Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter

The function h(x) is the result of two rigid transformations, reflecting the function f(x) about the x-axis and translating it vertically 7 units down.

In this problem we must determine the difference between the quadratic functions f(x) = x² and h(x) = - x² - 7, we can infer the change necessary to derive h(x) by means of rigid transformations, that is, transformations applied on a function such that the features of the functions are conserved.

All the rigid transformations required to transform f(x) into h(x) are listed below:

Now we proceed to plot the two functions. From the graph we noticed that h(x) is the result of reflecting f(x) about the x-axis and translating 7 units in the -y direction.

To learn more on rigid transformation: https://brainly.com/question/1761538

#SPJ1

The calculated area of the shape if it is a circle with a radius of 1 1/9 inches is 2200/567 square inches

The dimension given from the question is

Dimension = 1 1/9 inches

This is a single dimension, and as such the shape whose area is to be calculated is a circle

When the dimension is rewritten as radius, we have

Radius, r = 1 1/9 inches

Calculating the area, we make use of the following formula

Area = πr²

Substitute the known values in the above equation, so, we have the following representation

Area = π * (1 1/9)²

This gives

Area = 22/7 * (10/9)²

So, we have

Area = 22/7 * 100/81

Evaluate the product

Area = 2200/567

Hence,  the area is 2200/567 square inches

Read more about area at

https://brainly.com/question/24487155

#SPJ1

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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

Answer:

122 times

Step-by-step explanation:

20+102=122

(what is this question lol)

Answer:

Well. Depending on Sam's age, she could've been kissed many times. Not just boy her bf or bestie, anyone could kiss her throughout her life time. Your question is very vague and can have many answers. But I'll take a guess and say she was kissed more than 122 times.

Step-by-step explanation:

life.

The choose (C) 60

The measure of the angles of a triangle is 180, and this triangle is equilateral, so 180/3=60, each angle is 60°

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Thus, the equation of the plane determined by the intersecting lines L1 and L2 is: -2x + 14y + 18z - 48 = 0.

To find the plane determined by the intersecting lines L1 and L2, we need to find a normal vector to the plane.

First, we'll find two direction vectors for the lines L1 and L2.

For L1:

x = -1 + t

y = 2 + 4t

z = 1 - 3t

Taking the differences of these equations, we obtain two direction vectors for L1:

v1 = <1, 4, -3>

For L2:

x = 1 - 4s

y = 1 + 2s

z = 2 - 2s

Again, taking the differences of these equations, we obtain two direction vectors for L2:

v2 = <-4, 2, -2>

Since the plane contains both lines, the normal vector to the plane will be perpendicular to both direction vectors, v1 and v2.

To find the normal vector, we can take the cross product of v1 and v2:

n = v1 x v2

n = <1, 4, -3> x <-4, 2, -2>

Using the cross product formula, the components of the normal vector n can be calculated as follows:

n = <(4 * -2) - (-3 * 2), (-3 * -4) - (1 * -2), (1 * 2) - (4 * -4)>

n = <-8 - (-6), 12 - (-2), 2 - (-16)>

n = <-2, 14, 18>

So, the normal vector to the plane determined by the intersecting lines L1 and L2 is n = <-2, 14, 18>.

Now we can write the equation of the plane using the normal vector and a point on the plane (which can be any point on either L1 or L2).

Let's choose the point (-1, 2, 1) on L1.

The equation of the plane can be written as:

-2(x + 1) + 14(y - 2) + 18(z - 1) = 0

Simplifying:

-2x - 2 + 14y - 28 + 18z - 18 = 0

-2x + 14y + 18z - 48 = 0

To know more about plane,

https://brainly.com/question/30347508

#SPJ11

Answer:

2 to 1

Step-by-step explanation:

A horizontal side of the large figure has length 4.

A corresponding side of the small figure has length 2.

ratio = 4/2 = 2/1

Answer: 2 to 1

Answer:

Answer: 2 to 1

Step-by-step explanation:

took usa test prep :)

write it how i wrote it please for correct answer!

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

Answer:

Exponents multiply a base number by itself continuously

Step-by-step explanation:

Exponents create repeated multiplication, where the base number will be continuously multiplied by itself.

The number of times it will be multiplied depends on the exponent.

For example, 2³ will be the number 2 multiplied by itself 3 times.

Answer:

Good thing you're thinking about the future.

Tip #1: Think about what you like to do or excel at. Like if you're good at medicine and you like helping people you can find a major for you to become a doctor.

Tip #2: Start finding colleges you're interested in going to, and using Tip #1, find colleges that can help support you in the major you've decided to do. So if you've decided to major in something to do with technology, go to MIT (Massachusetts Institute of Technology). Decide also if you want to go to a college that's far or if you want to be near your home state. Like if you live in California, you can go to UCLA.

Tip #3: Always have backups. Apply to all the colleges you want, because you might not get accepted to some.

Tip #5: If you can, apply for scholarships. It'll help!!

Tip #4: Start getting used to being busy and waking up early!

Overall: Find a major and a college that you think you'll be most comfortable in and something you're interested in as well as excel at.

Step-by-step explanation:

Examples: Me. I like to help and comfort people. I've been interested in psychology and I excel at listening to others. So, I decided to take on Psychology as my major. As for my college, I want to aim high, so I already prepared to go to Stanford. I had other colleges in mind nearby just in case I didn't get in to my top choice. I live in California and I wanted to stay close to home :)

My sister majored in math because she loved doing math. She was in a different major before, but switched majors. She wanted to stay in California like me, but was afraid of applying to some major colleges because she didn't think she'll make those in. So she went to Pomona College.Now she has graduated and is a research analyst.

What matters is, you're happy with what major and college you're taking. Good luck.

An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.

Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus the vertex angle is 38 and the base angle is 71 and their sum is 109.

The triangles 45/45/90 are always isosceles. This indicates that two of the triangle's legs are congruent. Which two sides of the figure are congruent is shown. The Pythagorean Theorem can be used to determine the hypotenuse's length from this point.

This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees.

Therefore,

An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.

To learn more about Acute isosceles triangle visit :

brainly.com/question/28556034

#SPJ4

The ratio of investment is 3:4:5, which means the total ratio is 3+4+5 = 12.

Let the common ratio be x, then the amount invested by each entrepreneur is:

3x + 4x + 5x = 12x

According to the problem, 12x = $875,000

So, x = $875,000/12 = $72,916.67

Therefore, the second largest share is 4x = 4*$72,916.67 = $291,666.68

Rounding off to the nearest 100th, the second largest share is $291,666.67.

For more questions like share of the three visit the link below:

https://brainly.com/question/25221384

#SPJ11

Answer:

x+2y+3z=38

Step-by-step explanation:

here you go!

The query concerns the Frobenius technique, which is used to discover power series solutions to specific types of differential equations. The question asks how many series solutions can be obtained using this strategy for different provided equations. The answer shows how the number of solutions may be calculated depending on the given equation circumstances.

The result would be determined by the type of problem being answered. In general, if the equation has a normal singular point (i.e., a place where the coefficients of the differential equation become infinite but not at a pole), then the Frobenius technique should provide two linearly independent series solutions. If the equation contains an irregular singular point (i.e., a place where the differential equation's coefficients become infinite at a pole), the behavior of the solutions around that point can be more difficult, and the number of series solutions obtained using the Frobenius approach might vary. In some circumstances, just a single-series solution is found, whilst, in others, multiple-series solutions differ by integer powers of the independent variable are found.

Learn more about differential equations:

https://brainly.com/question/25731911

#SPJ11

Answer: LN = 15

Make a proportional relationship:

\(\sf \dfrac{LN}{JL} = \dfrac{LM}{KL}\)

Insert the values:

\(\rightarrow \sf \dfrac{LN}{30} = \dfrac{6}{30-18}\)

cross multiply:

\(\rightarrow \sf LN = \dfrac{30(6)}{12}\)

Simplify:

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

\(\implies \overline{KM} \parallel \overline{JN}\)

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides proportionally.

\(\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}\)

Given:

⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

\(\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}\)

Answer:

12097.8001

Step-by-step explanation:

Answer:

19 minutes

Step-by-step explanation:

Taking the sea level as the reference point, the values of depths to be considered can be determined as follows;

Total depth from sea level to the sea floor = 104 feet

Katy's depth from the sea level (depth covered) = 28 feet

Katy's distance to the sea floor = 104 - 28

                                          = 76 feet

Katy's distance to the sea floor = 76 feet

But Katy moves at a rate/ speed of 4 feet per minute;

So that,

speed = \(\frac{distance}{time}\)

time = \(\frac{distance }{speed}\)

       = \(\frac{76}{4}\)

       = 19

time = 19 minutes

Therefore it would take Katy 19 minutes to reach the sea floor.

Answer:

Step-by-step explanation:

No, Colin is not correct. He needs to subtract first to get the total distance and then divide by the rate. He should have put parentheses around 104–28 and then divided by 4 to get the answer of 19 minutes.

If after the plumber has worked alone for 3 hours, his apprentice joins him and working together they complete the job 4 hours later, it would take the plumber 9 hours to do the entire job by himself.

Let's start by assigning some b to represent the rate at which each person works. Let's say that the plumber's rate is P (in units of job per hour) and the apprentice's rate is A (also in units of job per hour). Since the plumber works twice as fast as the apprentice, we can write:

P = 2A

Next, let's think about how much work can be done in a certain amount of time. If the plumber works alone for 3 hours, he completes 3P units of work. When the apprentice joins him, they work together for another 4 hours to complete the entire job, which is a total of 7 hours of work. So, the amount of work done in those 4 hours is:

4(P + A)

We also know that the total amount of work is 1 (since it's one complete job). Putting this all together, we can write an equation:

3P + 4(P + A) = 1

We can simplify this to:

7P + 4A = 1

But we also know that P = 2A, so we can substitute that in:

7(2A) + 4A = 1

Simplifying this, we get:

18A = 1

So, A = 1/18. This means that the apprentice can complete 1/18 of the job in one hour. Since the plumber works twice as fast, he can complete 2/18 of the job (or 1/9) in one hour.

To find out how long it would take the plumber to do the entire job by himself, we can use the formula:

Time = Work / Rate

The entire job is 1, and the plumber's rate is 1/9. So:

Time = 1 / (1/9) = 9 hours

To learn more about time and work click on,

https://brainly.com/question/15447600

#SPJ4

Answer:

There are 6 sandwich choices.

Step-by-step explanation:

2*3=6

Answer:

Does NOT support

Step-by-step explanation:

While the absolute value is greater, when it comes to negative, bigger numbers aren't always better. In fact, two out of three of these equations go AGAINST his claim. For example, -15(x)<14(y), and -0.9(x)<-0.8(y).

Answer:

Conclusion:

Step-by-step explanation:

Given

We know that the diagonals of a parallelogram bisect each other.

Therefore,

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

The simplified radical for the given equation is 2√3.

The given equation is \(\frac{3}{x} =\frac{x}{4}\).

Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.

To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:

\(\frac{3}{x} =\frac{x}{4}\)

⇒x×x=3×4

⇒x²=12

⇒x=±√12

From this, we can see that the solutions for the equation are the positive and negative roots of 12.

By simplifying the radical, we get √12 = √(2² x 3) = 2√3

Therefore, the simplified radical for the given equation is 2√3.

To learn more about radicals visit:

https://brainly.com/question/1369233.

#SPJ1

Solve in equal value Method step by step solution is given below.

Equal value is a concept that states all people, regardless of race, gender, ethnicity, sexual orientation, or any other defining characteristic, are of equal worth and should be treated equally. This concept is fundamental to democracy and is enshrined in the Universal Declaration of Human Rights. Equal value is also a foundation of economic theory, as it states that everyone should be able to access and benefit from economic resources, whatever their background.


Step 1: Isolate the 5y term on one side:
5y = -13-3x

Step 2: Divide both sides by 5:
y = (-13-3x)/5

Step 3: Replace the y with its expression:
x - 7 = (-13-3x)/5

Step 4: Distribute the -7 over the denominator of the right side:
x - 7 = (-13-3x-35)/5

Step 5: Add 7 to both sides:
x = (-13-3x-35+35)/5

Step 6: Simplify the expression:
x = (-13-3x)/5

Step 7: Solve for x:
x = -26/8

To know more about equal value click-
https://brainly.com/question/27882730
#SPJ1

-9 will make the equation 3x-6/3 = 7x-3/6 true.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Given

Equation

3x-6/3 = 7x-3/6

Cross multiplying

6(3x - 6) = 3(7x - 3)

18x - 36 = 21x - 9

21x - 18x = -9 + 36

3x = -27

x = -9

-9 will make the equation 3x-6/3 = 7x-3/6 true.

To learn more about equation, visit:

https://brainly.com/question/10413253

#SPJ1

The correct expression is (x+9)/2, The smallest number is 0.104.

Compare all the digits in ascending order before the decimal, then all the digits in ascending order after the decimal, to find the smallest number.

Sort the following integers in ascending order: 0.1, 0.005, 1000, 1.001, 100, 0.05. The sequence is as follows:

0.005, 0.050, 0.1, 1.001, 100, 1000.

Because the 5 in 0.050 is in the hundredths place whereas the 5 in 0.005 is in the thousandths place, 0.005 is smaller than 0.050.

When we compared two decimal values in Example 1, we saw that 0.2 is greater than 0.15.

The smallest number is 0.104.

The correct expression is (x+9)/2

To learn more about smallest number to refer:

brainly.com/question/17748653

#SPJ1

Answer:

Yasmin will spend $6

Nadia will spend $5.9

Step-by-step explanation:

Step one:

the cost of 5 jars at Central market is $3

the cost of 1 jar = 3/5= $0.6

60 cents per jar

we are told that Valley Market sells jars of jam at 59 cents per jar.

$0.59

Step two:

If Yasmin buys 10 jars from Central Market,

Yasmin will spend = 10*0.6= $6

If Nadia buys 10 jars from Valley Market.

Nadia will spend = 10*0.59= $5.9

The market difference is 6-5.9= $0.1

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

False.A sample is a subset of the entire set of elements in which a researcher is interested.

A sample is a subset of the entire set of elements in which a researcher is interested. The sample is typically selected to represent the characteristics of the larger population from which it is drawn.

By studying the sample, researchers can make inferences about the larger population. However, the sample is not the entire set of elements, but rather a smaller subset selected for study.

In research, the population refers to the entire set of elements that a researcher is interested in studying. This could be a group of people, animals, objects, or events that share common characteristics.

For example, if a researcher is interested in studying the effects of a new drug on patients with a certain disease, then the population would be all patients with that disease.

However, it is not always possible or practical to study the entire population. This is where sampling comes in. A sample is a smaller subset of the population that is selected to represent the characteristics.

By studying the sample, researchers can make inferences about the larger population.

For example, if a researcher wants to study the average height of people in a certain city, it would be impractical to measure the height of every single person in the city.

Instead, the researcher could select a representative sample of people and measure their height, then use statistical methods to estimate the average height of the entire population.

In summary, while the population refers to the entire set of elements in which a researcher is interested, a sample is a smaller subset of that population that is selected for study.

Learn more about sample

brainly.com/question/31421881

#SPJ11