Mr. Matthews is conducting job interviews. He has 5 candidates for a teaching job and must choose 3 of them to go on to the second round of interviews. How many possible combinations of individuals exist?
A) 5
B) 8
C) 10
D) 12

Answers

Answer 1

Answer: 10

Step-by-step explanation:


Related Questions


The dot plot shows the number of hours students in the
band practiced their instruments.
Which describe the dot plot? Select all that apply.
There is a cluster from 3 to 4.
There is a gap between 1 and 3.
There is a peak at 4.
The data shows symmetry.
The data is skewed left.
The data is skewed right.

Answers

Answer:

There is a cluster from 3 to 4.

There is a gap between 1 and 3.

There is a peak at 4.

The data is skewed left.

Step-by-step explanation:

Edg

The correct statements are as follows:-

There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.

What is a scatter plot?

Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.

The right statements for the dot plots are as follows:-

There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.

More about the scatter plot link is given below.

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Jordana was shown this diagram of an isosceles trapezoid and its reduction. She was asked to find the perimeter of the reduced trapezoid. Her work is shown below.

A trapezoid with side lengths 30 centimeters, 12 centimeters, and 36 centimeters. A trapezoid with side lengths A, 4 centimeters, B.
Figures not drawn to scale.

Jordana’s Work
Scale factor
StartFraction 4 over 12 EndFraction = one-third
Side A
30 times one-third = 10
Side B
30 times one-third = 10
Perimeter
10 + 10 + 4 + 4 = 28

Where, if any, did Jordana first make a mistake in her work?
Jordana made a mistake when finding the scale factor.
Jordana made a mistake when she calculated the length of side A.
Jordana made a mistake when she calculated the length of side B.
Jordana did not make any mistakes in her work.

Answers

Answer:

C: Jordana made a mistake when she calculated the length of side B.

Step-by-step explanation:

Jordana made a mistake while calculating the length of side B.

What is a scale factor?

A scale factor is a factor by which dimensions of an object are enlarged or diminished.

One parallel length i.e. side A of original isosceles trapezoid = 12cm

One parallel length  i.e. side A of reduced isosceles trapezoid =4cm

So, scale factor = 4/12 =1/3

Other parallel length i.e. side B of original isosceles trapezoid =

So, the other parallel length i.e. side B of reduced isosceles trapezoid = 36*1/3 = 12cm

The side lengths of the reduced isosceles trapezoid = 30*1/3 = 10cm

So, the perimeter of the reduced isosceles trapezoid =4+12+10+10 =36cm

While Jordana calculated the length of side B as 4.

Thus, Jordana made a mistake while calculating the length of side B.

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send help , 20 points !!
what is 1 and 2/9 minus 3 and 1/3

Answers

Answer:

-1 and 8/9

Step-by-step explanation:

Answer:

The answer would be -19/9

Find f(2) it f(x)=(x+1)^2

Answers

Steps to solve:

f(x) = (x + 1)^2; x = 2

~Substitute

f(2) = (2 + 1)^2

~Add.

f(2) = (3)^2

~Multiply the exponent

f(2) = 9

Best of Luck!

A new car is purchased for $ 41 , 000 $41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?

Answers

Answer:

$800

Step-by-step explanation:

A = P [tex](0.5)^{t}[/tex]

Because it's every 3 years, you need to find how many 3 years in the 17-year-period of time.

17/3 = 5.666...

P is initial amount:

A = $41, 000 [tex](0.5)^{5.666...}[/tex]

A = 41, 000 (0.01968...)

A = 807.13692...

A ≈ $800

Rounded to the nearest hundred dollars.

Answer:$800

Step-by-step explanation: trust

i need help please ​

Answers

Answer:

9/10

Step-by-step explanation:

1/2+2/5= 5/10+4/10= 9/10

Answer:

9/10

Step-by-step explanation:

You first need to find the Least Common Denominator, which is ten. Next, multiply the numerator by what you multiplied the denominator to get 10. You should have 5/10+4/10. Combine like terms to get 9/10

TL:DR

5/10+4/10

9/10

Don collects trading cards. His favorites are baseball and football
cards. For every 8 baseball cards he owns, Don has 15 football cards.
What is the ratio of baseball cards to football cards in his collection?
1 of 5 QUESTIONS
8 and 15
8 to 15
15:8
SUBMIT

Answers

Final Answer:

The ratio of baseball cards to football cards in Don's collection is 8 to 15.

Explanation:

Given that for every 8 baseball cards, Don has 15 football cards, the ratio between baseball and football cards can be expressed as 8 to 15. This ratio signifies the comparative quantity of baseball cards to football cards in Don's collection.

Understanding ratios is essential to represent the relationship between different quantities or values. In this scenario, the ratio 8 to 15 indicates that for every 8 baseball cards, Don owns 15 football cards.

The ratio 8 to 15 is simplified, representing the proportional relationship between the number of baseball cards and football cards in a manner that showcases the relative quantity of each type of card Don possesses.

Ratios help in understanding and comparing quantities, providing a concise way to express relationships between different values or items, as demonstrated in the comparison between the number of baseball and football cards in Don's collection.

An airplane flies from point A to point B. Point A is 40 kilometers from a ground signal at point C. Point
B is 56 kilometers from the same ground signal. If AB = 80 kilometers, find the measure of ACB to
the nearest degree.

Answers

Answer:

  112°

Step-by-step explanation:

The law of cosines can be used to find angle C from the three side lengths. The usual formulation of that law is ...

  c^2 = a^2 + b^2 -2ab·cos(C)

Then the angle C can be found to be ...

  C = arccos((a^2 +b^2 -c^2)/(2ab))

For the given side lengths,

  C = arccos((40^2 +56^2 -80^2)/(2·40·56)) = arccos(-1664/4480)

  C ≈ 112°

Which expression is equivalent to 5(4f+3)-2f

Answers

Answer:

f = 5/6

Step-by-step explanation:

5(4f + 3) - 2f

= 20f + 15 - 2f

= 18f + 15

18f = 15

f = 15/18

f = 5/6

To find out which expression is equivalent , you just have to expand the above expression
So your answer would be 20f+15-2f
And, you could further simplify it 18f+15

Which of the following are polynomial functions?
Check all that apply.

Answers

Answer:

Step-by-step explanation:

consider the formula F=NM/P, where F represents the fertility of the soil. N represents the amount of nutrients in the soil. M represents the amount of moisture in the soil. And P represents the amout of pollutants in the soil. select an apropriate measurment unit for fertility of soil​

Answers

The options are missing, so i have attached it.

Answer:

Measurement unit for F = (Nutrients • Moisture)/Pollutants.

Option C is correct

Step-by-step explanation:

From the question, we are given the formula; F = NM/P

where;

N is the amount of nutrients in the soil

M is the amount of moisture in the soil.

P is the amount of pollutants in the soil

From the definition of the terms above, the units of the can be expressed as;

N = nutrients

M = moisture

P = pollutants

Thus, the measurement unit for fertility is;

F = NM/P = (Nutrients • Moisture)/Pollutants

Find the area of a circle with a diameter of 16.
*First time asking a question. I would appreciate any help.*

Answers

the area of the circle should be 201.06

Solve the equation. 4k2= 5k

Answers

Answer:

0,5/4

Step-by-step explanation:

4k·2= 5k

4·2k= 5k

8k=5k

Please mark me brainliest if the helped (I need it)

What is the name of the figure?

triangular prism
triangular pyramid
rectangular prism
rectangular pyramid

Answers

Answer:

Triangular Prism.

The name of the figuare is triangular prism, the correct option is A.

What is the trianular prism?

In geometry, a triangular prism is a type of prism with three sides and two bases.

The sides are of rectangle shape and bases are of triangle shape.

A triangular prism is a popular polyhedron. It is having two triangular bases and three rectangular sides.

According to the nature of prism, the two triangular bases are parallel and congruent to each other. It is a pentahedron with nine distinct nets.

The edges and vertices of the bases are connected with each other.

The rectangular sides of this prism are rectangular in shape and are joint with each other side by side.

All the cross-sections parallel to the base faces are triangle.

The given image has the shape of trigular prism.

Hence, the name of the figuare is triangular prism, the correct option is A.

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HVAC technician average salary = $28/hour with a one-year Tech school certification costing an average of $7,500. What would your first pay be for your first year a work? Assume you work a 40 hour week for 50 weeks.

Answers

Answer:

The answer will be

$56,000

Step-by-step explanation:

40 times 28 times 50

there is $412 and 3 purses how much is in each purse????​

Answers

Answer:

$412/3 purses = $137.33/purse

5, –20, 80,

The geometric sequence?

Answers

Step-by-step explanation:

This sequence is that you should multiply the number by 4 and one number should be positive the other should be negative so

5 -20 80 -320 1280

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

A. X-2
B. X-1
C. X+1
D. X+2

Answers

Answer:

Step-by-step explanation:

Answer C (x + 1) is correct; if we let x + 1 equal 0, we get the root (x-intercept) -1, which appears on this graph

X + 1 must be a factor of the polynomial graphed

How to find the factor

The factor is solved using the points where the graph intersects the x-axis.

This points are called the roots

Examining the graph the roots are x = -1 and x = 4

Hence x + 1 must be a factor

What is the decimal multiplayer to increase by 4.1%

Answers

Answer:

1.041

Step-by-step explanation:

In order to increase by 4.1%, you must multiply whatever number you have by the decimal: 1.041.

Say the number we want to increase by 4.1% is x. Then:

x + (4.1%) * x = x(1 + 4.1%) = x(1 + 0.041) = 1.041x

So, you would multiply by 1.041.

Hope this helps!

Answer:

1.041

Step-by-step explanation:

Increase of 4.1% is basically

100 + 4.1 = 104.1% of the previous value

In decimals,

1.041

Subtract.

4x^3−6x^2+8x−9 from 7x^3−16x+18


NEEDED ASAP (25pts)

Answers

Your answer is
-3x^3-6x^2+24x-27
If I’m not mistaken. Hope this helps :)

A certain drug dosage calls for 21 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 181 pounds, how much of the drug should they get each dosage?

Answers

Final answer:

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.

Explanation:

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.

Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.

Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.

Final answer:

To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.

Explanation:

To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.

Please please please please help!

Answers

Wait bro you already got it

I think you already got it

Find the volume of the figure.

Answers

Answer:

233 in^3

Step-by-step explanation:

First we will find the volume of the square at the bottom

V = s^3  where s is the side length

V = 5^3

V = 125 in^3

Then we will find the volume of the rectangular prism at the top

V = l*w*h

V = 12*3*3

V =108 in^3

The total volume is the sum of the two volumes

V = 125+108

    = 233 in^3

Answer:

233 in³

Step-by-step explanation:

Cube + cuboid

(5×5×5) + (3×3×12)

233 in³

The plot shows the temperatures (in ºF) for a group of children who visited a doctor’s office.

A plot shows the temperature of children at a doctor's office. 1 child had a temperature of 96 degrees; 2, 97 degrees; 5, 98 degrees; 2, 99 degrees; 1, 100 degrees.

What conclusions can be drawn from the data set? Check all that apply.
The measures of center are the same.
The interquartile range is 4.
There is little variability in the data.
The average temperature is 98.
The data is clustered around the mean.

Answers

Answer:

1.The measures of center are the same.

3.There is little variability in the data.

4.The average temperature is 98.

5.The data is clustered around the mean.

Step-by-step explanation:

Answer:1,3,4,5

Step-by-step explanation:i did the quiz

What is the surface area of a rectangular prism with A length of 4 cm, width of 5 cm and a height of 10 cm?

Answers

Answer:

220

Step-by-step explanation:

plug it into surface area formula for rectangular prisms

A=2(wl+hl+hw)

Surface area would be 220cm^2

y = 3x – 5, what would the output be for an input of 4?

Answers

Answer: y = 7

Step-by-step explanation:

y = 3(4) - 5

y = 12 - 5

y = 7

Answer:

y=12

Step-by-step explanation:

Substitute the given value into the function and evaluate.

(Plug in your input to get your output, in this case, x=4)

y=3(4)-5

y=12-5

y=12

The answer is y=12.

The value of x is_degrees

Answers

Answer:

x=19

Step-by-step explanation:

The total angle in a straight line is 180 degrees.

To work this out you would first add 7 and 4 to -2, this gives you 9. Then you would minus 9 from 180, which gives you 171. This is because you are removing the extra numbers and so all you are left with is the x's. Then you would add 5x and x and 3x, which gives you 9x. Then you would divide 171 by 9, which gives you 19.

1) Add 7 and 4 and -2.

[tex]7+4+(-2)=9[/tex]

2) Minus 9 from 180.

[tex]180-9=171[/tex]

3) Add 5x and x and 3x.

[tex]5x+x+3x=9x[/tex]

4) Divide 171 by 9.

[tex]171/9=19[/tex]

5) [tex]x=19[/tex]

The sum of all the angles is 180 degrees because this is a supplementary angle.

5x + 4 + x - 2 + 3x + 7 = 180

Now you can combine like terms:

(5x + x + 3x) + (4 - 2 + 7) = 180

9x + 9 = 180

Now you must isolate x:

9x + 9 - 9 = 180 - 9

9x + 0 = 171

9x = 171

9x/9 = 171/9

x = 19

Check:

5(19) + 4 + 19 - 2 + 3(19) + 7

95 + 4 + 19 - 2 + 57 + 7

180

Hope this helped! Let me know if you have any further questions

~Just a girl in love with Shawn Mendes


Consider the sequence 60, 53, 46, 39, 32, 25, ...
The common difference of this sequence is
Select one
formula for the sequence is

The tenth term for this sequence is
Select one

Answers

Answer:

The common difference of the sequence is -7

Step-by-step explanation:

Because each time the the numbers are going down by minus 7

The common difference of this sequence is, - 7

And, One formula for the sequence is,

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (10) = - 3

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 60, 53, 46, 39, 32, 25, ...

Now, The common difference of this sequence is,

⇒ 53 - 60

⇒ - 7

And, One formula for the sequence is,

⇒ a (n) = a + (n - 1) d

⇒ a (n) = 60 + (n - 1) (- 7)

⇒ a (n) = 60 - 7n + 7

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (n) = 67 - 7n

⇒ a (10) = 67 - 7 x 10

⇒ a (10) = 67 - 70

⇒ a (10) = - 3

Thus, The common difference of this sequence is, - 7

And, One formula for the sequence is,

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (10) = - 3

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can someone please help with this question.

Answers

Answer: d) (-1, 0); 2

Step-by-step explanation:

The equation of a circle is: (x - h)² + (y - k)² = r²

(h, k) is the centerr is the radius

(x +1)² + y² = 4 can be rewritten as:  (x - (-1))² + (y - 0)² = 2²

→ (h, k) = (-1, 0)

→ r = 2

If CDE ~ GDF, find ED

Answers

Answer:

10

Step-by-step explanation:

[tex]\triangle CDE \sim \triangle GDF.. (given) \\\\

\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\

\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}[/tex]

If triangle CDE ~ GDF , then length of ED is 10 unit.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion

In Triangles CDE and GDF,  sides CD and DG , sides ED and DF are corresponding sides.

So, these corresponding sides will be in proportion.

               [tex]\frac{CD}{DG}=\frac{ED}{DF}\\\\\frac{15}{x+3}=\frac{3x+1}{4}\\\\(3x+1)*(x+3)=60\\\\3x^{2} +10x-57=0\\\\3x^{2} +19x-9x-57=0\\\\x(3x+19) -3(3x+19)=0\\\\(x-3)(3x+19)=0\\\\x=3,x=-19/3[/tex]

Since, side can not be negative. Therefore, x= 3

         [tex]ED=3x+1=3(3)+1=10 unit.\\[/tex]

Thus,  length of ED is 10 unit.

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