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hichkok12 [17]
3 years ago
14

Find the volume. Round to the nearest tenth if necessary.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

1,440

Step-by-step explanation:

When you find the volume, you have to multiply all the numbers.

So in this case:

10*12*12 = 1,440

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Find the solutions to 6x^2- 54x = 0
Nina [5.8K]

Answer:      

A. x = 9

D. x = 0

Step-by-step explanation:

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have            

6x^{2} -54x=0              

so

a=6\\b=-54\\c=0

substitute in the formula

x=\frac{-(-54)(+/-)\sqrt{-54^{2}-4(6)(0)}} {2(6)}

x=\frac{54(+/-)54} {12}

x=\frac{54(+)54} {12}=9              

x=\frac{54(-)54} {12}=0          

therefore

The solutions are x=0 and x=9

4 0
3 years ago
PLEASE HELP ME
madam [21]

Answer:

thursday, Tuesday, monday, Wednesday

3 0
2 years ago
a red car is traveling 15 miles per hour faster than a blue car. if the red car travels 180 miles in the time needed for the blu
vlabodo [156]
Their distance differs by 15 miles for each hour of travel time. Thus, the travel time of interest is
.. (180 -144) miles/(15 miles/hour) = 2.4 hour

The red car's speed is 180 mi/(2.4 h) = 75 mi/h.
The blue car's speed is 144 mi/(2.4 h) = 60 mi/h.
5 0
2 years ago
3
solong [7]

Answer:0.2 gallons and 1.6 pints

Step-by-step explanation:

1 gallon = 8 pint

1 gallon / 5=0.2 gallon

8 pint / 5=1.6 pint

6 0
1 year ago
can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: a*r^{n-1}. The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = a*r^{n-1}, we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: k * 0.75^{n-1}. This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \frac{a(1 - r^{n})}{1-r}, provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft

6 0
2 years ago
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