Solve. 2 — x 6 = 9 What’s the answer?

Jacon walks 70.4 feet in 0.2 hours. If he walks at the same rate the whole time, what is his spped in feet per hour?

timofeeve [1]

Answer:

12.7

Step-by-step explanation:

6 0

3 years ago

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Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0

Alika [10]

Answer:

Step-by-step explanation:

Given the number 8.132132....

we have to convert the above number to a rational expression.

→ (1)

Multiply by 1000 on both sides

→ (2)

Subtracting equation (1) from equation (2), we get

Divide throughout by 999, we get

which is required rational form.

3 0

3 years ago

Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

3 years ago

What is the following number in decimal form? 2.93 × 10−7 =

Arisa [49]

$a^{-n}=\left(\frac{1}{a}\right)^n\\\\10^{-7}=\left(\dfrac{1}{10}\right)^7=\dfrac{1}{10,000,000}=0.0000001\\\\2.93\times10^{-7}=2.93\times0.0000001=\boxed{0.000000293}$

3 0

4 years ago

students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this

Mariulka [41]

Answer:

36

Step-by-step explanation:

becuase each row has 6 in them and there are 6 rows so 36 is the final answer

8 0

3 years ago

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