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3 years ago

A car traveld 32 miles in 4 hours at this rate how many miles will the car travel in 0.5 hours

Mathematics

2 answers:

Mandarinka [93]3 years ago

5 0

Answer:

4 miles

Step-by-step explanation:

In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.

$\frac{32}{4} = \frac{x}{0.5}$

We can now cross multiply to find the value of x.

$32 \cdot 0.5 = 16\\\\16\div4 = 4$

So the car can travel 4 miles in 0.5 hours.

Hope this helped!

seraphim [82]3 years ago

3 0

Answer:

4 miles

Step-by-step explanation:

32 divided by 4=8

8 divided by 2= 4

since 0.5 is half of one hour

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Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

Step 4: Integrate Pt. 2

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
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Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0

3 years ago

What are the zeros of the polynomial function? F(x)= x^2 +12x

Pavel [41]

Answer:

x = 0 and x = -12 are the two zeroes

Step-by-step explanation:

"Zeroes" of a function are also called the solutions, roots or x intercepts.

The zeroes are the numbers that give the function a values of 0, so find what value for 'x' yields F(x) = 0 as a result.

With quadratic equations (equations with x² as the largest exponent), you factor the equation.

Step 1: Set the equation equal to zero

x² + 12x = 0

Depending on the equation, there are several methods you can use to factor, for this one we can factor out an 'x' since both terms have an 'x' in them. We get...

x(x + 12) = 0

So now, using the "zero product property" which means that if two things are multiplied together, and the result is zero, then either the first term is zero, the second term is zero, or they are both zero. So we set each term equal to zero and solve.

either x = 0 or x + 12 = 0

Solve each for x to get your two anwers.

x= 0 is already solved, so 0 is our first zero

Now solve

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3 years ago

Ling drove at speed of 45 Miles per hour for 225 miles. How many hours did she drive?

oksian1 [2.3K]

225 miles / 45 miles/hr = 5hr

3 0

3 years ago

K/13 = 0.6/0.5 what does that equal

photoshop1234 [79]

$\frac{k}{13}$ = $\frac{0.6}{0.5}$ equals k = 15.6

First, simplify $\frac{0.6}{0.5}$ to 1.2. Your problem should look like: $\frac{k}{13}$ = 1.2
Second, multiply both sides by 13. Your problem should look like: k = 15.6, which is the answer.

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3 years ago

Samantha has 3 cats. She has 10 treats left in the pantry for them. If she splits the treats equally among the 3 cats, how many

dezoksy [38]

Answer:

3 treats each.

Step-by-step explanation:

3 cats divided by 10 = 9 remainder 1 and 3 times 3 = 9.

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3 years ago