Someone help meeeee. I do not understand this work

Based on the properties of rectangles, the angles and the side lengths are KN = 11 and NLK = 32

From the question, we have the following parameters that can be used in our computation:

JN = 2x + 7, LN = 6x - 1

NKJ = 58 degrees

The diagonals or a rectangle are equal

So, we have

2x + 7 = 6x - 1

Evaluate the like terms

4x = 8

Divide

x = 2

So, we have

KN = 2 * 2 + 7

KN = 11

Adjacent angles in this case add up to 90 degrees

This gives

NLK = 90 - 58

Evaluate

NLK = 32

Hence, the measure of the angle is 32 degrees

Read more about rectangle at

https://brainly.com/question/25292087

#SPJ1

Answer:

Q1 y = 17/2x - 2

Q2 y = -3x + 14

Q3 y = 1/4x

Q4 y = 1/8x + 10

Step-by-step explanation:

See, the problem here is, you did everything to NOT convert the decimals into fractions. You would´ve had the right answers if you just learned to deal with the fractions. I´ll only going to be explaining 2 questions since there´s four of them.

Question Two

You take two points from the table, then you do y2 - y1 over x2 - x1.  -1 - 5 / 6 - 3 = -6/3 and 3 divided by -6 is -3. Which should give you "m" the slope. Which the slope for this question is -3. To find "b" our y-intercept, we will need to plug in the points from one of the two points we took in the chart into the format of y = mx + b. I chose to do, 5 = -3(3) + b. Multiply m times the x, 5 = - 9 + b. So now, we add 9 to itself to cancel itself out and add it to 5. Which gives us, 14 = b. So our equation is, y = -3x + 14

Question 3

This one is relatively easy, since looking at the table we know theres no b or m. Just a constant rate times x. The same thing we did the last question, take two points from the equation. y2 - y1 over x2 - x1. 1 - 0 over 4 - 0. Which gives us 1/4. 1/4 is our constant rate of change. y = 1/4x

The equation in slope intercept form to represent each table is

Learn more about Slope intercept form refer :

https://brainly.com/question/24907633

#SPJ2

Answer:

Number of absent student in decimal = 0.005

Step-by-step explanation:

Given:

Number of student = 1,000

Number of absent student = 5 / 1,000

Find:

Write number of absent student in decimal

Computation:

Number of absent student = 5 / 1,000

Number of absent student in decimal = 5 / 1,000

Number of absent student in decimal = 0.005

The derivate of a function f(x) is determinated as:

For the function

First we have to determine de f ( x + h ) as follow:

Then we calculate and simplify the coeficient in the first formula

------------------------------------------------------------------------------------The equation of the tangent:

First you need to know that the derivate of a function is equal to the slope (m) of the tangent of this function

And the equation to thist tangent in a specific point will be find using the next formula:

We have to calculate the slope in the point x =4 using the derivate:

In the point x=4

Calculate the value of f(x0) substituting in the function the given point x:

Knowing that we put the value of m and f(x0) in the equation of the tangent:

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

The normal line

The slope of the normal line is the opposite of the slope of theu tangent in an espesific point:

So in this situation is:

The equation of the normal line is given by the next formula:

Replacing the data we obtain:

The Electric field charge density (G) is 4.10 × 10^5 V/m.

To obtain the answer for Electric field charge density (G), use the formula below:

                                      E = σ/2πϵ₀d

        Where:E is electric fieldσ is the surface charge density d is the perpendicular distance between the point and the surface.ϵ₀ is the permittivity of free space.

In most textbooks, it is taken as 8.85 × 10^-12 C² N^-1 m^-2.

σ is a scalar quantity and has units of C/m². G is a scalar quantity and has units of V/m.

A scalar quantity is defined as a physical quantity with magnitude only and no direction.

To obtain the answer for Electric field charge density (G), use the formula below:

                              E = σ/2πϵ₀d

Now let's assume that the value of σ is 15 µC/m² and the value of d is 7 cm which is 0.07 m.

And the value of ϵ₀ is 8.85 × 10^-12 C² N^-1 m^-2.

Therefore, Electric field charge density (G) will be given as follows:G = Eσ=σ/2πϵ₀dG = (15 × 10^-6 C/m²)/(2π × 8.85 × 10^-12 C² N^-1 m^-2 × 0.07 m)G = 4.10 × 10^5 V/m

Therefore, the Electric field charge density (G) is 4.10 × 10^5 V/m.

Learn more about Electric field charge

brainly.com/question/22042360

#SPJ11

According to the Triangle Inequality Theorem, the sum of the lengths of two sides of a triangle is greater than the length of the third side of the triangle.

In this case, you know the lengths of two sides of the triangle, and you also know that "x" represents the length of the third side. Then, you can set up the following:

Solving the inequality, you get:

You can rewrite it as:

Hence, the answer is:

Answer:

$48

Step-by-step explanation:

= 20 x 240%

= 20 x 2.4

= 48

We will integrate over the region bounded by the curve and the x-axis, and between the limits of θ=0 and θ=2π. The resulting integral is evaluated as a definite integral to find the area of the region, which turns out to be 6π.

To find the area inside the curve r=3+sin(θ), we first need to find the limits of integration. The curve r=3+sin(θ) intersects the x-axis when r=0, which happens at θ=π. Therefore, we can integrate over the region between θ=0 and θ=2π, bounded by the curve and the x-axis.

Next, we need to express the area element dA in terms of polar coordinates. The area element in polar coordinates is given by dA=r dr dθ. Therefore, the double integral for the area inside the curve is:

A = ∫∫R r dr dθ

where R is the region bounded by the curve and the x-axis, and between the limits of θ=0 and θ=2π.

Substituting r=3+sin(θ) and performing the integration with respect to r first, we get:

A = ∫0^2π ∫0^(3+sin(θ)) r dr dθ

= ∫0^2π [(3+sin(θ))^2 / 2] dθ

= (1/2) ∫0^2π (9+6sin(θ)+sin^2(θ)) dθ

= (1/2) [9(2π) + 0 + π]

= 6π

Therefore, the area inside the curve r=3+sin(θ) is 6π.

To learn more about integrals click here: brainly.com/question/31433890

#SPJ11

To determine if the new fertilizer is effective, the farmer can use hypothesis testing, specifically a one-sample t-test. This test compares the mean yield of the corn crop using the new fertilizer to the historical mean yield of the corn crop using the old fertilizer.

1. Formulate hypotheses: Set up a null hypothesis (H0) stating that the fertilizer has no effect on yield, and an alternative hypothesis (H1) stating that the fertilizer increases yield.

2. Collect data: The farmer should divide his field into two sections - one with the new fertilizer and one without. He should then measure the corn yield from each section.

3. Determine the test statistic: Calculate the mean yield for each section and find the difference between them.

4. Set a significance level: Choose an acceptable level of Type I error (commonly 5%, represented as α = 0.05).

5. Calculate p-value: Using the appropriate statistical test (e.g., t-test or ANOVA), determine the probability of observing the calculated test statistic or a more extreme value, assuming the null hypothesis is true.

6. Compare p-value to α: If the p-value is less than α, reject the null hypothesis in favor of the alternative hypothesis, indicating that the fertilizer was effective in increasing corn crop yield.

Learn more about statistical method here : brainly.com/question/30365390

#SPJ11

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

Learn more about  number from

https://brainly.com/question/27894163

#SPJ11

The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.

These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.

Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.

Learn more about taxable income:

https://brainly.com/question/29800484

#SPJ4

Complete Question:

Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.

The standard notation of the given term is 70,000.

A form of writing a certain number, an equation, or an expression in a way that adheres to set norms is known as a standard notation.

Given a phrase

7 times 10 four square

so 10 four square is 10 to the power 4

10 four square = 10⁴

and 7 times 10⁴ = 7 x 10⁴

the standard form of 7 x 10⁴ is

10⁴ = 10,000

7 x 10⁴ = 7 x 10,000

7 x 10⁴ = 70,000

Hence standard form is 70,000.

Learn more about standard notations;

https://brainly.com/question/10253124

#SPJ1

I'm not going to write a story, but here are a few prompts and idea to use:

- person who lost their money to a gambling addiction

- person who had to deal with the expenses of an accident they were in

- person who lost thier success after a scandal and with their fame went their money

- or maybe someone who became a criminal who got caught, so they lost all their money

The series ∑3ke − k/28 is a divergent series.

To determine whether the series ∑3ke − k/28 converges or diverges, we can use the ratio test.

The ratio test states that if lim┬(n→∞)⁡|an+1/an|<1, then the series converges absolutely; if lim┬(n→∞)⁡|an+1/an|>1, then the series diverges; and if lim┬(n→∞)⁡|an+1/an|=1, then the test is inconclusive.

Let's apply the ratio test to our series:

|a(n + 1)/a(n)| = |3(n + 1) \(e^(^-^(^n^+^1^)/28) / (3n e^(^-^n^/^2^8^))|\)

= |(n+1)/n| * |\(e^(^-^1^/^2^8^)\)| * |3/3|

= (1 + 1/n) * \(e^(^-^1^/^2^8^)\)

As n approaches infinity, the expression (1 + 1/n) approaches 1, and \(e^(^-^1^/^2^8^)\) is a constant. Therefore, the limit of the ratio is 1.

Since the limit of the ratio test is equal to 1, the test is inconclusive. We need to use another method to determine convergence or divergence.

One possible method is to use the fact that \(e^x > x^2^/^2\) for all x > 0. This implies that \(e^(^-^k^/^2^8^)\) < \((28/k)^2^/^2\) for all k > 0.

Therefore,

|a(k)| = 3k \(e^(^-^k^/^2^8^)\) < 3k\((28/k)^2^/^2\)

= 42k/k²

= 42/k

Since ∑1/k is a divergent series, we can use the comparison test to conclude that ∑|a(k)| diverges.

Therefore, the series ∑3ke − k/28 also diverges.

Learn more about convergence or divergence

brainly.com/question/28202684

#SPJ11

Answer:

B and C are Quadratic Functions.

Step-by-step explanation:

Hello!

The degree in a quadratic function is 2, so a term can only be raised to the second degree for it to be quadratic.

The first option doesn't have a second degree, so it is not quadratic.

The second option has x raised to the second degree, so it is quadratic.

The third option has a term raised to the second degree, so it is quadratic.

The third option has a term raised to the 3rd degree, so it is not quadratic.

a) The appropriate sample size to achieve a margin of error of $0.10 with a confidence level of 91.5% is 111

b) The appropriate sample size to achieve a margin of error of $0.07 with a confidence level of 95.845% is 301

c) The appropriate sample size to achieve a margin of error of $0.05 with a confidence level of 97.268% is 543 integer).

a) To achieve a margin of error of $0.10 with a confidence level of 91.5%, the appropriate sample size can be calculated as follows:

Margin of error (E) = z* (standard deviation/√(n))

where z* is the z-value associated with the desired confidence level, and n is the sample size.

We can rearrange the formula to solve for n:

n = [(z* * standard deviation) / E]²

Substituting the given values:

z* = 1.70 (from the z-table for 91.5% confidence level)

Standard deviation = $0.25

E = $0.10

n = [(1.70 * 0.25) / 0.10]² = 110.25 ≈ 111 (rounding up to the nearest integer).

b) To achieve a margin of error of $0.07 with a confidence level of 95.845%, the appropriate sample size can be calculated as follows:

z* = 1.99 (from the z-table for 95.845% confidence level)

Standard deviation = $0.25

E = $0.07

n = [(1.99 * 0.25) / 0.07]² = 300.06 ≈ 300 (rounding up to the nearest integer).

c) To achieve a margin of error of $0.05 with a confidence level of 97.268%, the appropriate sample size can be calculated as follows:

z* = 2.34 (from the z-table for 97.268% confidence level)

Standard deviation = $0.25

E = $0.05

n = [(2.34 * 0.25) / 0.05]² = 542.52 ≈ 543 (rounding up to the nearest integer).

To know more about confidence level here

https://brainly.com/question/22851322

#SPJ4

Answer:

I don’t think it wanted a triangle

Step-by-step explanation:

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

Learn more about Equilibrium price

brainly.com/question/29099220

#SPJ11

Answer:

50%

Step-by-step explanation:

There are 8 tiles on the spinner, 4 of which are red.

4/8 = 1/2 - 50%

There is a 50% chance that the spinner will land on red.

The Olson family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Olson family drinks milk, we need to divide the amount of milk they drink by the time it takes them to drink it.

They use up a 1/2-gallon jug every 3 days, so their rate of milk consumption is:

(1/2 gallon) ÷ (3 days) = 1/6 gallon per day

A gallon is a unit of volume measurement commonly used in the United States and some other countries. There are different types of gallons, but the most commonly used ones are:

US liquid gallon (abbreviated as "gal" or "US gal"): This is a unit of volume used for measuring liquid substances. It is defined as exactly 3.785411784 liters or approximately 0.83267418 Imperial gallons.

For more such questions on gallon

https://brainly.com/question/29366756

#SPJ4

The probability of TJ pulling 2 white socks is 0.125 or 12.5%.

There are 16 socks in total, so the probability of the first sock being white is 6/16.

Since we are not replacing the first sock, there are now 15 socks left, including 5 white socks.

So the probability of the second sock being white, given that the first sock was white, is 5/15.

To find the probability of both events occurring, we multiply the probabilities:

P(white and white) = P(white on first draw) × P(white on second draw, given that the first was white)

P(white and white) = (6/16) × (5/15)

P(white and white) = 1/8

So the probability of pulling 2 white socks is 1/8 or approximately 0.125.

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

(1/7)/4

= (1/7) x 1/4

9514 1404 393

Answer:

  A, B, C

Step-by-step explanation:

Any variables in terms of a polynomial will have non-negative integer exponents. There will be no variables in a denominator, under a radical, or as the argument of a non-polynomial function.

Here, the -3 exponent in the last expression means that expression is not a polynomial. All of the others are polynomial expressions.

The equation of the parabola that has a vertex of (0, 1) and a vertical stretch factor of 2 and reflected over the x-axis is g(x) = - 2 · x² - 2.

By the standard equation of the parabola with a vertex constant of 1 and a vertex of (x, y) = (0, 1) is described by the following formula:

y - 1 = x²                                      (1)

Besides, we need to apply two transformation rules:

Vertical stretch

g(x) = k · f(x), where k > 1          (2)

Reflection over the x-axis

g(x) = - f(x)                                 (3)

If we know that k = 2, then the image of the original parabola is:

f(x) = x² + 1

By vertical stretch and reflection over the x-axis:

g(x) = - 2 · (x² + 1)

g(x) = - 2 · x² - 2

The equation of the parabola that has a vertex of (0, 1) and a vertical stretch factor of 2 and reflected over the x-axis is g(x) = - 2 · x² - 2.

To learn more on parabolae: https://brainly.com/question/4074088

#SPJ1

Answer:

Jon will have more money than Sara after 1 year . Jon will have 1440.738 dollars excess money than Sara

Step-by-step explanation:

As we know

Amount received after application of compound interest is calculated as

\(A = P (1+\frac{r}{n})^{nt}\)

For Jon

\(A = 4500(1+\frac{7}{4*100})^{4} \\A= 4823.366\)

Jon receives $ 4823.366 after one year

For Sara

\(A = 3250 (1+\frac{4}{365*100})^{365*1} \\A = 3382.628\)

Jon will have more money than Sara after 1 year . Jon will have 1440.738 dollars excess money than Sara

a)  The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

b) The coordinates of the vertex are (0.75, -5.125).

c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

\(2x^2 - 3x - 5 = 0\)

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))

x = (3 ± √(9 + 40)) / 4

x = (3 ± √49) / 4

x = (3 ± 7) / 4

This gives us two possible solutions:

x1 = (3 + 7) / 4 = 10/4 = 2.5

x2 = (3 - 7) / 4 = -4/4 = -1

Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.

To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:

x = -(-3) / (2(2))

x = 3 / 4

x = 0.75

To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):

f(0.75) = 2(0.75)^2 - 3(0.75) - 5

f(0.75) = 2(0.5625) - 2.25 - 5

f(0.75) = 1.125 - 2.25 - 5

f(0.75) = -5.125

Therefore, the coordinates of the vertex are (0.75, -5.125).

Part C: To graph the function f(x), we can follow these steps:

Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).

Plot the vertex obtained in Part B: (0.75, -5.125).

Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.

Extend the curve to the left and right of the vertex, ensuring symmetry.

Label the axes and any other relevant points or features.

By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).

For more such questions on intercepts visit:

https://brainly.com/question/24212383

#SPJ8

Answer:

y >= x/2 - 1

Step-by-step explanation:

the slope (rise/run) is 1/2 and the y-intercept is -1 so in point-slope form

y = x/2 - 1 but everything above the line (unshaded part) is valid so y is equal to or greater than.