A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach? responses 1. 9 feet 1. 9 feet 7. 0 feet 7. 0 feet 12. 7 feet 12. 7 feet 17. 0 feet.

Answer:

Graph                 Function?

Graph 1                 No

Graph 2                No

Graph 3                Yes

Graph 4                Yes

Graph 5                No

Graph 6                No

Step-by-step explanation:

For a graph to represent a function, for a single value of x there can be one and only one value of y

When examining the graph of a function, use the vertical line test to see if the graph represents a function.

Vertical Line Test

The vertical line test is helpful to find if the given equation represents a function or not. The vertical line test states that a vertical line needs to cuts the graph of a function(equation) at only one point, for it to represent a function. If the graph of the equation represented in the coordinate axis, is cut by the vertical line at more than one point, then the graph is not a function.

Determine whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines. and, as a result, any vertical line in the plane can intersect the graph of a function at most once.

For the given graphs, here are the results of the vertical line test

Graph #                      Vertical Line Test Result
Graph 1                        Fails
Graph 2                       Fails
Graph 3                       Succeeds
Graph 4                       Succeeds (vertical line intersects only one point)
Graph 5                       Fails
Graph 6                       Fails (vertical line through x =1 intersects 2 points)

The number of cartons of face masks and hand - sanitizers that Mod World bought were 19 cartons of cloth face masks and 5 cartons of hand sanitizer from Maleri Designs.

Let's assume that Mod World purchased x cartons of cloth face masks and y cartons of hand sanitizer.

The simultaneous equations would be :

x + y = 24

10x + 4y = 210

Using substitution we get the value of x to be:

x = 24 - y

When put in the second equation this is:

10x + 4y = 210

10(24 - y) + 4y = 210

240 - 10y + 4y = 210

-6 y = -30

y = 5

x would then be:

x + y = 24

x + 5 = 24

x = 19

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Answer:

1,800 grams

Step-by-step explanation:

Answer:

180,000

Step-by-step explanation:

if you add 80+40+60=180kg

180kg is equal to 180,000g

sorry if it is wrong.

The marginal revenue is 2752 dollar per unit of revenue function is given by R(q)=-7q²+400g.

The variance in the number of units sold is multiplied by the total change in revenue to determine marginal revenue. Here is how marginal revenue is determined: The difference between total income and output is the marginal revenue. Because it measures the increase in revenue from the sale of extra goods and services, marginal revenue is crucial. The law of diminishing returns, which asserts that any increase in production will result in smaller increases in output, has an impact on marginal revenue. The perfect level has been obtained as a result.

To find the marginal revenue, we obtain ,

R(q)=-7q²+400g.

q= 8

Marginal revenue= R(q)

MP(8)=-7(8)²+400×8

          =-7×64+3200=2752dollar per unit.

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Answer:

The easiest way to divide two numbers is to use a calculator. All you need to do is enter the two numbers and press the division symbol (÷). Another method is to use long division, which involves breaking down the two numbers into individual digits and then systematically dividing them. This method is particularly useful when dividing large numbers.

The area of the figure can be expressed using the formula A = (x + 1)2.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

This formula is derived from the fact that the figure is a square with sides of length x + 1. Since a square is a special type of rectangle, the area of a square is simply equal to the product of its two sides, or (x + 1)2.

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Answer:

11.2

Step-by-step explanation:

S(6, −2) to V(−4, 3)

d = sqrt[(-4 - 6)² + (-2 - 3)²]

d = 11.18

The key features of this rational function include the following:

Domain: (-∞, -2) ∪ (-2, ∞)

Range: (-∞, -1) ∪ (-1, ∞)

Y-intercept: -5/2.

X-intercept: -5.

Vertical asymptote: x = -2.

Horizontal asymptote​: y = -1.

In Mathematics, a rational function simply refers to a type of function  which is expressed as a fraction. This ultimately implies that, a rational function is composed of two (2) main parts and these include the following:

Additionally, the vertical extent of any graph of a rational function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

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The transformation from ABCD onto A'B'C'D' is a rigid transformation.

From the question, we have the following parameters that can be used in our computation:

A transformation maps ABCD onto A'B'C'D'

In order for a transformation to map square ABCD onto square A'B'C'D', certain congruence statements must be true.

The corresponding sides of ABCD and A'B'C'D' must have the same length i.e. AB = A'B', BC = B'C', CD = C'D', and DA = D'A'.

The corresponding angles of ABCD and A'B'C'D' must have the same measure i.e angle A = angle A', angle B = angle B', angle C = angle C', and angle D = angle D'.

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The six trigonometric functions' values for angle B in this right triangle are as follows: Tan(B) = 8/15 CSC(B) = 17/8 Sin(B) = 8/17 Cos(B) = 15/17 Tan(B) = 8/15 (rationalized denominator)

cot(B) = 15/8 sec(B) = 17/15.

[tex]c2 equals a2 + b2; c2 equals 82 + 152; c2 equals 64 + 225^2 = 289 \sc = √289 \sc = 17[/tex]

Thus, the hypotenuse's length is 17.

We must first get the measure of angle B before we can determine the values of the six trigonometric functions for that angle. Since angle C is a right angle and the total of the angles in a triangle is 180 degrees, we can calculate angle B's measure as follows:

angle B is equal to 90 times angle A, or 90 times angle B.

For now, since we lack sufficient data to estimate the size of angle A, angle B will be specified in terms of an unknowable angle. We are still able to calculate the six trigonometric functions for angle B using the ratios of the triangle's side lengths.

B = opposite/hypotenuse = a/c = 8/17;

B = adjacent/hypotenuse = b/c = 15/17;

B = opposite/adjacent = a/b = 8/15;

B = hypotenuse/opposite = c/a = 17/8;

B = cos(B) = (rationalized denominator)

Hypotenuse/nearby = c/b = 17/15; adjacent/opposite = b/a = 15/8; sec(B) = c/b = 17/15; cot(B) = b/a = 15/8.

For angle B in this right triangle, the values of the six trigonometric functions are as follows:

sin(B) = 8/17

cos(B) = 15/17

tan(B) = 8/15

csc(B) = 17/8 (rationalized denominator)

sec(B) = 17/15

cot(B) = 15/8

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Answer: Candles Cost $10 Each

Step-by-step explanation: Every single other question gains per hour/day while the candle cost always stays the same and you can come back a week later to find the candle to most likely still be 10$

Answer:

View Screenshot

Step-by-step explanation:

Therefore, the coordinates of point P are(-3+√(2), -5-√(2)).

A coordinate is a set of values that specifies the position of a point or an object in a geometric space. In two-dimensional Euclidean space (i.e., on a plane), the most common coordinate system is the Cartesian coordinate system, which consists of two axes, the x-axis and the y-axis, that intersect at a point called the origin. Any point in the plane can then be uniquely identified by its x-coordinate (its horizontal distance from the origin) and its y-coordinate (its vertical distance from the origin).

Here,

To find the coordinates of point P, we need to use the ratio given to divide the line segment AB into two parts.

Let's first find the coordinates of point A and B:

A = (-3, -5)

B = (1, -9)

The ratio given is 1:3, which means that AP:PB is also 1:3. Let's call the coordinates of point P (x, y).

We can use the midpoint formula to find the coordinates of the midpoint M of line segment AB:

M = ((-3+1)/2, (-5-9)/2) = (-1, -7)

Now, we can use the fact that AP:PB is 1:3 to set up the following equation:

AP/PB = 1/3

We can rewrite this as:

AP = (1/4) AB

where AB is the distance between A and B:

AB = √((1-(-3))²  + (-9-(-5))²)

= √(16+16)

=4√(2)

So, we have:

AP = (1/4) AB = (1/4) * 4√(2)

= √(2)

We also know that the vector AP is in the same direction as the vector AM, which goes from A to M:

AM = (-1-(-3), -7-(-5))

= (2, -2)

To find the vector AP, we can scale AM to have length sqrt(2):

AP = (√(2)/||AM||) AM

= (√(2)/2) (2, -2)

= (√(2), -√(2))

Finally, we can find the coordinates of point P by adding AP to the coordinates of A:

P = A + AP

= (-3, -5) + (√(2), -√(2))

= (-3+√(2), -5-√(2))

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Answer:

- 4

Step-by-step explanation:

(f + g)(3) = f(3) + g(3)

f(3) = - 5

g(3) = 1

f(3) + g(3) = - 5 + 1 = -4

The equations used to calculate the cost of a single tire patch are 22.2 - 4x = 1.9 and 4x + 1.9 + 22.2.

The statistic is said to be in its simplistic definition when divided into its smallest equivalent portion. How to further find the most basic form. Identify common factors in the denominator and the numerator. Verify a fractional integer to verify if it qualifies as a prime number. A remark having two quadrilateral and an identical sign in the middle is called an equation in mathematics. The general form of any issue contains the degrees of all the components in descending order. The basic form of a system of equations is an x + b = 0. The general form of a linear function with two variables is an x + b y + c = 0. (or something similar). Mathematics can be categorized as identity or conditional equations. An identity stands true regardless of the value given to the variables.

given

equations  4x + 1.9 + 22.2

22.2 - 4x = 1.9

It should all total up to $22.20 if you use the undetermined cost of the four tire patches as x, or $1.90 if you're deducting it.

The equations used to calculate the cost of a single tire patch are 22.2 - 4x = 1.9 and 4x + 1.9 + 22.2.

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The transformation from to f(x) = -√(x - 4) involves reflecting the function across the x-axis and shifting it 4 units to the right.

From the question, we have the following parameters that can be used in our computation:

f(x) = -√(x - 4)

The parent function is

f(x) = -√x

The transformation is represented as

f'(x) = (x - 4, -y)

This represents a reflection across the x-axis and a translation 4 units right

The transformed function is added as an attachment

From the graph, we have

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Refer to the attached images.

The equation for the graphed function is [tex]y=\frac{8\left(x-1\right)^2}{5\left(x-2\right)^2\left(x+2\right)}[/tex]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following asymptotes

x = -2 and x = 2

This means that the denominator of the function is

(x + 2) and (x - 2)²

(x - 2) is squared because the graph appears to turn (not intersect) at the zeros of x = 1 (close to x = 2)

So, we have

y = a/(x + 2)(x - 2)²

Where a is a real value

The zero is x = 1 with a multiplicity of 2 (because the curve turns at x = 1)

So, we have

y = a(x - 1)²/(x + 2)(x - 2)²

The y-intercept is (0, 0.2)

This means that

0.2 = a(0 - 1)²/(0 + 2)(0 - 2)²

So, we have

0.2 = a/8

Evaluate

a = 1.6

So, we have

a = 8/5

The function becomes

y = 8(x - 1)²/5(x + 2)(x - 2)²

Express properly

[tex]y=\frac{8\left(x-1\right)^2}{5\left(x-2\right)^2\left(x+2\right)}[/tex]

Hence, the equation is [tex]y=\frac{8\left(x-1\right)^2}{5\left(x-2\right)^2\left(x+2\right)}[/tex]

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Answer:

Step-by-step explanation:

(3x + 7y)(3x - 7y)  FOIL

9x² -49y²   yes, this is difference of two squares

(2x - 7y)(2x - 7y)   FOIL

4x² -14x -14x +49y²

4x² -28x + 49y²   not difference of two squares

9x²(5x - 7)    Distribute the 9x²

45x³ - 63x²   not difference of two squares because one term is cubed

(6x - 4y)²    Distribute the square term

36x² - 16y²   yes, difference of two squares

The degree measure of [tex]$\angle sap$ is $726^\circ - 4 \times \angle sop$.[/tex]

Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.

We can use the following formula to calculate the degree measure of $\angle sap$:

[tex]$\angle sap = 4 \times \angle sop - 174^\circ$[/tex]

Therefore, [tex]$\angle sap = 4 \times \angle sop - 174^\circ = 4 \times (180^\circ - \angle sop) - 174^\circ = 726^\circ - 4 \times \angle sop$[/tex]

Therefore, the degree measure of  [tex]$\angle sap$ is $726^\circ - 4 \times \angle sop$.[/tex]

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Answer:

Step-by-step explanation:

$1.49 = 149 cents

149 / 42 = ~4

4 cents per fork

Answer:

57%

Step-by-step explanation:

Let's consider the total number of students as 100%.

60% of all students are senior, which means that the rest (40%) are juniors.

Out of all senior students, 45% have school meals.

To find the percentage of senior students who have school meals, we should do the following:

[tex]\ \frac{45\% \times60\%}{100\%} = 27\%[/tex]

This is the percentage of students who are senior and have school meals.

We need to repeat the same procedure with junior students.

To do that, we need to find the 75% of 40% out of total, which is 100%.

[tex] \frac{75\% \times 40\% }{100\%} = 30\%[/tex]

This is the percentage of junior students who have school meals.

Finally we need to add up the percentages to find the total percentage of students who have school meals.

[tex]27\% + 30\% = 57\%[/tex]

Answer:you did not give us anyting for us to answer

Step-by-step explanation:

The number of solutions of the system y = 3x + 5 is one because it is a linear equation.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.

Linear equations are equations in which the variables are raised to the power of 1, and the graph of the equation is a straight line. As a result, there is only one solution to the equation, which is when the line intersects the x-axis. This means that the equation has only one set of x- and y-coordinates, where x is the independent variable and y is the dependent variable, that satisfy the equation. The x-coordinate of the solution is the same as the value of x that makes the equation true and the y-coordinate is the value of y for this same x-value.

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Answer:

W = 8cm

L = 19cm

Step-by-step explanation:

The first step to solving these problems is always writing the information that is given into 2 equations.

Piece of info #1: Length is 5cm less than 3 times the width

Piece of info #2: Perimeter (of the rectangle, which has 4 sides) is 54cm

Turing these into equations...

Equation 1) L = 3*W - 5

Equation 2a) L+L+W+W = 54

Let's simplify that second equation:

Equation 2b) 2L+2W = 54

Now, we just solve the system of two equations by substitution. Take the known value of L from equation 1 and substitute it in for the value of L in equation 2b:

2*(3*W-5)+2W = 54

Now we solve for W:

6W - 10 + 2W = 54

8W - 10 = 54

8W = 64

W = 64/8

W = 8 cm

Now that we know W, we can substitute its value into either equation 1 or equation 2 to find L. Here, I'll randomly choose equation 1.

Equation 1) L = 3*W - 5

L = 3*8 - 5

L = 24-5

L = 19 cm

Answer:

pooooooooooooooooooooooooooop hope this helps

Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

The opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

Two or more expressions with an Equal sign is called as Equation.

The Opportunity cost in this case is the amount of points that Jose has to forgo for picking one alternative.

If Joe had picked strategy B which would give Jose 90 points on statistics then that means that Jose would not have picked strategy A which gave a 94 in Economics.

Therefore instead of getting a 94, Jose would get a 77. The opportunity cost is therefore;

= 94 - 77

= 17 points

Hence, the opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

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The solution for the table has been provided below. It has been obtained by using arithmetic operations.

What are arithmetic operations?

Mathematicians claim that all real numbers may be described using the four basic operations, also referred to as "arithmetic operations." The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.

We are given a table of the number of crafts x and the number of ounces y.

x        4          9         7            6            5           5            4           8

y        19        46       30          31          23         28          21         42

xy     76       414      210        186        115         140        84         336

x²       16       81         49         36         25          25         16          64

y²       361     2116     900      961        529        784       441        1764

Hence, the table has been completed.

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The area of quadrilateral KECF is greater than area of triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that ABCD is a square.

points E and F are midpoints of sides BC and CD, respectively

Line segments AE and BF intersect each other at point K

k is the midpoint of the square.

We need to find whether the area of triangle AKF or the area of quadrilateral KECF is greater.

then the area of quadrilateral will be greater.

Hence, the area of quadrilateral KECF is greater than area of triangle.

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