CAN YOU PLEASE HELP ME CORRECT ANSWER GETS BRAINLIST !

As x and 68° are alternate interior angles, so, x = 68°.

We are given a set of parallel lines and a transversal.

We can see that:

The type of angle pairs is alternate interior angles.

( as it forms an inverted F-shape)

Now, these angles are 68° and x°.

So, we know that, the alternate interior angles are equal to each other.

So, we get that:

x = 68°

Therefore, as x and 68° are alternate interior angles, so, x = 68°.

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Answer:

The capacity of cylindrical rainwater tank is \(37.68 m^3\)

Step-by-step explanation:

Height of cylindrical tank = 3 m

Diameter of cylindrical tank = 4 m

Radius of cylindrical tank =\(\frac{diameter}{2} = \frac{4}{2} = 2 m\)

Volume of cylinder =\(\pi r^2 h\)

Volume of cylinder tank= \(3.14 \times (2)^2 (3)\)

Volume of cylinder tank=\(37.68 m^3\)

\(1 m^3\) =1 kilolitres

So, \(37.68 m^3\) = 37.68 kilolitres

Hence The capacity of cylindrical rainwater tank is \(37.68 m^3\)

To find an equation to describe the relationship between t and c you:

1. Find what is the dependent variable and the independent variable

In this case the total cost of the tickets depend of the number of tickets. Then:

Dependent variable is C

Independent variable is T

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

You can see in the table that the difference between the cost of the tickects is 165 for every 3 tickets. you find this by substracting the data in every column, as follow:

Then, the equation will be a lineal equation with a slope of:

You use a point of the lineal relationship to find the equation:

(2,110) t1=2 c1= 110

You use the next formula:

You replace the coordinates of the point and find the value of b:

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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The final value of x in the code segment is (b) 15

A code segment is a portion of a computer program or software application or block of code that is written in a programming language, and is designed to execute a specific function within the larger program.

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

x = 10

y = 20

if y <= 2 * x:

x = x + 5

else:

x= x * 2

In the above program statements, the if condition is true

i.e. y <= 2 * x

Using the above as a guide, we have the following:

x = x + 5

So, we have the following representation

x = 10 + 5

Evaluate the sum of like terms

x = 15

Hence, the value of x is 15

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Answer:

\(x=47/2\)

Step-by-step explanation:

Given:

\(\sqrt{2x-3+5}=7\)

Solution:

\(\sqrt{2x-3+5}=7\)

\(\sqrt{2x+2}=7\)

\(2x+2=7^2\)

\(2x+2=49\)

\(2x=49-2\)

\(2x=47\)

\(x=47/2\)

∴ The value of x is 47/2

Answer: \(x=\frac{47}{2}\quad \left(\mathrm{Decimal}:\quad x=23.5\right)\)

Step-by-step explanation:

\(\sqrt{2x-3+5}=7\)

\(2x+2=49\)

\(x=\frac{47}{2}\)

Answer:

Perimiter :: 24

Area :: 28

Step-by-step explanation:

please refer to the sketch fir the details

\(E = 2 + \dfrac{1}{4} \ \text{n}\)

\(n = 40\)

\(E = 2 + \dfrac{1}{4} (40)\)

\(E= 2 + 10\)

\(E = 12\)

Elena scored 12 points

it is reduced I think. so the answer would be 10

it is answer c/ x>-1

Step-by-step explanation:

4x-3>-7

add 3 to both sides

4x-3+3>-7+3

4x>-4

divide both sides by 4

4x/4 > -4/4

Problem

Solution

for this case we can see that

AB = DC

And we have also that

BO= CO

We also can see that:

< AOB = < COD

And the best answer for this case is:

B. side- side -side

Answer:

Step-by-step explanation:

Sarah swam the diagonal length of a right-angled triangle with sides of river width, 193m and how far she was swept downstream, 67m.

By Pythagorean Theorem, distance swam = sqrt(193^2+67^2)

= 204.3 m

Apply Pythagorean theorem

\(\\ \rm\rightarrowtail H^2=P^2+B^2\)

\(\\ \rm\rightarrowtail H^2=193^2+67^2\)

\(\\ \rm\rightarrowtail H^2=41738\)

\(\\ \rm\rightarrowtail H=204ft\)(Approx)

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

4

Step-by-step explanation:

because 25% times 4 makes 100 so it is 4

Answer:  -2

Explanation: The coefficient is the number to the left of the variable.

Another example would be that 10xy has the coefficient 10.

Something like x^2 has coefficient 1 because x^2 = 1x^2.

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

The average value of the function f(x,y) = 2e^y √(e^y + x) over the rectangle R = [0,4]x[0,1] is approximately 9.936.

This means that if we were to graph the function f(x,y) over the rectangle R and find the height of the "average" point, it would be approximately 9.936.

To find the average value of f(x,y) over R, we need to evaluate the double integral of f(x,y) over R and divide it by the area of R. We can use the formula:

fave = (1/A) ∬R f(x,y) dA

where A is the area of R.

To evaluate the double integral, we first integrate f(x,y) with respect to y, then with respect to x. This yields:

fave = (1/4) [2/3 ((2/5)(e + 4)^(5/2) - (2/5)e^(5/2) - (2/3)(4)^(3/2))]

Simplifying this expression gives us the approximate value of 9.936. This means that the "average" value of the function f(x,y) over the rectangle R is 9.936.

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The factor form of the cubic equation y = x³ + 3 · x² + x + 3 is y = (x² + 1) · (x + 3).

In this problem we find a cubic equation, that is, a polynomial of the form:

y = a · x³ + b · x² + c · x + d

Where a, b, c, d are the real coefficients of the polynomial. Herein we must use algebra properties to find the factor form of the expression:

y = a · Π (x - rₙ) for n = {1, 2, 3, ..., m - 1, m}

Where:

First, write the entire equation:

y = x³ + 3 · x² + x + 3

Second, use distributive property of real mumbers:

y = x² · (x + 3) + 1 · (x + 3)

Third, use distributive property of real numbers once again:

y = (x² + 1) · (x + 3)

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Answer:

That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.

Step-by-step explanation:

Answer:

reading  is easier  than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math  there for reading is easier than math

Step-by-step explanation:

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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In the equation f(x) = g(x-3), the value of h is -3, which represents a horizontal shift of 3 units to the right. This means that the entire graph of f(x) is shifted 3 units to the right compared to the graph of g(x). The phrase "3 units to the right" describes the phase shift in this case.

To determine the value of h in the translation, we need to examine the equation f(x) = g(x-3). In this equation, the value of h is -3, which represents a horizontal shift of 3 units to the right. To explain this, let's break it down step by step:

1. Start with the original function g(x).
2. The term (x-3) inside the function represents a horizontal shift. When x is replaced with (x-3), it means that the entire function is shifted 3 units to the right.
3. The new function f(x) is the result of this shift, and it is equivalent to g(x) shifted 3 units to the right.



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Answer:

area of triangle=1/2 (base×height)=1/2 (7×11)=38.5cm²

Answer:

y = 7x and y = 28

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 56 when x = 8 , then

56 = 8k ( divide both sides by 8 )

7 = k

y = 7x ← equation of variation

When x = 4

y = 7 × 4 = 28

The required sample standard deviation is approximately 8.83.

To calculate the sample standard deviation for the data set, {283, 269, 259, 265, 256, 262, 268}, follow the given steps below:

First we find the mean of the data set.

μ = (283 + 269 + 259 + 265 + 256 + 262 + 268)/7

= 266

Now, we Subtract the mean from each data value and then square it. (283 - 266)² = 289

(269 - 266)² = 9

(259 - 266)² = 49

(265 - 266)² = 1

(256 - 266)² = 100

(262 - 266)² = 16

(268 - 266)² = 4

Now, we add the squares obtained above

= (289 + 9 + 49 + 1 + 100 + 16 + 4)

= 468

Now, we divide the sum obtained by (n-1).

= (468/(7-1))

= 78

Take the square root of the quotient obtained above and we get

σ = √78 ≈ 8.83

Therefore, the sample standard deviation for the data set, {283, 269, 259, 265, 256, 262, 268} is approximately 8.83, which is the square root of the variance of the data set.

Thus, the sample standard deviation is approximately 8.83.

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Answer:

RO

Step-by-step explanation:

The segment which is a radius with center O is OR.

A radius is the distance between the centre of a circular item and its outermost edge or boundary. A radius is a dimension not only of a circle, but also of a sphere, semi-sphere, cone with a circular base, and cylinder with circular bases.

A circle is defined as the locus of a moving point in a plane whose distance from a fixed point is always constant.

As, the radius of the circle is the line which generate from the center and touches the surface of the circle.

Here in the figure

AS is the Diameter.

OA, OS and OR are the radius.

ST is the chord.

Thus, the required radius is OR.

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The linear speed of the smaller Ferris wheel is 40.8 meters per minute.  The linear speed of larger Ferris wheel is 71.4 meters per minute.

When a body rotates, each point on it moves in a circle. The point on the circumference of the Ferris wheel travels the farthest distance in a single rotation compared to other points. Hence, the linear velocity of a point on the circumference is directly proportional to its distance from the center.

The angular speed of both Ferris wheels is the same i.e., 3 rotations per minute. The smaller Ferris wheel has a radius of 8 meters and the larger has a radius of 14 meters.

To find the linear speed of the Ferris wheel, we use the formula v = rω.

Linear velocity of the smaller Ferris wheel:

(8 m)(3 rotations/min) = 24π m/min ≈ 40.8 m/min.

Linear velocity of the larger Ferris wheel:

(14 m)(3 rotations/min) = 42π m/min ≈ 71.4 m/min.

The larger Ferris wheel would feel 30.6 m/min ≈ 0.5 m/s faster than the smaller Ferris wheel.

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