Answer:
7
Step-by-step explanation:
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.
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.
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FInd the area of the parallelogram. 14.3 cm. 12 cm. 18.4 cm.
Mark burns 51 calories when he plays volleyball for 15 minutes. At this rate, how fast is Mark burning calories?
Brainliestt help please
Find a common denominator and then subtract and simplify your answer.
8/9 - 2/3
A.4/9
B.3/9
C.2/9
Answer:
c 2/9
Step-by-step explanation
Use the figure to answer the following question.
What is the area of the figure? (Round to the nearest hundredth.)
Use the figure to answer the following question. What is the area of the figure? (Round to the nearest hundredth.)
Brainliest!!!
Find the lowest common denominator for these fractions and then add and simplify.
5/7 and 2/14
A.8/9
B.6/7
C.7/8
Answer:
LCD=14 B. 6/7
Step-by-step explanation:
5/7 x 2
10/14
10/14 + 2/14=12/14
12/14 divided by 2=6/7
A pattern increases by 3. List three possible nth terms for such a pattern that each include a decimal constant. I will brainliest the best answer
Answer:
an=3n (A1=3)
an=3n+3 (a1=6)
an=3n-3 (a1=0)
Select each equation that matches the description. You will not use all the equations.
Option 1: b-0.15b=0.85b
Option 2: 2n+3n=5n
Option 3: b+0.15b=0.85b
Option 4: x+0.15x=1.15x
Option 5: 2n-3n=5n
Option 6: a+a=2a
Answer:
option 2 and I think 6
Step-by-step explanation:
I do not know about 6 but for sure 2
A plumber can install the pipes in a bathroom in 4 hours. A different plumber needs 5 hours to do the same job. If both plumbers work together, how many hours will it take to install the pipes?
A. 1
B. 2 2/9
C. 3 1/2
D. 4 1/2
Answer:
it would be 3 1/2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If you add 4+5=9 and then divide 9÷2, ( 2 is the number of digits you used) then the answer would be 4 1/2
if you remove one red marble from the bag and add one blue marble , what fraction of the marbles are blue?
Answer:
This depends on how many blue and red marbles there are in total.
Answer:
D) 2/3
Step-by-step explanation:
If you remove 1 red marble then there is 1 marbles left red.
If you add a blue marble then there is 4 blue marbles.
So it is 4/6 and when you simply it is 2/3.
Select the correct response for each blank.
Choose...
A. Adenine
B. Phosphate
C. Uracil
and
Choose...
A. Deoxyribose sugar
B. Hydrogen bond
C. Nitrogenous base
form the sides (backbone/handrails) of the DNA ladder.
Answer:
a,b
Step-by-step explanation:
Determine whether each mathematical statement is true or false. The answer choices on the right may be used more than once.
50 points. please just help
Answer: count how many yes and then count all of them then put the yes over the nos
Step-by-step explanation:
Danielle is writing an equation to find the length of the third side of the right triangle. Find her mistake and correct it.
Find the surface area of the triangular prism (above) using its net (below).
whats the answer to this
Answer: About 9.2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem. We are solving for the hypotenuse which is the "c" variable in the formula.
a² + b² = c²
7² + 6² = c²
7² + 6² = c²
49 + 36 = c²
85 = c²
[tex]\sqrt{85}[/tex] = c
9.2 ≈ c
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answer: $37.8
Step-by-step explanation: To find the cost of the supplies we multiply $54 by .3 (the decimal version of 30%). The total is 16.2 . If we subtract this from the total amount we find the cost of the cleaning service. 54-16.2 = 37.8
Harper wants to put wood shavings in her rabbit's cage. The floor of the cage measures 1 yard wide by 6 feet long. One bag of shavings cover 10 square feet.
How many bags will Harper have to buy to cover the floor of the cage? Explain
Harper will have to buy _____ bag(s) to cover the floor because the area of the floor is _____ square foot/feet.
Help please :-(
Answer:
she would need 2 bags because it is 18 but covers 10 square feet
Step-by-step explanation:
Width = 1 yard = 3 feet
Length = 6 feet
Square feet(area) of the floor = 6ft × 3ft = 18sqft
1 bag = 10sqft
x bag = 18 sqft
x bags = (18 × 1)/10
= 1.8 bags
2 bags
please help (90 points)
if the mean is 5 and these are the numbers 4, 3, 4, 5, 6, 6, 8, 4 what is the mean absolute deviation
Answer:
1.25
Step-by-step explanation:
Finding deviation of each value
4 = |5 - 4| = 13 = |5 - 3| = 24 = |5 - 4| = 15 = |5 - 5| = 06 = |5 - 6| = 16 = |5 - 6| = 18 = |5 - 8| = 34 = |5 - 4| = 1Mean Absolute Deviation (M.A.D.)
Sum of deviations / Number of terms1 + 2 + 1 + 0 + 1 + 1 + 3 + 1 / 810/85/41.25Answer:
1.20
Step-by-step explanation:
4 = |5 - 4| = 1
3 = |5 - 3| = 2
4 = |5 - 4| = 1
5 = |5 - 5| = 0
6 = |5 - 6| = 1
6 = |5 - 6| = 1
8 = |5 - 8| = 3
4 = |5 - 4| = 1
- 5/6 x -6/7 x -4/5
- 4/5 x -5/8 x 8/9
and 3/4 x -8/9 x 3/10
simplify it
HELP PLEASE GIVING 30 POINTS
Answer:
the ladder is 5 ft from the base of the wall.
--
To find the unknown length, we need to use the Pythagorean Theorem
The Pythagorean Theorem is a²+b²=c²Since the legs are x and 12 this means that a=x and b=12
Also, since the hypotenuse is 13, this means that c=13.
Plug in a=x, b=12, c=13x²+12²=13²x²+144=169Subtract 144 from both sides.
x²=169-144Combine like terms.
x²=25Take the square root of both sides.
x=√25x=5 Simplify the square root.
Answer:
So the solution is x=5 which means that the foot of the ladder is 5 ft from the base of the wall.
The circumference of a circle is 50.24 meters.
What is the diameter, in meters? Use 3.14 for π and round to the nearest meter, if necessary.
30. Find the smallest positive integer j for which the statement is true. Use the extended principle of mathematical induction to prove that the formula is true for every integer greater than j .
n^{2} \leq 2^{n}
Answer:
n² ≤ 2ⁿ , ∀ n ≥ 4
Step-by-step explanation:
[tex]4^{2}=16 \leq16=2^{4}[/tex]
Then ,For n = 4 the inequality is true.
For n ≥ 4 , suppose n² ≤ 2ⁿ and prove that (n+1)² ≤ 2ⁿ⁺¹
(n+1)² = n² + 2n + 1
Since n² ≤ 2ⁿ (according to the hypothesis) and we know that 2n + 1 ≤ 2ⁿ
Then
(n+1)² = n² + 2n + 1 ≤ 2ⁿ + 2ⁿ
Then
(n+1)² ≤ 2ⁿ + 2ⁿ
Then
(n+1)² ≤ 2×2ⁿ
Then
(n+1)² ≤ 2ⁿ⁺¹
Conclusion:
n² ≤ 2ⁿ , ∀ n ≥ 4
please help asap 50 points given
Answer:
1/2
Step-by-step explanation:
# of diff numbers rolled: 6
#s less than four on cube: 1,2,3
3/6 or 1/2
What is the surface area of the green shapes?
Answer:
10
Step-by-step explanation:
4 x 5 ÷ 1/2 = 10
What is the approximate volume of a cylinder with a radius of 3 feet and a height of 4 feet?
You may use your formula sheet and a calculator.
Use 3.14 for π.
Question 2 options:
37.68 ft³
113.04 ft³
75.36 ft³
36 ft³
answer is 113.04 ft³
formula is
volume = pi times radius squared times height
3.14 times 3 squared times 4
3.14 x 9 x 4 =
Turtles can live a long time. This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
A box turtle and a map turtle escape from the reptile house of the Kalamazoo Zoo. The box turtle is older than the map turtle. The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape.
What is the age of the escaped box turtle?
Answer:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
The average age is 22 yrs
The sum of the ages is 440 yrs
When two of the turtles leave, the average is 21 yrs....and there are 18 turtles left
So....the sum of the ages is 21 * 18 = 378
And the difference in the sums is 62
The only two values that sum to 62 are 26 and 36
So.....the box turtle must have been 36 and the map turtle must have been 26
Step-by-step explanation:
The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:
(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26
The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.
To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.
Let's represent the age of the box turtle X. We can set up the equation:
(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25
We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475
Then we can add X to both sides to get:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X
This simplifies to:
X = 36
Therefore, the age of the escaped box turtle is 36 years.
To learn more about the stem-and-leaf diagram click here:
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Which is correct? Please help I can't figure it out
Answer:
1/2(n -10) = -4
Step-by-step explanation:
Understanding the given sentence as a math sentence requires that you first understand it as an English sentence.
Parsing the EnglishThe subject of the English sentence is "difference". We know that a difference in math is two values separated by a minus sign. Having understood that, we need to identify the two values involved.
The descriptor of "difference" in the English sentence is "of a number n and 10." This tells us the two values are "n" and "10". The first one listed goes on the left of the minus sign. So, the difference we're talking about is ...
(n -10)
The English sentence tells us that this difference is multiplied by 1/2. The math equivalent is shown as ...
[tex]\dfrac{1}{2}(n-10)[/tex]
When the English tells us the result of this operation, it means this value is equal to that result. We are told this value is equal to -4
Writing the equationWe now know the left- and right-sides of the equation being described in English. That means the equation described is ...
[tex]\dfrac{1}{2}(n-10)=-4[/tex]
CAN SOMEONE HELP ME ON THIS HOMEWORK
Answer:
A and C
Step-by-step explanation:
Mean and Median
p.s. I think
Write the equation for each translation of the graph of y=| 1/2x-2|+3
One unit to the left
one unit to the right
Answer:
Answer: for One Unit to the Left: |1/2 x -3/2|+3
Step-by-step explanation: When translating to the left, you are going to end up with f(x-(-1)) meaning x+1. Even though left means subtracting, in translation it’s adding. (I hope that made sense).
that would create the equation |1/2x(x+1)-2|+3
If you solve that, it would simplify to |1/2x-3/2| which is the answer
Step-by-step explanation: