An arithmetic series in sigma notation is shown. What is the sum of the first 14 terms of the series

Answer:

Step-by-step explanation:

perimeter=22

AB+BC+AC=22

8+5+AC=22

AC=22-13

AC=9

Apply the Pythagorean theorem:

AB²+AB²=AC²

8²+5²=64+25=89

AC²=9²=81

no it is not a right triangle because it failed the Pythagorean theorem

Answer: 38

Step-by-step explanation: quite simple if you do the math 24 + 14 you get 38 which we can conclude as the angle of his house

Answer:

1. [tex]v<\frac{3y-7}{2}[/tex]

2. [tex]m\leq \frac{6n}{7}[/tex]

Step-by-step explanation:

1. [tex]2v+8-8<3y+1-8[/tex]

[tex]2v<3y-7[/tex]

[tex]\frac{2v}{2} <\frac{3y}{2} -\frac{7}{2}[/tex]

[tex]v<\frac{3y-7}{2}[/tex]

2. [tex]-7m-16+16\geq -2(7+3n)-2+16\\[/tex]

[tex]-7m\geq -6n\\[/tex]

[tex]7m\geq 6n\\[/tex]

[tex]\frac{7m}{7} \leq \frac{6n}{7}[/tex]

[tex]m\leq \frac{6n}{7}[/tex]

Answer:

The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).

Step-by-step explanation:

Answer:

I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.

Have fun!

Answer:

24 pieces

Step-by-step explanation:

Sydney bakes two pies, stephanie brings two more.

Together we have a total of four pies

each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.

6 x 4 = 24

Answer:

d= all the x values

r=all the y values

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Length   Length   Length   Length

1.41  1.41  1.41  1.41

2.24  2.24  2.24  2.24

3  3  3  3

Step-by-step explanation:

.

Answer:

b>-7

Step-by-step explanation:

put an empty circle above -7

Then draw a line from the start of the circle to the right

Hope I helped! :)

Answer:

140 miles

Step-by-step explanation:

Let

Number of miles = m

Total cost = fixed cost + variable cost

Company A = ​$150 + $0.40m

Company B = ​$80 + $0.90m

Equate company A and company B equation

Company A = Company B

​$150 + $0.40m = ​$80 + $0.90m

Collect like terms

150 - 80 = 0.90m - 0.40m

70 = 0.50m

m = 70 / 0.50

= 140

m = 140 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

Answer:

10

Step-by-step explanation:

4 x 1 / 2

Reduce the numbers with the greatest common factor 2

5 x 2 = 10

Answer:

-62, because he didn't have enough of his money since he was using debit.

Answer:69 mins

Step-by-step explanation:

Well 1 hour 9 mins and 14 sec

Answer:

1/8 of a cup.

Step-by-step explanation:

That would be 1/6 of 3/4

= 1/6 * 3/4

= 1*3 / (6*4)

= 3/24

= 1/8.

Answer:

(2x - 7)

Step-by-step explanation:

Answer:

here the answer! There is the  proof it's right. :)

Step-by-step explanation:

Answer:

1/3 = 2/6

Step-by-step explanation

Edu correct

Answer:

d

Step-by-step explanation:

i know this question cause i got a A +on the test dont worry

Answer:

Step-by-step explanation:

Given the distance

Converted into km, considering 1 m = 10^-3 km:

Correct option is C

Answer:

The answer is A 40 cars

Step-by-step explanation:

We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!

Answer:

The equation is: y = 15·x

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

                    Number of Hours:       1          3          6          10

Number of Bicycles Produced:      15        45        90       150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

[tex]\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1[/tex]

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

y = 15·x

y = number of bicycles produced

x = number of hours

Answer:

it is C

Step-by-step explanation:

it is c because all of the other answers are stated in the article, and a opinion is something you think

Answer:

C = L + P

C = £38

Step-by-step explanation:

Given that :

Cost (C) is given by :

Sum of fixed line rental (L) ; price (P) of calls made.

Hence,

Cost formula;

C = L + P

Cost if the line rental is £10 and the price of calls made is £28.

C = L + P

If L = £10 ; P = £28

C = £10 + £28

C = £38

Answer:

No, i dont think so

Step-by-step explanation:

10 1/2 divided by 3/8:

KCF (keep, change the sign, flip the fraction)

·21/2×8/3=168/6

168/6=28

12/2×8/3=16

therefore they are not equal so it is not true

Hope this helped ;)

Answer:

well lets solve this:

10 1/2-->21/10

21/10 dvided by 3/8-------> to divide fractions we do this: 10/21 x 3/8 (swap the denom and num of the firs fraction then multiply by the sec)

10/21x3/8=30/168 = 3/56

12/2 x 8/3 = 6x 8/3= 6/1x8/3=48/3

48/3 simplified is 16/1 =16

3/56x16/1 = 48/56

48/56=24/28=12/14=6/7

Step-by-step explanation:

Therfore this is false

-hope this helps

Answer:

Step-by-step explanation:        divide by 5

         5   |875

           5 |175

           5 |35

          5    |7

5/5=0

Answer:

$420

Step-by-step explanation:

The wholesale price is $300 and the markup is 40% of that, or

0.40($300) = $120

and so the selling price is $300 + $120 = $420

An easier way to calculate this is to multiply $300 by (1.00 + 0.40), or (1.40), which again comes out to $420.

Answer:

$420!

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are expected to solve for the diagonal of a rectangular shape.

given that the length, l=72in

width, w=64in

we can apply the Pythagoras theorem to solve for the diagonal since it corresponds to the hypotenuse of the rectangle

note: we are to leave 2-inches on all sides for the edging of the TV

l=72-2= 70 in

w=64-2=62

diag=√l^2+w^2

diag=√70^2+62^2

diag=√4900+3844

diag=√8744

diag=93.50 in

to the nearest tenth, it is 94in

Answer:

m = -1/3

Step-by-step explanation:

m= rise over run

2-4                1

____    =   -  __

9-3                3

Answer:

-1/3  is the slope

Step-by-step explanation:

I attached an image below to show you how i did this. I hope this helps :)

Answer:

-16n-41

Step-by-step explanation:

Answer:

Slope = - 2

Step-by-step explanation:

Given equation is,

y= - 2x

If x=1, y= -2.

If x=2, y= - 4

Take such few points and plot the graph (1, - 2), (2, - 4)........

Draw a straight line through the points.

For slope, compare the equation with slope intercept form, y=mx + c

Here, c=0 and m=-2

Hope this helps!!

Answer:

so the exterior angle 152 is made from the interior angle being subtracted from 180. we can also subtract 152 from 180 to find the interior angle. 180-152=28  the inside of a triangle is a total of 180 degrees so 110+28=138 180-138=42 degrees. 42 degrees is the final interior angle and the missing and the missing exterior angle is congruent to the 42 degree angle. So the missing exterior angle is 42 degrees

Step-by-step explanation:

The picture attached has work and the answer! :)

Answer:

[tex]\frac{V}{\pi r^{2} }[/tex] = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = [tex]\pi[/tex][tex]r^{2} h[/tex]

Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.

Now we end up with:

[tex]\frac{V}{\pi r^{2} }[/tex] = h