what is the triangular number of (546)

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Answer:

4.87 × 10-5

Step-by-step explanation:

Hopes this helps.

The answer is 4.87 x 10^-5

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1

Consider the left side

tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]

= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product

= sin²y + cos²y

= 1

= right side ⇒ proven

Step-by-step explanation:

[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\

LHS

= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\

\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\

= \sin^2y + \cos^2 y \\\\

= 1\\\\

= RHS\\\\

\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]

Hence Proved

Answer:

-5*(-6) = 30

-27/9 = -3

Step-by-step explanation:

We know a negative times a negative is a positive, a positive times a positive is a positive, and a negative times a negative is a positive. This rule goes the same for division.

Using that rule -5*(-6) = 30. Which is a negative times a negative = positive.

-27/9 = -3 Which is a negative divided by positive = negative

Answer:32.5

Step-by-step explanation:

585/18

Answer:

The age of the car in years is the independent variable

The average miles is the dependent variable

Step-by-step explanation:

Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.

Hope this makes sense :)

Answer:

30 years

Step-by-step explanation:

41 minus 11=

Step-by-step explanation:

7x + 8 + 15 - 7x

Solving like terms

23

Option C is the correct answer

Answer:

23

Step-by-step explanation:

Given

(7x + 8) + (15 - 7x) ← remove parenthesis

= 7x + 8 + 15 - 7x ← collect like terms

= 23

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

Answer:

hmm

um i don't think I could solve this why not try ta scan math i

Answer:

1 room-8hr (with friend)

alone- -12hr

friend working alone- x-12

Here is the base for you

hope this helps

Step-by-step explanation:

Answer:

The answer is D: $1.20.

Step-by-step explanation:

1. The overall cost is $6

2. There are 5 candy bars

3. Assuming of the bars cost the same, we can find out the cost per bar

4. To do that, we take our overall cost $6, and we divide it by 5

5. 6/5=1.20 which is why the answer is D: $1.20

Answer:

D.$1.20

Step-by-step explanation:

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

Answer:

The temperature in Carlton was always cooler than in Borden.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: 4.722

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

A. 16 pieces

Step-by-step explanation:

If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.

2 x 2 =4

8 x 2= 16

Therefore the answer is 16.

Hope this helps and I explained it well enough !

Have a nice day.

Answer:

7/30

Step-by-step explanation:

First we need to find the number of girls on the Newcastle team, which is the total number of girls minus the number of girls on the other team, giving us 20-6=14. This means the number of player total is 3+7+6+14 or 30 players. There are 7 Sunderland boys so we have 7/30

Answer:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Step-by-step explanation:

For this case we know that the confidence interval for the proportion of interest is given by:

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

And for this case the confidence interval is given:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Answer:

this answer is correct because i just took the test

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

The required percent increase is 12%

Tamanika got a raise in her hourly pay, from $15.50 to $17.36

percentage is defined as, composition of something out of whole inbounds of 100.

since = 17.36 - 15.50/15.50 x 100
= 1.86/15.50 x 100
= 0.12 x 100
= 12

Thus the required percent increase is 12%.

Learn more about percent here:
https://brainly.com/question/14699403

#SPJ2

Answer:

The growth rate is 35%

Step-by-step explanation:

We are given that the amount of people in a population can be determined by using the model :

[tex]y=1000(1.35)^x[/tex]

Formula of exponential growth : [tex]y=a(1+r)^t ----1[/tex]

Where y is the population in t years

a = Initial population

r = growth rate

The given equation can be written as [tex]y=1000(1+0.35)^x[/tex]

Om comparing it with 1

r = 0.35

So, Growth rate = 35%

Hence The growth rate is 35%

Start by changing the -8 to plus a negative 8.

Now, the -7 distributes through the parentheses.

This gives us -7(5x) + -7(-8) which simplifies to -35x + 56.

This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.

Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

So this is why x^2-6x+9 = (x-3)(x-3)

We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.

Answer:

C. (x-3)(x-3)

Step-by-step explanation:

x² - 6x + 9 = 0

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3) (x - 3) = 0

Answer:

i think the letter d is the correct answer sorry if im wrong

Answer:85

Step-by-step explanation:

360-119-71=170

170÷2=85

Answer: sjsjsjdjffj

Step-by-step explanation:

288.64

this is the real answer the last one was a mistake

Answer:C, X and Y

Step-by-step explanation:

I just took the test