How many centimeters are equal to 0.4 inches?

The dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

In the question,

The function is \(B(x) = 0. 06x^2 - 0. 2x^3\)

To find the maximum or minimum, take the derivative and set it equal to zero.

⇒ \(B'(x) = 2(0. 06)x - 3(0. 2)x^{2}\)

Setting it equal to zero, we get

⇒ \(0.12x - 0.6x^{2}=0\)

⇒ 0.6x (0.2-x) = 0

⇒ x = 0 or x = 0.2

Now substitute x = 0.2 in B(x), we get

⇒ \(B(0.2) = 0. 06(0.2)^{2} - 0. 2(0.2)^{3}\)

⇒ B(0.2) = 0.0024 - 0.0016

⇒ B(0.2) = 0.0008

To know B(0.2) is maximum, let us find the values for x = 1 and x = 0.01.

For x = 1,

⇒ \(B(1) = 0. 06(1)^{2} - 0. 2(1)^{3}\)

⇒ B(1) = 0.06-0.2

⇒ B(1) = -1.04

For x = 0.01,

⇒ \(B(0.01) = 0. 06(0.01)^{2} - 0. 2(0.01)^{3}\)

⇒ B(0.01) = 0.000006 - 0.0000002

⇒ B(0.01) = 0.0000058

Thus, x = 0.2 is the maximum.

Hence we can conclude that the dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

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Answer:40

Step-by-step explanation:

9514 1404 393

Answer:

  £37.50

Step-by-step explanation:

See https://brainly.com/question/23501345 for a detailed explanation of the working. Using the numbers here, we have ...

  tins = (((4)(2.8)(4.5) -(2)(0.7))/12)/2 ≈ 2.042 . . . . more than 2 tins

For the 3 tins Aisha needs, she will pay (2.5)(£15) = £37.50.

Step-by-step explanation:

have sad me the answer the you yong answer mo mali kaya mali din ang ipapalit sayo

The value of function of function by using given operation are h(f(g(x))) is (√x)³/3 , g(h(f(9))) is 9√3 and g(h(f(x))) is x√(x/3).

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

Given the functions,

f(x) = x³,g(x) = √x and h(x) = x/3

f) ⇒

f(g(x)) = f(√x ) = (√x)³

h(f(g(x))) = h(√x)³ =  (√x)³/3

g) ⇒

h(f(9)) = 9³/3

g(h(f(9))) = \(\sqrt{9^3/3}\) = 9√3

h) ⇒

h(f(x)) = x³/3

g(h(f(x))) = \(\sqrt{x^3/3}\) = x√(x/3).

Hence "h(f(g(x))) is (√x)³/3 , g(h(f(9))) is 9√3 and g(h(f(x))) is x√(x/3)".

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The following functions are analytic:

1. f(z) = iz

2. f(z) = \(e^(^-^2^x^)(cos^2^y - isin^2^y^)\)

4. f(z) = \(e^x(cosy - isiny)\)

5. f(z) = \(Re(z^2) - iIm(z^2)\)

8. f(z) = \(i/z^8\)

11. f(z) = cos(x)cos(hy) - isin(x)sin(hy)

Analytic functions are those that can be expressed as power series expansions, meaning they have derivatives of all orders in their domain. In the given list of functions, we need to determine if each function satisfies this criterion.

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Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

where I need pic or questions

Answer:

a

Step-by-step explanation:

a

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

Mixed fraction \(\boldsymbol{2\frac{4}{9}}\) can be written as improper fraction as \(\boldsymbol{\frac{22}{9}}\)

A fraction in which value of numerator is greater or equal to the value of the denominator is known as an improper fraction.

Given mixed fraction is \(\boldsymbol{2\frac{4}{9}}\)

\(2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}\)

     \(=\frac{22}{9}\)

So, mixed fraction \(\boldsymbol{2\frac{4}{9}}\) can be written as improper fraction as \(\boldsymbol{\frac{22}{9}}\)

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The required improper fraction is x = 22/9

Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = numerator / denominator,
example = 8 / 9`
Types of function,
1 .  Proper Fractions = numerator < denominator

2 . Improper Fractions = numerator > denominator

3 . Mixed Fractions: fraction in the form x+ a/b

An improper fraction is defined as when the numerator is equal to or larger than the denominator. example = a / b where a  > b or 5/2 where 5 > 2.

Let the fraction be x,
x = 2 4/9
x = 2 + 4/9
x = (18 + 4 ) / 9
x = 22/9

Thus, the required improper fraction is x = 22/9

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Answer:

\(v=4468.8m^{3}\)

\(h=17.1\)

Step-by-step explanation:

\(B=28^{2}\)

\(B=784\)

\(h=\sqrt{(22.1)^{2} -(14)^{2} } \\\)

\(h=17.1\)

\(v=1/3Bh\)

\(1/3(784)(17.1)\)

\(v=4468.8m^{3}\)

\(-----------\)

hope it helps..

have a great day!!

Answer:

c=80

Step-by-step explanation:

multipy both sides by -10

-8*-10=80

Answer:

80=c

Step-by-step explanation:

-8=c/-10 set up equation

-8(-10)=c multiple both sides by -10

80=c multiple -8*-10, two negative equal a postive

Answer:

C and D

Step-by-step explanation:

cosA = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{4}{5}\) ⇒ C

sinA = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{3}{5}\) ⇒ D

Answer:

The final number is 26.25.

Step-by-step explanation:

First, solve the beginning sentence.

"Some number" can be represented by x

x - (-6) = 41    

x + 6 = 41

x = 35

Next, solve the second sentence

35*(-3) = -105

Finally, the last sentence

(-105)/(-4) = 26.25

1. Valid 2. Invalid 3. Valid 4. Valid, The alternative hypothesis is evaluated by assuming it is true and testing the probability of getting the observed results if chance alone is operating.

This probability is known as the p-value, and it represents the probability of observing a sample mean as extreme or more extreme than the one observed, given that the null hypothesis is true. A small p-value (typically less than 0.05) indicates that the observed results are unlikely to be due to chance alone and provides evidence against the null hypothesis. Conversely, a large p-value indicates that the observed results are likely to be due to chance alone and fails to provide evidence against the null hypothesis. The level of significance (α) is chosen prior to conducting the hypothesis test and represents the probability of rejecting the null hypothesis when it is actually true.

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Answer:

It represents the price that ray is actually paying. Instead of paying for 100% of the price, he is now only paying for 90%

Step-by-step explanation:

Answer:

You can substitute

4

as

x

in the first equation because

x

and

4

are equal.

2

(

4

)

+

y

=

29

8

+

y

=

29

y

=

21

Step-by-step explanation:

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Given:

Equation of line is

\(y=1.2x+3.8\)

To find:

The equation of line that passes through the point (5, 0) and parallel to the given line.

Solution:

Slope intercept form of a line is

\(y=mx+b\)

where, m is slope and b is y-intercept.

On comparing the given equation \(y=1.2x+3.8\) with the slope intercept form, we get

\(m=1.2\)

So, slope of given line is 1.2.

Slope of parallel lines are same. So, slope of required line is 1.2.

The required line passes through (5,0) having slope 1.2. So, the equation of line is

\(y-y_1=m(x-x_1)\)

where, m is slope of the line.

\(y-0=1.2(x-5)\)

\(y=1.2x-1.2(5)\)

\(y=1.2x-6\)

Therefore, the correct option is A.

There appears to be a positive correlation between shoe size and grade point average in Professor Walker's class, suggesting that students with larger shoe sizes tend to have higher GPAs.

The observation made by Professor Walker suggests a relationship between shoe size and grade point average. A positive correlation means that as one variable (shoe size) increases, the other variable (GPA) also tends to increase. In this case, the observation indicates that students with larger shoe sizes tend to have higher GPAs. However, it is important to note that correlation does not imply causation.

It is possible that the observed relationship is coincidental or influenced by other factors. Factors such as age, gender, or socioeconomic status could be associated with both shoe size and academic performance, leading to a spurious correlation. To establish a definitive causal relationship, further research and analysis would be required to account for confounding variables and determine the underlying mechanisms, if any, between shoe size and GPA.

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Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 2x - 8

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² - 2x

f(x) = x² + 2(- 1)x + 1 - 1 - 8

     = (x - 1)² - 9 ← in vertex form

with vertex = (1, - 9 )

Answer: 4 10/11

Step-by-step explanation:

Answer:

m=7

Step-by-step explanation:

subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.

Answer: m=7

Step-by-step explanation:

\(5m+35=70\)

subtract 35 on both sides

\(5m+35-35=70-35\)

\(5m=35\)

divide 5 on both sides

\(35/5=7\)

\(m=7\)

There are 6,720 possible ways to arrange the committee in a row, with students grouped by grade.

2 seniors * 5 sophomores * 3 freshman * 2 juniors = 60

60 possible arrangements for the 4 grade levels

60 * 6 (the number of ways to arrange 6 people) = 360

360 * 6 (the number of ways to arrange 6 people) = 2160

2160 * 6 (the number of ways to arrange 6 people) = 12,960

12,960 / 2 (because the order of the two grade levels can be reversed) = 6,720

6,720 possible arrangements for the school dance committee.

The school dance committee is made up of 3 freshman, 5 sophomores, 2 juniors, and 2 seniors. To find out how many ways there are to sit the committee in a row at a meeting if the students must sit together by grade, we first need to calculate the number of possible arrangements for each grade level. Since there are 2 seniors, 5 sophomores, 3 freshman, and 2 juniors, there are 60 possible arrangements for the 4 grade levels. We then multiply this by 6, since there are 6 ways to arrange 6 people. This gives us 360 possible arrangements for the first two grade levels. We then multiply this number by 6 again, since there are 6 ways to arrange 6 people. This gives us 2160 possible arrangements for the first three grade levels. We multiply this number by 6 one more time, since there are 6 ways to arrange 6 people. This gives us 12,960 possible arrangements for all four grade levels. However, since the order of the two grade levels can be reversed, we must divide this number by 2. This gives us a total of 6,720 possible arrangements for the school dance committee.

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The exact area of the region bounded by the curve is 0 for the t element of [0,2] by using the corollary to Green's theorem.

To find the exact area of the region bounded by the curve defined by the parametric equations:

x = 4t - t^3

y = 2sin(π/2 t)

for t ∈ [0, 2], we can use the corollary to Green's theorem, which relates the area of a planar region to a line integral.

The corollary states that if we have a vector field F = (M, N) and its partial derivatives Mx and Ny are continuous on a simply connected region R, then the area A of R is given by:

A = ∬<R> (Ny - Mx) dA

In this case, we can treat the curve defined by the parametric equations as a closed curve C. We can express the curve C as a vector function r(t) = (x(t), y(t)), where r'(t) = (x'(t), y'(t)) represents the derivative of r(t) with respect to t.

Let's calculate the partial derivatives of M = y and N = -x:

My = 0

Nx = 0

Since My and Nx are both zero, we can apply the corollary of Green's theorem and simplify the equation for the area:

A = ∬<R> (Ny - Mx) dA

= ∬<R> (0 - 0) dA

= 0

Therefore, the area of the region bounded by the curve is 0.

The complete question must be:

Find the exact area of the region bounded by the curve ~r = d 4t − t 3, 2 sin π 2 t, for the t element of [0,2] by using the corollary to Green's theorem.

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Answer:

$2.90 %Step-by-step explanation:

because if you round it it would be close to 90 and if you mutiply 2 x 2 =4 x 89

Answer: ITs B

Step-by-step explanation: because the Ir which mean of real numbers the range is the higher number

Answer:

-7 , 9

1, -3

5, -9

Step-by-step explanation:

Answer:

The answer is

-7 , 9, 1, -3, 5, -9

Hope this helps;)