To determine the number of rams in a conservation area, a researcher catches and marks 103 rams. Then the researcher releases them. Later, 89 rams are caught and it is found that 21 of them are tagged. About how many rams are in the conservation area?

There are about rams in the conservation area.

(Round your answer to the nearest whole number as needed.)

Answer:

[tex]\displaystyle 11,3[/tex]

Step-by-step explanation:

Use the Law of Cosines to find the length of the third edge:

Solving for Angles

[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]

Use [tex]\displaystyle cos^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]

Take the square root of the final result or it will be thrown off!

Let us get to wourk:

[tex]\displaystyle 10^2 + 7,9^2 - 2[10][7,9]\:cos\:77,5 = a^2 \hookrightarrow 100 + 62,41 - 158\:cos\:77,5 = a^2 \hookrightarrow \sqrt{128,212541} = \sqrt{a^2}; 11,323097677... \\ \\ \boxed{11,3 \approx a}[/tex]

I am joyous to assist you at any time.

Answer:

V≈220.89cm³

Step-by-step explanation:

Answer: 220.9

4/3 π(3.75)^3=220.9

[tex]\huge\fbox\purple{ANSWER} [/tex]

[tex] \mathsf\pink{v = l \times w \times h}[/tex]

[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]

[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]

[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]

[tex] \mathsf \pink{6in = c}[/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

★ Hence "c" (length) of Rectangular prism (shipping carton) is

[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]

Hope it helps !

Answer:

I'm not sure but if this is on a calculus paper, this may put you on the right track?

Step-by-step explanation:

definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.

Answer:

y = (-3/2)x + 6

Step-by-step explanation:

3x + 2y = 12

2y = -3x + 12

÷2    ÷2    ÷2

y = (-3/2)x + 6

Slope: (-3/2)

Y-intercept: (0,6)

I hope this helps!

Answer:

Its A

Step-by-step explanation

just trust me

The value of 0.36 when converted to a fraction in the simplest form is 9/25.

Your information is incomplete. Therefore, an overview will be given. It should be noted that a fraction is in its simplest form when the numerator and denominator are prime.

From example, let's convert 0.36 to a fraction on its simplest form. This will be:

0.36 = 36/100 = 9/25

In conclusion, 0.36 is 9/25 in the simplest form.

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Answer:

Top question) 12

Bottom question) 16

Step-by-step explanation:

top) you can fit 6 in the bottom of a 3x2 box if the smaller boxes are only 1 cubic foot and since it's also 2 feet high you can also fit another 6 which in total equals 12.

bottom) you can fit 8, 1 cubic foot boxes, in a larger box thats 4x2 and since it's also two feet tall you can fit another 8 in making 16 fitting in the larger box

Hope this helps! pls mark brainliest

Answer:

S₄₀ = 2780

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

14 - 11 = 17 - 14 = 3

this indicates the sequence is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 11 and d = 3 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]

      = 20( 22 + 117)

      = 20 × 139

      = 2780

Answer:

D.

Step-by-step explanation:

817.099 is the smallest

please give brainliest

Answer:

7

Step-by-step explanation:

6/(2)+4

3+4

7(BODMAS)

But if you use calculator it we give you

5

Answer:

The answer is 12

Step-by-step explanation:

1/2x 12 = 6

6/2-2+11 = 12

The final answer is 12

Answer:

B)  width = 4 ft

    length = 9 ft

Step-by-step explanation:

Area = 36 ft²

Let width = x

⇒ length = x + 5

Area of a rectangle = width × length

⇒ 36 = x(x + 5)

⇒ x² + 5x - 36 = 0

⇒ x² + 9x - 4x - 36 = 0

⇒ (x² + 9x) + (-4x - 36) = 0

⇒ x(x + 9) - 4(x + 9) = 0

⇒ (x + 9)(x - 4) = 0

⇒ x = -9, x = 4

As distance is positive, x = 4 only

Therefore,

width = x = 4 ft

length = x + 5 = 4 + 5 = 9 ft

Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, the base prices and the chage in price is given as:

Item                Base Price                    Change Direction

Blender            $29.73                           9% Markdown

Hat                   $14.16                             77% Markup

Ink                    $20.17                            27% Markup

Heater             $28.46                           22% Markdown

Calculating the resultant price:

Resultant price = 29.73 - 9% of 29.73

[tex]P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}[/tex]

Resultant price = 14.16 + 77% of 14.16

[tex]P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}[/tex]

Resultant price = 20.17 + 27% of 20.17

[tex]P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}[/tex]

Resultant price = 28.46 - 22% of 28.46

[tex]P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}[/tex]

Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

Learn more about percent here:

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Answer:

18h × 6g is equivalent to 6(3h + g)

because 6 x 3 = 18 and 6 x 1 = 6

Answer:

The answers are C, D, and F

Step-by-step explanation:

165 ft / 15 inches = 11

scale = 1 inch = 11 feet

which is written as 1:11

Hello and Good Morning/Afternoon:

Let's take this step-by-step:

By looking at this diagram:

 [tex]\hookrightarrow \text {angle C is 45 degrees, angle A is 90 degrees}[/tex]

    [tex]\hookrightarrow \text{We know that the sum of all the angles is 180 degrees in a triangle}[/tex]

                 [tex]a + b + c = 180\\90 + b + 45 = 180\\b + 135 = 180\\b = 45[/tex]

         [tex]\hookrightarrow \text {Therefore angle B is also 45 degrees}[/tex]

With all these angles' measures:

  ⇒ we have a 45-45-90 triangle

       ⇒ which has some special properties (look at the diagram attached)

Based on the diagram:

 [tex]\hookrightarrow \text{the longest side/ hypotenuse (BC)} = \text{ length of leg (AC)} * \sqrt{2} =14\sqrt{2}[/tex]

Answer: [tex]14\sqrt{2}[/tex]

Hope that helps!

#LearnwithBrainly

Answer:

24 cm³

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the area of the base by the height.  V=lwh.  V=(1.5)(2)(8)=24 cm³

Answer:

the answer should be 24

Step-by-step explanation:

1.5 x 2 = 3

3 x 8 = 24

V = L x W x H

V = 1.5 x 2 x 8

Answer:Y = Co + C*x.22.45 = Co + C*200,Co = 22.45 - 200C.29.65 = Co + C*350.Co = 29.65 - 350C. = 22.45 - 200C150C = 7.20, C = 0.048/min.Co = 22.45 - 200*0.048 = $12.85/mo. = Initial cost.Y = 0.048x + 12.85.2. Y = 0.048*110 + 12.85 = $18.13.3. 34.10 = 0.048x + 12.85, X = ?.

Step-by-step explanation:

48 is the correct answer

Answer: 10

Step-by-step explanation: that is the answer because you can not simplify it any further

Answer:

28 inches

Step-by-step explanation:

[tex]P = 2(l+w)[/tex]

[tex]P=2(9+5)[/tex]

[tex]P=2(14)[/tex]

[tex]P=28[/tex]

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

Learn more about the probability distribution here;

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Answer:

C on edge

Step-by-step explanation:

3

Answer:

Step-by-step explanation:

where is exercise 4-9?

or at least give us the equation

The computation of the significance level shows that the p-value is less than 0.01 and the conclusion is that Americans use the internet more than 7 hours weekly.

It should be noted that the significance level simply means the probability that an event occured by chance.

From the complete question, it can be noted that at 0.01 significance level, the t statistic is 17.873 and the degree of freedom is 539.

The p-value for the right tailed test is 0. Therefore, since the p value is less than 0.01, we will reject the null hypothesis. The conclusion is that Americans use the internet more than 7 hours weekly.

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Answer:

k > 13

Step-by-step explanation:

[tex]k+6 > 19\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k > 13\:\\ \:\mathrm{Interval\:Notation:}&\:\left(13,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]k+6-6 > 19-6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]k > 13[/tex]

Thus, the answer is k > 13

[RevyBreeze]