Evaluate log2 8.

1) 0.25

2) 0.33

3) 3

4) 4

Answer:

[tex]157 m^{3}[/tex]

Explanation:

Volume = 1/3(area of base) times height. 1/3(PI X R(squared)) X height. 1/3 x 3.14 x 25 x 6 = 157

Hope this helps and have a great day/night!

             -grey

The required volume of the figure is 50π cubic meters.

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

The volume of an oblique circular cone is given by the formula:

V = (1/3) × π × r² × h

Where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

As per the question, we are given that the radius is 5 meters and the height is 6 meters, so we can substitute these values into the formula:

V = (1/3) × π × (5²) × 6

V = (1/3) × π × 25 × 6

V = (1/3) × π × 150

V = 50π

Therefore, the volume of the figure is 50π cubic meters.

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Answer:

A. 57 7/9

Step-by-step explanation:

First you multiply 13/3 (the length) by 10/3 (the width). You get 130/9. You then multiply 130/9 (the base) by 12/3 which equals 1560/27.

1560/27 can be simplified to 57.7777778, which in turn converts to 57 7/9.

57 7/9 is the final answer.

Answer:

Speed of boat in still water = 11 miles per hour.

Step-by-step explanation:

Speed = distance / time

or

Distance= Speed * time

Let s be speed of the boat upstream and r be the speed of the river.

Then

Upstream speed=  s- r = 60/6= 10 miles per hour

Downstream speed= s+r= 72/6= 12 miles per hour

Therefore

s-r= 10--------- equation A

s+r= 12--------- equation B

Adding equation A and Eq. b

s-r= 10--------- equation A

s+r= 12--------- equation B    

2s    = 22                            

or

s= 22/2= 11 miles per hour.

Speed of boat in still water = 11 miles per hour.

Answer:

hjyfgtuygtfvfvhjkoijuhgytfrdetrft

Step-by-step explanation:

dcfgvhbjnkiouytrfdr

Answer:

-2.94

Step-by-step explanation:

I got the answer correct on edge

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph, we have the following coordinates.

= (5, 70)

This means after 5 months $70 is saved.

= (10, 140)

This means after 10 months $140 is saved.

Johnny's rate of savings.

= Change in the savings amount/change in the months

= (140 - 70) / (10 - 5)

= 70/5

= $14

Thus,

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

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Answer:Cy-Cx=10,000

Step-by-step explanation:

Answer:

Cy-Cx=10000

Step-by-step explanation:

Answer:

The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant

y/x ≠ Constant

Step-by-step explanation:

The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;

x; 1, 2, 3, 4, 5

y; 25, 40, 55, 70, 85

The rate of change of the data in the table is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Between the 1st and the 3rd point, we have;

m = (55 - 25)/(3 - 1) = 15

Between the 1st and the 5th point, we have;

m = (85 - 25)/(5 - 1) = 15

Therefore, the rate of change of the y values  per unit change of the x-value is 15

Therefore, the "x" and y-values have a linear relationship

However, for a proportional relationship, we have;

y/x = Constant

At the 1st point, we have;

25/1 = 25

At the 3rd point, we have;

55/3 = 18.[tex]\overline 3[/tex]

∴ y/x is not constant and the the data in the table does not represent a proportional relationship.

Answer:

f(x) = 0.5(x + 3)(x − 1)

Answer:

C.The answer is line

Step-by-step explanation:

Answer:

If two planes are not parallel or coincident, then their intersection is a line.

Step-by-step explanation:

Answer: Unless you round it to a whole number the answer would be 15.2 but if you round to a whole number it would just be 15 lol.

Answer:

15cm

Step-by-step explanation:

Answer:

30 cmcubed

Step-by-step explanation:

hope it helps your friend if I'm wrong tell i will try it out again good day.

6. Factor 4x from 22x2 + 40x 6.​

is that multiply 4x 22x2 +40x6

Answer:

I think that would be 4(71 - ×)

hope the answer can help you.

Answer:

x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

Answer:

arc PST = 254°

Step-by-step explanation:

arc QPT = 180° because it is a diameter

arc PQ = 74°

arc PT = 180° - 74° = 106°

arc PST = 360° - 106° = 254°

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

Answer:

I would think it would be Two acute angles and one right angle.

Step-by-step explanation:

How I would describe the three angles of a triangle is two acute angles and one right angle.

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees.

A right triangle is made up of a right angle and two acute angles. A right angle has a value of 90 degrees and an acute angle has a value that is less than 90 degrees.

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Answer:

volume formula: b*w*h

(base times width times height)

Step-by-step explanation:

here, we can see the base is 2mm, the length is 2mm, and the height is 3mm.

so, if we put them in as the base, width, and height, we get

2*2*3

then, multiply!

2*2*3

= 4*3

= 12

so, the answer is 12 cubed millimeters.

Answer:

-10000000/1 or 10^-7/1

Step-by-step explanation:

You can divide anything by 1 to make a fraction.

Have a nice day!

Answer:

5.49 pounds

Step-by-step explanation:

Given data

Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds

Owen bought 1 1/2 times  or 1.5 times as much as Amir bought

Hence 1.5 time of 3.66

=1.5*3.66

=5.49 pounds in decimal

Given:

Number of red M&Ms = 8

Number of blue M&Ms = 13

Number of brown M&Ms = 4

Number of green M&Ms = 8

An M&M is picked at random from the bag.

To find:

The probability of picking a red M&M.

Solution:

We have,

Number of red M&Ms = 8

Total number of M&Ms [tex]= 8+13+4+8[/tex]

                                       [tex]=33[/tex]

So, probability of picking a red M&M is:

[tex]\text{Probability}=\dfrac{\text{Number of red M&Ms}}{\text{Total number of M&Ms}}[/tex]

[tex]\text{Probability}=\dfrac{8}{33}[/tex]

Therefore, the probability of picking a red M&M is [tex]\dfrac{8}{33}[/tex].

Answer:

Step-by-step explanation:

141

Answer:

7

Step-by-step explanation:

7 times 5 is 25 +3 is 38

The value of x is equal to 7.

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides for a parallelogram are equal and parallel.

Considering that the opposite sides of the  parallelogram (ABCD)  are equal and parallel, so AD=DC.  Therefore,

                                 5x+3=38

                                 5x=38-3

                                 5x=35

                                 x=7

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Answer:

(x, y) = ( 5, 6)

(x, y) = ( - 1, 0)

Step-by-step explanation:

[tex] \begin{cases} y + x^2 - 5x = 6\\\\ y - x = 1\implies y = x + 1\end{cases} [/tex]

Plug [tex] y = x +1 [/tex] in the equation [tex] y + x^2 - 5x = 6[/tex] we find:

[tex] x + 1 + x^2 - 5x = 6[/tex]

[tex] x^2 - 4x - 5=0[/tex]

[tex] x^2 - 5x +x- 5=0[/tex]

[tex] x(x - 5) +1(x- 5)=0[/tex]

[tex] (x - 5) (x+1)=0[/tex]

[tex] (x - 5) =0, \: (x+1)=0[/tex]

[tex] x =5, \: x=-1[/tex]

[tex] When \:x =5 \implies y =5+1=6 [/tex]

(x, y) = ( 5, 6)

[tex] When \:x =-1 \implies y =-1+1=0 [/tex]

(x, y) = ( - 1, 0)

Answer:

69

Step-by-step explanation:

Answer:

9 9 9 9...................

Step-by-step explanation:

i d k if you meant 54 or 5 and 4

Answer:

Step-by-step explanation:

∵A= l×b

⇒A= 4ab^2 × 6a^2b

⇒A= 24a^2b+1×b^2

Explanation: When multiplying indices, add the exponents of similar bases (that is, a^2×a = a^2+a^1 =a³) thus a^2b+1.

I hope this helped.

Answer:

$11.20

Step-by-step explanation:

Answer:

$34.56

Step-by-step explanation:

32x.08=2.56

40x.2=8

40-8=32

32+2.56=34.56

Answer:

125

Step-by-step explanation:

5 x 5 = 25

25 x 5 = 125

Answer:

the value of 5³ is 125 all you have to do is 5×5×5=125