Isabella invited some friends to her birthday party, but a few weren't able to attend. Of the friends she invited, 8 attended. That was 80% of the friends she invited. Shade the grid to show the percent of invited friends who attended the party. How many total friends did Isabella invite? You can use your model to help.

46204 ft³

Volume of cube: length³ ⇒ 36³ ⇒ 46656 ft³

Volume of cylinder: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³

Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³

For cube

For cylinder

Area of base:-

Volume:-

Volume of figure:-

Answer:

9c4

factoring the monomial

(3c2)(-3c2)

Answer:

1,200

Step-by-step explanation:

Divide 800 by 40

Then take that answer which is 20 and multiply it by 60

Then you get 1,200

Answer:

The vertex of the function is (1.333, 4.667)

Step-by-step explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

[tex]Y = 3x^{2} - 8x + 10\\Compare with the form of y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.[/tex]

Calculate -b/2a:

[tex]X = -(-8)/2(3)[/tex]

[tex]X = 8/6[/tex]

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

[tex]Y = 3x^{2} - 8x + 10[/tex]

[tex]Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10[/tex]

[tex]Y = \frac{48}{9} - \frac{64}{6} + 10\\[/tex]

This is equal to 4.66 reccuring.

Answer:

C

Step-by-step explanation:

Multiplying the sequence by 2 gives us the next term. Therefore it has to be the formula a1 x r^n-1. If we substitute the values it would end up as the answer C

Answer:

The correct answer would be option C; 12 x 2ⁿ⁻¹

Step-by-step explanation:

You can check this using any number

since n is the term number we can check it;

let's say we have to find out the answer to the third term number, so we will substitute the n by 3 in the equation from option C and solve

term = 12 x 2ⁿ⁻¹

term = 12 x 2 ³ ⁻¹

term = 12 x 2 ²

term = 12 x 4

term = 48

The term does match the third number in the series given above and hence the equation works!

Hope this helps!

The inequalities that Heather could have written to compare the temperatures will be:

B. 2 < -10

C. 4 >-20

E. -8 < -15

It should be noted that inequality us the relation between two expressions that aren't equal.

Therefore, the inequalities that Heather could have written to compare the temperatures will be: 2 < -10, 4 >-20,and -8 < -15.

Learn more about inequalities on:

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Answer:

Area of shaded region=41 square feet

Area of non shaded region= 87 square feet

Step-by-step explanation:

As, Shaded area is made of different shapes including two rectangles and one triangle

So,

Area of shaded region,

[tex]=(8\times2)+(10\times 1)+(\frac{1}{2}\times 3\times10)\\\\ =16+10+15=41 \quad \text{square feet}[/tex]

Area of non shaded region=total area of rectangular region-Shaded region

[tex]=(16\times 8)-(41)\\=128-41\\=87 \quad \text{square feet}[/tex]

Answer:

( 16 × 8 )-40

128 -40

=87 square feet

Answer:

help

Step-by-step explanation:

with what what is the question

Answer: The second histogram a.k.a choice B is correct.

5 is the awsterstdysytghujfhds

Answer:

A=34 B=20

Step-by-step explanation:

A: y=6(5)+4 (34)

B: y=45-(9(2)+7)

y= 45-(18+7)

y=45-25 (20)

Answer:

2) -1, 0, 1, 2, 3, 4

3) 78, -2 , 1

Step-by-step explanation:

2) Substitute the x into the equation.

3) Substitute the 9 as the x value into the function so ([tex]9^2[/tex]) -3 = 78 etc.

1 mile = 1.6 kilometers so 24*1.6 = 38.4
24 miles = 38.4 kilometers

1 kilometer = 1000 meters so 38.4*1000 = 38,400 meters
38.4 kilometers = 38,400 meters

1 hour = 60 minutes so 2*60 = 120
2 hours = 120 minutes

To calculate meters per minute, divide.
38,400 / 120 = 320

So that means that Calvin's approximate speed is 320 meters per minute.

Answer:

  3/7

Step-by-step explanation:

Write the division of the pizzas as a ratio, and you will have it.

  (3 pizzas)/(7 persons) = (3/7) pizza/person

__

Each person gets 3/7 of a pizza.

Answer:

8a³b²c(9a²b - 4c)

Step-by-step explanation:

The GCF of 72 and 32 is 8.

72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)

1) (-5, 5), 2) (7, -5), 3) (- 3, 28), 4) (- 12, 0), 5) 10, 6) 14, 7) (- 9, 9), 8) [tex]\sqrt{26}[/tex], 9) - 2, 10) 10, 11) [tex]\left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex], 12) [tex]\left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex], 13) (0, 7), 14) [tex](- 3\sqrt{3}, - 3)[/tex], 15) The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal, 16) [tex]7\sqrt{2}[/tex], [tex]135^{\circ}[/tex], 17) [tex]17[/tex], [tex]137^{\circ}[/tex], 18) [tex]12[/tex], [tex]240^{\circ}[/tex], 19) [tex](19.700, 15.392)[/tex]

Vectors are elements that are charaterized for having a magnitude and a direction, whereas scalar are only characterized by magnitude. In this question we must apply different vector properties to obtain the corresponding results.

The first two exercises consist in calculating each vector based on its initial and terminal points, whose results are obtained below by sum of vectors with initial points at origin:

1) (-1, 3) - (4, -2) = (-5, 5)

2) (2, -6) - (- 5, -1) = (7, -5)

The following eight exercises are resolved by applying the operations of addition of vectors and multiplication of a vector by a scalar, and the definition of norm and dot product as well:

3) 3 · (3, 4) + 2 · (- 6, 8) = (9, 12) + (- 12, 16) = (- 3, 28)

4) (- 6, 8) - 2 · (3, 4) = (- 12, 0)

5) [tex]\| \vec v\| = \sqrt{(-6)^{2}+8^{2}}[/tex] = 10

6) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · (- 6) + 4 · 8 = 14

7) 3 · [(0, 2) - (3, -1)] = 3 · (- 3, 3) = (- 9, 9)

8) [tex]\|\vec v\| = \sqrt{1^{2}+5^{2}} = \sqrt{26}[/tex]

9) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · 1 + (- 1) · 5 = - 2

10) [tex]\vec w \,\bullet \, \vec v =[/tex] 0 · 1 + 5 · 2 = 10

11) The unit vector is obtained by dividing the vector by its magnitude:

[tex]\vec u_{v} = \frac{1}{\sqrt{26}}\cdot \left(1, 5\right) = \left(\frac{1}{\sqrt{26}}, \frac{5}{\sqrt{26}} \right) = \left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex]

12) The vector is equal to the product of the magnitude and its unit vector:

[tex]\vec r = 7 \cdot \frac{\vec u}{\|\vec u\|}[/tex]

[tex]\vec r = \frac{7}{\sqrt{10}}\cdot (3, -1) = \left(\frac{21}{\sqrt{10}}, -\frac{7}{\sqrt{10}} \right) = \left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex]

13) and 14) The vector is the product of the magnitude and the directional vector:

13) [tex]\vec r = 7 \cdot (\cos 90^{\circ}, \sin 90^{\circ}) = (0, 7)[/tex]

14) [tex]\vec r = 6\cdot (\cos 210^{\circ}, \sin 210^{\circ}) = (- 3\sqrt{3}, - 3)[/tex]

15) Two vectors are orthogonal if and only if their dot product is zero:

[tex](3.2, 4.8) \,\bullet\,(-3, 2) =[/tex] 3.2 · (- 3) + 4.8 · 2 = 0

The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal.

The next three exercises are resolved by definitions of norm and direction:

16) [tex]\|\vec v\| = \sqrt{(-7)^{2}+7^{2}} = 7\sqrt{2}[/tex], [tex]\theta = 135^{\circ}[/tex]

17) [tex]\|\vec v\| = 17[/tex], [tex]\theta = 137^{\circ}[/tex]

18) [tex]\|\vec q\| = 12[/tex], [tex]\theta = 240^{\circ}[/tex]

The last exercise consist in defining the vector as a product of magnitude and direction vector:

19) [tex]\vec v = 25\cdot (\cos 38^{\circ}, \sin 38^{\circ}) = (19.700, 15.392)[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477

Answer:

-33.6

Step-by-step explanation:

1. Solve inside the brackets = 4.2

2. Multiply that by -8 = -33.6

Answer:

-33.6

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

This will create a cylinder    volume = 1/2 pi  r^2 h = 1/2  pi  4  *  12

                                                            = 24 pi = 75.398 in^3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the 2nd and 4th answers look good.  the 1st answer is correct as well.

To solve this look at the x axis and y axis,  the x axis is in inches, the y axis is in pounds.  So you know that as the distance increase per inch,  the force in pounds is increasing too.  

so the force applied is going up,   0.73 pounds , for each inch of travel ( or stretch) of the spring.  

Answer:

c = -13.78.

Step-by-step explanation:

21.2x + c  ≡ 5.3(4x - 2.6)

21.2x + c  ≡ 21.2x - 13.78

Equating constant terms:

c = -13.78.

Answer:

13.78

Step-by-step explanation:

21.2x + c = 5.3(4x - 2.6)

open the bracket

21.2x + c = 21.2x - 13.78

collect like terms

c + 13.78 = 21.2x - 21.2x

c + 13.78 = 0

c = -13.78

Answer:

3.62

Step-by-step explanation:

118 square rooted is 10.86

10.86/3 = 3.62

Answer:

[tex]x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]

Step-by-step explanation:

Given equation:

[tex]3x^2=118[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{3x^2}{3}=\dfrac{118}{3}[/tex]

[tex]\implies x^2=\dfrac{118}{3}[/tex]

Square root both sides:

[tex]\implies \sqrt{x^2}=\sqrt{\dfrac{118}{3}}[/tex]

[tex]\implies x=\pm\sqrt{\dfrac{118}{3}}[/tex]

[tex]\implies x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

so the dvd player is 984 dollars so now we multiply it by three and our total would be 2,952

Divide 50 by 20%

50/20% = 50/0.20 = 250

Answer: 250

Answer:

The answer is C.

Step-by-step explanation:

C. 50-59 since it has the same number of employees as 10-19.

We can actually see that the statements that are true are:

A. x = 1 is a solution.

C. x = –1 is a solution.

Rational equation is actually known as an equation that contains at least one fraction. The denominator and numerator are known to be polynomials.

We can see then that:

[tex] \frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{x + 10}{ {x}^{3} + 6 {x}^{2} } [/tex]

It's clear that: x ≠ 0 and x ≠ -6.

Looking for the LCM of the left hand side, we will have:

[tex] \frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{4 {x}^{2 } + (x + 6)}{(x + 6) {x}^{2} } [/tex]

So, we will see that left hand side and right hand side are equal.

[tex]4 {x}^{2} + x + 6 = x + 10[/tex]

[tex]4 {x}^{2} = 10 - 6[/tex]

[tex]4 {x}^{2} = 4[/tex]

[tex] {x}^{2} = 1[/tex]

[tex] x = 1[/tex]

or

[tex]x = - 1[/tex]

So, we can see that options A and C are correct.

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Answer:

-1 and 1  or A and C

Step-by-step explanation: