Which of the following represents a set of irrational numbers?
A: {√3, √16, √21, √25}
B: {3.1, 1.234..., √36, π}
C: {12π/4, √2/4, 1.121214…, √5 }
D {23.1, 1.234, √36, 4π }

Answer:

the answer is in the picture

The total area of cardboard needed is equal to 121.34 square centimeters.

This is equal to the surface of the given chocolate.

First, we will have two sides that are rectangles measuring 16cm by 2.6cm, so the area is:

[tex]A = 16cm*2.6cm = 41.6cm^2[/tex]

Then we have another rectangular side which is the bottom one, that is a rectangle of 2.2cm by 16cm, so the are is:

[tex]A' = 2.2cm*16cm = 35.2cm^2[/tex]

Finally, we have the areas of the two triangular faces, the areas of these are:

[tex]A'' = 2.2cm*3cm/2 = 1.47cm^2[/tex]

Then the total area of cardboard needed is:

[tex]area = 2*A + A' + 2*A'' = 2*41.6cm^2 + 35.2cm^2 + 2* 1.47cm^2 = 121.34 cm^2[/tex]

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The height of the green pyramid constructed  by Natalie while playing with magnetic building tiles is 26.25 cm.

The volume of the orange pyramid is calculated as follows;

V = ¹/₃Ah

where;

V = ¹/₃ x (7²) x 5

V  = ¹/₃ x (245 cm³)

Voume = 21 x [¹/₃ x (245 cm³)]

Volume = 1,715 cm³

V = ¹/₃Ah

3V = Ah

h = 3V/A

h = (3 x 1715) / (14²)

h = 26.25 cm

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let's firstly convert the mixed fraction to improper fraction and then proceed.

[tex]\stackrel{mixed}{2\frac{3}{5}}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{ccll} liters&hours\\ \cline{1-2} \frac{13}{5}&\frac{2}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~\frac{13}{5} ~~}{x}~~ = ~~\cfrac{~~\frac{2}{4} ~~}{1}\implies \cfrac{~~\frac{13}{5} ~~}{\frac{x}{1}}~~ = ~~\cfrac{2}{4}\implies \cfrac{13}{5}\cdot \cfrac{1}{x}=\cfrac{1}{2} \\\\\\ \cfrac{13}{5x}=\cfrac{1}{2}\implies 26=5x\implies \cfrac{26}{5}=x\implies 5\frac{1}{5}=x[/tex]

Answer:

270

Step-by-step explanation:

The square cake can be distributed in such a way that each person out of 15 guest may get 8  [tex]inch^{3}[/tex], with the least amount left over .

The Correct option is (1).

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.

First find the volume of square cake,

= 8 x 8 x 2

=128 [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{128}{15}[/tex]

=  8.533 [tex]inch^{3}[/tex]

 2.Volume of round cake (d= 6 inch, r=3 inch, h= 3 inch)

Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]

= [tex]\frac{1}{3} *3.14 *3^{2}* 3[/tex]

=[tex]3.14*9[/tex]

=28.26  [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{28.26}{15}[/tex]

= 1.884[tex]inch^{3}[/tex]

 3.Volume of round cake (d= 8 inch, r=4inch, h= 3 inch)

Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]

= [tex]\frac{1}{3} *3.14 *4^{2}* 3[/tex]

=[tex]3.14*16[/tex]

=50.24   [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{50.24}{15}[/tex]

=  3.349 [tex]inch^{3}[/tex]

 4. Volume = l x b x h

= 6 x 9 x 2

=108 [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{108}{15}[/tex]

=  7.2[tex]inch^{3}[/tex]

According to question each person may get 8 [tex]inch^{3}[/tex].

Only the square cake can be distributed in such a way that each person may get 8 [tex]inch^{3}[/tex], with the least amount left over .

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Answer:

12cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/18 = 4/6

6x = 72

x = 12 cm

Answer:

21

Step-by-step explanation:

Yes, since 21 has more than two factors i.e. 1, 3, 7, 21. In other words, 21 is a composite number because 21 has more than 2 factors.

The number of people at the party now is 23.

The percentage of a number is the fraction of that number multiplied by 100. Percentages are represented with this sign: %.

3 friends arrive at a party. The percentage of people increase by 20%.This can be represented with this equation:

p x 20% = 3 people

where p is the number of people at the party before the friends arrived.

p = 3 / 20%

p = 3 / 0.20

p = 15 people

The total number of people at the party now : 15 + 8 = 23.

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Answer:

The nth terms: 15,24,33,42,51,60,69,78,87,96,105...

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula

Answer:

I really don't know happy

Answer:

its a

Step-by-step explanation:

got it right on the test.

Heyo!

RummySokka is here to help!

Here's a picture, that may help you!!

Hopefully, this helps you!!

RummySokka~

Answer:

If graph of any function going towards down in a particular interval. Then , function is decreasing in that interval.

From x = -∞ to x = a , function is positive and decreasing.

Here, a graph is attached in the question.

We know that, if graph of any function is going towards down in particular interval. Then function is decreasing in that particular interval.

If graph of any function is going towards up in particular interval. Then function is increasing in that particular interval.

In given graph. it is observed that in interval x = -∞ to x = a , graph of function is above x - axis and graph is going towards down. Therefore, in given interval function is positive and decreasing.

Step-by-step explanation:

Answer:

to me I think its c but I don't know if I'm right or wrong and I'm sorry if im wrong and I hope I help you

Answer:

ln t^5s^6.

Step-by-step explanation:

5In t + 6In s

= ln t^5 + ln s^6

= ln (t^5*s^6)

= ln t^5s^6.

Answer:

Find each product.

1. (q + 6)(q + 5) 2. (x + 7)(x + 4)

q2 + 11q + 30 x2 + 11x + 28

3. (n - 4)(n - 6) 4. (a + 5)(a - 6)

n2 - 10n + 24 a2 - a - 30

5. (4b + 6)(b - 4) 6. (2x - 9)(2x + 4)

4b2 - 10b - 24 4x2 - 10x - 36

7. (6a - 3)(7a - 4) 8. (2x - 2)(5x - 4)

42a2 - 45a + 12 10x2 - 18x + 8

9. (3a - b)(2a - b) 10. (4g + 3h)(2g + 3h)

6a2 - 5ab + b2

8g2 + 18gh + 9h2

11. (m + 5)(m2 + 4m - 8) 12. (t + 3)(t2 + 4t + 7)

m3 + 9m2 + 12m - 40 t

3 + 7t

2 + 19t + 21

13. (2h + 3)(2h2 + 3h + 4) 14. (3d + 3)(2d2 + 5d - 2)

4h3 + 12h2 + 17h + 12 6d3 + 21d2 + 9d - 6

15. (3q + 2)(9q2 - 12q + 4) 16. (3r + 2)(9r2 + 6r + 4)

27q3 - 18q2 - 12q + 8 27r3 + 36r2 + 24r + 8

17. (3n2 + 2n - 1)(2n2 + n + 9) 18. (2t2 + t + 3)(4t2 + 2t - 2)

6n4 + 7n3 + 27n2 + 17n - 9 8t

4 + 8t

3 + 10t

2 + 4t - 6

19. (2x2 - 2x - 3)(2x2 - 4x + 3) 20. (3y2 + 2y + 2)(3y2 - 4y - 5)

4x4 - 12x3 + 8x2 + 6x - 9 9y4 - 6y3 - 17y2 - 18y - 10

GEOMETRY Write an expression to represent the area of each figure.

21.

4x + 2

2x - 2

22.

3x + 2

5x - 4

x + 1

23. NUMBER THEORY Let x be an even integer. What is the product of the next two

consecutive even integers?

24. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of

its base and its height. Find an expression for the volume of a rectangular pyramid

whose base has an area of 3x2 + 12x + 9 square feet and whose height is x + 3 feet.

x3 + 7x2 + 15x + 9 ft3

Step-by-step explanation:

Answer:

947.41 ft

Step-by-step explanation:

Tan 36 = opp / adj = height / 1304

1304 * tan 36  = height = 947.41 ft

The linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.

a. Linear regression equation:

We would make used of graphing calculator in order to determine the linear regression equation by plugging the below given data and then  click on stats  so as to perform a linear regression.

Given table:

(x, y), (0, 68), (10, 84), (15, 104), (20, 100), (30, 120)

Hence:

a = 1.72

b = 69.4

Equation

y = ax + b

y = 1.72x + 69.4

b. Correlation coefficient :

Correlation coefficient = 0.967

Correlation coefficient=0.97  (nearest hundredth)

Analysis:

The above correlation coefficient shows a strong positive correlation between the number of jumping jacks and the heart rate.

Therefore the linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.

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Answer:

[tex]-45y + 70[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]-30y + (-15y) + 70[/tex]

[tex]-30y - 15y + 70[/tex]

[tex]-45y + 70[/tex]

Answer: [tex]-45y + 70[/tex]

-30y+(-15y)+70 is the same as

-30y-15y+70

-45y+70

hope helpful ~

Answer:

Step-by-step explanation:

Answer:

step 1: 45:82, unsimplified

step 2: 67:90, unsimplified

Step 3: 1:10 simplified

Step-by-step explanation: Using the property of retrostatistical Ratios, we understand that the answers above are correct.

Answer:

3.4cm

Step-by-step explanation:

Multiply the 2 numbers 5x24=120 then u will solve trhe surface and V=bxh  so then u U will get that

Answer:

A)    x = 2, y = 2

Step-by-step explanation:

An asymptote of a curve is a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see there is a horizontal and a vertical asymptote, both indicated by the dashed straight lines.

The horizontal asymptote is y = 2  (blue dashed line)

The vertical asymptote is x = 2  (red dashed line)

Therefore, the asymptotes are:  x = 2, y = 2

Answer:

1/6

Step-by-step explanation:

Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

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Answer:

7 1/2 cups

Step-by-step explanation:

First, convert the measure of ice cream from pints to cups:

1 pint = 2 cups

⇒ 4 pints = 4 × 2 = 8 cups

Therefore,

Milkshake = 8 cups of ice cream + 1 1/2 cups of milk

                 = 9 1/2 cups

If he drinks 2 cups of milkshake:

Remaining milkshake = 9 1/2 - 2

                                    = 7 1/2 cups

1pint=2cups

Total cups:-

Cups left:-

I would choose "Elimination" method.

Elimination is the easiest method to solve an equation. Because in this method first we have to find the value of "y" by eliminating "x". And at last,the value of "y" which we have got by elimimating,we need put to any equation as we desire. And finally the equation will be solved.

Answer:

0 because there is no black socks.

Step-by-step explanation:

Answer:

0 because there are already some in one drawer

Answer:

D. $17.28

Step-by-step explanation:

Multiply the price of gas per gallon by the number of gallons purchased to get your answer

2.469 x 7 = 17.28

Answer: when you stop acting

Step-by-step explanation: