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Hal says the volume of the sphere shown below is 36 cm³.Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.

Radius of the sphere = 3 cm

Answer:

a) The volume of the sphere = 113cm³

b) Hal's likely error was :

He used the wrong formula and did not make use of π = 3.14 in his calculation.

Step-by-step explanation:

a) The Volume of a Sphere = 4/3πr³

The radius of the sphere = 3cm

π = 3.14

The volume of the sphere = 4/3 × 3.14 × 3³

= 113.04 cm³

Approximately to the nearest hundredth = 113cm³.

b) Hal's likely error comes in two forms:

1) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)

ii) Also he did not use π in his calculation.

This means Hal's calculation=

Surface Area of a Sphere = 4πr²

But Hal's used = 4r²

Where r = 3cm = 4 × (3cm)²= 36 cm³

This is wrong.

Answer is 2:3.

~Refer to the attachment for the solution.

Answer:

343.75 miles

Step-by-step explanation:

2.75 * 125 = 343.75

Answer:

By easing the ranking and colerration of the data

Answer: a table is an organized way of displaying data

all data in a table has the same format

you can see how output of a data set changes by looking at a column

you can compare outputs of different functions that have the same input by looking at rows

Step-by-step explanation: edge 2022

Answer:

The number of laps Tonya swam last week were:

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

Answer:

x=2 is the axis of symmetry

Step-by-step explanation:

Answer:

0.4 batches

Step-by-step explanation:

6 / 13 = 0.4

Answer:

As seen on the picture, all the steps A to D are correct.

Note:

Answer:

It represents polynomial expression

Answer:

377

Step-by-step explanation:

f(x) = 3* 2^(x+2) -7

Let x=5

f(x) = 3* 2^(5+2) -7

Parentheses first

f(x) = 3* 2^(7) -7

Then exponents

f(x) = 3* 128 -7

Then multiply

f(x) = 384 -7

Then subtract

f(x) = 377

Answer:

377

Step-by-step explanation:

3×2^x+2 -7

plug in 5 for x

3×2^5+2 -7

3×2^7 -7

377

Answer:

x hope this helped you a lot

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

5√3

Step-by-step explanation:

Thanks to the given information we can say that the smallest leg is 5 because the triangle is half of an equaliteral one.

for the same reason we can say that x is 5√3 that is the simplest from of the result of the Pytaghorean theorem

Answer:

X IS A WORD TE-PAHADI

Step-by-step explanation:

Answer:

proportion: 6/8 = 3/x

x = 4

Step-by-step explanation:

6/8 = 3/x

6/2 = 3

8/2 = x

8/2 = 4

x = 4

Answer:

Step-by-step explanation:

The number 1000 has prime factors:  2, 2, 2, 5, 5, 5.

The factors of 1000 include 1 and combinations of these numbers multiplied together (in any arrangement):

                    1,  2*2*2*5*5*5     or  1, 1000

                    1*2,  2*2*5*5*5    or  2, 500

                    1*2*2,  2*5*5*5    or  4, 250

                    . . .      (You already did these)

But, a “factor” is “a number or quantity that when multiplied with another produces a given number or expression,” so you should consider the following:

           How many 1's?    How many 5's?    How Many 2's?    [and any others ...]

1 =                    1                        0                    0

2 =                    1                        0                    1

4 =                    1                        0                    2

8 =                    1                        0                    3

5 =                    1                        1                    0

10 =                  1                        1                    1

20 =                  1                        1                    2

40 =                  1                        1                    3

25 =                  1                        2                    0

50 =                  1                        2                    1

100 =                1                        2                    2

200 =                1                        2                    3

125 =                1                        3                    0

250 =                1                        3                    1

500 =                1                        3                    2

1000 =              1                        3                    3

There are 4*4=16 factors because there can be 4 (that is, 0-3) 5's and 4 (that is 0-3) 2's.

Answer:

the answer to the question is four

Answer:

Q1. A. 209.8

Q2. B. 313.6

Q3. 448.22 (not in ur options)

Step-by-step explanation:

Answer:

- 11/12

Step-by-step explanation:

5/8 + 3/4

_______ x 24/24

-2/3 - 5/6

15+18

= ______

-16-20

33

= _____

-36

= - 11/12

Answer:

12

Step-by-step explanation:

Answer:

( x + 5 )² + ( y + 4 )² = 29

Step-by-step explanation:

Equation of the circle is

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center

~~~~~~~~~~~~~~~~~~~~~

Coordinates of the center of the circle are

( [tex]\frac{-3-7}{2}[/tex] , [tex]\frac{-9+1}{2}[/tex] ) = ( - 5 , - 4 )

d = 2√29 ⇒ r = √29

( x + 5 )² + ( y + 4 )² = 29

Answer: 64r^36

Step-by-step explanation:

On picture below

[tex]12 {x}^{2} + 8x + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

A) 13.4 feet

Step-by-step explanation:

You need to use the Pythagorean theorem:

L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet

Answer:

X= - 3

Step-by-step explanation:

Multiply both sides by 2 to remove the division on the LHS

3X - 15=8X

Move 3X to the RHS

-15 =8X - 3X

-15= 5X

Divide both sides by 5

-3 =X

[tex]\boxed{c.\:x\:=\:-3}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢  - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] \frac{3x - 15}{2} = 4x \\ ⇢  \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢  \frac{ - 9 - 15}{2} = - 12 \\ ⇢  \frac{ - 24}{2} = - 12 \\ ⇢  - 12 = - 12 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

8

Step-by-step explanation:

10^2=100 6^2=36 100-36=64 sqrt64=8