b. Explain why growth rates for these sharks may not continue indefinitely.

Answer:

261.3cm3

Step-by-step explanation:

The volume of the cylinder is 261.3 cm³ if the height of 7.2 cm and diameter of 6.8 cm option first is correct.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

We have diameter = 6.8 cm

The radius r = 6.8/2 = 3.4 cm

h = 7.2 cm

π = 3.14

\(\rm V = (3.14) (3.4)^2 (7.2)\)

V = 261.3 cm³

Thus, the volume of the cylinder is 261.3 cm³ if the height of 7.2 cm and diameter of 6.8 cm option first is correct.

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The expressions are not equal and the explanation is wrong because the index forms have different exponential values.

The correct answer is  14^-1/3

Equivalent expressions are known as expressions that are the same solution but differ in the mode of their arrangement.

From the information given, we have the index forms;

(14^0/14^3)^1/3=14^-2/3

It is important to note that exponents with zero equals 1.

Then, we have that;

1/14^1/3 = 14 ^-2/3

Take the inverse of the exponent

14^-1/3 is not equal to 14^-2/3

Hence, the correct answer is 14^-1/3

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Answer:

IQR = 4

Step-by-step explanation:

Q3 = 6

Q1= 2

6-2=4

If you are given all three sides of a triangle and are attempting to find all three angles, you should always begin with the longest side or the largest angle.

This is known as the law of cosines.The Law of Cosines, also known as the Cosine Rule, relates all three sides of a triangle to its internal angles.

It can be used to solve for any angle or side of a triangle when given enough information.In a triangle with sides a, b, and c and angles A, B, and C, the Law of Cosines states that:a² = b² + c² - 2bc cos(A)b² = a² + c² - 2ac cos(B)c² = a² + b² - 2ab cos(C)

To solve for an angle, rearrange the formula to solve for cos(A), cos(B), or cos(C), then use the inverse cosine function (cos⁻¹) to find the angle. To solve for a side, rearrange the formula to solve for a, b, or c.Law of cosines applies to both acute and obtuse triangles, but is especially useful for obtuse triangles when the Law of Sines cannot be used to solve for a side.

Therefore, the longest side or the largest angle of the triangle should always be used to begin the long answer when solving all three angles.

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Answer:

9.5 feet

Step-by-step explanation:

Area of square garden = side length²

⇒ 90 = l²

⇒ l = √90

⇒ l = 3√10

⇒ l = 9.5 feet (nearest tenth)

The length of one side lies between the whole numbers 9 and 10.

Answer:

9 and 10

side length = 9.5 ft (nearest tenth)

Step-by-step explanation:

Area of a square = s²  (where s is the side length)

Therefore, if the square garden measures 90 ft², the length of one side will be √90.

To find the two whole numbers that √90 lies between, find the perfect square either side of 90.

Perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ...

Therefore, 90 lies between 81 and 100:  

⇒ 81 < 90 < 100

Square root the numbers:

⇒ √81 < √90 < √100

⇒ 9 < √90 < 10

Therefore, the length of one side of Grandma's garden is between 9 and 10.

To estimate √90 to the nearest tenth, find the difference between the three numbers:

\(81 \overset{+9}{\longrightarrow} 90 \overset{+10}{\longrightarrow} 100\)

As 90 is almost in the middle of 81 and 100,

⇒ √90 = 9.5 (nearest tenth)

According to the calculator, √90 = 9.486832981... = 9.5 (nearest tenth)
which verifies the estimation.

The Converse of the Angle Bisector Theorem states that if a point is in the same plane as an angle and divides the angle into two congruent angles, then it lies on the angle's bisector.

The fact that the converse states that the point must be in the same plane as the angle implies that if the point is not in the same plane as the angle, then it cannot divide the angle into two congruent angles, and thus cannot lie on the angle's bisector.

The Angle Bisector Theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides of the triangle. The converse of this theorem states that if a point on the interior of a triangle divides one side of the triangle into two segments that are proportional to the other two sides, then the point lies on the bisector of the angle opposite the divided side.

To understand why this implies that the point must be in the same plane as the angle, we need to consider the definition of a plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions.

It is determined by any three non-collinear points in space. In the context of a triangle, the three vertices of the triangle are non-collinear points that determine a plane.

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Answer:

two solutions at 2/3 and 1/4

Step-by-step explanation:

12q² - 11q + 2 = 0

(3q - 2)(4q - 1) = 0

3q = 2

q = 2/3

4q = 1

q = 1/4

There will be 0.0451 seconds the peak response lag behind the input peak

The peak response of the system occurs at the same frequency as the input torque, which is given as w_f = 16 rad/s.

The amplitude of the steady-state response can be found using the given equation:

A = T_o / sqrt((Jw² - b²)² + (bw)²)

Substituting the given values, we get:

A = 154 / sqrt((3*(16)² - 58²)² + (58*16)²) ≈ 0.574

The phase angle between the input and output can be found using the equation:

tan(o) = bw / (Jw² - b²)

Substituting the given values, we get:

tan(o) = (5816) / (3(16)² - 58²) ≈ 0.908

Therefore, the phase lag between the input and output is given by:

o = arctan(0.908) ≈ 0.725 radians

To find the time lag, we divide the phase lag by the angular frequency:

t_lag = o / w_f ≈ 0.0451 seconds

Therefore, the peak response lags behind the input peak by approximately 0.0451 seconds.

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Options :

negative 4 over 7 is located on the right of −2, and −2 is located on the right of 0

negative 4 over 7 is located on the left of −2, and −2 is located on the right of 0

negative 4 over 7 is located to the right of −2

negative 4 over 7 is located on the left of −2

Answer:

negative 4 over 7 is located to the right of −2

Step-by-step explanation:

-4/7 > - 2

On a number line, numbers are arranged in ascending order (lowest to smallest) the number at the tail end to the left of the numbwr line will be the least number represented by the number line and the highest will be located at the end of the right side of the number line.

Therefore, if it is represented that -4/7 > - 2

Then counting from the left ; - 2 comes before - 4/7

Hence, - 4/7 is located to the right of −2

Answer:

a) 78.5

b) 79

c)78.47

d) 78.470

Answer:

A

Step-by-step explanation:

Angle A=Angle X

AB=XY

AC=XL

Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

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Answer:

i think 34

Step-by-step explanation:

Answer:

Go to. desmos it shows you everthing ,,, trust

Answer:

Neither

Step-by-step explanation:

The lines intersect, but not as a 90 degree angle

The real world situation that can be modelled with the given  expression can be modelled as shown below.

Given is the expression as -

D/3

A real world situation that can be modelled with this expression can be written as follows -

Amanda has a total of {D} bananas. She divides the bananas into 3 of her childrens equally. Write an expression that would represent the amount of bananas recieved by each of her child.

Therefore, the real world situation that can be modelled with the given  expression can be modelled as shown above.

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The equation that represents the whole scenario is 3.80 + 2.25(x) = 33.05  and the number of miles is 13.

Here we will use the linear equation concept to solve the problem. Since we don't know the number of miles represent it with a variable 'x' and form a Linear equation according to the given condition in the problem. Now solve the resultant equation for the value of variable 'x'  

Here we have  

The taxi company charged a pick-up fee of $3.80 plus $2.25 per mile. the total fare was $33.05, not including the tip.    

Let 'x' be the number of miles in the taxi ride

Total cost to travel 'x' mile = 3.80 + 2.25(x)  

From the given data, the total fare was $33.05

=> 3.80 + 2.25(x) = 33.05

=> 2.25x = 33.05 - 3.80

=> 2.25x = 29.25

=> x = 29.25/2.25

=> x = 13

Therefore,

The equation that represents the whole scenario is 3.80 + 2.25(x) = 33.05  and the number of miles is 13.

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Answer:

see explanation

Step-by-step explanation:

assuming the equation is

T = 2π\(\sqrt{\frac{a}{b} }\)  ( divide both sides by 2π )

\(\frac{T}{2\pi }\) = \(\sqrt{\frac{a}{b} }\) ( square both sides to clear the radical )

( \(\frac{T}{2\pi }\) )² = \(\frac{a}{b}\) , that is

\(\frac{T^2}{4\pi ^2}\) = \(\frac{a}{b}\) ( cross- multiply )

b T² = 4aπ² ( divide both sides by T² )

b = \(\frac{4a\pi ^2}{T^2}\)

The 95.2 kilograms of potatoes  by the shop order. With the unit sign kg, the kilogram serves as the International System of Units' unit of mass.

A shop sells potatoes and carrots

let c = carrots

let p = potatoes

let TW = Total weight

The shop orders 50.4 kg more potatoes than carrots

p = 50.4 kg + c

Total weight = Mass of p + Mass of c

TW = 50.4 kg + c + c = 50.4 kg + 2c …. (i)

32% of the total weight is carrots

c = (32 /100 )  * Total weight = 0.32 TW

TW = c / 0.32 …. (ii)

50.4 kg + 2c = c / 0.32

Multiply all through by 0.32

16.128 + 0.64c = c

c -  0.64c  = 16.128

0.36 c = 16.128

c = 16.128 / 0.36 = 44.8 kg

Potatoes = 50.4 kg + c = 50.4 kg + 44.8 kg = 95.2 kg

Hence, the answer is 95.2 kg ordered by the shop.

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Answer:

$15

Step-by-step explanation:

$25.50 divide it by 3 is 8.5, we multiply that by 10 and the result is rested from 100

You will receive $15 as change after buying 10 pizzas.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is that you bought 10 vegetarian pizzas and pay with $100. Also, 3 vegetarian pizzas cost $25.50.

Assume that you receive $[x] as change after buying the pizzas. So, we can write -

[x] = {100 - (25.5/3)10}

[x] = 10{10 - (25.5/3)}

Solving the equation further, we get -

[x] = 10{10 - (25.5/3)}

[x] = 10{10 - 8.5}

[x] = 10 x 1.5

[x] = 15

Therefore, you will receive $15 as change after buying 10 pizzas.

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Rules for these questions

- and - is equal to +

+ and - is equal to -

According to these rules, we have a + and - so we change it to a -

The new equation is

-5/8-8/5

Which is equal to

-25/40-64/40=89/40.

You may simplify it

I hope this helps, if it's wrong blame me..

Answer:

12,000

Step-by-step explanation:

Cost Price of T.V. = Rs. 10000

Profit percent = 20%

Profit = Profit% of C.P.

= 20 divided by 100 multiply by 1000

= Rs 2000

Selling price = C.P. + Profit

= 10000 + 2000 = 12000

Hence, the answer is Rs. 12,000 on selling the T.V.

Hope this helps you!

Answer:

24

Step-by-step explanation:

You can use a simple equation for this:

c=chickens, r=roosters

c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"

we can then do;

10+2r+r (the original number of roosters)=31

3r=21

r=7

BUT, WE'RE NOT LOOKING FOR ROOSTERS!

10+2r=24

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

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Answer:

the answer 2y+2x-2

Step-by-step explanation: