 14.

14x /14

=

126 /14

x=9

Solution:

Given:

A 52-card deck

There are four suits in a standard deck of cards, Clubs, Hearts, Spades, and Diamonds.

There are 13 diamond cards.

Hence,

Probability is calculated by;

Thus, the probability of drawing a diamond on the first draw is;

Since two draws are made with replacement, the cards are completed back again before the next draw.

Hence, the probability of drawing a diamond on the second draw is;

Therefore, the probability of drawing a diamond each time;

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

\(\sqrt{4} \\\)=2

\(\sqrt{100}\)=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

The coordinates of S' when the coordinates of the vertices of ARST are R(-4,-5), S(0,-5), and T(-2,4). If ARST is reflected across the x-axis to create A'R'S'T' is (0,5).

When a coordinate of the vertex is reflected on the x-axis the coordinate of x-axis becomes opposite of the original that is sign gets opposite .

R = (-4 ,-5)

Reflected R = R'  = (-4 , 5)

S = (0,-5)

Reflected S = S'  = (0 , 5)

T = (-2 ,-4)

Reflected T = T'  = (-2, -4)

Hence reflected S that is S' = ( 0 , 5).

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A function f is referred to as being one-to-one if it never accepts the same value again.

Function Definition

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To answer to the question, "What is a one-to-one function?"

A one-to-one function is one in which a single element in the range relates to an element in the domain. In other words, there is exactly one image in the range for each element in the domain.

Every element in the range is mapped to exactly one element in its domain via a specific function known as a one-to-one mapping, which ensures that the outputs never duplicate.

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The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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Answer:

2.448

Step-by-step explanation:

thousandth is the third number place after the decimal point

Answer:

2.448

hope this helps

Answer:

It isn't very relaible, to insure that you get answers correct try to do them yourself or ask your teacher,

Step-by-step explanation:

x=60°, y=15°, angle C is 45°, angle DBC is 105° and angle CBA is 75°.

In the given figure, ∠DBC=7y°, ∠CBA=5y°, ∠C=3y° and ∠D=x°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Here,

∠DBC+∠CBA=180° (Sum of adjacent angles is 180°)

⇒ 7y°+5y°=180°

⇒ 12y°=180°

⇒ y°=15°

∠DBC=7y°=105°, ∠CBA=5y°=75° and ∠C=3y°=45°

Now, ∠DBC=∠C+∠A

⇒ 105°=45°+∠A

⇒ ∠A=60°

Therefore, x=60°, y=15°, angle C is 45°, angle DBC is 105° and angle CBA is 75°.

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Answer:

If you spent $56 on candy, she'd buy 8 pounds.

Step-by-step explanation:

To find the Laplace transform of the function t^2 + at + b using MATLAB, we can use the `laplace` function. In the code, we define the symbolic variables `t`, `s`, `a`, and `b`. Then, we use the `laplace` function to calculate the Laplace transform of the given function with respect to `t` and assign it to the variable `F`.

The result will be the Laplace transform of the function in terms of `s`. To find the inverse Laplace transform of the function (s - 2) / (s^2 - 4s + 5) using MATLAB, we can use the `ilaplace` function.

In the code, we define the symbolic variable `s`. Then, we use the `ilaplace` function to calculate the inverse Laplace transform of the given function with respect to `s` and assign it to the variable `f`. The result will be the inverse Laplace transform of the function in terms of `t`.

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Answer:

So i cant help atm but if you put how many percent the sale was on i can help u

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

change in y over change in x

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

Use the distance formula (or rise over run)

\(\frac{-5-1}{-3-1}=\frac{-6}{-4} =\frac{3}{2}\)

Answer:

D. x. x^7 . x^-4

Step-by-step explanation:

A. X^5 . X^-4 .X^2=X^(5-4+2)= X^3

B. X^-2 .X^9 .x^-4=X^(-2+9-4)= X^3

C.x^0 . x^10 . x^-7=X^(0+10-7)= X^3

D. x. x^7 . x^-4=X^(1+7-4)= X^4