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bazaltina [42]
3 years ago
14

What’s the answer??!?

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

See answers below.

Step-by-step explanation:

For formula to find the volume of rectangular prism is given below:

Volume\:=\:whl

11. Putting the given values, we have:

200=\left(2\frac{1}{2}\right)\left(h\right)\left(8\right)\\\\h=10

12.\:\:Volume=\left(8\frac{1}{2}\right)\left(4\right)\left(11\right)\\\\Volume = 374

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Can you solve this for me please?
pashok25 [27]

Answer:

Exact Form: x= -2/3

Decimal Form: x= -0.6

6 0
3 years ago
Find the length of the following​ two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16
andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)}     dt

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)}     dt

Doing the operations inside of the brackets the derivatives are:

1 ) (\frac{d((1/2)t^2)}{dt} )^2= t^2

2) \frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1

Entering these values of the integral is

r(t)= \int\limits^{16}_{0}  \sqrt{t^2 +2t+1}     dt

It is possible to factorize the quadratic function and the integral can reduced as,

r(t)= \int\limits^{16}_{0} (t+1)  dt= \frac{t^2}{2} + t

Thus, evaluate from 0 to 16

\frac{16^2}{2} + 16

The value is r= 144 units

5 0
3 years ago
Is -6.5 a rational number.<br><br> pls idk and I really need help
lara [203]

Answer:

-6.5 is a rational number.

7 0
2 years ago
Read 2 more answers
10. Use the data to determine the missing values in the five-number summary.
exis [7]

Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

7 0
3 years ago
») Noah finds 14 caterpillars and puts them in 2 cages.
Allisa [31]

Answer:

7 Caterpillars

Step-by-step explanation:

14/2

7 0
3 years ago
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