Bob can do a job in 5 hours while Bill can do the same job in 8. How many hours would it take them, working together, to do this job?


plesa heap

Answer:

a. 20

b. 30

c. 75

b. 600 / 2000 * 100% (Change it to same unit)

3 / 10 * 100%

30%

You can slove every question by this method.

and dont forget to give me the brainest.

Answer:

x^2 + y^2 = 25

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:

x^2 + y^2 = 25

If an experimenter conducts a t-test for dependent means with 10 participants and the estimated population variance of difference scores is 20, the variance of the comparison distribution is 2.

The variance of the comparison distribution is an important concept in statistical hypothesis testing, particularly in t-tests for dependent means. This variance represents the variability in the difference scores between paired observations that would be expected by chance alone, assuming that the null hypothesis is true.

s²d = s² / n

where s² is the estimated population variance of difference scores and n is the number of pairs of observations.

Substituting the values given in the question, we get:

s²d = 20 / 10 = 2

Therefore, the variance of the comparison distribution is 2 and it is essential for conducting meaningful and accurate statistical analyses and drawing valid conclusions from experimental data.

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hggghghghhghghghghhghghghghhghhgStep-by-step explanation:

Answer:

3 units

Step-by-step explanation:

Since the y- coordinates are both 6 , then this is a horizontal line and the distance between the 2 points is the difference in the x- coordinates , that is

distance = | - 2 - 1 | = | - 3 | = 3

or

distance = | 1 - (- 2) | = | 1 + 2 | = | 3 | = 3

To evaluate the trigonometric functions of a specific real number t, we need to identify its corresponding point on the unit circle and calculate the values accordingly.

To evaluate the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) of a real number t, we can use the unit circle. The unit circle is a circle with a radius of 1 centered at the origin (0, 0) in the coordinate plane.

For any point on the unit circle, the x-coordinate represents the cosine of the angle, and the y-coordinate represents the sine of the angle. Therefore, if we have the angle t, we can find its corresponding point on the unit circle and determine the values of sine and cosine.

To find the tangent, cosecant, secant, and cotangent, we can use the reciprocal relationships of sine, cosine, and tangent. Specifically:

- Tangent (tan t) is equal to sine (sin t) divided by cosine (cos t).

- Cosecant (csc t) is equal to 1 divided by sine (sin t).

- Secant (sec t) is equal to 1 divided by cosine (cos t).

- Cotangent (cot t) is equal to 1 divided by tangent (tan t).

It's important to note that for certain values of t, the trigonometric functions may be undefined. For example, if t corresponds to a point on the unit circle where the x-coordinate is 0, the cosine and secant functions would be undefined because division by zero is not possible. Similarly, if t corresponds to a point where the y-coordinate is 0, the sine and cosecant functions would be undefined.

So, to evaluate the trigonometric functions of a specific real number t, we need to identify its corresponding point on the unit circle and calculate the values accordingly.

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Diversity in People can be seen in terms of:

In terms of Ethnicity,  people from various ethnic traditions bring a rich tapestry of sophistications, traditions, and outlooks to society. Access to Healthcare: Ensuring all has access to value healthcare improves the health and comfort of individuals, offspring, and communities.

In terms of Gender, embracing neutral diversity helps promote equal time for all genders in various fields and fights feminine-based bias. : Providing access to instruction for all members of society, although socio-economic rank, etc.

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See text below

Now we make a table and mention two examples of diversity in people and two examples of common good in society

The PERT expected activity time for this activity is 6 days.

To compute the PERT (Program Evaluation and Review Technique) expected activity time, we can use the formula:

Expected Time = (Optimistic Time + 4 * Most Likely Time + Pessimistic Time) / 6

Using the given values, we have:

Optimistic Time = 2 days

Most Likely Time = 5 days

Pessimistic Time = 14 days

Substituting these values into the formula:

Expected Time = (2 + 4 * 5 + 14) / 6

Expected Time = (2 + 20 + 14) / 6

Expected Time = 36 / 6

Expected Time = 6

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Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

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Julio's age is 12 years old.

To calculate unknown ages we will use the Linear Equation method. Here we need to form a linear Equation according to the conditions that are given problems.

Represent the Unkown ages with variables like x, y, z, etc., and solve the equation for the value of the variable in the Equation.

Here we have

Carrie is three times older than Julio

The Sum of their ages is 48

Let Julio be x years old

Given that Carrie is three times older than Julio  

Carrie's age = 3x

Sum of age = 3x + x = 4x

From the given data, 4x = 48

=> x = 12   [ divided by 4 ]

Julio age = 12

Therefore

Julio's age is 12 years old.

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80 * 25 /100 = 20 .........

Answer:

20

Step-by-step explanation:

25% of 80

to turn 25% into a decimal, 25 / 100 = 0.25  

multiply 80 by 0.25, 80 x 0.25 = 20

Probability are as follows:

P( choosing white marble first) = \(\frac{17}{38}\)

P( choosing white marble at second pick without replacement) = \(\frac{16}{38}\)

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are just two outcomes when you flip a coin: either it comes up heads or tails.

Given,

Green marbles = 19

White marbles = 17

Total marbles = 38

Probability:

P( choosing white marble first) = \(\frac{17}{38}\)

P( choosing white marble at second pick without replacement) = \(\frac{16}{38}\)

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Answer:

See Below.

Explanation:

Quadratic Form:

\(a {x}^{2} + bx + c\)

Quadratic Formula:

\(x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \)

Based on the information given from the question, we can deduce:

a = 1

b = 6

c = -5

Now we can substitute all these values into the formula to find x.

\(x = \frac{ - 6 + - \sqrt{ {6}^{2} - 4(1)( - 5)} }{2(1)} \\ = - 3 + \sqrt{14} \: or \: - 3 - \sqrt{14} \)

Answer: I'm guessing its Option (B.)

Step-by-step explanation:

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

Answer:

Step-by-step explanation: Chemistry is the study of how atoms and molecules interact with each other which occurs on the atomic scale. Chemists need a way of simply determining how many molecules they have in a beaker. The mole concept, which we will introduce here, bridges that gap by relating the mass of a single atom or molecule in amu to the mass of a collection of a large number of such molecules in grams.

As you learned, the mass number is the sum of the numbers of protons and neutrons present in the nucleus of an atom. The mass number is an integer that is approximately equal to the numerical value of the atomic mass. Although the mass number is unitless, it is assigned units called atomic mass units (amu). Because a molecule or a polyatomic ion is an assembly of atoms whose identities are given in its molecular or ionic formula, we can calculate the average atomic mass of any molecule or polyatomic ion from its composition by adding together the masses of the constituent atoms. The average mass of a monatomic ion is the same as the average mass of an atom of the element because the mass of electrons is so small that it is insignificant in most calculations. This is not much help in the laboratory for the typical chemist who only has a balance to weight out chemicals but needs to know how the number of atoms or molecules. Clearly something clever is needed but first let us briefly review how to calculated molecular masses.

Molecular

The molecular mass of a substance is the sum of the average masses of the atoms in one molecule of a substance. It is calculated by adding together the atomic masses of the elements in the substance, each multiplied by its subscript (written or implied) in the molecular formula. Because the units of atomic mass are atomic mass units, the units of molecular mass are also atomic mass units. The procedure for calculating molecular masses is illustrated in Example 1.

Example 1.7.1

Calculate the molecular mass of ethanol, whose condensed structural formula is CH3CH2OH. Among its many uses, ethanol is a fuel for internal combustion engines.

Given: molecule

Asked for: molecular mass

Strategy:

A Determine the number of atoms of each element in the molecule.

B Obtain the atomic masses of each element from the periodic table and multiply the atomic mass of each element by the number of atoms of that element.

C Add together the masses to give the molecular mass.

Solution:

A The molecular formula of ethanol may be written in three different ways: CH3CH2OH (which illustrates the presence of an ethyl group, CH3CH2−, and an −OH group), C2H5OH, and C2H6O; all show that ethanol has two carbon atoms, six hydrogen atoms, and one oxygen atom.

B Taking the atomic masses from the periodic table, we obtain

2×atomic; massofcarbon=2atoms(12.011amuatom)=24.022amu

6×atomic; massofhydrogen=6atoms(1.0079amuatom)=6.0474amu

1×atomic; massofoxygen=1atoms(15.9994amuatom)=15.9994amu ​

C Adding together the masses gives the molecular mass:

24.022 amu + 6.0474 amu + 15.9994 amu = 46.069 amu

Alternatively, we could have used unit conversions to reach the result in one step.

The same calculation can also be done in a tabular format, which is especially helpful for more complex molecules:

2C (2 atoms)(12.011 amu/atom) = 24.022 amu

6H (6 atoms)(1.0079 amu/atom) = 6.0474 amu

1O (1 atoms)(15.9994 amu/atom) = 15.9994 amu

C2H6O molecular mass of ethanol = 46.069 amu

Answer:

\(\displaystyle [-2, -1]\)

Step-by-step explanation:

To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of \(\displaystyle x,\)therefore we will split the second equation in negative half :

\(\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}\)

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Yes is it possible to construct a triangle with sides 4 cm 5 cm and 4.5 cm

What is Triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Concept:

Yes. It is possible to construct a triangle with lengths of its sides 4 cm,5 cm and 4.5 cm because the sum of two sides of a triangle is greater than the third side.

A triangle cannot be constructed if the two sides' sum equals the third side because then the two sides will also be the third side. As a result, for the triangle to be created, the sum of the two sides must be greater than the third side.

Any two triangle sides' lengths added together always equal the third side.

The triangle inequality can be used to calculate the best upper estimate of the size of the sum of two numbers in terms of the sizes of the separate numbers in mathematical analysis. if and only if the vector y is a nonnegative scalar of the vector x.

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Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

It has been proven that the lines bc and ad are equal.

Given that the lines ac and bd bisect each other, we can prove that the lines bc and ad are equal.

Firstly, we need to calculate the length of each side of the figure and label them accordingly. Let’s assume that the length of ac is x and the length of bd is y.

We know that the two lines ac and bd bisect each other, so the midpoint of ac and bd must be the same point, which is point c. We can use the midpoint formula to calculate the distance between points a and c:

Midpoint of ac = (x/2, 0)

Similarly, we can calculate the midpoint of bd:

Midpoint of bd = (y/2, 0)

Since the midpoints of ac and bd are the same, we have:

(x/2, 0) = (y/2, 0)

Therefore, we can calculate that x = y. This means that the lengths of ac and bd are equal and so the lengths of bc and ad must also be equal.

Therefore, bc = ad.

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The average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

The average value of a function f over a rectangle R is given by:

avg(f) = (1/Area(R)) * double integral of f over R

Here, f(x,y) = 5e^(yx) + e^y and R = [0,6] x [0,1]

The area of R is given by:

Area(R) = (6 - 0) * (1 - 0) = 6

So, the average value of f over R is:

avg(f) = (1/6) * double integral of f over R

We can evaluate the double integral using iterated integration. First, we integrate f with respect to y from 0 to 1, and then integrate the result with respect to x from 0 to 6:

integral of f(x,y) dy = integral of (5e^(yx) + e^y) dy

= (5x/2)e^(yx) + e^y + C

where C is the constant of integration.

Now, we integrate this result with respect to x from 0 to 6:

integral of [(5x/2)e^(yx) + e^y] dx = [(5/2) * integral of xe^(yx) dx] + integral of e^y dx

= [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1)] + ey + C

where C is another constant of integration.

Therefore, the average value of f over R is:

avg(f) = (1/6) * [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1) + ey] evaluated from y=0 to y=1 and x=0 to x=6

avg(f) = (1/6) * [(5/2) * (1/e^6 - 1) - (5/2)(1/e - 1/e^6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6) - (5/2)(e^-1 - e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6 - e^-1 + e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-1) + e - 1]

avg(f) ≈ 3.427

Therefore, the average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

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The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

The set of all potential outcomes or results of an experiment or random trial is referred to as the sample space in probability theory. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space.

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Answer:

369 km²

Step-by-step explanation:

Two rectangles

Area = (3x9) + (18x19)

= 27 + 342

= 369 km²

Based on inequalities, the expected total revenue generated from the sale of portable household generators by all the enterprises that sold at least 60 portable household generators during the quarter is greater than R900,000.

Inequality represents a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted as:

The average selling price of a portable household generator = R15,000

The number of portable household generators sold during the quarter ≥ 60

The expected total revenue ≥ R900,000 (R15,000 x 60)

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Answer:

3x-10y=-41

Step-by-step explanation:

"standard form of the line" is ax+by=c, where a, b, and c are free coefficients

first, we need to find the slope (m) of the line

that is calculated with the formula (y2-y1)/(x2-x1)

we have the points (3,5) and (-7,2)

label the points:

x1=3

y1=5

x2=-7

y2=2

substitute into the equation

m=(2-5)/(-7-3)

m=-3/-10

m=3/10

the slope is 3/10

before we put a line into standard form, we need to put it into another form first-- like slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

we already know the slope

here's our line so far:

y=3/10x+b

we need to find b; since the line will pass through the points (3,5) and (-7,2) we can use either one of them to find b

let's use (3,5) as an example. Substitute into the equation

5=3/10(3)+b

5=9/10+b

41/10=b

b is 41/10

this is the equation:

y=3/10x+41/10

now we can find the equation in standard form. Subtract 3/10x from both sides

-3/10x+y=41/10

a (the number in front of x cannot be negative OR less than one. First, let's multiply both sides by -1)

3/10x-y=-41/10

multiply both sides by 10 to clear the fraction

3x-10y=-41

^^ is the equation

hope this helps!

Answer: 120 miles

Step-by-step explanation:

If a car goes 60 miles per hour then in two hours (60×2) it will go 120

Hello!

1/6 ≈ 0.167

the answer is 0.167

Since the triangle is scalene, then every side must have diferent size. The options are

Then, all the options can be the perimeter of the triangle