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3 years ago

Write a number that has a 7 in a place where its value is ten times more than its place in 39,372

Mathematics

1 answer:

Semenov [28]3 years ago

3 0

Answer:

any number that has a 7 in the hundreds place

examples:

736

63,781

39,732

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

Nikolay [14]

Answer:

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

General Formulas and Concepts:

Algebra I

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

Calculus

[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:

Step 1: Define

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

Step 2: Find Area

[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

A man gets an invoice for $460 with terms 4/10, 1/15, n/30. How much would he pay 6 days after the invoice date?

7nadin3 [17]

Answer:

$441.60

Step-by-step explanation:

Invoice amount: $460

Term 4/10= 4% discount if paid early within the first 10 days of the invoice date

Amount due: $441.60

Discount amount: $18.40

Invoice amount: $460

Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date

Amount due: $455.40

Discount amount: $4.60

Invoice amount: $460

Term: n/30= no discount if paid on or after the 30 days from the invoice date

Amount due: $460

Discount amount: $0

3 0

2 years ago

An object with a starting velocity of 15 m/s accelerates at 3 m/s2. How far does the object travel within 10 seconds?

Anna007 [38]

Answer: 300 m

Step-by-step explanation:

$distance(s)=v_it+\dfrac{1}{2}at^2 \quad \text{where}\ v_i \text{is initial velocity, a is acceleration, t is time}$

$s=(15)(10)+\dfrac{1}{2}(3)(10)^2$

= 150 + 150

= 300

6 0

3 years ago

Plz help quick in the question in the pic

yaroslaw [1]

Answer:

The number is 92

Step-by-step explanation:

Let x equal the number

It is tripled

Then it is tripled again

3(3x)

That equals 828

3(3x) = 828

9x =828

Divide each side by 9

9x/9 =828/9

x =92

8 0

3 years ago

Read 2 more answers

The diagram shows a vertical tower DC on a horizontal ground ABC.

sasho [114]

The measure of ABD=180°- 54°=26°
and then the measure of ADB= x
and x + 26° + 28°= 180°, sum of anlgle in a triagle property
it means x= 180°- 26-28=126°
application of sinus law in the triangle

sin 28 / BD = sin 126/ AD = sin 26/ 25 so we can deduce that

AD= 25sin126 / sin26= 46.12
let 's consider the triangle ADC, so for finding h, we have sin 28 = h / AD
and then h = AD x sin28=21.65

Calculate the height of the tower is 21.65

6 0

3 years ago