This question is designed to be answered without a calculator. The solution of dy = 2√7 dx X passing through the point (-1, 4) is y = In? | +2. O in?]x+ 4. O (In)x + 2)2. [ O nx|+4)

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

The score she must get during the 6th game to have a mean of 12 point score per game is 22.

The mean is the average of numbers.

Mathematically, it is represented as follows;

mean = sum of terms / number of terms

Therefore, to get a mean of 12 point score per game the 6th score can be calculated as follows:

let

x = 6th score

Hence,

8 + 12 + 10 + 6 + 14 + x   / 6 = 12

50 + x / 6 = 12

cross multiply

12 × 6 = 50 + x

72 = 50 + x

72 - 50 = x

x = 22

Therefore, the score is 22.

learn more on mean here: https://brainly.com/question/26277430

Answer:

1. t<-2.

2. t>7

Step-by-step explanation:

2t<-4

t<-4÷2

t<-2

7t>49

t>49÷7

t>7

hope it helps ☺️

Quadratic equation for stream of water; (x-6)² = -36/5(y-5)

Using symmetry;

if (0,0) is taken as origin and maximum height is reached by stream at (6,5); the stream will strike the ground at (12,0);

Equation of a parabola whose mouth is open toward negative y- axis;

x² = -4ay

Parabola vertex shifted from (0,0) to (6,5);

(x-6)² = -4a(y-5);

Put x = 0, y = 0, as it lies on parabola;

36 = -4a(-5);

36 = 20a;

a = 36/20;

Quadratic equation for stream of water; (x-6)² = -36/5(y-5);

To learn more about the quadratic equation; visit: https://brainly.com/question/17177510

#SPJ4

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

We can find the total surface area of cubiod by summing up the area of the six faces of the cubiod:

Surface Area = 2(lw+ wh + hl)

Substituting the required values:

➝ Surface Area = 2(10 × 4.1) + (4.1 × 3.7) + (3.7 × 10)

➝ Surface area= 2(41 + 15.17 + 37)

➝ Surface Area = 2(93.17)

➝ Surface Area = 186.34 cm²

Hence,

Polynomial-time algorithm are: Sorting, Shortest path and maximum flow.

1. Sorting: Sorting involves arranging a list of elements in ascending or descending order. While there are many sorting algorithms, some of them are known to have a polynomial-time complexity. For example, the quicksort algorithm has an average-case complexity of O(n log n), making it a polynomial-time algorithm.

2. Shortest path: Given a graph with weighted edges, the shortest path problem involves finding the path between two vertices with the smallest total weight. The Dijkstra's algorithm is a polynomial-time algorithm that solves this problem efficiently.

3. Maximum flow: Given a network with nodes and edges, the maximum flow problem involves finding the maximum amount of flow that can be transported from a source node to a sink node. The Ford-Fulkerson algorithm is a polynomial-time algorithm that solves this problem efficiently.

All of these problems have polynomial-time algorithm because the time taken to solve them is proportional to a polynomial function of the input size. This means that as the size of the input increases, the time taken to solve the problem grows at a relatively slow rate, making these algorithms efficient.

Learn more about polynomial-time algorithm here:

https://brainly.com/question/31804504

#SPJ11

The true statement is "Overcast skies are more likely than hail or rain on Sunday."

The given forecast predicts a 40% probability for overcast weather, 30% for sunshine, 20% for hailstones, and 10% for rain on Sunday. To ascertain the veracity of each assertion, we must compare the likelihoods of each expected condition.

Therefore, the statement "Rain is more likely than hail on Sunday" is incorrect; as the data suggests that hail appears more prominently with a 20% chance while rain holds only 10%, indicating hail has a higher chance to occur.

Read more on probability here:https://brainly.com/question/24756209

#SPJ1

The given limit expression can be rewritten as the limit of a sum. By simplifying the expression and applying the limit properties, the correct answer is option B, \(\(\infty\)\).

The given limit expression can be written as:

\(\(\lim {n \rightarrow \infty} \sum{i=1}^{n} \frac{n+1}{n}\)\)

Simplifying the expression inside the sum:

\(\(\frac{n+1}{n} = 1 + \frac{1}{n}\)\)

Now we have:

\(\(\lim {n \rightarrow \infty} \sum{i=1}^{n} \left(1 + \frac{1}{n}\right)\)\)

The sum can be rewritten as:

\(\(\lim {n \rightarrow \infty} \left(\sum{i=1}^{n} 1 + \sum_{i=1}^{n} \frac{1}{n}\right)\)\)

The first sum simplifies to (n) since it is a sum of (n) terms each equal to 1. The second sum simplifies to \(\(\frac{1}{n}\)\) since each term is \(\(\frac{1}{n}\).\)

Now we have:

\(\(\lim _{n \rightarrow \infty} (n + \frac{1}{n})\)\)

As (n) approaches infinity, the term \(\(\frac{1}{n}\)\) tends to 0. Therefore, the limit simplifies to:

\(\(\lim _{n \rightarrow \infty} n = \infty\)\)

Thus, the correct answer is option B,\(\(\infty\)\).

To learn more about the limit visit:

brainly.com/question/30339390

#SPJ11

The key phrase in this question is "leading term equals x3," "highest coefficient is 2," and "1 is a fixed integer."

A polynomial is a mathematical operation with factors and uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x Plus 7. The word "polynomial" refers to an expression in mathematics that consists of variables (also referred to as "indeterminates") and coefficients that can be introduced, subtracted, repeated, and raised to minus integer ones of non-variables. A polynomial is an algebraic expression with factors and coefficients. Only addition, deduction, multiplication, and non-negative numerical exponents are permitted in expressions. The term for these expressions is polynomials.

given

Given  circumstance;

Any equation, like 2x³ + 3x + 1,

This is how the equation is written:  ax³ + bx + c

In this case, a = dominating Coefficient;

leading term Equals x³ 

Constant term Means

The key phrase in this question is "leading term equals x3," "highest coefficient is 2," and "1 is a fixed integer."

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1

The area of the semi circle are as follows:

a. 9.81 inches²

b, 16.08 inches²

The area of the semi circle can be found as follows:

area of a semi circle = 1 / 2 πr²

where

Therefore, let's find the area of the semi circle as follows:

a.

area of the semi circle =  1 / 2 πr²

r = 5  / 2 = 2.5 inches

area of the semi circle =  1 / 2 × 3.14 × 2.5²

area of the semi circle =  19.625 / 2

area of the semi circle = 9.8125 inches²

area of the semi circle = 9.81 inches²

b.

area of the semi circle =  1 / 2 πr²

r = 6.4  / 2 = 3.2 inches

area of the semi circle =  1 / 2 × 3.14 × 3.2²

area of the semi circle =  32.1536 / 2

area of the semi circle = 16.0768 inches²

area of the semi circle = 16.08 inches²

learn more on area here: https://brainly.com/question/29072945

#SPJ1

Answer:

No,  When we divide both sides by -5 we get lxl = -8.  We cannot have an absolute value of a negative number.

Step-by-step explanation:

To calculate the cost using data from watts produced and watts per unit cost, you can follow these steps:

Determine the total watts produced: Multiply the watts produced by the number of units. Total Watts = Watts Produced × Number of Units

Calculate the cost per unit of electricity: Divide the total watts by the watts per unit cost. Cost per Unit = Total Watts / Watts per Unit Cost

Calculate the total cost: Multiply the cost per unit by the number of units. Total Cost = Cost per Unit × Number of Units

Here's an example to illustrate the calculation:

Let's say you have 10 solar panels, and each panel produces 200 watts. The cost per unit of electricity is $0.15 per watt.

Total Watts = 200 watts/panel × 10 panels = 2000 watts

Cost per Unit = 2000 watts / $0.15 per watt = $13.33 per unit

Total Cost = $13.33 per unit × 10 units = $133.33

Therefore, the total cost of electricity generated by the 10 solar panels would be $133.33.

By multiplying the watts produced by the number of units and dividing it by the watts per unit cost, you can determine the cost per unit. Multiplying the cost per unit by the number of units gives you the total cost.

To know more about cost, visit

https://brainly.com/question/32842885

#SPJ11

Answer:

x(x-2)

Step-by-step explanation:

the common multiple here is the x, notice how it appears in both both terms. thus, we can factor it out of the equation going from x²-2x to x(x-2)

x(x-2)

Im assuming you meant x² - 2x but correct me if i'm wrong!

so x is common in both terms so you can take it out and factorise it.

Hope this helps!

Answer:

3 is y = -2x +1 and y = -2x -3 that's three

Answer:

first one

Step-by-step explanation:

The graph intersects x-axis at (4,0)  and (-3,0)

If function f has zeros at -3 and 4 then the first graph represents the function f.

When a function has zeros at -3 and 4, it means that the function's value is equal to zero at those x-values.

In other words, when x = -3 and x = 4, the function f(x) becomes 0.

To represent this on a graph, you should look for two points where the graph intersects the x-axis at -3 and 4.

When the graph crosses the x-axis at these points, it indicates that the function has zeros at those x-values.

When we observe the graphs, the first graph has zeros at -3 and 4.

Hence, the first graph could represent the function f with zeros at -3 and 4.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ4

The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.

To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:

Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)

Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)

Expected return = 0.036 + 0.0495 - 0.0125

Expected return = 0.073

The expected return is 7.30%.

To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:

Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)

Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2

Variance = 0.00232 + 0.000173 + 0.001903

Variance = 0.004423

The standard deviation is the square root of the variance:

Standard deviation = √(0.004423)

Standard deviation = 0.0665

Therefore, the value obtained is 0.0665.

To know more about standard deviation refer here:

https://brainly.com/question/29115611#

#SPJ11

Answer:

The volume would be 36

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

6(2a + b ) +b

12a + 6b +b

12a + 7b

so  answer B looks good

Answer: B) 12a+7b

Step-by-step explanation:

6(2a+b) +b

12a+6b+b

Combine like terms

12a+7b

Therefor B is correct

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


Learn more about intersections here : brainly.com/question/12089275

#SPJ11

Answer:

[-6 , 0]

Step-by-step explanation:

If the absolute value of an expression is equal to a number, that means that the expression itself could be equal to either the negative equivalent to that number or the positive equivalent.

for example, if my inequality is |x| > -3

x could either be:

-3 or 3

So,

| 2(x - 1) + 8 |  ≤  6

can be separated into two separate inequalities:

      2(x - 1) + 8  ≤   6

or,  2(x - 1) + 8  ≥ - 6

we solve these inequalities separately.

2(x - 1) + 8 ≤ 6

2x - 2 + 8  ≤ 6               [distribute 2]

2x  ≤ 0              [add 2 to both sides, subtract 8 from both sides]

x ≤  0   [finalize isolating x by dividing both sides of the equation by 2]

expressed as [in interval notation]:

(-∞, 0]

now, let's solve for the other inequality.

2(x - 1) + 8  ≥  - 6

2x - 2 +  8   ≥  - 6         [distribute 2]

2x  ≥  -12                   [add 2 to both sides, subtract 8 from both]

x  ≥  -6          [divide both by 2 to isolate x]

expressed as [in interval notation]:

[-6 , ∞)

So, our answer for x is going to be

-6 ≤ x ≤ 0

or, expressed in interval notation:

[-6 , 0]

*[ includes number]

*( is not equal to number)

Answer:

2.5

Step-by-step explanation:

IVE BEEN WATCHING YOUR ACCOUNT STOP STEALING POINTS OR YOUR ACCOUNT WILL BE TERMINATED.

We are given the expression sin 280° cos 160° − cos 280° sin 160°,

which is the same as sin (280° - 160°).

By applying the subtraction formula of sine and cosine,

we can simplify it to:

\sin (280° - 160°) = \sin 120°

= \sin (180° - 60°)= \sin 60°

Therefore, the given expression is equal to sin 60° or sin π/3 when expressed in terms of a single angle.

Thus, the function can be represented as:

f(x) = sin x, where x = π/3 or 60°.

This function represents the sine of an angle x where

x = π/3 or 60°.

The sine of an angle is the ratio of the opposite side and the hypotenuse of a right-angled triangle that contains the angle.

Therefore, the value of the function will depend on the value of the angle x given to it.

To know more about expression visit :

https://brainly.com/question/28170201

#SPJ11

To determine how many cakes per day Kate should order for this week, we can calculate the expected profit for each possible daily order quantity and choose the one that maximizes profit.

(a) Here are the steps:
1. Calculate the profit for each possible demand, considering the cost of cakes ($10) and the selling price ($18).
2. Multiply the profit by the probability of each demand level.
3. Sum up the expected profits for all demand levels. Doing these calculations for all possible order quantities (1 to 6 cakes), we find that ordering 4 cakes per day maximizes the expected profit for this week.
(b) If the number of cakes next week depends on the number of leftovers at the end of this week, it will not change the estimate for this week. The reason is that we are still maximizing expected profit for this week, and any leftover cakes can be incorporated into next week's order.
(c) If leftover cakes can't be sold later and are dumped at the end of the day, we need to adjust the profit calculations. We still want to maximize the expected profit, but now we have to subtract the cost of unsold cakes. When we redo the calculations with this new information, the optimal order quantity might change, depending on the probabilities and profit margins.
(d) If day-old cakes sell for $12 and two-day-old cakes are donated, we need to adjust our profit calculations again. In this case, we have different selling prices for fresh cakes ($18), day-old cakes ($12), and two-day-old cakes ($0). Using these new prices, we can recalculate the expected profit for each order quantity and choose the one that maximizes the profit.

Learn more about profit here, https://brainly.com/question/19104371

#SPJ11

a. Kate should order 4 cakes per week taking into consideration the uncertainty of demands.

b. The best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.

c. Kate should order 3 cakes per day for this week to minimize waste.

d. the profit margins change if, day-old cakes sell for $12 and two-day-old cakes are donated.

a. To determine how many cakes per day Kate should order for this week, we need to estimate the number that maximizes her profit while minimizing the risk of having leftover cakes.

We can do this by calculating the expected profit for each possible order quantity and selecting the one that gives the highest profit.
We can calculate the number of cakes by following the steps
1. Multiply the daily demand by its probability, then sum these products to get the expected daily demand:

(1 * .1) + (2 * .2) + (3 * .25) + (4 * .25) + (5 * .15) + (6 * .05) = 3.4 cakes
2. Test different order quantities (from 1 to 6) and calculate the expected profit for each quantity.
3. Select the order quantity with the highest expected profit.

For this problem, Kate should order 4 cakes per day for this week.

b. If the number of cakes next week depends on the number of leftovers at the end of this week, the best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.

c. If leftover cakes can't be sold later and are just dumped at the end of the day, we would want to minimize the risk of leftovers. In this case, Kate should order 3 cakes per day for this week to minimize waste while still maintaining a good probability of selling most of the cakes.

d. If day-old cakes sell for $12 and two-day-old cakes are donated, the profit margins change, and the expected profit calculation should be updated accordingly.

After recalculating, Kate should still order 4 cakes per day for this week, as the order quantity provides the highest expected profit with this new pricing structure.

Learn more about expected profit calculation : https://brainly.com/question/28851824

#SPJ11

Answer:

the equation is 10 + -3x = y

Answer:

$390

Step-by-step explanation:

y=30x+90

y+30(10)+90

y=300+90

$390 is the total cost of joining the club and playing 10 games during the

year

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given

y=30x+90

y+30(10)+90

y=300+90

To know more about algebraic expression refer to :

https://brainly.com/question/4344214

#SPJ2

the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

Answer:

14

Step-by-step explanation:

the x formate times xn

Answer:The answer is 14 units i got this right on  my school and the person up there is right as well

Step-by-step explanation: have a great day.=D

Answer:

First off it moves differently on the graph when adding c to the first eqaution the line moves c spaces up. When c is added before the exponent it moves c spaces to the left on the graph.

Step-by-step explanation:

Answer:

30 ft

Step-by-step explanation:

6 x 5 = 30

you multiply 6 times 5 and you get 30

Step-by-step explanation: