How would I find this? Would I do 90- # or?

Given:

The sequence is 5, 15, 25, ... .

To find:

The explicit formula for the nth term of the given sequence.

Solution:

We have,

5, 15, 25, ...

It is an AP because the difference between two consecutive terms are same.

Here,

First term : a = 5

Common difference : d = 15 - 5 = 10

Now, the explicit formula for the nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

[tex]a_n=5+(n-1)10[/tex]

[tex]a_n=5+10n-10[/tex]

[tex]a_n=10n-5[/tex]

Therefore, the required explicit formula for the given sequence is [tex]a_n=10n-5[/tex].

Answer: 11 roses

11.75 + 3.50r = 52

r =

Step-by-step explanation:

11.75 + 3.50r = 52

- 11.75               -11.75

3.50r = 40.25

÷3.50    ÷3.50

r= 11.5

We round down to 11 since you cannot buy half of a rose.

Answer:

last one

Step-by-step explanation:

Answer:

it looks like it's an acute triangle and I believe it's also scalene

Answer:

a) The number of ants in week three is shown through the following geometric progression: 500*1.1*1.1*1.1

b) 1.21

Step-by-step explanation:

We know that 500 ants are increasing at a rate of 10% every week which means that we can calculate the week one ants like this

500*1.1

Week two

500*1.1*1.1

and so on.

We write the following equation

500(1.1)^n where n is the number of weeks

We plug in 8 and then 6 for n in the equation above and get

500(1.1)^8=1071.79

500(1.1)^6=885.78

Divide and get that p=1.21

Answer:

m= 5/2

Step-by-step explanation:

Answer:b?

Step-by-step explanation:

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

[tex]x^2 + y^2 -6x+14y-1=0[/tex]

We need to use the Quadratic Formula*

[tex]x =\frac{-b+\sqrt{b^2}-4ac }{2a}[/tex] , [tex]\frac{-b-\sqrt{b^2} -4ac }{2a}[/tex]

Thus, given the problem:

[tex]a = 1, b=-6, c=y^2+14y-1[/tex]

So now we just need to plug them in the Quadratic Formula*

[tex]x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2}[/tex] , [tex]x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}[/tex]

As you can see, it is a mess right now. Therefore, we need to simplify it

[tex]x=\frac{6+2\sqrt{10-y^2-14y} }{2}[/tex], [tex]x = \frac{6-2\sqrt{10-y^2-14y} }{2}[/tex]

Now that's get us to the final solution:

[tex]x=3+\sqrt{10-y^2-14y}[/tex], [tex]x=3-\sqrt{10-y^2-14y}[/tex]

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

Answer:

4(-2)-(0)-2(-1)

a negative number multiplied by a negative number will always equal a positive number as the two negatives cancel each other out.

-2 multiplied by -1 equals positive 2

this is why the 2 is positive.

Answer:

y=-2/3x-5

Step-by-step explanation:

y=-2/3x-5

Answer:

$ 3.92

Step-by-step explanation:

Answer:

-81

Step-by-step explanation:

-6(2x² + 5x) - 9

substitute -4 for 'x'

-6[2(-4)² + 5(-4)] - 9

-6[2(16) + (-20) - 9]

-6(32 - 20) - 9

-6(12) - 9

-72 - 9 = -81

Answer:

87

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

J = -2

Step-by-step explanation:

You must isolate the variable by dividing each side by factors that dont contain the variable.

So J would equal -2

Answer:

5y+4

Step-by-step explanation:

Combine Like Terms:

=−4y+7+9y+−3

=(−4y+9y)+(7+−3)

=5y+4

Answer:

5y + 4

Step-by-step explanation:

-4y + 7 + 9y - 3​

5y + 7 - 3

5y + 4

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{Solving\ for\ m.}\\\\\bold{-5m=-35}[/tex]

[tex]\bold{-5m=-35}\\\bold{DIVIDE\ by\ (-5)\ to\ BOTH\ SIDES}\\\\\bold{\dfrac{-5}{-5}=\dfrac{-35}{-5}}\\\\\bold{Cancel: \dfrac{-5}{-5}}\ \bold{because\ it\ equals\ 1.}}}\\\\\bold{Keep: \dfrac{-35}{-5}\ because\ it\ helps\ us\ solve\ for\ m.}\\\\\bold{m =\dfrac{-35}{-5}}\\\\\\\bold{Solve\ above\ and\ you\ have\ m}\\\\\boxed{\boxed{\bold{Answer: 7}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040}[/tex]

The value of m is 7 in the equation [tex]-5m = -35.[/tex]

The given equation is [tex]-5m = -35[/tex].

In the equation, the variable is m.

To find the value of m, divide both sides by 5:

[tex]-m=-\frac{35}{5}[/tex]

[tex]-m=-7[/tex]

The minus sign on both sides will be cancelled.

[tex]m=7[/tex]

Hence, the value of m is 7 in the equation [tex]-5m = -35.[/tex]

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

eat sleep play

Step-by-step explanation:

Answer:

L= 56cm

W= 14cm

Step-by-step explanation:

Given data

Perimeter of the frame= 140cm

Let the width be

W=x cm

Length= 4x

We know that

P= 2L+2W

subsitute

140= 2(4x)+2(x)

140 = 8x+2x

140= 10x

Divide both sides by 10

x= 140/10

x= 14cm

The length is

L= 4(14)

L= 56cm

Answer:

Step-by-step explanation:

Hyhh

This question is dealing with fractions and percentages.

Fractions and percentages are just means of expressing a part of a whole portion.

percentage of magazines that belong to women is = 5%

Number of women magazines = 4

Number of other magazines = 76

Total number of magazines = 4 + 76 = 80

Therefore,

percentage of magazines that belong to women is; [tex]\frac{4}{80}[/tex] × 100

percentage of magazines that belong to women is = 5%

Read more at; brainly.com/question/13104179

Step by Step Explanation:

R=V/I

R=12/4=3

so i =V/R

i=18/3

i=6 ans.

Answer:

I'm guessing G

Step-by-step explanation:

Answer:

i beleive the answer is J

Step-by-step explanation:

tvtjbrgjrtvrv hvrbftvubiuofni4rnfuohfvoi urfihbrifniurfurbfn un4rtifbhb4rnfpj

Answer:

Whats popin

Step-by-step explanation:

Answer:

Step-by-step explanation:

Start by breaking up the question into parts:'always an odd number' . An even number is any number divisible 2 e.g. 2n, an odd number is always 1 higher or lower than an even number e.g. 2n+1 or something similar. Getting an answer at the end of working of this form will prove the theory'any two consecutive integers' means two numbers that are next to each other on the number line.To prove this, we can do this in terms of n i.e. n and n+1'the squares' square the two terms we have just written down to give n2 and (n+1)2The 'sum of the squares' tells us to add these two parts together. We would then hope to work through this and get something similar to the idea of 2n+1 or something similarn2+(n+1)2=2n2+2n+1=2(n2+n) +1. The first part of this is even because it is divisible by 2. By adding 1 it must become odd.

Answer: Every even number can be expressed in the form (2n) where n is an integer. So we have an even number, 2n, and an odd number, 2m+r. Adding them together we get 2n + 2m + r, which can be expressed as 2 (n+m) + r.

Answer:

=408x3+1556x2−4008x+1564

Step-by-step explanation:\

(8x−4)(3x+17)(17x−23)