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Explanation:

Plug n = 6 and r = 5 into the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\[/tex]

Or you could use the shortcut

[tex]_n C _{n-1} = n\\\\[/tex]

Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.

A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 29) ← 2 ordered pairs from the table

m = [tex]\frac{29-4}{5-0}[/tex] = [tex]\frac{25}{5}[/tex] = 5 → C

Answer:

12

2

answer

hope it helps

Answer:

Part A is D and part B is 78

Step-by-step explanation:

for part b 80 x0.35 is 28

28+50 is 78

Answer:

I'm not sure what the question is actually asking but 26% of the profit is 366.60

Step-by-step explanation:

if u subtract the profit, u have 1043.40 remaining

Truck (2 or 3 axles): $3.00

Truck (4 or 5 axles): $6.25

Truck (6 or more axles): $10.00

Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge

What we need to find:

Part a: an expression that represents the first passing of the 4 trucks and

a solution to the the first expression

Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.

Part a:

3(6.25)+1(10.00)

3(6.25)+1(10.00)=$28.75

Part b:

2[3(6.25)+1(10.00)]

2[3(6.25)+1(10.00)]=2[28.75]=$57.50

Answer:

Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times

Answer:

14.69

Step-by-step explanation:

22.6% = 0.226

65 × 0.226 = 14.69

Answer:

[tex]y=-\frac{1}{3}x-4[/tex]

Step-by-step explanation:

To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.

Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:

[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]

Then, solve for b:

[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]

Finally, with both the slope and the y-intercept, you can write the equation of the line:

[tex]y=-\frac{1}{3}x-4[/tex]

Answer:

(-2, 5/3)

Step-by-step explanation:

Substitute x with -2 and solve

y = 2/3(-2) + 3

Multiply 2/3 and -2

y = -4/3 + 3

Add

-4/3 + 3 = 5/3

y = 5/3

Final answer:

(-2, 5/3)

Answer:

80 in2

Step-by-step explanation:

Here is my work shown in screeny

Answer:

3 hours

Step-by-step explanation:

If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.

Subtract 7:34 from 11:48:  we get 3:14 hours.  Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.  

So the 'number of hours worked' is 3 hours.

Note that 3:14 would be 3 hours 14 minutes.

Answer:

Growth

Step-by-step explanation:

since the (1.05) is bigger than 1 it is growth but if it was lower then  1 it would be decay .

The exponential function represents the growth and the percentage rate of increase is 5%

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given exponential function y = 920(1.05)ˣ

since the base value of the function is greater than 1 then the function shows growth.

for the rate of increase,

let x = 0 for the initial value

y = 920(1.05)ˣ = 920(1.05)⁰            (a⁰ = 1)

y₀ = 920

now x =1

y = 920(1.05)ˣ  = 920(1.05)¹

y₁ = 966

percent increase = 100(y₁ - y₀)/y₀

percent increase = 100(966 - 920)/920

percent increase = 100 x 0.05 = 5%

Hence the growth of function at the rate of 5%.

Learn more about exponential function;

https://brainly.com/question/14355665

#SPJ2

Answer:

Step-by-step explanation: 2x+15 = 75

                                             2x=60

                                              x=30 blue candies

                                              30 + 15 = 45 yellow candies in the bag

Answer:

B

Step-by-step explanation:

y = - x + 10 → (1)

y = 7x + 2 → (2)

Substitute y = 7x + 2 into (1)

7x + 2 = - x + 10 ( add x to both sides )

8x + 2 = 10 ( subtract 2 from both sides )

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 7(1) + 2 = 7 + 2 = 9

solution is (1, 9 ) → B

3(x+3-4+5-x-4-x-6)=10

-3x/-3= -28/3

x= -28/3

Answer:

2.41666666667

Step-by-step explanation:

2.41666666667 is the answer because of the additon. Just convert it.

2.41666666667 as a fraction equals 241666666667/100000000000.

Answer:

7/4 + 2/3 = 2 5/12

Step-by-step explanation:

What is 7/4 plus 2/3?

FractionCalculator

It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.

But it's no problem! We have displayed the answer below:

7/4 + 2/3 = 2 5/12

How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.

In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.

Answer:

D is the correct answer

Step-by-step explanation:

Answer:

h = 84

f = 132

g= 28

Step-by-step explanation:

h = 180 - 48 - 48 = 84

f = 180 - 48 = 132

g = 180 -132 - 20 = 28

Answer:

arc MP = 88°

Step-by-step explanation:

The measure of the inscribed angle MQP is half the measure of its intercepted arc MP , then

arc MP = 2 × ∠ MQP = 2 × 44° = 88°

Answer:

-8

Step-by-step explanation:

I don't really have an explenation

Answer:

y = -8x + 57

Step-by-step explanation:

hope this helps! :)

Answer:

A- 480

Step-by-step explanation:

First, I'm going to work out 25% of 1200 for the before 1980 pennies.

10% = 120

20% = 240

5% = 60

240 + 60 = 300 pennies before 1980.

Next, work out 35% of 1200 instead.

20% = 240

+ 10%

30% = 360

+ 5% = 60

35% = 420 pennies from 1980-2000

Finally, work out how many pennies are leftover.

300 + 420 = 720

1200 - 720 = 480

A is the answer.

Hope this helps and have a good day!

Answer:

W = - 6

Step-by-step explanation:

-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)

24w - 3 - w = 5w - 5 - 1 -> (Expanded version)

23w - 3 = 5w - 6 -> (Simplified version)

18w - 3 = - 6 -> (Subtract 5w from both sides)

18w = - 3 -> (Add 3 to both sides)

w = 18/-3 which is - 6 -> (Doing 18/-3)

Answer:

Step-by-step explanation:

Circumscribed means written around the outside. -scribe means writing and

think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.

So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).

Circle A is inscribed in triangle RST.

Answer:

Inscribed

Step-by-step explanation:

What is polygon inscribe?

Answer:

2,771

Step-by-step explanation:

24 x 114 = 2736 + the 35 they threw away = 2,771