A math professor wears for each class a combination of : one of their three hats (red, blue,green); one of their pants (black, blue, white, green); one of their shirts (white, red, black);and one of their pair of shoes (black, red, blue, white). They never wear combinations withthree items of the same color. How many different combinations are wearable?

Answers

Answer 1

Answer:

There are 36 ways in which he can wear combinations with three items of the different color.

Step-by-step explanation:

Hat              Pants           Shirts           Shoes

red             black             red              black

blue           blue               black           red

green        green             white            blue

                 white                                  white

If we look carefully we see that he can choose any hat, any pant and any shirt but he can choose only one pair of shoes that does not match with any of the three.

3C1*4C1*3C1*4C4= 3*4*3* 1= 36

There are 36 ways in which he can wear combinations with three items of the different color.


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Determina la magnitud del peso de una persona cuya masa es de 90kg

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Sì la cyuas 740 ro em di no

Solve (t - 3)² = 6. The arrow is at a height of 48 ft after approximately s and after s.

Answers

Answer:

t = 3.74165738677 or 3.74

Step-by-step explanation:

Step 1:

( t - 3 )² = 6      Equation

Step 2:

t² - 3² = 6       Open Parentheses

Step 3:

t² - 9 = 6          Exponents

Step 4:

t² = 14         Add 9 on both sides

Step 5:

t = [tex]\sqrt{14}[/tex]       Find the square root of 14

Answer:

t = 3.74165738677 or 3.74        Round

Hope This Helps :)

Answer:

The arrow is at a height of 48 ft after approximately 0.55s and after 5.45s.

Step-by-step explanation:

took the assignment

ALL SMART PEOPLE OR PEOPLE COME AND HELP ILL MARK BRAINLIEST AND ITS EXTRA PTS SO HURRY

Answers

Answer:

y=5/4x+-2, and y=-4/1x+3

Step-by-step explanation:

PLEASE HELP ME OUT ILL GIVE 15 POINTS PLUS BRAINLIST FOR CORRECT ANSWER ITS MULTIPLE CHOICE

Answers

Answer:

The first picture is a function. The second picture is not a function.

Step-by-step explanation:

The first one is a function because no x-values repeat. Different x-values can be paired with the same y-function.

The second one is not a function because it fails the horizontal line test. The line would touch in two spots, therefore failing the line test.

Hannah's restaurant bill had $20. She left a $3 tip. What percent of the bill did Hannah leave as a tip?

A.) 3%

B.) 12%

C.) 15%

D.) Not Here

Answers

The answer would be C. 15%

please hurry

Solve for t: 5t - 4 = 11

Answers

Answer:

t=3

Step-by-step explanation:

5t-4=|11

+4 |+4

5t= | 15

÷5 | ÷5

t = 3

What is the value of x?

Answers

Answer:

x = 8

Step-by-step explanation:

Step 1:

17x + 14 + 4x - 2 = 180          Sum of a line

Step 2:

21x + 12 = 180        Combine Like Terms

Step 3:

21x = 168       Subtract 12 on both sides

Step 4:

x = 168 ÷ 21      Divide

Answer:

x = 8

Hope This Helps :)

Step-by-step explanation:

4x - 2 + 17x + 14 = 180

21x + 12 = 180

Subtract 12 from both sides and you get :

21x = 168

Devide

[tex] \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]

What is the range of the following set of
points (3.4), (7-2). (11-8))?

Answers

Answer:

The range of the following set of points is {4, -2, -8}

Step-by-step explanation:

The domain of a set of ordered pairs is the values of x-coordinates of all ordered pairsThe range of a set of ordered pairs is the values of y-coordinates of all ordered pairsEx: In the set of points {(1, 3), (-4, 5), (2, -5)} the domain is {1, -4, 2} and the range is {3, 5, -5}

∵ The set of points is {(3, 4), (7, -2), (11, -8)}

∵ The range is the y-coordinates of these points

∵ The y-coordinates of the points are 4, -2, -8

∴ The range is {4, -2, -8}

The range of the following set of points is {4, -2, -8}

Solve the Systems of equations. HELP PLEASE

Answers

Answer:

Im pretty sure every hat and mask is 1 dollar

Yes ik im dumb but plz answer!!!!

Answers

Answer:

C. 125%

Step-by-step explanation:

Because an entire box of 100 is colored, we automatically know it is at least 100%. Which means both A and B are incorrect. There are two tens filled, so we have 120%. There is another 5 boxes are filled, so we have 125%, which is C.

I hope that this helps! :)



The circumference of a circle is the distance around the circle, while

the area of a circle is the amount of space contained inside the

circle. When solving problems involving circles, it is important to

think about what you are trying to determine.

1. A city park has a large circular garden with a path around it.

The diameter of the garden is 60 feet.

a. Gina likes to walk along the circular path during her lunch

breaks. How far does Gina walk if she completes one

rotation around the path?

Answers

Answer:

Approximately 189 feet

Step-by-step explanation:

A complete one rotation around the path is the circumference of the garden.

Given that the diameter of the garden = 60 feet.

The circumference of a circle = 2[tex]\pi[/tex]r

where r is the radius.

So that:

r = [tex]\frac{diameter}{2}[/tex]

 = [tex]\frac{60}{2}[/tex] = 30 feet

The distance covered by Gina in one rotation around the path =  2[tex]\pi[/tex]r

                                           = 2 x [tex]\frac{22}{7}[/tex] x 30

                                           = [tex]\frac{1320}{7}[/tex]

                                           = 188.57

                                           ≅ 189 feet

Therefore, Gina covered a distance of approximately 189 feet around the path.

Leyla earned $320 for doing chores around the house for
16 weeks. On average, how much did she earn per week?

Answers

Answer:2.00

Step-by-step explanation:

Answer:20

Step-by-step explanation:

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

If the profit is the difference between the revenue and the cost, what expression represents the profit?

3x – 260
3x + 140
5x – 260
5x + 140

Answers

Answer: 5x — 260

Step-by-step explanation:

juss fye like that lol

Answer:

option C :5x – 260

Step-by-step explanation:

hope this helps

A pair of shoes are on sale for 30 percent off the original price of 49.95 how many is the discount in dollars

Answers

Answer:

14.98

Step-by-step explanation:

I used a calculater

Lebron James is 6 feet 9 inches tall. There are 2.54 centimeters in 1 inch. What is Lebron's height in
centimeters?

Answers

Probably 205.74


12 inches in 1 foot

so 6•12= 72inches

72•2.54=182.88

9•2.54=22.86

182.88+22.86=205.74

Answer:

205.74 cm

Step-by-step explanation:

An arts academy requires there to be 4 teachers for every 88 students and 5 tutors for every 45 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 108 students​?

Answers

Answer:

18 students for each teacher and 10 for each tutor, and if the academy had 80 students it would have 8 tutors

Step-by-step explanation:

7x+3(8x+7)? simplify or expand the expression​

Answers

Answer:

31x+21

Step-by-step explanation:

7x+3(8x+7)

7x+24x+21

31x+21

Answer 31x + 21

Step-by-step explanation: can’t

A simple random sample of 11 observations is derived from a normally distributed population with a known standard deviation of 2.2 Compute the margin of error with 95% confidence Compute the margin of error with 90% confidence.

Answers

Answer: 7.1% and 6%.

Step-by-step explanation:

Given data:

Sample size (n) = 11

Standard deviation = 2.2

Margin of error confidence level 95% = 1.96

Margin of error confidence level of 90% = 1.65

Solution:

P = 2.2/11

= 0.2.

ME = z √p (1-p)/n

at 95% interval

ME = 1.96 * √ 0.2 ( 1 – 0.2 ) / 11

= 1.96 * 0.03636

= 0.071.

= 7.1%

At 90% interval

ME = 1.65 * √ 0.2 ( 1 – 0.2 ) / 11

= 1.65 * 0.03636

= 0.06.

= 6%

(01.02)
Given that f(x) = -x + 4 and g(x) = -2x - 3, solve for f(g(x)) when x = 2.(1 point)

Answers

So -2(2)-3=-7 then -(-7)+4=11 so 11 is the final

Write a 4 digit number that is divisible by both 5 and 9. ( PLEASE EXPLAIN )

Answers

Answer:

4,500

Step-by-step explanation:

A number that ends with 0 and 5 is divisible by 5,and number that is a multiple of 9 can be divided by 9. 45 is divisible by 5 and 9, so 4500 is an easy 4 digit number to come up with.

Madelyn has a mask collection. She keeps 399 of the masks on her wall, which is 95% of her entire collection. What is the total number of masks in Madelyn's collection?

Answers

Answer:

418

Step-by-step explanation:

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Answers

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x^2-6x+3=0 and 3x^2 = 54 ..... both quadratic formula please help

Answers

Answer:

[tex]x_{1}[/tex]=3-[tex]\sqrt{6}[/tex] , [tex]x_{2}=3+\sqrt{6}[/tex]

Step-by-step explanation:

Write an equation in the form of y=kx for the graph below. (k=y/x) K is in decimal
Form

Answers

Answer:

k = 3.5

Step-by-step explanation:

From the graph in the picture attached,

Relation between balloons height (y) is directly proportional to the time (x)

y ∝ x

y = kx

Where 'k' is a proportionality constant.

Now we substitute the point (8, 28) in the equation,

28 = k(8)

k = [tex]\frac{28}{8}[/tex]

k = 3.5

k ≈ 3.5

Therefore, value of constant 'k' is 3.5

Tyler runs 4 laps around the track.Jorge runs 8 times as many laps as Tyler. How many laps does Jorge run? Which equation can help you answer the question? 8x4 = or 8Divided by 4

Answers

Answer:

Jorge ran 32 laps

Step-by-step explanation:

The equation is 8x4=32

the marching band walks 1/15 mi in 1.5 min. at this rate, how many minutes will it take to complete 1 mile? Record your answer on the grid. Then fill in the bubbles

Answers

Answer:It will take 22.5 minutes to complete 1 mile hope this helped!

4. (10 points)A lighthouse is located on a small island 4 mi away from the nearest point P on a straight shoreline and its light makes ten revolutions per minute. How fast (in mi/min) is the beam of light moving along the shoreline when it is 4 mi from P

Answers

Answer:

The beam of the light is moving along the shoreline at the rate of [tex]\mathbf{ 160 \ \pi \ mi/min}[/tex]

Step-by-step explanation:

From the given information: Let say x is the distance between the lighthouse and the shoreline. Then, the  tangent of  trigonometry can be written as:

[tex]tan (\theta )=\dfrac{x}{4}[/tex]

In respect to time, the expression can be derived as:

[tex]sec^2 (\theta) \dfrac{d \theta}{dt} = \dfrac{1 }{4}\dfrac{dx}{dt}[/tex]

[tex]\dfrac{dx}{dt}=\dfrac{4}{cos ^2 (\theta) }\dfrac{d \theta}{dt}[/tex]

To estimate the value of [tex]\dfrac{dx}{dt}[/tex], we need to know cos²(θ) and D

where;

D = [tex]\sqrt{4^2+4^2}= \sqrt{32}\ mi[/tex]

[tex]cos (\theta) = \dfrac{4}{D}[/tex]

[tex]cos (\theta) = \dfrac{4}{\sqrt{32}}[/tex]

[tex]cos (\theta) = \dfrac{4}{\sqrt{16 \times 2}}[/tex]

[tex]cos (\theta) = \dfrac{4}{4 \sqrt{\ 2}}[/tex]

[tex]cos (\theta) = \dfrac{1}{ \sqrt{\ 2}}[/tex]

[tex]cos ^2 (\theta)= \dfrac{1}{2}[/tex]

Finally, we substitute the value of [tex]cos^2(\theta)[/tex] and [tex]\dfrac{d \theta}{dt}[/tex] in the expression derived earlier.

i.e.

[tex]\dfrac{dx}{dt} = \dfrac{4}{\dfrac{1}{2}}\times 10 \ rev/min[/tex]

where;

10 rev/min = (10 × 2π) rad/min = 20π rad/min

Then:

[tex]\dfrac{dx}{dt} = \dfrac{4}{\dfrac{1}{2}}\times 20 \ \pi[/tex]

[tex]\mathbf{\dfrac{dx}{dt} = 160 \ \pi \ mi/min}[/tex]

Find the volume of the solid lying under the plane z 2x 5y 1 and above the rectangle x, y 1 x 0 1, .

Answers

Answer:

The volume  [tex]V = \frac{75}{2}[/tex] units

Step-by-step explanation:

From the question we are told that

 The equation of the plane is  [tex]z = 2x + 5y + 1[/tex]

The range of the rectangle on the x and y axis is  [tex]\{ (x, y) | -1 \le x \le 0 , 1 \le y \le 4 \}[/tex]

Generally the volume is mathematically represented as

        [tex]V = \int\limits^{4}_{1} \int\limits^0_{-1} {z} \, da[/tex]

Here stands for the area of the solid

So    

           [tex]V = \int\limits^{4}_{1} \int\limits^0_{-1} {(2x + 5y + 1 )} \, dxdy[/tex]

           [tex]V = \int\limits^{4}_{1} [{(\frac{2x^2}{2} + 5xy + x )} ] | \left \ 0} \atop {-1}} \right. \, dy[/tex]

            [tex]V = \int\limits^{4}_{1} [{(x^2 + 5xy + x )} ] | \left \ 0} \atop {-1}} \right. \, dy[/tex]

          [tex]V = \int\limits^{4}_{1} [{((0)^2 + 5(0)y + (0) )} ] -[{((-1)^2 + 5(-1)y + (-1) )} ] \, dy[/tex]

        [tex]V = \int\limits^{4}_{1} 5y \, dy[/tex]

        [tex]V = 5 [ \frac{y^2}{2} ]|\left \ 4 } \atop { 1 }} \right. \, dy[/tex]

       [tex]V = 5( [ \frac{4^2}{2} ] - [ \frac{1^2}{2} ] )[/tex]

        [tex]V = \frac{75}{2}[/tex]

PLZ HELP FAST!!!!! I NEED THIS ANSWER PLEASE HELPPP

Answers

Answer:

L=7

W=10

Step-by-step explanation:

W=2L-4

WL=70

(2L-4)L=70

2L^2-4L-70=0

2(L^2-2L-35)=0

2(L-7)(L+5)=0

L-7=0

so:

L=7 IS THE LENGTH OF THE RECTANGLE.

W=2*7-4

W=14-4

W=10 IS THE WIDTH OF THE RECTANGLE.

PROOF:

7*10=70

70=70

what are the partial products for 24x69

Answers

I think Ur answer is 1656
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