Range and domain ??
{(-3,0), (3,-7), (-1,-6), (-1,-5), (-5, -1)}

One must evaluate the function as the independent variable gets closer to the point from the provided side.

So in order to determine the limit of a function at a point from one side, one must evaluate the function as the independent variable gets closer to the point from the provided side. Take the subsequent function, for instance: scss. Copy the code f(x) = (x2 - 4) /. (x - 2)

You can evaluate the function for x values that are getting closer to 2 but always greater than 2 in order to determine the limit of this function as x approaches 2 from the positive side (i.e., as x goes closer and closer to 2 from values greater than 2). The function can be evaluated, for instance, at x = 2.1, x = 2.01, x = 2.001, and so forth. The function values will approach the target value as x approaches 2, which is 2. In order to determine the limit of this function as x approaches 2 from the positive side (i.e., as x goes closer and closer to 2 from values greater than 2). The function can be evaluated, for instance, at x = 2.1, x = 2.01, x = 2.001, and so forth.

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Answer:

10 packs

Step-by-step explanation:

Allie wants to give each of her classmates 3 pencils, so she needs a total of 3 pencils * 26 classmates = 78 pencils.

The pencils come in packs of 8, so she needs 78 pencils / 8 pencils per pack = 9.75 packs of pencils.

Since you can't buy a fraction of a pack, Allie needs to buy 10 packs of pencils.

Answer: 3.8 minutes!

Step-by-step explanation:

The answer is 3.8 minutes. To solve for t, we need to set up an inequality where the calories burned in routine #1 is equal to or greater than the calories burned in routine #2. We can write this as 22 + 5.75t ≥ 8.5t. Then, we can subtract 8.5t from both sides to get 22 ≥ -2.75t. Finally, we can divide both sides by -2.75 to get t ≤ -8/2.75, which simplifies to t ≤ 3.8. Therefore, Jane needs to run for 3.8 minutes in Routine #1 in order to burn at least as many calories as Routine #2.

Answer:

Jane needs to run for 8 minutes or less in Routine #1 for it to burn at least as many calories as Routine #2. If she runs for more than 8 minutes in Routine #1, then Routine #2 will burn more calories.

Step-by-step explanation:

In Routine #1, the total number of calories burned is:

C1(t) = 22 + 5.75t

The first term represents the calories burned while walking, and the second term represents the calories burned while running.

In Routine #2, the total number of calories burned is:

C2(t) = 8.5t

This represents the calories burned while running, as there is no walking in Routine #2.

We want to find the values of t for which C1(t) is greater than or equal to C2(t). So we can set up the following inequality:

C1(t) ≥ C2(t)

Substituting the expressions for C1(t) and C2(t), we get:

22 + 5.75t ≥ 8.5t

Simplifying the inequality, we get:

22 ≥ 2.75t

Dividing both sides by 2.75, we get:

t ≤ 8

So Jane needs to run for 8 minutes or less in Routine #1 for it to burn at least as many calories as Routine #2. If she runs for more than 8 minutes in Routine #1, then Routine #2 will burn more calories.

The horizontal distance between Ryan and the dolphin is  57.87 feet.

The airplane is 10735.96 feet away from the control tower

The angle of depression from the top of the lighthouse to the boat is 0 degrees.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Using trigonometry, we can find the horizontal distance x:

tan(15) = x / 228

x = 228 tan(15)

x = 57.87 feet

Therefore, the horizontal distance between Ryan and the dolphin is  57.87 feet.

2. Using trigonometry, we can find the horizontal distance between the airplane and the control tower:

tan(56) = x / 7450

x = 7450tan(56)

x = 10735.96 feet

Therefore, the airplane is approximately 10735.96 feet away from the control tower

3. We want to find the angle of depression from the top of the lighthouse to the boat. Since the lighthouse is 275 feet above the water, we can use trigonometry to find the height of the lighthouse above the boat:

tan(90) = 275 / x

x = 275 / tan(90)

x = undefined

Therefore, the angle of depression from the top of the lighthouse to the boat is 0 degrees.

Hence,  the horizontal distance between Ryan and the dolphin is approximately 57.87 feet.

the airplane is approximately 10735.96 feet away from the control tower

the angle of depression from the top of the lighthouse to the boat is 0 degrees.

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The  triangle is rotated 90° counterclockwise about the origin shown below.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

we have to rotate 90° counterclockwise about the origin.

as, the rule for 90° counterclockwise about the origin is (x, y) becomes

(-y, x).

As, the coordinates after rotation are :

(-8, 3)---> (-3, -8)

(-2, 8)---> (-8, -2)

(-5, 7) -----> (-7, -5)

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The figure below illustrates constructing: A. a bisector of a segment.

In Mathematics, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.

In Mathematics, an angle bisector can be defined as a type of line, ray, or segment, that bisects or divides a line segment exactly into two (2) equal angles.

By critically observing the construction illustrated in the image attached above, we can logically deduce that it represents the bisector of line segment AB.

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A rigid motion maps each part of a figure to an Rotation.

What is rotation ?

In physics, rotation refers to the movement of an object around an axis or a fixed point. When an object rotates, every point on the object moves in a circle around the axis of rotation, and the object typically completes one full rotation or revolution after it has moved a full 360 degrees around the axis.

The study of rotation in physics is important in many fields, including mechanics, electromagnetism, and quantum mechanics. Rotational motion is characterized by several key parameters, including the angle of rotation, the angular velocity (how fast the object is rotating), and the angular acceleration (how quickly the angular velocity is changing).

In addition, rotational motion is subject to a number of physical laws and principles, such as Newton's laws of motion, which describe the relationship between the forces acting on a rotating object and its resulting motion. Other principles, such as the conservation of angular momentum, relate to the conservation of the rotational energy of a system as it undergoes rotational motion.

Therefore, a rigid motion maps each part of a figure to an Rotation.

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The length of the side AB in triangle ABC is 6.58 units.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjacent/hypotenuse and

tan = opposite/adjacent.

From the given figure we can conclude that we have length of the adjacent

with an angle of 20° and we have been asked to find the hypotenuse.

We know cos = adjacent/hypotenuse.

∴ cos20° = adjacent/7.

0.937 = adjacent/7.

adjacent = 7*0.937.

adjacent = 6.58.

Hence , the length of the side AB in triangle ABC is 6.58 units.

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The number of minutes that you walk directly from the parking lot to the house will be 12.73 minutes.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The house is located 1480 ft down a paved path that parallels the beach, which is 740 ft wide. Along the path, you can walk 330 ft/min, but on the beach, you can only walk 130 ft/min.

The distance between the house and the parking is given as,

d² = 740² + 1480²

d² = 547,600 + 2,190,400

d² = 2,738,000

d = 1,654.69 feet

Then the time taken is given as,

T = 1,654.69 / 130

T = 12.73 minutes

The number of minutes that you walk directly from the parking lot to the house will be 12.73 minutes.

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3/5 = 0,6, it is 0.6 × 100 = 60%

Therefore, 3/5 is expressed as 60% in terms of percentage.

Percentage:

In mathematics, a percentage is a number or ratio that represents a fraction of 100. This is one way of representing a dimensionless ratio between two numbers. Other methods include ratios, fractions, and decimals. Percentage is often indicated by writing a "%" sign after the number.

According to the Question:

To convert a fraction to a decimal, it's always best to look at the denominator first. If the denominator only has prime factors of 2 and 5, you can easily pick a number multiplied by the denominator and convert it to a denominator that is a power of 10, and the result is the final prime number. If you have prime factors other than 2 and 5, converting to decimal takes longer and can result in infinite but repeating decimals.

In this case, the denominator is 5, so you can easily convert to decimal by multiplying the denominator and numerator by 2.

(3 × 20) / (5 × 20) = 60/100

Now,

To convert a fraction to a percentage, simply multiply by 100 and put a % sign next to the result.

As 3/5 = 0,6, it is 0.6 × 100 = 60%

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Answer: 1181

Step-by-step explanation:

A medium-sized orange contains 68 calories. Which is one-fifth the number of calories in a slice of cheese pizza.

If one slice of cheese pizza contains 340 calories, and a medium-size orange has one-fifth that number of calories, we can find the number of calories in a medium-size orange by dividing 340 by 5. Calories in a medium-sized orange = [tex]\frac{340}{5}[/tex] calories = 68 calories. The division is an arithmetic operation used to find out how many times one number is contained within another number. The result of a division operation is called the quotient.

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Answer:

622.03

Step-by-step explanation:

The standard deviation lies in the range of 0 to 1. The numerical value of standard deviation can never be negative.

The standard deviation is a measure of amount of variation or dispersion of a set of values. When we compare two unequal observations, the result is always greater than zero i.e., always positive.

Standard deviation is the square root of the variance of the observations and the root always gives values either positive or zero, it can never be negative.

Therefore, the numerical value of the standard deviation can be positive. The value of standard deviation is always greater or equal to zero.

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Answer:

Answer: x=12

6 x 12=72

Answer:

x = 12 .....................

Step-by-step explanation:

.

The value of f(3/4) is 5/4.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a function.

f(x) = 2x - 1/4

We have to find the value of the function when the input value x = 3/4.

For that, substitute 3/4 in place of x.

f(3/4) = (2 × 3/4) - 1/4

         = 6/4 - 1/4

         = 5/4

Hence the value of the function is 5/4.

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Answer:

This is Non-terminating

decimal: 0.777

Step-by-step explanation:

H0: mean=1.45

H1: mean< 1.45

=-3.175

The result is significant at p < .01.

Reject Null Hypothesis

the mean level of exhaust emitted for this model reduces emissions

A)

Null hypothesis:

H0: mean=1.45

Alternative hypothesis:

H1: mean< 1.45

b)

estimate - the value we hypothesize standard error test statıstıc - t-statisticS

[tex]\begin{gathered}\text { test statistic }=\frac{\text { estimate }-\text { value we hypothesize }}{\text { standard error }} \\\text { t-statistic }=\frac{\bar{x}-\mu_o}{s / \sqrt{n}}\end{gathered}[/tex]

t=1.21-1.45/0.4/sqrt(28)

=-3.175

c)

t=-3.175

df=28-1=27

alpha=0.01

The P-Value is .001863.

The result is significant at p < .01.

d)

p=0.001

< alpha of 0.01

Reject Null Hypothesis

e)

there is sufficient evidence

the mean level of exhaust emitted for this model reduces emissions

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Answer:

the answer is y=/0.375x

Step-by-step explanation:

The value of the expression is -8. Option A

It is important to note that algebraic expressions are expressions that are made up of variables, terms, coefficients, constant and factors.

From the information given, we have that;

3x-6= 5x - 2

collect like terms

3x - 5x = -2 +6

subtract the like terms

-2x = 4

Make 'x' subject

x = -2

Substitute the value in the equation

2x - 4

2(-2) - 4

expand bracket

-8

Hence, the value is -8

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Answer:

<P = 41

Step-by-step explanation:

we can consider this first figure as a quadrilateral and the trianlgle attached to be is equilateral triangle (as it is already shown in the figure that sides are equal)

we know that each angle of equalateral triangle is 60°

we can see that angle 79° is attached to it and even other angle is also attached

let the other angle be x

we can notice that x and the angle of equi triangle make a linear pair

so 180 - 60

= 120°

the opposite angle to the angle x will be also equal as angles on the same side of qual sides will be equal

now we know that total angle sum of quadrilateral is 360°

so

79 + 120 + 120 + <P = 360

319 + <P = 360

<P = 360 - 319

<P = 41

Answer: 2.3716 <-------- This is the Code

Step-by-step explanation:

1.4 x 2.5 = 3.5

2.2 x 2.5 = 5.5

1.4 x 0.2 = 0.28

2.2 x 0.2 = 0.44

3.5 x 0.28 = 0.98

5.5 x 0.44 = 2.42

Then:

X         1.4           2.2

2.5      3.5          5.5

          - x -          - x -    

0.2      0.28        0.44

           - = -           - = -

        0.98  x    2.42 = 2.3716 <-------- This is the Code

The values for x by completing the given steps to solve for |x/6 - 7/12| = 11/6 is x=29/2 or x= -15/2.

A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables.

Given is a modulus function, |x/6 - 7/12| = 11/6

Solving for x,

Negative Direction;

x/6 - 7/12 = -11/6

x/6 = -22/12 + 7/12 = - 15/12

x = (-15/12)6 = -15/2

x = -15/2

Positive Direction;

x/6 - 7/12 = 11/6

x/6 = 22/12 + 7/12 = 29/12

x = (29/12)6 = 29/2

x = 29/2

Hence, the values for x by completing the given steps to solve for |x/6 - 7/12| = 11/6 is x=29/2 or x= -15/2.

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The question is not complete the similar question is solved.

Answer:

4/7 to decimal rounded to nearest thousandth is 0.571

Answer:

47% for rolling a blue and 33% for rolling a red

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 25 inches

Step-by-step explanation:

The equation for area of a rectangle is Length x Width, since we have the width which is 20 in., we can multiply it by a variable and set it equal to 500.

20(b)=500

divide both sides by 20

b=25

Answer:

3,293 yards are more than a mile

Step-by-step explanation:

1 mile is 1,760 yards. Thereby, we know that 3,293 is more than 1,760.

Answer: 3,293 yards is more than a mile since a mile is 1,760 yards

Step-by-step explanation:

2 miles are 3,520 yards which can further prove that 1 mile is way less the 3,293 yards

Hope this helped

The 4-2-1 rule is a guideline used to help determine the amount of water an individual needs to drink each day.

The rule states that an individual should drink 4 liters of water for every 50 pounds of body weight, 2 liters of water for every 50 pounds of body weight if they are exercising, and 1 liter of water for every 50 pounds of body weight if they are in a hot or dry environment.

To calculate how much water you need to drink using the 4-2-1 rule, simply follow these steps:

1. Determine your body weight in pounds.
2. Divide your body weight by 50 to get the number of 50-pound increments in your weight.
3. Multiply the number of 50-pound increments by 4 to get the amount of water you need to drink if you are not exercising or in a hot or dry environment.
4. Multiply the number of 50-pound increments by 2 to get the amount of water you need to drink if you are exercising.
5. Multiply the number of 50-pound increments by 1 to get the amount of water you need to drink if you are in a hot or dry environment.
6. Add the amounts from steps 3, 4, and 5 together to get the total amount of water you need to drink each day.

For example, if you weigh 150 pounds, you would need to drink 4 liters of water for every 50 pounds of body weight (150 / 50 = 3), 2 liters of water for every 50 pounds of body weight if you are exercising (3 x 2 = 6), and 1 liter of water for every 50 pounds of body weight if you are in a hot or dry environment (3 x 1 = 3). Therefore, you would need to drink a total of 13 liters of water each day (4 + 6 + 3 = 13).

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Answer: You can make 5/3 * (1/1) = 5 servings with a cup of macaroni.

And, with 5 servings, you can make 5 * (3/1) = 15 1/3 servings of pasta salad.

Step-by-step explanation: