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2 years ago

Using indefinite integration. Calculate the following integrals.

Mathematics

1 answer:

natta225 [31]2 years ago

5 0

Step-by-step explanation:

$A) \ y=\int\ ({0.5sin3x+5cos10x}) \, dx=0.5sin10x-\frac{1}{6}cos3x+C;$

$B) \ y=\int\ {12e^{4x}} \, dx=3e^{4x}+C;$

$C) \ y=\int\ {0.5x+6x^2} \, dx=0.25x^2+2x^3+C;$

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Solve 1/2x+8≤ 10 What is x equal to?

Salsk061 [2.6K]

Answer:

x ≤ 4

Step-by-step explanation:

1/2 x + 8 ≤ 10

1/2 x ≤ 10 - 8

1/2 x ≤ 2

x ≤ 4

7 0

4 years ago

Read 2 more answers

A college has space for 580 students. The college estimates that 65% of the students who are admitted will attend the college. H

marshall27 [118]

Answer:

The number of students whom should be admitted is 377.

Step-by-step explanation:

Given:

College has space for 580 students.

The college estimates that 65% of the students who are admitted will attend the college.

Now, to find the number of students whom should be admitted.

Space for total number of students = 580.

Percentage of the students who are admitted = 65%.

Total number of students whom should be admitted = 65% of 580.

$=\frac{65}{100}\times 580$

$=\frac{37700}{100}$

$=377.$

Therefore, the number of students whom should be admitted is 377.

4 0

4 years ago

At a football stadium, 5% of the fans in attendance were teenagers. If there were 160 teenagers at the football stadium, what wa

mixas84 [53]

Answer:

The total number of people at the stadium was 3200.

Step-by-step explanation:

5% = 160

160 x 20= 3200

Since 20 x 5 is 100, I multiplied 160 by 20 to get 3200.

8 0

3 years ago

a city ordinance requires that more than 75% of its residents must agree to the construction of new public buildings (using tax

mestny [16]

The value of the standardized test statistic for this significance test is 1.7265

Standardized test statistic

In statistics, the standardized test statistic means a way for you to compare your results to a “normal” population.

Given,

A city ordinance requires that more than 75% of its residents must agree to the construction of new public buildings (using tax dollars) before any such structures can be built. a proposal has been made to build a new recreational facility in the city, and sponsors of the proposal want to conduct a small survey to see if it would be approved if put to an official vote of all residents. a simple random sample of 150 residents revealed that 123 supported a change (and 27 did not).

Here we need to find the value of the standardized test statistic for this significance test.

While we looking into the given question we have identified the following values,

Random samples = 150

Supported values = 123

Not supported = 23

Aggreged percentage = 75%

So, the null and alternative hypotheses were as follows: H0: p = 0.75 and Ha: p ≠ 0.75.

Then the value of Standardized test statistic is calculated as,

=> (150 - 123) / (75 / √23)

=> 1.7265

To know more about Standardized test statistic here

brainly.com/question/16695849

#SPJ4

4 0

1 year ago

What is x equal to in this equation 5x-20<-5

kari74 [83]

The solution to given inequality is:

x<3

Step-by-step explanation:

We have to solve the given inequality to get the value of x

Given inequality is:

$5x-20$

Adding 20 on both sides

$5x-20+20$

Dividing both sides by 5

$\frac{5x}{5}$

The solution to given inequality is:

x<3

x will be equal to all values less than 3

Keywords: Inequality

Learn more about inequality at:

#LearnwithBrainly

5 0

3 years ago