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Anthropologists approximate the height of a primate by the size of its humerus (the bone from the elbow to the shoulder) using the equation

H = 1.2L + 27.8,

where L is the length of the humerus and H is the height, in inches, of the primate.


An anthropologist estimates the height of a primate to be 60 in. What is the approximate length of the humerus of this primate? Round to the nearest tenth of an inch.

in

At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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Answer:

Step-by-step explanation:

1. Fig.2 is harder to drive on. Because the gravity is pulling you to opposite direction. Thats why there's no such roads on hills, they always go round and round to make the roads easier to drive on.

2. Fig.2 will build up more speed, because gravity will pull unidirectional from you.

3. (Realitiscally) no, DONT TEXT AND DRIVE. Even if you are driving on a flat ground.

4. No, of course not. In situation no.1 and 2, you can drive like that because there is gravitational pull coming from x and y axis. But from situation no.4, the gravitational pull is from y axis only, so it will only pull you down.

Divide the total spent by the total feet:

$398.40 / 1000 = 0.3984 per foot.

Round the answer as needed.

The velocity in feet per second is the rate of change of position over time, and it can be either positive (eastward) or negative (westward) depending on the direction of travel.

Velocity is a vector quantity that describes both the speed and direction of an object's motion. In this case, the traffic safety engineer is studying travel patterns along a highway and recording the speed and direction of cars and trucks passing by the camera.

The velocity is determined by calculating the rate of change of position with respect to time. If a vehicle is moving eastward (towards the positive positions), its velocity would be positive in feet per second, indicating motion in the positive direction. On the other hand, if a vehicle is moving westward (towards the negative positions), its velocity would be negative in feet per second, indicating motion in the negative direction.

For example, if a car moves from the position x = 100 feet to x = 150 feet in 5 seconds, its velocity would be (150 - 100) feet / 5 seconds = 10 feet per second, assuming eastward motion. If it were moving in the opposite direction, from

x = -100 feet to x = -50 feet in 5 seconds, its velocity would be (-50 - (-100)) feet / 5 seconds = -10 feet per second, indicating westward motion

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Answer:

-4= -2/u

or, -4u= -2

or, u= -2/-4

u=1/2

The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year

Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.

Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.

B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.

C. The volcano is releasing much steam describes a qualitative observation of steam release.

D. Volcanoes are dangerous makes a general statement without providing specific numerical information.

E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.

Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.

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Answer:

They are similar.  Triangle abc is similar to triangle edc.

Step-by-step explanation:

To prove that triangles are similar, you must show that the 3 angles in one triangle are equal to the 3 angles in the other triangle.  We know that they both have a 50 degree angle.  We can also see that they both have a right angle.  That means that the 3rd angle must also equal 40 (180-90-50).  So by AAA the two triangles are congruent.

Triangle ABC is similar to triangle EDC.

Answer:

triangle ABC is similar to triangle DCE

Step-by-step explanation:

Reason being that angles in triangle ABC Correspond to That of triangle DCE Eg triangle ABC=CDE

The equation that has a solution of x = 2 is given as follows:

A number represents a solution to an equation when we replace each instance of the unknown variable by the number and the equality is true.

For this problem, we have that option b will have a solution of x = 2, as:

-3(7 - 2x) = -1 - 4x

-21 + 6x = -1 - 4x

10x = 20

x = 2.

Hence, replacing x = 2 on the equations, we have that:

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When one outcome is favored over another, we call this favoritism or preference.

When one outcome is favored or chosen over another, it is referred to as favoritism or preference. Favoritism implies a bias towards a particular outcome or individual, while preference suggests a personal inclination or choice.

This concept is commonly encountered in various contexts. For example, in decision-making, individuals may show favoritism towards a specific option based on personal preferences or biases. In voting, people may have a preference for a particular candidate or party. In sports, teams or players may be favored over others due to their past performance or popularity. Similarly, in competitions, judges or audiences may exhibit favoritism towards certain participants.

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When one outcome is favored over another, it signifies a subjective inclination or bias towards a specific result based on personal factors, and this preference can influence decision-making and actions.

When one outcome is preferred or desired over another, we commonly refer to this as a preference or favoritism toward a particular result. It implies that there is a subjective inclination or bias towards a specific outcome due to various factors such as personal beliefs, values, or goals. This preference can arise from a range of contexts, including decision-making, competitions, or evaluations.

The concept of favoring one outcome over another is deeply rooted in human nature and can shape our choices and actions. It is important to recognize that preferences can vary among individuals and may change depending on the circumstances. Furthermore, the criteria for determining which outcome is favored can differ from person to person or situation to situation.

In summary, when one outcome is favored over another, it signifies a subjective inclination or bias towards a specific result based on personal factors, and this preference can influence decision-making and actions.

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Rolling a total of 8 when two dice are rolled is more likely than rolling a total of 8 when three dice are rolled.

This is because there are more combinations of two dice that can add up to 8 (four combinations; 1-7, 2-6, 3-5, 4-4) than there are combinations of three dice (three combinations; 1-3-4, 2-2-4, 3-3-2).

Therefore, the probability of rolling a total of 8 with two dice is greater than the probability of rolling a total of 8 with three dice.

Additionally, the odds of rolling a total of 8 with two dice can be calculated using the formula (Number of favourable outcomes/Total number of outcomes) x 100%.

In this case, the formula would be (4/36) x 100%, which equals 11.11%. The odds of rolling a total of 8 with three dice is calculated using the same formula, which would be (3/216) x 100%, which equals 1.39%.

This shows that the odds of rolling a total of 8 with two dice is much greater than the odds of rolling a total of 8 with three dice.

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Answer:

x = 8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos 60 = adj side/ hypotenuse

cos 60 = 4/x

x cos 60 = 4

x = 4 / cos 60

x = 4 / .5

x = 8

Answer:

x = 8 cm

Step-by-step explanation:

To solve it ,given that it is a right angled triangle.

We can use trigonometry functions

cos 60° = adjacent side / hypotenuse

cos 60° = 4 cm / x

multiply each side by x

x × cos 60° = 4 cm × x / x

x cos 60° = 4 cm

divide each side by cos 60°

x × cos 60°/cos 60° = 4 cm / 60°

x = 4 cm / 0.5 . .( given :- cos 60° =0.4 )

x = 8 cm

The solution of the equation 16g + 3 = 4 - 13g is g = 1/29

An equation is a statement that two expressions are equal. In other words, it's a mathematical sentence that says that the value on the left side of the equation is equal to the value on the right side.

In your problem, you have the equation:

16g + 3 = 4 - 13g

To solve this equation, the goal is to isolate the variable "g" on one side of the equation, so we can find its value. To do that, we need to use some algebraic techniques.

First, we can simplify the equation by combining like terms. We can add 13g to both sides of the equation to get:

16g + 13g + 3 = 4

Now we can combine the like terms on the left side of the equation:

29g + 3 = 4

Next, we want to isolate the variable "g" on one side of the equation. To do that, we can subtract 3 from both sides of the equation:

29g = 1

Finally, we can solve for "g" by dividing both sides of the equation by 29:

g = 1/29

So the solution to the equation is g = 1/29.

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Complete Question:

I need help solving this assignment.

Solve the equations 16g+3=4–13g

A formula one race car will travel for 193.45 miles before changing its tires.

From the case, we know that:

tires diameter = 26 in.

1 set of tires = 150,000 rotations

12 in = 1 ft

1 miles = 5280 ft

We need to find the circumference of the tires before finding the total travel length.

Circumference = πd

Circumference = π(26in)

Circumference = 81.714 in.

We need to find the tires circumference in mile scale:

Circumference = 81.714 in : (12 inc/ft) : (5280 ft/miles)

Circumference = 0.0013 miles

Total travel distance = tires circumference x rotations

Total travel distance = 0.0013 x 150,000

Total travel distance = 193.45 miles

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The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm

Let w = length of the base edge

h = height of the box

A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,

675 cm² = w² + 4wh

4wh = 675 cm² - w²

h = (675 cm² - w²)/4w

The volume of the box is the product of the area of the square base and its height. Hence,

V = w²h

Substitute the expression of h to the equation of volume.

V = w²(675 cm² - w²)/4w

V = (675/4)w - (1/4)w³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(w) = 0

V = (675/4)w - (1/4)w³

675/4 - (3/4)w² = 0

Simplify and solve for the value of w.

675/4 - (3/4)w² = 0

(3/4)w² = 675/4

w² = 225

w = 15

length of the base edge = 15 cm

Solve for the value of h.

h = (675 cm² - w²)/4w

h = (675 cm² - (15)²)/4(15)

h = 7.5 cm

height of the box = 7.5 cm

Solve for the volume of the box.

V = w²h

V = (15 cm)²(7.5 cm)

V = 1687.5 cm³

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The number of possible outcomes is equal to the product of the number of outcomes of each event.

For the spinner with 5 sections, there are 5 possible outcomes.

For the coin flip, there are 2 possible outcomes (heads or tails).

For the spinner with 4 sections, there are 4 possible outcomes.

Therefore, the total number of possible outcomes is:

5 x 2 x 4 = 40

So there are 40 different possible outcomes if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, flips a coin, and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange.

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The required solutions to the given system of quadratic equations are; (3, 3) and (1, 3).

The system of quadratic equations can therefore be solved as follows;

Given; y = x² - 4x + 6 and y = -5x² + 20x - 12.

By substituting the expression which represents y in either of the equations; we have;

x² - 4x + 6 = -5x² + 20x - 12

6x² - 24x + 18 = 0

x² - 4x + 3 = 0

x = 3 and x = 1.

Therefore, the values of y which corresponds to the values of x above are;

y = (3)² - 4(3) + 6 = 3

y = (1)² - 4(1) + 6 = 3.

Therefore, the solutions to the pair of equations given are; (3, 3) and (1, 3).

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

B; the angles of the triangle and the hypothnuse can be multiplied.

Answer:answer

Step-by-step explanation: we’ll see to put it in a simpler way you are first going to have to joe nuts

Answer:

A D and E

Step-by-step explanation:

The statements true about the graph of the function are

a) The axis of symmetry is the line x = 6

b) The parabola opens down

c) The vertex of the graph is at (-6, -11)

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) = -3x² + 36x - 119

And , the vertex form of the function is

f ( x ) = -3 ( x - 6 )² - 11

Now , The axis of symmetry is the line x = 6. This is true because in vertex form, the equation of the axis of symmetry is given by x = h, where (h, k) is the vertex of the parabola. In this case, the vertex is (6, -11), so the axis of symmetry is x = 6.

The parabola has a minimum. This is also true because the coefficient of the x² term in the given equation is negative (-3), which means the parabola opens downward and has a minimum at the vertex.

Hence , the graph of the polynomial is solved

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Answer:

C

Step-by-step explanation:

reflection across the x-axis.

Tree M most closely reflects how the three species of  the spiny back are related to one another.

The branches of the tree, which are marked with the species names, demonstrate that the three species are all closely related, but still have distinct differences between them. For example, Species 1 and 2 share a relatively recent common ancestor, while Species 3 has a much more distant one. The species are represented as separate branches of the tree to show the different pathways of evolution that each species has taken.

In conclusion, Tree M most accurately reflects the evolutionary history of the three species of the spiny back. It shows that while they are all related, they still have distinct differences between them.

The complete question is:

A single species of fish, the three-species  spiny back, once inhabited a large lake. At some point in the lake's history, lava flowed from a nearby volcano into the lake cutting it into three completely isolated mini-lakes. Despite the heat from the lava, a few individuals from the original population of spiny back survive in each mini-lake. Three million years later, a researcher finds that each mini-lake is inhabited by its own species of spiny back. Which of the following figures MOST closely reflects how the three species of spiny back are related to one another?

A.) tree H B.) tree L C.) tree M D.) tree K.

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Answer:

2 - √5 is an irrational number

Step-by-step explanation:

The sum or difference between a rational number and an irrational number is always irrational.

Here 2 is a rational number and √5 is an irrational number. Hence 2 - √5 is an irrational number.

Answer:

2/15 or 0.13 repeating

Step-by-step explanation:

Explanation:

The simple harmonic equation is given below as

Concept:

The period of a sine function si calculated using the formula below

From the image below

By comparing coefficients, we will have

Hence,

The final answer is

Answer:

See below

Step-by-step explanation:

6y - 53 = 79      solve for y

then use this y-value in:

6 (y-value ) -53       +   x   = 180    solve for 'x'

To find the number of vinyl tiles needed to tile a kitchen measuring 24 ft. by 18 ft. with tiles measuring 8 in. each side, we need to convert all measurements to the same units.

First, we need to convert the kitchen measurements from feet to inches:

- 24 ft. = 24 x 12 = 288 in.
- 18 ft. = 18 x 12 = 216 in.

Next, we need to divide the length and width of the kitchen by the length of each tile to find the number of tiles needed in each direction:

- Length: 288 in. ÷ 8 in. = 36 tiles
- Width: 216 in. ÷ 8 in. = 27 tiles

Finally, we multiply the number of tiles needed in each direction to find the total number of tiles needed:

- Total tiles: 36 tiles x 27 tiles = 972 tiles



To tile a kitchen, it is important to accurately calculate the number of tiles needed to ensure that there is enough material to complete the job. In this case, we converted all measurements to the same units and then used division and multiplication to find the total number of tiles needed.



To tile a kitchen measuring 24 ft. by 18 ft. with vinyl tiles measuring 8 in. each side, we need a total of 972 tiles.

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Answer:

see below

Step-by-step explanation:

domain is all x values for which a graph has
and range is all y values for which a graph has

domain in this case is -4<x<4. The range is -3<= x <= 3

Function is increasing when slope of the line is positive, function is decreasing when slope of the line is negative.

When 2 lines meet and there is an edge like at (-1,3) there is no increase of decrease of the function. If you are in calculus, this is because the derivative of the function will not be valid at those points. If you are not in calculus, then don't pay attention to the derivative stuff.

Function is increasing on interval -4<x<-1 and 2<x<4
Function is decreasing on interval -1<x<2