Find the greatest common factor of the
following monomials:
39n3 48n2

Answer:

5x^4

Step-by-step explanation:

Re-order terms so constants are on the left

x^2*x^2*5

5x^2*x^2

Combine exponents

5x^2*x^2

5x^4

Answer:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

Step-by-step explanation:

Given

[tex]x \to[/tex] element of natural number

[tex]x \to[/tex] multiple of 8

Required

Express in roster form

[tex]Natural[/tex] [tex]numbers[/tex] are 1, 2, 3, 4, 5, 6, ......

[tex]Natural[/tex] [tex]numbers[/tex]  that are multiples of 8 are 8, 16, 24, 32, 40, ......

So, the set in roster form is:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

Answer: kelsea 4 apples left

Step-by-step explanation:

Answer:

1° and 89°

Step-by-step explanation:

They add up to 90°

Hope this helps! :)

Answer:

253 in²

Step-by-step explanation:

Surface area of a cylinder= 2πr (r+h)

The radius is not shown.

Radius= diameter/2

           = 7/2

           = 3.5 in

Surface area= 2xπx3.5 (3.5+8)

                     = 253 in²

*r=radius

h=height

I used the π value from my calculator.

P.S. You can substitute π for 3.14. If you round it to the nearest whole number, you will still get the same answer. Hope this helped!

The picture shows the diameter and the height. First, find the radius from the diameter by dividing by 2.

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

Answer:

0.034522 (for decimal)

Step-by-step explanation:

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

So, let's find the slope of each equation.

The first basketball is modeled by:

[tex]\displaystyle 3x+4y=12[/tex]

We can convert this into slope-intercept form. Subtract 3x from both sides:

[tex]4y=-3x+12[/tex]

And divide both sides by four:

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

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

[tex]-6x-8y=24[/tex]

Again, let's convert this into slope-intercept form. Add 6x to both sides:

[tex]-8y=6x+24[/tex]

And divide both sides by negative eight:

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

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

Answer:

7 inches

Step-by-step explanation:

area of square=l^2

49=l^2

[tex]\sqrt{49[/tex]=l

7=l

therefore the sides of a triangle is 7 inches.

Answer:

7

Step-by-step explanation:

So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!

Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

8 5/9 minutes - 7 1/3 minutes

Get a common denominator

8 5/9 - 7 1/3 *3/3

8 5/9 - 7 3/9

1 2/9 minutes faster

Answer:

Angle parking is more common than perpendicular parking.

Angle parking spots have half the blind spot as compared to perpendicular parking spaces

Step-by-step explanation:

Considering the available options, the true statement about angle parking is that" Angle parking is more common than perpendicular parking." Angle parking is mostly constructed and used for public parking. It is mostly used where the parking lots are quite busy such as motels or public garages.

Therefore, in this case, the answer is that "Angle parking is more common than perpendicular parking."

Also, "Angle parking spots have half the blind spot as compared to perpendicular parking spaces."

Answer:

[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

Step-by-step explanation:

we would like to figure out the second derivative of the following:

[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]

we can rewrite it thus rewrite:

[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]

by sum derivation we obtain:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]

by exponent derivation we acquire:

[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]

take derivative In both sides once again:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]

use difference rule which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]

use exponent derivation which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]

by law of exponent we get:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

hence, our answer is d)

Answer:

500

Step-by-step explanation:

that is the procedure above

Answer:

log 18= 2.0850

1.2925+0.7925= 2.085

Answer:

x>-5

Step-by-step explanation:

2-x<7

Subtract 2 from each side

2-x-2<7-2

-x<5

Multiply each side by -1, remembering to flip the inequality

x>-5

Answer:

2/25

Step-by-step explanation:

[tex]n^3 = \frac{8}{125}[/tex]

[tex]n^3 = (\frac{2}{5})^3[/tex]

[tex]n = \sqrt[3]{n^3} = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \frac{2}{25}[/tex]

Answer:

First, find the multiplier  ( 100-18/100)

=0.82

364000*0.82

=298480 is the new value after the years

Answer:

radius is 6 diameter is 2 don't know the other one tho

Answer: [tex]\sqrt{3}[/tex] x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ([tex]\sqrt{3}[/tex]). Therefore, square root 3 ([tex]\sqrt{3}[/tex]) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

Answer:

13.8564064606

Answer:

[tex]y=-x+1[/tex]

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.

To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.

Using (1, 0) from the table:

[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]

Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

Step-by-step explanation:

44

Answer:

x=36

Step-by-step explanation:

sqrt(x) +3 = 9

Subtract 3 from each side

sqrt(x)+3-3 = 9-3

sqrt(x) = 6

Square each side

(sqrt(x))^2 = 6^2

x = 36

Check the solution

sqrt(36) +3 = 9

6+3 = 9

Solution is valid

Answer:

x = 36

Step-by-step explanation:

√x + 3 = 9

subtract 3 from 9

√x = 9 - 3

√x = 6

Find , square root of 6

x = (6 ) ²

x = 36

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

[tex] = 4 + 4 \sqrt{3} + 3[/tex]

[tex] = 7 + 4 \sqrt{3} [/tex]

[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

Answer:

5x-2

Step-by-step explanation:

15x^2-x-2

15x^2+5x-6x-2

factorize

5x(3x+1)-2(3x+1)

Sol: (3x+1)*(5x-2)

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

Answer:

See below

Step-by-step explanation:

3x < 11.75

11.75 / 3 = 3.92

x < 3.92