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Helen [10]
3 years ago
15

Harley bought some fabric for $3.50 per yard. If she bought 3 yards, how much did the fabric cost

Mathematics
1 answer:
Verizon [17]3 years ago
4 0
$3.50 X 3 yards = $10.5
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PLEASE ANSWER THIS IS THE THIRD TIME IVE POSTED THIS
zhannawk [14.2K]
I believe the answer is:

1 13889/25000

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7 0
3 years ago
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1
belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            F(x) = \int\limits^a_b {f(x)} \, dx

By using integration formula

\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 \int\limits^6_^-6} (x^{5}  + 8 x^{4}  + 2 x^{2}  + 5 x + 15) )dx

<em>On integration , we get</em>

=   (\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}

F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)

= (\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))

After simplification and cancellation we get

 =  \frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6

on calculation , we get

= \frac{124,416}{5} + \frac{864}{3} + 180

On L.C.M  15

= \frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0
2 years ago
Solve:<br> X + y = 4<br> -5x - 6y = -18
LiRa [457]

Answer: x = -5, y = 9

Step-by-step explanation:

The solution to the system of equations can be represented as a point.

4 0
3 years ago
Read 2 more answers
11. Robert photographs a lush forest of sea fans after diving 40 feet in the Reefs of
hichkok12 [17]
Sea level is 0

robert dives 40 ft.....-40
he then rises 23 ft.....-40 + 23 = -17
he then dives 19 ft to meet Sam....-17 - 19 = -36
together they rise 31 ft...-36 + 31 = - 5

they are 5 ft below sea level <==
8 0
3 years ago
Layla lives in Colorado and works as a teacher earning $55,000 a year. Her brother A.J. lives in Nevada and works as a teacher,
likoan [24]

Answer:

<u>Because Nevada is one of the seven states where residents no pay income tax, no matter how much you make. This decision is compensated with a higher-than-average sales tax.</u>

Step-by-step explanation:

1. Let's check the information provided to us to answer the question correctly:

Layla annual earnings = US$ 55,000

A.J. annual earnings = US$ 55,000

Income tax rate paid by Layla = 4.63%

Income tax rate paid by A.J. = 0%

2. Colorado uses these taxes to pay for public services such as school, police, and sanitation. A.J. pays 0 percent of his yearly income to the state of Nevada in income taxes. Yet his town has schools, police, and sanitation services. Why does this happen?

Because Nevada is one of the seven states where residents no pay income tax, no matter how much you make. This decision is compensated with a higher-than-average sales tax.

7 0
3 years ago
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