A disease is spreading through a flock of 100 sheep. Let S(t) be the number of sick sheep t days after the outbreak. The disease is spreading at a rate proportional to the product of the time elapsed and the number of sheep who do not have the disease. Suppose that 10 sheep had the disease initially. The mathematical model is:________

Answer:

A

Step-by-step explanation:

Dimension of the rectangular fence:

Length = 30 ft

Width = 25 ft

Perimeter of the rectangular fence = 2(L + W)

= 2(30 + 25) = 2(55)

Perimeter = 110 ft

Fencing cost per foot = $4.05

Fencing cost for 110 ft = 110 × 4.05 = $445.50

Answer:

Answer · 6 votes

$b = 6 $ \ $ h =12$

Answer:

14 because when you divide it but not sure what yours is about

Step-by-step explanation:

hope you get an answer, sorry im no help

Answer:

x = 25

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees.

90 + x+ 2x+15 =180

Combine like terms

105+3x = 180

Subtract 105 from each side

105+3x-105 = 180-105

3x =75

Divide each side by 3

3x/3 = 75/3

x = 25

Answer:

25°

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

To answer this question you can use the Pythagorean theorem which is a^2 + b^2=c^2. Plugging in the values you get 8^2 + 15^2=c^2. 8 times 8 is 64 and 15 times 15 is 225. 64+225=289. That leaves 289=c^2. Then find the square root of both numbers which leaves you with 17=c

Answer:

[tex]\boxed {\boxed {\sf c=17}}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that a is 8 and b is 15. We don't know the measure of c.

[tex]a=8 \\b=15[/tex]

Substitute the values into the formula.

[tex](8)^2+(15)^2=c^2[/tex]

Solve the exponents.

[tex]64+225=c^2[/tex]

Add on the left side.

[tex]289=c^2[/tex]

Take the square root of both sides. This "cancels out" the exponent of 2 and isolates the variable.

[tex]\sqrt {289}=\sqrt{c^2}\\\sqrt{289}=c\\17=c[/tex]

The measure of c is 17.

Answer:

33.5

Step-by-step explanation:

4x+5+41=180

4x+46=180

4x=180-46

4x=134

4x=33.5

Answer:

(1-cosA)/(1+cosA)

=(1-cosA)/(1+cosA) ×(1-cosA)/(1-cosA)

=(1-cosA)^2 /(1-cos^2A)

=(1-cosA)^2 / (sin^2A)

=(1/sinA - cosA/sinA )^2

=cosecA - cotA)^2

Hope it helps

Have a great Day ; )

Answer:

1 8/25

Step-by-step explanation: its right

Answer:

33/25

Step-by-step explanation:

Answer:

all you got to do at the Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

Step-by-step explanation:

Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

Answer:

5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12

Answer:

7

Step-by-step explanation:

If each amount of time is a separate person, then 7

Answer:

26 to 18

26 cause that's the number of kids goin g to the field trip to 18 cause that's all the kids staying

Answer:

i think is 3.3 but i dont know

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

Count figures after the decimal

Answer:

12 x 9 (12 on the top and bottom and 9 on the sides)

Step-by-step explanation:

100 km = 2 units, or 2 boxes

450 x 2/100 = 900/100 = 9

(not sure if this would help or not)

Answer:

1.02 or 51/50

Step-by-step explanation:

First we convert the fraction 6/10, as a decimal

6/10 = 0.6

Then we simply multiply

1.7 × 0.6 = 1.02

Lastly we reduce

1.02 = 1 2/100 or 51/50

Answer:

Step-by-step explanation:

15:55

= 3:11

Answer: 117in²

Step-by-step explanation:

area of a parallelogram= bh (base times height)

13 times 9 = 117in²

Answer:

0.9225 = 92.25% probability that two or more internship trained candidates are hired.

Step-by-step explanation:

Candidates are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Group of 13 individuals:

This means that [tex]N = 13[/tex]

6 candidates are selected:

This means that [tex]n = 6[/tex]

6 in trained internships:

This means that [tex]k = 6[/tex]

Find the probability that two or more internship trained candidates are hired.

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041[/tex]

[tex]P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225[/tex]

0.9225 = 92.25% probability that two or more internship trained candidates are hired.

Answer:

0.00421 centimeters.

Step-by-step explanation:

thats ur answer

Answer:

I believe that your answer would be 2.18527315×10^-1

Simplified would be 2.2×10^-1

Step-by-step explanation:

I hope this helps

Answer: 353 square inches

Step-by-step explanation:

Answer:

I think c

Step-by-step explanation:

Answer:

yeah it sucks I'm sorry that happened to you. it'll get better. never be friends with that toxic person again.

Answer:

372

Step-by-step explanation:

We are given that the dimensions of the box are,

Length = 15 cm, Width = 20 cm and Height = 9 cm.

We know that the box represents a cuboid.

Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H

Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9

i.e. Surface area = 300 + 270 + 360

i.e. Surface area = 930.

Thus, the surface area of the box is 930 cm² i.e. 9300 mm².

Further, the sides of the tiles are 5 mm and the tile represents a square.

So, the surface area of the tile = 5 × 5 = 25 mm².

This gives us that,

Number of tiles required to cover the box =  = 372.

Hence, Dmitri requires 372 tiles to cover the box.

Answer:

0.4003 = 40.03% probability that the second household selected will have a traditional landline telephone.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The first household selected does not have a traditional landline telephone.

This means that of 1250-1 = 1249 households, 500 have traditional landline telephones.

What is the probability that the second household selected will have a traditional landline telephone

500/1249 = 0.4003

0.4003 = 40.03% probability that the second household selected will have a traditional landline telephone.

Answer:

B. 85

Step-by-step explanation:

A triangle has a total of 180 degrees.

85 + 55 = 140

140 + 40 = 180

Your answer is B. 85

The value of x is 85°

The sum of interior angles of a triangle are 180°

If ∠A, ∠B, ∠C are three interior angles of a triangle,

Then ∠A+∠B+∠C = 180°

Given that, Two angles of the triangle are 40° & 55°

Let, the third angle be x.

Then, Sum of angles = 180°

     ⇒ 40°+55°+x = 180°

     ⇒ x+95° = 180°

     ⇒ x = 180°-95°

     ⇒ x = 85°

The value of x = 85°

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