Landscape company sold 25 trees on Friday. There were a total of 125 trees in inventory. What percent of the trees were sold on Friday?

\(\begin{cases} f(x)=-3x+5\\[1em] f(rx)=-3(rx)+5 \end{cases}\qquad \qquad \begin{cases} g(x)=-1x+5\\[1em] g(x)=f(rx)\\ \qquad -3(rx)+5 \end{cases} \\\\\\ \stackrel{g(x)}{-1x+5}~~=~~\stackrel{g(x)}{-3(rx)+5}\implies -x+5=-3rx+5\implies -x=-3rx \\\\\\ \cfrac{-x}{-x}=3r\implies 1=3r\implies \boxed{\cfrac{1}{3}=r}\)

The values of a and b are a = -3 and b = 42. The solutions for x can be written as:

x = -3 - √42

x = -3 + √42

To solve the quadratic equation 2x² + 12x = 66 by completing the square, we need to follow these steps:

Step 1: Move the constant term to the right side:

2x² + 12x - 66 = 0

Step 2: Divide the equation by the leading coefficient (2):

x² + 6x - 33 = 0

Step 3: To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation:

x² + 6x + (6/2)² = 33 + (6/2)²

x² + 6x + 9 = 33 + 9

x² + 6x + 9 = 42

Step 4: Rewrite the left side as a perfect square:

(x + 3)² = 42

Step 5: Take the square root of both sides:

√(x + 3)² = ±√42

x + 3 = ±√42

Step 6: Solve for x:

x = -3 ± √42.

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We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.

A thousand is a number that denotes the sum of 1,000 units or ten hundreds.

The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."

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The ratio of appaloosa to mustang horses is 12:40

The total number of horses is given as 52.

Number of white horses =12

Let the number of black horses be x

This means that ratio of white: black horses is 12 : x

Using the ratio above, we can find the number of black horses as follows:

\(\frac{x}{12+x} of 52 = x\)

\(\frac{52x}{12+x} = x\)

52x = x(12 + x)

\((12x + x^{2} ) = 52x\)

\(x^{2}\) + 12x - 52x = 0

\(x^{2}\) - 40x = 0

Taking out the common factor x from equation we have:

x(x - 40) = 0

This gives us with two solution:

x = 0 and x = 40

Since the question said there are some black horses, the x=0 value can be ignored. So we have x = 40

Hence,  The ratio of appaloosa to mustang horses is 12:40

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Answer:

P = 110 degrees

Explanation:

We were given the following information:

A quadrilateral NOPQ is inscribed in a circle. This makes the quadrilateral a cyclic quadrilateral

Angle P is supplementary to Angle N; both angles P & N sum up to 180 degrees:

Therefore, the angle at P equals 110 degrees

Allow flyers using racial slurs is not one of the EDI initiatives discussed in the case.

The EDI initiatives discussed in the case include creating an inclusive community where all students thrive, establishing goals to retain underrepresented groups, and implementing a 12-week training program. To create an inclusive community, the school administration must first determine the current state of the campus environment. This can be done through surveys and focus groups, which allow the administration to identify what areas need improvement and how best to address them. Establishing goals to retain underrepresented groups involves setting specific goals for the recruitment and retaining of underrepresented groups, such as increasing the number of faculty or students from underrepresented groups. Finally, implementing a 12-week training program requires developing an educational program to teach students about diversity, equity, and inclusion, and providing the necessary resources to ensure that these lessons are successfully implemented.

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Identity property of multiplication

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer:

X=10

Step-by-step explanation:

4.5x +55=100

Answer:

X=10

Step-by-step explanation:

4.5x +55=100

Answer:

-14

Step-by-step explanation:

(-6)(2) = -12

(-8÷4)​ = -2

-12 + -2 = -14

Therefore,  (-6)(2)+(-8÷4)​ = -14

Answer:

400

Step-by-step explanation:

The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, This method is called the Lincoln-Peterson Index of population size.

Given:

We have that y f(x), so solve for f(x):

And for f(4):

Answer:

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

It's an Irregular Quadrilateral

Step-by-step explanation:

It has 4 sides and the length of the sides of the Quadrilateral is not equal. This makes it irregular.

Answer:

Irregular Polygons

Step-by-step explanation:

Let's us first learn the definition of a polygon. A polygon is a closed shape figure that has a minimum of three sides and three vertices. The term ‘poly’ means ‘many’ and ‘gon’ means ‘angle’. Thus, polygons have many angles. The perimeter and area of polygon depend upon its types.

The classification of polygons is described based on the numbers of sides and vertices. For example, a polygon as four sides and four angles, then it is quadrilateral. The polygons up to 12 sides are the important ones. We are going to learn here polygon’s types based on the number of sides of the closed figure along with examples and diagrams.

Polygons are classified into various types based on the number of sides and measures of the angles. They are:

In a regular polygon, all the sides of the polygon are equal, and all the interior angles are the same. For example, a regular hexagon has six equal sides, and all its interior angles measure to 120 degrees.

A polygon with an irregular shape. It means the sides and angles of the polygon are not equal.

In a convex polygon, the measure of the interior angle is less than 180 degrees. It is exactly opposite to the concave polygon. The vertices of a convex polygon are always outwards

In a concave polygon, at least one angle measures more than 180 degrees. The vertices of a concave polygon are inwards as well as outwards.

Trigons are polygons who have three sides. They are nothing but triangles. These trigons or triangles are further classified into different categories, such as:

Quadrilateral polygon is also called a four-sided polygon or a quadrangle. The different types of the quadrilateral polygon are square, rectangle, rhombus and parallelogram.

The five-sided polygon is called pentagon polygon. When all the five sides of the polygon are equal in length, then it is called regular pentagon otherwise irregular pentagon.

Another type of polygon is the hexagon which has 6 sides and 6 vertices. A regular hexagon will have equal 6 sides and all its interior and exterior angles also measure equals.

The polygons whose all the sides are equal are called equilateral polygons, for example, an equilateral triangle, a square, etc.

The polygons whose all the interior angles are equal such as a rectangle are called equiangular polygons.

Using a system of equation, the amount in pounds of chocolate required is 4

Let :

Hence, we can create an equation thus :

0.45c + 6(1) = 0.78(6 + c)

0.45c + 6 = 4.68 + 0.78c

Collect like terms

6 - 4.68 = 0.78c - 0.45c

1.32 = 0.33c

Divide both sides by 0.33

c = 1.32 / 0.33

c = 4

Hence, 4 pounds of chocolate is required.

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Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

The value of the angle U from the calculation is 88 degrees.

The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).

By the use of the sine rule;

u/Sin U = w/Sin W

Thus;

76/Sin U = 71/Sin 69

Sin U = 76Sin 69/71

U = Sin-1 (76Sin 69/71)

U = 88 degrees

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Both balls will strike the ground simultaneously, but the faster ball will do so farther away from the table.

The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/\(s^{2}\)

They will strike the ground simultaneously if the table and the ground are both flat.

It is customary to divide an object's motion into a vertical component and a horizontal component. While they are on the table, neither of the balls is moving vertically. Both balls begin to accelerate downward as soon as they leave the table due to the effects of gravity. Given that both balls experience the same acceleration from gravity, they will fall at the same rate and with the same downward velocity.

Both balls will strike the ground simultaneously, but the faster ball will do so farther away from the table.

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An isosceles trapezium is a special case of a trapezium where both legs (non-parallel sides) have the same length. The base angles are also congruent.

The diagram contains a trapezium with both base angles (C and D) with the same tick mark, so they are congruent. Under this condition, the trapezium is isosceles and both legs have the same lengths, thus:

BD = AC = 31 cm

Answer: b. 31 cm

Answer:

\(y =5x+6\)

Step-by-step explanation:

In the equation, \(y=mx+b\), the "m" represents the slope, and the b represents the y-intercept.

We know the slope is 5, so we already know part of the equation: \(y=5x+b\)

To solve for the "b" part or y-intercept, we can simply plug in a known point on the line, which was given to be (-7, -29)

This gives us the following equation:

\(-29 = 5(-7) + b\\\text{simplify}\\-29 = -35 + b\\\text{add 35 to both sides}\\6=b\)

Answer: y = 5x + 6

Step-by-step explanation:

1. Do point-slope formula {(y - y1) = m(x - x1})

(y - 29) = 5(x - 7)

Distribute

(y - 29) = 5x - 35

Subtract 29 on both sides

Cancel out y - 29 - 29

y = 5x + 6

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer:

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

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

Answer:

ok

Step-by-step explanation:

i have a question i have no warnings or anything but im getting negative points why is that happening?

Answer:

i hope this is the right answer 1.25%

Step-by-step explanation:

6:4 and 6:5 is one away from each other so it must me 1.25%

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...

  y = constant

In order for that line to go through a point with y-coordinate 7, the line must be ...

  y = 7

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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Answer:

The percent markup is 91%.

Step-by-step explanation:

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

The percent markup is 91%.

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

Interest = $1897.09               Account Balance = $4397.09

Step-by-step explanation:

2500 x 1.019 = $4397.09 = Account Balance

4397.09 - 2500 = $1897.09  = Interest

The interest will the customer earn in 30 years is $1350, the account balance be after 30 years is $3850 and the customer earn $1350 interest.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

In the given that new bank customer with $2,500 wants to open a money market account. The bank is offering a simple interest rate of 1.8%.

So, the Principal Amout(P)  =$2500

Interest Rate(R) = 1.8%

(a) So we need to find the interest will the customer earn in 30 years.

the time (T)=30 years

Simple Interest; I=PRT/100

I=2500*1.8*30/100

I=1350

thus the interest will the customer earn in 30 years is $1350.

(b) Now we need  to find the account balance be after 30 years.

The account balance = Principal Amount+Interest Amount

The account balance = 2500+1350

The account balance = $3850

(c) Now we have to find the customer will earn $ in interest.

The customer earn $1350 interest.

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