A sphere has a volume of 90m3 at room temperature. When heated to a certain temperature
its volume increases to 93m3, what is the percent of increase in volume?

Answer: The answer is A

Step-by-step explanation: Looking at the graph we can see that if we add up row 1, we get 0.75 of his friends go to the movies, while 0.69 go to soccer games.

For part (a), we can use Cauchy's Integral Formula which states that for a function f(z) that is analytic inside and on a simple closed contour C, and a point a inside C, we have:   The value of the integral is 2πi i0^(m+1).


f^(m)(a) = (1/2πi) ∮ C f(z)/(z-a)^(m+1) dz

where f^(m)(a) denotes the m-th derivative of f evaluated at a, and the integral is taken counterclockwise around C.

In our case, we have f(z) = 1, which is analytic everywhere, and C is the circle {izl = r} with counterclockwise orientation. So we can write:

iizml dz = i(1/2πi) ∮ {izl = r} 1/(z-i0) dz

where i0 is any point inside the circle, and the integral is taken counterclockwise around the circle.

Using Cauchy's Integral Formula with a = i0 and m = 0, we get:

iizml dz = i

So the value of the integral is just i.

For part (b), we need to evaluate the derivative of the integral, which is:

d/dz (iizml) = -m iizm-1

Using Cauchy's Integral Formula with a = i0 and m = 1, we get:

iizmlldzl = i(-m) (1/2πi) ∮ {izl = r} z^(m-1)/(z-i0)^2 dz

Note that the only difference from part (a) is the z^(m-1) term in the integral. We can simplify this using the Residue Theorem, which states that for a function f(z) that has a pole of order k at z = a, we have:

Res[f(z), a] = (1/(k-1)!) lim[z->a] d^(k-1)/dz^(k-1) [(z-a)^k f(z)]

In our case, the integral has a simple pole at z = i0, so we have:

Res[z^(m-1)/(z-i0)^2, i0] = lim[z->i0] d/dz [(z-i0)^2 z^(m-1)] = i0^m

Therefore, we can write:

iizmlldzl = -2πi Res[z^(m-1)/(z-i0)^2, i0] = -2πi i0^m

Note that the minus sign comes from the fact that the residue is negative. So the value of the integral is -2πi i0^m.

For part (c), we need to evaluate the integral of z^m around the same circle. Again, we can use Cauchy's Integral Formula with a = i0 and m = -1, which gives:

izm dz = (1/2πi) ∮ {izl = r} z^(m+1)/(z-i0) dz

Using the Residue Theorem, we can find the residue at z = i0, which is:

Res[z^(m+1)/(z-i0), i0] = lim[z->i0] z^(m+1) = i0^(m+1)

Therefore, we can write:

izm dz = 2πi Res[z^(m+1)/(z-i0), i0] = 2πi i0^(m+1).

https://brainly.com/question/31959351
#SPJ11

Answer:

727

Step-by-step explanation:

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

35% of 300 is 105

Adults=105 , children=195

195 children were present.

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

to learn more about probability click on the link below.

https://brainly.com/question/24756209

#SPJ4

Answer:

cos57° = x/51

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to solve for the missing side length.

Step 2: Set up ratios

We can choose between the 2 angles and have multiple ratios to solve for x.

sin33° = x/51

cos57° = x/51

Hence, we see that the 1st option would be the correct answer.

Answer:

1000

Step-by-step explanation:

10 x 10 x 10 = 1000

Answer:

1000 cm³

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the edge length ) , then

V = 10³ = 1000 cm³

Answer:

Sin(A) = 42/47

Cos(A)=21/47

Tan(A)=42/21=2

Answer:

calculadora es muy bonita hoy

Step-by-step explanation:

Answer:

440000079

Step-by-step explanation:

Answer: Y= -5x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(z)=3(-9)^2+10(-9)-6

f(z)=3(81)-90-6=243-96=147

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, \(2(2x+3)\) is equal to \(4x+6\). However, \(2(2x+3)\) is not equal to \(4x+6\) according to Mr. Burrows.

Put \(x=5\) in \(2(2x+3)\)

\(2[2(5)+3]=2(10+3)=2(13)=26\)

Put \(x=5\) in \(4x+6\)

\(4x+6=4(5)+6=20+6=26\)

Therefore,

\(2(2x+3)=4x+6\)

Yes, the same answer is obtained.

Step-by-step explanation:

Inscribed angle BCD intercepts twice as many degrees of arc as its actual measure....

2 * ( 5x+11)   = 16x - 26

48 = 6x

x = 8

then arc BAD = 16x -26 = 102°   (apparently the drawing is not to scale)

Answer:

To graph y=5, you have to keep in mind that this means accross your line, y always equals 5. So it would look like the line you have in your picture except the line would move one space up; it would be on number five on the y-axis.

Step-by-step explanation:

Make sense? If you have a question feel free to comment (^-^)

Answer: 20 over 4     or      4/20

Step-by-step explanation:             I belive this is you answer for number 2.

Answer:

b

Step-by-step explanation:

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

Answer:

• First pic

\({ \tt{4x + 65 \degree + x = 180 \degree}} \\ \dashrightarrow \: { \sf{ \{angles \: on \: straight \: line \}}} \\ \\ { \tt{5x + 65 \degree = 180 \degree}} \\ \\ { \tt{5x = 180 \degree - 65 \degree}} \\ \\ { \tt{x = (\frac{115}{5} ) \degree}} \\ \\ \dashrightarrow \: { \boxed{ \tt{ \: \: x = 23 \degree \: \: }}}\)

• Second pic:

\({ \tt{(180 \degree - 124 \degree) + 2x = 6x}} \\ \dashrightarrow \: { \sf{ \{interior \: angle \: sum equivexterior \: angle \} }} \\ \\ { \tt{56 \degree = 6x - 2x}} \\ \\ { \tt{4x = 56 \degree}} \\ \\ { \tt{x = ( \frac{56}{4} ) \degree}} \\ \\ \dashrightarrow \: { \boxed{ \tt{x = 14 \degree}}}\)

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

To learn more about the system of equations from the given link

https://brainly.com/question/25976025

#SPJ1

Answer:

The answer is C.

Step-by-step explanation:

Mark me brainiiest.✌✌

Answer: $0.15/Yr

Step-by-step explanation:

Difference in year 2010- 1975= 35

Range = 7.25 - 2 = 5.25

Per year = 5.25/ 35

The range of values for the correlation coefficient is - 1 to 1, inclusive is the correct answer.

Value is an important concept in economics, philosophy, and psychology. In economics, value is the amount of utility or satisfaction that an individual derives from a good or service. In philosophy, value is the worth or usefulness of something, based on its purpose. In psychology, value is the perceived importance of something that influences an individual's behavior. Value can also be seen as a measure of the worth of an object or action. Value is subjective and can differ from one person to another, depending on their beliefs and experiences. Value is also a key factor in decision-making and can help individuals make informed choices.

The range of values for the correlation coefficient is -1 to 1, inclusive. This means that the correlation coefficient can range from a perfect negative correlation (-1) to a perfect positive correlation (1).

Values in between those two extremes indicate a weaker correlation.

To know more about value click-
https://brainly.com/question/29711276
#SPJ1

Answer:

%0.13

Step-by-step explanation:

10 quarters= $2.5 which is 25 dimes

10 nickels= $0.5 which is 5 dimes

10 dimes= $100

100+25+5= 130 dimes = $13

13/100 = %0.13  

600 cubic decimeters of water is needed to be able to fill the aquarium.

To calculate the volume of water needed to fill the aquarium, we need to first calculate the total volume of the aquarium. We can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

In this case, the length of the aquarium is 12 decimeters, the width is 7.5 decimeters, and the height is 10 decimeters. Therefore, the volume of the aquarium is:

Volume = 12 x 7.5 x 10

Volume = 900 cubic decimeters

Now, we need to find 2/3 of the total volume to determine the amount of water needed to fill the aquarium. We can do this by multiplying the total volume by 2/3:

Water volume = 900 x 2/3

Water volume = 600 cubic decimeters

Therefore, 600 cubic decimeters of water are needed to fill the aquarium with 2/3 water.

In summary, to calculate the amount of water needed to fill the aquarium, we first calculated the total volume of the aquarium using the formula for the volume of a rectangular prism. Then, we multiplied the total volume by 2/3 to find the amount of water needed to fill the aquarium with 2/3 water. The answer is 600 cubic decimeters of water.

Know more about volume of a rectangular prism here:

https://brainly.com/question/30459569

#SPJ11

Answer:

d) isosceles right

Step-by-step explanation:

2 sides of the triangle are equal and one side isn’t and thats an isosceles triangle And one angle is equal to 90 degrees.

The formula for number of buses per person is b = p/50

This is a way of using a variable to represent other variables in a function.

Given the expression

p = kb

If k = 50, then;

p = 50b

Make b the subject of the formula

p/50 = 50b/50
b = p/50

Hence the formula for number of buses per person is b = p/50
Learn more on subject of formula here: https://brainly.com/question/21140562

#SPJ1

Answer: 45.65 is incorrect.

Step-by-step explanation: it’s a place value problem; right of the decimal is ones, tens, hundredths, thousandths which is 4 place values so 45.065 shows the correct placement

In the video about the construction of the insect phylogeny, the researchers faced the problem that there was not enough computational power in all of the world to construct every possible tree.

The use of computing algorithms, tools, and programmes to phylogenetic analysis is known as computational phylogenetics. The purpose is to create a phylogenetic tree that represents a hypothesis about a set of genes, species, or other taxa's evolutionary ancestry.

There was not enough computational power to construct every possible tree in all of the world. So the probable solution for this problem will be:

Use math to avoid constructing improbable trees

To learn more about Phylogenetic, click here https://brainly.com/question/2189834

#SPJ4