Translate this sentence into an equation.
Chau's savings increased by 17 is 54.

Answers

Answer 1

Answer: 17x = 54

x represents chau's savings before it increased


Related Questions

Here is a graph of F and G.

Answers

Answer: please look at the image for the answer

Step-by-step explanation:

determine which side would be greater given 2 triangles with 2 congruent lengths and the measure of the angle inbetween

Answers

The SAS congruence criteria, option (c), is the appropriate response. The acronym SAS stands for "side-angle-side," and it denotes that two sides and the included angle of one triangle must be congruent to two sides and the incorporated angle of another triangle for the triangles to be considered congruent.

"Right-angle-hypotenuse-side" (or option a) refers to a particular instance of the SAS criteria that only applies to right triangles.

The acronym ASA (option b) stands for "angle-side-angle," and it denotes that two angles and the included side of one triangle must be congruent with two angles and the included side of some other triangle for the triangles to be considered congruent.

Side-side-side, or SSS (option d), refers to the situation in which all three sides of one triangle are congruent with all three sides of another triangle.

Learn more about congruency at

https://brainly.com/question/10677854

#SPJ4

The question is -

Two triangles are congruent if two angles and the side included between them in one triangle are equal to the two angles and the side included between them in the other triangle. This is known as:

a. RHS congruence criterion

b. ASA congruence criterion

c. SAS congruence criterion

d. SSS congruence criterion

i have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). find the number of ways i can distribute this candy to $5$ children, if it's ok to not give a child any candy.

Answers

Answer:

2 pieces of sc and 1 piece of rc

Step-by-step explanation:

Suppose a fair die is tossed three times. Let X be the number of different faces that appear (so X = 1, 2, or 3). Find px(k) and show all work

Answers

Let X be the number of different faces that appear (so X = 1, 2, or 3). The probability mass function of X is px(1) = 1/36, px(2) = 15/36, px(3) = 60/216 = 5/18.

To find the probability mass function px(k), where k is the number of different faces that appear, we can use the combinatorial approach:

When k = 1, there is only one possible combination of outcomes: all three tosses must have the same face, and there are 6 ways to choose which face it is. Therefore, the probability of k = 1 is:

px(1) = (6/6) * (1/6) * (1/6) = 1/36

When k = 2, there are three possible combinations of outcomes: the first two tosses can have the same face and the third a different face, the first and third tosses can have the same face and the second a different face, or the second and third tosses can have the same face and the first a different face.

There are 6 ways to choose which face appears twice and 5 ways to choose which face appears once. Therefore, the probability of k = 2 is:

px(2) = 3 * [(6/6) * (1/6) * (5/6)] = 15/36

When k = 3, there are 3! = 6 possible combinations of outcomes: each of the three tosses can have a different face. There are 6 ways to choose the face for the first toss, 5 ways to choose the face for the second toss, and 4 ways to choose the face for the third toss.

Therefore, the probability of k = 3 is:

px(3) = 6 * (6/6) * (5/6) * (4/6) = 60/216

Note that the probabilities add up to 1:

px(1) + px(2) + px(3) = 1/36 + 15/36 + 60/216 = 1

Therefore, the probability mass function of X is:

px(1) = 1/36

px(2) = 15/36

px(3) = 60/216 = 5/18

To learn more about probability mass function click on,

https://brainly.com/question/23631346

#SPJ4

Consider the following two statements: 1. p: It is Friday 2. q: I don't go to class Express the following in words: a). p → q
b). -q → -p c). p A q
d) p V -q

Answers

Referring to the given statements,

a) p → q: "If it is Friday, then I don't go to class."

b)  -q → -p:  "If I don't go to class, then it is not Friday."

c)  p ∧ q :  "It is both Friday and I don't go to class."

d)  p V -q: "Either it is Friday, or I don't go to class (or both)."

Some main logical operatorsConjunction (∧): The conjunction operator is used to connect two propositions and create a compound statement that is true only if both the propositions are true. Disjunction (V): The disjunction operator is used to connect two propositions and create a compound statement that is true if at least one of the propositions is true. Negation (-): The negation operator is used to negate a proposition and create a new proposition that is the opposite of the original one.Implication ( → ):  is used to connect two propositions and create a compound statement that is true unless the first proposition is true and the second proposition is false. The implication "p → q" can be read as "if p, then q" or "p implies q."

In this problem, the propositions are:

p : It is Friday

q :  I don't go to class

Hence,

a)  p → q is an implication and read as: "If it is Friday, then I don't go to class."

b). -q → -p

-q is negation of q and read as: I go to class

-p is negation of p and read as: It is not Friday

Therefore, -q → -p means "If I don't go to class, then it is not Friday."

c)  p ∧ q is a conjunction. p ∧ q can be read as: "It is both Friday and I don't go to class."

d)  p V -q  is a disjunction. p V -q can be read as: "Either it is Friday, or I don't go to class (or both)."

Learn more about logical operators here:

https://brainly.com/question/29355827

#SPJ4

I will give brainliest and ratings if you get this correct

determine whether the following function have limit or not? ​

Answers

The function does not have a limit. If you graph the function on Desmos it’s also clear the there is a jump discontinuity. Refer to image for more mathematical reasoning.

3x^2-18x=-15 by complete the square

Answers

The solutions to the equation 3x²-18x=-15 by completing the square are x = 1 and x = 5.

How to solve quadratic equation by completing the square?

In order to make an equation a perfect square, something must be added. This is known as "completing the square." This makes a number of equations simple to solve. In fact, by solving the square, all quadratic problems can be resolved.

According to question:

To complete the square for the equation 3x²-18x=-15, we can follow these steps:

Move the constant term to the right side of the equation:

3x² - 18x + 15 = 0

Divide both sides by the coefficient of x^2 to make the coefficient 1:

x² - 6x + 5 = 0

To complete the square, we need to add and subtract the square of half of the coefficient of x:

x² - 6x + 9 - 4 = 0

(x - 3)² = 4

Take the square root of both sides to solve for x:

x - 3 = ±2

x = 3 ± 2

x = 1 or x = 5

Therefore, the solutions to the equation 3x²-18x=-15 by completing the square are x = 1 and x = 5.

To know more about Quadratic equation visit:

brainly.com/question/30098550

#SPJ1

Mrs.Nunes has 7 yards of string and needs to split it into 4 equal sections to make bows. How long will each section of string be?

Answers

Answer: 1.75 yards

Step-by-step explanation:

You need to divide 7 by 4 to get 4 equal sections.

7/4 = 1.75

Therefore, 1.75 is your answer

abcdefgh is a regular octagon of side 12cm. find the area in square centimeters of trapezoid bcde. express your answer in simplest radical form.

Answers

i just know its 9 trust me

Determine whether the functions are inverses.

f(x)=3+6
g(x)x+5/3

Answers

No, the function aren't inverse of each other.

What's Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it's defined is known as the sphere. The entire set of values that the function's affair can produce is appertained to as the range. The set of values that could be a function's labors is known as the co-domain.

Given

f( x) = 3x 6

g( x) = x5/3

So, the find the that both function are inverse of each other we've to prove

f( g( x)) = g( f( x))

So, f( g( x))

f( x+ 5/3)

= 3 (x+ 5/3) + 6

= 3x + 15 + 6

= 3x + 21

and, g( f( x))

= g(3x+ 6)

= 3x + 6 + 5/3

= 3x + 23/3

So, f( g( x)) ≠ g( f( x))

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ9

determine if the specified linear transformation is (a) one-to-one and (b) onto. justify each answer

Answers

To determine if a linear transformation is onto, we need to check if every vector in the range has at least one pre-image in the domain.

Let T be a linear transformation from R^3 to R^2 given by:

T (x, y, z) = (2x - y, x + 3y - 4z)

(a) To check if T is one-to-one, we need to check if for any two distinct vectors (x1, y1, z1) and (x2, y2, z2) in R^3, we have T (x1, y1, z1) ≠ T (x2, y2, z2). Equivalently, we can check if T (x1, y1, z1) - T (x2, y2, z2) ≠ 0 for any two distinct vectors (x1, y1, z1) and (x2, y2, z2) in R^3.

So, let (x1, y1, z1) and (x2, y2, z2) be two distinct vectors in R^3. Then:

T (x1, y1, z1) - T (x2, y2, z2) = (2x1 - y1, x1 + 3y1 - 4z1) - (2x2 - y2, x2 + 3y2 - 4z2)

= (2x1 - y1 - 2x2 + y2, x1 + 3y1 - 4z1 - x2 - 3y2 + 4z2)

= (2(x1 - x2) - (y1 - y2), x1 - x2 + 3(y1 - y2) - 4(z1 - z2))

For T to be one-to-one, the only solution to T (x1, y1, z1) - T (x2, y2, z2) = 0 must be (x1, y1, z1) = (x2, y2, z2). So, we need to solve the equation above and check if the only solution is (x1, y1, z1) = (x2, y2, z2).

To know more about Linear Transformation:

https://brainly.com/question/13005179

#SPJ4

For each example, state whether the one-sample, two-independent-sample, or related-samples t test is most appropriate. If it is a related-samples t test, indicate whether the test is a repeated-measures design or a matched-pairs design. A professor tests whether students sitting in the front row score higher on an exam than students sitting in the back row. A graduate student selects a sample of 25 participants to test whether the average time students attend to a task is greater than 30 minutes. A researcher matches right-handed and left-handed siblings to test whether right-handed siblings express greater emotional intelligence than left-handed siblings. A principal at a local school wants to know how much students gain from being in an honors class. He gives students in an honors English class a test prior to the school year and again at the end of the school year to measure how much students learned during the year.

Answers

All the sample tests are stated below :

1) A two-independent-sample t test.

2) A one-sample t test.

3) A related-samples t test.

4)  A related-samples t test.

What is Sample Test ?

It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing. A sample must be representative of the entire population and must not be biased toward any one trait.

A professor runs an experiment to see if front-row students perform better on an exam than back-row pupils.

This is a two-independent-sample t test, as there are two distinct groups (students in the front row and students in the back row) and the professor is interested in comparing the mean exam scores between them.

To determine whether students spend more than 30 minutes on an activity on average, a graduate student chooses a sample of 25 participants.

This is a one-sample t test, as there is only one group of participants and the graduate student is interested in comparing the mean time students attend to a task to a specific value (30 minutes).

To determine whether right-handed siblings exhibit higher emotional intelligence than left-handed siblings, a researcher pairs up right- and left-handed siblings.

This is a related-samples t test using a matched-pairs design, as the researcher is interested in comparing emotional intelligence scores of right-handed and left-handed siblings who are matched based on certain criteria (in this case, being siblings).

A local school's principal is curious to discover how much an honors class benefits the children there. He administers tests to honors English students before the start of the school year and again at the conclusion of the year to gauge their progress.

This is a related-samples t test using a repeated-measures design, as the principal is interested in comparing the test scores of the same group of students before and after taking the honors English class to measure how much they learned during the year.

Learn more about sample test visit:

brainly.com/question/13201390

#SPJ1

The well ordering property can be used to show that there is a unique greatest common divisor of two positive integers. Let a and b be positive integers, and let S be the set of positive integers of the form as + bt, where s and t are integers.
a) Show that S is nonempty
b) Use the well ordering property to show that S has a smallest element c.
c) Show that if d is a common divisor of a and b, then d is a divisor of c.
d) Show that c | a and c | b [Hint: First, assume that c does not divide a. Then a = qc + r, where 0 < r < c. Show that r E S, contradicting the choice of c.]
e) Conclude from (c ) and (d) that the greatest common divisor of a and b exists. Finish the proof by showing that this greatest common divisor is unique.

Answers

The well ordering property states that every non-empty set of positive integers contains a least element. This property can be used to show the existence and uniqueness of the greatest common divisor (GCD) of two positive integers.

a) To show that S is non-empty, we note that the element 0 is a member of S, since 0 = 0 + 0*b.

b) The well ordering property guarantees that S has a least element, which we denote as c.

c) Suppose d is a common divisor of a and b. We know that a = dq and b = dr for some integers q and r. Then c = a + bt = dq + drt = d(q + rt). Thus, d must be a divisor of c since it divides the terms on the right side of the equation.

d) Assume that c does not divide a. Then a = qc + r where 0 < r < c. This means r is also a member of S, contradicting the choice of c as the least element of S.

e) From (c) and (d) we can conclude that the GCD of a and b exists. To show that it is unique, we note that if a and b have two GCDs, d and e, then d and e must both divide c. Since c is the least possible value, this implies that d and e must actually be the same number, thus showing the GCD of a and b is unique.

To learn more about integers:

https://brainly.com/question/17695139

#SPJ4

Un estudiante diseñó una investigación para probar el efecto del color de la luz en el crecimiento de las plantas. 1. ¿Cuál fue la variable independiente en la investigación? A. Color de la bombilla B. Altura de la planta C. Horas de luz D. Tamaño de la olla Plant Growth Investigation Blue Light Yellow Light Red Light State to ​

Answers

La intensidad de la luz afecta la tasa de fotosíntesis, cuanto mayor es la intensidad de la luz, mayor es la tasa de fotosíntesis y viceversa. ver explicacion.

What is plant growth?

Important structures in plant development are buds, shoots, roots, leaves, and flowers; plants produce these tissues and structures throughout their life from meristems located at the tips of organs, or between mature tissues. Thus, a living plant always has embryonic tissues.

La fotosíntesis es el proceso mediante el cual las plantas verdes fabrican su propio alimento en presencia de luz solar, clorofila, dióxido de carbono y agua.

La intensidad de la luz afecta la tasa de fotosíntesis, cuanto mayor es la intensidad de la luz, mayor es la tasa de fotosíntesis y viceversa. Cuando hay una mayor intensidad de luz, hay más luz disponible para impulsar las reacciones de la fotosíntesis.

For more information, refer to the link:-

brainly.com/question/19524691

#SPJ9

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

The rate at which the water level is rising when the water level is 3 cm,

⇒ 0.65 cm / sec

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let us assume it is a regular pyramid. The (altitude) height "h" of apex from base square, slanting height and the side "a" of the base square rise uniformly and proportionally when we move from the apex point to the base.

Now, If height (altitude) h becomes x times, then side "a" of the base square becomes x times, the slanting height also becomes x times.  Thus, the area b of the base square rises x² times.

Δh / h = Δa / a  

Δb / b  = 2 Δa / a = 2 Δh / h    

Or,     h₁/h₂ = a₁/a₂

Since, We know that;

⇒ V = 1/3 b h = 1/3 a² h

⇒ d V / dt = 1/3 a² dh/dt  + 1/3 h a da/dt

                 = 1/3 a² dh /dt + 2/3 h a  (a/h) (dh/dt)

                 = 1/3 a² dh / dt + 2/3 a² dh/dt

Hence, We get;

dV/dt  = a² dh/dt        

dh/dt = (1/a²) dV/dt

We have;

h₀ = 5 cm and a₀ = 3 cm    

At the base;

When h = 5cm,  

Hence,  h / h₀ = a/a₀ ;

⇒ a = a₀ h / h₀ = 5×5/3 = 8.3 cm

And, dh/dt = 1/8.3² × 45 = 45/68.89 cm/sec = 0.65 cm / sec

Thus, The rate at which the water level is rising when the water level is 3 cm,

⇒ 0.65 cm / sec

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

can you please solve?

Answers

Answer: (0,0)

Step-by-step explanation: 3+5=8-4=4-4=0

If it takes 4/5 of an hour to paint 2/5 of a room how long to paint 1 room

Answers

Answer: 2 hrs

Step-by-step explanation:

4/5 + 4/5 = 1 3/5 + 2/5 (half of 4/5) = 2

         ↑

(4/5 of a room)

suppose that cars cross the point a in a highway following a poisson process with rate 4 cars per minute. suppose bob runs across the point a blindly, which takes him t seconds. please calculate the probability that he will be hit by a car with

Answers

Therefore, the probability that Bob will be hit by a car while crossing the point A is 1 [tex]-e^{-4t}[/tex] , where t is the time it takes him to cross the point A in seconds.

If the cars follow a Poisson process with rate 4 cars per minute, then the time between successive cars follows an exponential distribution with parameter λ = 4. Therefore, the probability density function of the time between cars is given by:

f(t) = λe^(-λt)

Since Bob takes t seconds to cross the point A, the probability that he will be hit by a car during this time is the probability that a car arrives within t seconds of his crossing, which is given by the cumulative distribution function:

F(t) = P(X ≤ t) = ∫[0, t] f(x)dx = ∫[0, t] 4e⁽⁻⁴ˣ⁾dx

Evaluating this integral, we get:

F(t) = [tex]-e^{-4t}[/tex]

Learn more about probability here: brainly.com/question/24756209

#SPJ4

please help quick!
photo attatched!

Answers

The missing values in the ratio table on pages and minutes is :

Pages         1 / 4    3 / 4    1 ¹ / ₂     5

Minutes      1 / 2      1 ¹ / ₂     3       10

How to fill the ratio table ?

To fill the ratio table, find the relationship between Minutes and Pages :

= 1 / 2 ÷ 1 / 4

= 2 mins per page

This means that every page is read in 2 minutes.

3 / 4 pages would be read in :

= 3 / 4  x 2

= 1 ¹ / ₂ minutes

3 minutes would allow for the reading of :

= 3  / 2

= 1 ¹ / ₂ pages

5 pages would be read in:

= 5 x 2

= 10 mins

Find out more on ratio tables at https://brainly.com/question/2914376

#SPJ1

In ​Quadrilateral ABCD​ , AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=27°. What is m∠5? Enter your answer in the box. ° Trapezoid A B C D with segment B D. Angle A D B is angle 1. Angle B D C is angle 2. Angle C is angle 3. Angle A is angle 4. Angle A B D is angle 5. Angle C B D is angle 6.

Answers

The measure of m∠5 of the quadrilateral is m∠5 = 27° because of alternate interior angles

The solution is Option C. Angle A B D is angle 5

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the quadrilateral be represented as ABCD

Now , the diagonal DB is the transversal line passing through the 2 parallel lines of the quadrilateral

And , the measure of m∠2 = 27°

The measure of m∠2 = measure of m∠5 ( alternate interior angles are equal )

So , the angles m∠2 and m∠5 are alternate interior angles

And , the measure of m∠5 = 27°

Hence , the measure of m∠5 = 27° ( interior angles )

To learn more about parallel lines cut by transversal click :

https://brainly.com/question/28182928

#SPJ9

Esmerelda is conducting a clinical drug trial. She has data from an Experiment Group and a Control Group. She wants to see which group feels less pain after having been given a new painkilling drug called Floximin. The pain scale is 1 = no pain, 5 = moderate pain and 10 unbearable pain (with values in between of course). Here are data for each:Experimental Group "Floximin" (M-3.14, SD 132) Control Group, "placebo (M-7.22, SD = 2.40) Using the mean and standard deviation for the Experimental Grour, about what is the pain range for most people in this group? (From where to where on the 1 - 10 pain scale) O 4.82 - 9.62 O 5.00 - 10.00 O 1.82 - 4.46 O 2.00 - 5.00

Answers

The mean of the Experimental Group is -3.14 and the standard deviation is 132.

We can use this data to calculate the range of pain for most people in this group.

Using the formula for standard deviation, we can find the lower and upper bounds of the range. The lower bound is the mean minus one standard deviation, or[tex]-3.14 - 132 = -135.14[/tex]. The upper bound is the mean plus one standard deviation, or [tex]-3.14 + 132 = 128.86[/tex].

When converted to the 1 - 10 pain scale, the lower bound is 1.82 and the upper bound is 4.46. Therefore, we can conclude that the range of pain for most people in the Experimental Group is 1.82 - 4.46.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

Use the Exterior Angle Theorem to find the measure of each angle.

mangleC =
mangleD =
mangleDEC =

Answers

Answer:

∠C = 35°

∠D = 76°

∠DEC = 69°

Step-by-step explanation:

Exterior angle theorem:

    Exterior angle equals the sum of opposite interior angles (remote angles).

               ∠C + ∠D = ∠DEF

      3y + 5 + 7y + 6 =  111°

      3y + 7y + 5 + 6 = 111

Combine like terms,

              10y +  11 = 111

Subtract 11 from both sides,

                      10y = 111 - 11

                     10y  = 100

Divide both sides by 10

                       y = 100 ÷ 10

                       [tex]\boxed{y = 10}[/tex]

∠C = 3y + 5

      = 3*10 + 5

      = 30 + 5

[tex]\boxed{\bf \angle C = 35^\circ}[/tex]

∠D = 7y + 5

      = 7*10 + 6

     = 70 + 6

 [tex]\boxed{\bf \angle D = 76^\circ}[/tex]

∠C + ∠D + ∠DEC = 180°      {Angle sum property of triangle}

  35 + 76 + ∠DEC = 180

            111 + ∠DEC = 180

                    ∠DEC = 180 - 111

                   [tex]\boxed{\bf \angle DEC = 69^\circ}[/tex]

       

An element with a mass of 820 grams decays by 24% per minute. To the nearest
minute, how long will it be until there are 120 grams of the element remaining?

Answers

7 minutes will it be until there are 120 grams of the element remaining.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

We have,

An element with a mass of 820 grams decays by 24% per minute. To the nearest minute.

Now, 100 - 24 = 76% of the element remains after each minute.

So, 820 x (0.76[tex])^t[/tex] = 120 where t is number of minutes.

(0.76[tex])^t[/tex]  = 0.146

Taking log both side we get

t log 0.76 = log 0.146

t = 7.00724

t = 7 minutes

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ7

To rent a certain meeting room, a college charges a reservation fee of 37 and an additional fee of 7.90 per hour. The chemistry club wants to spend at most 92.30 on renting the meeting room.

Answers

Answer:

t ≤ 8

Step-by-step explanation:

Equation Total

1 hour 32 + 9.4 41.4

2 hours 32 + 2(9.4) 50.8

3 hours 32 + 3(9.4.) 60.2

4 hours 32 + 4(9.4.) 69.6

5 hours 32 + 5(9.4.) 79.0

6 hours 32 + 6(9.4.) 88.4

7 hours 32 + 7(9.4.) 97.8

8 hours 32 + 8(9.4.) 107.2

So we know the maximum amount of time is 8 hours. So now let's express this as an inequality:

32 + 9.4t ≤ 107.2 Now let's solve for t

9.4t ≤ 75.2

t ≤ 8

Determine the ratio of the volume of a paraboloid (the solid generated by rotating a parabola about the y-axis) to the volume of a cylinder with the same height and base radius. You may assume that the volume of the cylinder is V_cyl = pi r^2 h, but you must derive the volume of the paraboloid by treating it as a solid of revolution. Determine the ratio of the volume of a sphere to the volume of a cylinder with the same radius, and the height the same as the diameter of the sphere. You may assume that the volume of the cylinder is V_cyl = pi r^2 h, but you must derive the volume of the sphere by treating it as a solid revolution. (Archimedes was particularly proud of this last result and requested to have it inscribed on his grave. The Roman philosopher Cicero later discovered the tomb and had found it overgrown with vegetation. I was in Syracuse this last Summer and visited the tomb and can confirm that no such inscription exists today.)

Answers

The volume of a paraboloid with height h and base radius r can be found by treating it as a solid of revolution, rotating the parabolic cross-section about the y-axis.

The equation for the parabola is y = x^2 / (4h), so the equation for the cross-section is x = 2sqrt(hy). The volume can be found by integrating the area of the cross-section from y = 0 to y = h, and then multiplying by 2pi:

V_parab = 2pi * ∫[0,h] (2sqrt(hy))^2 dy, = 2pi * ∫[0,h] 4hy dy= 2pi * 2hy^2]_[0,h] = 4/3 * pi * h^3

The volume of a cylinder with the same height and base radius r is V_cyl = pi * r^2 * h. The ratio of the volume of the paraboloid to the volume of the cylinder is: V_parab / V_cyl = (4/3 * pi * h^3) / (pi * r^2 * h)

= (4/3 * h^2 * r)

For the second part, the volume of a sphere with radius r can be found by treating it as a solid of revolution, rotating a semicircle about its diameter.

The equation for a semicircle with radius r is y = sqrt(r^2 - x^2), so the equation for the cross-section is x = sqrt(r^2 - y^2). The volume can be found by integrating the area of the cross-section from y = -r to y = r, and then multiplying by 2pi: V_sphere = 2pi * ∫[-r,r] (sqrt(r^2 - y^2))^2 dy

= 2pi * ∫[-r,r] (r^2 - y^2) dy = 4/3 * pi * r^3

The volume of a cylinder with the same radius and height (which is equal to the diameter of the sphere) is V_cyl = pi * r^2 * 2r = 2pi * r^3. The ratio of the volume of the sphere to the volume of the cylinder is: V_sphere / V_cyl = (4/3 * pi * r^3) / (2pi * r^3) = 2/3

You can read more about the volume of the paraboloid at https://brainly.com/question/14307074

#SPJ4

Please help I can’t figure it out

Answers

Answer:

20

Step-by-step explanation:

592--------16hours

740---------x hours

x=740 ×16÷592 =20

Answer:

20 hours

Step-by-step explanation:

Find speed from distace and time taken to reach uncle's house

s = d/t = 592/16

s = 37 miles/hr

then find time from distance to chicago and time taken to reach there:

t = d/s = 740/37

t = 20 hours

Hope this helps!

suppose that a and b are diagonalizable matrices of the same size, i.e.\ there exist invertible matrices u and v such that uau^{-1} and vbv^{-1} are diagonal. show that ab =

Answers

ab is diagonalizable and can be written as a product of invertible matrices.

Since a and b are both diagonalizable, there exist invertible matrices u and v such that [tex]uau^{-1} and vbv^{-1}[/tex] are both diagonal matrices. Thus, we can rewrite ab as [tex]uau^{-1}vbv^{-1}[/tex]. Since matrix multiplication is associative, the order of multiplication does not matter and thus [tex]ab = u(au^{-1}vb)v^{-1}[/tex]. Since the [tex]au^{-1}vb[/tex] is also diagonalizable, it can be written as c, where c is a diagonal matrix. Thus, [tex]ab = ucv^{-1}[/tex], which is also a diagonal matrix. Therefore, ab is diagonalizable and can be written as a product of invertible matrices.

Learn more about invertible matrices here:

https://brainly.com/question/5559234

#SPJ4

Complete questiom:

Suppose that A and B are diagonalizable matrices of the same size, i.e.\ there exist invertible matrices U and V such that [tex]UAU^{-1} and VBV^{-1}[/tex]are diagonal. Show that AB = UDEV, where UDEV is also a diagonal matrix.

National Hurricane Center estimates that the Gulf of Mexico averages 3 major Hurricanes (Category 3 or higher) in a season.

a) What is the Mean number of major hurricanes gulf can expect in a season?
b) What is the probability that the Gulf will have no major hurricanes in 2022?
c) What is the probability that the Gulf will have at least one major hurricane in 2022?
d) What is the probability that the Gulf will have three major hurricanes in 2022?

Answers

The Mean number of major hurricanes gulf can expect in a season is 3.

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

What is mean?

The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.”

Given:

Gulf of Mexico averages 3 major Hurricanes

Since, It is stated that the Gulf experiences 3 major hurricanes on an average in a season. Since the average is the expected no. of observations the mean no. of major hurricanes Gulf expect is 3.

Hence, the Mean number of major hurricanes gulf can expect in a season is 3.

Learn more about mean at:

https://brainly.com/question/1136789

#SPJ1

An instructor grades on a curve (normal distribution) and your grade for each test is determined by the following where S = your score. A-grade: Su + 20 B-grade: u + OSS< + 20 C-grade: u-OSS<+ D-grade: -20 SS-O F-grade: S

Answers

The formula for a curve grade is based on a normal distribution with the average score being 0.

The formula for each grade is as follows:

A-grade: S + 20

B-grade: S + 10S< + 20

C-grade: S - 10S< + 20

D-grade: S - 20

F-grade: S < 0

The formula  is based on a normal distribution with the average score being 0.

For example, if the average score is 50 and your score is 55, then you would receive an A-grade because your score is 5 points above the average. This can be calculated by adding 20 points to your score of 55 resulting in a grade of[tex]75 (55 + 20 = 75)[/tex]. Similarly, if your score is 40, then you would receive a C-grade because your score is 10 points below the average. This can be calculated by subtracting 10 points from your score of 40 resulting in a grade of 30 (40 - 10 = 30).

Learn more about normal distribution here:

https://brainly.com/question/29509087

#SPJ4

the sampling distribution used when making inferences about a single population's variance is a(n) _____ distribution.

Answers

The Sampling Distribution used when making inferences about a single population's variance is a(n) Chi Square distribution.

The Chi Square distribution is defined as a continuous probability distribution that takes only non-negative values. It is used to analyze the variability of a set of data and is frequently used in hypothesis testing and confidence interval estimation.

In this test, the test statistic follows a chi-square distribution with (n - 1)  degrees of freedom, where n = sample size. The larger the size of the sample , the closer the sampling distribution of test statistic will approach to  a Normal Distribution .

Therefore , the chi-square distribution is a statistical tool which the researchers use to draw conclusions about the variability of a population based on a sample.

Learn more about Chi Square Distribution here

https://brainly.com/question/30259945

#SPJ4

Other Questions
cells of the epidermis derive from stem cells of the stratum basale. describe how the cells change as they become integrated into the different layers of the epidermis. a wholesale seller of turquoise received a fax from a retail seller of indian jewelry, a long-time custom the process of arranging planning matrix information so the clusters of information with a predetermined level or type of affinity are placed next to each other on a matrix report. Do the following arithmetic as if these were five-bit signed representations and indicate if overflow occurs and, if so, why. Note: Remember that you want to add. So, for signed subtraction, always convert the subtrahend (the number being subtracted) to its 2's complement and add it. Do this whether or not the subtrahend is negative OR positive and still check for overflow! (8 points) a. 10110 + 01101 b. 11001 + 00101 c. 10110 01101 d. 11111 01011 7. Assume that Register o contains 0007F144 Register 1 contains 00000128 Register 7 contains EC073508 Register 9 contains 00000022 If they are valid, calculate the absolute D(X,B) addresses for the representations below. If they are not valid, explain why. (12 points) a. 56(,1) b. 0(0,1,7) c. 6(7,0) d. 12 (9) e. 255(9,1) f. 11(1,7) An electrician invested $9,000 in an investment account paying 2. 45% interest compounded semiannually. After 30 years, the value of the account will have a balance of $18,685. 71. If the electrician's investment was compounded continuously instead of twice per year, what would be the difference in the account balance after 30 years?. Suppose you and a friend are playing a game that involves flipping a fair coin 3 times. Let X = the number of times that the coin shows heads. The probability distribution of X is shown in the table.The expected number of heads is _____.The standard deviation of the number of heads is ____. Round to three decimal places. what led to the assassination of archduke franz ferdinand What did Jackson reveal about his presidency when he challenged the Supreme Court to enforce its ruling in the Cherokee cases? identify the formed elements of the blood that are found in this blood smear micrograph by clicking and dragging the labels to the correct location. Find the ratio of triangles to total shapes in the diagram below. Calculate the following to four significant figures: (a) the percent composition of ammonia, NH3 (b) the percent composition of photographic fixer solution (hypo), Na2S2O3 (c) the percent of calcium ion in Ca3(PO4)2 What is mission of chick fil-a mission statement ? write the summary of 365 days books whos is the scientists who are credited with the cell theory.? Someone please help its an emergency!! Write the sentence as an equation.116 is equal to the product of z and 361, reduced by 348 There are four main categories of strategies that managers may define to create and sustain a competitive advantage. Which of these is an example of a business-level strategy?a. A finance director developing a plan to improve the return on invested capital (ROIC) by negotiating more favorable payment terms with customers and vendorsb. A CEO of a multidivisional company selecting a new customer market segment to pursue and establishing a new business unit to serve the segmentc. A general manager defining a superior customer service strategy for his division to better deliver its productsd. The vice president of human resources approving a 10% increase in staff in the company's Midwest division The plane vertically dividing the body into equal right and left portions is? Joan bought 5 yards of fabric for $2.85 a yard, including tax. Which expression will find the change John received if she gave the cashier $50 What is the importance of office equipment in the office?