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labwork [276]
3 years ago
6

A solid lies between planes perpendicular to the x-axis at x=0 and x=19. The cross sections perpendicular to the x-axis on the i

nterval 0(less that or equal to)x(less than or equal to)15 are squares with diagonals that run from the parabola y=-2sqrt(x) to the parabola y=-2√x to the parabola y=2√x. Find the volume of the solid.

Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:

Volume of solid formed = 900

Step-by-step explanation:

The detailed steps is as shown in the attached file

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A youth organization collected nickels and dimes for a charity drive. By the end of the 1-day drive, the youth had collected $63
uysha [10]

Let, the numbers of nickels be x.

Given, there were 5 times as many dimes as nickels.

So, the number of dimes = 5x

We know that 1 nickel = $(0.05)

So x nickels = $(0.05x)

Also we know that 1 dime = $(0.1)

So 5x dimes = $(0.1 ×5x) = $(0.5x)

Given total value of dimes and nickels at the end of day 1 is $63.80

So we can write the equation

0.05x+0.5x = 63.80

0.55x = 63.80

Now we to find x, we have to move 0.55 to the other side. As 0.55 is multiplied there so to move it we need to divide it to both sides.

0.55x/0.55 = 63.80/0.55

x = 116

So we have got the number of nickels = 116

Number of dimes = 5x = 5(116) = 580

So we have got the required answer.

Number of nickels = 116, number of dimes = 580.

8 0
3 years ago
Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data c
slega [8]

The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>The data points </h3>

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

  • x represents years since 2000
  • y represents the annual revenue of a manufacturing company in thousand dollars

<h3>The function of the dataset</h3>

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x  + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>Why the function type was chosen?</h3>

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

Read more about quadratic regression equation at:

brainly.com/question/14786188

#SPJ1

5 0
2 years ago
A spinner is broken into section labeled 1 to 38. What is the probability that.On your next spin, that you will spin a 1?
VashaNatasha [74]

Answer:

1/38

Step-by-step explanation:

Given :

Probability = required outcome / Total possible outcomes

Total possible outcomes = total Numbe rod sections = 38

Required outcome = number of 1's on the entire section = 1

Hence, the probability of spinning a one equals :

P(spinning a 1) = 1 / 38

8 0
3 years ago
Tina has ½ of a pan of cornbread leftover from a dinner party. She eats ½ of the leftover part the next night. How much of the w
Kisachek [45]
1/4 is the answer to this
7 0
3 years ago
How many solutions does the system of equations below have?<br> y = –7x − 9<br> y = 23x − 89
Vlad1618 [11]

Answer:  infinitely many solutions

Step-by-step explanation: A system of two equations can be classified as follows:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

5 0
2 years ago
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