HELP ME SOMEONE PLSSS WHAT IS THE ANSWER

Proof by induction

Base case:

n=1: 1*2*3=6 is obviously divisible by six.

Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.

For n+1:

(n+1)(n+2)(n+3)=

(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.

The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.

Answer:

64 Divided by 8

Step-by-step explanation:

Answer:

4-5<-2 is false it should be 4-5>-2

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Subtract 50 from 125

75

Divide by 15 (number of dollars per day)

5

If Maisie walks her neighbors dogs for 5 days, she will save up to a total of 125

Hope this helps :)

Answer:

✔ 50 + 15d = 125

What equivalent equation can you write after combining like terms?

✔ 15d = 75

How many days will Maisie have to walk the dogs?

✔ 5 days

Step-by-step explanation:

took. test.

Answer:

The pump should be added by 8PM

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 4 hours.

An auxiliary pump can empty the tanker in 11 hours.

the main pump is started at 7 PM,and we have 10 PM - 7PM = 3 hours to empty the tank.

So we have to look for the combined rate of the both pumps .

Let's say the volume= x

Rate of first pump= x/4

Rate of second pump= x/11

The rate will be added together

Combined rate= x/11 + x/4

Combined rate= 15x/44

But they have three hours to complete their pump

15x/44 = 3

X=1.0227

The pump should be added by 8PM

Answer:x=8

Step-by-step explanation:Reorder the terms:

10x + -2(6 + x) = 52

10x + (6 * -2 + x * -2) = 52

10x + (-12 + -2x) = 52

Reorder the terms:

-12 + 10x + -2x = 52

Combine like terms: 10x + -2x = 8x

-12 + 8x = 52

Solving

-12 + 8x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 8x = 52 + 12

Combine like terms: -12 + 12 = 0

0 + 8x = 52 + 12

8x = 52 + 12

Combine like terms: 52 + 12 = 64

8x = 64

Divide each side by '8'.

x = 8

Simplifying

x = 8

Answer:

x=5

Step-by-step explanation:

Answer:

The answer could be any number above -7.

So, it could be...

(-8)

(-9)

(-10)

etc.

Step-by-step explanation:

The bigger the negative number, the lower the value.

Answer:

9.9924 liters

Step-by-step explanation:

there are 3.785 liters in one gallon

multiply 3.785 liters times 2.64

that comes out to 9.9924 liters

Hey there! I'm happy to help!

Let's use the variables A and B to represent the number of pounds used of types A and B.

4.10A+5.30B=640.50

A+B=141

Let's rearrange the bottom equation to solve for B.

A+B=141

Subtract A from both sides.

B=141-A

We can put this value of B into the first equation to solve for the number of pounds of type A Omar used.

4.10A+5.30(141-A)=640.5

We use distributive property to undo parentheses.

4.10A+747.3-5.3A=640.5

We combine like terms.

-1.2A+747.3=640.5

Subtract 747.3 from both sides.

-1.2A=-106.8

Divide both sides by -1.2

A=89

Omar used 89 pounds of type A coffee in this month's blend.

Have a wonderful day! :D

Answer:

?

Step-by-step explanation:

Answer:

3.048 meters

Hope this helps

Answer:

180000

Step-by-step explanation:

Answer:

The answer is 18.

Step-by-step explanation:

You just need to plug in -7 to the equation 2x-4. You get -18, but absolute value is always positive, so its 18.

The answer is 18.

Sorry no explanation im soooo sorry

Answer:

3 hours

Step-by-step explanation:

369 divided by (58+65)

Answer:

Step-by-step explanation:

Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. Which graph represents the proportion of pieces of pie that have more than 375 calories.

Answer: The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and for a negative z score means the  raw score is below the mean. The z score is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given that: μ = 350 calories, σ = 20 calories, x > 375

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{375-350}{20}=1.25[/tex]

From the graph, The shaded area represents the proportion of pieces of pie that have more than 375 calories

From the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25)

= 1 - 0.8944 = 0.1056 = 10.56%

Answer:

585 Feet

Step-by-step explanation:

First, you have to consider how much seconds in a minute. 60.

Then, multiply 75 feet to make it match to 60 seconds. So 60/25. You get 2.4. You multiply 2.4 by 75 to get 180 feet per minute.

Finally, you multiply 180 by 3.25, as it is 3.25 minutes.

Answer:

The standard equation of the sphere is [tex](x-5)^{2} + (y-5)^{2} + (z-4)^{2} = 53[/tex]

Step-by-step explanation:

From the question, the end point are (3,-2,4) and (7,12,4)

Since we know the end points of the diameter, we can determine the center (midpoint of the two end points) of the sphere.

The midpoint can be calculated thus

Midpoint = [tex](\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2} }{2})[/tex]

Let the first endpoint be represented as [tex](x_{1}, y_{1}, z_{1})[/tex] and the second endpoint be [tex](x_{2}, y_{2}, z_{2})[/tex].

Hence,

Midpoint = [tex](\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2} }{2})[/tex]

Midpoint = [tex](\frac{3 + 7 }{2}, \frac{-2+12 }{2}, \frac{4 + 4 }{2})[/tex]

Midpoint = [tex](\frac{10 }{2}, \frac{10}{2}, \frac{8 }{2})\\[/tex]

Midpoint = [tex](5, 5, 4)[/tex]

This is the center of the sphere.

Now, we will determine the distance (diameter) of the sphere

The distance is given by

[tex]d = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} + (z_{2}- z_{1})^{2} }[/tex]

[tex]d = \sqrt{(7 - 3)^{2} +(12 - -2)^{2} + (4- 4)^{2}[/tex]

[tex]d = \sqrt{(4)^{2} +(14)^{2} + (0)^{2}[/tex]

[tex]d = \sqrt{16 +196 + 0[/tex]

[tex]d =\sqrt{212}[/tex]

[tex]d = 2\sqrt{53}[/tex]

This is the diameter

To find the radius, r

From [tex]Radius = \frac{Diameter}{2}[/tex]

[tex]Radius = \frac{2\sqrt{53} }{2}[/tex]

∴ [tex]Radius = \sqrt{53}[/tex]

r = [tex]\sqrt{53}[/tex]

Now, we can write the standard equation of the sphere since we know the center and the radius

Center of the sphere is [tex](5, 5, 4)[/tex]

Radius of the sphere is [tex]\sqrt{53}[/tex]

The equation of a sphere of radius r and center [tex](h,k,l)[/tex] is given by

[tex](x-h)^{2} + (y-k)^{2} + (z-l)^{2} = r^{2}[/tex]

Hence, the equation of the sphere of radius [tex]\sqrt{53}[/tex] and center [tex](5, 5, 4)[/tex] is

[tex](x-5)^{2} + (y-5)^{2} + (z-4)^{2} = \sqrt{(53} )^{2}[/tex]

[tex](x-5)^{2} + (y-5)^{2} + (z-4)^{2} = 53[/tex]

This is the standard equation of the sphere

Answer:

The circumference is 24.69 in.

The area is 48.52 in.

Step-by-step explanation:

So, Cf=2π(3.93)=24.69in

So, A=π(3.93)^2=48.52in

Answer:

c

Step-by-step explanation:

just plug each coordinates

5=x

18=y

if its tru for both then thats the answer

Answer:

5,8

Step-by-step explanation:

y=4x-2-----(i)

y=x+13----(ii)

Equating equation i and ii we get,

[tex]4x - 2 = x + 13[/tex]

[tex]4x - x = 13 + 2[/tex]

[tex]3x = 15[/tex]

[tex]x = 3[/tex]

[tex]substitutin \: the \: value \: of \: x \: in \: equation \: (i)[/tex]

[tex]y = 4x - 2[/tex]

[tex]y = 4 \times 5 - 2[/tex]

[tex]y = 20 - 2[/tex]

[tex]y = 18[/tex]

Marks this as a brainest answer ok.

no the frame will not fit

7 6/11 =7.545454

7.545454 is larger than 7.5

Answer:

11

Step-by-step explanation:

sawarasenaaa kimi wa-

Answer:

4cm - 4mm = 3.6 cm

So, B and C equals 3.6 cm

Answer:

The answer is 3.

Step-by-step explanation:

The equation would be: x = 14.95 divided by 4.99, rounded to the nearest one:

14.95 divided by 4.99 = 2.99599...

Normally, I would not round the number to the nearest digit in problems like these, but 2.99599 is quite close to 3, so this might be an exception.

Anyways, that's how I got my answer.

Hope this helped.

The GCF of 45 and 75 is 15.

So, divide both numbers by 15.

45/15 = 3

7515 = 5

Therefore, the simplified version of the ratio is 3 to 5

Best of Luck!

Answer:

[tex]-\frac{19}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}-\frac{21}{8}=\frac{2}{8}-\frac{21}{8}=\frac{2-21}{8}=-\frac{19}{8}[/tex]

The required number line represents 2 whole intervals (16/8) and then 7 more parts (7/8) from 0, and ends up at the point marked 2 3/8.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

To add fractions with different denominators, we need to find a common denominator. In this case, we can use 8 as the common denominator:

1/4 + -21/8

1/4 - 21/8

2/8 - 21/8

-19/8

-2 3/8

To represent 19/8 on a number line, we need to divide the interval between 0 and 3 into 8 equal parts, and then count 23 of these parts from 0.

The number line would look something like below as shown.

Thus, the required number line represents 2 whole intervals (16/8) and then 7 more parts (7/8) from 0, and ends up at the point marked 2 3/8.

Learn more about the number line here:

brainly.com/question/17617832

#SPJ3

Answer:

102.2 miles

Step-by-step explanation:

First, convert the minutes to hours:

101.5/60

= 1.69 hours

Multiply this by 60.4 to find how many miles it covered:

= 102.2 miles

Answer:

5pi/3x180grados/piradianes

900/3=300 grados

Step-by-step explanation:

Answer:

I think it would be 50 even numbers

Answer:

7/16

Step-by-step explanation:

3/8 = 6/16

7/16 is greater than 6/16

Hope This Helps :)

Answer:

7/16

Step-by-step explanation:

Simplified 7/16 is 3.5/8, which is more than 3/8. The rest of the answers are less than 3/8.