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miskamm [114]
3 years ago
14

What is the approximate area of the shaded region?

Mathematics
1 answer:
V125BC [204]3 years ago
3 0
B 9.13sq ft i hope this helps.
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Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul
kondaur [170]

Answer:

Calculators from the beginning of the third week to the end of the fourth week = 4048.

Step-by-step explanation:

We know that the rate of production of these calculators after t weeks is given by

\frac{dx}{dt} =5000(1-\frac{100}{(t+10)^{2}})

To find the number of calculators that have been produced in a period, we need to take the integral of the function above; the desired time is t=2 (beginning of third week) to t=4 (end of the fourth week). Therefore, the number of calculators produced in the given time is

\int\limits^4_2 {\frac{dx}{dt} } \, dt = \int\limits^4_2 {5000(1-\frac{100}{(t+10)^{2} }) } \, dt

Substitute t+10=u and dt=du, observe that the limits of integration will change

\int\limits^4_2 {\frac{dx}{dt} } \, dt => \int\limits^{14}_{12} {\frac{du}{dt} } \, dt

5000\int\limits^{14}_{12} { 1-\frac{100}{u^{2} } } \, du

5000(u+100u^{-1})\left \{ {{14} \atop {12}}\right.\\5000(2+\frac{100}{14}-\frac{100}{12} )\\4047.62 ≈ 4048

4 0
3 years ago
Need help with simplifying expressions
Ilia_Sergeevich [38]

Answer:

A) -20

Step-by-step explanation:

distribute the 4y and the -4 to the parentheses

16y^2 -16y+16y-20-16y^2

combine like terms

16y^2-16y^2=0

-16y+16y=0

-20

Mark brainliest??

3 0
3 years ago
Read 2 more answers
Combine the terms .-5y^2+5-4-4y^2+5y^2-4x^3-1
Lisa [10]

Answer:

-4x^3 - 4y^2

Step-by-step explanation:

-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1

= -4x^3 -4y^2

8 0
3 years ago
Need Help, thanks:)<br><br> Please help
just olya [345]
It's answer c for sure
4 0
3 years ago
Read 2 more answers
Missy has 4 times as many trading cards as her friends Ashe and Caleb combined. Ashe
diamong [38]

Answer:

22

Step-by-step explanation:

Missy has 156 cards in total. Since we know she has 4 times as many as them, we divide 156 by 4

156/4= 39

Ashe has 17 cards and we still don't know how many Caleb has. Since we know that they have 39 cards together, we need to subtract Ashe's cards to find how many Caleb has

39-17=22

Let's check our work

Caleb has 22 cards

Ashe has 17 cards

Together they have 39

Which is 4 times less than how many cards Missy has

Missy has 156 cards

We are correct!

5 0
3 years ago
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