The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.

The lenghts of the sides of a small cube are 1/4 ft each.

Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)​

Answer:

  (a)  (4, -6)

Step-by-step explanation:

Try the values in the inequality and see which gives a true statement.

a) -3(4) +6 ≥ 5(-6)   ⇒   -6 ≥ -30 . . . . true for (4, -6)

b) -3(2) +6 ≥ 5(3)   ⇒   0 ≥ 15 . . . . FALSE for (2, 3)

c) -3(-1) +6 ≥ 5(10)   ⇒   9 ≥ 50 . . . . FALSE for (-1, 10)

d) -3(6) +6 ≥ 5(-2)   ⇒ -12 ≥ -10 . . . . FALSE for (6, -2)

Of course, if you're expecting only one right answer, you can stop after you found it.

Answer:

4/5

Step-by-step explanation:

So sorry if im wrong <3

Answer:

Each person will get 4/5, or 0.8 pounds of nuts.

Step-by-step explanation:

First, we need to convert 7 1/5 into an improper fraction, by multiplying

7 x 5 = 35

and adding

35 + 1 = 36

Our improper fraction is 36/5

Now, we can divide

36 / 9

5 /  1

To do so, we need to switch 9/1 to its reciprocal, 1/9, and then multiply

36 x 1 = 36

5 x 9 = 45

Our answer is 36/45

We can simplify our answer by dividing by 9

36 / 9 = 4

45 / 9 = 5

Our final answer is 4/5, or 0.8 pounds of nuts

Answer:

625

Step-by-step explanation:

625 is the (perfect) square of 25.  The other three numbers are not perfect squares.

b... 625

...............................

The Hectora's rate of work in part per hour is 18 hours

Given the following parameters:

Taking the sum of the reciprocals of the time taken;

1/6 = 1/9 + 1/r

1/r = 1/6 - 1/9

1/r = 9-6/54

1/r = 3/54

Cross multiply

3r = 54

r = 54/3

r = 18 hours

Hence the Hectora's rate of work in part per hour is 18 hours

Learn more about reciprocals here: https://brainly.com/question/2534506

Answer:

Step-by-step explanation:

1/9

Answer:

See image

Step-by-step explanation:

For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)

In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.

Answer:

[tex]y = -2\, x[/tex].

Step-by-step explanation:

Find two points on the original line, [tex]y = 2\, x[/tex]:

Setting [tex]x = 0[/tex] gives [tex]y = 0[/tex], which corresponds to the point [tex](0,\, 0)[/tex].

Setting [tex]x = 1[/tex] gives [tex]y = 2[/tex], which corresponds to the point [tex](1,\, 2)[/tex].

Reflect the two points with respect to the [tex]y[/tex]-axis by inverting the [tex]x[/tex]-coordinate of each point. The point [tex](0,\, 0)[/tex] stays the same, whereas the point [tex](1,\, 2)[/tex] would be mapped to [tex](-1,\, 2)[/tex].

Find the equation of the new line. The slope of the new line would be:

[tex]\begin{aligned}\frac{2 - 0}{(-1) - 0} = \frac{2}{(-1)} = -2\end{aligned}[/tex].

Equation of the new line in point-slope form:

[tex]y - 0 = (-2)\, (x - 0)[/tex].

[tex]y = -2\, x[/tex].

Answer:

its four fifteenths

Step-by-step explanation:

3/5 = 9/15

1/3 = 5/15

9/15 - 5/15 = 4/15

4/15 = four fifteenths

Answer: Look at the explanation

Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.

Congruent figures have the same shape and size.

Similar figures have the same shape but different size.

The 1st figure is not congruent but it is similar.

2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.

3rd figure is both, congruent and similar which are both triangles.

4th figure is neither. There is a circle and an elipse, which are both round but different shapes.

By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.

Hope this helps. Happy learning!

i think the answer is 8

bc the small one is 4 and the big one is 6

and the other one is 6 so it must be 8

Step-by-step explanation:

Total change in number of student = (210 - 168)

=> 42

% change = Change/Original no. of students × 100

=> 42/210 × 100

=> 42/21 × 10

=> 20%

Answer:

12. C

13. A

Step-by-step explanation:

Answer: 0=75degrees

Have a Great Day/Night

Answer:

x

Step-by-step explanation:

equals 4 you can do rest

Answer:

its very simple

answer is 21

Step-by-step explanation:

m=7+14

m= 21

Answer:

. (5,20)

Step-by-step (x,y)=(5,20)

Answer:

which solution are you looking for?

Step-by-step explanation:

Solving for X would be: x<0

Graph inequality would be the left side shaded i think

Answer:

h= (2a)/b

Step-by-step explanation:

solved for equation

Answer:

omg u a real one been lloking for this bing bong

Step-by-step explanation:

Answer:

jjjjStep-by-step explanation:

Answer:

  B

Step-by-step explanation:

The table that represents a function will have no x-values repeated.

  A. 4 is repeated -- not a function

  B. all x-values are unique -- this is a function

  C. 2 is repeated -- not a function

  D. 3 is repeated -- not a function

Answer:

Approximately (2, 1)

See image

Step-by-step explanation:

Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.

Answer: 5/2, 4/3

explanation: got it from a different verified answer

Answer:

Step-by-step explanation:

Answer:

[tex]a_{15}=-268,435,456[/tex]

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

[tex]a_n=a_1x^{n-1}[/tex]

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

[tex]a_n=(-1)(-4)^{n-1}[/tex]

Then, you can solve for the 15th term:

[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

Answer:

Value of [tex]x=30[/tex]

Step-by-step explanation:

When the two lines being crossed are Parallel Lines the Corresponding Angles are equal.

Hence

[tex]x+25=55\\\\x=30[/tex]

Answer:

A

Step-by-step explanation:

The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1

Hope that helps

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The mean of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Then:

[tex]E(X) = np = 200(0.06) = 12[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at https://brainly.com/question/12473640

Answer:

Step-by-step explanation:

slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25