Find the
volumes of the two rectangular prisms
described in the table. If you divide
each dimension of the larger prism
by 2, how does the new volume
compare to its original volume?
Explain.
​

Answer:

12 minut 15 seconds

Step-by-step explanation:

51 minutes= 51*60=3060 seconds

3060 second :4 miles=765 seconds

Harold walked 1 miles in 12 minut 15 second

Answer:

7680

Step-by-step explanation:

16(24)20

7680

V = 2,560 m^3

Step-by-step explanation:

The formula for the volume of a pyramid is...

[tex]V=\frac{1}{3}Bh[/tex]

B is the area of the base, which in this case is a rectangle. We need to find the area of the rectangle to plug in for B.

The formula for the area of a rectangle is...

[tex]l*w[/tex]

We can plug in the numbers.

[tex]16*24[/tex]

= 384

Now that we have B, we can plug that into the volume formula along with the height.

[tex]V=\frac{1}{3}(384*20)[/tex]

[tex]V=\frac{1}{3}*7,680[/tex]

V = 2,560 m^3

If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have

-2 = 2(cos 180º + i sin 180º)

Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,

[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]

so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.

On the other hand,

[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]

so the third option is a cube root of -2.

Answer:

roy is in the same quadrant

Step-by-step explanation:

↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵

Answer:

roy

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

the 5 is the total number of times he tried

the 1 is how many times he rolled a 1

Answer:

Step-by-step explanation:

5^5/5^4 = 5^(5-4) = 5

5^8 * 5 * 5^3 = 5^(8+1+3) = 5^12

Answer:

b

Step-by-step explanation:

Answer:

1 is the out lier

Step-by-step explanation:

if you put them in order: 1, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9

They are in order exept for the one.

Answer:

Step-by-step explanation:

You read a graph from left to right, just like you would read words on a page in a book.  At the left-most "side" of this graph, we are way up at positive infinity.  As we move from left to right, the graph begins to drop in y values.  A drop in y values indicates a decreasing graph.  So it's decreasing, we have that part.  As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity.  As the graph decreases in y values from left to right, the x values increase into positive infinity.  So your choice is the second one: The function is decreasing on the interval (-∞, ∞).

Answer:

It's B

Step-by-step explanation:

Answer: [tex]176units^3[/tex]

Step-by-step explanation:

We have a composite figure. Find the volume of each figure individually and then add them.

Cube.

[tex]V=a^3\\V=(4units)^3\\V=64units^3[/tex]

Rectangular prism.

[tex]V=w*h*l\\V=(4units)(4units)(7units)\\V=112units^3[/tex]

-----------------------------------------------------

[tex]112units^3+64units^3=176units^3[/tex]

The volume of the figure is 176 cubic units.

The volume of a cube is given by;

[tex]\rm Volume \ of \ cube =a^3\\\\[/tex]

The volume of the figure above if a = 4 units and b = 7 units.

The volume of a cube is;

[tex]\rm Volume \ of \ cube =a^3\\\\ \rm Volume \ of \ cube =4^3\\\\ \rm Volume \ of \ cube =64[/tex]

The volume of a rectangular prism is;

[tex]\rm Volume \ of \ prism =Length \times width \times height \\\\Volume \ of \ prism =4\times 4\times 7\\\\Volume \ of \ prism= 112[/tex]

The volume of the figure = Volume of cube + Volume of a rectangular prism

The volume of the figure = 64 + 112

The volume of the figure = 176

Hence, the volume of the figure is 176 cubic units.

Learn more about volume here;

https://brainly.com/question/13338592

#SPJ2

Answer:

971 km/h

Step-by-step explanation:

The length of a planet's orbit around a star is approximately 16,540,000 km and it takes the planet about 710 Earth days to complete a full orbit.

Average speed is given as total distance traveled divided by time taken. That is:

S = D / t

Where t is in hours.

We have to convert 710 days to hours:

1 day = 24 hrs

710 days = 710 * 24 = 17040 hours

Therefore, the planet's speed is:

S = 16540000 / 17040 = 971 km/h (to 3 sf)

Answer:

.000645

Step-by-step explanation:

.0006.45

move the decimal place 4 places to the Left because it is a negative.  

Answer:

Bro write the question better

Step-by-step explanation:

Answer:

4: <5= 115°

5: <2= 115°

6: <6= 115°

10: <1= 30°

11: <4= 30°

12: <6= 150°

Step-by-step explanation: Hope this helped

Simulate randomly planting 25 seeds using the randomly generated numbers  7 seeds for white flowers are planted.

To simulate randomly planting seeds using the given digits, we need to count the number of occurrences of digits 1, 2, 3, and 4 in the sequence. Each occurrence of digits 1 or 2 represents planting a seed for a white flower.

Let's count the occurrences:

19862: 1 white seed (digit 2)

28864: 2 white seeds (digits 2 and 4)

96403: 1 white seed (digit 3)

88695: 1 white seed (digit 4)

87816: 2 white seeds (digits 2 and 1)

Total white seeds: 1 + 2 + 1 + 1 + 2 = 7

Therefore, out of the 25 randomly planted seeds, 7 are for white flowers.

To know more about simulate visit: https://brainly.com/question/16670333

Answer:

First one

Step-by-step explanation:

Variable b is 7 more than variable c:

b = c + 7

Variable b is also 1 less than variable c:

b = c - 1

Answer:

B:

b = c + 7

b = c - 1

Step-by-step explanation:

"Variable b is 7 more than variable c" can be expressed mathematically as

b = c + 7

"Variable b is 1 less than variable c" can be expressed mathematically as

b = c - 1

So the second pair,

b = c + 7

b = c - 1

best models the relationship between b and c

Hope this Helps :)

Answer:

use ur brain

Step-by-step explanation:

ask ur teacher if the be bad teacher google it

Answer:

Slope = 1/2

Whole equation: y = 1/2x - 2

Step-by-step explanation:

Equation: y = mx + b

(3 , 4) and (0 , -2)

[tex]\frac{0 - 3}{-2 - 4} = \frac{-3}{-6} = \frac{1}{2}[/tex]

y = 1/2x + b

---------------------------------------------------------------------------------------------

-2 = 1/2(0) + b

-2 = b

Answer:

Your answer would be B. [tex]30[/tex]%

Step-by-step explanation:

To figure out the decrease, you would first subtract the two numbers.

[tex]1053 - 737.1 = 315.9[/tex]

Next, you would multiply the number by [tex]1053[/tex].

[tex]\frac{315.9}{1053} = .3[/tex]

Then, you would multiply that by [tex]100[/tex].

[tex].3 * 100 = 30[/tex]

The answer would be [tex]30[/tex]%.

[tex]1053 * .3 = 315.9[/tex]

[tex]1053-315.9 = 737.1[/tex]

Answer:23

Step-by-step explanation:

Literally just division

Answer:

23

Step-by-step explanation:

345\15=23

Answer:

Step-by-step explanation:

We are given a 30-60-90 triangle, where the length of the hypotenuse is 10 units. We are to find the length of sides s and q. Therefore, s = 5 units and q = 5√3 units. In the given 30-60-90 triangle, side s has a length of 5 units and side q has a length of 5√3 units.

Answer:

Try to use your calculator and just substitute values

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

A=33

2a2=3·3

2·42≈41.56922

Answer:

42

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

f(5)=3(5)+2. f(5)=17

Answer:

Step-by-step explanation:

f(x) =3x^2 + 2x - 1

what is f(5)

f(5) = 3(5)² + 2(5) - 1

f(5) = 75 + 10 - 1

f(5) = 84

Answer:

f(x) will be 11

Step-by-step explanation:

since the first 1 is (0,5) the (0,8) so +3 so next would be 11

Answer:

5(8/5)^x

Step-by-step explanation:

Answer: the answer is 2/5 :)

The experimental probability is the probability that an event will occur based on something you found, in an experiment, etc. In this problem, you found that out of 50 times, you got tails 20 times. Therefore, the experimental probability would be 20/50, or 2/5 = 0.40 simplified.

Hope this helps! :)

Answer:

16

Step-by-step explanation:

y= .5x+3

10=.5x+2

As both of the values are equal to each other.

A square root of a number is a value that, when multiplied by itself, gives the number.

Here, given that,

6^(1/2) and √6

Now, we know that both have same value.

6^(1/2)=√6 ≈2.45

Hence, they are equal.

To learn more on square root click:

brainly.com/question/29286039

#SPJ2