a classic puzzle: can you draw 4 straight lines that cross through all 9 dots without lifting your pencil off the paper or retracing backwards over lines?

Answer: x= 150-20

Step-by-step explanation:

This is what i believe I would be careful though because this is a confusing question.

We want maximum profit, which is the max value of y.

We basically want for which x value, we have y as the maximum.

First,

let's take the derivative of y:

Maximum is when the derivative is equal to 0. So, the x-value when derivative is 0:

To get max profit, the widgets should be sold at $50.50

Answer:

33 square units

Step-by-step explanation:

4 triangles - 1/2 * 3 * 4 = 24

base is 3 * 3 = 9

24 + 9 = 33

Answer:

y = (3/2)x + 3

Step-by-step explanation:

Comment

The general equation is

y = mx + b

Finding m

The equation for the slope is

m = (y2 - y1)/(x2 - x1)

Givens

y2 = 3

y1 = 0

x2 = 0

x1 = - 2

m = (3 - 0)/(0 - -2)

m = 3 / 2

m = 3/2

Finding b

b is the y intercept which is (0,3)

x = 0

y = 3

3 = 0*3 + b

b = 3

So the equation is

y = (3/2) x + 3

Answer: $1640

Step-by-step explanation:

Since the salesperson's commission rate is 4%, therefore the commission from the sale of $41,000 worth of furnaces will be calculated as follows:

= 4% × $41000

= 4/100 × $41000

= 0.04 × $41000

= $1640

Therefore, the commission is $1640.

Answer: 4x² + 4xy - 3y²

Concept:

When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:

Solve:

Given

(2x - y) (2x + 3y)

Expand parentheses and apply the FOIL method

=4x² + 6xy - 2xy - 3y²

Combine like terms

=4x² + (6xy - 2xy) - 3y²

=\(\boxed{4x^2+4xy-3y^2}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

Answer:

the answer is 30

Step-by-step explanation:

Answer:

hope it helped you with your assignment:)

Answer:

\(160\sqrt{3}\)

Step-by-step explanation:

Step 1: Know what the question is asking

Step 2: Set up the problem

Answer:

There are 16 girls.

Step-by-step explanation:

3 : 4

12 : x

Now if we cross multiply:

3(x) = 12(4)

3x = 48

x = 16

The problem entails calculating the probability for a scenario in which the IRS audits 30% of tax returns at random and a married pair has filed separate returns. Calculate the chances of both husband and wife being audited, just one of them being audited, neither of them being audited, and at least one of them being audited.

a) Probability that both the husband and the wife will be audited: (0.3)² = 0.09 or 9%

b) Probability that only one of them will be audited:

c) Probability that neither one of them will be audited: (0.7)² = 0.49 or 49%

d) Probability that at least one of them will be audited: This is the complement of the probability that neither one of them will be audited. So, the probability that at least one of them will be audited is 1 - 0.49 = 0.51 or 51%.

The relevant terms in this question are probability and statistics. To solve for the probability of each scenario, we used the formulas for independent probabilities and complements.

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\(1 \times 9 = 9 \: \: \: yes\)

\(0 \times 6 = 1 \: \: \: no \: \: \\ because \: 0 \times 6 = 0\)

\(0 \times 7 = 0 \: \:yes\)

\(1 \times 8 = 1 \: \: no \: \: \\ because \: \: 1 \times 8 = 8\)

\(hope \: \: it \: \: helps \\ ray4918 \: \: \: here\)

Answer: 5.99

Step-by-step explanation:

Ling spent $23.96 on cooking fuel for an upcoming camping trip.  

Total number of cans of cooking fuel bought = 4

So, the cost of each can =  dollars

Hence, Ling paid $5.99 for each can of cooking fuel.

Answer:

Divide the amount Ling spent on cooking fuel by the number of cans of fuel she bought and youll have your answer.

Step-by-step explanation:

Hope yhis helped

Answer:

x = 3/85

Step-by-step explanation:

log2 (6) - log2 (5x) = log2 ( 34)

We can use the properties of logs.

First subtract log2 (6) from each side.

log2 (6) - log2 (5x) - log2 (6) = log2 ( 34)-log2 (6)

- log2 (5x)  = log2 ( 34)-log2 (6)

Now we know that log a - log b = log a/b

- log2 (5x)  = log2 ( 34/6)

- log2 (5x)  = log2 ( 17/3)

Multiply each side by -1

 log2 (5x)  = -log2 ( 17/3)

We know that  -log (a/b) = log ( b/a)

 log2 (5x)  = log2 ( 3/17)

The terms inside the logs must be the same

5x = 3/17

Divide each side by 5

5x/5 = 3/17 * 1/5

x = 3/85

Answer to Whats the answer for that question?:

A correct response to a question asked to test one's knowledge.

Step-by-step explanation:

The way you answer a question depends on how you view it. This could entail thought process, method, and calculations. So overall it depends on perspective.

Answer:

3654.7

Step-by-step explanation:

isbssnsbscTag c z agajama

Answer:

if rounding to the nearest 10 :

3650

if rounding to the nearest tenths :

3654.7

A) 122 degrees because it's an obtuse angle so the inner layer numbers is the ones you need to pick.

The diameter of the balloon is increasing at a rate of approximately 0.47 ft/min when its diameter is 1.7 feet.

To find the rate at which the diameter is increasing, we can use the relationship between the volume and the radius of a sphere. The volume of a sphere is given by the formula V = (4/3)πr^3, where V is the volume and r is the radius (half of the diameter).

We are given that the volume is increasing at a rate of 3.9 ft^3/min. Taking the derivative of the volume equation with respect to time, we have dV/dt = 4πr^2(dr/dt), where dV/dt is the rate of change of volume with respect to time and dr/dt is the rate of change of the radius with respect to time.

Since we are interested in finding the rate of change of the diameter, which is twice the rate of change of the radius, we can rewrite the equation as dV/dt = (4/3)π(2r)(2dr/dt) = (8/3)πr(dr/dt).

Plugging in the given values, we have 3.9 = (8/3)π(0.85)(dr/dt), where the diameter is 1.7 feet and the radius is half of that (0.85 feet). Solving for dr/dt, we find that dr/dt ≈ 0.47 ft/min. Therefore, the diameter of the balloon is increasing at a rate of approximately 0.47 ft/min when the diameter is 1.7 feet.

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Answer: (1,0), increases, x=0, decreases to negative infinity.

Step-by-step explanation:

Plato/edmentum

Answer: check image below

Step-by-step explanation:

Answer:

C) 85%

Step-by-step explanation:

i hope this is right ^w^

Answer:

6

Step-by-step explanation:

72 divided by 12 equals 6

Answer: it is (a)

explanation: in took the test :)

If a scale model of the plane is 40.6 cm long, the scale factor used to create the model is approximately 1:142.857 or 0.007 rounded to the nearest thousandth.

To determine the scale factor used to create the model, we need to divide the length of the actual airplane by the length of the model airplane:

58 m / 40.6 cm

To perform this calculation, we need to convert the units so that they match. We can convert 58 m to cm by multiplying by 100:

58 m = 58 × 100 cm = 5800 cm

Now we can divide:

5800 cm / 40.6 cm = 142.857...

Rounding to the nearest thousandth, we get:

142.857... ≈ 142.857

Therefore, the scale factor used to create the model is approximately 1:142.857 or 0.007 rounded to the nearest thousandth.

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The angles are 81 degrees and 99 degrees

============================================================

Explanation:

Consecutive angles, aka adjacent angles, of a parallelogram always add to 180 degrees. They are considered supplementary.

(angle A)+(angle B) = 180

(3x+42)+(9x-18) = 180

(3x+9x)+(42-18) = 180

12x+24 = 180

12x = 180-24

12x = 156

x = 156/12

x = 13

We can then find the measure of each angle

Then notice that A+B = 81+99 = 180 to confirm the answers.

Answer:

There are 20 customers all together.

Step-by-step explanation:

Let x = the total number of customers.

12% of what number is 24.  12% as a decimal is .12

.12x = 24  Divide both sides by .12

\(\frac{.12x}{.12}\) = \(\frac{24}{.12}\)

x = 200

Helping in the name of Jesus.

The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.

Here we have the Utility function as

U(x₁ , x₂) = 3x₁ + x₂

From the given utility function we can clearly see that these goods are substitutes for each other

Now,

δU/δx₁ = 3

δU/δx₂ = 1

Hence we get the Marginal Rate of Substitution or MRS

\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)

= -3

The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2

|MRS| = 3

For Mary to only consume good 1, |MRS| > p₁/p₂

Hence here we get the p/p ratio for the 4 price vectors to be

a. 3/2 = 1.5

b. 10/3 = 3.33

c. 4

d. 15.4 = 3.75

Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.

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Answer:

180 tiles

Step-by-step explanation:

Answer:

180 whole tiles

Step-by-step explanation:

this is because 12 x 15= 180. if they are 1 inch tiles then you need 12 to go one way 15 times, so it would be 180.

The plane’s altitude will be approximately 6,336 feet when it has flown over 7 miles of ground and climbed at a 9° angle.
What is meant by miles?

Miles are a unit of distance used in the United States and some other countries, equal to 5,280 feet or 1.609 kilometres. Miles are commonly used to measure distances between cities, countries, and other geographical locations.

What is meant by angle?

A geometric shape known as an angle is created by two rays or line segments that have a similar terminal (referred to as the vertex). Angles can be expressed as radians or degrees and are used to describe how lines and shapes are oriented, situated, and related to one another. Angles can be categorised according to their size and shape as acute, right, obtuse, straight, or reflex.

According to the given information

The problem can be solved using trigonometry 1. The altitude of the plane can be calculated using the tangent function as follows: tan(9°) = h/7 h = 7 tan(9°) ≈ 1.2 miles ≈ 6,336 feet

Therefore, the plane’s altitude will be approximately 6,336 feet when it has flown over 7 miles of ground and climbed at a 9° angle.

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Answer:

9) 15

10) 115

11) 58

12) 75

13) 23

14) 51

Step-by-step explanation:

9)

The sum of the interior angles of a triangle is 180

180 -40-25 = 115

10)

The angle 155 equal the sum of 40 and x

155 - 40 = 115

11)

The angle 100 = x +42

100 - 42 = 58

12)

180 - 30 = 150

Both angles are equal to each other 150/2 = 75

13)

180 - 90 = 90

The 2 angles remaining equal 90

2x + 21 + x = 90  Combine like terms

3x +21 + 90  Subtract 21 from both sides

3x = 69  Divide both sides by 3

x = 23

14)

3x - 22 = 80 + x  Subtract x from both sides

2x - 22 = 80  Add 22 to both sides

2x = 102  Divide both sides by 2

x = 51

The soccer team can have 1,716 different starting lineups. The number of ways to choose 1 player out of 13 for the goalkeeper position is given by the combination formula: C(13, 1) = 13.

To calculate the number of different starting lineups, we need to determine the combinations of players that can be chosen for the starting lineup. Since there are 13 players on the team and 11 positions in the starting lineup, we need to choose 1 player for the goalkeeper position and 10 players for the regular positions. Similarly, the number of ways to choose 10 players out of the remaining 12 players for the regular positions is given by the combination formula:

C(12, 10) = 66.

To find the total number of different starting lineups, we multiply the number of choices for the goalkeeper position by the number of choices for the regular positions: 13 * 66 = 858.

However, the order of the players in the lineup doesn't matter, so we need to divide the result by the number of permutations of the 10 regular players: 858 / 10! = 1716. The soccer team can have 1,716 different starting lineups.

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A pentagonal prism is a prism with two parallel pentagonal faces connected by five rectangular faces. It has a total of 10 faces, 15 vertices, and 10 edges.

A pentagonal prism is a type of prism that has two parallel and congruent pentagonal faces connected by rectangular faces that are perpendicular to the pentagonal faces. The pentagonal faces serve as the base and top of the prism, while the rectangular faces form the sides of the prism.

A pentagonal prism has a total of ten faces, consisting of two pentagonal faces, five rectangular faces, and ten edges. The pentagonal faces each have five sides and five vertices, while the rectangular faces have four sides and four vertices.

Therefore, a pentagonal prism has a total of 15 vertices, which are formed by the intersection of the edges of the pentagonal and rectangular faces.

The edges of the pentagonal prism are straight lines that connect the vertices of the pentagonal and rectangular faces. There are 10 edges in total, with five of them forming the perimeter of the pentagonal faces, and the other five forming the perimeter of the rectangular faces.

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