x^{2}+x-90
can you answer this please and think you.

Answer:

−8w − 6z − 24

-20w + 3(4w -8) - 6z Distributive Property (multiply 4w and -8 by 3)

-20w + 12w - 24 - 6z Combine Like terms (add 12w to -20w)

-8w - 6z - 24

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

Step-by-step explanation:

a, compares to 50 beacuse a means the staying point ; slope, so that’s why it starts at 50.

b, compares to 3 beacuse that is the y-intercept

Answer:

$130.5

Step-by-step explanation:

$108.75 divided by 15(hours) is $7.25(per hour). You get that answer and times it by 18(hours) which would give you $130.5

Answer:

b 16.4 ft

Step-by-step explanation:

To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.

First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:

radians = degrees x (π/180)

So for e = 2, we have:

e (in radians) = 2 x (π/180) = 0.0349 radians

Now we can plug this value into the equation y = 2 csc e:

y = 2 csc(0.0349) ≈ 103.8 feet

This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:

y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot

Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.

So the correct answer is (b) 16.4 feet.

Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.

To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:

1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.

2. Calculate the cosecant  (csc) of the angle e: csc(0.1222) ≈ 8.185.

3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.

4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).

Learn more about feet:

brainly.com/question/20111809

#SPJ11

The maximum amount of rainfall that was ever recorded in a single day in Turramurra is 444 centimeters.

From the dot plot, we can see that the maximum rainfall recorded in a single day was 444 centimeters. This is the highest value plotted on the graph and is the maximum amount of rainfall that was ever recorded in Turramurra.

The dot plot reveals that the maximum amount of rain ever recorded in a single day in Turramurra is 444 centimeters. This is an unusually high amount of rain for the area, indicating that the day might have been particularly stormy or that the area was in the middle of a heavy rain season. It is interesting to note that the average rainfall for the area is about 50 centimeters, making this day an outlier in the 414141-year period.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer: A

Step-by-step explanation: It's the first option

. Write the equation for the line: (Hint: there are two points given to you!)

________________________

y= mx + b

the slope is m

or

(y - y1) = m (x - x1)

___________________

points (x,y)

point 1 (4, 4) x1 = 4; y1 = 4

point 2 (3 , -1) x2= 3; y2 = -1

The slope m = (y2- y1) / (x2 -x1)

m=(-1 - 4 )/( 3 - 4)

m= -5/-1 = 5

(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)

____________________

(y - 4) = 5 (x - 4)

y= 5x -20 +4

y= 5x - 16

The equation for the line is y= 5x - 16

__________________

Do you have any questions regarding the solution?

Given :

Δ  Area of the Triangle is 96 square units

Δ  Height of the Triangle is 9.6 units

We know that:

\(\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}\)

\(\implies \sf{\dfrac{1}{2} \times Base \times 9.6 = 96}\)

\(\implies \sf{\dfrac{1}{2} \times Base = \dfrac{96}{9.6}}\)

\(\implies \sf{\dfrac{1}{2} \times Base = \dfrac{960}{96}}\)

\(\implies \sf{\dfrac{1}{2} \times Base = 10}\)

\(\implies \sf{Base = 20 \ units}\)

sfdfgjhndghjStep-by-step explanation:

Answer:

The answer is J.

Step-by-step explanation:

To find the slope of the line, pick two dots on that are EXACTLY on the grid.

I picked (0,3) and (2,2)

First, count how many units down the two points are from each other

I counted one.

Then, count how many units they are away from the side.

I got 2.

Slopes are rise over run or y over c so the slope is 1/2

The line is negative, too as it is going down so the slope is negative.

Therefore, the slope is -1/2 and only one option have a slope of -1/2 and it’s J

Also, to know which number is the slope look for the number before the x. In slope intercept form, that is the slope.

Answer:

Area of Floor= (12*30)+ (20*10)

=360+ 200= 560

Ans C

Answer:

Step-by-step explanation:

4x² - 2y

when

x = - 2 and y = - 1

Substitute the values of x and y into the expression and simplify

That's

\(4( - 2)^{2} - 2( - 1) \\ = 4(4) + 2 \\ = 16 + 2\)

We have the final answer as

Hope this helps you

Answer:The answer will be -18 because you are subtracting 2 two times!!

Step-by-step explanation:Simply step by step by step answer Hope this helps!️.

There is sufficient evidence for significance level 10%  to conclude students with study skills course have higher exam scores using hypothesis test.

To conduct a hypothesis test,

set up the null and alternative hypotheses and perform the necessary calculations.

Null Hypothesis (H₀),

The study skills course did not have a significant effect on the mean final exam scores. µ = 77.6.

Alternative Hypothesis (Hₐ),

The study skills course had a significant effect on the mean final exam scores. µ > 77.6.

To test this hypothesis, use a one-sample t-test since we have a sample mean and population standard deviation.

Sample mean (X) = 79.5

Population mean (µ) = 77.6

Population standard deviation (σ) = 7.2

Sample size (n) = 36

Significance level (α) = 0.10 (10%)

First, let's calculate the test statistic (t-value),

t

= (X - µ) / (σ / √n)

= (79.5 - 77.6) / (7.2 / √36)

= 1.9 / (7.2 / 6)

= 1.9 / 1

= 1.9

Next, determine the critical t-value from the t-distribution calculator.

Since the alternative hypothesis is one-sided (µ > 77.6), interested in the upper tail of the distribution.

At a significance level of 0.10 with 35 degrees of freedom (n - 1 = 36 - 1 = 35), the critical t-value is approximately 1.310.

Since the calculated t-value (1.9) is greater than the critical t-value (1.310), we have evidence to reject the null hypothesis.

Therefore, using hypothesis test there is sufficient evidence at 10% significance level to conclude that students who took study skills course had higher exam scores.

Learn more about hypothesis test here

brainly.com/question/15350302

#SPJ4

The variance of 2X + 3Y is 35.52.

The solution to the problem is as follows:

First, find the mean and variance of X and Y:

E(X) = 3/5

Var(X) = 3/25

E(Y) = 1

Var(Y) = 1/25

Then, use the properties of variance to find the variance of 2X + 3Y:

Var(2X + 3Y)

= 4Var(X) + 9Var(Y) + 12Cov(X,Y)Cov(X,Y)

= E[(2X - 6/5)(3Y - 1)]

= 6E(XY) - 6E(X) - 3E(Y) + 2

= 6 * (integral from 0 to infinity integral from 0 to infinity of xyf(x,y)dxdy) - 6 * 3/5 - 3 * 1 + 2 = 6 * (integral from 0 to infinity 15xye^-3xdydx) - 8

= 54/5

Therefore,

Var(2X + 3Y) = 4(3/25) + 9(1/25) + 12(54/5)

                     = 888/25

                     = 35.52.

To learn more about variance: https://brainly.com/question/15858152

#SPJ11

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

To know more about area of a rhombus on the link below:

https://brainly.com/question/12783973#

#SPJ11

Answer: The price increase = $2,860.

The price of the next model will be $57,860.

Step-by-step explanation:

Given: The next model sports car will cost 5.2% more than the current model.

Current model costs $55,000.

Price increase = 5.2%  of (Cost of current model)

= (0.052) x ($55000)

= $ 2860

So, the price increase = $2860.

Price of the next model = Cost of current model +  price increase

= $(55000+2860)

= $ 57,860

Hence, the price of the next model will be $57,860.

Answer:

Step-by-step explanation:

second one

Answer:

middle table

Step-by-step explanation:

The middle table has the same set of ordered pairs as the given set.

This equation can be used to predict the value of y for any given value of x that falls within the Range of the data.

Equation for a line of fit for the given data, we need to first determine the slope and y-intercept of the line. We can use the two ordered pairs (0, 1) and (6, 10) to do this.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the values from the given points, we get:

m = (10 - 1) / (6 - 0) = 1.5

So the slope of the line is 1.5.

Next, we can use the point-slope form of a linear equation to write the equation of the line passing through the point (0, 1) with slope 1.5:

y - y1 = m(x - x1)

Substituting the values of the point (0, 1) and the slope m = 1.5, we get:

y - 1 = 1.5(x - 0)

Simplifying and rearranging, we get:

y = 1.5x + 1

So the equation of the line of fit in y = mx + b form is:

y = 1.5x + 1

This equation can be used to predict the value of y for any given value of x that falls within the range of the data.

To know more about Range of the data.

https://brainly.com/question/24326172

#SPJ11

Answer:

4

Step-by-step explanation:

Because you use trial and error to see what x is and it says integet meaning 1,2,3,4,5,6... and their opposites.

Answer:

x ≈ 5 using math and x ≈ 4 using trial and error

Step-by-step explanation:

\(6^x = 3800\)

\(x = log_{6}*3800\)

x ≈ 4.6 ≈ 5

Hope this helped!

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

Trial and Error:

6 ^ 4 = 1276

6 ^ 5 = 7776

3800 is closer to 1276, so x = 4

Answer:

converges.

Step-by-step explanation:

We can use the ratio test to determine whether the series converges or diverges.

The ratio test states that for a series ∑aₙ, if the limit of the absolute value of the ratio of successive terms is less than 1, then the series converges absolutely. If the limit is greater than 1 or does not exist, then the series diverges.

Let's apply the ratio test to the given series:

lim k→∞ |(k^(2+1)−k+2) / (3(k+1)^(4)+2(k+1)^(2)+1) * (3k^(4)+2k^(2)+1) / (k^(2)−k+1)|

= lim k→∞ |(3k^(6) + 8k^(5) - 5k^(4) - 6k^(3) + 9k^(2) + 2k + 1) / (3k^(6) + 12k^(5) + 23k^(4) + 22k^(3) + 13k^(2) + 4k + 1)|

= 3/3 = 1

Since the limit of the absolute value of the ratio of successive terms is 1, the ratio test is inconclusive. We need to use another test.

Let's try the limit comparison test, where we compare the given series to another series whose convergence or divergence is known.

We can choose the series ∑[infinity]->k=1 1/k^(2). This series converges by the p-series test since p=2>1.

Now, let's find the limit of the ratio of the two series:

lim k→∞ [(k^(2)−k+1) / (3k^(4)+2k^(2)+1)] / (1/k^(2))

= lim k→∞ k^(4)(k^(2)-k+1)/(3k^(4)+2k^(2)+1)

= 1/3

Since the limit is a finite positive number, both series have the same convergence behavior. Therefore, the given series converges by comparison to the convergent series ∑[infinity]->k=1 1/k^(2).

Therefore, the given series converges.

The given series can be determined to be a convergent series using the Limit Comparison Test.

To apply the Limit Comparison Test, we need to find another series whose behavior is known. We can do this by simplifying the given series by dividing both the numerator and denominator by k^4. This gives us:

[(k^2/k^4) - (k/k^4) + (1/k^4)] / [3 + (2/k^2) + (1/k^4)]

Now, as k approaches infinity, all the terms containing k will approach zero, leaving us with:

[0 - 0 + 1/k^4] / [3 + 0 + 0]

Simplifying this expression further gives us:

1 / 3k^4

Now, we can compare this to the known convergent p-series, 1/k^2, by taking the limit of the ratio of their terms as k approaches infinity:

lim as k -> infinity of [(1/3k^4)/(1/k^2)] = lim as k -> infinity of (k^(-2))/3 = 0

Since the limit is a finite value, we can conclude that the given series is convergent by the Limit Comparison Test. Therefore, the series converges.

To learn more about Limit Comparison Test, visit:

https://brainly.com/question/30758037

#SPJ11

Answer:

25 units

Step-by-step explanation:

distance = square root (-8,15)^2 (17,15)^2

Step-by-step explanation: I hope this helps.

Answer:

Answer:

Step-by-step explanation:

You want the value of x that makes f(x) = 60, when f(x) is the exponential function with an initial value of 100 and a decay factor of 0.95.

The form of an exponential function is ...

  f(x) = (initial value) · (decay factor)^x

For the given initial value and decay factor, the function is ...

  f(x) = 100 (0.95^x)

Solving for x, we find ...

  f(x)/100 = 0.95^x

  log(f(x)/100) = x·log(0.95)

  x = log(f(x)/100)/log(0.95)

For f(x) = 60, the value of x is about ...

  x = log(60/100)/log(0.95) ≈ 9.959

The value of x is about 9.959.

1. The money that the gym employee earns in 1 month is $1500.

2. The money that the gym employee earns in 5 months is $7500.

The gym employee earns the same amount each month and after working for three months, he earned $4,500.

In this case, the amount that he earns monthly will be:

= Total amount / Number of months

= $4500 / 3

= $1500

He earns $1500 monthly.

The money that the gym employee earns in 5 months will be:

= 5 × $1500

= $7500.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

To know more about linear regression, click here

https://brainly.com/question/32505018

#SPJ11

To create a calculator in a C# Windows Form application, you can follow these steps:

1. Open Visual Studio and create a new Windows Forms Application project.
2. Design the user interface of the calculator by dragging and dropping the necessary controls from the Toolbox onto the form. You will need buttons for numbers, arithmetic operations (+, -, *, /), and an equals (=) button. You can also add a text box to display the result.
3. Set properties for each control to specify their appearance and functionality. For example, you can set the text property of each button to represent the corresponding number or operation.
4. Write the code for handling button clicks and performing calculations. Double-click on each button to create an event handler for the Click event. Inside the event handler, you can access the button's text property to determine which button was clicked. Use conditional statements and switch-case statements to handle different button clicks.
5. Create variables to store the numbers entered by the user and the result of the calculations. You can use the double data type for these variables.
6. Implement the logic for performing calculations based on the button clicked. For example, when the "+" button is clicked, you can add the two numbers together and display the result in the text box. Similarly, you can handle other arithmetic operations.
7. Use the TryParse method to convert the button's text to a double value and store it in the appropriate variable. This will allow you to perform calculations correctly.
8. Display the result of the calculations in the text box by assigning the calculated value to the text property of the text box.
9. Test your calculator by running the application and clicking on the buttons to perform calculations. Verify that the calculator performs the desired calculations and displays the correct results.

Here is a simplified example of code for handling button clicks and performing calculations in a C# Windows Form application:

```csharp
private double firstNumber;
private double second number;
private string operation;

private void NumberButton_Click(object sender, EventArgs e)
{
   Button button = (Button)sender;
   textBox.Text += button.Text;
}

private void OperationButton_Click(object sender, EventArgs e)
{
   Button button = (Button)sender;
   operation = button.Text;
   firstNumber = double.Parse(textBox.Text);
   textBox.Clear();
}

private void EqualsButton_Click(object sender, EventArgs e)
{
   secondNumber = double.Parse(textBox.Text);
   double result = 0;

   switch (operation)
   {
       case "+":
           result = firstNumber + secondNumber;
           break;
       case "-":
           result = firstNumber - secondNumber;
           break;
       case "*":
           result = firstNumber * secondNumber;
           break;
       case "/":
           result = firstNumber / secondNumber;
           break;
   }

   textBox.Text = result.ToString();
}
```

Remember to adjust the code and customize the user interface according to your specific requirements.

to know more about c# windows here:

brainly.com/question/31252564

#SPJ11

(a) The price is $18.

(b) The rate of change of demand with respect to price when x = 3 is 1/8 thousand units per dollar.

(c) The elasticity of demand when x = 3 is -3/4.

(a) When x = 3, the price, p can be computed by substituting the value of x in the given equation.

So, p = -2(3)² - 2(3) + 31 = -18 dollars

Price, p = $18.

(b) The demand function is given by:

p = -2x² - 2x + 31

Differentiate with respect to p.

dp/dp = d/dp(-2x^2 - 2x + 31)

Simplifying this, we get:

1 = -4x dx/dp - 2

Solving for dx/dp, we get:

dx/dp = (1 + 2)/(4x)

Substituting x = 3, we get:

dx/dp = 3/24 = 1/8

Therefore, the rate of change of demand with respect to price when x = 3 is 1/8 thousand units per dollar.

(c) To compute the elasticity of demand when x = 3, we use the formula:

E = (p/x) * (dx/dp)

Substituting x = 3 and dx/dp = 1/8 from parts (a) and (b), we get:

E = (p/3) * (1/8)

Substituting p = -18 from part (a), we get:

E = (-18/3) * (1/8) = -3/4

Therefore, the elasticity of demand when x = 3 is -3/4.

To learn more about elasticity of demand visit : https://brainly.com/question/1048608

#SPJ11

Answer:

Her cake should be 495 grams

Answer:

first term (a)= 2

second term (b) = -8

common ratio (r) = -8/2 = -4

15th term = ar^ (n-1)

                = 2* (-4)^ 14 =536870912

Step-by-step explanation:

The 15th term for the given sequence is given as a₁₅ = 536870912.

In order to check a geometric sequence, find the ratios of the consecutive terms of the given sequence. If they are equal, the given sequence is geometric.

The given geometric sequence is 2 , -8 , 32 .....

The first term a₁ = 2

The common ratio r = -8/2 = -4

The general term of a geometric sequence is given as aₙ = a₁rⁿ⁻¹

Substitute n = 15 in the above expression to obtain,

a₁₅ = a₁r¹⁵⁻¹

    = 2 × -4¹⁴

    = 536870912

Hence, the 15th term for the geometric sequence is 536870912.

To know more about geometric sequence click on,

https://brainly.com/question/11266123

#SPJ2