45. A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs. Find the total number of logs in the pile.

Answers

Answer 1
The total number of logs is 255. You have to add up every number from 10 to 24.
Answer 2

The total number of logs in the pile will be 255.

What is the sum of an arithmetic sequence?

Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

S = (n / 2)[a₁ + L]

S = (n/2) [2a + (n − 1) d]

A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs.

The common difference is negative 1.

Then the nth term of the arithmetic sequence is given as,

10 = 24 + (n - 1) x (-1)

n - 1 = 14

n = 15

Then the total number of logs in the pile will be

S = (15/2) [24 + 10]

S = 7.5 x 34

S = 255

The total number of logs in the pile will be 255.

More about the sum of arithmetic sequence link is given below.

https://brainly.com/question/25749583

#SPJ5


Related Questions

Pls help me i need a correct amswer

Answers

Answer:

9

Step-by-step explanation:

I think

b = base

h = height

A = hb / 2

A = (3*6) / 2

A = 18 / 2

A = 9 units2

A train travels at an average speed of 80 km/h. How long will it take the train to travel 320 km?

Answers

4 hours to be exact. 32 divided by 8 is 4

Answer:

4 hours

Step-by-step explanation:

If the train travels at ~80 kilometers per hour, you just divide the total distance (in this case, 320 kilometers) by the speed traveled (80 kilometers). 320/80 = 4 hours.

HELP P L Z
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

Answers

Answer:

one expression equals 5 when so substituting 2for x and the other equals 9 because the expression are not equal.

Hope this helps  

Find the surface area of the pyramids

Answers

first one:

The surface area of a pyramid can be found using the formula:

Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area

Since the side lengths of the base are equal, the perimeter of the base is:

Perimeter of Base = 4 x Side Length

Perimeter of Base = 4 x 9 = 36 feet

To find the slant height, we can use the Pythagorean theorem:

Slant Height^2 = Height^2 + (1/2 x Side Length)^2

Slant Height^2 = 12^2 + (1/2 x 9)^2

Slant Height^2 = 144 + 20.25

Slant Height^2 = 164.25

Slant Height = 12.81 feet

The base area can be found using the formula for the area of a square:

Base Area = Side Length^2

Base Area = 9^2 = 81 square feet

Plugging in the values into the formula for surface area:

Surface Area = (1/2) x 36 x 12.81 + 81

Surface Area = 218.16 square feet

So the surface area of the pyramid is 218.16 square feet.

second one:

The surface area of a pyramid can be found using the formula:

Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area

Since the side lengths of the base are equal, the perimeter of the base is:

Perimeter of Base = 4 x Side Length

Perimeter of Base = 4 x 8 = 32 meters

To find the slant height, we can use the Pythagorean theorem:

Slant Height^2 = Height^2 + (1/2 x (Side Length1 + Side Length2))^2

Slant Height^2 = 3.5^2 + (1/2 x (8 + 4))^2

Slant Height^2 = 12.25 + 36

Slant Height^2 = 48.25

Slant Height = 6.94 meters

The base area can be found using the formula for the area of a square:

Base Area = Side Length^2

Base Area = 8^2 = 64 square meters

Plugging in the values into the formula for surface area:

Surface Area = (1/2) x 32 x 6.94 + 64

Surface Area = 107.52 square meters

So the surface area of the pyramid is 107.52 square meters.

Explain and Answer!!!!

Answers

Divide the arrow into upper triangle and lower rectangle

area of triangle :-

[tex] \frac{1}{2} \times base \times height[/tex]

[tex] \frac{1}{2} \times 20 \times (15 + 8 + 8) \\ \frac{1}{2} \times 20 \times 31 = 310[/tex]

area of rectangle :-

[tex]length \: \times \: width \\ 15 \times 20 = 300[/tex]

add both the area :-

area of triangle+ area of rectangle = area of arrow

310 + 300 = 610 cm²

PLEASE HELP ASAP
Please find the area of these two!!!!

Answers

Answer:

36,800

25
__________________________________________________________

Step-by-step explanation:

~This is how I usually do this normally.~

~4 x 5 x 10 x 23 x 8 = 36,800~

~5 x 5 = 25~

~Hope this helped!~

Answer:

I believe the first one is 125 cm squared and the second one is 175

Step-by-step explanation:

Pls tell me if I am wrong

Hope this helped ~( ̄▽ ̄)~

37. Three married couples have purchased tickets for a play. Spouses are to be seated next to each other, and the six seats are in a row. In how many ways can the six people be seated?

Answers

48

1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2

3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4

5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6

6 x 4 x 2 = 48

OR 3 couples possible arrangements 3 x 2 x1 = 6

each couple 2 possible 2 x 2 x 2 = 8

therefore 6 x 8 = 48

ill give brainly but hurry

Answers

Answer: I beileve its skewed left after all most of the dots are on the left

Step-by-step explanation:

Answer:

This looks like a skewed right plot.

The following figures are similar. Find the value of x.

PLEASE HELP I CURRENTLY HAVE AN F BUT I WONT ANYMORE IF YOU HELP ME

(If you can help me with my Graphing Coordinations question please do!)

Answers

Answer:

x = 10

Step-by-step explanation:

Both obects are similar right. That means that they must have similar angles, similar sizes and similar scale factors.

For me by just looking at the figires I can conclude a similar scale factor which is 1.7. However we are going to calculate the scale factor.

First we must take notice that the triangle D'E'F' is an enlargement. So to find the scale factor we must the same sides of both triangle and divide the larger sid by the smaller side.

68 ÷ 40 = 1.7

Now that we have the scale factor (1.7) we can now find x.

The similer side D'F' = 17 and DF = x.

We are gonna use the scale factor to divide D'F' to find DF.

17 ÷ 1.7 = 10

Therefore x is 10

HELP PLEASE I NEED IT TO FINISH THIS ASSIGNMENT

Answers

Answer:

D. 1 3/4

Step-by-step explanation:

The answer is D, or 1 3/4.

Explanation:

2 = 8/4
8/4 - 1/4 = 7/4
7/4 = 1 3/4

Help me with this question please! how can you use multiplication to solve system of equations with the linear combination method? Edge answer please, Thank you!

Answers

Answer:

Put both equations into standard form (Ax+By=C).

Multiply one or both of the equations by a number so that you will have opposite coefficients on the same variable.

Add the two equations together. Add the x's, the y's, and the numbers.

Solve for the variable.

Take your answer from the last step and plug it into of the equations (pick the one that looks easiest).

Your solution will be in the form of a coordinate point (x,y).

Step-by-step explanation:

Susan is buying 5 and a half pies from the market. Write this amount as a mixed number, improper fraction, decimal and percent.

Answers

Mixed Number:

[tex]5\frac{1}{2}[/tex] or 5 1/2

Improper fraction:

2x5+1=11

[tex]\frac{11}{2}[/tex] or 11/2

Decimal:

5.5

5.5 because 5 is whole number, and then, 5 tenths because 5 is half of 10.

Percent:

1 whole = 100%

100% x 5 = 500%

500% + 50% (1/2) = 550%

550%

5 1/2
11/2
5.5
550%

I hope this helped :)

53 POINTS and brainly
Which data set contains an outlier?


{6.1, 6.8, 7.3, 8, 9.1, 9.5}

{14, 15, 16, 20, 22, 25, 51}

{30, 31, 31, 32, 34, 37}

{11, 12, 12, 12, 13, 13, 14, 14}

Answers

The second data set because it contains 51 which is much higher than than the other numbers
The second set because 51 is way to high to be in the same group as the other numbers in that set

given the function f(x) = x2 - 4 + 3, what is the output of f(-3)?

x2(second power)
A). 24
B). 21
C). 0
D) -3

Answers

Answer: 0

Step-by-step explanation:


Brainly patrol pls don’t delete

f(-3) means substitute x = -3 to the function:
f(x) = x^2 - 4x + 3
f(-3) = (-3)^2 - 4(-3) + 3
f(-3) = 9 + 12 + 3
f(-3) = ?
So wouldn’t it be A 24?

-(-9)_l-9l is it grater than or less than or eqaul to?

Answers

Answer:

Equal to

Step-by-step explanation:

Hello!

Let's simplify the left side:

- ( -9 )           9

Remember that the negative sign also means opposite, so the opposite of negative 9 is positive 9.

Let's simplfy the right side:

| - 9 |9

Remember that in an absolute value bracket, any positive value stays positive, but any negative value turns to the positive value.

So the inequality is 9 _ 9

Therefore the sign should be "=" as 9 is equal to 9.

They are equal. A negative of a negative -(-x) is equal to an absolute value equation |-x|

Can someone please help me asap!

Answers

the first on on top is six hundred eighty six and nine hundred seventy one thousandths

19. In a "TriboNcci" sequence, each number after the third number is the sum of the preceding three numbers. For example, if the first three numbers are 5,6, and 7 , then the fourth number is 18 because 5 + 6 + 7 = 18, and the fifth number is 31 because 6 + 7 + 18 = 31. The first five numbers of another TriboNcci sequence are P, Q, 86, 158, and 291 in that order. What is the value of P ?

Answers

Answer: each number after the third number is the sum of the preceding three numbers. For example, if the first three numbers are 5, 6, and 7, then the fourth number is 18 because 5 + 6 + 7 = 18 and the fifth number is 31 because 6 + 7 + 18 = 31.

Step-by-step explanation:

im not good with math

Answers

Answer:

59°

Step-by-step explanation:

The total of all the angles in a triangle should amount to 180°. So:

64° + 57° = 121°

180° - 121° = 59°

Answer: 121

First you need to find the angle of the third unknown space within the triangle. To do this, add 57 and 64. The answer to this is 121. Then, subtract 121 from 180. The answer to this is 59. Now that you know the unknown angle within the triangle, subtract 59 from 180 to find the measure of angle 1.

What is the ratio of black circles to white circles?

5:3

3:5

3:2

2:3

Answers

Answer:

Your answer is: 3:2

Step-by-step explanation:

You can see this because there are 3 black circles shown, and 2 white circles.

Since it goes from black to white you first do black which is 3, then to white which is 2.

Meaning you answer is:

B: 3:2

The ratio is 3:2
First count the black circles
Then count the white circles

Since it says black circles to white circles, the number of black circles go first then the number of white circles.

So you should get a ratio of 3:2

5/3=t/6

find the value of "t"

Answers

Answer:

[tex]t = 10[/tex]

Step-by-step explanation:

Step 1:  Cross Multiply

[tex]\frac{5}{3} = \frac{t}{6}[/tex]

[tex](5 * 6) = (3 * t)[/tex]

[tex]30 = 3t[/tex]

Step 2:  Divide both sides by 3

[tex]\frac{30}{3} = \frac{3t}{3}[/tex]

[tex]10 = t[/tex]

Answer: [tex]t = 10[/tex]

T = 10

Steps:

1st: cross multiply
2nd: multiply both sides by 3

Assessment started: undefined.
Item 1
What is the absolute deviation of 30 in this data set?

{26, 35, 27, 30, 22}

2

3

5

8











Assessment navigation

Answers

Answer: The answer is 2

Step-by-step explanation:

I took the k12 test. If I'm right please mark brainliest!

The absolute deviation is 5

Which linear function models the line on the graph?

Answers

Answer:

y = -2/3x + 20

Step-by-step explanation:

Two things we notice about the graph :

Y-intercept is 20Slope is negative

According to the options, feature 1 is incorrect in options 1 and 4, and feature 2 is incorrect in option 3.

Hence, the correct option is :

y = -2/3x + 20

I don’t know if this is still needed but answer is B!

PLEASE NEED HELP RIGHT NOWW
(giving 20 points)

Answers

Answer:

Part b is 80?

Step-by-step explanation:

i have no idea how i got this answer but yeah i just did math

calculate the volume of the following figure​

Answers

Answer:

24 Units Cubed

Step-by-step explanation:

Start with the face of your 3D shape, which has a length/width of 3 units and a height of 4 units. Then look at the visible side of your figure, in this case it is the right side. You can see it's width/length of 2 units, so multiply 4x3x2, and in this case 4x3=12 and 12x2 is 24. making your answer 24 units cubed.

Answer:

24

Step-by-step explanation:

A=L×B×H

4×3×2

24UNITS^2

35. Refer to Example 3. How many hands will have exactly three kings?

Answers

i think this will help u out

Please help!

A net of a rectangular prism is shown below. The surface area of each face is labeled.
Problem
Which values represent the dimensions, in meters, of the rectangular prism?

A.3, 4, 10
B. 12, 30, 40
C. 2, 6, 8
D. 2, 5, 6

Answers

Answer:

b i think

Step-by-step explanation:

because if you make it into a prism, the dimensions are basically the same

Which equation shows a proportional relationship between x and y?

Answers

Y= 1x is the correct answer

Find the radius of the circle with the given diameter.
1. 10 inches

Answers

Answer:

5 inches

Step-by-step explanation:

the diameter is just Rx2 (R being the radius)

and the radius is D divided by 2 (D is the diameter)

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.

Answers

Answer:

length is 6

width is 24

width is 36

Step-by-step explanation:

sorry its late

Janice drew one card from a standard deck of 52 cards. What fraction of the deck of cards is red?
A. 1/3
B. 1/2
C. 3/4

Answers

26/52 cards is red so that would be B.1/2

Answer:

b. 1/2

Step-by-step explanation:

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