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ycow [4]
3 years ago
13

Boots: $59.00, discount: 10 percent sales tax 5.5 percent

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:

Total cost of boots = $56.02

Step-by-step explanation:

$59 x 0.90 = $53.10

$53.10 x 1.055 = $56.02

or

59 x 0.10 = 5.9

59 - 5.9 = $53.10

53.10 x 0.055 = $2.92 tax

$53.10 + $2.92 = $56.02

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The answer is B it's ordered from least to greatest
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Which domain of the function y=2^x-6
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The domain is 2x and the range is -6
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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
4 years ago
Solve the inequality for u<br>-5u+27 [less than or equal to] 2​
baherus [9]

Answer:

5≤u

Step-by-step explanation:

Put the words and numbers into an equation:

-5u+27≤2

Put all like terms on one side:

27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)

Simplify:

25≤5u

Solve:

5≤u

:)

6 0
3 years ago
Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commissio
LuckyWell [14K]

Answer:

Step-by-step explanation:

p=number of phones sold

a=number of accessories sold

10p+4a=126

c=7+a

4 0
4 years ago
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