Heres an ez question for yall
Which of the following sets could be the sides of a right triangle
{5, 8, 12}
{3, 5,\(\sqrt\\ 34\) }
{2, 3, \(\sqrt{} 34\) }

Answer:

it is D

Step-by-step explanation:

According to the given statement the total deposited into the employee's fund in the first year would be $7,515.

To calculate how much would be deposited into the employee's fund in the first year, we need to add the amount deducted from the worker's salary (7.7%) and the additional contribution made by the company (9%).

Step 1:

Calculate the amount deducted from the worker's salary:

7.7% of the worker's salary = (7.7/100) * 45,000

Step 2:

Calculate the additional contribution made by the company:

9% of the worker's salary = (9/100) * 45,000

Step 3:

Add the two amounts to find the total deposited into the fund:

Total deposited into the fund = Amount deducted from the worker's salary + Additional contribution made by the company

In the first year, an employee with a starting salary of $45,000 would have $3,465 deducted from their pay and deposited into their retirement fund.

Additionally, the company would contribute $4,050 to the fund.

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Answer: 32

Step-by-step explanation: 4/2=2 16*2=32

Answer:

16

Step-by-step explanation:

since -4 is being squared, we can write it out as -4 * -4, to get us the answer 16. this answer is positive because a negative times a negative will cancel out and = a positive.

The length of the fence around the triangular land is equal to 180 meters.

The perimeter of a figure is the sum of the side lengths of the figure. Triangles have three sides and we need to determine the perimeter of the triangular land. If we know that l₁ = 55 meters, l₂ = 60 meters and l₃ = 65 meters, then the perimeter of the figure is:

p = l₁ + l₂ + l₃

p = 55 m + 60 m + 65 m

p = 180 m

The length of the fence around the triangular land is equal to 180 meters.

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Answer:

y=2x-11

Step-by-step explanation:

Answer:

  B. The product of the slopes of two of the sides is −1.

Step-by-step explanation:

You want to know what verifies that points D(-2,2), E(2,5), and F(5,1) are the vertices of a right triangle.

The slopes of the line segments of interest are ...

  m = (y2 -y1)/(x2 -x1)

  m1 = (5 -2)/(2 -(-2)) = 3/4 . . . . . . slope of DE

  m2 = (1 -5)/(5 -2) = -4/3 . . . . . . . . slope of EF

The product of the slopes of these lines is ...

  m1·m2 = (3/4)(-4/3) = -12/12) = -1

This product means the lines are perpendicular. A triangle with perpendicular sides is a right triangle.

We know ∆DEF is a right triangle because the product of the slopes of two of the sides is -1.

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Answer:

The product of the slopes of two of the sides is -1.

Step-by-step explanation:

I got the answer right in edmentum.

Answer:

11n

Step-by-step explanation:

n + 11 are not like factors so they can not simplify any more

Answer: \(x=\frac{5 \pm \sqrt{10}}{3}\)

Step-by-step explanation:

\(3x^2 - 10x+5=0\\\)

Here, a=3, b=-10, and c=5.

\(x=\frac{-(-10) \pm \sqrt{(-10)^{2}-4(3)(5)}}{2(3)}\\\\x=\frac{10 \pm \sqrt{40}}{2(3)}\\\\\boxed{x=\frac{5 \pm \sqrt{10}}{3}}\)

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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For the poset or the ordered set given in question

a) The maximal elements are 27, 48, 60, and 72.

b) The minimal elements are 2 and 9.

c) There exists no greatest element.

d) There exists no least element.

e) The upper bounds of {2, 9} are 18, 36, and 72.

f) The least bound of {2, 9} is 18.

g) The lower bounds of {60, 72} are 2, 4, 6,  and 12.

h) The greatest lower bound of {60, 72} is 60.

A poset is a partially ordered set that helps to establish and expand the logical idea of an ordering and arrangement of elements of a set.

In a poset we can find the greatest, least, upper bounds,

An element a of x will be the maximal element provided that there exists no b ∈ x such that a < b.

An element a of x will be the minimal element provided that there exists no b ∈ x such that b < a.

An element a of x will be the greatest element provided that b ≤ a for all b ∈ x.

An element a of x will be the least element provided that a ≤ b for all b ∈ x.

To find the upper bound of the set {2, 9}, with respect to the poset, is to find all of the elements that both 2 and 9 divides. These elements are 18, 36, and 72.

To find the least upper bound of the set {2, 9} is to consider the upper bounds, and find the one that divides the others.

To find the lower bounds of the set {60, 72}, with respect to the poset, is to find the elements that divide into 60 and 72. These elements are 2, 4, 6, and 12.

To find the greater lower bound of the set {60, 72}, is to consider the lower bounds, and see which one is divisible by them all.

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Answer:

900

Step-by-step explanation: It is already at 3 significant figures so you would take the number next to the first number and round down if it is below 5

Answer:

x = 5

Step-by-step explanation:

set JN and NL equal to each other...

14x – 17 = 3x + 38

11x = 55

x = 5

a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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The solution set to the given inequality is

(-∞, -4) U (2,∞)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

5(x – 2)(x + 4) > 0

First we solve for x, we replace the inequality sign by = sign

5(x – 2)(x + 4) = 0

Divide both sides by 5

(x – 2)(x + 4) = 0

Now we set each factor =0  and solve for x

x-2 =0 , so x= 2

x+4 =0, so x= -4

Now we use number line and make three intervals

First interval -infinity to -4

second interval -4 to 2

third interval 2 to infinity

Now we check each interval with our inequality

First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5

5(-5 – 2)(-5 + 4) > 0

35>0 is true

second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0

5(0– 2)(0 + 4) > 0

-40>0 is false

Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3

5(3 – 2)(3 + 4) > 0

35>0 is true

solution set are the intervals that make the inequalities true

(-∞, -4) U (2,∞)

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Question:

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

Two positive angles that have a sum of π/2 radians are complementary angles, whereas two positive angles that have a sum of π radians are supplementary angles.

Complementary angles are two angles whose measures add up to a right angle, which is equal to π/2 radians or 90 degrees. In other words, if α and β are complementary angles, then α + β = π/2.

Supplementary angles, on the other hand, are two angles whose measures add up to a straight angle, which is equal to π radians or 180 degrees. If α and β are supplementary angles, then α + β = π.

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using standard z value, 20% of sandwiches are less than 10.58 inches.

In the given question,

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.

20% of sandwiches are less than...............inches.

The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.

From the question we know that

Mean(μ) = 11 inches

Standard Deviation(σ) = 0.5 inches

We have to find less than of 20% of sandwiches for z value of -0.84

P(ƶ<z) = 20%

We can write it as

P(ƶ<-0.84) = 20/100

P(ƶ<-0.84) = 0.20

Since z = -0.84

X-μ/σ = -0.84

Now putting the value

X-11/0.5 = -0.84

Multiply by 0.5 on both side

X-11/0.5 *0.5= -0.84*0.5

X-11= -0.42

Add 11 on both side

X-11+11= -0.42+11

X = 10.58

Hence, 20% of sandwiches are less than 10.58 inches.

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Right question is here

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)

(a) 11.500

(b) 11.42

(c) 10.58

(d) cannot be determined from the information given

The definite integral for which is a right rectangle approximation is given by `∫f(x)dx ≈ 10k + 8`. Given a function `f(x) = k + 4/2 + 4k + 4/2`. We need to find the definite integral using right rectangle approximation.For this, we will use the Right Rectangle Approximation method.Right Rectangle Approximation:

This method approximates the area under a curve by summing the areas of rectangles whose height is determined by the function at the right endpoint of each interval and whose width is the width of the subintervals.

To get the main answer, we will need to follow these steps:Step 1: Calculate the width of the subintervals`Δx = (b-a)/n`where `n` is the number of rectangles, `a` is the lower limit of the integration, and `b` is the upper limit of the integration.Step 2: Determine the `x` values for each endpoint of the subintervals`x_i = a + iΔx`, for `i = 0, 1, 2, …, n`Step 3: Calculate the `y` values for each `x` value`y_i = f(x_i)`Step 4: Calculate the areas of each rectangle`A_i = y_iΔx`Step 5: Add up all the areas`∑A = A_0 + A_1 + A_2 + … + A_n-1`The right rectangle approximation is given by `∑A`.So, let's find the integral using the right rectangle approximation:Here, `f(x) = k + 4/2 + 4k + 4/2 = k + 2 + 4k + 2 = 5k + 4`Therefore, `∫f(x)dx = ∫(5k + 4)dx = [5kx + 4x] + C`Since we need to use right rectangle approximation, we need to divide the given interval into `n` subintervals of equal width.`Δx = (b-a)/n``Δx = (2-0)/n``Δx = 2/n`Now, determine the `x` values for each endpoint of the subintervals.`x_i = a + iΔx``x_0 = 0 + 0Δx = 0``x_1 = 0 + 1Δx = 2/n``x_2 = 0 + 2Δx = 4/n`And so on, until `x_n = 2`.The width of each rectangle is`Δx = 2/n`So, the area of each rectangle is given by `A_i = f(x_i)Δx`.The right endpoint for each interval is given by the formula `x_i = a + iΔx`, so the area of each rectangle is given by the formula`A_i = f(x_i)Δx``A_i = [5k + 4]Δx``A_i = [5k + 4] (2/n)`Therefore, the sum of all the areas is given by`∑A = A_0 + A_1 + A_2 + … + A_n-1``∑A = [5k + 4] (2/n) + [5k + 4] (2/n) + [5k + 4] (2/n) + … + [5k + 4] (2/n)``∑A = [5k + 4] Σ(2/n)``∑A = [5k + 4] (2/n)Σ1``∑A = [5k + 4] (2/n)(n)``∑A = [5k + 4] (2)``∑A = 10k + 8`Therefore, `∫f(x)dx ≈ 10k + 8`

Therefore, the definite integral for which is a right rectangle approximation is given by `∫f(x)dx ≈ 10k +8.

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Slope of equation y - 4 = -3/5(x+2) is -3/5.

A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y). When we need to find the equation of a straight line given a point on it and the slope of the line, we apply the formula for the point-slope form of an equation.

Given

Equation

y - 4 = -3/5(x+2)

Point slope form

y - y₁ = m(x - x₁)

Slope = m

Slope = -3/5

Slope of equation y - 4 = -3/5(x+2) is -3/5.

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The mean down time, considering the time required for transportation and repairs, is 9.5 hours.

To calculate the mean down time, we need to consider both the time required for transportation and the mean time to repair. The system takes 2 hours to transport from the field to the warehouse and has a mean time to repair of 7.5 hours.

The transportation time of 2 hours is a part of the overall down time because during transportation, the system cannot be used for its intended purpose. Therefore, the mean down time due to transportation is 2 hours.

After the system reaches the warehouse, it undergoes repairs, which have a mean time of 7.5 hours. During the repair process, the system is also unavailable for use. Hence, the mean down time due to repairs is 7.5 hours.

To calculate the total mean down time, we add the mean down time due to transportation (2 hours) to the mean down time due to repairs (7.5 hours). Therefore, the mean down time for the system is 9.5 hours (2 hours + 7.5 hours = 9.5 hours).

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The mode can indicate the most frequently occurring values in a data set, it may not be the most suitable measure of central tendency for continuous data like math test scores. Considering other measures like the mean or the median would provide a more informative representation of the data.

To determine if the mode is a good measure of central tendency for the given data set, we need to understand the characteristics of the data and the purpose of using a measure of central tendency.

The mode is the value that appears most frequently in a data set. It can be a useful measure of central tendency when dealing with categorical or discrete data, where identifying the most common category or value is meaningful. However, for continuous data, such as math test scores in this case, the mode may not always provide a comprehensive representation of the data.

In the given data set of math test scores for 20 students, there are multiple values that occur with the same highest frequency, such as 100, 90, and 85, each appearing three times. Therefore, we have multiple modes in this data set. While the mode can tell us which scores are most common, it does not provide information about the overall distribution of the scores or the spread of the data.

For this reason, in this particular scenario, the mode alone may not be the best measure of central tendency. It would be more appropriate to consider other measures, such as the mean or the median, which can provide a more comprehensive understanding of the data set by considering the average score or the middle score, respectively.

In summary, while the mode can indicate the most frequently occurring values in a data set, it may not be the most suitable measure of central tendency for continuous data like math test scores. Considering other measures like the mean or the median would provide a more informative representation of the data.

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Answer:

The best estimate of each owner share is 296

Step-by-step explanation:

Now, we know that that the profit was shared equally and we have 13 recipients of the share

The best estimate for each owner’s share is to divide the amount shared in the month by the number of the recipients

That would be 3,849/13 = 296.08

This is best estimated as 296

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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Answer: Slope: 2/3

Plug the equation into y2 - y1 / x2 - x1 and you should have the answer!

Step-by-step explanation:

An algebraic expression haa atleast one variable and operator sign such as (+,-,×,÷)

According to the question, an algebraic expression should be made from difference of 'a' and 'b'

so, the expression is (a - b) or a - b.

Hope it helps!!!!

Answer:

\((x,y) = ( 5 , - 7)\)

Step-by-step explanation:

we would like to solve the following system of linear equation by substitution:

\( \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}\)

notice that, we're already given the value of y therefore simply substitute it to the II equation

\(8x + 8(x - 12) = - 16\)

distribute:

\(8x + 8x - 96= - 16\)

simplify addition:

\(16 x- 96= - 16\)

isolate -96 to left hand side and change its sign:

\(16 x= - 16 + 96\)

simplify addition:

\(16 x= 80\)

divide both sides by 16 and that yields:

\( \boxed{x= 5}\)

now substitute the got value of x to the first equation:

\(y = 5- 12\)

simplify subtraction:

\(y = - 7\)

hence,

the solution is (x,y)=(5,-7)

Solve by substitution :

y = x - 12

8x + 8y = -16

y = x - 12 ------- eq(1)

8x + 8y = -16 ------- eq(2)

Finding x ⤵

Putting y = x - 12 in eq(2) we get

Finding y ⤵

Putting x = 5 in eq(1) we get

Hence, x is 5 and y is -7

Answer:

5.5

22/4=5.5

5.5 Feet or inches

Answer:

each section will be 5.5ft long. 22/4=5.5

Step-by-step explanation: