Students synthesize the material they have learned about using the volume
of a sphere formula by sorting different representations of the equation.
Student-Facing Task Statement
Some information is given about each sphere. Order them from least
volume to greatest volume. You may sketch a sphere to help you visualize if
you prefer
Sphere A: Has a radius of 4
Sphere B: Has a diameter of 6
Sphere C: Has a volume of 641
Sphere D: Has a radius double that of sphere B.

Answer:

The area is: 4x^5 + 8x^3

Equation: (2x^3 + 4x) * 2x^2

^ = exponent

* = multiply

Step-by-step explanation:

When you try to find the rectangle of an area, the formula is:

Length * Width

In this case, the length is:

2x^3 + 4x

And the width is:

2x^2

Now let's solve the equation.

(2x^3 + 4x) * 2x^2

We need to combine like terms

2x^3 + 2x^2 = 4x^5

After evaluating the equation:

4x^5 + 8x^3

The area is: 4x^5 + 8x^3

hope this helped :)

Answer:

28.478

Step-by-step explanation:

Answer:

0.75757575757

Step-by-step explanation:

Answer:

7 cm

Step-by-step explanation:

Area of a parallelogram formula:

[tex]A=bh[/tex] where b is the base length and h is the height

Plug in known values (A=112, b=16 and h=x)

[tex]112=16x[/tex]

Divide both sides by 16 to isolate x

[tex]\frac{112}{16} = \frac{16x}{16}\\7=x[/tex]

Therefore, x is equal to 7 cm.

I hope this helps!

Answer:

d = 6 units

Step-by-step explanation:

If x^2 + y^2 = 9, x^2 + y^2 = 3^2 = r^2.  The radius is 3 and the diameter is twice that, or d = 6 units

Answer: 19/4 or 4 3/4 or 4.75

Step-by-step explanation:

Given

 4 + 3/4

Convert all number integer into fraction form

 4 + 3/4

= 16/4 + 3/4

Combine like terms

= (16+3) / 4

= 19/4

= 4 3/4

= 4.75

Hope this helps!! :)

Please let me know if you have any questions

Answer:

17, add up all the percentages, then subtract 100 by whatever u got, 100-83= 17

Answer:

140

Step-by-step explanation:

4 * 4 =16

Right triangle is 10 because 5 *4=10

9 * 9 = 81

7*5=35

16 + 10 + 81 + 35= 142

142 rounded to the nearest ten is 140

Answer:

A

Step-by-step explanation:

at least are key words for   [tex]\geq[/tex] symbol

Area is L x W and since you have W its basically:

[tex]33x\geq 165[/tex]

Answer:

77.5 degrees

Step-by-step explanation:

sin(90)/42=sin(?)/41

sin(90)/42 times 41=0.9761904

sin^-1(0.9761904)=77.47209456 degrees

Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

43 + <D = 180

<D = 180 - 43

<D = 137 degrees

Answer: If Teresa‘s family bought individual passes it would be $150 so then if you subtract it would be $30. Teres’s family saved 30 dollars.

Step-by-step explanation:

They can save  $30

Step-by-step explanation:

If the family pass is $120 and individual passes are $25 dollars.

6 people times $25 dollars = $150

Family pass: $125

$150-$125=$30

Answer:

x=3

Step-by-step explanation:

4x-9=3

4x=3+9

4x=12

x=12/4

x=3

Answer:

x=3

Step-by-step explanation:

1) 4x-9 = 3

2) 4x=12

3) x=3

Check it:

4(3)-9=3

12-9=3 checks :)

The sale price 's' of a book is $3.50 less than the original price 'p'. This situation is represented by the given equation s = p - 3.5.

Two or more expressions with an Equal sign is called as Equation.

The given equation is s = p - 3.5, where 's' represents the sale price and 'p' represents the original price of a book.

The equation shows that to get the sale price 's', the original price 'p' is reduced by $3.50.

If the sale price 'p' of a book is $3.50 less than the original price 's', then we can rewrite the equation as p = s + 3.5.

This situation is not represented by the given equation.

If the sale price 's' of a book is $3.50 more than the original price 'p', then the equation would be s = p + 3.5.

This situation is also not represented by the given equation.

Hence, the sale price 's' of a book is $3.50 less than the original price 'p'. This situation is represented by the given equation s = p - 3.5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer: 49

Step-by-step explanation:

If 72% of the stamps he collected were

foreign, the percentage of the other stamps will be: = (100% - 72%) = 28%

Since the total number of stamps collected are 175, the number of other stamps collected will be:

= 28% of 175

= 28% × 175

= 28/100 × 175

= 0.28 × 175

= 49

Therefore, he collected 49 other stamps that were not foreign

Answer:

answer is c

Step-by-step explanation:

Answer:

Angle 3 is 113°

Step-by-step explanation:

Angles 2 & 3 is supplementary, so it equals 180°. Subtract 67 from 180 and you get 113. DUH.

Good Luck!!

Answer:

113°

Step-by-step explanation:

6 & 2 make a 180 ° angle

180-67 = 113

113° = angle 6

angle 6 is equivalent to angle 3

Answer:

A

Step-by-step explanation:

Answer:

8x+4 and 2x-4

Step-by-step explanation:

We are going to use factoring to make equivalent expressions. What you do is you take the number next to the parenthesis and multiply it with what is inside the parenthesis. So it would be 8x+4 and 2x-4. Hope this helps! :)

Answer: Are there any answer choices? If there are I could probably help you, thanks <3

Step-by-step explanation:

Answer:

Definitely point c, because the check means square root of the number. If you look up the square root of 300, then you would get 17.3205080757, in other words point c.

Step-by-step explanation:

Hope this helps!!

Answer:

4th choice: y=-∛(x+2) - 1

Step-by-step explanation:

It's horizontal translation to left 2 units and vertical translation down 1 unit from y = -∛x

It's reflection of  y = ∛(x-2) - 1 over y axis

Answer:

y = 140°

Step-by-step explanation:

we know that sum of two opposite interior angles are equal to one exterior

=> y = 120° + 20°

=> y = 140°

hope it helps

Answer:

9

Step-by-step explanation:

multiply both sides by 15 to get:

45/5 = x

9 = x

Answer:

[tex]\overline {DC}[/tex] = 7

[tex]\overline {BD}[/tex] = √35

[tex]\overline {AB}[/tex] = 2·√15

Step-by-step explanation:

Please find attached the drawing of right triangle ABC created with MS Visio

Let 'x' represent [tex]\overline {BD}[/tex] let 'y' represent [tex]\overline {DC}[/tex], and let 'z' represent [tex]\overline {AB}[/tex], we get;

5² + x² = z²...(1)

x² + y² = (2·√21)² = 84

x² + y² = 84...(2)

84 + z² = (5 + y)²...(3)

From equation (1), we have;

x² = z² - 5²...(4)

From equation (2), and equation (4), we have;

x² + y² = 84 = (z² - 5²) + y² = 84

∴ z² = 84 - y² + 5² = 109 - y²

z² = 109 - y²...(5)

From equation (3), and equation (5), we have;

84 + z² = (5 + y)² = 84 + (109 - y²) = (5 + y)²

84 + (109 - y²) = (5 + y)²

(5 + y)² - (84 + (109 - y²)) = 0

2·y² + 10·y - 168 = 0

y² + 5·y - 84 = 0

y = (-5 ± √(5² - 4 × 1 × (-84)))/(2 × 1)

y = 7, or y = -12

We note that 'y' is a natural number, therefore, the correct option of the two options is y = 7

y = [tex]\overline {DC}[/tex] = 7

From equation (2), we have;

x² + y² = 84

x² = 84 - y² = 84 - 7² = 35

x = √35

x = [tex]\overline {BD}[/tex] = √35

z² = 109 - y²

∴ z² = 109 - 7² = 60

z = √60 = 2·√15

z = 2·√15

z = [tex]\overline {AB}[/tex] = 2·√15.

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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Answer:

90 - 43 = x

Step-by-step explanation:

Answer: 47

Step-by-step explanation:

Dude just subtract 43 from 90, since you are given a 90 degree angle.

But if you need the equation: 43+x-7=90

add 43 and (-7) which gives us 36

new equation is now: 36+x=90

move the 36 to the other side

x=54

now plug it in x(54)-7=47