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3 years ago

What is 6 1/2 - 2 2/5 - 2 1/2 =

Mathematics

1 answer:

VikaD [51]3 years ago

4 0

Answer:

1 3/5

Step-by-step explanation:

Change to mixed fractions, that'll give:

13/2 - 12/5 - 5/2

Using lcm:

16/10

Change back to mixed fractions:

1 6/10

Lowest term:

1 3/5

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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

G) 0.2° +0.28 =(0.2275

GuDViN [60]

Answer:

0.2+0.28= 0.48

Step-by-step explanation:

ADD

8 0

3 years ago

Nancy has (4K + 6) meters of ribbon. Kevin has (6k - 2) meters of ribbon. If k = 5, who has the shorter ribbon?

jek_recluse [69]

Answer:

4*5+6 = 26

6*5-2= 28

Nancy has the shortest ribbon

3 0

3 years ago

Which equivalent four-term polynomial can be created using the X method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x

Lerok [7]

Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

<h3>What are polynomial?</h3>

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).

Therefore, the solution of the polynomial is,

$x^2+ 16x+48\\\\ = x^2 + 12x+4x+48$

Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

Learn more about Polynomial:

brainly.com/question/17822016

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3 years ago

compare two loans for 5000 dollars. the 5 year has a 5% simple interest rate the 6% loan has a 4% simple interest rate which loa

Aleonysh [2.5K]

Any answer things? :/

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3 years ago