How many 2cm×2cm cubes can be packed in a box 1m long,20cm wide and 4cm deep.​

Answers

Answer 1

Answer:

1000

Step-by-step explanation:

I guess, something went wrong with the text up there.

I assume it should say 2cm×2cm×2cm cubes. right ? because a cube has 3 dimensions, not just 2.

otherwise an infinitely large number of "just squares" would fit into the box ...

so, the box is

1m×20cm×4cm = 100cm×20cm×4cm = 8000 cm³

a single cube would be

2cm×2cm×2cm = 8 cm³

therefore,

8000 / 8 = 1000 cubes can be packed into that box, since the dimensions of the box in relation to the dimensions of the cubes do not force to have some empty left over space. the box can be packed tightly.


Related Questions

I need to know the answer please

Answers

Focusing on the center point of f(x) (0,0), we can see that it has moved to the left 4 units and up 3 units.

g(x) = [tex](\sqrt[3]{x + 4}) + 3[/tex]

Option C

Hope this helps!

Oscar has 1/5 of a jar of mustard. He puts equal amounts of the mustard onto 7 sandwiches and uses all of the mustard. What fraction of a jar of mustard does each sandwich have?

Answers

Answer:

1/35 jar of mustard yuh yuh

Will give brainliest answer

Answers

It is A) Tamara’s work is correct

When graphed you can see that the function is even

Find TAN
Instructions: Find the value of the trigonometric ratio. Make
sure to simplify the fraction if needed.

Answers

tan Z =opposite/adjacenttan Z=50/14tan Z=25/7

please mark this answer as brainlist

Which of the following can be used as "reasons" in a two-column proof?

Answers

Answer:

A definition and a theorem can be used as a reason in a two-column proof. A two column proof is assembled into statement and reason columns, where each statement should have verified reason.

Step-by-step explanation:

Answer:

Definitions and algebraic properties

Step-by-step explanation:

The number of patients treated at Dr. Frank's dentist office each day was recorded for nine days: 18, 19, 19, 4, 14, 8, 22, 3, 1. Using the given data, find the mean for this sample.

Answers

Answer:

12

Step-by-step explanation:

To find the mean, add up all the numbers

18+ 19+ 19+ 4+14+ 8+ 22+ 3+ 1

108

Then divide by the number of terms

108/9 =

12

18+19+19+4+14+8+22+3+1 = 108
108 divided by 9 is 12
your mean is 12

Help me with this question plz

Answers

9514 1404 393

Answer:

  17

Step-by-step explanation:

The points at the ends of the interval are ...

  (0, f(0)) = (0, 0)

  (7, f(7)) = (7, 119)

The average rate of change is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (119 -0)/(7 -0) = 119/7 = 17

Help me out!! Anyone

Answers

Answer:

4:10

Step-by-step explanation:

if they have to wait for plane B and it arrives every 10 mins then 4:10 is the anser

Been stuck on this since yesterday !!?!?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have uploaded a graph for you. The x axis is the number of years. The y axis is the salary multiplied by 1000. I should have made the multiplication factor 10000 but 1000 will do.

The 5 given points are plotted in red. The blue line is the function.

The function is y = 5x + 35. That means for every year you add 5 times the year onto the salary.

No years is 35000

1 year is 1 * 5000 + 35000

2 years is 2 * 5000 + 35000 = 45000

6 years is 5 * 5000 * 35000 = 65000

and so on.

The point you want is x = 12

12 years is 12 * 5000 + 35000 = 95000

Forgot the graph

4
5
7
11
19
?

a. 41
b. 35
c. 23
d. 29

Answers

Answer:

35

Step-by-step explanation:

The pattern is adding powers of 2.

4+1=5 (exception)

5+2=7

7+4=11

11+8=19

19+16=35

Answer:

35

Step-by-step explanation:

4 + 1 = 5

5 + (1 × 2) = 5 +2 =7

7 + (2×2) = 7 + 4 = 11

11 +(4×2) = 11 + 8 = 19

19 + (8×2) = 19 + 16 = 35

A triangle has base of 7 1/8 feet and height 6 1/4 feet. Find the area of a triangle as a mixed number.

Answers

Answer: The area is 22 17/64.

Step-by-step explanation:

base = 7 1/8 = 57/8

height = 6 1/4 = 25/4

area = 1/2*b*h

= 1/2*57/8*25/4

= 1425/64

= 22 17/64

Is u=−12 a solution of 8u−1=6u?

Answers

Answer:

No, -12 is not a solution.

Step-by-step explanation:

8u-1=6u

8(-12)-1=6(-12)

-96-1=-72

-97=-72

Untrue, to it’s not a solution

Evaluate the expression (2²x² over xy³ )² for x = 4 and y == 2.​

Answers

Answer:

4

Step-by-step explanation:

X+y=11
Graphing which function

Answers

Answer:

Step-by-step explanation:

slopee -1

y-intercept (0,11)

 x   y

0    11

1     10

State the domain and range of the following function:
{(- 3,4), (0,6), (2, - 2), (1, – 3), (6, - 7), (3, 2)}

Answers

Answer:

[tex]Domain = \{-3,0,2,1,6,3\}[/tex]

[tex]Range = \{4,6,-2,-3,-7,2\}[/tex]

Step-by-step explanation:

Given

[tex]\{(- 3,4), (0,6), (2, - 2), (1, - 3), (6, - 7), (3, 2)\}[/tex]

Required

The domain and range

A function is represented as:

[tex]Function = \{(x_1,y_1),(x_2,y_2),....(x_n,y_n)\}[/tex]

Where

[tex]x \to[/tex] domain

[tex]y \to[/tex] range

So, we have:

[tex]Domain = \{-3,0,2,1,6,3\}[/tex]

[tex]Range = \{4,6,-2,-3,-7,2\}[/tex]

Solve the following formula for a.

Answers

Answer:

B is correct .trust me

Step-by-step explanation:

Steve thinks he can drive legally 30 minutes after he drinks 5 beers. The legal limit is BAC = 0.08. Give a 90% prediction interval for Steve’s BAC. Can he be confident he won’t be arrested if he drives and is stopped?

Answers

Answer: Hello your question has some missing data attached below is the missing data

How well does the number of beers a student drinks predict his or her blood alcohol content (BAC)? Sixteen student volunteers at Ohio State University drank a randomly assigned number of 12-ounce cans of beer. Thirty minutes later, a police officer measured their BAC. Here are the data. The students were equally divided between men and women and differed in weight and usual drinking habits. Because of this variation, many students don’t believe that number of drinks predicts BAC well.

answer:

prediction  interval : (0.040 , 0.114)

Step-by-step explanation:

Given data:

Confidence level = 90%

Legal limit ( BAC ) = 0.08

solution

sample size = 16

Degree of freedom ( df ) = 14

critical t value =  1.761

X =  4.81

Σ(x-x)² (Sx) =  72.44

also standard error of estimates = 0.0204

Y=  -0.01270  +  0.01796 * 5 = 0.077

given that ; the predicted value of Y at x = 5

Considering individual response Y

standard error = 0.0211

margin of error = 1.761 * 0.021 = 0.0371

Hence the limits of the prediction interval is :

Lower limit  = 0.077 - 0.037 = 0.040.

Upper limit = 0.077 + 0.037 = 0.114

Finally

90% prediction interval  =  (0.040 , 0.114)

What is the area of the right triangle with sides 10,26 and 24

Answers

Answer:

Area = 120

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 (10)(24)

Area = 1/2 (240)

Area = 120

The area of the right triangle is 120

Answer:

[tex]\boxed {\boxed {\sf 120 \ units^2}}[/tex]

Step-by-step explanation:

We are asked to find the area of a triangle. The formula for calculating this is:

[tex]a= \frac{1}{2} bh[/tex]

This is a right triangle, so the base and height are the legs of the triangle. The 2 smallest sides are the legs because the longest side is the hypotenuse. Since the side lengths are 10, 26, and 24, the base and height must be 10 units and 24 units.

b= 10 unitsh= 24 units

Substitute these values into the formula.

[tex]a= \frac{ 1}{2} ( 10 \ units)(24 \ units)[/tex]

Multiply the numbers in parentheses.

[tex]a= \frac{1}{2}(240 \ units^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]a= 120 \ units^2[/tex]

The area of the triangle is 120 units squared.

HELPSSS PLSSSS I need help!!

Answers

Step-by-step explanation:

The perimeter of the rectangle is

[tex]P = 2(4x + 2x) = 12x[/tex]

The perimeter of the octagon is

[tex]P = 8(1.5x) = 12x[/tex]

So for x = 1, the perimeter of the rectangle, as well as the octagon, is 12 cm. For x = 2, its 24 cm. For x = 3, it's 36 and so on. So the pattern here is with each integer increase in x, the perimeter increases by 12 cm. Also that the perimeters of both shapes are equal.

Triangle DEF has sides of length x, x+3, and x−1. What are all the possible types of DEF?

Answers

Triangle DEF is scalene

Must click thanks and mark brainliest

The triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.

What is a scalene triangle?

A scalene triangle is a type of triangle which have all the sides to be unequal and similarly, all the angles will also be unequal to each other.

Given that:-

Triangle DEF has sides of length x, x+3, and x−1

it is given that all the sides of the triangle are x, x+3, and x−1 we can clearly see that for any value of x all the three sides will have different values. we can conclude from this that the triangle DEF is a scalene triangle.

Therefore triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.

To know more about the scalene triangle follow

https://brainly.com/question/16589630

#SPJ2

find the maximum number of children to whom 30 sweaters and 45 trousers can be equally divided. also how many sweaters and trousers will each get?​

Answers

Answer:

five kids .each 6 sweaters and 9 trousers

Step-by-step explanation:

f

Hãy tìm hàm gốc f(t) có hàm ảnh Laplace như dưới đây:
F(p)=6/p(2p^2+4p +10)

Answers

It looks like we're given the Laplace transform of f(t),

[tex]F(p) = L_p\left\{f(t)\right\} = \dfrac6{p(2p^2+4p+10)} = \dfrac3{p(p^2+2p+5)}[/tex]

Start by splitting up F(p) into partial fractions:

[tex]\dfrac3{p(p^2+2p+5)} = \dfrac ap + \dfrac{bp+c}{p^2+2p+5} \\\\ 3 = a(p^2+2p+5) + (bp+c)p \\\\ 3 = (a+b)p^2 + (2a+c)p + 5a \\\\ \implies \begin{cases}a+b=0 \\ 2a+c=0 \\ 5a=3\end{cases} \implies a=\dfrac35,b=-\dfrac35, c=-\dfrac65[/tex]

[tex]F(p) = \dfrac3{5p} - \dfrac{3p+6}{5(p^2+2p+5)}[/tex]

Complete the square in the denominator,

[tex]p^2+2p+5 = p^2+2p+1+4 = (p+1)^2+4[/tex]

and rewrite the numerator in terms of p + 1,

[tex]3p+6 = 3(p+1) + 3[/tex]

Then splitting up the second term gives

[tex]F(p) = \dfrac3{5p} - \dfrac{3(p+1)}{5((p+1)^2+4)} - \dfrac3{5((p+1)^2+4)}[/tex]

Now take the inverse transform:

[tex]L^{-1}_t\left\{F(p)\right\} = \dfrac35 L^{-1}_t\left\{\dfrac1p\right\} - \dfrac35 L^{-1}_t\left\{\dfrac{p+1}{(p+1)^2+2^2}\right\} - \dfrac3{5\times2} L^{-1}_t\left\{\dfrac2{(p+1)^2+2^2}\right\} \\\\ L^{-1}_t\left\{F(p)\right\} = \dfrac35 - \dfrac35 e^{-t} L^{-1}_t\left\{\dfrac p{p^2+2^2}\right\} - \dfrac3{10} e^{-t} L^{-1}_t\left\{\dfrac2{p^2+2^2}\right\} \\\\ \implies \boxed{f(t) = \dfrac35 - \dfrac35 e^{-t} \cos(2t) - \dfrac3{10} e^{-t} \sin(2t)}[/tex]

Indigo Company had cash sales of $78,120 (including taxes) for the month of June. Sales are subject to 8.5% sales tax. how to record the sale ?

Answers

Answer:

Step-by-step explanation:

Sales revenue x (100%+sales tax rate) = total sales including tax

sales revenue x 1.085 (100% + 8.5%) = 78120

sales revenue = 78120/1.085

sales revenue = 72000

total sales including tax - sales revenue = sales tax

78120 = 72000 = 6120

Journal entry:

cash.      78120

  Sales revenue.     72000

  Sales tax payable.  6120

Solve for x: 2x – 1] + 5 < 13 please send help

Answers

Answer:

Step-by-step explanation:

2|x-1|+5 < 13

2|x-1| < 8

|x-1| < 4

-4 < x-1 < 4

-3 < x < 5

What is the measure of m?

Answers

Answer:

√245

Step-by-step explanation:

altitude on hypotenuse theorem:

m^2=7*35

m^2=245

m=√245

What is the volume of a cone below?

Answers

The answer is 33pi ^3
3
Sorry not sure
Hope its help for your questions

plot the following points on a xy-plane.
(5,2) , (-2, 1) , (-1,-3)

Answers

Answer: See below

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

Given FE=23.5, find BD.

Answers

Answer:

11.75

Step-by-step explanation:

The required triangle is attached below :

The triangle AFE has it's by the mid segment as BD ;as B is the mid-point of line EA ; and D is the mid-point of line FA ;

HENCE, The Length of the midsegment BD = 1/2FE

Hence, BD =. 1/2 * 23.5

BD = 23.5 / 2 = 11.75

The solution of the equation 2x - 7 = 3x - 12 is _____ Since it checks in the original equation, it is also a solution of
StartRoot 2x-7 EndRoot - StartRoot 3x - 12 EndRoot = 0.

Answers

Answer:

5

Step-by-step explanation:

2x-7=3x-12

2x-3x=-12+7

-x=-5

x=5

[tex] \sqrt{2x - 7} - \sqrt{3x - 12 } = 0 \\ \sqrt{10 - 7} - \sqrt{15 - 12} = 0 \\ \sqrt{3} - \sqrt{3} = 0[/tex]

The number of perpendicular bisectors a segment can have is:
1 point
a) 0
b) 1
c) 3
d) 10​

Answers

Answer:

0

Step-by-step explanation:

0co

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