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3 years ago

Please help I can’t understand!!!!!!!

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

We need first to find the capacity of the paint tray

4 cms = 4/2.54 = 1.5748 inches

capacity of the tray = 14 * 10 * 1.5748 = 220.47 in^3

1 gallon = 231 in^3 so the overfill of paint will be 231 - 220.47 = 10.53 in^3

The last option is the correct one.

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I need help with these as well

Mkey [24]

The answer to c. Is 8t+12g

4 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]

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

On integration , we get

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

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

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

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

Conclusion:-

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

6 0

3 years ago

1. Five more than three times a number is sixty- five.

nalin [4]

First equation
a. 3x+5=65
b.3x=60 x=20

7 0

3 years ago

b+4=2b-5, could someone help me with this question please, step by step because I have a quiz in math on friday, thank you!

svet-max [94.6K]

"Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 4 + b + -2b = -5 + 2b + -2b Combine like terms: b + -2b = -1b 4 + -1b = -5 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + -1b = -5 + 0 4 + -1b = -5 Add '-4' to each side of the equation. 4 + -4 + -1b = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -5 + -4 -1b = -5 + -4 Combine like terms: -5 + -4 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9"- geteasysolution.com

8 0

3 years ago

(4*10^4)+(6*10^2) Standard form

Crazy boy [7]

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

7 0

2 years ago

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