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3 years ago

Please help ASAP I hate maths and am so confused

Mathematics

1 answer:

sveta [45]3 years ago

5 0

Answer:

90 i think im sorry if its wrong

Step-by-step explanation:

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Solve the following inequality for X<br> 2(2.4+ 0.25x)

Snowcat [4.5K]

Answer:4.8 +0.5 x

Step-by-step explanation:

7 0

4 years ago

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What value (s) for n will make this expression true?

umka2103 [35]

Answer:

0 and 3.5

Step-by-step explanation:

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3 years ago

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In order to evaluate 7 sec(θ) dθ, multiply the integrand by sec(θ) + tan(θ) sec(θ) + tan(θ) . 7 sec(θ) dθ = 7 sec(θ) sec(θ) + ta

Maurinko [17]

Answer:

$\int {7 \sec(\theta) } \, d\theta = 7\ln(\sec(\theta) + \tan(\theta)) + c$

Step-by-step explanation:

The question is not properly formatted. However, the integral of $\int {7 \sec(\theta) } \, d\theta$ is as follows:

$\int {7 \sec(\theta) } \, d\theta$

Remove constant 7 out of the integrand

$\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) } \, d\theta$

Multiply by 1

$\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) * 1} \, d\theta$

Express 1 as: $\frac{\sec(\theta) + \tan(\theta) }{\sec(\theta) + \tan(\theta)}$

$\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) * \frac{\sec(\theta) + \tan(\theta) }{\sec(\theta) + \tan(\theta)}} \, d\theta$

Expand

$\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{\sec^2(\theta) + \sec(\theta)\tan(\theta) }{\sec(\theta) + \tan(\theta)}} \, d\theta$

Let

$u = \sec(\theta) + \tan(\theta)$

Differentiate

$\frac{du}{d\theta} = \sec(\theta)\tan(\theta) + sec^2(\theta)$

Make $d\theta$ the subject

$d\theta = \frac{du}{\sec(\theta)\tan(\theta) + sec^2(\theta)}$

So, we have:

$\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{\sec^2(\theta) + \sec(\theta)\tan(\theta) }{u}} \,* \frac{du}{\sec(\theta)\tan(\theta) + sec^2(\theta)}$

Cancel out $\sec(\theta)\tan(\theta) + sec^2(\theta)$

$\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{1}{u}} \,du}}$

Integrate

$\int {7 \sec(\theta) } \, d\theta = 7\ln(u) + c$

Recall that: $u = \sec(\theta) + \tan(\theta)$

$\int {7 \sec(\theta) } \, d\theta = 7\ln(\sec(\theta) + \tan(\theta)) + c$

8 0

4 years ago

A number divided by 43 has a quotient of 3 and a remainder of 28. Find the number

svp [43]

You are given the unknown number which has a quotient of 3 and a remainder of 28. This means that 3 is the whole number from the division of the unknown number and 43 and 28 is the decimal, 3.28. Also, the number is divided by 43 too. Let us denote n as the number so we have n/43. Then equate the n/43 to 3.28.

n/43 = 3.28
n = 43 (3.28)
n = 141.04
<span>The number is 141. 04</span>

3 0

3 years ago

6. Solve the problem. A carousel has a radius of 18 feet and takes 31

Darya [45]

Answer:

v = 3.64 ft/s

Step-by-step explanation:

Given that,

Radius of a carousel, r = 18 feet

It takes 31 seconds to complete revolution.

We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.

d = 2πr

d = 2π × 18 = 113.09 feet

Let v is the linear speed. It can be given by :

$v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s$

So, the linear speed of the carousel is 3.64 ft/s.

7 0

3 years ago