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2 years ago

5

Answer the question below, and then fill in the blanks if necessary.

1 answer:

Shkiper50 [21]2 years ago

7 0

Answer:

yes

Step-by-step explanation:

3(8+4)

(3×8)+(3×4)

24+12

36

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What is the mid point of AB

enot [183]

Answer:

There's no specific answer

Step-by-step explanation:

If you want the Midpoint M between A and B then you should use the equation $\frac{A + B}{2}$

3 0

3 years ago

Determine the area of the given region under the curve <br> (1/x^4) [1,2]

Nikolay [14]

Answer:

$\displaystyle \frac{7}{24}$

General Formulas and Concepts:

<u>Algebra I</u>

Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

<u>Calculus</u>

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]$ <u />

<u />

<u>Step 2: Find Area</u>

[Integral] Set up area: $\displaystyle \int\limits^2_1 {\frac{1}{x^4}} \, dx$
[Integral] Rewrite: $\displaystyle \int\limits^2_1 {x^{-4}} \, dx$
[Integral] Reverse Power Rule: $\displaystyle \frac{-1}{3x^3} \bigg| \limits^2_1$
[Area] Fundamental Theorem of Calculus: $\displaystyle \frac{7}{24}$

Topic: Calculus

Unit: Basic Integration/Riemann Sums

Book: College Calculus 10e

6 0

2 years ago

Is Water is stored in response to changing demand a cause or effect

True [87]

the answer is effect

7 0

2 years ago

Read 2 more answers

September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e

Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

$5y+y=108\\6y=108\\y=18$

Find the value of x

$x=5y -----> x=5(18)=90$

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

3 0

2 years ago

What is the mass of a solid ball of iron with a radius equal to 18 cm if it is known that the density of iron is 7800 kg/m

Shtirlitz [24]

Answer:

60.6528 kg

Step-by-step explanation:

Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:

$V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\pi (\frac{18}{100})^3\\\\V=\frac{4}{3}\pi (0.005832)\\\\V=0.007776$

Therefore, the volume of the solid ball is 0.007776 m³

Since we know that density is mass/volume, then we can find the mass of the iron:

$\rho=\frac{mass}{volume}\\ \\7800\: kg/m^3=\frac{mass}{0.007776\: m^3}\\\\mass=60.6528\:kg$

Thus, the mass of the solid ball of iron is 60.6528 kg

8 0

2 years ago