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3 years ago

Toby found a $52 wallet on tge clearance rack for 60% off. if sales tax is 6.25%, how much will he pay in total

Mathematics

2 answers:

mylen [45]3 years ago

7 0

Answer: Toby will pay $34.45.

Step-by-step explanation:

I did 60% of 52 and the 6.25% of 52 and added my answers together.

user100 [1]3 years ago

5 0

Answer:

$37.45

if you divide $52 of 60%. you'll get 31.2. then, you add 6.25 and the you get $37.45

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find a curve that passes through the point (1,-2 ) and has an arc length on the interval 2 6 given by 1 144 x^-6

taurus [48]

Answer:

$f(x) = \frac{6}{x^2} -8$ or $f(x) = -\frac{6}{x^2} + 4$

Step-by-step explanation:

Given

$(x,y) = (1,-2)$ --- Point

$\int\limits^6_2 {(1 + 144x^{-6})} \, dx$

The arc length of a function on interval [a,b]: $\int\limits^b_a {(1 + f'(x^2))} \, dx$

By comparison:

$f'(x)^2 = 144x^{-6}$

$f'(x)^2 = \frac{144}{x^6}$

Take square root of both sides

$f'(x) =\± \sqrt{\frac{144}{x^6}}$

$f'(x) = \±\frac{12}{x^3}$

Split:

$f'(x) = \frac{12}{x^3}$ or $f'(x) = -\frac{12}{x^3}$

To solve fo f(x), we make use of:

$f(x) = \int {f'(x) } \, dx$

For: $f'(x) = \frac{12}{x^3}$

$f(x) = \int {\frac{12}{x^3} } \, dx$

Integrate:

$f(x) = \frac{12}{2x^2} + c$

$f(x) = \frac{6}{x^2} + c$

We understand that it passes through $(x,y) = (1,-2)$ .

So, we have:

$-2 = \frac{6}{1^2} + c$

$-2 = \frac{6}{1} + c$

$-2 = 6 + c$

Make c the subject

$c = -2-6$

$c = -8$

$f(x) = \frac{6}{x^2} + c$ becomes

$f(x) = \frac{6}{x^2} -8$

For: $f'(x) = -\frac{12}{x^3}$

$f(x) = \int {-\frac{12}{x^3} } \, dx$

Integrate:

$f(x) = -\frac{12}{2x^2} + c$

$f(x) = -\frac{6}{x^2} + c$

We understand that it passes through $(x,y) = (1,-2)$ .

So, we have:

$-2 = -\frac{6}{1^2} + c$

$-2 = -\frac{6}{1} + c$

$-2 = -6 + c$

Make c the subject

$c = -2+6$

$c = 4$

$f(x) = -\frac{6}{x^2} + c$ becomes

$f(x) = -\frac{6}{x^2} + 4$

3 0

3 years ago

Someone help pleaseee

Doss [256]

Answer:

38°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (119 + 23) = missing angle

180 - (142) = missing angle

38 = missing angle

So, the missing angle has a measurement of 38°

5 0

4 years ago

Molly needs to classify the triangle below based on angles. Which class is correct? 60° 50° 70° A. acute triangle О B. isosceles

Art [367]

Answer:

A. Actute triangle

Step-by-step explanation:

Is A because an acute triangle is a triangle where all the angles are the same.

Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.

Can not be C. because equilatiral triangles are triangles with sides that are all the same.

Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.

So it has to be A.

7 0

3 years ago

The LL theorem states that for

Anni [7]

Answer:

<u>right</u> triangles

Step-by-step explanation:

4 0

3 years ago

Please help me answer this question

Drupady [299]

Answer:

64 ft^3

Step-by-step explanation:

Assuming that all of the values (length [l], width [w] and height [h]) are all 4ft then using the calculation l x w x h, we can see that the answer is 64ft^3.

I hope this helps!

[Hey if this is wrong, don't post a rude reply! Message me and I will try to correct the answer!]

4 0

3 years ago