This is the other question!

Answer:

Volume of cone = 686π/3 or 718.67 in³

Step-by-step explanation:

Given the following data;

Radius, r = 7 in

Height, h = 14 inches

From the diagram, we can see that the object is a cone

To find the volume of a cone;

Mathematically, the volume of a cone is given by the formula;

\( V = \frac{1}{3} \pi r^{2}h\)

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the equation, we have;

\( Volume = \frac{1}{3} * \frac {22}{7} *7^{2}*14 \)

\( Volume = \frac{1}{3} * 22 * 7 * 14 \)

\( Volume = \frac{1}{3} * 2156 \)

\( Volume = 718.67 \)

Volume of cone = 718.67 in³ or 686π/3 in³

Answer:

  (a)  -3

Step-by-step explanation:

The value of f(x) approaches 3cos(π) = -3 as x approaches π from either direction. The limit is -3.

__

Additional comment

The fact that the function is defined to have a different value at x=π simply means there is a jump discontinuity there. The function is not continuous, because the limit and the function value differ. That doesn't detract from the fact that there is a limit, and it is -3.

Answer: 4+9=10+3

Step-by-step explanation:

We can subtract the number, 4 to get 3. The extra one from the 4 would go to the nine.

Answer:

Step-by-step explanation:

Plug in -6 for x

f(-6)=13(-6)-5

     = -78-5

     = -83

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Number of states ,  100 Percentage of students  0- 0 100 Percentage of students 20 21- 40 41- 60 61- 80 81- 100

1. Draw a horizontal axis with percentages of students (0 - 100%) marked along the axis.

2. Draw a vertical axis with number of states (0 - 25) marked along the axis.

3. Divide the horizontal axis into sections, with each section corresponding to one of the percentage ranges in the table (20%, 21-40%, 41-60%, 61-80%, 81-100%).

4. For each section, draw a rectangle with a height that corresponds to the number of states in that range. For example, for the 81-100% section, the rectangle should have a height of 25.

5. Label each rectangle with the corresponding percentage range.

The final result should be a histogram that shows the percentage of high school graduates who took a national test in 2016 among the 50 states and the District of Columbia.

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Answer:

There is no picture but I think b

Step-by-step explanation:

The current price index is mathematically given as,

$538.194

This is further explained below.

The index value may be calculated by taking the ratio of the current value to the reference value and multiplying that ratio by 100.

In regard to this issue, we have that:

Current value = $3.10

Reference value: $0.576

Generally, the  Index price for the is mathematically given as,

I = (3.10/0.576)*100

I= $538.194

The current price index number is 538.194

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The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

Step-by-step explanation:

Answer:

y=-1x+5

Step-by-step explanation:

14  is the perimeter of the rectangle .

What does a rectangular 's perimeter mean?

The answer provided below has been developed in a clear step by step manner.

Step: 1

Given,  A(x) = x(14-x)

Comparing with A = lw , we have

Length , l = x and

Width , w = 14 - x

Step: 2

We know,

Perimeter of rectangle ,

p = 2( l + w )

p = 2 ( x + 14 - x )

p = 28

Hence,

Perimeter of rectangle = 14

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Answer:

Solving method

360°÷8 (number of sides)

= 45°

Answer:

Option D: [-5,9]

Step-by-step explanation:

We know that the range of a function calls for the interval of numbers of the y coordinate. By looking at the graph you can see that the lowest point is -5 and the highest point is 9. Because these two points have closed circles the answer will use brackets and not parentheses. Therefore [-5,9].

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer:

IJ units

Step-by-step explanation:

What else is there..?

Answer:

Option 2: (1,0) is the correct answer

Step-by-step explanation:

Given inequality is:

y>-5x+3

In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.

Putting (0,3) in inequality

\(3 > -5(0)+3\\3>0+3\\3>3\)

Putting (1,0) in inequality

\(0>-5(1)+3\\0>-5+3\\0>-2\)

Putting (-3,1) in inequality

\(1 > -5(-3)+1\\1> 15+1\\1>16\)

Putting (-1,-2) in inequality

\(-2>-5(-1)+3\\-2>5+3\\-2>8\)

The inequality is true for (1,0)

Hence,

Option 2: (1,0) is the correct answer

The concurrent parts in ABDE are Side AB ≅ Side ED and Side AE ≅ Side BD.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. The symbol ≅ used for concurrence.

Here we have,

ABDE is an isosceles trapezoid.  

If we draw two diagonals in a given trapezoid as given picture

Then the diagonal  will divide the trapezoid into 4 triangles

Here ΔAOB, ΔBOD, ΔEOD, and AOE

Here ΔAOB and ΔEOD will be two concurrent triangles

And ΔBOD and AOE will be two concurrent triangles

From ΔAOB and ΔEOD

Side AB ≅ Side ED  

From ΔBOD and AOE

Side AE ≅ Side BD    

Therefore,

The concurrent parts in ABDE are Side AB ≅ Side ED and Side AE ≅ Side BD      

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So, first we have to put in an equation

9/20+ 2 9/10

multiply 9/10 by 2

So you get 9/20+ 2 18/20

Add the fractions together and you'll get 26/20

since their isn't a whole number a whole number it's just 2 and 26/20 reduce it to

2 and 9/5

I hope this is right. This is how I was taught.

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

0.5

Step-by-step explanation:

The two figures are similar

find the linear scale factor of the two figures

=L/l ......... 10/4

=2.5

use the linear scale factor to find the other side

2.5= 5/n

2.5n=5 divide both sides by 2.5

n=0.5

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

36,288

Step-by-step explanation:

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

3.91

Step-by-step explanation:

\(8.993=2.3\theta \implies \theta=3.91\)

Answer:

£2578.8

Step-by-step explanation:

49×12.80= £627.2

if 49 of the people are under 16, then the rest are 16 and above

so, 155-49 = 106

number of students at 16 and above are 106

then, 106× £18.60 = £2578.8.

Answer:

3x - 5 = 10

Step-by-step explanation:

Two equations are formed and by solving the two equations, we get the time for which each sprinkler was used.

What is an equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Let the no. of hours the sprinkler was used by the Robinson family be 'x' hours and by the Moore family be 'y' hours.

Then we get two equations:

\(40x+15y=1400..........(1)\)

\(x+y=60.....................(2)\)

By solving these two equations, we get

\(x=20,y=40\)

Hence, the Robinson family used their sprinkler for 20 hours and the Moore family used theirs for 40 hours.

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B) $19.24 can be saved

First, we determine the volumes of the posts may it be cylindrical in shape or rectangular prism. 

(A) cylindrical:

                        ( π(26.7/100)² - π(24.2/100)²)*(7.5) = 0.3 m³

(B) rectangular prism:

                         (40/100)²(7.5) - (35/100)²(7.5) = 0.28125 m³

Then, we calculate for the amount of substance

 (A) cylindrical:   (0.3 m³)(2700 kg/m³) = 810 kg

 (B) rectangular prism : (0.28125 m³)(2700 kg/m³) = 759.375 kg

Then, calculate for the costs

 (A) (810 kg)($0.38/kg) = $307.8

 (B) (759.375 kg)($0.38/kg) = $288.56

Thus, the answer for A is rectangular post 

B. About $19.24 can be saved. 

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