if K is the midpoint of JL, JK = 8x+11 and KL =14x-1 , find JL

Answer:

-5 , -3 , 0 , 4 , 5

Step-by-step explanation:

Negative numbers are always less than positive numbers.

Step-by-step explanation:

function 1 :

simple, you put 3 into every place of x and then calculate.

y = -4×3 + 2 = -12 + 2 = -10

function 2 :

the only one where we need to think a little.

so, x = 3.

from the center of the coordinate axes we go on the x-axis to 3.

from there we go up out down to intersect the line. then we look to the left to the y-axis and see what value we have there : -1

y = -1 when x = 3

function 3 :

the solution is already written there in full sight.

input = 3.

so, we look in the table. where is the line with input = 3 ?

it is the last but one line. what value is in the output column of that line ? -3

output = -3

The regression equation is y = 5.4763 + 0.0022x The predicted sweetness index for orange juice with 400 ppm of pectin is 6.3563.

The least squares line for the given data, we need to perform linear regression. Let's denote the dependent variable (sweetness index) as y and the independent variable (pectin concentration) as x.

From the provided data, we can use a statistical software or calculator to calculate the least squares line. The equation for the least squares line can be written as:

y = β₀ + β₁x

Using the given data, the regression equation is found to be:

y = 5.4763 + 0.0022x

Now let's interpret the coefficients β₀ and β₁ in the context of the problem:

β₀ represents the estimated sweetness index for orange juice that contains 0 ppm of pectin. In other words, it is the intercept of the regression line, indicating the baseline sweetness index when there is no pectin present.

β1 represents the estimated increase (or decrease) in the sweetness index for each 1-unit increase in pectin concentration (in ppm). It indicates the effect of pectin on the sweetness index of the orange juice.

Therefore, the correct interpretations are:

A) The regression coefficient β₀ is the estimated sweetness index for orange juice that contains 0 ppm of pectin.

A) The regression coefficient β₁ is the estimated increase (or decrease) in the amount of pectin (in ppm) for each 1-unit increase in the sweetness index.

Now let's predict the sweetness index if the amount of pectin in the orange juice is 400 ppm:

Using the regression equation: y = 5.4763 + 0.0022 × 400

Calculating: y = 5.4763 + 0.88

Predicted sweetness index = 6.3563 (rounded to four decimal places)

Therefore, the predicted sweetness index for orange juice with 400 ppm of pectin is 6.3563.

To know more about regression equation click here :

https://brainly.com/question/32759798

#SPJ4

Answer:

Step-by-step explanation:

If it grows by 9% each year, you can simply do the current population times 109%. Because its an additional 9%.

230,000*109% = 250,700

After the first year, there is a population of 250,700 people.

250,700*109% = 273,263

After the second year, there is a population of 273,263 people.

273,263*109% = 297,856.67

After the third year, there is a population of 297,856.67 people.

297,856.67*109% = 324,663.77

After the fourth year, there is a population of 324,663.77 people.

324,663.77*109% = 353,883.509

After the fifth year, there is a population of 353,883.509 people.

353,883.509*109% = 385,733.025

After the sixth year, there is a population of 385,733.025 people

Round it up to 385,733 people.

Answer:

Option 4

Step-by-step explanation:

Translating 1 unit down and 3 units left means to subtract 1 from the y coordinates and 3 from the x coordinates.

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's write in the point-slope form:

 \((y-y_0)=m(x-x_0)\)

Let's find the slope:

 \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

        ⇒ \(Slope=\frac{8--1}{4-1}=\frac{9}{3}=3\)

Let's gather what we know:

   Equation: \((y-y_0)=m(x-x_0)\\y+1=3(x-1)\)

The equation could also be written in slope-intercept form:

 ⇒ simply isolate y on one side

  \(y+1=3(x-1)\\y=3x-3-1\\y=3x-4\)

Answer:

  *Either answer works, just put the one that you are most familiar with

Hope that helps!

#LearnwithBrainly

Answer: y=3x-4

Step-by-step explanation:

Slope formula = (\(y_{1}\) - \(y_2\))/(\(x_1 - x_2\))

(-1-8)/(1-4) = (-9)/(-3) = 3

Slope = 3

Slope intercept formula = y=mx+b

m = slope = 3

y=3x+b

We can plug in x and y to find b

8=3(4)+b

8=12+b then subtract 12 from both sides

-4=b

Now we put it in

y=3x-4

Bar graph can best compare the number of school days in California, Kansas, Alabama, and Rhode island.

What is Bar graph?

A bar chart or bar chart is a chart or graph that represents categorical data in rectangular bars whose height or length is proportional to the value they represent. Bars can be drawn vertically or horizontally. Column charts are sometimes called vertical bar charts.

Bar charts show comparisons between discrete categories. One axis of the chart shows the specific category to be compared and the other axis represents the measured values. Some bar charts represent bars grouped into multiple groups to show values ​​for multiple measurement variables.

Therefore, Bar graph can best compare the number of school days in California, Kansas, Alabama, and Rhode island.

To know more about Bar graph, visit:

https://brainly.com/question/24741444

#SPJ1

Answer:

Step-by-step explanation:

1/5(x-6/5)=-51/25

1/5x-6/25=51/25

5/25x=57/25

5x=57

x=11.4

Answer:

10 months

Step-by-step explanation:

30x = 22x + 80

8x = 80

x = 10

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

for such more question on lengths

https://brainly.com/question/24176380

#SPJ8

Andualem needs to sell approximately 113 furniture pieces in order to break even.

To break even, Andualem needs to sell enough furniture to cover the total investment cost and the cost per item. By dividing the total investment cost by the profit per item, we can determine the volume of furniture Andualem needs to sell in order to break even.

To calculate the volume of furniture necessary for Andualem to break even, we need to consider the total investment cost and the cost per item.

The total investment cost includes the cost of plant and equipment, which is estimated to be $225,000. The cost per item includes labor, materials, packaging, and shipping, which amounts to $1,000 per item.

To break even, Andualem needs to cover both the total investment cost and the cost per item through the sale of furniture. The profit per item can be calculated as the selling price minus the cost per item, which is $3,000 - $1,000 = $2,000.

Now, to determine the volume of furniture necessary for Andualem to break even, we divide the total investment cost by the profit per item.

Volume = Total investment cost / Profit per item

Volume = $225,000 / $2,000

Volume = 112.5

Therefore, Andualem needs to sell approximately 113 furniture pieces in order to break even. It is important to note that the volume calculated is rounded up to the nearest whole number, as selling fractional furniture pieces is not feasible.

Learn  more about Break even here:

brainly.com/question/31774927

#SPJ11

Answer: x = 8c/d

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

s = \(\sqrt{81\\\) in.

Step-by-step explanation:

The last two answer don't fit into the given equation, leaving the first two.  For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.

If you're at all curious about what the square root of 81 is, it's 9.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

\( s = \sqrt{81} \: in\)

Step-by-step explanation:

\(\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in\)

Answer:

9x² - 36x + 35

Step-by-step explanation:

FOIL = First Outside Inside Last

Step 1: F

9x²

Step 2: O

15x

Step 3: I

-21x

Step 4: L

35

Step 5: Combine FOIL

9x² -15x - 21x + 35

Step 6: Combine like terms

9x² - 36x + 35

Answer:

\(\sf k =\dfrac{m-u}{g}\)

Step-by-step explanation:

             m = gk + u

              m - u = gk

              \(\sf \dfrac{m-u}{g}=k\)  

Making K the subject of formula in m = gk + u

Answer:

k=m-u/g

Step-by-step explanation:

m = gk + u

m-u/g = gk/g

k=m-u/g

k = m - u/g

Answer:

1,2,4,5

Step-by-step explanation:

Answer:

line DB, H, and D

Step-by-step explanation:

Answer:

  9xy² -6x²y +5x³

Step-by-step explanation:

You want the additive inverse of –9xy² + 6x²y – 5x³.

The additive inverse is the value that gives zero when added to the original. It can be formed by changing the signs of the terms in the sum:

  9xy² -6x²y +5x³

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

Learn more about limits of a function here:

https://brainly.com/question/2393546

#SPJ1

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

Learn more about subspace

brainly.com/question/30318872

#SPJ11

A critical value, z Subscript alphas is (c) z-score with an area of ?? to its left.

A critical value, denoted as z (Subscript α/2), is a point on the standard normal distribution curve, which is used in hypothesis testing. It helps to determine whether to accept or reject the null hypothesis. In this context, the critical value denotes the z-score with an area of ?? to its left, which represents the probability of observing a value more extreme than the critical value in the left tail of the distribution.

The critical value z Subscript α/2 signifies the z-score with an area of ?? to its left on the standard normal distribution curve, which is crucial for hypothesis testing.

To know more about probability, visit:

https://brainly.com/question/30034780

#SPJ11

Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

Learn more about zero here:

https://brainly.com/question/23961409

#SPJ11

Answer:

I'm pretty sure its 0...since anything multiplied by zero is 0

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The given table is not a probability distribution because the sum of probabilities is not equal to 1. Hence, the answer is no.

A probability distribution refers to the distribution of probabilities of all possible outcomes of an event. In other words, it is the set of all probabilities of an event.

In a probability distribution, the probability of each event is greater than or equal to zero, and the sum of probabilities of all events is equal to one. That is, P (A1) + P (A2) + ... + P (An) = 1, where A1, A2, …, An are all the possible events of an experiment.

The given table is not a probability distribution because the sum of probabilities is not equal to 1. Here, P(a) = 0.1723 + 0.3013 + 0.2466 + 0.0493 + 0.2305 = 1. This condition is satisfied. But it is not a probability distribution because each probability must be greater than or equal to zero. Here, the probability of event 4 is 0.0493 which is less than zero.

Hence, the answer is no.

To know more about probability distribution, refer here

https://brainly.com/question/14210034#

#SPJ11

Answer:

x-$25.24 -5.14- 5 x

Step-by-step explanation:

Answer:

A=80 , B=65, C=35

Step-by-step explanation:

A-B=15 ⇒A=B+15

B-C=30⇒-C=30-B ⇒C=B-30

the sum of angle of a triangle = 180

A+B+C=180 ( substitute A and C)

B+15+B+B-30=180

3B-15=180

3B=180+15

B=195/3=65

C=B-30 ⇒ C=65-30=35

A=B+15=65+15=80

check : A+B+C=180

             80+65+35=180 ( correct)

I substituted x' value as square numbers so we don't get irrational or decimal number as y's value.

Now,

plot (9,3) , (4,2), (36,6), (25,5) and (49,7) in the graph and join them.

The solutions to the equation 2xy - 10x = 9 are x = 1/2 and y = 5, and x = 9/2 and y = 6.

The equation 2xy - 10x = 9 can be written as 2xy - 10x - 9 = 0.

This equation can be factored as (2x - 1)(y - 6) = 0.

From this, we can see that the solutions to this equation must satisfy either 2x - 1 = 0 or y - 6 = 0.

If 2x - 1 = 0, then x = 1/2. Substituting this into the original equation yields 2 × 1/2 × y - 10 × 1/2 = 9, which simplifies to y - 5 = 0. Thus, a solution is x = 1/2 and y = 5.

If y - 6 = 0, then y = 6. Substituting this into the original equation yields 2x × 6 - 10x = 9, which simplifies to 12x - 10x = 9, or 2x = 9. Thus, a solution is x = 9/2 and y = 6.

Therefore, the solutions to the equation 2xy - 10x = 9 are x = 1/2 and y = 5, and x = 9/2 and y = 6.

Learn more about equation here:

https://brainly.com/question/29657992

#SPJ4

Answer:

52 units squared

Step-by-step explanation:

Since each square in the grid is 1 unit, we can just find the area of all the rectangles and add them up.

First off, let's take a look at the left-most rectangle. It has a length of 4 units and a width of 2 units. The area of that rectangle is 8 units squared. This can also be achieved by counting the number of squares in the rectangle.

Follow this process for all 6 rectangles.

8 + 6 + 6 + 12 + 8 + 12 = 52

Answer:

52 units

Step-by-step explanation:

[] First, we will assume that each square in the grid is equal to one unit.

-> You can count each square in the shape which leads to 52, but I have provided the mathematical way below

[] Since this is a rectangular prism we know we will need to find the area of 6 rectangles for the total surface area.

[] Using the numbers they gave us, and thinking of the layout of a rectangular prism, we can find the side lengths of each rectangle.

-> See attached for my work on this step, it is shown in red

[] We can then do the multiplication for the area of each rectangle, and add them together.

-> For a quadrilateral, L * W = A

        - L is length

        - W is width

        - A is area

-> See attached for my work on this step, it is shown in blue

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather