what is the perimeter for this?

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

Learn more about function on:

https://brainly.com/question/7693326

#SPJ4

Answer:

At 7 ft. 1 in., Shellac can expect to weigh approximately 165 lb

Step-by-step explanation:

The relationship between the heights and the weights of the freshman are presented as follows;

The weight of the freshman at 6 ft. = 140 lb

The height to which he plans to grow = 7 ft. 1 in.

Given that Shellac scales geometrically as he grows, then the height to weight ratio is constant

Let 'y' represent Shellac's weight when his height is 75 ft. 1 in., we have;

\(\dfrac{6 \, ft.}{140 \ lb} = \dfrac{7 \, ft. \ 1 \, in. }{y}\)

6 ft. = 72 in.

7 ft. 1 in. = 85 in.

Therefore, we get;

\(\dfrac{72 \ in.}{140 \ lb} = \dfrac{85 \ in. }{y}\)

\(y ={85 \ in. }\times \dfrac{140 \, lb}{72 \ in.} = 165.2 \overline 7 \, lbs\)

Shellac's expected weight given to the nearest whole number when his height is 7 ft. 1 in. ≈ 165 lb.

Answer:

(-2, -2)

Step-by-step explanation:

the solution of the system of equation put simply is the point of intersection between the 2 lines

hence, the answer is (-2,-2)

Answer:

weir

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Add 8 to both sides welcome :)

Answer:

The answer is D

.........

Step-by-step explanation:

5(3+6)2-62

(15+30)2-62

30+60-62

90-62=28

Answer:

(x + 4)

Step-by-step explanation:

x - 2 = 0, so x = 2

x - 4 = 0, so x = 4

x - 6 = 0, so x = 6

The option which is not a factor of the cubic equation is (x+4)

The algebraic equations having variables with power 3 are referred to as cubic equations. A generalized form of a cubic equation is ax³+ bx²+ cx + d = 0.

Given here: The cubic function f(x)=x³-12x²+44x-48

Clearly in the options the list of factors are -4,6,2,4

Checking for all 4 options we get

f(-4)=-4³-12×4²+44×(-4)-48

     =-64-192-176-48≠0

f(6)=6³-12×6²+44×(6)-48

    =216-12×36+264-48

    =0

f(2)=2³-12×4+44×2-48

    =8-48+88-48

    =0

Similarly we can find for x=4 that f(4)=0

Hence, The option which is not a factor of the cubic equation is (x+4)

Learn more about the cubic equation here:

https://brainly.com/question/13730904

#SPJ2

By applying the distributive property of multiplication, the students that are correct in their approach to solving the problem are: Nico, Raj and Sandra.

In order to open the bracket and isolate the variable x, we would first of all multiply both sides by 5/2 as follows:

2/5(5 + x) = 8

Multiplying both sides by 5/2, we have:

5/2 × 2/5(5 + x) = 8 × 5/2

5 + x = 40/2

5 + x = 20

Subtracting 5 from both sides, we have:

5 + x - 5 = 20 - 5

x = 15

In order to open the bracket and isolate the variable x, we would first of all multiply both sides by 1/2 and then 5 as follows:

2/5(5 + x) = 8

Multiplying both sides by 1/2, we have:

1/2 × 2/5(5 + x) = 8 × 1/2

1/5(5 + x) = 4

Multiplying both sides by 5, we have:

5 × 1/5(5 + x) = 4 × 5

5 + x = 20

Subtracting 5 from both sides, we have:

5 + x - 5 = 20 - 5

x = 15

In order to open the bracket and isolate the variable x, we would apply the distributive property of multiplication:

2/5(5 + x) = 8

2/5 × 5 + 2/5 × x = 8

2 + 2x/5 = 8

Subtracting 2 from both sides, we have:

2 - 2 + 2x/5 = 8 - 2

2x/5 = 6

Multiplying both sides by 5/2, we have:

5/2 × 2x/5 = 5/2 × 6

x = 30/2

x = 15.

Read more on distributive property here; https://brainly.com/question/14825602

#SPJ1

Answer:

No Solution

Step-by-step explanation:

I have tried it a few times and there seems to be no solution. x can't be solved for.

Answer:

no solution

Step-by-step explanation:

Given

3(2x - 1) + 5 = 6(x + 1) ← distribute parenthesis on both sides

6x - 3 + 5 = 6x + 6 , that is

6x + 2 = 6x + 6 ( subtract 2 from both sides )

6x = 6x + 4 ( subtract 6x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

Answer:

9 for each row

Step-by-step explanation:

Answer:

I think that :

A and B : 464

C and D : 132

Step-by-step explanation:

For A and B

Surface area = (2(5+4)*8) + ( 2( 5*4*8)) = 464

For C and D

Surface area = (2(3+2)*6) + ( 2( 3*2*6)) = 132

I hope that is useful for you

Answer:

\( \sqrt{53} \)

The equation in slope intercept form to model the relationship is:

y = 660,000x+2000

Given,

An Olympic sized swimming pool consists of 660,000 gallons of water.

It is currently be drained at a rate of 2,000 gallons a second.

we are asked to determine the equation in slope intercept form = ?

we know the slope intercept form is:

y = mx+c

based on the given conditions, we formulate:

y = 660,000x + 2000

Hence we get the required answer.

Learn more about Slope Intercept form here:

brainly.com/question/1884491

#SPJ1

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

Find more exercises on linear equation;

https://brainly.com/question/29739212

#SPJ1

Answer:

See Explanation

Step-by-step explanation:

\( \frac{mass \: of \: earth}{mass \: of \: human} = \frac{5.97 \times {10}^{24} }{6.35 \times {10}^{1} } \\ \\ = 0.94015748 \times {10}^{24 - 1} \\ \\ = 0.94015748 \times {10}^{23} \\ \\ = 9.4\times {10}^{22} \\ \\ \therefore \: mass \: of \: earth \\ =( 9.4\times {10}^{22} ) \times mass \: of \: human\)

In order to find the number of weeks w it will take Anita to reach her goal, we need to solve the following equation for w:

So, we can apply the same operations on both sides of the equation, until we isolate the variable w and find its value.

We obtain:

Therefore, Anita will have saved enough money for the snowboard in 5 weeks.

Answer:

x = 134

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 53 + 81 = 134

Step-by-step explanation:

(look at the picture..... )

so ..... x° = 53° + 81°

x° = 134° .......

Answer:

B, C and D

Step-by-step explanation:

Ema found the surface area of a cone as:

\(S.A = \pi(14^2) + \pi(14)(29)\)

Surface Area of a Cone \(S.A.=\pi r^2+\pi rl\)

Therefore:

Radius, r =14 units

Slant Height, l = 29 Units

(B)The diameter of the cone is 28 units.

SInce Diameter =Radius X 2

Diameter = 14 X 2= 28 Units

(C)The base area of the cone is \(196\pi$ units^2.\)

Base Area of a Cone \(=\pi r^2\)

Since r=14 Units

Base Area = \(=\pi 14^2=196\pi $ square units\)

(D)The lateral area is the product of pi, the radius(r), and the slant height(l).

\(L$ateral Area of a cone =\pi rl\)

Therefore, B, C andDapplies.

Answer:

A,B,D

Step-by-step explanation:

Answer:

Younger oiiiiiiiiiiii

Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

Learn more about Age here

https://brainly.com/question/26423521

#SPJ4

Answer:

The similarity postulate theorem is;

Similar - AA

Step-by-step explanation:

We are told that angle p is congruent to angle s, angle q is congruent to angle t.

Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.

For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.

Answer: similar AA is correct

Step-by-step explanation:

Just took the test:)

The population of ages at inauguration of all u. s. presidents is option B. With a data et that is loss​ small, the true nature of the distribution cannot be seen with a histogram.

The distribution is not always dramatically far from being a ordinary distribution with a bell form, so there is not robust proof towards a normal distribution. A histogram is a graph such as bars of equal width drawn adjoining to each different, until there aren't any gaps within the facts. The horizontal scale represents lessons of quantitative information values, and the vertical scale represents frequencies. the heights of the bars correspond to frequency values.

Histograms are not free of biases. clearly, they're arbitrary and may lead to wrong conclusions about data. if you need to visualize a variable, higher to select a distinct plot.

Disclaimer:- your question is incomplete,please see below for complete questuon.

A.This data set would yield a histogram that is not​ bell-shaped.

B.With a data et that is loss​ small, the true nature of the distribution cannot be seen with a histogram.

C.There must be an even number of data values in the data set to create a histogram.

D.Adequate class boundaries for a histogram cannot be found with this data set.

Learn more about population here:-https://brainly.com/question/25630111

#SPJ4

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

A.They may significantly affect the mean of the data.

Step-by-step explanation:

The outliers may significantly affect the mean of the data.

The extreme values in the data are called outliers.  

Example: For a data set containing  2, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 84.

In the above number line, we can observe the numbers 2 and 84 are at the extremes and are thus the outliers.

The outliers are a part of the group but are far away from the other members of the group.

For example:

Consider the data:  70, 73, 77, 71, 7, 73, 72, and 78

Let's calculate the mean to understand how the outlier affects the results.

Here, the datapoint 7, is an outlier.

Mean (with outlier)

=70+73+77+71+7+73+72+78/8

=521/8

=65.1

Mean (without an outlier)  = 70+73+77+71+73+72+78/7 = 514/ 7 =73.4.

the outlier creates a variation in the mean value of the data.

As, from the example discussed above we have seen that outliers depends on mean of the data.

Hence, outliers may significantly affect the mean of the data.

Learn more about outliers here:

https://brainly.com/question/26958242

#SPJ5

The sale price of the pens would be P^(150) x 1.08 .

We are given that Jane bought pens at $ 150 a dozen and sold them after a markup of 8%.

The markup price can be written as 0.08

To find the sale price of the pen, we need to multiply the sale price per by 12.

1 dozen  = 12 units.

Therefore, we have;

Sale prize per dozen = P^(150)/12 x 1.08 x 12

Sale prize per dozen = P^(150) x 1.08

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

Answers:

==========================================================

Explanation:

Question 1

27x^6 = (3x^2)^3 which is one cube and y^3 is another cube

Therefore 27x^6+y^3 is a sum of two cubes.

It might help to think of it like A^3+B^3 where in this case A = 3x^2 and B = y.

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

Question 2

81 isn't a perfect cube since 81^(1/3) = 4.3267 approximately, which isn't a whole number. We need 81^(1/3) to be a whole number if we wanted 81 to be a perfect cube.

We don't even need to check b^15 since 81 being a non-perfect cube means the entire expression cannot be a sum of two cubes, nor a difference of cubes.

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

Question 3

64x^3 = (4x)^3 is a perfect cube

but 9z^9 is not a perfect cube

We can see this if we computed 9^(1/3) and the result is a non-whole number.

The answer here is the same as the previous question.

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

Question 4

36^(1/3) is not a whole number, so 36 isn't a perfect cube. By extension  36m^12 isn't a perfect cube either. The answer is the same as questions 2 and 3.

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

Question 5

1 is a perfect cube since 1 = 1^3

d^12 is a perfect cube because d^12 = (d^4)^3

Therefore, we have a difference of two cubes.

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

Question 6

729^(1/3) = 9 which rearranges to 9^3 = 729, showing 729 is a perfect cube.

However y^29 is not a perfect cube since the exponent 29 is not a multiple of 3.

The overall expression is "neither".

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

Question 7

343^(1/3) = 7 rearranges to 7^3 = 343, showing 343 is a perfect cube

y^6 is a perfect cube since (y^2)^3, i.e. the exponent 6 is a multiple of 3.

We have a difference of cubes.

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

Question 8

4 isn't a perfect cube since 4^(1/3) results in some decimal value that isn't a whole number. The entire expression is neither a sum nor difference of cubes.

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

Question 9

144^(1/3) isn't a whole number, so we get a similar result to problem 8.

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

Question 10

64j^6 = (4j^3)^3 is one cube

k^9 = (k^3)^3 is another cube

We have a difference of cubes

Answer: A., D., and E.

Step-by-step explanation: On Edge!!

The given information none of the statements about triangle LMN confirmed as true.

Based on the given options, "Check all that apply," I'll evaluate each statement about triangle LMN:

The triangle is scalene: A scalene triangle is a triangle with three unequal side lengths. Since no information is provided about the side lengths of triangle LMN,  determine if it is scalene. Thus, it cannot be confirmed as true.

The triangle is equilateral: An equilateral triangle is a triangle with three equal side lengths. Without any information about the side lengths of triangle LMN, determine if it is equilateral. Thus, it cannot be confirmed as true.

The triangle is isosceles: An isosceles triangle is a triangle with at least two equal side lengths. Without any information about the side lengths of triangle LMN,  determine if it is isosceles. Thus, it cannot be confirmed as true.

The triangle is a right triangle: A right triangle is a triangle with one right angle (90 degrees). No information is given about the angles of triangle LMN, so determine if it has a right angle. Thus, it cannot be confirmed as true.

To know more about triangle here

https://brainly.com/question/2773823

#SPJ2

Answer:

\(5\sqrt{3}\)

Step-by-step explanation:

\(1/4+\sqrt{3} \\1/4+\sqrt{3} (Criss cross)\\1+4\sqrt{3} \\5\sqrt{3}\)

Hope I am correct

Answer:

\(y=-41,\:x=-211\)

Step-by-step explanation:

\(\begin{bmatrix}2y+77=-5\\ 5y-7x=1272\end{bmatrix}\)

Isolate y for 2y+77=-5:

\(y=-41\)

\(\mathrm{Substitute\:}y=-41\)

\(\begin{bmatrix}5\left(-41\right)-7x=1272\end{bmatrix}\)

\(Simplify\)

\(\begin{bmatrix}-205-7x=1272\end{bmatrix}\)

Isolate x for -205-7x=1272

\(x=-211\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(y=-41,\:x=-211\)

Answer:

The three gallon container is the better buy. See below.

Step-by-step explanation:

8 pints

2 pints = 1 quart.

8 pints = 4 quarts.

4 quarts = 22.64   Divide by 4

1 quart = 5.66

3 gallons.

1 gallon = 4 quarts

3 gallons = 12 quarts.

The cost of 1 quart = 54.48/12 = 4.54