Change 12 out of 40 to a percentage

The equation of the line in slope-intercept form with a y-intercept at (0, -2) and a slope of -2 is y = -2x - 2.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.

Given that the y-intercept is (0, -2) and the slope is -2, we can substitute these values into the equation.

The y-intercept (b) is -2, which means that when x = 0, y = -2.

Therefore, the equation becomes:

y = -2x - 2

So, the equation of the line in slope-intercept form with a y-intercept at (0, -2) and a slope of -2 is y = -2x - 2.

Read more on equation of a line here:https://brainly.com/question/18831322

#SPJ1

The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

for such more question on speed

https://brainly.com/question/13943409

#SPJ11

Answer:

x=4

y=2

Step-by-step explanation:

x+8y=20

4x−y=14

​To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

x+8y=20,4x−y=14

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x+8y=20

Subtract 8y from both sides of the equation.

x=−8y+20

Substitute −8y+20 for x in the other equation, 4x−y=14.

4(−8y+20)−y=14

Multiply 4 times −8y+20.

−32y+80−y=14

Add −32y to −y.

−33y+80=14

Subtract 80 from both sides of the equation.

−33y=−66

Divide both sides by −33.

y=2

Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.

x=−8×2+20

Multiply −8 times 2.

x=−16+20

Add 20 to −16.

x=4

The system is now solved.

x=4,y=2

Answer: D

Step-by-step explanation:

Got it right on EDG 2020

Answer:

the 3rd answer is the one which can actually form a proper plot off of that sentence

Answer:

The 3rd choice

Cinderella we know is the name of a princess in a story not a plot.

"In the woods" doesn't completely describe a plot.

so the answer is "The big bad wolf wants to eat the pigs, so he blows down their houses."

Answer:

a=# of apples

3/8(a)=# of oranges

p=# of pears

3/4(p)=# of oranges

(3/8)a=(3/4)p

(3/8)/(3/4)=p/a

(3/8)(6/8)=p/a

3/6=p/a

1/2=p/a

the ratios of pears to apples is 1 to 2

for every 1 pear there are 2 apples

if there are 4 pears there are 8 apples

there are 8 apples

(3/8)(8)=3 oranges

there are 4 pears

(3/4)(4)=3 oranges again

8 apples, 3 oranges, 4 pears

15 pieces of fruit and 3 are oranges

ratio is 3/15=1/5

Answer:

−19√2

Decimal Form:

−26.87005768…

Step-by-step explanation:

Answer:

He will need to pay Josue back 40 dollars I did this question before mark me brainliest

Step-by-step explanation:

Answer:

X is parent 1

z is parent 2

y is parent 3

Answer:

g(f(-7) = -6

Step-by-step explanation:

1) a composite function is a function inside of a function where you first must look at the inside function before the outside function

2) the inside function we must first look at is f(-7) and visually compare the function to the y = f(x) graph where x = -7

3) where is x = -7 is when y = -3 so than stated in the rules of composite functions, the function then becomes replaced with the y-value

4) the function then becomes g(-3) and one must look at the y = g(x) function and g(-3) = -6

Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

for more such question on linear equation visit

https://brainly.com/question/28732353

#SPJ8

(a) the cylindrical coordinates of the point (−2, 2, 2) are (2√2, -π/4, 2). (b) the cylindrical coordinates of the point (-9,9sqrt(3),6) are (9, π/3, 6). (c) Without a specific point given, we cannot provide cylindrical coordinates.

(a) To change from rectangular to cylindrical coordinates, we need to find the values of r, θ, and z. We know that r is the distance from the origin to the point in the xy-plane, which can be found using the Pythagorean theorem as r = √(x² + y²). In this case, r = √(4 + 4) = 2√2. We can find θ using the arctangent function, which gives θ = arctan(y/x) = arctan(-2/2) = -π/4 (since the point is in the third quadrant). Finally, z is simply the z-coordinate of the point, which is 2. Therefore, the cylindrical coordinates of the point (−2, 2, 2) are (2√2, -π/4, 2).
(b) To change from rectangular to cylindrical coordinates, we again need to find r, θ, and z. We have r = √(x² + y²) and θ = arctan(y/x), so we just need to find z. In this case, z = 6. To find r and θ, we can use the fact that the point lies on the plane y = √3x. Substituting this equation into the expression for r, we get r = √(x² + 3x²) = x√4 = 2x. Solving for x, we get x = r/2. Substituting this into the equation for y, we get y = √3(r/2) = r√3/2. So θ = arctan(y/x) = arctan(√3/2) = π/3. Therefore, the cylindrical coordinates of the point (-9,9√(3),6) are (9, π/3, 6).

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

a) The trinomial 2x² + 4x - 48 can be factored as (2x - 8)(x + 6).

b) The trinomial -3x² + 18x + 21 can be factored as -3(x - 3)(x + 1).

c) The trinomial -4x² - 20x + 96 can be factored as -4(x + 4)(x - 6).

d) The trinomial 0.5x² - 0.5 can be factored as 0.5(x - 1)(x + 1).

e) The trinomial -2x² + 24x - 54 can be factored as -2(x - 3)(x - 9).

f) The trinomial 10x² + 30x - 280 can be factored as 10(x - 4)(x + 7).

a) To factor 2x² + 4x - 48, we need to find two numbers whose product is -48 and whose sum is 4. The numbers are 8 and -6, so we can factor the trinomial as (2x - 8)(x + 6).

b) For -3x² + 18x + 21, we need to find two numbers whose product is 21 and whose sum is 18. The numbers are 3 and 7, but since the coefficient of x² is negative, we have -3(x - 3)(x + 1).

c) The trinomial -4x² - 20x + 96 can be factored by finding two numbers whose product is 96 and whose sum is -20. The numbers are -4 and -6, so we have -4(x + 4)(x - 6).

d) To factor 0.5x² - 0.5, we can factor out the common factor of 0.5 and then apply the difference of squares. The result is 0.5(x - 1)(x + 1).

e) For -2x² + 24x - 54, we can factor out -2 and then find two numbers whose product is -54 and whose sum is 24. The numbers are 3 and 9, so the factored form is -2(x - 3)(x - 9).

f) The trinomial 10x² + 30x - 280 can be factored by finding two numbers whose product is -280 and whose sum is 30. The numbers are 4 and -7, so the factored form is 10(x - 4)(x + 7).

To learn more about trinomial  Click Here: brainly.com/question/16347049

#SPJ11

\(\frac{1}{2}(4x-8)=\frac{1}{2}\cdot4x-\frac{1}{2}\cdot8=2x-4\)

Hope this helps :)

\(\frac{1}{2}(4x-8)=\frac{1}{2}\cdot4x-\frac{1}{2}\cdot8=\\\\=\frac{4x}{2}-\frac{8}{2}=\boxed{2x-4}\)

Answer:

Plot a point at the y-intercept.

In your case, you will need to plot 2 (y-intercept) on the graph first.

Answer:

30

Step-by-step explanation:

30

The median of X is 1;  P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and  the value of q such that P(X < q) = 0.95 is 1.9.

(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.

Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.

For 0 < x < 2, the CDF is:

F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x

Setting (1/2) * x = 0.5 and solving for x:

(1/2) * x = 0.5;  x = 1

Therefore, the median of X is 1.

(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.

For x > 2, the PDF is 0, so P(X > x) = 0.

Therefore, P(X > 2) = 0.

(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.

P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)

Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.

Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.

(d) The variance of X can be calculated using the formula:

Var(X) = E(X²) - [E(X)]²

To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:

E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3

To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:

E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Now we can calculate the variance:

Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33

Therefore, Var(X) is approximately 0.33.

(e) The expected value of X, E(X), is given by:

E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Therefore, E(X) is 1.

(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:

∫(0 to q) f(x) dx = 0.95

Since the PDF is constant at 1/2 for 0 < x < 2, we have:

(1/2) * (x) | (0 to q) = 0.95

(1/2) * q = 0.95

q = 0.95 * 2 = 1.9

Therefore, the value of q such that P(X < q) = 0.95 is 1.9.

Learn more about cumulative distribution function here:

https://brainly.com/question/30402457

#SPJ11

Based on the provided information, three possible aggregate plans for SureStep Company are:

Level Plan: Produce a constant number of shoes each month to match the average demand over the four months.

Chase Plan with Overtime: Adjust the workforce level each month to match the demand exactly, utilizing overtime when necessary.

Chase Plan without Overtime: Adjust the workforce level each month to match the demand exactly, without using overtime.

To determine the best aggregate plan, we need to evaluate each plan based on the given criteria. Let's analyze each plan in detail:

Level Plan:

In this plan, SureStep Company produces a constant number of shoes each month to match the average demand over the four months. This means the product will be 4,750 pairs of shoes per month ([(3000+5000+2000+1000)/4]). By using a level plan, SureStep aims to have a stable production rate and maintain a steady workforce.

Chase Plan with Overtime:

In this plan, SureStep adjusts the workforce level each month to match the demand exactly. The company utilizes overtime when necessary to meet the demand. By hiring or firing workers, they can achieve the required workforce level. The number of workers required each month is calculated by dividing the demand for that month by the regular working hours per worker (160 hours) and rounding it up to the nearest whole number. If the demand exceeds the capacity even with regular working hours, overtime is used.

Chase Plan without Overtime:

Similar to the Chase Plan with Overtime, SureStep adjusts the workforce level each month to match the demand exactly. However, in this plan, overtime is not utilized. The number of workers required each month is calculated the same way as in the previous plan, but if the demand exceeds the capacity even with regular working hours, the excess demand is back-ordered.

To decide which plan to follow, we need to consider various factors such as costs, customer satisfaction, and overall company objectives. Here are some points to consider:

Level Plan: This plan provides a consistent production rate and helps in managing inventory levels efficiently. However, it may result in higher holding costs due to excess inventory. Also, it may lead to customer dissatisfaction if there are significant variations in demand during the four months.

Chase Plan with Overtime: This plan allows SureStep to meet the exact demand each month by adjusting the workforce level and utilizing overtime when necessary. It helps in minimizing holding costs and back-ordering costs. However, overtime labor costs and the cost of hiring/firing workers should be considered. It may also lead to potential employee fatigue due to overtime work.

Chase Plan without Overtime: This plan aims to meet the exact demand each month without utilizing overtime. It helps in minimizing overtime labor costs but may result in higher back-ordering costs and potential customer dissatisfaction due to delayed deliveries.

Based on the specific cost and customer satisfaction preferences of SureStep Company, the operations manager needs to evaluate the trade-offs and select the most suitable aggregate plan. The decision may involve analyzing the financial impact, evaluating customer service levels, and considering the company's overall strategy and goals.

For more questions like Company click the link below:

https://brainly.com/question/30532251

#SPJ11

We will prove that T(n) = O(n^4) by showing that there exist constants c and n0 such that for all values of n greater than or equal to n0, T(n) is bounded above by c times n^4.

To prove that T(n) = O(n^4), we need to find constants c and n0 such that for all n greater than or equal to n0, T(n) is less than or equal to c times n^4.

Given T(n) = 6n^4 + 5n^3 + 6n^2 + 2n + 99, we can observe that the term with the highest power of n is 6n^4. Therefore, we can choose c = 7 (a constant greater than the coefficient of the highest power term) and n0 = 1. Now, for all n greater than or equal to 1, we have:

T(n) = 6n^4 + 5n^3 + 6n^2 + 2n + 99

≤ 6n^4 + 5n^4 + 6n^4 + 2n^4 + 99 (since n^4 > n^3, n^2, n, 1 for n ≥ 1)

= 19n^4 + 99

≤ 7n^4 (for n ≥ 1 and c = 7)

Therefore, we have shown that for all values of n greater than or equal to n0 = 1, T(n) is bounded above by c = 7 times n^4. Thus, T(n) = O(n^4).

Note: The specific values of the constants c and n0 may vary depending on the specific form of the function T(n), but the approach to proving the big-O notation remains the same by selecting appropriate values to establish the upper bound.

Learn more about Big-O here:

https://brainly.com/question/27985749

#SPJ11

The cost of materials for the least expensive such container is 245.31 dollars .

Suppose the width of container is x (m),

length of the base of container is 2x (m)

the base area of container is (length × width)sq. m i.e 2x² meter².

Since the volume of container is 10 m³.

the height of container = area of container/ volume of container

height of container= 10/2x² m = 5/x² m

The cost of making such container is cost of base = 2x²*10 = 20x².

cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x

The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x

The get the minimum,

df(x)/dx = 20×(2x - 9/x²) = 0

so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m

f(x) = 245.31 dollars

To learn more about Maxima or minima, refer:

https://brainly.com/question/14378712

#SPJ4

Using an arithmetic sequence, it is found that the total length of wood required to make 50 rungs is of 34.6875 m.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n-1)d\)

The sum of the first n terms is given by:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

In this problem:

Then the 50th term is:

\(a_50 = a_1 + (n-1)d = 1 - 0.0125(49) = 0.3875\)

The total length is the sum of the first 50 terms, hence:

\(S_{50} = \frac{50(1 + 0.3875)}{2} = 25(1.3875) = 34.6875\)

The total length of wood required to make 50 rungs is of 34.6875 m.

You can learn more about arithmetic sequence at https://brainly.com/question/6561461

Answer:

\( = \frac{2.408 \times {10}^{24} }{6.02 \times {10}^{23} } \\ = 4\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

2.408 x 10²⁴  divided by 6.02 x 10²³ is 4

A division is a process of splitting a specific amount into equal parts.

We have to divide 2.408 x 10²⁴ by  6.02 x 10²³

Two point four zero eight into ten to the power of twenty four by six point zero two into ten to the power of twenty three.

2.408 x 10²⁴/6.02 x 10²³

Firstly let us divide the decimal numbers

0.4×10²⁴/10²³

The exponential digit in denomiantor turns to negative numerator

0.4×10²⁴⁻²³

Zero point four into ten

0.4×10

4

Hence we get four when we divide 2.408 x 10^24 by 6.02 x 10^23

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ2

Answer:

it's 4 1/3

Step-by-step explanation:

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

A number line which shows -4, -1, 1, and 2 correctly plotted on a graph is shown in the image attached below.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0). Therefore, the numerical values -4 and -1 would be plotted on the left hand side of zero (0) while the numerical values 1 and 2 would be plotted on the right hand side of zero (0) using a number line.

In this scenario, a number line would be used for the comparison of two or more numbers such as -4, -1, 1, and 2, and this is plotted in the graph shown in the image attached below.

Read more on number line here: brainly.com/question/17325155

#SPJ1

Answer:

\(a^{2} - b^{2}\) = 10, a/3 = b/12, a(2 + 1) = 3a

Step-by-step explanation:

An equation is anything which has a '='

If I were to hypothesize that communication students will have a higher average score on the oral communication measures,

I would have a research hypothesis. A research hypothesis is a statement that is used to explain a relationship between two or more variables,

in this case, the relationship between being a communication student and having a higher score on oral communication measures.

The hypothesis can then be tested through research and analysis of data to determine if there is a significant correlation between the two variables. In order to fully test this hypothesis,

it would be necessary to gather data on both communication students and non-communication students and compare their scores on oral communication measures.

learn more about communication here:brainly.com/question/22558440

#SPJ11