Simplify.(3x^8z^2)^4

When two fair dice are rolled, what is the probability that at least one of the numbers will be even??

netineya [11]

The probability would be 1/4. The probability of rolling an even number on each die is 1/2. Since there are two dice you would multiply the probability of each die together. 1/2*1/2=1/4. The reason you would this is because you could roll two odd numbers that equal an even number such as 3 and 5.

4 0

3 years ago

784x44=? Step by step.

Triss [41]

Answer:

34496

Step-by-step explanation:

i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST

7 0

2 years ago

A soccer field has a perimeter of 326 metres. Its area is 6370 square metres. What are the dimensions of the field?

Burka [1]

Answer:

Step-by-step explanation:

chiều dài:x,x>0

chiều rộ:y

$\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.$

$\left \{ {{x+y=163} \atop {xy=6370}} \right.$

$\left \{ {{y=163-x} \atop {xy=6370}} \right.$

$\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.$

$\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\$

$\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.$

$\left \{ {{y=65} \atop {x=98}} \right.$

4 0

2 years ago

Timed help asap free 30 points after if correct find the value of the polynomial x^2-3xy+1/2 y^2 if x=3,y-2

BARSIC [14]

Answer:

Ans: 29

Step-by-step explanation:

soln:

Given,

x=3 and y=-2

Now,

x^2-3xy+1/2y^2

= 3^2-3×3×(-2) +1/2(-2)^2

= 9+18+4/2

= (18+36+4) /2

= 58/2

= 29 Ans

7 0

3 years ago

1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26

statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

Part A

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

Part B

The graph's function would be in the form of $y=acos(bx+c)+d$ where $a$ is the amplitude, $\frac{2\pi}{b}$ is the period, $-\frac{c}{b}$ is the phase/horizontal shift, and $d$ is the average/midline.

We already know our amplitude of $a=3$ from part A.

Since our period is given to us as 26 seconds, then we can use the equation $\frac{2\pi}{b}=26$ to find $b$ , which happens to be $b=\frac{\pi}{13}$ .

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity $sin(x)=cos(x-\frac{\pi}{2})$ which shifts the cosine graph $\frac{\pi}{2}$ units to the right. This means that $c=-\frac{\pi}{2}$ , making our phase shift $-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5$ , or 6.5 feet to the right

Our average/midline would be $d=12$ as given as the average height by the problem.

Therefore, the function is $f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12$

Part C

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0

2 years ago

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