Find the sum of the first 15 terms of the AP:11,5,-1,-7
​

Answer: y = 36x

Step-by-step explanation: Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = , y = 12, then

k =  =  = 12 × 3 = 36

y = 36x ← equation of variation

Answer:

Step-by-step explanation:

Rational

Answer:

Rational

Step-by-step explanation:

20 x 20 is 400 so 20 is a rational number

Answer:

6,6,6,6,6

Step-by-step explanation:

You’d have to have an odd number of 6s and more than one, so either 3 or 6 of the numbers will have to be 6s

6, 6, 6, 6, 6

5, 6, 6, 6, 7 (the 5 and 7 could be replaced by 4/8, 3/9, 2/10, or 1/11 - as long as balance is preserved)

Answer:

£4.9

Step-by-step explanation:

1.40 x 3 = 4.2

1.40/2=.7

4.2+.7= £4.9

Answer:

Perpendicular

Step-by-step explanation:

perpindicular

Step-by-step explanation:

Perpindicular has multiple sides and has a 90 degree plane

Answer:

GCF: (x + 2)(9x + 6)

Step-by-step explanation:

Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:

Since (x + 2) are common between the two groups, then we can group 9x and 6 together.

In other words:

= 9x(x + 2) + 6(x + 2)  

= (9x + 6)(x + 2)

If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:

(9x + 6)(x + 2)

= 9x² + 18x + 6x + 12

= 9x² + 24x + 12

In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:

Given:  9x(x + 2) + 6(x + 2)  

Distribute 9x and 6 into the parenthesis:

= 9x² + 18x + 6x + 12

Combine like terms:

= 9x² + 24x + 12    ⇒ As we can see, this trinomial matches our solution.

Therefore, the correct answer is: (x + 2)(9x + 6).  

Answer:

-2.7, -10, -14.6

Step-by-step explanation:

Hello,

(i) Express n as the subject.

[tex]C=\frac{nA}{n+12}[/tex]

[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]

(ii)

Since C = 6 mL and n = 8 we need to solve this equation of unknown A :

[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]

Thus, the equivalent adult dosage A would be 15 mL

(iii) I let you think about this one

Good Luck

Answer:

A)  -5/2 and 5

B) 1 and 0

Step-by-step explanation:

y=mx+b is the standard form:  m is the slope and b is the y-intercept.

5x+2y=10

y = -(5/2)x + 5  [Rearrange to standard format]

slope__-5/2__  

y-intercept__5___

===========

y=x

Slope = 1

Y-intercept = 0

Answer:

9

Step-by-step explanation:

Hi there!

We're given that x=√3, and we want to find the value of [tex]x^4[/tex]

We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.

An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.

If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:

(√3)² * (√3)²

The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,

(√3)² = (√3)(√3)=3

And then the number on the right of the multiplication sign:

(√3)² = (√3)(√3)=3

Substitute these numbers in as (√3)² and (√3)²:

3 * 3 = 9

Therefore, x² * x², or [tex]x^4[/tex] is equal to 9

Hope this helps!

Answer:

x= 8

What I Did:

First I turned them into whole number so I turned 0.6 into 6 and 4.8 into 48

Then I divided 48 by 6 which was 8

You can also add 0.6 as many times until you get to 4.8 but then you're just wasting time.

Answer: x = 8

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

180-110=70

70/4=17.5

Answer:

x=17.5

Step-by-step explanation:

Because a straight line is 180 degrees, subtract 110 from 180:

180-110= 70

Then divide 70 by 4:

70/4= 17.5

Hope this helps! :)

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

Answer:

1. 3rd

2. 3rd

3. 1st

4. 1st

Answer:

no

Step-by-step explanation:

1. is right

2. is third-person

3. is right

4. is right

Answer:

The total time taken by 3 men to trim the hedge would be 80 minutes.

Step-by-step explanation:

1) The time taken by 4 men to trim the hedge is 1 hour or 60 min.

2) One me would take 4 times more time alone i.e. Time taken by only one man would be 4 hours or 240 min.

3) The time taken by 3 men would be 3 times less than time taken by one man i.e. 240/3=80 min.

#of people = 4

time taken for 4 ppl = 1hr / 60mins  

# of people = 3

time taken = 1/x

4 - 1/60

3 - 1/x

cross multiply

x=60/3*4

x=80

hope this helps :)

mark me brainliest :D

Answer:

The correct answer is AAAA

Answer:

A.

[tex] \frac{8}{15} and \: 0.53[/tex]

Answer:

Based on the given conditions, formulate:  

Reduce the fraction:

get the result:

Answer:

Step-by-step explanation:

The Amrit's income is £27434.16.

It is required to find the

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore, the Amrit's income is £27434.16.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

You're answer would be 99.0%.

Answer:

a) 27 - 8= 19 pages of stamps

b) 16 × 3 = 48 DVDs

c) 35km - 19km = 16km

~combination

[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]

[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]

[tex] \large \sf = \frac{9!}{6!.3!} [/tex]

[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]

[tex] \large \sf = \frac{362880}{720.6} [/tex]

[tex] \large \sf = \frac{362880}{4320} [/tex]

[tex] \large \sf = \boxed{84}\: ✓[/tex]

~ nice to help you ^^

Answer:

infinite number of solutions

Step-by-step explanation:

8x + 4 = 8x + 4

Since the expressions on both sides are the same then any value of x will make the equation true.

That is the equation has an infinite number of solutions

Answer:

true. the line is passing through 2 lines at the same time

Step-by-step explanation:

you're welcome :)

Answer:

The Forth Answer

Step-by-step explanation:

I Think That Is correct

ItxAlex

Hope It Helps

A L E X

Answer:

-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

Learn more about perception in https://brainly.com/question/7337201

Answer:

75 dollars a month

Step-by-step explanation:

To find The amount we need to divide 600 by 8 which gives us 75

Answer:

75

Step-by-step explanation:

600 divided by 75 = 8 so his rent fee will be 75 a month