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A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in.

The prism is filled with cubes that have edge lengths of 1/2 in.

How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism, [ ] cubes are needed.

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

Answer:

Airplane goes 550 mph

Bike goes 9 mph

Ship goes 27 mph

Step-by-step explanation:

The airplane goes 1,925 every 3.5 hours

Divide 1925 by 3.5

1925/3.5 = 550mph

Do the same thing with the bike’s numbers:

45/5 = 9

So 9mph

And again with the ship:

432/16 = 27

It also says its three times as fast as the bike so:

9 x 3 = 27

So the ship goes 27 mph

hope this helps:

x is 10 degrees...

Answer:

Unitary cost= $1.75

Step-by-step explanation:

Giving the following information:

He spent $21 on 12 single-scoop ice cream cones.

To calculate the unitary cost, we need to use the following formula:

Total cost= number of units*unitary cost

Unitary cost= total cost / number of units

Unitary cost= 21 / 12

Unitary cost= $1.75

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

Read more about Inequality at; https://brainly.com/question/25275758

#SPJ6

Answer:

y=12.25x

i cannot see the question but the slope will be the increase of the certain product

the y is the dependent factor that will increase due to the slope/x-intercept

Step-by-step explanation:

Answer:

x =  47 degrees.

Step-by-step explanation:

The angles in a triangle add up to 180 degrees, therefore:

x + 43 + 90 = 180

x = 180 - 43 - 90

x = 180 - 133

= 47 degrees.

Answer:

The common difference is 4 or C on your test

Step-by-step explanation:

-17+4= -13

-13+4= -9

And so on...

Answer:

B

Step-by-step explanation:

(r^-7)^6 = r^-42 = 1/r^42

Answer:

23+32−5+12 is the equaequation simplified

Step-by-step explanation:

Answer:

C. y = -3x +6

Step-by-step explanation:

y = mx + b

m= slope = -3

b = y-intercept = 6

y = -3x + 6

Answer: C)5,5,10

Step-by-step explanation:

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

Hope this helps you

Answer:

$2091 (exact answer is $2090.80)

Step-by-step explanation:

2050 × 6.8% = 6.8

So, interest will add an extra $6.80 to his account

6.8 × 6 = 40.8

So, after 6 years, interest will make him an additional $40.80.

Add 40.80 to his original amount of money.

2050 + 40.8 = 2090.80

Round it up to the nearest dollar.

$2091

Answer:

Step-by-step explanation:

p and s was are the speeds of the plane and wind, respectively.

Traveling with the wind, the plane moves p+w miles per hour.

p+w = (1092 miles)/(6 hours) = (182 miles)/hour

Traveling against the wind, the plane moves p-w miles per hour.

p-w = (1092 miles)/(7 hours) = (156 miles)/hour

Add the equations together

p+w = 182

p-w = 156

—————-

2p = 338

p = 169 miles per hour

w = p-156 = 13 miles per hour

Inverse operations to the rescue!

So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4

Answer:

3x^2 - 12x·y^2 - 9y^2·y^4

Step-by-step explanation:

Apply the distributive property of multiplication here.

x times (3x - 3y^2) is 3x^2 - 3x·y^2.

3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.  

Thus, the desired product of the given binomials is the sum of the above results:

3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4

which shortens to   3x^2 - 12x·y^2 - 9y^2·y^4

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 6y = - 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - y = - 2

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for y

Substituting into (1)

x + 2(2) = 3

x + 4 = 3 ( subtract 4 from both sides )

x = - 1

solution is (- 1, 2 )

Answer:

(2,1)

Step-by-step explanation:

A P E X

Answer:

Step-by-step explanation:

-8x + 2y = 4

y = 4x + 2

Put the value of y into the first equation

-8x + 2(4x + 2) = 4                 Remove the brackets

-8x + 8x + 4 = 4                    The 8xs cancel out.

4 = 4                                     But this is useless. There is no single solution

Answer:

y = 3

Step-by-step explanation:

We already know the slope, all we need to do is find the y-intercept.

You have to plug the coordinates into the equation, y = 0x + b

y = 0x + b

3 = 0(-4) +b

3 = 0 + b

3 = b

The equation is y = 3

Answer:

Volume of big cylinder = 1,438.76 cm (Approx.)

Step-by-step explanation:

Given:

Height of smaller cylinder = 3 cm

Height of big cylinder = 6 cm

Volume of smaller cylinder = 30 cm³

Find:

Volume of big cylinder

Computation:

Volume of smaller cylinder = πr²h

(22/7)(r²)(3) = 30

Radius of small cylinder = 1.783 cm (Approx.)

So,

Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)

Volume of big cylinder = πr²h

Volume of big cylinder = (22/7)(3.566)²(6)

Volume of big cylinder = 1,438.76 cm (Approx.)

Answer:

the answer is 9

check the picture for workings

Answer:

A

Step-by-step explanation:

The slope of a vertical line is undefined

The slope of a horizontal line is 0

Answer:

155

Step-by-step explanation:

Step-by-step explanation:

To find the composite function, it says

[tex](f \: o \: g)(x)[/tex]

means we put the function g(x) into f(x) so that means it looks like

[tex]( \sqrt{x}) {}^{2} - 4[/tex]

Which equal

[tex]x - 4[/tex]

So that expression above is the answer.

To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).

The range of a g(x) which is a radical function is all real numbers.

The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.

This means for our function to work we can use any numbers as long as it greater than -4.

So we would represent that as x is all real numbers as long as x is greater than or equal to -4

In interval notation this would be

[-4,+ infintiy)

Answer:

$6200

Step-by-step explanation:

Given data

Rate= 4%

Principal=$5000

Time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=5000(1+0.04*6)

A= 5000(1+0.24)

A=5000*1.24

A=$6200