Which of the number line graphs shows the solution set of |x – 2| > 3?

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

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Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

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For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

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Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

8^2 + 2 = 64 + 2 = 66

The answer is 66 because 8 to the second power is 64 and then you add 2.

Answer:

66

Step-by-step explanation:

8^2 is equal to 64

64 +2 = 66

8^2 is 8x8

so 8x8= 64

64+2 is 66

Answer:

See below:

Step-by-step explanation:

First fill in:

180* . Every triangle has interior measurments of 180* total

Second fill in: Reason is definition of sum of triangle's interior angles

Third fill in: 2x. Everything in this equation is asking for the angles. First angle is 28, second angle is 2x, and third angle is x-4.

Fourth fill in: x=52

I found this by doing the following:

First, 180-28, so we can see how many degree we are left with.

152.

Now, make an equation:

152=2x+x-4

Simplify

152=3x-4

Add 4 to both sides to cancel out the -4.

156=3x

divide 156/3=52.

Now we know that x=52.

Although the question doesn't ask for this, you would now substitue 52 back into each of the equations to find that degree. For example, 2x=2(52), or 104*.

Answer:

See image

Step-by-step explanation:

All the angles of a triangle add up to 180°

The given diagram shows all the measures: 28°, x - 4° , and 2x

So add them up, set equal to 180 and solve for x. Combine like terms and subtract 24 from both sides of the equation. Divide both sides by 3. x = 52

Answer:

Step-by-step explanation:

Ask Siri

Answer:

Step-by-step explanation:

Answer:

by how i was taught its 2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Solve for x, divide both sides by 3yz:

Correct choice is C

Answer:

The answer is 16/10 or 1.6

Step-by-step explanation:

I'm guessing Scott bought 16 ton of rocks for this question since the question was written weirdly.

We know that Scott will share his 16 ton of rocks with 9 neighbors and himself.

Which means that the answer is 16/10 because Scott is gonna divide his 16 ton of rocks with 10 people. (9 neighbors and himself)

Hope this helps! :)

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Supplementary means that the angles together equal 180°

So we simply do 180 - 28 = 152°

Hope this helps!

Answer:

I don't get what you're asking.

Do you want me to solve for x? :D

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)[tex]e^{.015*t}[/tex]

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = [tex]e^{.015*t}[/tex]

ln A/500 = ln[tex]e^{.015*t}[/tex]

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!

Answer:

103

Step-by-step explanation:

180-77=103

Answer:

so 2/3X 3/5 + 3

10 + 9 / 15 by LCM method

so 19/15 + 3 = 19/15 + 45/15 = 64/15

hope it helps

Step-by-step explanation:

Answer:

3 2/5

Step-by-step explanation:

2/3 (3/5) + 3

Multiply

6/15 + 3

Reduce fraction

2/5 + 3 = 3 2/5

Answer:

scalene triangle

Step-by-step explanation:

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

the fourth image

Step-by-step explanation:

y + x + 3 = 0

y = -x - 3

meaning slope = -1

and y-intercept is -3

answer: image attached

because they all look similar, it is the one that moves exactly one block per unit

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

Step-by-step explanation

F u

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

https://brainly.com/question/13391706

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Answer:

What do you mean by that?

Step-by-step explanation:

Answer:

Is there more to the question? or a link/ picture you forgot to add?

Step-by-step explanation:

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

I got a 100% on my mastery test

Step-by-step explanation:

First we need to isolate the y, by dividing -4 on both sides. This will give you y = 1/4x - 5.

Now you can properly graph the equation:

Since -5 is the y-intercept (the point in which the line intercepts the y-axis), we will place our first point at (0,-5) on the graph.

In order to find the next point, we will use the slope of the line and do rise/run. So we will go upwards 1 unit and to the right 4 units.

(Image of graph will be attached above⤴⤴⤴)

Hope this helps you :)

Answer:

Answer:GCF: y^4

Step-by-step explanation:

Factors of:

y^4= (y) (y) (y) (y) = y^4 (1)

y^5 = (y) (y) (y) (y) (y) = y^4 (y)

y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)

Answer:

Answer: 14

Step-by-step explanation:

[tex]{ \rm{3 + 6 \times (5 + 4) \div 3 - 7}} \\ \\ = { \rm{3 + (6 \times 9) \div 3 - 7}} \\ \\ = { \rm{3 + (54 \div 3) - 7}} \\ \\ = { \rm{14 }}[/tex]

Answer:

$1,577.50

Step-by-step explanation:

25+3.4+6.1+1.4+1= 36.9%

2,500*0.369 = 922.5

2500-922.5= 1577.5

Answer:

=$114.750

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

n= 2.9

1:2.9

Step-by-step explanation:

Divide by 15 on both sides

15 divided by 15 is 1

43 divided by 15 is 2.8666666666=>

It states "Give any decimals in your answer to 1 d.p.

Mean we round it to one decimal place

so it is 2.9

Thus the answer for n is 2.9

Hope this helps!

Answer: 3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Step-by-step explanation: