a-software company is hiring an engineer and a manager. How many ways can these positions be filled if 17 people apply for the position of an engineer and 22 people apply for the position of a manager question

Answer: 0.072 cm^3

Step-by-step explanation:

density=mass*volume

Volume=gensity/mass

5.4/75=0.72

Answer:C

Step-by-step explanation:

i believe it is C because at first i thought it was B then realized it was a negative but c is a positive and a grater number C=5.8

Answer:

x=9,y=8

Step-by-step explanation:

Step 1: Substitute y=-8 into equation 1

9x+10(-8)=1

9x+(-80)=1

9x=1+80

9x=81

Step 2: Divide both sides by the coefficient of x which is 9 then,

x=9

Step 3: Also substitute x=9 into equation 1

9(9)+10y=1

81+10y=1

10y=1-81

10y=-80

Step 4:Divide both sides by 10 then,

y=-8

Considering the expression of a line, the slope of the line that passes through the pair of points (3, -4) and (-2,0) is -1.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (3, -4) and (x₂, y₂)= (-1, 0), the slope m can be calculated as:

m= (0 - (-4))÷ (-1 -3)

m= (0 +4)÷ (-1 -3)

m= 4÷ (-4)

m= -1

Finally, the slope of the line is -1.

Learn more about the equation of a line having 2 points:

brainly.com/question/16137599

brainly.com/question/2503591

#SPJ1

The distance from Jessica's school to her house is 7.48 miles.

Consider following diagram.

In right triangle ABC, vertex B is the Jessica's house vertex A be her school.

The route from her house to school consists of two straight legs.

She drives straight for 5 miles, and then she makes a right turn of 45 degrees and drives another 9 miles.

⇒ BC = 5 miles and AC = 9 miles

We need to find the distance from Jessica's school to her house in miles.

i.e., we need to find AB

Using Pythagoras theorem,

AC² = AB² + BC²

9² = AB² + 5²

AB = √(81 - 25)

AB = 7.48

Therefore, the distance from Jessica's school to her house is 7.48 miles.

Learn more about Pythagoras theorem here:

https://brainly.com/question/13956035

#SPJ1

Answer:

24 acres of corn, so the equivalent ratio is 18 acres of barley to 24 acres of corn.

Step-by-step explanation:

18 ÷ 3 = 6, so multiply 4 × 6 to obtain 24 acres of corn.

Alternately: Let c be the number of acres of corn. Set up and solve this proportion.

[tex] \frac{3}{4} = \frac{18}{c} [/tex]

[tex]3c = 72[/tex]

[tex]c = 24[/tex]

Answer:

11 = A

12 = B

Step-by-step explanation:

I'd advice you take some extra lessons in this because this is sort of basic math

The inequality expression given as |2x - 6 | < 0  has a solution of x > 3

From the question, the inequality is given as

|2x-6|<0

This gives

|2x - 6 | < 0

Remove the absolute bracket

So, we have the following representation

2x - 6 > 0

Add 6 to all sides of the inequality

So, we have

2x - 6 + 6 > 0 + 6

Evaluate the like terms

So, we have

2x > 6

Divide through by 2

x > 3

Hence, the solution to the expression is x > 3

Read more about inequality at

brainly.com/question/25275758

#SPJ1

In linear equation, x = 9 is the value of Maggie that she made.

What is linear equation in math?

4x + 2 = 7x - 25

7x - 4x = 2 + 25

3x = 27

x = 27/3

x = 9

Learn more about linear equation

brainly.com/question/11897796

#SPJ13

Answer:

Yes

Step-by-step explanation:

We can say this because monomial is term used when an algebraic expression consisting of one term.

The partial products of 242 × 28 are 4,000, 1,600, 840 and 336 and the value of 242 × 28 exists 6,776.

To estimate the partial product of two numbers, first, we write both numbers as the sum of the place values of the digits. Multiply each place value of the first number by the place value of the second number.

Given: 242 × 28

(200 + 42) × (20 + 8)

(200 × 20) + (200 × 8) + (42 × 20) + (42 × 8)

simplifying the above equation, we get

200 × 20 = 4,000

200 × 8 = 1,600

42 × 20 = 840

42 × 8 = 336

The above values are the partial product.

4,000 + 1,600 + 840 + 336 = 6,776

Therefore, the partial products of 242 × 28 are 4,000, 1,600, 840 and 336 and the value of 242 × 28 exists 6,776.

To learn more about partial products refer to;

https://brainly.com/question/24716925

#SPJ9

The amount Bennet will have when he turns 18 will be equal to $3020.

Compound interest is the type of interest charged by banks or institutions on individuals in which the amount after 1 year becomes the principle for the next year. It can be calculated daily, monthly or yearly etc. The formula for compound interest compounded daily will be

A = P(1 + r/n) ^nt, where A is the amount, P is the principle, which is equal to $2000, r is rate of interest which is 3.2% or 0.032, n is compounding frequency which is equal to 365 and t is the time which is equal to 13 years. Now, the amount will be

A = 2000(1 + 0.032/365) ^365×13

A = 2000(1.51)

A = $3020 which is the required amount.

Learn more about Compound Interest at:

brainly.com/question/19338469

#SPJ1

Answer: 3696cm³

Step-by-step explanation:

The formula for a Cuboid's volume is LxWxH = V

so plug the numbers in

11cm x 16cm x 21cm = V

3696cm³ = V

According to the binomial theorem, the binomial (x + 3)⁷ is equal to the septimic polynomial x⁷ + 21 · x⁶ + 189 · x⁵ + 945 · x⁴ + 2835 · x³ + 5103 · x² + 5103 · x + 2187.

Binomial theorem offers a brief form to expand the power of a binomial, that is, an algebraic expression of the form (a + b)ⁿ, where n is a natural number. The complete formula is shown below:

(a + b)ⁿ = Σ {n! / [k! · (n - k)!]} · [tex]a^{n-k}[/tex] · [tex]b^{k}[/tex], for k ∈ {0, 1, 2, ..., n - 1, n}

If we know that a = x, b = 3 and 7, then the expanded form of the power of the binomial is:

(x + 3)⁷ = [7! / (0! · 7!)] · x⁷ · 3⁰ + [7! / (1! · 6!)] · x⁶ · 3 + [7! / (2! · 5!)] · x⁵ · 3² + [7! / (3! · 4!)] · x⁴ · 3³ + [7! / (4! · 3!)] · x³ · 3⁴ + [7! / (5! · 2!)] · x² · 3⁵ + [7! / (6! · 1!)] · x · 3⁶ + [7! / (7! · 0!)] · x⁰ · 3⁷

(x + 3)⁷ = x⁷ + 7 · x⁶ · 3 + 21 · x⁵ · 3² + 35 · x⁴ · 3³ + 35 · x³ · 3⁴ + 21 · x² · 3⁵ + 7 · x · 3⁶ + 3⁷

(x + 3)⁷ = x⁷ + 21 · x⁶ + 189 · x⁵ + 945 · x⁴ + 2835 · x³ + 5103 · x² + 5103 · x + 2187

To learn more on binomial theorem: https://brainly.com/question/26406618

#SPJ1

Answer:

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.Simplify by evaluating the coefficients and powers of 3.

The statement that does not describe the data set 6, 8, 8, 10, 10, 10, 10, 12, 12, 14 is:

(C) The range of the data set is 15.

Consider the data set,

6, 8, 8, 10, 10, 10, 10, 12, 12, 14

The mean of the data set will be:

mean = ( 6 + 8 + 8 + 10 + 10 + 10 + 10 + 12 + 12 + 14 )/ 10

mean = 100/10

mean = 10

The data set in ascending order are:

6, 8, 8, 10, 10, 10, 10, 12, 12, 14

As the number of terms is even. Therefore, the median will be the sum of two middle numbers divided by 2.

So,

Median = ( 10 + 10 )/2 = 20/2 = 10

The mode of a data set is the maximum number of times a number appears in the data set.

Therefore, the mode of the data set is 10.

The range of the data set is the difference between the highest and the lowest number in the data set.

Range = 14 - 6 = 12

The data set is a symmetric distribution if the mean, median, and mode all fall at the same point.

As the mean, median, and mode are 10, 10, and 10 respectively. Hence, the data set is symmetric.

Hence, statements (A), (B), and (D) are true.

Learn more about mean, median, and mode here:

brainly.com/question/14532771

#SPJ1

Tiana is more likely to win the competition as she took less time to type the same number of words, She will type more during the competition as her typing speed is more.

Since the upcoming match is next week, it is very important to practice before the actual match, hence, both participants were practicing to their best.

It is more likely that the person who does their best while practicing is more likely to perform better in the actual competition.

The competition will have the same amount of time to type, hence who will take less time to type more words will ultimately win the match.

Since Triana took less time while practicing the same amount of words, hence, it is more likely that she will type more during the competition.

to read more about typing speed, visit https://brainly.com/question/22850604

#SPJ4

Answer:

E. [tex] a = 5-2b [/tex]

Step-by-step explanation:

how to find the value of a, we need to subtract 2b from both side to single out the variable

a + 2b = 5

subtract 2b from both sides

a + 2b - 2b = 5 - 2b

a = 5 - 2b

Therefore, Option E is the correct answer

Answer: -1/3

Step-by-step explanation:

Pretty sure it's -1/3, one unit down from a point, and then 3 units right.

The answer is -1/3. Hope this helps.

Step-by-step explanation:

amt. means amount

explaination in my workings

hope this helps!!

The probability that at least one of them is not interested in investment banking is 13/14.

It is a branch of mathematics. The possibility of the outcome of any random event is termed as probability. The range of the probability must be between o to 1. Here o indicates impossibility of an event and 1 indicates certainty. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event.

Probability of the first person who is not interested in investment banking is 6/21

Probability of the second person who is not interested in investment banking and also first person was not interested then it is taken as 5/20.

probability that at least one is not interested in investment banking

=1- The probability that neither one of them is not interested in investment banking

=1-((6/21)×(5/20)

=13/14

Therefore, the probability that at least one of them is not interested in investment banking is 13/14.

To know more about probability, visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

False that is a conjunction

Step-by-step explanation:

hope this helps

Answer:

y = x

Step-by-step explanation:

an equation that an equation that forms an angle of 45 ° and passes through the origin of the axes is the bisector, and its equation is y = x.

the ratio of feet to yards is:

Now, the proportion to find the equivalent yards for 9 feet is:

Let's solve for x:

Therefore, 9 feet=3 yards.

Each bracelet price is $4 if Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The equation is in the word:

With the commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50.

Let x be the cost of each bracelet:

Total earning = 16.50 + 7.50

Total earning = 24

Each bracelet price x = 24/6 = $4

Thus, each bracelet price is $4 if Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets.

The question is incomplete.

The complete question is:

Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets. After paying the website a commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50. How much does each bracelet sell for on the website? Explain the steps you followed to get your answer.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

x=-6,8

Step-by-step explanation:

First, let's observe our equation, there is an absolute value (|x|) that means 'x' will have two answers most likely positive and negative.

First we will take off the lines.

now we have

2-2x=14

next minus 2 out of both side of the equation

2 - 2 -2x = 14- 2

-2x =12

now we will divide -2 from both side of the equation

[tex] \frac{ - 2x = 12}{ - 2} [/tex]

we will cancel out - 2

[tex]\frac{x = - 6}{1} [/tex]

x= -6

We aren't done yet since this is an absolute value we have to convert the sum of the equation ( 14) to negatives now which will be in this case (-14)

your new equation will look like this

2-2x= -14

next minus 2 out of both side of the equation

2 - 2 -2x = -14- 2

-2x = - 16

now we will divide -2 from both side of the equation

[tex] \frac{ - 2x = - 16}{ - 2} [/tex]

we will cancel out - 2

[tex] \frac{x = 8}{1} [/tex]

x = 8

x = -6

2 - 2x = 14

2 - 2(-6) = 14.

2 + 12 = 14✓.

x= 8

2 - 2x = -14

2 - 2 (8) = -14

2 - 16 = -14✓

hope this helped happy learning

The expressions with radicals which are variables and numbers raised to a fractional indices are simplified as follows.

13. √(9·x)  = 3·√x

14. √(4·y) = 2·√y

15. √(8·x²) = 2·x·√2

16. √(9·x²) = 3·x

17. √(3·x²) = x·√3

18. √(5·y²) = y·√5

19. √(13·x²) = x·√(13)

20. √(29·y²) = y·√(29)

21. √(64·y²) = 8·y

22. √(125·a²) = 5·a·√5

23. ∛(16) = 2·∛2

24. √(50·a²·b) = 5·a·√(2·b)

A radical expression is one that contains the radical (square root or nth root) sign, √.

13. √(9·x)

√(9·x) = √(3²·x) = 3·√x

14. √(4·y)

√(4·y) = √(2²·y) = 2·√y

15. √(8·x²)

√(8·x²) = √(4 × 2·x²) = √(2² × 2·x²)

√(2² × 2·x²) = √(2²·x² × 2) = 2·x·√2

16. √(9·x²)

√(9·x²) =  √(3²·x²) = 3·x

17. √(3·x²)

18. √(5·y²)

√5 × √(y²) = √5 × y = y·√5

19. √(13·x²)

√(13·x²) = √(13) × √x² = √(13) × x = x·√(13)

20. √(29·y²)

√(29·y²) = √(29) × √(y²) = √(29) × y = y·√(29)

21. √(64·y²)

√(64·y²) = √(8²·y²) = √(8²) × √(y²) = 8 × y = 8·y

22. √(125·a²)

√(125·a²) = √(25 × 5 × a²) = √(25) × √5 × √(a²) =  5 × √5 × a

5 × √5 × a  = 5·a·√5

23. ∛(16)

∛(16) = ∛(16) = ∛(8 × 2) =  ∛(2³ × 2) = 2·∛2

24. √(50·a²·b)

√(50·a²·b) = √(25 × 2 × a² × b) = √(5² × 2 × a² × b) = √(5² × a² × 2 × b)

√((5² × a²) × 2 × b) = 5·a·√(2·b)

Learn more about simplifying expressions with radicals here:

https://brainly.com/question/13114751

#SPJ1

The equation of the given line in the diagram above is expressed as: b. y = 2/3x.

For a line that passes through the origin (0, 0) of a graph, the equation that represents the line can be written in slope-intercept form as y = mx, where the slope of the line is represented as m.

The y-intercept of this type of line is zero, that is why we have the equation expressed as y = mx. Where the y-intercept is not equal to zero, the equation of the line would be expressed as y = mx + b, where b is the y-intercept and m is the slope of the line.

Find the slope of the line using two points on the line, (0, 0) and (3, 2):

Slope of the line (m) = (2 - 0)/(3 - 0)

Slope of the line (m) = 2/3.

To write the equation of the line, substitute m = 2/3 into y = mx:

y = 2/3x.

The equation is: B. y = 2/3x.

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

Answer: the X intercept mean this here

Ms.

Padilla is charged $0.04/min.

Ms. Padilla pays $16 for months she makes 0 min of calls

Step-by-step explanation: