help please. will give Brainly.​

First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.

Check the value of f(x) at these endpoints:

f (0) = 0

f (1) = 0

Take the derivative of f(x) :

[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]

[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]

For x ≠ 0, we can eliminate the √x term in the denominator:

[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]

f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :

√x (3 - 4x) = 0

√x = 0   or   3 - 4x = 0

The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.

Answer: I think it is 4+$p

Step-by-step explanation:

Answer:

3. 224 cm3

4. 35 cm3

5. 60 cm3

Step-by-step explanation:

To find the volume you need to multiple the base times the height times the length.

Answer:

answer is 5.50

Step-by-step explanation:

multiply 2.75 times two because 3 by 5 is half of 9 by 15

Answer:

81.20

Step-by-step explanation:

I took the test and got it right

Answer:

x+7x2+3x+2=6x+1+−5x+2

Step-by-step explanation:

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x+7x2+3x+2=6x+1+−5x+2

Answer:

Interest in one month= 556.88

Her balance is reduced by= 381.6

Step-by-step explanation:

9514 1404 393

Answer:

  5/2 = 2.5

Step-by-step explanation:

The slope is given by ...

  m = (y2 -y1)/(x2 -x1)

Using the first two lines in the table, this is ...

  m = (10 -5)/(2 -0) = 5/2

The slope of the line is 5/2.

__

As a decimal, that is 2.5.

Answer:

45 minutes

Step-by-step explanation:

97-52 = 45

Answer:

B 87

Step-by-step explanation:

Answer: 58

explanation: Acellus

Answer:

c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.

Step-by-step explanation:

According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)

So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12

So, the option C is correct

The rest of the options are wrong

Answer:

sorry id.k this im so sorry

Step-by-step explanation:

Answer:

10/91

Step-by-step explanation:

Answer:

9 and 3 GCF is 3

8 and 4 GCF is 4

the GCF of 8,3,4,9 = 1

Step-by-step explanation:

Answer:

2000 ft

x= 175/ tan5 which is approximately 2000.

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1[/tex]

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

[tex]\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1[/tex]

which reduces to

c / 2 (0 + 1) = 1   →   c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

[tex]\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678[/tex]

Answer:

150

Step-by-step explanation:

2(2^2)+7+5(3^3)

2(4)+7+5(27)

8 + 7 + 135= 150

Answer:

d

Step-by-step explanation:

edge 2021

The ratio of the wavelength of the red note and blue note is 2 : 1.

Wavelength is the distance between two consecutive crest and troughs.

Mathematically, we can write wavelength as -

λ = c/ν

where -

λ : wavelength

ν : frequency

Given are the two notes as shown in the image.

For the red note, the distance between the consecutive crests is twice to that of the distance between the consecutive crests in case of blue note. We can write the ratio of the wavelengths as -

λ(R)/λ(B) = 2/1

Therefore, the ratio of the wavelength of the red note and blue note is 2 : 1.

To solve more questions on wavelengths, visit the link-

https://brainly.com/question/29213222

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Answer:

20 is the longer piece, and 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9

Answer:

The Answer in Exact Form:

-3/22

In Decimal Form:

-0.136

Step-by-step explanation:

-[tex]\frac{3}{2}[/tex]÷5[tex]\frac{1}{2}[/tex]=-3/22

Answer:

Step-by-step explanation:

C

Answer:

its dddddddddddddddddddddddd

Step-by-step explanation:

The method that can be used to determine the dimensions of the orginal rectangle is multiply the length and the width of the  scale drawing of rectangle by 8/5.

A scale drawing is smalleer image of a bigger diagram.The scale drawing is usually reduced at a constant dimension

The orginal dimensions can be determined by multiplyinf the dimensions of the scale drawing by 8/5

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Answer:

Step-by-step explanation:

Apply the quadratic formula.  The coefficients are {5, -5, 1}.  The discriminant is b^2 - 4ac, which here works out to 25 - 4(5)(1), or 5.  This positive result tells us that this quadratic has two unequal, real roots.  These roots are:

     -(-5) ± √5       5 ± √5

x = --------------- = -------------

           10                  10

Step-by-step explanation:

can't factor so can use quadratic

5 +/- √(25-20)/10

(5+√5)/10

(5-√5)/10

Answer:

the answer to the problem is 4,15,8,3

9514 1404 393

Answer:

  3 -2√2

Step-by-step explanation:

For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...

  small area / large area = (1/(1+√2))^2 = 1/(3+2√2)

  small area/large area = 3 -2√2

_____

The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.

Answer:

go to omnicalculator.com they have all sorts of calculators including one called a percent changer calculator

Step-by-step explanation:

The basically it tells us the chances of the claim being true

If we assume the null hypothesis is correct.

The Chi-Square Test of Independence determines whether there is an association between categorical variables.

We have given that,

The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively.

If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct.

The p-value tells us the likeliness of our data occurring under the null hypothesis.

Therefore ,basically it tells us the chances of the claim being true

If we assume the null hypothesis is correct.

To learn more about the chi-square method visit:

https://brainly.com/question/4543358