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In-s [12.5K]
2 years ago
8

7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 thro

ugh 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?​
Mathematics
1 answer:
Marizza181 [45]2 years ago
8 0

Answer:

Less than two would be one.  Since there is only one of that, it would be 1/6th or 0.6666

Step-by-step explanation:

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The volume of a rectangular prism with a square base is fixed at 120 cubic feet.
Ymorist [56]

Answer:

<u>The correct answer is C.  A(x) = 480/x +2x²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Volume of a rectangular prism with square base = 120 cubic feet

Side of the square base = x

Height of the prism = h

2. Write the surface area of the prism as a function A(x) of the length of the side of the square x.

Let's find out A(x) this way:

Volume of a rectangular prism with square base = 120 cubic feet

x² * h = 120

h = 120/x²

Now, let's substitute h in the surface area formula, this way:

Surface area = 2 * side of the square base² + 4 * side of the square base * height

A(x) = 2x² + 4x * 120/x² (Recall 120/x² = h and side of the square = x)

A(x) = 2x² + 480x/x²

<u>A(x) = 2x² + 480/x </u>

<u>The correct answer is C.  A(x) = 480/x +2x²</u>

7 0
4 years ago
Please help me it’s due at 5
Galina-37 [17]

Answer:

Emi o di un gruppo che ha visto

8 0
3 years ago
Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)
Citrus2011 [14]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u>

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

{x}^{2}  - xy +  {y}^{2}  = 7

introduce dy/dx :

\frac{d}{dx} ( {x}^{2}  - xy +  {y}^{2} ) =  \frac{d}{dx} (7) \\  \\ 2x - (y +  \frac{dy}{dx} ) + 2y \frac{dy}{dx}  = 0

make dy/dx the subject:

2x - y -  \frac{dy}{dx}  + 2y \frac{dy}{dx}  = 0 \\  \\ 2y \frac{dy}{dx}  -  \frac{dy}{dx}  = y - 2x \\  \\  \frac{dy}{dx} (2y - 1) = y - 2x \\  \\  \frac{dy}{dx}  =  \frac{y - 2x}{2y - 1}

At point (-1, 2):

\frac{dy}{dx}  =  \frac{2 - 2( - 1)}{2(2) - 1}  \\  \\ slope =  \frac{4}{3}

but a tangent has the same slope as the curve:

y = mx + c

m is the slope

c is the y-intercept

At (-1, 2):

2 = ( - 1 \times  \frac{4}{3} ) + c \\  \\ c = 2 +  \frac{4}{3}  \\  \\ c =  \frac{10}{3}

equation:

y =  \frac{4}{3} x +  \frac{10}{3}  \\  \\ { \boxed{3y = 4x + 10}}

8 0
3 years ago
Read 2 more answers
Four friends analyzed the system of equations 6y=(2/3) x+5 and 6y−(1/2)x=5. Remy, Viola, Burke, and Florence each reached a diff
Finger [1]

sup. hope that helps!!!

7 0
4 years ago
Suppose that a fish swam 10.5 kilometers in 3 hours at a constant speed. At this​ rate, how long will it take the to swim 28 ​ki
irga5000 [103]

Answer:

8 hours

Step-by-step explanation:

10.5km/3 = 3.5km/h

28km/3.5 = 8 hours

5 0
3 years ago
Read 2 more answers
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