True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.

Answer:

A. Yes, [tex]12\cdot 32> 360[/tex]

B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.

Step-by-step explanation:

A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.

B. Answer contains explanation.

Answer:

13Y

Step-by-step explanation:

7+6 = 13

Answer:

Step-by-step explanation:

7y+6y

y(7+6)

y*13

13y

Or

since they are like term u simply add them

7y+6y

13y

Answer:

36:45

Step-by-step explanation:

$81. u add the ratios 4+5=9

$81/9=9

9*4=36

9*5=45

Answer:

B) 28 in

Step-by-step explanation:

Pythagorean thm formula:

a² + b² = c²

Given:

b = 45

c = 53

Work:

a² + b² = c²

a² + 45² = 53²

a² + 2025 = 2809

a² = 2809 - 2025

a² = 784

[tex]\sqrt{a^2} =\sqrt{784}[/tex]

a = 28

Answer:

4 x 3 = 12

2 x 3 = 6

12 + 6 = 18 cubic cm

Answer:b

Step-by-step explanation:

Answer:

0.47

Step-by-step explanation:

0.47

47 hundredths is equal to 0.47.

If this helps please mark as brainliest

Answer:

The standard form of forty-seven hundredths is 0.47.

Step-by-step explanation:

Have a nice day! :-)

TeamRocket3

Answer:

I believe 90

Step-by-step explanation:

because if you take away 25 (40 pounds) from 100, you divide 100 by 2 to see how many pounds that are 2 $ fit in 100

100/2=50 (pounds)

so 50pounds + the 40pounds (which was the 25$ i took off to make it easier) =90 pounds

hope I helped and feel free to ask questions :)

Answer:

. (Y-4) = -(4)/(3) (x +3)

Step-by-step explanation:

Which equation represents this line in point-slope form?

Answer: B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

By plotting the points given in the table,

All points lie below the dark red line.

Let the equation of the line is,

y - y' = m(x - x')

Here, m = Slope of the line

(x', y') is a point lying on the given line.

Slope of the line passing through two points (-1, 3) and (0, 1) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{3-1}{-1-0}[/tex]

m = -2

Therefore, equation of the line passing through (0, 1),

y - 1 = -2(x - 0)

y = -2x + 1

Since all the points given in the table lie below the dark red line so the solution are will be,

y ≤ -2x + 1

Option B will be the correct option.

Answer:

Adult tickets= 390

Student ticket= 410

Step-by-step explanation:

4A + 2.5S= 2585

A+ S = 800

A= 800-S

Substitute into the first equation

Answer:

2h3-r5

Step-by-step explanation:

first 3-2=5

then 2h3-r=2h3-r5

finally 2h3-r5

Answer:

3.28653¯V7h

Step-by-step explanation:

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]

[tex]y=\dfrac{-3}{3}(x+3)[/tex]

[tex]y=-1(x+3)[/tex]

[tex]y=-x-3[/tex]

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

[tex]y\geq -x-3[/tex]

Therefore, the required inequality is [tex]y\geq -x-3[/tex].

Answer:

Diameter

Step-by-step explanation:

The diameter is a straight line through the centre of a circle.

Hope this helps :)

Answer:

$13.50

Step-by-step explanation:

2 bags of cat food = $4.50

1 bag of cat food = 2/4.50

= 2.25

6 bags of cat food = 2.25*6

=13.50

(B)

.....................

Answer:

Of is a keyword for multiplication.

So, your equation is really 2 X 1,800,000÷3=?

Final answer: 1,200,000

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

110degrees

Step-by-step explanation:

Complete question

Q4: If x and y are two supplementary angles whereas m<x=70 then find the m<y.

The sum of two supplementary angles is 180degrees, hence;

m<x + m<y = 180

70 + m<y = 180

m<y = 180 - 70

m<y = 110degrees

Hence the measure of ,=m<y is 110degrees

We should multiply the expression by (9+√14) fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 9-√14 and its conjugate is; (9+√14).

(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)

                       =  (5-√7)(9+√14)/(9²-14)

                      = (45 + 5√14 - 9√7 - √98)/(81-14)

                       =  (45 + 5√14 - 9√7 - √98)/67

                       = (45 + 5√14 - 9√7 - 7√2)67

This is the rationalized expression.  

The denominator is (9-√14) and its conjugate is (9+√14).

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ7

Answer:

The answer is

B

D

F

Step-by-step explanation:

Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.

It 's c my friend

okayyyyyyyyyyyyyyy

Answer:

  a) 9^2

  b) 9^(1/2)

  c) 9^(3/2)

Step-by-step explanation:

It is perhaps easier to start by using 3^n.

  3 = 3^1

  27 = 3^3

  81 = 3^4

Recognize that 3 = 9^(1/2) and replace 3 in each of the above. The applicable rule of exponents is (a^b)^c = a^(bc).

a) 81 = (9^(1/2))^4 = 9^2

b) 3 = 9^(1/2)

c) 27 = (9^(1/2))^3 = 9^(3/2)

Answer:

(a) 9^2

(b) 9^0.5

(c) 9^1.5

Step-by-step explanation:

We need to find n such that 9^n = value indicated.

Recall that n=2 is a square, so

(a) 9^2=9*9=81

Recall that n=0.5 (or 1/2) is a square root, because 9^0.5 * 9^0.5 = 9^1 = 9, so

(b) 9^0.5 = 3, because 3*3 = 9

Recall that multiplication of two powers with the same base is the sum of the exponents, e.g. 9^a * 9^b = 9^(a+b).

Therefore,

(c) 27 = 9*3 = 9^1 * 9^0.5 = 9^(1+0.5) = 9^1.5

Step-by-step explanation:

[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]

Answer: 1 1/2

Step-by-step explanation:

Here is the correct answer

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3

Answer:

9.97 i think

Step-by-step explanation:

Answer:

r = 24.41cm

Step-by-step explanation:

If you're only trying to find the radius, use the equation:

[tex]Area = \pi r^2[/tex]

When rearranged to make r the subject:

[tex]r = \sqrt\frac{Area}{\pi }[/tex]

When the variables are added:

[tex]r = \sqrt\frac{1872}{\pi }[/tex]

[tex]r = 24.41[/tex]

Answer:

400 miles per hour

Step-by-step explanation:

8000 miles         ÷  20   =        400   Miles

20 hours            ÷  20     =         1     hour

Answer:

Step-by-step explanation:

Here,

3x - 5

There is 3 as coefficient of x and -5 constant.

Hence,

Option D is correct