There are 20 horses in a field one quarter of the horses are brown how many brown horses are there

(1) The graph is attached with the answer below.

(2)The equation of the line is y = x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The points are ( 3, 0 ) and ( 0, 3). The slope of the line will be calculated as:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 3 - 0 ) ( 0 - 3 )

Slope = 1

Calculate the y-intercept,

y = mx + c

3 = 0 + c

c = 3

The equation of the line will be:-

y = x + 3

Therefore, the graph is attached with the answer below the equation of the line is y = x + 3.

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Answer:

1. Architects

2. Civil Engineers

3. Astronomers

4. Game Developers

5. Animators

6. Interior Designers

7. Surveyors

8. Designers who use computer-aided design.

Answer:

30 inches

Step-by-step explanation:

16^2 + x^2 = 34^2

256 + x^2 = 1156

X^2 = root 900

X = 30

Answer:

4) 30.

Step-by-step explanation:

We can find the other leg of the right triangle by using the Pythagorean Theorem formula.

\(formula-a^2+b^2=c^2\)

\(legs-a,b\)

\(hypotenuse-c\)

--------------------------------------------------

Remember, the legs of the triangle are the sides that form the right angle. The hypotenuse is the longest side of the triangle.

Here, I am solving for one of the legs.

\(16^2+b^2=34^2\)

\(256+b^2=1156\)

\(1156-256=900\)

\(b^2=900\)

\(b=30.\)

--------------------------------------------------

Therefore, the length of the second leg is 30 inches.

Answer: The slope is 0.

***If the picture is sideways, use the rotate button.

Answer: 2/1

Step-by-step explanation:

The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.

If the power of the variable "a" is b/c. Then the simplest radical form of the expression will be given as,

\(\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}\)

Using a list of the radical expressions for numbers between 1 and 100 will reduce, create a list of the reduced radical values.

The number whose square lies between 1 to 100 is given as,

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

The number whose cube lies between 1 to 100 is given as,

2³ = 8

3³ = 27

4³ = 64

And some other values are given as,

2⁴ = 16, 2⁵ = 32, 2⁶ = 64, and 3⁴ = 81

The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.

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Answer:

20cubic yard

Step-by-step explanation:

Volume of cone formula:1/3hπr^2=1/3h(base)

1/3(6)(10)=20cubic yard

Answer:

\(\% Percent = 75 \%\)

Step-by-step explanation:

Given

\(Painters = 32\)

\(Interior\ Painters = 24\)

Required

Determine the percentage of the interior painters

This percentage is calculated as:

\(\% Percent = \frac{Interior\ Painters}{Painters} * 100\%\)

This gives:

\(\% Percent = \frac{24}{32} * 100\%\)

\(\% Percent = \frac{24* 100\%}{32}\)

\(\% Percent = \frac{2400\%}{32}\)

\(\% Percent = 75 \%\)

75% are painting the interiors

The number of candy boxes that can be compounded from 13 candies of 5 sorts is given by the combination C(17, 4), which is equal to 2380.

To determine the number of candy boxes that can be compounded from 13 candies of 5 different sorts, we can use the concept of combinations.

In this case, we have 5 sorts of candies and we need to choose a certain number of candies from each sort to form a box. Since we have 13 candies in total, we can distribute them among the 5 sorts in different ways.

To calculate the number of candy boxes, we can use the stars and bars method. We can imagine representing each candy as a star (*), and we need to place 4 bars (|) to separate the candies of different sorts. The number of candies between each pair of bars will correspond to the number of candies of a specific sort.

For example, if we have 13 candies and 5 sorts, one possible arrangement could be: *|**|***|****|*.

The number of ways to arrange the 13 candies and 4 bars can be calculated using combinations. We choose 4 positions out of the 17 available positions (13 candies + 4 bars) to place the bars.

Therefore, the number of candy boxes that can be compounded from 13 candies of 5 sorts is given by the combination formula:

C(13 + 4, 4) = C(17, 4) = 17! / (4! * (17-4)!) = 17! / (4! * 13!)

Calculating this expression will give you the number of possible candy boxes that can be compounded from the given candies.

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The quadrilateral that has four congruent sides is option D. square. A square is a special type of rectangle and rhombus, characterized by having all four sides of equal length.

A parallelogram (option A) is a quadrilateral with opposite sides that are parallel. While the opposite sides of a parallelogram are congruent, it does not guarantee that all four sides are equal.

A rectangle (option B) is a quadrilateral with four right angles. While opposite sides of a rectangle are congruent, it does not necessarily have four congruent sides unless it is also a square.

A rhombus (option C) is a quadrilateral with all sides of equal length. While a rhombus does have four congruent sides, it is not the only quadrilateral with this property.

Therefore, among the given options, the quadrilateral that has four congruent sides is the square (option D).

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Thus, the reuired new coordinate of H is (-7,-1).

The balance in the bank account increases at a rate of approximately 1.5% per year.

The given formula to model the balance in the account after x years is b(x) = 625(1.015)^x. Here, (1.015)^x represents the compound interest factor, indicating how much the initial deposit grows over time.

1. Rate of increase: To determine the rate at which the balance in the account increases per year, we need to consider the exponent (x) in the compound interest factor. In this case, the base of the exponent is 1.015, which means that the balance grows by 1.5% each year.

2. Calculating the rate: The rate of increase per year can be found by subtracting 1 from the base of the exponent and multiplying the result by 100. In this case, (1.015 - 1) × 100 = 0.015 × 100 = 1.5%. Therefore, the balance in the account increases at a rate of approximately 1.5% per year.

The balance in the bank account increases at a rate of approximately 1.5% per year. This rate is determined by the compound interest factor (1.015)^x, where x represents the number of years.

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Answer:

x < 2.67 days

Step-by-step explanation:

Let

Number of days = x

Billy = 14 + 6x

Juan = 10 + 7.5x

Bully < Juan

14 + 6x < 10 + 7.5x

14 - 10 < 7.5x - 6x

4 < 1.5x

x < 4/1.5

x < 2.67 days

The dimensions of the rectangular poster are 9 inches by 22 inches.

Let's assume the width of the rectangular poster is x inches.

According to the given information, the length of the poster is 4 more inches than two times its width. So, the length can be expressed as 2x + 4 inches.

The formula for the area of a rectangle is length × width. In this case, the area is given as 198 square inches.

Therefore, we have the equation:

(2x + 4) × x = 198

Expanding the equation:

\(2x^2 + 4x = 198\)

Rearranging the equation to standard quadratic form:

\(2x^2 + 4x - 198 = 0\)

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

x = (-b ± √\((b^2 - 4ac\))) / (2a)

Plugging in the values:

x = (-4 ± √\((4^2 - 4(2)(-198)))\) / (2(2))

x = (-4 ± √(16 + 1584)) / 4

x = (-4 ± √1600) / 4

x = (-4 ± 40) / 4

Simplifying:

x = (-4 + 40) / 4 = 9

x = (-4 - 40) / 4 = -11

Since we are dealing with dimensions, the width cannot be negative. Therefore, the width of the poster is 9 inches.

Substituting the value of x back into the length equation:

Length = 2x + 4 = 2(9) + 4 = 18 + 4 = 22 inches

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Answer: The greatest common factor is 5.

Answer:

------------------------

Set one variable to 0 and solve for the other.

For the x-intercept, set y = 0 and solve for x:

For the y-intercept, set x = 0 and solve for y:

The x-intercept is (32, 0) and the y-intercept is (0, -16).

The marginal return on the 9th hour of studying is likely less than the marginal return on the 8th hour. The cost of an additional pound of potatoes for Fred is 2 pounds of cabbage.

The law of diminishing marginal returns suggests that as you increase the quantity of a variable input (studying hours), the additional benefit derived from each additional unit will decrease.

Therefore, the marginal return on the 9th hour is likely to be less than the marginal return on the 8th hour.

To determine the cost of an additional pound of potatoes, we need to compare the opportunity cost. The opportunity cost of producing 100 pounds of potatoes is giving up 200 pounds of cabbage.

Therefore, the cost of an additional pound of potatoes is 2 pounds of cabbage (since 200 pounds of cabbage can produce 100 pounds of potatoes).

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The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.

In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.

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\(\\ \sf\longmapsto \dfrac{12.19}{5.7}\)

\(\\ \sf\longmapsto 2.14/lb\)

2.15/lb+2=2.17/lb

Brand 2 is a better deal and 2.17lb is the unit price

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Evaluating the expression, we find that f′′(2) = -76 + 8 = -68.

To find f′(0), we can use the product rule for differentiation. The product rule states that if we have a function f(x) = g(x)h(x), then the derivative of f(x) is given by f′(x) = g′(x)h(x) + g(x)h′(x).

In this case, we have f(x) = e^xg(x), so using the product rule, we can differentiate f(x) with respect to x:

f′(x) = e^xg′(x) + e^xg(x)h′(x)

Given that g(0) = 1 and g′(0) = 2, we can evaluate f′(0) by substituting these values into the expression:

f′(0) = e^0 * 2 + e^0 * 1 * h′(0)

= 2 + h′(0)

Since h′(0) is not specified, we cannot determine its exact value. However, we can conclude that f′(0) = 2.

Next, we are given that f′(x) = x^2f(x) for all x. To find f′′(2), we need to differentiate f′(x) with respect to x and evaluate it at x = 2.

Differentiating f′(x) = x^2f(x) using the product rule, we get:

f′′(x) = (2x)f(x) + x^2f′(x)

Substituting x = 2, we have:

f′′(2) = (2*2)f(2) + 2^2f′(2)

= 4f(2) + 4f′(2)

= 4(-19) + 4(2)

Evaluating the expression, we find that f′′(2) = -76 + 8 = -68.

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Answer:

C

Step-by-step explanation:

The resultant velocity and acceleration of the skier at t=4.00 sec on the ski jump path are 12.8 m/s and 45.9 m/s², respectively.

To find the resultant velocity, first find the velocity vector components using the parametric equations:

vx = 7.00t, vy = 0.48t³ - 6.00t²/√(t⁴+1)

At t=4.00 s, vx = 28.0 m/s and vy = 10.50 m/s. The resultant velocity is the magnitude of the velocity vector, given by:

|v| = √(vx² + vy²) = 12.8 m/s

To find the acceleration vector components, differentiate the velocity vector components with respect to time:

ax = 7.00 m/s², ay = 1.44t² - 12.00t/√(t⁴+1) - 6.00t³(t⁴+1)^(-3/2)

At t=4.00 s, ax = 7.00 m/s² and ay = 45.9 m/s². The acceleration vector magnitude is:

|a| = √(ax² + ay²) = 46.1 m/s².

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S satisfies all the conditions of being a subring of R, and we can conclude that S is indeed a subring of R.

To show that S is a subring of R, we need to verify the following three conditions:

1. S is closed under addition: Let x, y belong to S. Then, we have ax = 0 and ay = 0. Adding these equations, we get a(x + y) = ax + ay = 0 + 0 = 0. Thus, x + y belongs to S.

2. S is closed under multiplication: Let x, y belong to S. Then, we have ax = 0 and ay = 0. Multiplying these equations, we get a(xy) = (ax)(ay) = 0. Thus, xy belongs to S.

3. S contains the additive identity and additive inverses: Since R is a ring, it has an additive identity element 0. Since a0 = 0, we have 0 belongs to S. Also, if x belongs to S, then ax = 0, so -ax = 0, and (-1)x = -(ax) = 0. Thus, -x belongs to S.

Therefore, S satisfies all the conditions of being a subring of R, and we can conclude that S is indeed a subring of R.

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Answer:

THe number of freezers that can be shipped along with 50 ovens is 40

Step-by-step explanation:

total weight of ovens being shipped is 18000 lb. and in order to find the excess weight we have to subtract the ovens weight and the total carrier weight.

equation is:

42,000 - 18000= 24000 lbs.

you then divide the left over pounds by the weight of the freezers to get the total amount of freezers that can be put into a railcar.

24000/600=40

So 40 freezers and 90 ovens can fit within one railcar.

Answer:

166.6666 metres/second

Step-by-step explanation:

1 km/hr = 5m/18s

600*5/18

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Given the expression:

using the distributive property we get the following:

therefore, the simplified expression is 0

Answer:bottletle water

Step-by-step explanation:

Answer: Cereal water / Cereal in water

Step-by-step explanation:

Pretty much the flavor of cereal with the flavor of water

Answer: y=7(5)^x

Step-by-step explanation: