please help me i dont understand

The total area of the region in the first quadrant bounded by the lines y=5x, x=5, the curve y=5/x, and the x-axis is 60 square units.

To determine the area of the region in the first quadrant bounded by the lines and curves, we need to calculate the areas of the individual regions and then subtract the smaller areas from the larger ones.

The region can be divided into three parts:

1. The triangular region bounded by the line y=5x, the line x=5, and the x-axis.

2. The rectangular region bounded by the line x=5, the curve y=5/x, and the x-axis.

3. The triangular region bounded by the curve y=5/x, the x-axis, and the y-axis.

1. The area of the triangular region is given by (1/2) * base * height, where the base is the length from x=0 to x=5, and the height is the value of y=5x at x=5. Thus, the area is (1/2) * 5 * 25 = 62.5 square units.

2. The area of the rectangular region is given by length * width, where the length is the difference in x-coordinates between x=5 and the x-intercept of the curve y=5/x, and the width is the value of y=5/x at x=5.

The x-intercept of the curve y=5/x is found by setting y=0 and solving for x, which gives x=5. Therefore, the area of the rectangular region is (5-5) * (5/5) = 0 square units.

3. The area of the triangular region bounded by the curve y=5/x, the x-axis, and the y-axis is given by (1/2) * base * height, where the base is the length from x=0 to x=5, and the height is the value of y=5/x at x=5. Thus, the area is (1/2) * 5 * 1 = 2.5 square units.

Finally, the total area of the region is obtained by subtracting the smaller areas (regions 2 and 3) from the larger area (region 1). Therefore, the total area is 62.5 - 0 - 2.5 = 60 square units.

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Answer: x= 5/2

Step-by-step explanation::)

Answer:

1/2

Step-by-step explanation:

Prim number are 1, 2, 3, 4, 7, and 11. That is six numbers out of twelves, 6/12, is 50%.

Step-by-step explanation:

Similar by SAS property.

5/15 = 9/27, corresponding angles = 31°.

Answer:

6  1/4

Step-by-step explanation:

The point of collision is θ = π/6.

A curve's polar equation is often stated with r as a function of θ and represented in polar coordinates.

The given equations are r = √3 + 2cosθ and r = 4cosθ.

The characters will collide at the intersection of these paths, the intersection of the two equations is given by:

√3 + 2cosθ = 4cosθ

4cosθ - 2cosθ = √3

2cosθ = √3

cosθ = √3/2

θ = cos⁻¹(√3/2)

θ = π/6

Hence, the point of collision is θ = π/6.

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Answer:

27

Step-by-step explanation:

\(3^{3}\) is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.

Answer:

Step-by-step explanation: 3, because when 3 is cubed you get 27.

Answer:

-20

Step-by-step explanation:

-5-5-5-5=-20

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

Heat transfer rate due to free convection from a vertical surface of 1.2 m high and 0.45 m wide to quiescent air that is 47°C colder than the surface can be calculated by using the following formula :Q = h × A × ΔTWhere Q is the rate of heat transfer, h is the convective heat transfer coefficient, A is the surface area, and ΔT is the temperature difference between the surface and the surrounding quiescent air.

The convective heat transfer coefficient can be calculated by using the following formula :h = Nu × k / LWhere Nu is the Nusselt number, k is the thermal conductivity, and L is the characteristic length. In this case, the characteristic length is the height of the surface. The Nusselt number can be calculated by using the following formula :

Nu =\(0.68 + (0.67 × Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9 )^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9 × (Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9)^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9\)

Where Gr is the Grashof number, Pr is the Prandtl number, and L is the characteristic length. The Grashof number can be calculated by using the following formula :

Gr = gβΔT L³ / v²

Where g is the acceleration due to gravity, β is the coefficient of thermal expansion, ΔT is the temperature difference, L is the characteristic length, and v is the kinematic viscosity. The coefficient of thermal expansion can be calculated by using the following formula :

β = 1 / T_avg

Where T_avg is the average temperature of the surface and the surrounding quiescent air.

The kinematic viscosity can be calculated by using the following formula :

v = μ / ρ

Where μ is the dynamic viscosity and ρ is the density. The dynamic viscosity can be obtained from the given data. The density can be calculated by using the ideal gas law :

ρ = P / R T

Where P is the pressure, R is the gas constant, and T is the temperature. The pressure can be assumed to be constant. The gas constant can be obtained from the given data. State applicable assumptions : The surface is vertical. The flow is steady and laminar.

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

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1) Rounding those number to 4 significant digits

a. 431,801 = 431,800

b. 10,235.0 = 10240

c. 1.0348 = 1.035

d. 0.004384010 = 0.0040

e. 0.00078100 =0.0008

f. 0.0098641​ =0.009

The criteria are rounding up to those numbers greater than or equal to 5, and considering the how low is the number or how great it is.

Answer:

\(Center=(-2,-1)\)

\(r^2=5^2=25\)

\(So,(x+2)^2+(y+1)^2=25\)

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

hope it helps...

have a great day!!

Answer:

x=2 y=4

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

substitute the \(y = 2x\) for the \(y\) in \(x = -y + 6\)

\(x = -(2x) + 6\)

\(x = -2x + 6\)

\(3x = 6\)

\(x = 2\)

next take \(x = 2\) and input it into \(y = 2x\)

\(y = 2(2)\)

\(y = 4\)

so if \(x =2\) and \(y = 4\), the ordered pair solution is:

\((2,4)\)

Answer:

83.333% or 0.83333

Explanation:

Base on the given conditions, formulate:

\(\dfrac{1}{2} \div\dfrac{3}{5}\)

Write as a single fraction:

\(\dfrac{\dfrac{1}{2\times3} }{5}\)

Calculate the product or quotient:

\(\dfrac{\dfrac{1}{6} }{5}\)

Divide a fraction by multiplying its reciprocal:

\(\dfrac{5}{6}\)

get the result: 83.333% or 0.83333

Answer: 83.333% or 0.83333

These statistical measures help the researcher summarize, describe, and understand the data collected from the study participants.

As the researcher is describing the characteristics of the subjects, the appropriate statistical analysis would be descriptive statistics.

Descriptive statistics is a method that summarizes and describes the data collected in a study. It includes measures such as mean, median, mode, standard deviation, range, and frequency distribution.

These measures can provide a clear picture of the demographic data of the three groups of subjects and help in drawing meaningful conclusions.

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In ring theory, an ideal is a subring that has been multiplied on the left or right by the entire ring, or, equivalently, a subset of the ring that is closed under addition and multiplication by arbitrary elements of the ring. A second ideal of a ring R is a nonempty subset of R that is closed under addition and multiplication by all non-units in R.

The definition of a second ideal is therefore similar to that of an ideal, except that it is required that the ideal not contain any units of R, unlike the ideal, which can include units.

Singular ideals are a family of ideals of a commutative ring R that can be used to give information about the intersection of polynomial ideals with the set of singular points of an algebraic set defined by the ideals. The Z(R) singular ideal of a commutative ring R is the second ideal generated by the set of non-regular elements of R.

The difference between the singular ideal and the Z(R) singular ideal is that the singular ideal is the intersection of all ideals of R that vanish on the singular set of a variety defined by the ideal, while the Z(R) singular ideal is the second ideal generated by the set of non-regular elements of R.

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Answer:

2/5

Step-by-step explanation:

Answer:

These are the answers:

A) The mean, or average, is a measure of center.

D) Measures of variability describe how the values in a data set vary.

E) Measures of center describe all values in a data set with a single number.

The mean, or average is a measure of center

Measures of variability describe how the values in a data set vary.

Measures of Center describe all values in a data set with a single number

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The following statements about measures of center and variation are true:

The mean, or average, is a measure of center.

Measures of variability describe how the values in a data set vary.

Measures of center describe all values in a data set with a single number.

The statement "The range of data set is a measure of center" is false. The range is a measure of variability, not center.

The statement "The median of a data set is a measure of variability" is also false. The median is a measure of center, not variability

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Answer:

0.01^-2 = 10000

Step-by-step explanation:

we write it using the rules of indices as shown above

Answer: -2/3

Step-by-step explanation:

\(\displaystyle\\lg_{1000}0.01=\\\\lg_{10^3}10^{-2}=\\\\\frac{1}{3} lg_{10}10^{-2}=\\\\\frac{1}{3}(-2)lg_{10}10=\\\\ -\frac{1*2}{3} (1)=\\\\-\frac{2}{3}\)

\(~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm\sqrt{16}\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6\)

Answer:

\(x = - 2\)

\(x = 6\)

Step-by-step explanation:

\((x - 2)^{2} = 16\)

\(x - 2 = ± \: 4\)

\(x - 2 = - 4\)

\(x - 2 = 4\)

\(x = - 2\)

\(x = 6\)

Answer:

B

Step-by-step explanation:

-2-(-4) = -2 + 4

B shows subtracting 2 to the left then adding 4 to the right.

Answer:

B

Step-by-step explanation:

Answer:

2y(-2y3 + 3y2 + 4y - 1)

Step-by-step explanation:

They all have 2y

2y(-2y3 + 3y2 + 4y - 1)

The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

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Measurement of one of the acute angle is 80° and the other is 10° in a right angled triangle

What is an Acute angle?

When two rays collide at a vertex, an angle is created. An acute angle is one that is smaller than 90 degrees in length. The angle created by "Ray 1" and "Ray 2" in the illustration below is an acute angle. Additionally, when a right angle is split in half, two sharp angles result.

All of an acute triangle's angles are less than 90 degrees. An equilateral triangle is a unique type of triangle that is formed when all three of a triangle's angles measure 60 degrees. Acute scalene triangles, acute isosceles triangles, and equilateral triangles are the three types of acute triangles. The acute triangle is one of the many different kinds of triangles. The internal angles of the triangle below are all less than 90 degrees. As a result, it is known as an acute triangle.

According to the question

It is given the triangle is right angled

And the other Two angles are acute

one angle is 8 times the other

Let us take one angle is x

So, 8x+x = 90°

9x = 90°

x=10°

so the other angle is 80°

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a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Answer:

QUESTION:

answer 2x + 5 = 4x - 5

ANSWER:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 5

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

x = 5

Step-by-step explanation:

First you will need to add 5 to each side.

Then you need to subtract 2x to each side.

Lastly, you will need to divide each side by 2.

Answer:

$41.65

Step-by-step explanation:

Answer:

A lot

Step-by-step explanation:

Answer:

y = x + -5

Step-by-step explanation:

Solution

To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):

(1, -4):

(2, -3):

Thus, the equation is y = x + (-5).

Answer:

no

Step-by-step explanation:

this would not be considered a function

The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

Count the number of complete squares that are fully contained within the shape. Start from one corner of the shape and count each square until you reach the opposite corner. Include any partial squares as well.

If there are partial squares, estimate the area they cover. You can do this by visualizing how much of each square is filled by the shape and approximate the area accordingly.

Add up the areas of the complete squares and the estimated areas of the partial squares to find the total area of the shape.

Here we have 4 squares A, B, C, and D

Now count the number of unit squares covered by each square

Number of squares covered by A =  17

Hence, the Area of Square A = 17 units²

Number of squares covered by B = 20

Hence, the Area of square B = 20 units²

Number of squares covered by C = 13

Hence, the Area of square C = 13 units²

Number of squares covered by D = 37

Hence, the Area of square D = 37 units²

Therefore,

The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

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