W=K/L (Solve for L)​

Answer:

y=3x+15

Step-by-step explanation:

she can make 3 a day so 3x and she already has 15 so the line crosses the y-axis  at 15

Answer:

18

Step-by-step explanation:

since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2

Answer:500x=5,250

Step-by-step explanation:

He climbs 500 steps a day so the answer will be 500x=5250

The area of the triangle KLM whose vertices K(5,-7), L(6,-4), and M(3,-5) will be 4.5 square units.

The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃).

Then the area of the triangle will be

Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|

The vertices of the triangle are given below.

(x₁, y₁) ⇒ (5, -7)

(x₂, y₂) ⇒ (6, -4)

(x₃, y₃) ⇒ (3, -5)

Then the area will be

Area = 1/2[{(5) x (-5) + (6) x (-4) + (3) x (-7)} – {(-7) x (6) + (-4) x (3) + (-5) x (5)}]

Area = 1/2 [(– 25 – 24 – 21) – (– 42 – 12 – 25)]

Area = 1/2[– 70 + 79]

Area = 1/2 × 9

Area = 4.5 square units

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Answer:

y=x²-7x+12

Step-by-step explanation:

Since the zeroes are 3 and 4, those are also the x-intercepts. That means that the two factors would be (x-3) and (x-4).

Basic factored form is y=a(x-zero) (x-zero). In your case, it would start as:

y=1(x-3)(x-4)

Standard form is when it's multiplied out and in the form:

y=ax²+bx+c. so you need to multiply the factored form or completely.

Answer:

Rational

Step-by-step explanation:

Hello!

All rational numbers can be expressed as a fraction with integer parts.

-2 and 3 are integers and are represented as a fraction, so it is rational.

For decimals, any decimal that has repeating digits, or a pattern (ex 0.3333.... or 0.12312312...) are rational. Decimals without repeating digits or no pattern (ex pi: 3.1415....) are irrational.

In the given scenario, the events E and F are independent, with P(E) = 0.4 and P(F) = 0.8. To find the probability of E and F occurring together (P(E and F)), we can use the fact that independent events satisfy the formula P(E and F) = P(E) * P(F). Additionally, we are asked to find the conditional probability P(F|E), given that P(E and F) = 0.2 and P(E) = 0.8.

1. Probability of E and F occurring together (P(E and F)):

Since E and F are independent events, we can use the formula P(E and F) = P(E) * P(F) to calculate the probability:

P(E and F) = P(E) * P(F) = 0.4 * 0.8 = 0.32

Therefore, the probability of E and F occurring together (P(E and F)) is 0.32.

2. Conditional probability P(F|E):

The conditional probability P(F|E) represents the probability of event F occurring given that event E has already occurred. We are given that P(E and F) = 0.2 and P(E) = 0.8. Using the formula for conditional probability:

P(F|E) = P(E and F) / P(E) = 0.2 / 0.8 = 0.25

Therefore, the conditional probability P(F|E) is 0.25.

Note: The remaining part of your question seems unrelated and contains incomplete information. If you need assistance with a specific problem or clarification, please provide more details.

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Answer:

The brother would be 13

Step-by-step explanation:

14 - 6= 8

There's an 8-year difference

21 - 8= 13

Let \(W\) be the random variable for the winnings from playing the game once.

• There are 4 jacks in the deck, so you draw a jack with probability 4/52 = 1/13. In this case you "win" $1.25 - $1.75 = -$0.50.

• There are 4 queens, with draw probability 4/52 = 1/13 and winnings $3.25 - $1.75 = $1.50.

• There are 4 kings, with draw probability 4/52 = 1/13 and winnings $4.50 - $1.75 = $2.75.

• There are 4 aces, and 3 of these are not of the spade suit, so the probability of drawing any of these is 3/52 and you win $6.50 - $1.75 = $4.75.

• There is only 1 ace of spaces, with draw probability 1/52 and winnings $7.75 - $1.75 = $6.00.

• Adding these up, it follows that the probability of drawing any other card is 1 - (1/13 + 1/13 + 3/52 + 1/52) = 10/13, in which you have the privilege of "winning" -$1.75.

So, the probability mass function for \(W\) is

\(\mathrm{Pr}(W=w) = \begin{cases} \dfrac1{13} & \text{if } w \in \{-\$0.50, \$1.50, \$2.75\} \\\\ \dfrac3{52} & \text{if } w = \$4.75 \\\\ \dfrac1{52} & \text{if } w = \$6.00 \\\\ \dfrac{10}{13} & \text{if } w = -\$1.75 \\\\ 0 & \text{otherwise} \end{cases}\)

The expected winnings from playing one round of this game are

\(\Bbb E[W] = \displaystyle \sum_w w\,\mathrm{Pr}(W=w)\)

\(\Bbb E[W] = \dfrac{-\$0.50 + \$1.50 + \$2.75}{13} + \dfrac{3\cdot\$4.75}{52} + \dfrac{\$6.00}{52} + \dfrac{10\cdot(-\$1.75)}{13}\)

\(\Bbb E[W] \approx \boxed{-\$0.67}\)

The point-slope form of the line is y - (3/4) = 5(x - (3/4)).

The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.

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Answer:

20x-10(or if solving for x x = -1/2

Step-by-step explanation:

Combine Like Terms

10 5/6x+9 1/6x-1-9 = 19 6/6x -10 = 20x-10

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

84

Step-by-step explanation:

LengthxWidthxHeight.

6x2x7=84

Answer:

2x^4-11x^2+5=0

Step-by-step explanation:

3.1     Factoring  2x4-11x2+5  

The first term is,  2x4  its coefficient is  2 .

The middle term is,  -11x2  its coefficient is  -11 .

The last term, "the constant", is  +5  

Step-1 : Multiply the coefficient of the first term by the constant   2 • 5 = 10  

Step-2 : Find two factors of  10  whose sum equals the coefficient of the middle term, which is   -11 .

     -10    +    -1    =    -11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  -1  

                    2x4 - 10x2 - 1x2 - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x2 • (x2-5)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x2-5)

Step-5 : Add up the four terms of step 4 :

                   (2x2-1)  •  (x2-5)

            Which is the desired factorization

Answer:(2x^2+1) (x^2+5)

Step-by-step explanation:

Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

Answer:

CP = 4500

SP = 5175

As the SP is greater than the CP, it is a profit

Profit = 675

Profit percent = (Profit / CP) * 100

=> (675/4500) * 100

=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)

=> 15 (Once you divide 675 by 45)

=> 15 % profit

Therefore, Profit = 15 %

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a) We have to identify which values of the set for p satisfy 4p-p < 13.

We can rearrange the inequality to find the value of p:

Then, the values from the set that satisfy 4p - p < 13 are 1, 2, 3 and 4.

b) As the inequality 4p-p > 13 is the complement of the previous inequality (knowing that 4-p = 13 does not match any value in the set), the other values of the set not included in the previous solution will satisfy this equation.

Then, the values from the set that satisfy 4p - p > 13 are 5, 6, 7, 8 and 9.

Answer:

The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are: 1, 2, 3, 4.

The values of p from the set that make 4p − p > 13 true are: 5, 6, 7, 8, 9.

Answer:

21

Step-by-step explanation:

Please give me brainliest

Answer:

you need 2 people to answer so here you go

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 180 people

Step-by-step explanation: We have to use

multiplication to solve this problem.

1 table → 5 people

36 tables → 5 × 36 = 180 people

The price of a new ticket after reducing the ticket price by 25% is $6. Maddy will need to sell 400 more tickets this year to raise the same amount of money as last year.

Number of tickets sold = 1200

Cost of each ticket = $8

Part A:

If Maddy lowers ticket costs by 25%, The price of a new ticket will be:

Ticket price = $8 - (25% of $8)

Ticket price = $6

The New ticket price will be calculated by multiplying 0.75 for reducing the 25% tickets

New ticket price = $8 x 0.75 = $6

Part B:

To find how many tickets Maddy requires to sell to equal the same amount of money collected in the previous year:

Total revenue = total number of tickets x Ticket price

1200 tickets x $8 per ticket = $9,600

= $9,600 / $6

= 1,600

Total tickets need to sell = 1600-1200 = 400

Therefore we can conclude that Maddy will need to sell 400 more tickets this year.

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Answer:

principal is the correct answer

Step-by-step explanation:

principal is the correct answer

Answer:

Its b

Step-by-step explanation:

I took the test on edge 2020

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.

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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.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer: \(9\times 11\ ft^2\)

Step-by-step explanation:

Given

Height is \(2\ ft\) more than its width

Suppose the width is \(x\). So, height becomes \(x+2\)

Area of the painting is \(99\ ft^2\)

Area is the product of width and height

\(\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9\)

Neglect the negative values

\(\text{Width =}9\ ft\\\text{height =}9+2=11\ ft\)

The ΔH values associated with the dissolution of lithium chloride that are exothermic involve the release of heat energy. When a substance dissolves in a solvent, it can either release heat (exothermic) or absorb heat (endothermic).

Here are the steps to determine if the dissolution of lithium chloride is exothermic:

1. Look for the chemical equation that represents the dissolution of lithium chloride. In this case, it would be:

LiCl(s) → Li+(aq) + Cl-(aq)

2. Examine the enthalpy change (ΔH) associated with this chemical equation. If the ΔH value is negative, it indicates an exothermic process, meaning that heat is released during the dissolution. If the ΔH value is positive, it indicates an endothermic process, meaning that heat is absorbed during the dissolution.

So, to identify the exothermic ΔH values associated with the dissolution of lithium chloride, you need to find experiments or reliable sources that provide the enthalpy change values for this reaction.

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The mass of the original sample of phosphorus-32 was approximately 717.7 grams.

To solve this problem, we can use the radioactive decay formula:

A = Ao * 2^(-t/h)

Where:

A = resulting amount after time t

Ao = initial amount (at t=0)

t = time

h = half-life of the substance

In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.

After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:

55 = Ao * 2^(-57/14.28)

To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):

55 / 2^(-57/14.28) = Ao

Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.

Therefore, the initial mass, Ao, is:

Ao = 55 / 0.07666 ≈ 717.7 g

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