How do you do this !

There are exactly 1,944 of the 12-, or 0.5-, cubes inside a rectangular prism.

drek231 [11]

The volume of the rectangular prism is 3359232 cubic centimeters

<h3>How to determine the volume?</h3>

The length of the cube is given as:

Length, l = 12 cm

The volume of a cube is:

$V = l^3$

So, we have:

$V = 12^3$

Evaluate

V = 1728

The volume of 1944 cubes is then calculated as:

Volume = 1728 * 1944

Evaluate

Volume = 3359232

Hence, the volume of the rectangular prism is 3359232 cubic centimeters

Read more about volumes at:

brainly.com/question/1972490

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<h3>Complete question</h3>

There are exactly 1,944 of the 12 cm, or 0.5 foot cubes inside a rectangular prism. What is the volume of the rectangular prism in cubic centimeters?

7 0

1 year ago

At the product store you can buy four bags of bananas for 2084 how much would it cost if you were to buy 3 bags

Darya [45]

Answer:

1563

Step-by-step explanation:

x= 1 bag of bananas

so, 4x=2084

Divide 2084 by 4 to find how much 1 bag of bananas would cost. 2084/4= 521.

To find how much 3 bags of bananas would cost, multiply 521 (the price of one bag) by 3. 521x3= 1563

3 bags of bananas are $1563

3 0

2 years ago

Three friends are selling items at a bake sale. May makes $23.25 selling bread. Inez sells gift baskets and makes 100 times as m

victus00 [196]

May makes $23.25, Inez makes $2325, and Carolyn makes $232.50

6 0

2 years ago

Read 2 more answers

) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase

xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

$P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}$

$P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]$

$P(x=3)=(4)(0.008)(0.80)=0.0256$

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

$P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}$

$P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]$

$P(x=0)=0.4096$

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0

2 years ago

Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15

RUDIKE [14]

Answer:

The vertex of this parabola, $(-2, 3)$ , can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

$g(x) = a\, (x - h)^2 + k$ ,

where $a$ , $h$ , and $k$ are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at $(h,\, k)$ .

The vertex form can be expanded to obtain:

$\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}$ .

Compare that expression with the given equation of this parabola. The constant term, the coefficient for $x$ , and the coefficient for $x^2$ should all match accordingly. That is:

$\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right.$ .

The first equation implies that $a$ is equal to $3$ . Hence, replace the " $a\!$ " in the second equation with $3\!$ to eliminate $\! a$ :

$(-2\times 3)\, h = 12$ .

$h = -2$ .

Similarly, replace the " $a$ " and the " $h$ " in the third equation with $3$ and $(-2)$ , respectively:

$3 \times (-2)^2 + k = 15$ .

$k = 3$ .

Therefore, $g(x) = 3\, x^2 + 12\, x + 15$ would be equivalent to $g(x) = 3\, (x - (-2))^2 + 3$ . The vertex of this parabola would thus be:

$\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}$ .

8 0

2 years ago