What is the explicit formula for this sequence?
5, 2, -1, -4, ...
O A. an= -5+ (n - 1)(-3)
B. an = 5+ (n - 1)(3)
C. an= -3+ (n - 115
O D. a, = 5 + (n - 1)(-3)

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;

[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.

The value of x is 1/2y+3/2

Answer:

y = 2x - 3

Step-by-step explanation:

8 + 2y - 5x + y = x - 1

3y = 6x - 9

y = 2x - 3

slope is 2, y-intercept is -3

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

Answer:

$13.16

Step-by-step explanation:

Answer:

C= 37.69ft

A= 113.09ft

Step-by-step explanation:

Circumference=

=37.69

Area=

Area = pi * 6 ^2

Area =113.09

Hope you have a good day!〜

Also please tell me if I'm wrong or not...

Also also if I'm right can I please have Brainliest?

.

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

Answer:

C

Step-by-step explanation:

Answer: Both A, and C

Step-by-step explanation:

The answer to the first system of equations (2x+2y=16) would be

x=3 and y=5 ( 3x-y=4 )

Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

If A is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If B is x+y=16, then x=5 and y=11

         3x-y=4

If C is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If D is 6x+6y=48 , then x=-2 and y=10

            6x+2y=8

Both A and C are equal to the first system of equations, which means they are both correct answers.

Answer:

It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.

Step-by-step explanation:

you'r welcome :)

Answer:

Step-by-step explanation:

F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.

f(-10) = 7(-10) - 5

f(-10) = -70 - 5

f(-10) = -75

Answer:

Rewrite the equation in term of  

x

and  

y

.

f

(

x

)

=

2

x

2

−

7

x

+

5

Rewrite the equation in vertex form.

Tap for fewer steps...

Complete the square for  

2

x

2

−

7

x

+

5

.

Tap for more steps...

2

(

x

−

7

4

)

2

−

9

8

Set  

y

equal to the new right side.

y

=

2

(

x

−

7

4

)

2

−

9

8

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

7

4

k

=

−

9

8

Find the vertex  

(

h

,

k

)

.

(

7

4

,

−

9

8

)

Step-by-step explanation:

Answer:

Alex is reading faster by 5 more pages per hour.

Step-by-step explanation:

Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

Answer:

-8x+2

Step-by-step explanation:

i got a 100 on this test

Answer:

2.5 ounces drip from the faucet per hour.

Step-by-step explanation:

You can figure this out by dividing the amount of water (7.5) by the hours (3).

7.5/3 = 2.5

To check your work you can do the same for the other combinations.

10/4=2.5, 12.5/5=2.5....

I hope this helped :)

Answer:

306

Step-by-step explanation:

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Step-by-step explanation:

Answer:

Answers are in photo

Step-by-step explanation:

Do it in terms of ratio

Answer:

It's 6.

Step-by-step explanation:

6- 1, 2, 3, 6

36- 1, 2, 3, 4, 6

The greatest common factor of 6 and 36 is 6

Given data ,

Let the first number be represented as p

where the value of p = 6

Let the second number be represented as q

where the value of q = 36

To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.

To begin, we can list the factors of each number:

Factors of 6 : 1 , 2 , 3 , 6

Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.

Hence , the greatest common factor is 6

To learn more about greatest common factor click :

https://brainly.com/question/13257989

#SPJ6

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

Answer:

3

Step-by-step explanation:

Answer:

There is not a proportional relationship

Step-by-step explanation:

The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.

Answer:

Yes, the proportional relationship is 9.50

Step-by-step explanation:

In the graph that you have attached this picture with, hours x 9.50 = pay.

Hope this helps :D

Answer:

m = 2, b = 4.6

Step-by-step explanation:

The slope intercept formula is y = mx + b, So you can substitute for the values given.