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3 years ago

Equation for this word problem:

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

Answer:

Connor is 15, so we multiply Connor's age by 3, because that's how old Sadie is, but -5.

So our answer comes out to 40.

Sadie is 40 years old.

Glad i could help, have a nice day <3

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\int\limits^0_∞ cos{x} \, dx

JulijaS [17]

Answer:

$\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)$

General Formulas and Concepts:

Pre-Calculus

Unit Circle
Trig Graphs

Calculus

Limits
Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$
Integrals
Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$
Trig Integration
Improper Integrals

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int\limits^0_\infty {cos(x)} \, dx$

Step 2: Integrate

[Improper Integral] Rewrite: $\displaystyle \lim_{a \to \infty} \int\limits^0_a {cos(x)} \, dx$
[Integral] Trig Integration: $\displaystyle \lim_{a \to \infty} sin(x) \bigg| \limits^0_a$
[Integral] Evaluate [Integration Rule - FTC 1]: $\displaystyle \lim_{a \to \infty} sin(0) - sin(a)$
Evaluate trig: $\displaystyle \lim_{a \to \infty} -sin(a)$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle -sin(\infty)$

Since we are dealing with infinity of functions, we can do a numerous amount of things:

Since -sin(x) is a shift from the parent graph sin(x), we can say that -sin(∞) = sin(∞) since sin(x) is an oscillating graph. The values of -sin(x) already have values in sin(x).
Since sin(x) is an oscillating graph, we can also say that the integral actually equates to undefined, since it will never reach 1 certain value.

∴ $\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Improper Integrals

Book: College Calculus 10e

7 0

3 years ago

Jenna has a coupon for $20 off any item at a store. The boots she wants at the store are on sale for 20% off. SHE CANNOT APPLY B

Hitman42 [59]

Answer:

She will get a cheaper price for $120 if she uses 20% off with the 20 dollars off it will be a total of $130

4 0

3 years ago

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One angle of a triangle is 3 times the second the third angle is 72 degrees

LUCKY_DIMON [66]

Answer:

18, 54, 108

Step-by-step explanation:

Let the first angle is ‘x’

Second angle =3x

Third angle=2(3x)=6x

Sum of the three angles of a triangle =180 degrees

x+3x+6x=180

x=18

The first angle is 18,second angle is (3*18)=54.third angle is (6*18)=108

The angles are 18,54 and 108 degrees

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2 years ago

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Judith’s parents invest money into a bank account to save up for college. The formula () = ,(.) can be used to find out how much

Semenov [28]

Answer:

c. How much money would be in the account after 18 years?

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2 years ago

Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australia. While booking her family's plan

Paha777 [63]

Answer:

26375

On the graph, it tells you how much fuel is left after 2 hours of the journey.

If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.

Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.

i did the test

Step-by-step explanation:

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3 years ago

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