The lines 5x + 2y = 14 and y = –5x + 9 are
A,parallel
b.perpendicular
c.neither

Answer:

13760

Step-by-step explanation:

The statement as given is not true. For n = 1, the left side is just the first term, 1, while the right side would be 3(1) - 1 = 2, and 1 ≠ 2.

I think what you meant to write was the equation

1 + 4 + 7 + ... + (3n - 2) = 1/2 n (3n - 1)

which can be easily proved by induction.

For n = 1, we have

1 = 1/2 (1) (3(1) - 1)   →   1 = 1

which is of course true.

Now for the inductive step. Assume the equation holds for n = k, so that

1 + 4 + 7 + ... + (3k - 2) = 1/2 k (3k - 1)

and use this to show it holds for n = k + 1.

We would have

1 + 4 + 7 + ... + (3k - 2) + (3(k + 1) - 2)

which reduces to

1/2 k (3k - 1) + (3k + 1)

3/2 k² + 5/2 k + 1

1/2 (3k² + 5k + 2)

1/2 (k + 1) (3k + 2)

which is precisely what the formula gives on the right side for n = k + 1. QED

Answer:

Nick

Step-by-step explanation:

NICK HAS THE KITTEN BECAUSE NORA HAD A GERBIL AND NACY IS THE COUSIN OF THE PERSON WITH THE KITTEN SO THAT WOULD MEAN NANY HAS A PUPPY.

Answer:

5/6

Step-by-step explanation:

Answer:

it means it could be this 1/75 or  1 to 75

Step-by-step explanation:

.

Answer: f(2)=5

Step-by-step explanation:

f(2)=2(2)+1=5

f(2)=5

answer:

Amount of sales tax ≈ $2.06 dolla

Price with sales tax ≈ $27.06 dollars

8.25% × 25 =

8.25/100 × 25 =

0.0825 × 25 =

2.0625=

2.06;

Answer:

x=3.4

Step-by-step explanation:

you want to subtract 4.2 from 5.9 so it will be 1.7. Then 1.7/0.5 and it will be 3.4

hope this helped  

Answer:

46 jumps per minute

Step-by-step explanation:

TO find the number of jumps per minute, just divide the number of jumping jacks in 4 minutes by 4 and that equals 184/4 = 46

Answer: 46

Step-by-step explanation:

Answer: The second one y= 1.6x-5

Step-by-step explanation: I am in the 8th grade and learn this last week. You probably live in a different country. btw can i have brainliest?

Answer:

Lower limit: -5

Upper limit: -15

Step-by-step explanation:

Notice that the property of addition of integrals shown below, gives the answer to the problem:

[tex]\int\limits^b_a {f(x)} \, dx +\int\limits^c_b {f(x)} \, dx =\int\limits^c_a {f(x)} \, dx[/tex]

therefore, the values you need to type inside the two limits of the integral are:

Lower limit: -5

Upper limit: -15

the is a. 21

Two Angles are Complementary when they add up to 90 degrees (a Right Angle).

Answer:

[tex] \huge \orange{y - 1 =4(x - 2) } \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have the final answer as

[tex]y - 1 = 4(x - 2)[/tex]

Hope this helps you

Answer:

7.8 inches

Step-by-step explanation: you divide the 60 minutes in an hour by the 45 minutes. You should get 1.3. After that you multiply the 1.3 time the 6 inches of rain and receive 7.8 inches.

450 inches of rain per hour

if you want an explanation i can give you one

Answer:

45 lb

Step-by-step explanation:

You can simple use unitary methods.

It is a simple visualization:

27.4 on moon = 164.4 on earth

(27.4/164.4) on moon = 1 on earth

270(27.4/164.4) on moon = 270 on earth

45 on moon = 270 on earth

Or, use, unitary method,

=> 164.4/27.4 = 270/x

=> x = (270 × 27.4)/164.4

=> x = 45

Or, use the concept "weight becomes 1/6 of the real one(of that on earth)".

270 lb on moon = 270/6 = 45 lb

mark brainliest

Answer:

3.78

Step-by-step explanation:

378/100 =3.78

100cm=1meter

Answer:

1:3, for every day he runs 3 miles

1:3

2:6

3:9

ect

Answer:

depending on how many days he runs you multiply by three see since he only ran one day he only ran 3 miles lest say he ran for 5 days in a row he has ran 15 miles in total because 5x3=15 so the equation would be 3x

Step-by-step explanation:

Answer:

$48.75

Step-by-step explanation:

500.00 x 9.750=$48.75 sales tax

Answer:

NPV= $9,923.56

Step-by-step explanation:

Giving the following information:

Initial cost= -$55,000

Cash flows= $10,000

Cost of capital= 11%

To calculate the net present value, we need to use the following formula:

NPV= -Io + ∑[Cf/(1+i)^n]

First, we need to discount the cash flows:

PV= Cfn / (1+i)^n

Cf1= 10,000/1.11= 9,009.01

Cf2= 10,000/1.11^2= 8,116.22

Cf3= 10,000/1.11^3= 7,311.91

......

Cf12= 10,000/1.11^12= 2,858.41

Total PV= $64,923.56

Now, the NPV:

NPV= -55,000 + 64,923.56

NPV= $9,923.56

Answer:

x = 22

3x + 2 = 68°

Step-by-step explanation:

x + 3x + 2 = 90° because this is a right triangle

3x + 2 = 90

4x = 88 divide by 4

x = 22

3x + 2 replace x with the value we found

3×22 + 2 = 68°

Answer:

c

Step-by-step explanation:

Answer:

As sample size increases, the margin of error decreases. As the variability in the population increases, the margin of error increases. As the confidence level increases, the margin of error increases.

so c i think

Step-by-step explanation:

Answer:

20 because she paid 20 for each shirt

Step-by-step explanation:

60/3=20

Answer:

Point-slope form: y+2=-2(x-4)

Answer 45

Step-by-step explanation:

Because 2 times 5 is 10 so 7 times 5 is 35 then add them together.

Answer:

640000 is the answer ggggg

Answer:

640,000

Step-by-step explanation:

All you have to do is do 8 times 8 then add 4 zero's to your answer of 64 now when you add the zero's you get 640,000

Answer:

5 toppings

Step-by-step explanation:

The formula is y=2x+14 with x being the number of toppings and y the total price.

Plug in 25 as y to see how much x would be at that price.

25=2x+14

11=2x

x=5.5

You can't get half of a topping so you would have to round down to 5 toppings.

Answer:

you can order 4 toppings but if you wanted a specific answer, it would be 5.5

Step-by-step explanation:

you have 25, subtract 14, you have 11, divide 11 by 2, you get 5.5 but you cant get half so you have 4 if you round it