Suppose that E and Fare points on the number line. If EF=10 and E lies at - 17, where could F be located? If there is more than one location, separate them with commas.​

The values of x when the graph of f(x) = 0 are 8

From the question, we have the a graph that can be used in our computation:

This means the graph represents the given parameter

To calculate the values of x when f(x) = 0, we simply determine the x-coordinate when the line of the graph cross the x-axis

In this case, the x-coordinate is

x = 8

Note that this represents the x-intercept

Read more about intercepts at

brainly.com/question/20687801

#SPJ1

The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.

Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.

To know more about Cumulative frequency , click here:

https://brainly.com/question/5102661

#SPJ4

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

For similar question on function.

https://brainly.com/question/24748644

#SPJ11

A piecewise function is a function that is defined by different equations on different intervals.

Graphing a piecewise function on a graph is a great way to visualize its behavior and understand its properties. One of the most popular and user-friendly ways to graph piecewise functions is using the online graphing calculator Desmos.

Here is a step-by-step guide on how to graph a piecewise function on Desmos:

Go to the Desmos website

and click on the "Graphing Calculator" button.

On the left side of the screen, you will see a text box labeled "y=". This is where you will enter the equation of your piecewise function. You can enter multiple equations by separating them with commas.

To graph a piecewise function, you will need to enter different equations for different intervals.

For example, if you have a piecewise function that is defined by the equation y = x^2 for x < 0 and y = x + 2 for x ≥ 0, you would enter y = x^2, x < 0 and y = x + 2, x ≥ 0 in the "y=" text box.

Once you have entered your equations, press the "Graph" button to see the graph of your piecewise function on the screen.

If you want to adjust the graph, you can use the sliders on the left side of the screen to change the range of the x- and y-axis. You can also use the buttons at the top of the screen to zoom in and out or pan around the graph.

To see the graph of multiple piecewise functions at once you can use the "Add another equation" button under the "y=" text box to add additional equations.

You can also use the "Table" tab to see the values of the function at certain x-values and also can use the "Slider" tab to change the value of x and see how that effects the graph of the function.

By following these steps, you can easily graph piecewise functions on Desmos and visualize the behavior of the function. Desmos is a great tool that allows you to experiment with different equations and see how they affect the graph of the function.

It is a great way to understand the properties of piecewise functions and to visualize them in multiple ways.

to know more about graph refer here

https://brainly.com/question/17267403#

#SPJ11

Answer:

c

Step-by-step explanation:

y=2(2)2-8(2)+3

=8-16+3

=-8+3

=-5

Answer:

c

Step-by-step explanation:

i did the prep

Answer:

About 36%.

Step-by-step explanation:

The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.

The total value is $1,500. The initial cost is $1,100.

(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636

So, Dean's rate of return on investment is about 36%.

Hope this helps!

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

Learn more about nonlinear problem: brainly.com/question/31457669

#SPJ11

Answer:

4 feet of ribbon ÷ 1/3 foot riboon = 12 pockets

Step-by-step explanation:

120° because opposite angles of parm are equal

_____

B

_________

?

______________

Answer:

B

Step-by-step explanation:

B] The rate of feet per a second is 30 therefore it is B.

Answer:

x = 14°

Step-by-step explanation:

4x + 2x + 6 = 90

6x + 6 = 90

subtract 6 from both sides

6x = 84

divide by 6 on both sides

x = 14°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The slope is -20/27 :)

Answer:

- 20 / 27

Step-by-step explanation:

( x1, y1 ) = ( 28, 51 )

Here,

x1 = 28

y1 = 51

( x2, y2 ) = ( - 26, 91 )

Here,

x2 = - 26

y2 = 91

Formula : -

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

Slope = ( 91 - 51 ) / ( - 26 - 28 )

= 40 / - 54

= - 40 / 54

Slope = - 20 / 27

Proper fraction = - 20 / 27

Answer:

$3300 at 4%

$11700 at 7%

Step-by-step explanation:

Total investment = $15000

Total simple interest on investment = $951

Investment A:

Rate = 4% =0.04

Investment B:

Rate = 7% =0.07

Simple interest (S. I) = principal * rate * time

(S. I on investment A + S. I on investment B)

Let principal amount in investment A = A

principal amount in investment B = B

(A * 0.04 * 1) + (B * 0.07 * 1) = $951

0.04A + 0.07B = $951 - - - - (1)

A + B = $15000 - - - - (2)

from (2)

A = 15000 - B

Substitute A = 15000 - B into (1)

0.04(15000 - B) + 0.07B = 951

600 - 0.04B + 0.07B = 951

600 + 0.03B = 951

0.03B = 951 - 600

0.03B = 351

B = 351 / 0.03

B = $11700

From (2)

A + B = $15000

A + $11700 = $15000

A = $(15000 - 11700)

A = $3300

Using trigonometric ratio, the hypothenuse is 20ft

Trigonometric ratios, also known as trigonometric functions or trig functions, are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The most common trigonometric ratios are: sine, cosine and tangent.

In this question given;

We have the angle and the opposite of the angle;

Using the sine ratio;

sin 30 = opposite / hypothenuse

sin 30 = 10 / x

cross multiply both sides and solve for x;

x = 10/sin30

x = 10 / 0.5

x = 20ft

The hypothenuse is 20ft

Learn more on trigonometric ratio here;

https://brainly.com/question/17155803

#SPJ1

hi! im chimken and i have your answers!

x = 43/8

( 98 ÷ 14 + x - 9 / 24 ) • 40 = 480

( 7 + x - 9 / 24 ) • 40 = 480

( 53 / 8 + x ) • 40 = 480

265 + 40x = 480

40x = 480 - 265

40x = 215

x = 43 / 8

i hope this helped! have a good day! :)

praise bingus!

Answer: x = 43/8

HOPE THIS HELPS

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)  converges absolutely.

To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:

1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)

This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\)  satisfies the following conditions:

1. The terms \(b_n\) are positive and decreasing for all n.

2. The limit of \(b_n\) as n approaches infinity is zero.

In our case, \(b_n = 1/(4n)\). Let's check the conditions:

Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.

Condition 2: Let's calculate the limit of b_n as n approaches infinity:

\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.

2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)

To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:

\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)

1. If L < 1, the series converges absolutely.

2. If L > 1, the series diverges.

3. If L = 1, the test is inconclusive.

In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:

\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)

               \(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)

              \(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)

            \(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)

Taking the limit as n approaches infinity:

\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)

Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.

Therefore, both series converge.

To learn more about series ,

https://brainly.com/question/30087275

#SPJ4

Answer: x^2 + y^2 - 4x + 18y = 76 = 0

The center of the circle given is (2, 9)

radius = r

The equation of a circle for a given point is

(x - h)^2 + (y - k)^2 = r^2

Where h = 2, and y = 9

(x - 2)^2 + (y - 9)^2 = 3^2

Expand the parentheses

(x - 2) (x - 2) + (y - 9) (y - 9) = 9

(x - 2) (x - 2 ) = x* x - 2*x - 2*x + 2* 2

= x^2 - 4x + 4

(x - 2) (x - 2) = x^2 - 4x + 4

(y - 9) (y - 9) = y*y - y*9 - 9*y + 9*9

= y^2 - 18y + 81

(y - 9) (y - 9)= y^2 - 18y + 81

Therefore, the equation becomes

x^2 - 4x + 4 + y^2 - 18y + 81 = 9

Re-arrange the equation

x^2 + y^2 - 4x - 18y + 4 + 81 = 9

x^2 + y^2 - 4x - 18y = 9 - 81 - 4

x^2 + y^2 - 4x - 18y = -76

x^2 + y^2 - 4x - 18y + 76 = 0

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Answer:

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Step-by-step explanation:

Answer:

3q

Step-by-step explanation:

i think

Answer:

6< 3x

[where 3x = a number tripled]

The answer to the question "difference of -72 and a product of -720?" is -9.

To find the sum of the two numbers, we can set up the following equations based on the given information:

Let the two numbers be x and y, where x > y.

x - y = -72 (since the difference between the numbers is -72)

xy = -720 (since the product of the numbers is -720)

We can solve these equations simultaneously using algebraic methods. One way to do this is to isolate one of the variables in one of the equations and substitute it into the other equation. For example, we can isolate y in the first equation by rearranging it to y = x + 72, and then substitute this into the second equation:

x(x + 72) = -720

Expanding the left-hand side, we get:

x^2 + 72x = -720

Rearranging the equation, we get:

x^2 + 72x + 720 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

where a = 1, b = 72, and c = 720. Plugging in these values, we get:

x = (-72 ± √(72^2 - 4(1)(720))) / (2(1))

Simplifying further, we get:

x = (-72 ± √(5184 - 2880)) / 2

x = (-72 ± √2304) / 2

x = (-72 ± 48) / 2

Now we have two possible values for x:

x1 = (-72 + 48) / 2 = -12

x2 = (-72 - 48) / 2 = -60

Since x > y, we take x = -12 and y = -72 - (-12) = -60 + 12 = -48.

Thus, the sum of the two numbers is -9, which is obtained by adding x and y:

-12 + (-48) = -9.

Read more about sum of number

brainly.com/question/5982761

#SPJ1

\(\huge\text{Hey there!}\)

\(\large\text{4n + 19 + 3n - 2n - 5}\)

\(\large\text{COMBINE the LIKE TERMS}\)

\(\large\text{(4n + 3n - 2n) + (19 - 5)}\)

\(\large\text{4n + 3n - 2n}\\\large\text{4n + 3n = \bf 7n}\\\large\text{7n - 2n = \bf 5n}\)

\(\large\text{5n + (19 - 5)}\)

\(\large\text{19 - 5 = \bf 14}\)

\(\large\text{= \bf 5n + 14}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf Option C. 5n + 14}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

Step-by-step explanation:

to prove it right angle

square of largst side must be eqaul to the sum of two other sides.

so here 12 is largest and 11 and 5 are two other smallest sides of a triangle.

(12)^2=(11)^2+(5)^2

144=121+25

144=146

since the square of largest side is not equal to the sum of square of other two smaller sides it can be concluded that the given sides of a triangle does not form a right angled triangle.

Answer:

   20 miles

Step-by-step explanation:

first, draw a diagram. Then, use the pythagorean theorem to calculate.

Answer:

We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.

Step-by-step explanation:

σ = 1.40 ; σ² = 1.40² = 1.96

H0 : σ² = 1.96

H0 : σ² > 1.96

Given that:

Sample size, n = 12

Population Standard deviation, σ = 1.40

Sample standard deviation, s = 1.75

α = 0.01

The test statistic :

χ² = [(n-1)s²] ÷ σ²

χ² = [(12 - 1) * 1.75²] ÷ 1.40²

χ² = (11 * 3.0625) ÷ 1.96

χ² = 33.6875 / 1.96

χ² = 17.1875

χ² = 17.19

Using the Pvalue from Chisquare score calculator;

df = n - 1 ; 12 - 1 = 11

Pvalue ; χ²(17.19, 11) = 0.10238

Since Pvalue > α ; We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.

Constant variance, also known as homoscedasticity, is a statistical property where the variance of a variable is equal across all values of the variable.

This means that the variability of the variable is consistent, no matter what the value of the variable is. Mathematically, this is expressed by the formula:

Var(X) = σ^2

where Var(X) is the variance of the variable X, and σ^2 is the same across all values of X.

For example, if we look at the heights of a group of people, we may find that the variance of their heights is equal to 25 cm, no matter what the heights are. In this case, the variance of the heights is 25 cm, and this variance (25 cm) is the same for all the heights in the group.

Learn more about  Constant variance here :

https://brainly.com/question/29644611

#SPJ4

The solutions to the equation 5x²+14x=x+6 are x = 4/5 or x = -3 we solved by using quadratic formula

The given equation is 5x²+14x=x+6

We have to solve for x

Subtract x from both sides

5x²+13x=6

Subtract 6 from both sides

5x²+13x-6=0

Now we can use the quadratic formula to solve for x:

x = (-b ± √(b²- 4ac)) / 2a

where a = 5, b = 13, and c = -6.

Substituting these values and simplifying:

x = (-13 ±√(13²- 4(5)(-6))) / (2 × 5)

x = (-13 ± √289)) / 10

x = (-13 ± 17) / 10

So we get two solutions:

x = 4/5 or x = -3

Therefore, the solutions to the equation 5x^2 + 14x = x + 6 are x = 4/5 or x = -3.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

To know more about, line calculator, visit

https://brainly.com/question/30763905

#SPJ11