list all the positive divisors of each number. (a) 24 (b) -36 (c) 35 (d) -32

At point, the parametric curve cross (4, 1, 32).

t functions expressed as x = f(y) = y = f(x) = (some function of the variable x) (some function of the variable y).

It is frequently more easier to view functions of two or more variables (although we'll keep it at two here) as parametric functions, particularly in physical science.

The introduction of the idea of time makes parametric functions the most simple to understand.

Imagine tracing a parabola-like function from left to right as time passes.

Then, it is simple to begin considering how the x-coordinate and the y-coordinate change as a function of time: x = f(t), y = g. (t). In this sense, time is actually referred to as the parameter.

We will investigate functions for which a point exists in this section.

Hence, At point, the parametric curves cross (4, 1, 32).

learn more about parametric functions click here:

brainly.com/question/10196044

#SPJ4

Answer:

y = 2x + 11

Explanation:

N/A

From both equations

Hence the solution set in interval notation

Step 1

Let the number to be added be = n

To make the equation a perfect square

The number is -273/4

Answer:

1) 43/40

2) 35/6

3) 43/40

4) -5/3

5) 1/6

Step-by-step explanation:

1)  -1 4/5 = -(1*5 +4)/ 5= -9/5

or          1= 5/5  so -1 4/5= -( 5/5+ 4/5)=-9/5

-2 7/8= -(2*8+7)/8=-23/8

=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40

                                                                                =  43/40

2) 4 3/4= (4*4+3)/4= 19/4

-1 1/12= -(1*12+1)/12= -13/12

=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6

3) same like 1)

4) 3 1/3 = (3*3+1)/3= 10/3

=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3

5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6

Answer:

sqrt(150)

Step-by-step explanation:

We want to write the whole number inside the radical

5 = sqrt(5*5)

We know that sqrt(a) sqrt(b) = sqrt(ab)

5 * sqrt(6)

sqrt(5*5) * sqrt(6)

sqrt(5*5*6)

sqrt(150)

Answer:

\(\sqrt{150}\)

Step-by-step explanation:

since the 5 is out of the sqrt root, you need to ^2 to put it back in again.

\(5^{2}\)=25

and then in the sqrt you multiply the two variables

6* 25 = 150

so the answer is sqrt{150}

By using the law of exponent the value of (24)⁻¹ is equal to  1/24.

To simplify (24)⁻¹, we can apply the rule for negative exponents.

The rule states that any non-zero number raised to the power of -n is equal to the reciprocal of that number raised to the power of n.

Applying this rule to (24)⁻¹, we have,

(24)⁻¹

= 1 / (24)¹

= 1 / 24

Therefore, applying the law of exponent (24)⁻¹ simplifies to 1/24.

Learn more about laws of exponent here

brainly.com/question/28834295

#SPJ4

The above question is incomplete, the complete question is:

Using laws of exponents with integer exponents ,simplify (24)⁻¹.

one over two raised to the power of negative four one over two raised to the fourth power .

Answer:

Step-by-step explanation:

4y = -3x + 10

y = -3/4x + 5/2

It is a linear because it is a straight line

Answer:

2

:) hope it helped!

At least 25 of the eruptions lasted between 1.9 and 5.46 minutes.

According to Chebychev's Theorem, at least 1 - 1/k^2 of the data values will fall within k standard deviations of the mean. In this case, we want to find at least how many of the eruptions lasted between 1.9 and 5.46 minutes. This range is 1.78 standard deviations from the mean on either side (1.78 = (5.46 - 3.68)/0.89 = (3.68 - 1.9)/0.89). So, k = 1.78.
Plugging this value into Chebychev's Theorem, we get:
At least 1 - 1/k^2 = 1 - 1/1.78^2 = 1 - 1/3.1684 = 0.6846 or 68.46% of the data values will fall within this range.

Since we have a sample size of n=36, we can multiply this percentage by the sample size to find the minimum number of eruptions that lasted between 1.9 and 5.46 minutes:

0.6846 * 36 = 24.7256

Therefore, at least 25 of the eruptions lasted between 1.9 and 5.46 minutes.

Learn more about  Chebychev's Theorem:https://brainly.com/question/5179184

#SPJ11

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

You can learn more about convergence at: brainly.com/question/14394994

#SPJ11

Answer:

16.25 books

Step-by-step explanation:

assuming there are 4 weeks in a month, divide 65 by 4.

Answer:

16  or 16.25

Step-by-step explanation:

You might have to round idek if you meant read or used so

Answer:

10,1 and 1,11

Step-by-step explanation:

I'm guessing at what outliers are

The following parts can be answered by the concept of Interval.

A. The exact solution(s) is/are x = arctan(-0.25) + kπ, x = arctan(-0.25) + π + kπ.

B. The approximate solution(s) is/are x ≈ -0.2449 + kπ, x ≈ 2.8966 + kπ.

Starting with the given equation:

3tan(x) + 5tan(x) + 2 = 0

Combining like terms:

8tan(x) + 2 = 0

Subtracting 2 from both sides:

8tan(x) = -2

Dividing both sides by 8:

tan(x) = -0.25

To find the exact solutions, we need to find the reference angle and determine which quadrants the angle lies in. The reference angle for -0.25 is 0.24498 radians or approximately 0.245 radians.

Since tangent is negative in the second and fourth quadrants, we need to add π to our reference angle to get the solutions in those quadrants.

Thus, our exact solutions are:

x = arctan(-0.25) + kπ and x = arctan(-0.25) + π + kπ

where k is any integer.

Using a calculator, we can approximate the solutions to four decimal places:

x ≈ -0.2449 + kπ and x ≈ 2.8966 + kπ

where k is any integer.

Therefore, the answer is:

A. The exact solution(s) is/are x = arctan(-0.25) + kπ, x = arctan(-0.25) + π + kπ.

B. The approximate solution(s) is/are x ≈ -0.2449 + kπ, x ≈ 2.8966 + kπ.

To learn more about Interval here:

brainly.com/question/13708942#

#SPJ11

Answer:

\( \frac{2}{5} = \frac{6}{15} = \frac{12}{45} \)

Answer is in the file below

tinyurl.com/wtjfavyw

Answer:

(2,-3)

Step-by-step explanation:

2x + 2y = -2

3x - 2y = 12

Add the two equations to eliminate y

2x + 2y = -2

3x - 2y = 12

-----------------------

5x   = 10

5x/5 = 10/5

x = 2

Now find y

2x+2y = -2

2(2)+2y = -2

4+2y = -2

Subtract 4 from each side

4-4 +2y = -2-4

2y = -6

Divide by 2

2y/2 = -6/2

y = -3

(2,-3)

Each piece is 24 inches long. One yard is equal to 36 inches, so two yards are equal to 72 inches.

To solve this problem, we need to convert the length of the board from yards to inches and then divide it into 3 equal parts.

First, we convert 2 yards to inches by multiplying by 36 (since there are 36 inches in a yard):

2 yards × 36 inches/yard = 72 inches

So, the board is 72 inches long.

Next, we divide 72 inches by 3 to find the length of each piece:

72 inches / 3 = 24 inches

Therefore, each piece is 24 inches long. In summary, to find the length of each piece of a board that is 2 yards long and cut into 3 equal pieces, we convert 2 yards to inches by multiplying by 36 and then divide by 3 to get each piece's length, which is 24 inches.

Find out more about yards to inches

brainly.com/question/1609326

#SPJ4

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

Learn more about Random Sampling here: brainly.com/question/30759604

#SPJ11

Angela's score is in the 87th percentile, which means that 87% of the scores were at or below her score.

To calculate the percentage of scores above her score, we subtract 87% from 100%. Therefore, the percentage of scores above Angela's score is 13%.

In summary, Angela's score is at or below 87% of the scores, and 13% of the scores are above her score. The percentile score indicates the percentage of scores that fall below a particular score. Therefore, Angela performed better than 87% of the test takers who took the aptitude test in accounting.

For more questions like Percentile click the link below:

https://brainly.com/question/13638390

#SPJ11

By definition of proportion, Out of a total of 75,000 voters, there are 43,000 predict will vote against Issue 1

Given that Out of a random sample of 300 voters, it was found that 172 voters are in favor of Issue

Now,

Let number of vote against Issue #1 for total 75,000 = x

Hence, By definition of proportion we get;

⇒ 300 / 172 = 75,000 / x

⇒ 300x = 75,000 × 172

⇒ 300x = 12,900,000

⇒ x = 43,000

Therefore, by definition of proportion, Out of a total of 75,000 voters, there are 43,000 predict will vote against Issue 1

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ1

Out of a random sample of 300 voters, it was found that 172 voters are in favor of Issue #1.

Out of a total of 75,000 voters, how many do you predict will vote against Issue #1?

It is predicted that ___

voters are against Issue #1.

A- 30,000

B- 32,000

C- 43,000

D- 60,000

Answer:

Step-by-step explanation:

Area of a circle: r²

We need to find the radius of the circle before we can find the area. The radius of a circle is half of the diameter. We are already given the diameter, so the radius would be 1/2d, where d = diameter.

Plug in 18 for d ⇒ 1/2(18) = 9.

The radius of this circle is 9 inches. Now we can plug in 9 for r in the formula for area of a circle.

9² = 254.5 (rounded to tenths place)

The area of the circle is 254.5 in².

Answer: s= -1

Step-by-step explanation:

Answer:

PAYMENT = 64

AMOUNT WANTED = 64

SO: 400 / 64 = 6.25

SO LEE NEEDS TO WORK FOR 6.25 HOURS IN EACH DAY.

The number of cell phones that minimizes the cost function is 5,500 units (in thousands).

The maximum height reached by the ball can be found by evaluating the expression h(18.8) which will give you the maximum height in meters.

   To find the number of cell phones that minimizes the cost function, we need to find the value of xx that corresponds to the minimum of the cost function C(x)C(x). The minimum point occurs at the vertex of the parabola.

The cost function is given by C(x)=x2−11x+14087C(x)=x2−11x+14087. To find the vertex, we can use the formula x=−b2ax=−2ab​ where the quadratic function is in the form ax2+bx+cax2+bx+c.

In this case, a=1a=1, b=−11b=−11, and c=14087c=14087. Substituting these values into the formula, we have:

x=−(−11)2(1)=112=5.5x=−2(1)(−11)​=211​=5.5

Therefore, the number of cell phones (in thousands) that minimizes the cost function is 5,500 units.

   To find the maximum height reached by the ball and the time at which it happens, we can examine the given height function h(t)=−2.5t2+94t+15h(t)=−2.5t2+94t+15.

The maximum height corresponds to the vertex of the parabolic function. The formula for the time value of the vertex of a quadratic function in the form ax2+bx+cax2+bx+c is given by t=−b2at=−2ab​.

In this case, the quadratic function is h(t)=−2.5t2+94t+15h(t)=−2.5t2+94t+15. By comparing with the vertex formula, we have a=−2.5a=−2.5 and b=94b=94.

Using the formula, we can find the time at which the maximum height occurs:

t=−942(−2.5)=−94−5=18.8t=−2(−2.5)94​=−−594​=18.8

Therefore, the maximum height reached by the ball is given by h(18.8)h(18.8):

h(18.8)=−2.5(18.8)2+94(18.8)+15h(18.8)=−2.5(18.8)2+94(18.8)+15

Evaluating this expression will give you the maximum height in meters.

Please note that negative time values may not be physically meaningful in this context, so consider the positive time value that corresponds to the maximum height.

learn more about "function ":- https://brainly.com/question/2328150

#SPJ11

It should be noted that the addition of 3/4 and 1/16 as a single fraction will be 13/16.

In order to add the fractions 3/4 and 1/16, we need to find a common denominator. The smallest common multiple of 4 and 16 is 16.

First, let's convert 3/4 to have a denominator of 16:

3/4 = (3/4) * (4/4) = 12/16

Now we can add the fractions:

12/16 + 1/16 = 13/16

Therefore, the sum of 3/4 and 1/16 is 13/16.

Learn more about fractions on

https://brainly.com/question/78672

#SPJ1

Can you put it into a single fraction the addition of 3/4 and 1/16.

Answer:

R: (-3, -4)

S: (-3, -1)

T: (-1, -4)