The price of a stock in dollars is approximated by the following function, where t is the number of days after December 31, 2015
f(t) = 50-.2t, t <=50
f(t) = 40+.1t, t > 50
To the nearest dollar, what was the price of the stock 15 days before it reached its lowest value?

Answer:

1 +10=11 (since 0 is neither negative or positive the first and second positive integerswith 1 or 0

Answer:

Area 120 sq  m

Height  8cm

One side 20 cm

Area of trapezium = 1/2[a+b] *h

   120 = 1/2*[20+b]*8

   120 * 2 = 160 + 8b

   240 - 160 = 8b

   80/8  = b

   10 cm = b

Step-by-step explanation:

big brain momnent

Answer:

15cm

Step-by-step explanation:

Hope it helps:)

Answer: v = 8, 5; The sum of these values would be 13.

∣2v − 13∣ + 6 = 9

Combine like terms, utilizing the properties of equality. Do not forget to follow the order of operations!

∣2v − 13∣ + 6 = 9

Subtract 6 from both sides of the equation.

∣2v − 13∣ = 3

Consider the definition of absolute value (distance from the number zero); the absolute value of x and -x would both be x.

2v − 13 = 3

2v − 13 = −3

Add 13 to both sides of the equation.

2v = 16

2v = 10

Divide both sides of the equation by 2.

v = 8

v = 5

Add the sum of the values.

8 + 5 = 13

Answer

t = 6

Explanation

We are asked to solve the equation

3t - 6 = 12

Add 6 to both sides

3t - 6 + 6 = 12 + 6

3t = 18

Divide both sides by 3

(3t/3) = (18/3)

t = 6

Hope this Helps!!!

Simplifying

Reorder the terms:

Solving

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '6' to each side of the equation.

Combine like terms: -6 + 6 = 0

Combine like terms: 12 + 6 = 18

Divide each side by '3'.

Simplifying

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Step-by-step explanation:

d

since you add them up you will have a certain answer that will match up

Answer:

£6655

Step-by-step explanation:

Given data

Principal=  £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

A=5000*1.331

A= £6655

Hence the final Amount is  £6655

The length of the pendulum using equation is 43.56 feet.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given equation that represent the time of pendulum for one swing is

=> T = \(\frac{2\sqrt L}{3.3}\)

Now T = 4 sec then ,

=> 4 = \(\frac{2\sqrt L}{3.3}\)

=> 4*3.3 = 2\(\sqrt L\)

=> \(\sqrt L = 2\times3.3 = 6.6\)

=> L = 43.56 feet.
Hence the length of the pendulum using equation is 43.56 feet.

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Answer:

The absolute value for x would be 30

X=30

Answer:

16

Step-by-step explanation:

Area of a triangle = 1/2(b×h)

b or l = x+4

h = x

a = 40

1/2(x+4 × x) = 40

1/2(x+4 × x) = 40x + 4 × x / 2 = 40

4 × x = 4x

4x + x = 5x

5x/2 = 40

cross-multiply

40 × 2 = 5x

40 × 2 = 5x80 = 5x

divide both sides by 5

5x/5 = 80/5

5x/5 = 80/5x = 16

Answer:

2

Step-by-step explanation:

5 is split into two and BC is the smaller distance

Answer:

(51*31)/1 = 1581

Step-by-step explanation:

Answer:

180 degress and 60 degrees is the answer

The slope is the "rise over run" between any two points on the line.

Count out how much "up or down" vs "left or right" to find the slope:

    We go up 5 and right 5, giving us the fraction

              \(\dfrac{up~ 5}{right~ 5}=\dfrac{5}{5}=1\)

When counting, up and right are counted as positive; left and down are counted as negative.

Answer:

m∠1 = 148°  and m∠2 = 32°

Step-by-step explanation:

m∠1 + m∠2 = 180°  (supplementary angles)

4x° + (x - 5)° = 180  (substitution)

4x + x - 5 = 180

5x - 5 = 180

5x = 185

x = 37

m∠1 = 4(37)° =148°  and m∠2 = (37 - 5)° = 32°

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.

The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.

Here are some steps you can follow to simplify the statement "s":

1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.

2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.

3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.

5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.

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Answer:

First simplify the ones that need dividing

Step-by-step explanation:

So i got

-0.4, -0.6, 0.5, 4.44, 66.2

Hope this helps!

Answer:a polygon cannot have 7.2 sides

Step-by-step explanation:

each exterior angle of a regular polygon with n sides is equal and these angles add up to 360∘ . a polygon cannot have 7.2 sides. since , the exterior angle of a regular polygon cannot be 50∘

Answer: option B

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.p-by-step explanation:

12 miles hope this helps.

(a) The time (in h) will the plane take to reach the city is 7.09 hours or 7.1 hours.

(b) The plane flies through a constant tailwind blowing at 53.5 km/h, the time (in h) will it take to reach the city is 3.58 hours or 3.6 hours.

(c) The plane flies through a constant crosswind blowing east at 53.5 km/h, the time (in h) will it take to reach the city is infinite.

(a) To find the time it will take for the plane to reach the city with a headwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by subtracting the speed of the headwind from the plane's airspeed.

Ground speed = Airspeed - Headwind speed

Ground speed = 163 km/h - 53.5 km/h

Ground speed = 109.5 km/h

Now that we know the ground speed, we can use the formula:

Time = Distance ÷ Speed

Time = 776 km ÷ 109.5 km/h

Time = 7.09 hours or 7.1 hours

(b) To find the time it will take for the plane to reach the city with a tailwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by adding the speed of the tailwind to the plane's airspeed.

Ground speed = Airspeed + Tailwind speed

Ground speed = 163 km/h + 53.5 km/h

Ground speed = 216.5 km/h

Now that we know the ground speed, we can use the formula:

Time = Distance ÷ Speed

Time = 776 km ÷ 216.5 km/h

Time = 3.58 hours or 3.6 hours

(c) To find the time it will take for the plane to reach the city with a crosswind, we need to first find the component of the crosswind that is perpendicular to the plane's direction of travel. This component will not affect how long it takes for the plane to reach its destination.

Component of crosswind = Crosswind speed × sin(angle between direction of travel and crosswind)

Component of crosswind = 53.5 km/h × sin(90°)

Component of crosswind = 53.5 km/h

Now we can find the ground speed of the plane relative to its direction of travel:

Ground speed = Airspeed × cos(angle between direction of travel and crosswind)

Ground speed = 163 km/h × cos(90°)

Ground speed = 0 km/h

Since the ground speed is 0 km/h, the plane will not make any progress towards its destination. Therefore, it will take an infinite amount of time to reach the city with a crosswind.

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The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer:

18

Step-by-step explanation:

\(0.25*75 = 18\\\) (must round down for population)

Answer:

The shape has 6 angles and 6 sides

Step-by-step explanation:

therefore it is a hexigon as hexigon is  a polygon of six angles and six sides.

Answer: No

Step-by-step explanation: The length isn't 90 degree's so it can't be a right triangle

Answer: Diego's playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Based on the number of songs Diego has and the proportion of the genres, Diego's song classification is:

The number of songs from a particular genre is:

\(= \text{Total number of songs}\times\text{Percentage of genre}\)

Rock:

\(= 40\% \times 90\)

\(\bold{= 36 \ songs}\)

Country:

\(= 10\% \times 90\)

\(\bold{= 9 \ songs}\)

Hip hop:

\(= 30\% \times 90\)

\(\bold{= 27 \ songs}\)

Electronica:

\(= (100\% - 40\% - 10\% - 30\%) \times 90\)

\(\bold{= 18 \ songs}\)

In conclusion, there are various genres on Diego's phone.

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Complete Question:

Diego has 90 songs on his playlist. How many songs are there for hip-hop?

40% rock

10% country

30% hip-hop

The rest is electronica