Answer:
To calculate the ground bearing pressure under the crawler track of a crawler crane, you need to know the following information:
The weight of the crane (including the weight of the counterweight if present)
The maximum load capacity of the crane
The number of tracks on the crane
The track width of the crane
The length of the track contact area
Once you have this information, you can use the following formula to calculate the ground-bearing pressure:
Ground Bearing Pressure = (Crane Weight + Maximum Load Capacity) / (Number of Tracks x Track Width x Length of Track Contact Area)
For example, if a crawler crane weighs 50 tons and has a maximum load capacity of 100 tons, and it has two tracks with a track width of 1 meter and a length of the track contact area of 2 meters, the ground bearing pressure would be:
Ground Bearing Pressure = (50 + 100) / (2 x 1 x 2) = 75 tons/m2
If the lifting pressure on the track during operation is 85 tons/m2, the crane should not be used in that area as it will exceed the maximum safe ground bearing pressure. Also for the example, the answer is 2.1765 m².
Step-by-step explanation:
To calculate the ground bearing pressure under the crawler track of a crawler crane, divide the weight exerted by the crane by the surface area of the track in contact with the ground. Use the given pressure value to determine the weight and then divide by the surface area.
Explanation:To calculate the ground bearing pressure under the crawler track of a crawler crane, you need to divide the total weight exerted by the crane by the surface area of the track that is in contact with the ground. Given that the pressure during lifting is 85 tons/m2, you can use this value to determine the weight exerted by the crane. Divide the weight by the surface area to find the ground bearing pressure.
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(1 point) An innovative rural public health program is reducing infant mortality in a certain West African country. Pretend the program in Senegal has been reducing infant mortality at a rate 7.3 % per year. How long will it take for infant mortality to be reduced by 33 %
Answer:
Infant mortality will reduce to 33% in 1.63 years
Step-by-step explanation:
Let the population be X
Population after 1 year
\(X - 7.3\) % of \(X\)
\(X -0.073 X\\0.927X\)
As we know
\(P = P_0 * e^{rt}\)
Substituting the given values we get -
\(\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\\)
Taking log on both sides we get -
\(-0.20273 = -0.33 * t\\t = 1.627\)
You can form a general expression for resultant reduction percentage after t years. Then equate it with 33% to get the value of t
The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
How to find a general expression for resultant reduction percentage after t years?The rate of decrement for infant mortality rate is 7.3% per year.
Let the mortality rate in the start be \(r\)
Then after 1 year it becomes
\(r - \dfrac{r}{100} \times 7.5 = r(1-\frac{7.5}{100}) = r_1 \text{\: (say)}\)
After 1 more year, we will have:
\(r_1 -> r_1(1 - \frac{7.5}{100}) = r(1-\frac{7.5}{100})(1-\frac{7.5}{100}) = r(1-\frac{7.5}{100}) ^2 = r_2 \text{\: (say)}\)
Thus, after t years, we will have:
\(r_t = r(1-\frac{7.5}{100})^t\)
Simplifying it, we get:
\(r_t = r(1 - 0.075)^t = r(0.925)^t\)
The percent of decrement can be calculated by:
\(p = \dfrac{\text{old rate - new rate}}{\text{old rate}} \times 100\)
Thus,
the percent of decrement after t years will be
\(p = \dfrac{r - r_t}{r} \times 100 = \dfrac{r(1- (0.925)^t)}{r} \times 100 = 100(1-0.925^t)\\\\p = 100(1-0.925^t)\)
We need the time after which the infant mortality rate would be reduced by 33%, thus, p = 33%
or
\(p = 33\\p = 100(1-0.925^t) = 33\\1 -0.925^t = \dfrac{33}{100}\\t = log_{0.925}(1 - \dfrac{33}{100}) \approx 3.3525\)
Thus, after approx 3.35 years, the mortality rate would decrease by 33%
Thus,
The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.
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A =1/2(p+q)h , make 'p' the subject of the formulae
Step-by-step explanation:
2A = ph+qh
2A-qh = ph
(2A-qh)/h = ph/h
p = (2A - qh)/h
Select the correct answer.
The function f is given by the table of values.
x 1 2 3 4
f(x) 5 7 11 19
If f(x) is shifted 5 units down to obtain g(x), which table of values represents the function g?
Therefore Table 1 represents the function g(x) obtained by shifting f(x) 5 units down.
To shift a function f(x) 5 units down, we need to subtract 5 from the y-values of f(x) or add a constant -5 to the function. This means that the new function g(x) will be f(x) - 5. In other words, we take the table of values for f(x) and subtract 5 from each of the y-values to get the new table of values for g(x).Let's take a look at the given tables of values and see which one represents the function g(x) obtained by shifting f(x) 5 units down.
Table 1: From this table, we can see that when x = 2, f(x) = 5. If we subtract 5 from this value, we get 0, which is the correct value of g(2). Similarly, when x = 3, f(x) = 7. If we subtract 5 from this value, we get 2, which is the correct value of g(3). Therefore, this table represents the function g(x) obtained by shifting f(x) 5 units down.
Table 2: From this table, we can see that when x = 0, f(x) = 1. If we subtract 5 from this value, we get -4, which is not the correct value of g(0). Therefore, this table does not represent the function g(x) obtained by shifting f(x) 5 units down.
Table 3: From this table, we can see that when x = -2, f(x) = -3. If we subtract 5 from this value, we get -8, which is not the correct value of g(-2). Therefore, this table does not represent the function g(x) obtained by shifting f(x) 5 units down.
Table 4: From this table, we can see that when x = 5, f(x) = 0. If we subtract 5 from this value, we get -5, which is not the correct value of g(5). Therefore, this table does not represent the function g(x) obtained by shifting f(x) 5 units down.In conclusion,
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There are 36 students on the debate team at a school. There are 6 seniors, 12 juniors,
10 sophomores, and 8 freshmen on the team. The coach is going to select 4 students at random to participate in
the next debate. Calculate the probability that all 4 students are sophomores.
O 0.0036
O 0.0060
O 0.0084
O 0.2778
A
0.0036
Bsshsjsjsjsnsn
Answer:
A 0.0036
Is correct
ED2021
A paperwight has height of 4cm and a volume of 38.4 cubic cm.
The calculated base area of the paperweight is 9.6 square cm.
Calculating the base areaTo calculate the base area of the paperweight, we can use the formula for the volume of a three-dimensional object:
Volume = Base area x Height
In this case, we know that the height of the paperweight is 4cm and the volume is 38.4 cubic cm.
So we can rearrange the formula and solve for the base area:
Base area = Volume / Height
Substituting the values we have:
Base area = 38.4 cubic cm / 4cm
Base area = 9.6 square cm
Therefore, the base area of the paperweight is 9.6 square cm.
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Jessica needs to know how much water her new fish tank can hold:
A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.
Determine the total volume of the fish tank.
The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
The volume of a rectangular prism can be calculated using the formula:
V = l x b x h..........(i)
where,
V ⇒ Volume
l ⇒ length
b ⇒ width
h ⇒ height
From the question, we are given the values,
l = 8 inches
b = 4 inches
h = 9 inches
Putting these values in equation (i), we get,
V = 8 x 4 x 9
⇒ V = 288 in³
Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
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18. Find the present value of a deferred annuity of ₱ 30,000.00 at the end of every year for 10 years. The first payment of a mother will be done at the end of the second year, and the money is compounded at 3% annually. a. ₱ 244,354.12 b. ₱ 248,452.51 c. ₱ 278,520.14 d. ₱ 291,245.18
Answer:
₱ 248,452.51
Step-by-step explanation:
₱ 248,452.51
Math geometry,
GIVEN
The SSS congruence theorem is used to prove that triangles MAH and THA are congruent to each other. See proof below.
How to Apply the SSS Congruence Theorem?"SSS" stands for side-side-side congruence theorem, which says that given the criteria that two triangles both have three corresponding sides that are equal or congruent to each other, both triangles are congruent.
The proof below shows how we can apply the SSS to prove that triangles MAH and THA are congruent to each other.
Statement Reason
1. MA ≅ TH 1. Given
2. MH ≅ AT 2. Given
3. AH ≅ HA 3. Reflexive property of congruence
4. ΔMAH ≅ ΔTHA 4. SSS congruence theorem
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Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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Area of composite shapes, There is a pair of parallel sides in the following shape.
What is the area of the shape?
The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².
What does mathematicians mean by area?Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.
The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.
So, 1/2 * ( 9+5) * 3
= 1/2 * 14 * 3
= 1/2 * 42
= 21 cm²
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Sound waves travel through the air at approximately 343 meters per second. A tuba player plays a constant note that has a wavelength of 4.61 meters.
Determine the period of the sound wave created by the tuba in seconds.
The period of the sound wave created by the tuba is approximately 0.0134 seconds.
The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:
v = λ × f
Where:
v = speed of sound (343 m/s)
λ = wavelength (4.61 m)
f = frequency (unknown)
To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:
v = λ / T
Rearranging the equation to solve for the period (T), we get:
T = λ / v
Substituting the given values, we have:
T = 4.61 m / 343 m/s
Calculating the value, we find:
T ≈ 0.0134 seconds
Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.
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Check all solutions to the equation. If there are no solutions, check 'None."
x² = 64
Bryan drew a triangle with vertices at (4,1), (1, 3), and (2,-3). He slides the triangle 3 units to the left to create an image. What are the vertices of the image?
Which of the following names of geometric objects does The order of letters not matter
9514 1404 393
Answer:
B. line AB
Step-by-step explanation:
The terminal point must be named first when naming a ray.
The vertex must be named in the middle when naming an angle.
The order of points does not matter when naming a line.
my teacher is asking what is 4 cubed and the options are \(3^{3}\) , \(3^{3}\) > 12 , \(4^{3}\) , and 3-4 please help !
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Answer:
The range of values from one job is between $50 and $650.
Step-by-step explanation:
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.
This means that his earnings in a job can be modeled by the following function:
\(y = 30x + 50\)
The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Minimum, he works 0 hours, and earns:
\(y(0) = 30(0) + 50 = 50\)
Maximum, he works 20 hours, and earns:
\(y(20) = 30(20) + 50 = 650\)
The range of values from one job is between $50 and $650.
convert 5/4 into a decimal
Answer:
Step-by-step explanation:
The answer is 1.25
$10 less than the amount of the service charge
Nick tried to evaluate 42 x 36 using partial products. His work is:42 X 36Step 1: 1.200 = 30 x 4 tensStep 2: 600 = 30 x 2 tensStep 3: 240 = 6 x 4 tensStep 4: 12 = 6 x 2 onesStep 5 2,052Find Nick's mistake.
In order to calculate a partial product, we need to separate each digit from each number, then we multiply them similar to the distributive property:
\(\begin{gathered} 42=40+2 \\ 36=30+6 \\ 42\cdot36=(40+2)\cdot(30+6)=40\cdot30+40\cdot6+2\cdot30+2\cdot6 \end{gathered}\)The mistake in Nick's steps was made in Step 2, where he multiplied 30 by 2 tens, that is, 30 by 20, resulting in 600. The correct product in this step should be 30 by 2 ones, that is, 30 by 2, resulting in 60.
The ratio of books to magazines at Jessica’s house is 5:3. If there are 21 magazines at Jessica’s house, how many books are there?
Answer:
There are 35 books
Step-by-step explanation:
I hope this HELP! :)
Cual es el perímetro de un rectángulo si tiene 20 de largo y 11 de ancho?
The perimeter of the rectangle is 62 square units.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be calculated using the formula:
P = 2(L + W)
Where:
L is the length of the rectangle
W is the width of the rectangle
We have:
L = 20 units
W = 11 units
Substituting into the formula:
P = 2(20 + 11)
P = 2(31)
P = 62 square units
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Question in English
What is the perimeter of a rectangle if it is 20 long and 11 wide?
5. Which of the following is a function?
A. (1,7), (2,14), (3, 21), (1, 28)
B. (0, A), (5, B), (10, C), (15, D), (5, E)
C. (-5,1),(-10,1),(-15, 1), (-20,1),(-15,1)
D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)
Answer:
D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)
Hope this helps!
Mary has 115 books that need to be shipped. She packs the books in boxes. Each box holds 17 books. How many boxes will she need?
Answer:7 boxes
Step-by-step explanation:
She has 115 books which each box hold 17 so 115/17 is 6. Something so you have to round it to 7 to be able to fit them all
2) Ayanda wants to invest R200 000. The bank offers him 2 options for his
6 year investment.
Option 1: 12% Simple interest p.a.
Option 2: 9,5% Compound interest p.a.
4.2.1) Calculate the return on Ayanda's investment using Option 1.
●
●
4.2.2) Calculate the return on Ayanda's investment using Option 2.
4.2.3) Which option will render the most money?
Answer:
4.2.1) R140 000
4.2.2) R144 758.28
4.2.3) Option 2
Step-by-step explanation:
To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 12% = 0.12t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000 \cdot 0.12 \cdot 6\)
\(I=24000 \cdot 6\)
\(I=144000\)
Therefore, the return on Ayanda's investment using Option 1 is R144000.
\(\hrulefill\)
To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 9.5% = 0.095t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000(1+0.095)^6-200000\)
\(I=200000(1.095)^6-200000\)
\(I=200000(1.72379142...)-200000\)
\(I=344758.28426...-200000\)
\(I=144758.28426...\)
\(I=144758.28\)
Therefore, the return on Ayanda's investment using Option 2 is R144758.28.
\(\hrulefill\)
Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.
Help me solve this!!!
Answer:
54°
Step-by-step explanation:
Let ∠CYX=x
AB║CD
∠AXE=∠CYX (corresponding angles)
∠AXE=3∠CYX-108
x=3x-108
3x-x=108
2x=108
x=108/2=54°
∠AXE=∠CYX=x=54°
∠BXY=∠AXE=54° (Vertically opposite angles)
Halla la suma de 3, ocho veces un número, y tres veces el mismo número
Answer:
3 + 11x
Step-by-step explanation:
Nuestra ecuación será: 3 + 8x + 3x
No sabemos qué es x, así que simplemente sumamos términos semejantes y obtenemos 3 + 11x
Espero que esto haya ayudado, por favor marque lo más inteligente, ¡gracias!
HELP ME
When graphing the function fx)= x ²-81/x²-11x+18 on your graphing calculator, what is the most appropriate
viewing window for determining the domain and range of the function?
Xmin: -10, Xmax: 10
Ymin: –10, Ymax: 10
Xmin: -5, Xmax: 5
Ymin: –5, Ymax: 5
Xmin: 0, Xmax: 10
Ymin: 0, Ymax: 10
Xmin: -10, Xmax: 0
Ymin: –10, Ymax: 0
The most appropriate viewing window for determining the domain and range of the function f(x) = (x^2 - 81)/(x^2 - 11x + 18) would be:
Xmin: -10, Xmax: 10
Ymin: -10, Ymax: 10
This window allows you to see a wide range of x-values and y-values, giving you a comprehensive view of the graph and helping you determine the domain and range of the function accurately.
Ms. Sheppard cuts 1/2 of a piece of construction paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does she used to make flower?
Answer:
1/12
Step-by-step explanation:
An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.
Answer:
486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3
Step-by-step explanation:
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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