Find the arc length of ABC .

Answer:

27720

Step-by-step explanation:

So let's assume that in any arrangement we are not able to distinguish the balls having the same colour, so only different orders of the colours involved are counted.

If we number these balls we have 12 different numbers, 3 of which belong to the white balls, 4 belong to the blue balls and the final 5 belong to the red balls. They could be arranged in 12! different ways. Pick any of these arrangements.

The white balls in this arrangement are now ordered because I gave these balls a number. But I specifically stated in the first alinea that we were not interested in all these possible orders of the white balls within a sequence of 12 balls. So we must correct for these orders, there are 3! of these, each one leading to exactly the same visual order of white balls. The other colours lead to a correction of 4! and 5!. Moreover, these corrections are independent of each other. I can change the position of the white balls without interrupting the order of the colours of the remaining balls. So we should divide by the product of 3!,4! and 5!.

Total number of arrangement = 3,628,800

Given that;

Number of red ball = 5

Number of white ball = 2

Number of blur ball = 3

Find:

Total number of arrangement

Computation:

Total number of balls = 5 + 2 + 3

Total number of balls = 10

Total number of arrangement = 10!

Total number of arrangement = 3,628,800

Find out more information about 'Total arrangement'

https://brainly.com/question/1179123?referrer=searchResults

Answer:

272 thats the umm..never mind heheh

Answer:

A; ?; Line 3

Step-by-step explanation:

Question 1:

-30 divided by -6 is 5.

The negatives cancel each other out.

And 30 divided by 6 is simply 5.

Question 2:

[tex]62\div(3+9)[/tex]

Do the operation inside the parenthesis first:

[tex]62\div12[/tex]

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

[tex]62\div12=5\text { R}2[/tex]

Or in fractions:

[tex]31/6[/tex]

(Was there a typo? From what you've given me, the correct answer is not listed.)

Question 3:

So we have to following steps:

[tex]\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+11(2)\\\text{Line 4: }21+22\\\text{Line 5: }43[/tex]

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:

[tex]\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+5+12\\\text{Line 4: }26+12\\\text{Line 5: }38[/tex]

Answer:

Here we have the case where:

"one chip is eaten in 1/4 mins."

(that means unit rate, the amount of a given variable that we need to do a unit of another variable)

Then the unit rate would be:

4 chips per minute.

Or, in a more mathematical way to write this:

4 chips/min.

Now we could write this in other units, for example.

We know that 1 min = 60s.

Then we have that (1/4) min = 60s/4 = 15s.

Then we have the unit rate:

1 chip every 15 seconds, or:

(1/15) chips/second.

Now, the variable in this case is time, t  = time, let's multiply bot our unit rates by the same amount of time, and see if we have the same outcome.

Let's use t = 2 min.

1) (4chips/min)*2min = 8 chips.

2) ((1/15) chips/second)*2min

First, 2 min = 120 seconds.

((1/15) chips/second)*2min = ((1/15) chips/second)*120seconds = 8 chips.

So both unit rates are equivalent.

Answer:

The first equation can be multiplied by 3 and the second equation by 2.

Step-by-step explanation:

We are given the following system of equations:

[tex]\boxed{\left \{ {{2x+3y=25} \atop {-3x+4y=22}} \right.}[/tex]

To eliminate a variable in the equation, they must cancel out. For instance, if x = 1, in order to cancel out the numbers, you must add -1.

To multiply an equation, you must apply the constant that you are multiplying by to all constants and coefficients of the equation. For example, to multiply 2x + 4y = 8 by 3, you must multiply 2x by 3, 4y by 3, and 8 by 3.

Therefore, using this information, you can attempt each answer set and test the possibilities.

Answer Choice A

If you multiply the first equation by -3, you will get -6x - 9y = -75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -6 + -6 gives you -12, so these do not cancel out.

Answer Choice B

If you multiply the first equation by -4, you will get -8x - 12y = -100. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -8 + -6 gives you -14, so these do not cancel out.

Answer Choice C

If you multiply the first equation by 3, you will get 6x + 9y = 75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding 6 + -6 gives you 0, so these do cancel out.

Answer Choice D

If you multiply the first equation by 4, you will get 8x + 12y = 100. If you multiply the second equation by -3, you will get 9x - 12y = -66. Adding 8 + -9 gives you -1, so these do not cancel out.

Answer:

Step-by-step explanation:

Let the original trail be x

From the question 150% of the trail is

12 mile

That's

150% of x = 12

So we have

[tex] \frac{150}{100} x = 12 \\ \\ \frac{3}{2} x = 12[/tex]

Multiply through by 2

That's

[tex]2 \times \frac{3}{2} x = 12 \times 2[/tex]

We have

3x = 24

Divide both sides by 3

We have the final answer as

x = 8

Therefore the length of the original trail is

Hope this helps you

Answer:

maybe : 1,2,5,6,9,10,13,14,17,

Step-by-step explanation:

I think it's in odd/even number pattern but it'll always skip a number???

or it's just in +1 then +3 pattern

The next terms of the pattern 1,2,5,6,9 are 10, 13,14,17,18,21.

Sequence is a collection of terms which are related in some way which is common to all the terms or some of the terms.

The pattern is given as 1,2,5,6,9 and we have to find the next terms of the pattern.

The First term is 1, the second term is 2. The difference between them is 1.

Second term is 2 and the third term is 5. The difference between them is 3.

Third term is 5 and the fourth term is 6. The difference between them is 1.

Fourth term is 6 and fifth term is 9. The difference between them is 3.

If we observe pattern in them them we can find that in first term they have added 1 , in second term 3 , in third term 1, in fourth term 3. It means first add 1 and then 3.

The next terms will be :

9+1=10

10+3=13

13+1=14

14+3=17

17+1=18

18+3=21.

Hence the next terms of the pattern 1,2,5,6,9 are 10,13,14,17,18,21.

Learn more about sequence at https://brainly.com/question/6561461

#SPJ2

Answer:

16.64

Step-by-step explanation:

Distance between any two points (x1,y1) and (x2,y2) is given by

Distance = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

Given point

X(-3, 8) and Y (6, -6).

The distance XY will be

[tex]XY = \sqrt{(-3-6)^{2} + (8 - (-6)^{2} }\\XY = \sqrt{(-9)^{2} + (8 +6)^{2} }\\XY = \sqrt{81 + 196 }\\XY = \sqrt{277 }\\XY = 16.64[/tex]

Thus, distance between X(-3, 8) and Y (6, -6) is 16.64  , rounded to nearest tenth.

Answer:

Not a function

Step-by-step explanation:

Answer:

0.027

Step-by-step explanation:

The p-value for Jane's chi-square test for goodness of fit is computed by using value of test statistic and degree of freedom.

Using Excel function CHISQ.DIST.RT(7.24,2) for computing p-value for chi-square goodness of fit test. 7.24 is the value of test statistic and 2 is degree of freedom. The resultant value is 0.026783. By rounding off to three decimal places the required p-value is 0.027.

Answer:

1246 2/3 feet

Step-by-step explanation:

17 miles/hour * 5280 feet/1 mile * 1 hour/60 minutes * 1 minute/ 60 seconds =

24.93 feet/second * 50 seconds = 1246 2/3 feet

Answer: about 25 feet

Step-by-step explanation:

( the exact number for the problem would be 24.933.... so round )

convert 17 miles into a # of feet

convert 1 hr into a # of secs

# of feet=89760

# of secs=3600

divide 89760/3600

you get 24.9333..........

Round to the nearest tenth and get 25

Answer:

4x + 3y

Step-by-step explanation:

Answer:

4x+3y

Step-by-step explanation:

Step-by-step explanation:

-2a4 - 3a2 + 7a + 6 - 6a3 + a4 + 7a2 - 6

Solving like terms

-a4 - 6a3 + 4a2 + 7a

Option A is the correct answer

Answer:

x=19

Step-by-step explanation:

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

2x+2*6=3x-3*4+5

2x+12=3x-12+5

12+12-5=3x-2x

19=x

Answer:

distribute 2 to (x+6) and 3 to (x-4)

Step-by-step explanation:

Answer:

Non-answer

Step-by-step explanation: Don't like my answer? Let me know!

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(a*x^2+b*x+c)=0  

STEP

1

:

Equation at the end of step 1

 y - ax2 - xb - c  = 0  

STEP

2

:

Solving a Single Variable Equation

2.1     Solve   y-ax2-xb-c  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

Answer:

Option E - sigma greater than or equal to $327

Step-by-step explanation:

In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.

Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.

Thus, we would use the symbol ≥ which means "greater than or equal to".

Thus, the claim as a mathematical statement would be;

sigma greater than or equal to $327

Answer:

22

Step-by-step explanation:

The volume of a cube is given as:

Cube volume = length × length × length

Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:

Cube volume = 3 inches × 3 inches × 3 inches = 27 in³

The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.

The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³

The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9

The number of pine trees = 22

Answer:

3.14159

Step-by-step explanation:

This number is pi. Pi goes on for millions of digits on end.

Answer:

The answer is pi. Pi goes on forever and irrational nunbers go on forever.

Answer:

0.1998

Step-by-step explanation:

This is a conditional probability question.

We solve this question using Bayes's Theorem of conditional probability.

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

Based on the information in the question, we have the following values.

Suppose it snows in Greenland once every 27 days.

Probability (it snows) = P(A) = 1/27

= 0.037037037

Approximately = 0.0370

Probability ( it doesn't snow) = P(A') = 1 - 0.0370 = 0.963

Probability ( that when it snow, glaciers grow) = P(B|A) = 26% = 0.26

Probability( that is doesn't snow , glaciers grow) = P(B|A)' = 4% = 0.04

Using the Bayes's Theorem of conditional probability

Probability that it is snowing in Greenland when glaciers are growing is =

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

= [0.26 × 0.0370] ÷ [(0.26 × 0.0370) + (0.04 × 0.963)]

= 0.00962 ÷( 0.00962 + 0.03852)

=0.00962 ÷ 0.04814

= 0.199833818

Approximately to 4 decimal places ≈ 0.1998

Therefore, probability that it is snowing in Greenland when glaciers are growing is 0.1998

Answer:

[tex]\huge\boxed{f(-9) = 184}[/tex]

Step-by-step explanation:

[tex]f(x) = 3x^2 +5x-14[/tex]

Put x = -9

[tex]f(-9) = 3(-9)^2+5(-9)-14\\f(-9) = 3(81) -45-14\\f(-9) = 243-45-14\\f(-9) = 198-14\\f(-9) = 184[/tex]

Steps to solve:

f(-9) = 3(-9)^2 + 5(-9) - 1

~Solve using PEMDAS

f(-9) = 3(81) - 45 - 1

f(-9) = 243 - 45 - 1

f(-9) = 198 - 1

f(-9) = 197

Best of Luck!

Answer: X=-12

Right ain’t it ?

Answer:

Here we have two points R and S.

How many lines pass through both R and S?

Well, we can have only one line that passes through both R and S.

Because we are working with lines, we can only see a plane X-Y here.

Then the points R and S can be written as:

R = (x1, y1) and S = (x2, y2)

Now, a line or a  linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, let's suppose that we have two different lines that pass through points R and S.

From above, both lines must have the same slope, because they pass through the same points.

y1 = a*x + b

y2 = a*x + c

So the only thing that our lines can have different is the y-intercept, but the y-intercept acts as a vertical shift.

This means, if we have different values in the y-intercept, we will have two parallel lines.

And two parallel lines can never pass through the same points, which means that we can not have different values for the y-intercept.

Then the two lines must be identical.

Then there is only one line that passes through points S and R at the same time,

Step-by-step explanation:

Hope it helps u mate

leave a like

mark as brainlist

Answer:

derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )

Step-by-step explanation:

given data:

vector function : r(t) = ta*(b+tc)

a = ( 2,-3.4) .   b = (-4,5,-1).  c = ( -2,-1,5)

to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution

Answer:

7.7 seconds

Step-by-step explanation:

t = √(h / 4.9)

t = √(290.57 / 4.9)

t = √59.3

t ≈ 7.7

Answer:

0.82

Step-by-step explanation:

The question says that three percent (3 out of 100) of the rackets (racquets) produced by the company are found to be defective.

First thing to calculate is the probability that 1 in a box of 6 rackets are defective.

That probability is gotten by cross multiplying, as illustrated below;

3 - 100

x - 6

x = (6×3)/100 = 18/100 = 0.18

Since the probability of having/finding 1 defective racket in a box of 6 is 0.18, the probability of finding more than 1 (minimum of 2 and maximum of all six) defective rackets in same box would be (1 - 0.18) = 0.82

Answer:

74

Step-by-step explanation:

60,000 + 14,000

ANS 14%

ANSWER: 74

The project's IRR is approximately 13.45%.

We have,

To calculate the project's internal rate of return (IRR), we need to find the discount rate at which the net present value (NPV) of the project's cash flows is equal to zero.

Given:

Initial cost (C0) = $60,000

Net cash inflow per year (CF) = $14,000

Number of years (n) = 9

Cost of capital (r) = 14% = 0.14

To calculate the IRR, set up the equation:

[tex]0 = C0 + (CF / (1 + r)^1) + (CF / (1 + r)^2) + ... + (CF / (1 + r)^n)[/tex]

[tex]0 = 60,000 + (14,000 / (1 + r)^1) + (14,000 / (1 + r)^2) + ... + (14,000 / (1 + r)^9)[/tex]

By using a financial calculator or software, the IRR for this project is found to be approximately 13.45% when rounded to two decimal places.

Therefore,

The project's IRR is approximately 13.45%.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

Answer:

Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehension, such as quadratic equations and interval notation.

Step-by-step explanation:

Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehensions, such as quadratic equations and interval notation. With one, you could pick up such skills just by living life. With the other, there is a higher chance that attending an educational institute would bestow such skills and understanding.

Answer:

???

Step-by-step explanation:

???