7/16 in decimal form​

the awnser is

4.0/5. 7. calculista

To estimate the area under the graph of f(x) = 20x from x = 0 to x = 4, we can use the concept of numerical integration, specifically the trapezoidal rule.

The trapezoidal rule approximates the area under a curve by dividing the interval into small trapezoids and summing up their areas.

Here's how we can estimate the area using the trapezoidal rule:

Since we don't know the specific value of n, let's assume we divide the interval into 4 subintervals, resulting in Δx = (4 - 0) / 4 = 1.

Now, let's calculate the estimated area using the trapezoidal rule:

Area ≈ [(f(0) + f(1)) * Δx / 2] + [(f(1) + f(2)) * Δx / 2] + [(f(2) + f(3)) * Δx / 2] + [(f(3) + f(4)) * Δx / 2]

Substituting the values of f(x) = 20x:

Area ≈ [(20(0) + 20(1)) * 1 / 2] + [(20(1) + 20(2)) * 1 / 2] + [(20(2) + 20(3)) * 1 / 2] + [(20(3) + 20(4)) * 1 / 2]

= [(0 + 20) * 1 / 2] + [(20 + 40) * 1 / 2] + [(40 + 60) * 1 / 2] + [(60 + 80) * 1 / 2]

= [10] + [30] + [50] + [70]

= 160

Therefore, the estimated area under the graph of f(x) = 20x from x = 0 to x = 4 is approximately 160 square units.

For more questions like Integration click the link below:

brainly.com/question/30900582

#SPJ11

Answer:

-6x^2 - 7x +1

Step-by-step explanation:

2x^2+3x-9  -(8x^2+10x-10)

3x^2+3x-9 -8x^2-10x+10

Combine like terms

-6x^2 - 7x +1

The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.

Equation of plane passing through (x1,y1,z1) is given by

A(x-x1)+B(y-y1)+C(z-z1)=0

where, A, B, and C are direction ratios

In the question, it is given that the plane passes through (1,2,1)

So, the equation of the plane will be in the form,

A(x-1)+B(y-2)+C(z-1)=0

It is also given that the plane is perpendicular to give 2 planes.

So, their normal to the plane would be perpendicular to the normal of both planes.

So, the required normal is a cross-product of the normals of planes

x-y-z-10=0 and x-2y+z-2=0

i.e,

-3i-2j-k=0

so, the direction ratios,

A=-3, B=-2, C=-1

putting the direction ratios in the previous equation of the plane,

-3(x-1)-2(y-2)-1(z-1)=0

-3x+3-2y+4-z+1=0

-3x-2y-z+8=0

is the required equation of the plane

Learn more about the equation of the plane on

https://brainly.com/question/27190150?referrer=searchResults

#SPJ4

The tent with the assumed parameters is tall enough for the sisters to stand up inside.

Assuming a reasonable height for a typical tent, which is around 6 feet, it should be tall enough for both sisters to stand up inside if they are both over 5 feet tall.

In this case, we can imagine the tent as a triangular prism, with the sloping sides forming a right triangle.

Let's call the height of the tent "h," the length of the base "b," and the length of the sloping side "s."

Using the Pythagorean theorem, we can write:

s^2 = h^2 + (b/2)^2

Since we know that each sister is over 5 feet tall, we can set h = 5 feet. We also know that the base of the tent is usually wider than it is tall, so we can assume a reasonable value for b, such as 8 feet.

Substituting these values into the equation above, we get:

s^2 = 5^2 + (8/2)^2

s^2 = 25 + 16

s^2 = 41

Taking the square root of both sides, we get:

s ≈ 6.4 feet

Since this is greater than the height of both sisters (which is 5 feet), we can conclude that the tent is tall enough for them to stand up inside.

Read more about pythagoras theorem at

https://brainly.com/question/654982

#SPJ1

Answer:

I'm just doing this to get points

Answer:

25a^2  

Step-by-step explanation:

Answer:

The answer is \(25a^2\)

Step-by-step explanation:

Hope this helped! Enjoy!

Correct me if I am wrong tho

Answer:

(2, -1)

Step-by-step explanation:

The given formula is y + 1 = -1/4 (x - 2)²

Vertex form of a parabola is y = a(x - h)² + k

To get the given formula in vertex form, subtract 1 from each side. The equation for the parabola becomes:

y = -1/4 (x - 2)² - 1

From this, we can take out (h, k), the vertex, and see that it is at (2, -1).

Answer:

a) 60 km

b) if it means 1 pm to 5 pm than answer will be 240 again

c)100/60

The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

To learn more about : relation

https://brainly.com/question/30056459

#SPJ8

Answer:

The answer is 4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The value of C is 1/9 for the probability density function using integration.

We know that the probability density function (pdf) integrates to 1 over the interval [0, a]:

∫[0,a] cx^n dx = 1

Substituting the given values for n and a, we get:

∫[0,3] cx^2 dx = 1

Integrating with respect to x:

c ∫[0,3] x^2 dx = 1

c [x^3/3] from 0 to 3 = 1

c (3^3/3 - 0) = 1

c = 1/9

To know more about probability density function,

https://brainly.com/question/17005126

#SPJ11

The general solution of the differential equation is:

y = Ax^-5 + Bx^-5ln(x)

where A and B are constants determined by the initial or boundary conditions.

To solve the differential equation x^2y'' + 11xy' + 25y = 0, we can assume the solution to be of the form y = x^r, where r is a constant.

Then, we have:

y' = rx^(r-1)

y'' = r(r-1)x^(r-2)

Substituting these into the differential equation, we get:

x^2y'' + 11xy' + 25y = x^2r(r-1)x^(r-2) + 11xrx^(r-1) + 25x^r = 0

Dividing both sides by x^2, we have:

r(r-1) + 11r + 25 = 0

Simplifying, we get:

r^2 + 10r + 25 = (r+5)^2 = 0

Therefore, r = -5.

Thus, the general solution of the differential equation is:

y = Ax^-5 + Bx^-5ln(x)

where A and B are constants determined by the initial or boundary conditions.

Learn more about  equation here:

https://brainly.com/question/31433890

#SPJ11

Answer:same brooo and nobody is helping me :’(Step-by-step explanation:

Answer:

y = 3x + 12

Step-by-step explanation:

For the equation of the perpendicular bisector we have to first find the midpoint of the two end points.

\(M(x,y)=(\frac{4+(-8)}{2},\frac{4+8}{2})\\\\M(x,y)=(-2,6)\)

Now we need to find the slope of the line .

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m= \frac{8-4}{-8-4}\\\\m=\frac{4}{-12} \\\\m=-1/3\)

Now the slope of the perpendicular line is,

\(m_1m_2=-1\\\\-\frac{1}{3}m_2=-1\\\\m_2=3\)

Now to find the equation of line ,  we use Point-slope form:

\(y-y_1=m(x-x_1)\\y-6=3(x-(-2))\\y-6-3(x+2)\\y-6=3x+6\\y=3x+12\)

Answer:

Step-by-step explanation:

Commission = 2% of 2,50,000

                     \(= \frac{2}{100}*250000\\\\= 2 * 2500\\\)

                     = Rs. 5000

Answer:

the third one

Step-by-step explanation:

Answer:

The 3rd

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

3*4=12

4*4=16

Answer:

b. 30

Step-by-step explanation:

Answer:

The ans is 30 .

Step-by-step explanation:

y + 150= 180 ( being co-interior angle)

y = 180-150

y= 30

The lengths of the three sides are 14 feet, 19 feet and 23 feet respectively.

The formula for determining the perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where; a, b and c are the length of the sides

From the information given, we have that;

56 = 2z- 5 + 5 + z + z

collect like terms

56 = 4z

Make 'z' the subject of formula

z = 56/4

z = 14

Shortest side, z = 14 feet

Second side, y = 5 + z = 19 feet

Third side, x = 2z - 5 = 2(14) - 5 = 23 feet

Hence, the values are 14 feet, 19 feet and 23 feet respectively.

Learn more about triangles here:

https://brainly.com/question/14285697

#SPJ1

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

Learn more about nominal scale visit:

brainly.com/question/28465126

#SPJ11

Answer:

62.87in^2

Step-by-step explanation:

area=88in^2

semicircle area=25.13in^2

88-25.13=62.87

area=62.87in^2

When the cylinder's radius is quadrupled, its capacity is 360 cm3.. The new radius is 12 cm and the height is still 5 cm.

The volume of a cylinder is calculated by multiplying the area of its base (πr²) by its height (h). When the radius of the cylinder is tripled, the new radius would be 12 cm and the height would still be 5 cm. Therefore, the new volume of the cylinder is calculated by multiplying the area of its base (π x (12 cm)²) by its height (5 cm). This results in 360π cm³. To calculate this in a more simplified form, 120π cm³ (which is the original volume) can be multiplied by 3, since the radius is tripled. The result of this multiplication will be the same as 360π cm³. This demonstrates that the volume of the cylinder when its radius is tripled is 360π cm³.

Learn more about radius here

https://brainly.com/question/15047456

#SPJ1

Interpreting a correlation requires careful consideration of factors such as causation, confounding variables, nonlinearity, outliers, and sample characteristics.

Interpreting a correlation between two variables can be difficult for several reasons:

Causation vs. correlation: Correlation measures the strength and direction of the relationship between two variables but does not imply causation. Just because two variables are correlated does not mean that one variable causes the other. It is essential to avoid making causal claims based solely on correlation.

Confounding variables: Correlations can be influenced by the presence of confounding variables that affect both variables being studied. Without accounting for these confounding factors, it can be challenging to determine the true nature of the relationship between the variables of interest.

Nonlinear relationships: Correlation coefficients, such as Pearson's correlation coefficient, measure linear relationships between variables. If the relationship is nonlinear, the correlation may not accurately capture the association. It is crucial to consider other types of analysis or transformations to capture more complex relationships.

Outliers and influential observations: Extreme values or outliers in the data can have a significant impact on correlation coefficients. These outliers may distort the correlation and lead to incorrect interpretations. It is important to examine the data for influential observations that may unduly influence the correlation results.

Sample size and representativeness: The size and representativeness of the sample can affect the reliability and generalizability of correlation results. Small or biased samples may not provide a representative picture of the population, leading to misleading interpretations.

Overall, it is important to use correlations as part of a broader analysis and consider additional evidence before drawing definitive conclusions about the relationship between variables.

Learn more about variables at: brainly.com/question/15078630

#SPJ11

The graph of the equation of function f (x) = 3 log₂ (x + 1) is shown in figure.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The equation of function is,

⇒ f (x) = 3 log₂ (x + 1)

Now, By using tool we can draw the graph of the equation of function

f (x) = 3 log₂ (x + 1) as shown in figure.

Thus, The graph of the equation of function f (x) = 3 log₂ (x + 1) is shown in figure.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ1

Answer:

  -2

Step-by-step explanation:

First evaluate inside parentheses

  (-1)^4 -9/3

Then do the exponentiation

  1 -9/3

Now the division

  1 -3

Finally, the sum

  -2

Answer:

the answer to this question is 1

Answer:

900

Step-by-step explanation:

since 258 is over half of 250, the number will end up 300. 631 falls behind on being half so it'll be only 600. 300+600=900

The number of different account numbers that can be allocated by the credit company is 43,046,721.

To determine the number of different account numbers that can be allocated, we need to consider the number of possibilities for each digit in the 8-digit account number. Since the digits 1 through 9 are used, there are 9 options for each digit.

For the first digit, any of the 9 digits can be chosen. Similarly, for the second digit, any of the 9 digits can be chosen. This pattern continues for each of the 8 digits.

To calculate the total number of different account numbers, we multiply the number of possibilities for each digit together: 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 = 43,046,721.

Therefore, the correct answer is option A: 43,046,721, representing the number of different account numbers that can be allocated.

Learn more about  Accounts here: brainly.com/question/5640110

#SPJ11