If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.

A. an=(15)n−1 for n ≥ 1
B. an=(5)⋅(15)n−1 for n ≥ 2
C. an=(5)⋅(15)n−1 for n ≥ 1
D. an=(1)⋅(15)n−1 for n ≥ 2

Answer:

Sorry i can only answer one but the first one of the trapizoid is 76

Step-by-step explanation:

see picture

Answer:

the second table

Step-by-step explanation:

if you plot all the points on a graph, the second function is the only one with a linear function. a linear function is a straight line.

Answer:

a Long-term goals are reached over an extended period of time, so your current income does not affect

them.

Step-by-step explanation:

Financial planning refers to long term goals that are planned and reached over an extended period of time to keep one solvent in cases of emergency without having a direct effect on current income.

Solvency simply means having more assets than liabilities to be able to stay afloat of one's debts.

Answer:

[tex]g(x)=-(x-5)^2+4\\=-(x-7)(x-3)[/tex]

Step-by-step explanation:

Given: coordinate grid

To find: the missing number

Solution:

Equation of the parabola that open downwards and is symmetric about y-axis is [tex](x-h)^2=-4p(y-k)[/tex] where [tex](h,k)[/tex] denotes the vertex and focus is at [tex](h,k+p)[/tex]

[tex]g(x)=-(x-.....\,\,\,\,)^2+\left ( ....... \right )\\(x-.....\,\,\,\,)^2=-\left ( g(x)-(....) \right )[/tex]

[tex](x-h)^2=-\left ( g(x)-(k) \right )[/tex]

From the graph, vertex is [tex](5,4)[/tex]. Put [tex](h,k)=(5,4)[/tex]

[tex]g(x)=-(x-5)^2+4\\=-\left [ (x-5)^2-2^2 \right ][/tex]

Use formula [tex]a^2-b^2=(a+b)(a-b)[/tex]

So,

[tex]g(x)=-\left [ (x-5)^2-2^2 \right ]\\=-\left [ (x-5-2)(x-5+2) \right ]\\=-(x-7)(x-3)[/tex]

Answer:

580

Step-by-step explanation:

1/2 6x10 x2 for the two bases is 60. for the rams is 20x8 x2 cause there is two ramps. then the bottom is 10 x 20 is 200. add them all up and get 580.

Answer:

760 m^2

Step-by-step explanation:

Answer:

HEXAGON:

Using the same methods as for hexagons to the right (I'll let you do the pictures)... 

To find the sum of the interior angles of a dodecagon, divide it up into triangles... There are ten triangles...  Because the sum of the angles of each triangle is 180 degrees...  We get

So, the sum of the interior angles of a dodecagon is 1800 degrees.

Regular Dodecagons:The properties of regular dodecagons:

All sides are the same length (congruent) and all interior angles are the same size (congruent).

To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)...  And there are twelve angles...

So, the measure of the interior angle of a regular dodecagon is 150 degrees.

The measure of the central angles of a regular dodecagon:

To find the measure of the central angle of a regular dodecagon, make a circle in the middle (I'll let you do the picture)...  A circle is 360 degrees around...  Divide that by twelve angles...

So, the measure of the central angle of a regular dodecagon is 30 degrees.

Answer:

No, 16i^2+8i+15

Step-by-step explanation:

No, she did not square it properly.

(a+b)^2=a^2+2ab+b^2

So in this case, a=3, and b=4i

(3+4i)^2

= 3^2+2(3*4i)+(4i)^2

=9+6+8i+16i^2

=15+8i+16i^2

= 16i^2+8i+15

Answer:

25%

Step-by-step explanation:

Answer:

105/24

Step-by-step explanation:

The volume of a rectangular prism is length*width*height.

3/2 * 5/4 * 7/3 would be 15/8*7/3 which is 105/24, which is the fourth option.

[tex]answer = \frac{105}{24} \\ solution \\ volume \: of \: rectangular \: prism \\ = l \times b \times h \\ = \frac{3}{2} \times \frac{5}{4} \times \frac{7}{3 } \\ = \frac{105}{24} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

6/5, 0.3815, 97%

Step-by-step explanation:

6/5 = 1.2 = 12%

0.3815 * 100 = 38.15%

97%

Answer:

.3815, 97%, 6/5

Step-by-step explanation:

To keep this simple, just convert all of them into decimals.  6/5= 1.2 if you divide it.  97%= 0.97 because you divide the percent by 100 to get to the decimal.  And finally, .3815 is already a decimal.

Now, you just sort it out.  1.2 is the largest number because it is the only one that is greater than 1.  So that would go last

Now you compare .97 and .3815.  To find out which one is greater, look in the tenths place, or the first digit after the decimal.  9 is obviously greater than 3 so .97 is greater than .3815.

Using this info we found, the smallest is .3815, then 97%, then 6/5

Answer:

300 km²

Step-by-step explanation:

Area of the triangle = 1/2 × base × height

Area = 1/2 × 20 × 30

Area = 300 km²

Answer:

[tex]300 {km}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

d

Step-by-step explanation:

The equation of a line which passes through the origin is

y = mx ( where m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 4)

m = [tex]\frac{4-0}{1-0}[/tex] = 4 , thus

y = 4x → d

Answer:

D

Step-by-step explanation:

Please refer to picture attached.

The best method to deduce if the graph passes through the points mentioned, just substitute the values of x from the point into the equation to deduce if the y value is the same as the value in the point.

Answer:

A.) 3

Step-by-step explanation:

Let's start with the numerator:

√36/√4

√36 = ?

We know that 36 is a perfect square, or the product of one number multiplied by itself.

6 x 6 = 36

So, √36 = 6

Let's look at the denominator:

√36/√4

√4 = ?

We know that 4 is also a perfect square.

2 x 2 = 4

So, √4 = 2

Now we have the numerator: 6

And the denominator: 2

Fraction: 6/2

If we simplify this fraction, we are left with 3 because 6 divided by 2 is 3.

Therefore, the first answer is correct.

Answer:

3

Step-by-step explanation:

Answer:

Order of Opperation:

1=  67

2= 255

3= 42

4= -37

5= 55

6= 4

Evaluate Expression:

1= -1

2= 0

3= 5

4= 6

integer opperation:

1. 6

2. -20

3. 18

4. -12

5. -13

6. -15

7. -5

8. 96

9. 0

10. 18

11. undefined or 0/6

12. -56

Conversion Table:

50%

25%

3/4 AND .75

33%

2 5/10 (If u need simplified it would be 1 1/2) AND 2.5%

1 5/10 (If u need simplified it would be 1 1/2) AND 1.5

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] = 2(5x - 2y)[/tex]

Step-by-step explanation:

[tex]10x - 4y \\ = 2(5x - 2y)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Everything

Step-by-step explanation:

By knowing the context, you could tell what just happened and could even predict what's going to happen.

Answer:

Dante most likely asked the students if they should change the school mascot. This is a statistical question because the question can be answered by data that varies.

Step-by-step explanation:

You can see that the results for this question are either "yes" or "no". This means that Dante asked a question with a yes or no answer related to changing the mascot. This question was probably something along the lines of whether or not the mascot should be changed.

The definition of a statistical question is "a question that should have different answers". Therefore, this is a statistical question because the answers will be different from student to student.

Hope this helps!

Answer:

y=1x−4(ln(x))y=1x−4(ln(x)))

Step-by-step explanation:

Xmin= -10

Xmax= 10

Ymin=-10

Ymax= 10

Graph

Hope this helps.

Answer:

Step-by-step explanation:

no y-intercept

Answer:

C. $440.24 is your answer.

Hope this helps!

Answer:

The answer is 324π m².

Step-by-step explanation:

Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 18 \div 2[/tex]

[tex]radius = 9m[/tex]

Then substitute into the formula :

[tex]s.a = 4 \times \pi \times {r}^{2} [/tex]

[tex]let \: r = 9[/tex]

[tex]s.a = 4 \times \pi \times {9}^{2} [/tex]

[tex]s.a = 4 \times \pi \times 81[/tex]

[tex]s.a = 324\pi {m}^{2} [/tex]

Answer:

The answer is 324π m².

Step-by-step explanation:

Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius

Answer:

2,0

Step-by-step explanation:

So since this is a plane what i remember is that since there are three triangles c is directly at -4 and a is directly at 2 and b is direclty at 4.

Add them up gives you 4+2+-4

4-4=0

2+0=2

Answer:

linear graph

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

did the test

Answer:

The answer is D

Step-by-step explanation:

If you are working with right triangles, all of the other answers make a right triangle but if you're working with all triangles, all of the above can make a triangle.

Answer:

C = 3b

Step-by-step explanation:

If each bottle costs 3 dollars, then the cost of b bottles would be 3b.

Answer:

The answer would be A. 55.

Step-by-step explanation:

For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.

For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.

The number of Jordan's tags that are red are; A: 55 tags

35% of the 200 tags are blue. Thus;

Number of blue tags = 35% * 200 = 70 tags

3/8 of the 200 name tags are yellow. Thus;

Number of yellow tags = 3/8 * 200 = 75 tags

The remaining tags are red. Thus;

Number of red tags = 200 - (75 + 70)

Number of red tags = 55 tags

Read more about Proportions at; https://brainly.com/question/1781657

Answer:

5x+12=5x-7

Step-by-step explanation:

If both x's on each are the same number, but with different constants, then the equation is unsolvable. If 5x+12=y, then 5x-7 can't also equal y because they are two different equations.

With all other equations, although some come out irrational, they are solvable and have a solution to them.

Answer:

11

Step-by-step explanation:

Range of the data = highest score - lowest score

= 90 - 79 = 11

Answer:

Range__ higher -smaller

Step-by-step explanation:

90-79=11

Answer:

The answer is B.

Step-by-step explanation:

When Elimination method is applied, you have to eliminate one of the variables from both equations. Firstly, both equations contain 4y so you can subtract it :

[tex]7x + 4y = 39 - - - (1)[/tex]

[tex]2x + 4y = 14 - - - (2)[/tex]

[tex](1) - (2)[/tex]

[tex]7x + 4y - 2x - 4y = 39 - 14[/tex]

[tex]5x = 25[/tex]

[tex]x = 25 \div 5[/tex]

[tex]x = 5[/tex]

Next, you have to substitute x = 5 to any equations. I will choose to put in (2) :

[tex]substitute \: x = 5 \: into \: (2)[/tex]

[tex]2(5) + 4y = 14[/tex]

[tex]10 + 4y = 14[/tex]

[tex]4y = 14 - 10[/tex]

[tex]4y = 4[/tex]

[tex]y = 4 \div 4[/tex]

[tex]y = 1[/tex]

Therefore, put your answer in coordinate form :

[tex]x = 5 \\ y = 1[/tex]

[tex](5,1)[/tex]

Answer:

17

Step-by-step explanation:

Let x be the first side

x+2 is the next side ( consecutive odd number)

x+4 is the third side ( consecutive odd number)

P = x + x+2 + x+4

45 = x + x+2 + x+4

Combine like terms

45 = 3x+6

Subtract 6 from each side

45-6 = 3x+6-6

39 = 3x

Divide by 3

39/3 = 3x/3

13 =x

The longest side is

x+4

13+4 = 17

The longest side is 17

The longest side is 16.

Let the consecutive sides be y, y+1, and y+2.

The perimeter of a triangle is gotten by adding all its sides. Therefore, the perimeter will be:

y + y+1 + y+2 = 45

Collect like terms

3y = 45 - 3

3y = 42

Divide both side by 3

3y/3 = 42/3

y = 14

Therefore, the longest side will be:

y + 2 = 14 + 2 = 16

The longest side is 16.

Read related link on:

https://brainly.com/question/13978159

Answer:

B

Step-by-step explanation:

(x-3)² + (y-2)² = 16

(x-h)²+(y-k)²=16

r=4

h=3

k=2

center is at the point (h, k) ⇒ (3, 2)