What is the slope of a line parallel to the line whose equation is x+2y=10.fully reduce your answer

Answer:

the answer is number 9 m1

There are 125 participants in this sample. Thus, the margin of error = (1.96) x (0.5/√125) = 0.089

Margin of Error = (Critical value) x (Standard Deviation/Square root of Sample Size)

Critical value = 1.96

Standard Deviation = (30% x 70%)^0.5 = 0.5

Sample Size = 125

Therefore, Margin of Error = (1.96) x (0.5/√125) = 0.089

The margin of error for the survey results described can be calculated using the formula (Critical value) x (Standard Deviation/Square root of Sample Size). A 95% confidence interval's critical value is 1.96.The standard deviation is calculated by taking the square root of the product of the sample proportion (30%) and its complement (70%). There are 125 participants in this sample. Thus, the margin of error = (1.96) x (0.5/√125) = 0.089

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Answer:

\(\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}\)

General Formulas and Concepts:

Calculus

Step-by-step explanation:

Step 1: Define

\(\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2}\)

Step 2: Determine Rule

If the highest power of x in a rational expression is the same both numerator and denominator, then the limit as x approached ∞ would be the highest term coefficient in the numerator divided by the highest term coefficient in the denominator.

Step 3: Identify

Numerator highest power: x²

Denominator highest power: 5x²

Step 4: Evaluate

Apply rule.

\(\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}\)

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits

Book: College Calculus 10e

\(2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24\)

The rectangle that will side lengths of 5units and 4 units will have coordinate of A(3, 3), B(3, 7), C(8, 7), D(8, 3) ( option B)

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).

For a rectangle, the opposite sides are equal this means AB = C D and CB = AD

To verify the answer, The distance between AB = √((3– 3)² + (7– 3)²).

line AB = √0+16= 4units

line AD = √((8– 3)² + (3– 3)²).

line AD = √25+0

line AD = 5 units

therefore the sides of the rectangle are 5units and 4 units.

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The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

  ∠DQE = 65°

Step-by-step explanation:

You want to know the measure of Angle DQE in the given figure.

Triangle ADE is inscribed in a semicircle, so is a right triangle. That makes acute angle AED complementary to acute angle EAD. The latter is given as 50°, so ...

  ∠AED = 90° -50° = 40°

We know that tangent line QE is perpendicular to diameter AE, so angle AEQ is a right angle. Segment ED divides that right angle into complementary angles, so ...

  ∠DEA +∠DEQ = 90°

  ∠DEQ = 90° -∠DEA = 90° -40° = 50°

A.pex angle DEQ in isosceles triangle DEQ being 50° means that the base angles QDE and DQE will have measure ...

  ∠DQE = (180° -50°)/2 = 130°/2

  ∠DQE = 65°

__

Alternate solution

Let angles DQE and QDE be represented by x. Then the sum of angles in quadrilateral ADQE is 360°:

  50° +(90+x)° +x° +90° = 360°

  230° +2x = 360° . . . . . . simplify

  x = 130°/2 = 65° . . . . . solve for x

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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Assuming that a can of soup which has 60% water is mixed with two cans of water, the percentage mixture that is water is 87%.

Assuming the total quantity of a can is 100 ml, the quantity of water in the can of soup would be:

= 60% x 100

= 60 ml

If two more cans of water are added, the total amount of water is:

= 60 + 100 + 100

= 260 ml

The percentage of water is:

= 260 / (100 + 100 + 100)

= 87%

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The correct  equation is D. x2 + y2 + 6x − 24y + 148 = 0.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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Answer:

43

Step-by-step explanation:

angle sum property of quadrilateral

87+ 103 + 127+ x = 360

317 + x = 360

x= 360-317

x = 43

Answer:6.59

Step-by-step explanation:

Answer:

6.59

if you meant

10% of 65.9 then you answer is 0.659

Answer:

Step-by-step explanation:

The total of the interest is 1386 so in total it would be 5586

Answer:

Option B

Step-by-step explanation:

Given fraction is,

\(\frac{6}{6+\sqrt{12x}}\)

We will solve his fraction by rationalizing the denominator of this fraction.

\(\frac{6}{6+\sqrt{12x}}=\frac{6}{6+\sqrt{12x}}\times \frac{6-\sqrt{12x}}{6-\sqrt{12x}}\)

           \(=\frac{6(6-\sqrt{12x})}{6^{2}-(\sqrt{12x})^2}\)

           \(=\frac{6(6-\sqrt{12x})}{36-12x}\)

           \(=\frac{6(6-\sqrt{12x})}{6(6-2x)}\)

           \(=\frac{6-\sqrt{12x}}{6-2x}\)

Therefore, Option B will be the correct option.

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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The initial coordinates of ABC are:

A (-1, 2)

B (-3, 4)

C (-2, 5)

After a translation of (4, 4), the coordinates will be:

A (3, 6)

B (1, 8)

C (2, 9)

The only option that shows this translated position is option C.

Answer:

Simultaneous question

Step-by-step explanation:

let first nomber be x and the second be y

make an equation

x+y=-17

x-y=41

x+x= -17+41

2x=23

x-y=41

11.5-y=41

-y=41-11.5

-y = 29.5

Therefore the numbers are 11.5 and -29.5

creo que paco es el mayor. lo siento si me equivoco! no soy muy buena en las proporciones

Answer:

y = 3x + 2

Step-by-step explanation:

change in y ÷ change in x = gradient

6 ÷ 2 = 3

3 = gradient

equation of a straight line

y = mx + c

5 = 3(1) + c

5 = 3 + c

c = 2

confirmation

11 = 3(3) + c

11 = 9 + c

c = 2 (same = right)

substitute back in y = mx + c

y = 3x + 2

The value in the data set varies from 12 by an Average of 4.

The mean of the data set is 12 and the mean absolute deviation is 4.

Option 1: Each value in the data set varies from 12 by exactly 4.

This statement cannot be concluded based on the given information. The mean absolute deviation measures the average distance between each data point and the mean. It does not imply that each value varies by exactly 4 from the mean.

Option 2: Each value in the data set varies from 12 by an average of 4.

This statement is true. The mean absolute deviation of 4 indicates that, on average, each data point deviates from the mean by 4 units. It does not necessarily mean that each value varies by exactly 4, but the average deviation is indeed 4.

Option 3: No values in the data set are less than 8 or greater than 16.

This statement cannot be determined based on the given information. The mean and mean absolute deviation do not provide information about the specific values in the data set. It is possible for some values to be less than 8 or greater than 16 while still maintaining a mean of 12 and a mean absolute deviation of 4.

Option 4: Half of the values in the data set are 8, and half of the values in the data set are 16.

The  value in the data set varies from 12 by an average of 4.

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Answer:

Step-by-step explanation:

-3√(4)(10)  - √(16)(10)

-3(2)√(10) - 4√(10)

-6√(10) - 4√(10)

-10√(10)

Answer:

-17 degrees Fahrenheit.

Step-by-step explanation:

-12 minus 5 is -17

Answer: 7 square root 2 AKA the bottom one

Step-by-step explanation:

To determine that the functions f(x) and g(x) are inverses of each other, we would have to determine the compositions f(g(x)) and g(f(x)), and both of these compositions should be equal for the above-said statement to become true.

for example, let us assume that

f(x) =  2/(x-5)

g(x) = (2/x) +5

So,

f(g(x)) = 2/(((2/x) +5)-5)

=2/(2/x)

=x

and

g(f(x)) = (2/(2/(x-5))) +5

= (x-5)+5

= x

Since, both the compositions f(g(x)) and g(f(x)) are equal, we can conclude that f(x) and g(x) are inverses of each other

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Volume of the cylinder =  6838.92 cubic inches

We have to given that;

Sam needs to fill a cylindrical container with punch.

And, The container has a radius of 11 inches and a height of 18 inches.

Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.

Volume of a cylinder = πr²h

Where,

r=radius

h= height

Then,

π=22/7 or 3.14 (constant value)

r=11 inches

h=18 inches

Volume of a cylinder is,

= 3.14 × (11)² × 18

= 6838.92 cubic inches

Hence, Volume of the cylinder =  6838.92 cubic inches

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Answer:

The first sentence

Step-by-step explanation:

both sentences stay in past tense.

Answer:A

Step-by-step explanation:

Among the answer choices, the one that keeps a consistent verb tense is the following:

A. He jumped out of the airplane and deployed his parachute.

Verb tense refers to when the action takes place. It can refer to the past, the present, or the future.

A sentence has a consistent verb tense when the actions properly refer to the same time.

In other words, if all actions took place in the past, all the verbs in the sentence must be used in the past.

That is why letter A is the correct option. All the verbs, "jumped" and "deployed" are used in the Simple Past tense.

In the other options, there is no consistency.

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Answer:

49

Step-by-step explanation:

because it is the middle

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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