A farm grew 19.8 tons of wheat in 2013. the farm's wheat output increased by 9.8% from 2013-2014, and by 5.1 % from 2014 to 2015. which expression represents a strategy for estimating the farm's output for 2015?

The statements given are mostly true, except for the statements that V_4 is parallel to V_3 and that V_3 is greater than V_1.

The magnitude of a vector can be different in different coordinate systems. True

It is possible to add a scalar to a vector. True

A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. True

The direction of a vector can be different in different coordinate systems. True

A 2D vector can have a component equal to zero even when its magnitude is nonzero. True

The components of a vector can be different in different coordinate systems. True

It is possible to multiply a vector by a scalar. True

If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. False

If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. True

If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. True

If V_3 = V_1 + V_2, then V_3 > V_1. False

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Answer:

10.4 g/cm³

Step-by-step explanation:

Find the volume with formula, l x b x h

Then the formula gram / volume to find density.

Attitude, beliefs, and knowledge shape a teacher's delivery: attitude affects engagement, beliefs influence instructional decisions, and knowledge enables effective communication and learning facilitation.

Attitude, beliefs, and knowledge play crucial roles in shaping how a teacher delivers a lesson. Here's a detailed explanation of their impacts:

Attitude:

Attitude refers to a teacher's mindset, emotions, and approach towards teaching. A positive attitude fosters enthusiasm, motivation, and a genuine passion for the subject matter. This translates into an engaging and dynamic teaching style, creating an environment conducive to learning. Conversely, a negative attitude can lead to disinterest, lack of enthusiasm, and a disengaged teaching approach, which can hinder students' engagement and comprehension.

Beliefs:

A teacher's beliefs influence their instructional decisions and pedagogical strategies. Beliefs about students' capabilities, learning styles, and the purpose of education can shape the teacher's approach to delivering a lesson. For example, if a teacher believes that all students have the potential to succeed, they may employ differentiated instruction techniques to cater to diverse learning needs. Conversely, if a teacher holds limiting beliefs about students' abilities, they may adopt a one-size-fits-all approach, which may hinder student progress.

Knowledge:

A teacher's knowledge encompasses both subject matter expertise and pedagogical content knowledge. Profound knowledge of the subject allows a teacher to effectively structure and present the lesson, answer student queries, and provide relevant examples. Pedagogical content knowledge helps in selecting appropriate instructional strategies, adapting to student needs, and assessing learning effectively. Without a strong knowledge base, a teacher may struggle to deliver accurate information, engage students, or address misconceptions.

Collectively, attitude, beliefs, and knowledge significantly impact a teacher's delivery of a lesson. A positive attitude enhances student motivation and engagement. Strong beliefs in students' potential and individualized instruction foster a supportive learning environment. Adequate subject knowledge and pedagogical skills enable effective communication and facilitate meaningful learning experiences. By combining these elements, teachers can create an impactful and effective learning environment that nurtures student growth and achievement.

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Answer:

D.

tangent = opp over adj

Step-by-step explanation:

The proportion of students who took ACT and scored between 18 and 28, P(18 < X < 28) is 0.607.

The proportion of students who took ACT and scored between 18 and 28, P(18 < X < 28) is given by the formula:

P(18 < X < 28) = P(Z < (28 - 21)/5.5) - P(Z < (18 - 21)/5.5)

We can then calculate the z-scores for the lower and upper bounds of the range as follows:

Z1 = (28 - 21)/5.5 = 1.27Z2 = (18 - 21)/5.5 = -0.55

Using a z-table or calculator, we can find the probabilities associated with these z-scores:

P(Z < 1.27) = 0.898P(Z < -0.55) = 0.291

Therefore,P(18 < X < 28) = P(Z < 1.27) - P(Z < -0.55) = 0.898 - 0.291 = 0.607

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Answer:

B. the greatest common factor of 10 and 15 is 5.

Step-by-step explanation:

A. is worg 14 cannot be divided by 5

C. is wrong 13 cannot be divided by 3

D. is wroing 14 cannot be divided by 3

I mean they all can but you won't get the whole numbers only fractions.

Option B

Let's check each option one by one.

A) The greatest common factor of 10 and 14 is 5.

Write down the factors of 10 and 14.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 14: 1, 2, 7, 14

We can see here that the GCF is "1" as it is the greatest factor of 10 and 14.

Hence, option A is incorrect.

B) The greatest common factor of 10 and 15 is 5.

Write down the factors of 10 and 15.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 15: 1, 3, 5, 15

We can see here that the GCF is "5" as it is the greatest factor of 10 and 15.

Hence, option B is correct.

C) The greatest common factor of 13 and 21 is 3.

Write down the factors of 13 and 21.

⇒ Factors of 13: 1 and 13

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "1" as it is the greatest factor of 13 and 21.

Hence, option C is incorrect.

D) The greatest common factor of 14 and 21 is 3.

Write down the factors of 14 and 21.

⇒ Factors of 14: 1, 2, 7, 14

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "7" as it is the greatest factor of 14 and 21.

Hence, option D is incorrect.

Thus, Option B is correct.

Answer:

y = 3x + 16

Step-by-step explanation:

If it is parallel to y = 3x + 8, then it has the same slope of 3.

y = 3x + b. Substitute the x and y values into the equation to solve for b.

7 = 3(-3) + b

7 = -9 + b

16 = b

y = 3x + 16

Answer:

24.5 or 24 1/2

Step-by-step explanation:

The patient weighed lose is : 24.5 pounds.

We have the following information available from the question is:

The weighed of patient is on a low sodium fat diet three months ago is :

\(220\frac{1}{8}\)

and, Now the weighed of the patient is : \(195\frac{5}{8}\)

We have to find the how many pounds did the patient lose?

Now, According to the question:

The patient weighed lose is:

Three months ago weighed - Current weighed

\(220\frac{1}{8}-195\frac{5}{8}\)

=>(1761 - 1565) /8

=> 196 /8

=> 24.5 pounds

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Answer:

Emma's  dad is 80

Exsplanation:

20 x 4 =80

1/2 X 4 = 2

Answer:

The period of this graph is 7.

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

We have that the graph will have a solution that is mathematically given as

y=12sin(6t-\pi)+2

Question Parameters:

A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).

Generally the equation for the Amplitude and vertical shift is mathematically given as

\(A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}\)

A=2

vertical shift =\(\frac{Max-min}{2}\)

vertical shift =\(\frac{14-10}{2}\)

vertical shift =1

Therefore, the time is given as

\(t=\frac{2\pi}{b}\)

Where

\(b=\pi/6\\\\t=\frac{2\pi}{\pi/6}\)

Hence,The graph will have a solution

y=12sin(6t-\pi)+2

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Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

Answer:

75 km

Step-by-step explanation:

To determine the square footage of wallpaper required to cover the wall surrounding a Norman window, we need to calculate the areas of both the rectangular and semicircular sections of the wall.

1. Rectangular Section: Measure the length and height of the rectangular portion of the wall. Multiply these two measurements to calculate the area of the rectangle.

2. Semicircular Section: Measure the diameter of the semicircular portion of the wall. Divide the diameter by 2 to find the radius. Use the formula (π * r^2) / 2 to calculate the area of the semicircle.

3. Total Square Footage: Add the area of the rectangular section and the area of the semicircular section to obtain the total square footage of wallpaper required to cover the wall surrounding the Norman window.

Since the specific measurements of the window and wall are not provided, please measure the length, height, and diameter of the window to accurately determine the square footage of wallpaper required.

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Answer:

but, what's the question....

I guess u forgot to upload that

Answer:

what

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

total possibilities = 10

red = 4

4/10

(4:2)/(10:2)

2/5

Answer:

x

=

±

√

5

−

6

Decimal Form:

x

=

−

3.76393202

…

,

−

8.23606797

…

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

5+(5)(6)

=5+30

=35

Step-by-step explanation:

This is an equation of a straight line (A standard equation).

y = mx + c

Where C is the Intercept

M is the slope

Therefore from your question

The equation has a slope of 0.5 and an intercept of -0.2.

43³/₄% can be expressed as a decimal to give 43.75%, which can be pronounced as forty-three point seventy-five percent.

A decimal value is a number that contains a whole and a fractional part.

Mathematically, decimal values are expressed using the decimal sign (.).

43³/₄%, which is a fractional value that can be changed into a decimal value thus:

= 43% + ³/₄%

= 43% + 0.75%

= 43.75%

Thus, 43³/₄%, which is forty-three-three-fourth percent, can be expressed as a decimal to give 43.75%.

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SOLUTION

The angles at points L and O make up a straight line.

These angles are

Angles on a straight line = 180 degrees. So

Therefore, angle LOQ = 29 degrees

Angle OPQ at point P is opposite to the angle at point L.

The angle at point L = 65 + 35 = 100 degree

Opposite angle of a parallelogram are equal.

Therefore, angle OPQ = 100 degrees

Angle OPL is alternate to angle PLQ. And angle PLQ = 65 degrees

Alternate angles are always equal.

Therefore, angle OPL = 65 degrees

Before we find LQP, let's find LOP.

Recall that LOQ = 29 degrees. So, LOP = 29 + 51 = 80 degrees

LQP is opposite to LOP. Since opposite angles of a parallelogram are equal,

Therefore, LQP = 80 dgrees.

Angle LPQ is alternate to angle OLP. OLP = 35 degrees

Since alternate angles are equal,

Angle LPQ = 35 degrees

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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Answer:

A translation of 3 units to the right, followed by a vertical stretch by a factor of 2, followed by a translation of 4 units up.

Step-by-step explanation:

Transformations

\(f(x-a) \implies f(x) \: \textsf{translated $a$ units right}.\)

\(\begin{aligned} y =a\:f(x) \implies & \textsf{$f(x)$ stretched/compressed vertically by a factor of $a$}.\\& \textsf{If $a > 1$ it is stretched by a factor of $a$}.\\& \textsf{If $0 < a < 1$ it is compressed by a factor of $a$}.\end{aligned}\)

\(f(x)+a \implies f(x) \: \textsf{translated $a$ units up}\)

Therefore, the series of transformations of:

\(y=x^2 \quad \textsf{to} \quad y=2(x-3)^2+4\quad \textsf{is}:\)

Translated 3 units to the right:

\(f(x-3)\implies y=(x-3)^2\)

Stretched vertically by a factor of 2:

\(2f(x-3)\implies y=2(x-3)^2\)

Translated 4 units up:

\(2f(x-3)+4\implies y=2(x-3)^2+4\)

Therefore, the series of transformations is:

A translation of 3 units to the right, followed by a vertical stretch by a factor of 2, followed by a translation of 4 units up.

a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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Answer:

102 miles

Step-by-step explanation:

In 2 hours there are 7200 seconds (\(60*60 = 3600 * 2 = 7200\))

In one second the bus travels 25 yards, so; \(7200 * 25 = 180,000 yards\)

Converting yards to miles is:  \(x (yards) / 1760\)

\(180000/1760 = 102.2727272...\)

∴ The bus will travel 102 miles in 2 hours.

Answer:

d = 3h - 6

Step-by-step explanation:

Given

h = \(\frac{d}{3}\) + 2 ( subtract 2 from both sides )

h - 2 = \(\frac{d}{3}\) ( multiply both sides by 3 )

3(h - 2) = d , that is

d = 3h - 6

Answer:

Step-by-step explanation: