given g(x)=0.5x^2-5x+3.5, find g (4a)

Answer:

110

Step-by-step explanation:

as 11 multiplied by 10 equals 110

The tangent to the graph f,  f(x) = \(5x^4\)/4 + 15/4.

When infinitesimal data are combined, notions such as displacement, area, and volume can be created. An integral assigns numbers to functions in a way that describes these concepts. Integration is the action of locating integrals.

Given:

f '(x) = 5x³

and, line: 5x + y= 0

We integrate to get f(x) = ∫5x³ dx = \(5x^4\)/4 + C.

As, tangent line is y = - 5x,

then f'(x) = 5x³ = - 5, x³ = -1 and x = -1 is x-coordinate of tangent point.

So, the y-coordinate of tangent point is

f(-1) = 5\((-1)^4\)/4  + C

      = 5/4 + C.

and, the equation of tangent line is

y - 5/4 - C = - 5(x + 1)

y = - 5x - 15/4 + C.

Thus,  -15/4 + C = 0,

C = 15/4 and f(x) = \(5x^4\)/4 + 15/4

Learn more about Integration here:

https://brainly.com/question/18125359

#SPJ1

Answer:

105.6 ft

Step-by-step explanation:

1 acre = 43,560 ft²

2/3(43,560) = 29,040

x = width of the lot

Area = (275 ft)(x) = 29,040 ft²

x = 29040/275 = 105.6 ft

Answer:

400

Step-by-step explanation:

403.1 rounded is 400

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

To know more about cell frequencies,

https://brainly.com/question/30482788

#SPJ11

Step-by-step explanation:

Slope (m) = 2/ 5

Y-intercept (c) = - 7

writing in slope intercept form

y = mx + c

y = 2/5 x - 7

Hope it will help :)

The requried equation in slope-intercept form of the line with a slope of 2/5 and a y-intercept of -7 is y = (2/5)x - 7.

The slope-intercept form of a linear equation is given by:

y = mx + b

where:

y represents the dependent variable (in this case, y is the y-coordinate)

x represents the independent variable (x is the x-coordinate)

m represents the slope of the line

b represents the y-intercept (the value of y when x is 0)

Given that the slope is 2/5 and the y-intercept is -7, we can substitute these values into the slope-intercept form to obtain the equation:

y = (2/5)x - 7

So, the equation in slope-intercept form of the line with a slope of 2/5 and a y-intercept of -7 is y = (2/5)x - 7.

Learn more about the line here:

https://brainly.com/question/29146348

#SPJ2

Answer:

x=7

Step-by-step explanation:

180-105= 75°

11x-2=75°

11x=77

x=7

The curve is given by \(x = y^2,\)so we can express the integral as:

\(∫c x^3 y^4 dx = ∫c (y^2)^3 y^4 dx = ∫c y^10 dx\)

To find the limits of integration, we need to determine the values of y for the endpoints of the curve. At the starting point (0, 0), we have y = 0, and at the endpoint (4, 2), we have y = 2^(1/2). Therefore, the integral becomes:

\(∫c x^3 y^4 dx = ∫0^(2^(1/2)) y^10 dx = [1/11 y^11]_0^(2^(1/2)) =\)\(2^(11/2) / 11\)

Therefore, the value of the integral is \(2^(11/2) / 11\)

To know more about limits of integration, refer here:

https://brainly.com/question/31956165

#SPJ11

Answer:

B,E,C

E,D, maybe G

Step-by-step explanation:

Colliers lie on a straight line

Answer:

I can help but I need better pic

Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

Answer: b

Step-by-step explanation:

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

To know more about vector equation, refer here:

https://brainly.com/question/30561769#

#SPJ11

Which types of triangles can always be used as a counterexample to the statement "all angles in a triangle are acute" they include

Acute angles are those that are smaller than 90 degrees. 90 degrees is the angle at a right angle.

Obtuse angles are those that are more than 90 degrees.

A right triangle can be isosceles or scalene, meaning that each of its three sides is of a different length (having exactly two sides of equal length).

Equilateral triangle always have angel 60 degrees which as an acute angel

Learn more about acute angles at:

https://brainly.com/question/6979153
#SPJ1

Answer:

Confidence interval of the population mean

Step-by-step explanation:

The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.

The statement above gives the confidence interval at α = 95%

As a subset of the mathematical sciences, statistical data deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied.

As a subset of the mathematical sciences, statistics deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics.

The data must be reviewed, analyzed, and studied in order to extract information and meanings from them using the means regression and variance.

To know more about statistical data visit:

https://brainly.com/question/14893265

#SPJ4

Answer:

Step-by-step explanation:

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

Learn more about partial fractions:

https://brainly.com/question/30404141

#SPJ4

Answer:

a = 11/14

Step-by-step explanation:

14a  / 14 == 11 / 14

a = 11 / 14

a = 11/14

Hope this Helped

Brainliest is appreciated.

Solving the provided question, we can say that The quadratic equation is \(y^{2}+3{\frac{\sqrt{5}}{2}y} - 5=0\), the value of \(y = -2\sqrt{5}\)

A quadratic polynomial in a single variable is represented by the equation \(ax^{2}+bx+c=0\). a 0.

Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution.

There are both simple and complex solutions. A quadratic equation is just that—quadratic.

It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "\(ax^{2}+bx+c=0\)." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

The quadratic equation is \(y^{2}+3{\frac{\sqrt{5}}{2}y} - 5=0\)

Taking 2 as LCM,

Let \(2y^{2} + 3\sqrt{5} y - 10 = 0\)

On factoring,

\(2y^{2} + 4\sqrt{5} y - \sqrt{5}y - 10 = 0\)

\(2y(y + 2\sqrt{5} ) - \sqrt{5} (y - 2\sqrt{5} ) = 0\)

\((y + 2\sqrt{5} )(2y - \sqrt{5} ) = 0\)

Now, \(y + 2\sqrt{5} = 0\)

\(y = -2\sqrt{5}\)

Also, \(2y - \sqrt{5} = 0\)

\(2y = \sqrt{5}\)

\(y = \sqrt{5} /2\)

To know more about quadratic equation visit:

brainly.com/question/30098550

#SPJ1

Answer: 25 books.

Step-by-step explanation:

Let as consider we need to find "how many books did Mr. Wharton buy in all?​"

Let total number of books bought by Mr. Wharton be x.

80% of all the books she bought were paperbacks.

\(Paperbacks=x\times \dfrac{80}{100}=0.8x\)

It is given that the number of paperbacks is 20.

\(0.8x=20\)

Divide both sides by 0.8.

\(x=\dfrac{20}{0.8}\)

\(x=25\)

Therefore, Ms Wharton bought 25 books in all.

Answer:

For Apex: C, 25

Step-by-step explanation:

Using the z-distribution, as we are working with a proportion, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

In null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.

In this problem, we consider that:

p₁ is the proportion in 2014.

p₂  is the proportion is 2017.

H₀=p₂-p₁

By alternative hypothesis,

H₁=p₂-p₁≠0,

we test if there has been an increase

The proportions and standard errors are given by:

p₁=0.97, s₁=√0.97(0.803)/61=0.0509

p₂=0.385, s₁=√0.385(0.615)/52=0.0675

Hence, the distribution has mean and standard error given by:

p=p₂-p₁=0.0675-0.0509

s=√s₁²+s₂²=0.0845

Test static z=p bar-p/s

at p = 0 is the value tested at the null hypothesis,

z=0.0166/0.0845

z=0.2

By a right-tailed test,  we are testing is  the proportion is greater than a value, with a significance level of 0.05, the critical value is of

z=1.645

0.2<1.645 there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

More can be learned about the z-distribution at brainly.com/question/26454209

#SPJ1

Answer:

-2.0659021

Step-by-step explanation:

If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've ... In this problem we divide 4.71 by 3.2 out to 3 decimal places in the quotient answer.

Hope this helps

Answer:

530.9

Step-by-step explanation:

Answer:

Yes It does

Step-by-step explanation:

-2.8(10)/0.2(10) =

-28/2 =

-14

Answer:

(6,-7)

Step-by-step explanation:

take b as x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

Answer:  B = (-6, 7)

Step-by-step explanation:

Given: M = (4, -1)    A = (2, 5)

\(M_x=\dfrac{A_x+B_x}{2}\qquad \qquad \qquad M_y=\dfrac{A_y+B_y}{2}\\\\\\4=\dfrac{2+B_x}{2}\qquad \qquad \qquad -1=\dfrac{5+B_y}{2}\\\\\\8 = 2+B_x\qquad \qquad \qquad\quad -2=5+B_y\\\\\\6=B_x\qquad \qquad \qquad\qquad \quad -7=B_y\)

Answer:

4

Step-by-step explanation:

Shown using number line and simple math

The value of b is 1,500, which means that the author had already written 1,500 words before starting the new plan.

In the equation y = 600x + b, x represents the number of days since the author started the new plan to write 600 words per day, and y represents the total number of words written.

After the fifth day, the author has written 4,500 words. Thus, we can substitute x = 5 and y = 4,500 into the equation and solve for b:

4,500 = 600(5) + b

4,500 = 3,000 + b

b = 4,500 - 3,000

b = 1,500

Therefore, the value of b is 1,500, which means that the author had already written 1,500 words before starting the new plan.

To know more about equation, refer here:

https://brainly.com/question/30183312#

#SPJ11

Answer:

a= -2

Step-by-step explanation:

Answer: a = -2

Step-by-step explanation: Provided in the attachment.