Therefore , the solution of the given problem of rational numbers comes out to be 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.
What exactly is rational numbers?Any number that can be expressed as a ratio (not a portion) of two integers is considered rational. A reasonable fraction is one that has a nonzero denominator. 1/2, 1/5, but also 3/4 are a few examples of rational integers. "0" may additionally be expressed in a variety of forms as an actual function, like 0/1, 0/2, and 0/3. However, 1/0, 2/0, 3/0, etc. It makes logical that there are seven. When two parameters are divided, a rational number results.
Here,
We glance at the digit in the ones spot to round a number up to the nearest 10. In that case, we round down to the prior multiple of 10 if the digit is 0, 1, 2, 3, or 4. We round up to the following multiple of 10 if that number is 5, 6, 7, 8, or 9.
Finding numbers with a ones place digit between 5 and 9 will enable us to round to the closest 10 and arrive at 90. The figures that would round to 90 are as follows:
=>92
=> 95
As a result, 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.
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To help pay for culinary school, Keiko borrowed money from her credit union.
She took out a personal, amortized loan for $50,000, at an interest rate of 5.5%, with monthly payments for a term of 10 years.
For each part, do not round any intermediate computations and round your final answers to the nearest cent.
If necessary, refer to the list of financial formulas.
(a) Find Keiko's monthly payment.
$0
(b) If Keiko pays the monthly payment each month for the full term,
find her total amount to repay the loan.
$0
(c) If Keiko pays the monthly payment each month for the full term,
find the total amount of interest she will pay.
$0
X
If to help pay for culinary school, Keiko borrowed money from her credit union:
a. Keiko's monthly payment is $542.63.
b. The total amount to repay the loan is $65,115.60
c. The total amount of interest she will pay is $15,115.60
What is the monthly payment?(a) To find Keiko's monthly payment, we can use the formula for calculating the monthly payment for an amortized loan:
P = (r * A) / (1 - (1 + r)^(-n))
Where:
P =Monthly payment
A= loan amount
r = Monthly interest rate
n = Total number of payment
Plugging in the values for Keiko's loan, we get:
P = $50,000
r = 0.055 / 12 = 0.00458
n = 10 * 12 = 120
P = (0.055/12 * $50,000) / (1 - (1 + 0.055/12)^(-120)) = $542.63
(b) If Keiko pays the monthly payment each month for the full term, the total amount she will repay the loan will be:
Total amount = Monthly payment * Total number of payments
= $542.63* 120 = $65,115.60
(c) If Keiko pays the monthly payment each month for the full term, the total amount of interest she will pay will be:
Total interest = Total amount - Loan amount
=$65,115.60 - $50,000 = $15,115.60
So, Keiko will pay a total of $15,115.60 in interest over the 10-year term of the loan.
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The sum of two numbers is 37. If one of the numbers is greater by 1 than the two times the other, find the numbers.
For problems 7-12, consider the sets below, and indicate if each statement is true or false.
A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6} U = {numbers from 0 to 10}
7. 3 ∊ B 8. 5 ∊ C 9. B ⊂ A 10. C ⊂ A 11. C ⊂ B 12. C ⊂ U
Using the sets from above, and treating U as the Universal set, find each of the following:
13. A ⋃ B 14. A ⋃ C 15. A ⋂ C 16. B ⋂ C 17. A c 18. B c
The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U
13. A ⋃ B = {1, 2, 3, 4, 5, } 14. A ⋃ C = { 1, 2, 3, 4, 5, 6}
15. A ⋂ C = { 4 } 16. B ⋂ C = { }
17. [tex]A^{c}[/tex] = {6, 7, 8, 9, 10} 18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}
What are sets:
In mathematics, a set is a collection of distinct objects, which are called its elements or members. These objects can be anything - numbers, letters, people, animals, or other sets.
Sets are typically denoted using curly braces, and the elements of the set are listed inside the braces, separated by commas.
Here we have
A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6} and U = {numbers from 0 to 10}
=> U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
i. Indicate if each statement is true or false.
7. 3 ∈ B which means 3 belongs to set B
Since, set B = {1, 3, 5}
=> ∴ 3 ∈ B is true
8. 5 ∈ C which means 5 belongs to set C
The set C = {4, 6}
=> 5 ∈ C is false
9. B ⊂ A which means B is a subset of A and elements of B are belongs to set A.
Since elements of B are lies in set A
=> B ⊂ A is true
10. C ⊂ A which means C is a subset of A
Since all the elements of C are not lie in set A
=> C ⊂ A is false
11. C ⊂ B which means C is a subset of B
Since all the elements of C are not lie in set B
=> C ⊂ B is false
12. C ⊂ U which means C is a subset of U
Since all the elements of C are lies in U
=> C ⊂ U is true
13. A ⋃ B = {1, 2, 3, 4, 5} ∪ {1, 3, 5} = {1, 2, 3, 4, 5, }
14. A ⋃ C = {1, 2, 3, 4, 5} ∪ {4, 6} = { 1, 2, 3, 4, 5, 6}
15. A ⋂ C = {1, 2, 3, 4, 5} ⋂ {4, 6} = { 4 }
16. B ⋂ C = {1, 3, 5} ⋂ {4, 6} = { }
17. [tex]A^{c}[/tex] = The elements in the universal set but not in A = {6, 7, 8, 9, 10}
18. [tex]B^{c}[/tex] = The elements in universal set but not in B = {0, 2, 4, 6, 7, 8, 9, 10}
Therefore,
The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U
13. A ⋃ B = {1, 2, 3, 4, 5, } 14. A ⋃ C = { 1, 2, 3, 4, 5, 6}
15. A ⋂ C = { 4 } 16. B ⋂ C = { }
17. [tex]A^{c}[/tex] = {6, 7, 8, 9, 10} 18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}
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PLSS ANSWER QUICKLY ASAP
Answer:
the answer is A
hope it helps u
mark brainlist
Answer: D
As x Values-Decrease, the function increases toward positive infinity.
As the x values decreases, the function decreases towards y=-2
Step-by-step explanation:
It's a basic function that follows within the 2^x format. Where x-> infinity would mean that y-> infinity as well. However, since there was a translation within the y unit (hence the -2) the asymptote decreased by two.
So as the x unit increases, so does the y.
However, as the x unit decreases, the y decreases to -2.
7. A pot of water is heated to 200°F. The table shows typical temperature readings for the pot. The room temperature is 70°F.
After 5 minutes the pot of water is 164°F. How long will it take the water to cool to 150°F? Round to the nearest minute.
A. About 4 min
B. About 3 min
C. About 8 min
D. About 6 min
The amount of time it would take the water to cool to 150°F is: C. About 8 min.
How to find an equation of the line of best fit for the data?In this scenario, the time would be plotted on the x-axis of the scatter plot while the temperature would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the time and temperature, an exponential equation for the line of best fit is given by:
[tex]y = 192e^{-0.028x}[/tex]
When temperature y = 150°F, the value of x (in minutes) can be calculated as follows:
[tex]150 = 192e^{-0.028x}[/tex]
ln(150/192) = -0.028x
x = -0.24686007793/0.028
x = 8 mins.
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Yaritza has a collection of vintage action figures that is worth $320. If the collection
appreciates at a rate of 2% per year, which equation represents the value of the
collection after 5 years?
The end result of this equation is the value of the collection after 5 years. In this case, the total value would be V = 320(1.02)⁵ = 413.25.
What is exponential growth?Exponential growth is a pattern of growth that occurs when a base number is multiplied by a consistent number over a period of time. This type of growth is often seen in population growth, inflation, the money supply and other areas of mathematics. The growth rate of an exponential function increases over time, making it an important concept in mathematics, economics, and other fields.
This equation utilizes the concept of exponential growth, which is when a quantity increases at a rate which is proportional to its current value. In this case, the quantity is the value of the collection, and the rate of growth is 2% per year.
The equation can be broken down into its components in order to better understand what it is saying. The base value of the collection, 320, is represented by the first part of the equation, V = 320. The second part, (1.02)^5, represents the growth rate over 5 years. The 1.02 is the growth rate of 2% per year, and the 5 indicates that the growth rate will be compounded for 5 years. In other words, the rate of growth is applied to the original value, and then the resulting value is used as the new base for the growth rate to be applied again, and so on for 5 years.
The end result of this equation is the value of the collection after 5 years. In this case, the total value would be V = 320(1.02)⁵ = 413.25. This means that in 5 years, the collection would have appreciated to a total value of 413.25.
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What is the future value of a 10-year investment of $1200 at an APR of 7% compounded monthly?
Round to nearest cent
The future value of a 10-year investment of $1200 at an APR of 7% compounded monthly is $2366.84
what is compound interest ?
Compound interest is the interest earned on an initial deposit or investment, plus all the interest that has accumulated on it over time. It is interest calculated on both the principal amount and any interest earned from previous periods, which is added to the principal amount at the end of each compounding period.
[tex]FV = P * (1 + r/n)^{n*t}[/tex]
Where:
FV = Future Value
P = Principal or initial investment
r = Annual interest rate
n = Number of times interest is compounded per year
t = Time in years
According to the question:
In this case:
P = $1200
r = 7% = 0.07
n = 12 (compounded monthly)
t = 10
Plugging these values into the formula, we get:
[tex]FV = P * (1 + r/n)^{n*t}[/tex]
[tex]FV = 1200 * (1 + 0.07/12)^{12*10}[/tex]
[tex]FV = 1200 * (1.00583333)^{120}[/tex]
[tex]FV = 1200 * 1.97236812[/tex]
[tex]FV = 2366.84[/tex]
Therefore, the future value of a 10-year investment of $1200 at an APR of 7% compounded monthly is $2366.84 (rounded to the nearest cent).
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11. Suppose Britta only paid the interest during her 2 years in school and the
6-month grace period. What will she pay in interest over the term of her loan
Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.
what is interest ?The sum of money that a borrower must give a lender as interest is compensation for the use of borrowed funds. It is typically computed as a percentage of the principal, which is the amount borrowed, and is repaid alongside the principal over a predetermined amount of time. The cost of the lender, the likelihood of a default, and the desire for credit in the economy are just a few of the variables that affect the interest rate, or the percentage charged for borrowing the money.
given
We can use the following method to determine the total interest paid:
Principal x Interest Rate x Duration equals total interest.
where Principal denotes the sum borrowed, Interest Rate denotes the annual interest rate (in decimal form), and Time denotes the number of years over which interest will accrue.
Assume Britta took out a $50,000 loan to pay for her schooling.
Therefore, the amount of her loan at the conclusion of that time frame would be:
$50,000 x 1.06^2 = $56,420
The interest that will be charged on this balance for the remaining 10 years and 6 months of the loan period needs to be calculated now. Using the above method, we obtain:
$56,420 multiplied by 0.06 times 10.5 equals the total interest, or $33,782.
Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.
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The length of two side of a triangle are 3cm and 4cm and the angle included between these sides is 30° . Find the areas of he triangle .
The area of the triangle is 3 cm^2.
What is Area?Area is the measure of the amount of space inside a two-dimensional shape, such as a square, rectangle, triangle, or circle. It is usually measured in square units, such as square centimeters, square inches, or square meters.
What are Two Dimensional Shape?Two-dimensional shapes are flat shapes that exist in only two dimensions - length and width. They are also known as 2D shapes. Some common examples of two-dimensional shapes include:
SquareRectangleCircleTriangleTrapezoidParallelogramIn the given question,
To find the area of a triangle, we need the length of two sides and the angle between them. We are given that the length of two sides of the triangle are 3 cm and 4 cm, and the angle between them is 30°.
We can use the formula for the area of a triangle, which is:
Area = (1/2) x base x height
We can take the side of length 3 cm as the base of the triangle, and the side of length 4 cm as the height, as it forms a right angle with the base. To find the height, we can use trigonometry.
sin(30°) = opposite/hypotenuse
sin(30°) = height/4
height = 4 x sin(30°)
height = 2 cm
Now, we can substitute the values in the formula for the area of the triangle:
Area = (1/2) x base x height
Area = (1/2) x 3 x 2
Area = 3 cm^2
Therefore, the area of the triangle is 3 cm^2.
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PLEASE HELPP!!!! DUE IN 2 HOURSSSS!!!!!!
5) Solve.
The altitude leg of a right triangle has a length of √32 cm. Its hypotenuse measures 9 cm.
How long is its base leg?
(A). b = 5cm
(B). b = 9cm
(C). b = 6cm
(D). b = 7cm
Answer:B
Step-by-step explanation:
Answer: D : 7cm
Step-by-step explanation:
(100 POINTS) Use the function f(x) to answer the questions.
f(x) = −16x2 + 60x + 16
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
a. The x-intercepts are 1/4 and 4. b. The vertex of the graph of f(x) is (1.875, 56), and it represents a maximum point on the graph.
What is axis of symmetry?The object's form is symmetrical because of the axis of symmetry, which is a straight line. On each of its sides, the axis of symmetry produces a perfect reflection. It could be lateral, vertical, or horizontal. The two sides of an object are the same if we fold and unfold it along the axis of symmetry. Various forms have various symmetry lines. There are four lines of symmetry in a square, two lines in a rectangle, infinite lines in a circle, and no lines of symmetry in a parallelogram. There are n axes of symmetry in a regular polygon with n sides.
We know that,
To find the x-intercepts, we set f(x) equal to 0 and solve for x:
-16x² + 60x + 16 = 0
4x² - 15x - 4 = 0
4x² - 16x + x - 4 = 0
4x (x - 4) - 1(x - 4) = 0
(4x - 1) (x - 4) = 0
x = 1/4
x = 4
The x-intercepts are 1/4 and 4.
The vertex of the graph of f(x) can be found using the formula x = -b/2a
x = -60 / (2(-16)) = 1.875
To establish whether the vertex is a maximum or minimum, we examine the shape of the coefficient of the x square term, which is negative (-16). This signifies that the graph expands down and the vertex is a maximum.
Hence, the vertex of the graph of f(x) is (1.875, 56), and it represents a maximum point on the graph.
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Which statement is sometimes true? only one answer.
Question 2 options:
A square is a rhombus.
A trapezoid is a parallelogram.
A rectangle is a parallelogram.
A rectangle is a square.
Answer:
The statement that is sometimes true is C: A rectangle is a parallelogram.
Step-by-step explanation:
A parallelogram is a four-sided shape with opposite sides parallel. A rectangle is a specific type of parallelogram where all angles are right angles, and opposite sides have equal lengths. Therefore, a rectangle is considered a parallelogram. However, not all parallelograms are rectangles because other parallelograms may have angles that are not right angles.
the quotient of 7 and the sum of 8 and m
Answer: :)
n
_
8
I used n as the unknown number
Step-by-step explanation:
The quotient is the result of division between two numbers.
The quotient of a number (I used n) and 8 would be n 8
2.- Encuentra los valores correspondientes en el rango para las siguientes funciones.
a) Si f(x) = x³ + 3x² - 4x, calcular f(0); f(-1); f(3)
HACER LAS OPERACIONES CORRESPONDIENTES. Encuentra la función resultante para
la operación con funciones que se te pide y calcula el valor correspondiente en el rango
3.- (fx g)(x), si f(x) = (x + 1)² y g(x)=2x-3,
4.- (f-g)(x), si f(x) = 5x² + 3x - 1 y g(x)=x²- 2x + 6,
Quiero explicación tengo una duda y no le entiendo al cuadrado que hay que hacer x³ + 3x². 5x² 1)²
Answer:
Step-by-step explanation:
sorry I don’t know
Five students came for after-school tutoring. Lin’s teacher assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all.
The number of problems assigned initially to each student by Lin’s teacher is 4.
What is an Equations?Equations are mathematical statements that have two algebraic expressions on either side of equals (=) sign. The phrases written on the left and right sides are equal, as shown by this example.
Equations can be resolved in order to ascertain the value of a variable that represents an unknowable quantity. In the absence of the "equal to" symbol, a statement is not an equation. That will be taken into consideration as a phrase.
Lin’s teacher assigned each of them the same number of problems to complete.
Total number of problems assigned by Lin's teacher to students = 30
Let the total number of problems assigned to each student initially be x
So, the number of problems assigned to all the students initially = 5x
Also it is given that Lin's teacher assigns 2 more problems to each student
which means he gives 10 more problems to solve
5x+10 = 30
5x = 20
x = 4
Hence, The number of problems assigned initially to each student by Lin’s teacher is 4.
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b) Which is the better price—17% off $35 or 12% off $32? Explain.
Answer:
35$ - 17% gives you 29.05$
while 32$ - 12% gives you 28.16$
so 35$ - 17% would be your answer
(ANSWER ASAP!! GIVING BRAINLIEST IF CORRECT! :))
A student wants to see if this table shows a proportional relationship
They start by checking to see if they are multiplying by the same amount to go from X to Y.
Finish the student's work by checking the other rows. Is this a proportional relationship? If so, what is the constant of proportionality?
A: Yes it is proportional, and the constant of proportionality is 2
B: No it is not proportional, because tables can't show proportions
C: No it is not proportional, because you aren't multiplying by the same amount on every row
D: Yes it is proportional, and the constant of proportionality is 3
Answer:
The correct answer here is B
Step-by-step explanation:
You already did the first 2 rows and it got a COP of 3. The last few rows do not.
Answer:
Answer is C
Step-by-step explanation:
Yes, the person who said B is half correct but tables CAN show proportions, however this one doesn't since you aren't multiplying by 3 in every row. Only the top 3 rows do the rest don't. That's why C is correct not B.
Please help solve these! Thank you!!
The value of function f(x) at x =1 will be 4.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given a function f(x) = -3x + 7
To calculate the value of the function at x = 1,
We need to substitute the value of x = 1 in the function,
thus,
f(1) = -3 * 1 + 7
f(1) = -3+ 7
f(1) = 4
This represents the point (1, 4) on function f(x) = -3x +7.
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Which expression represents the distance between Q and R
Answer:
Translation
Step-by-step explanation:
Translation
Find the surface area of the composite figure. Round your answer to the nearest whole
number.
6 ft
00
5 ft
12 ft
Hint: how many circles are part of your final surface area?
ft. 2
The surface area of the figure is 549.5 square ft
How to determine the surface area of the figureGiven that
The composite figure comprises of a cone and a cylinder of the following dimensions
Cone: Radius = 5 ft and Height = 12 ft
Cylinder: Radius = 5 ft and Height = 6 ft
The surface area of the figure is calculated as
Surface area = Cone + Cylinder - Circle
So, we have
Surface area = πr(r + √[h² + r²]) + 2πr(r + h) - πr²
Substitute the known values in the above equation, so, we have the following representation
Surface area = 3.14 * 5 * (5 + √[12² + 5²]) + 2 * 3.14 * 5 * (5 + 6) - 3.14 * 5²
Evaluate
Surface area = 549.5
Hence, the surface area is 549.5
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I need help please anyone ?!!!!
Answer:
B
Step-by-step explanation:
The answer is 21 because the pattern is multiplying by 3!
Solve for the following....
[tex]\boxed{\tt 4x-(9-3x)=8x-1}[/tex]
Answer:
-8
Step-by-step explanation:
4x - 9 + 3x = 8x - 1
7x - 9 = 8x - 1
7x = 8x + 8
x = -8
Therefore, the solution to the equation 4x - (9 - 3x) = 8x - 1 is x = -8.
Given:-
[tex] \sf \: 4x - ( 9 - 3x ) = 8x - 1[/tex][tex] \: [/tex]
Solution:-
[tex] \sf \: 4x - ( 9 - 3x ) = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 4x - 9 + 3x = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 4x + 3x - 9 = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 7x - 9 = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 7x - 8x = -1 + 9[/tex][tex] \: [/tex]
[tex] \sf \: -1x = 8[/tex][tex] \: [/tex]
[tex] \sf \: x = \cancel \frac{8}{ - 1} [/tex][tex] \: [/tex]
[tex] \underline{ \sf \color{lightgreen} \: x = -8 \: }[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
Solve for t 4t + 5 ≤ -7
Answer:
t ≤ -3
Step-by-step explanation:
4t + 5 ≤ -7
4t ≤ -12
t ≤ -3
find x, show proofs
The side x of the similar triangle is 12.7 units.
How to find the side of a triangle?The triangles are similar triangle.
Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.
Therefore, using the proportion
37- 5 / x = x / 5
Evaluate the difference of 37 and 5
32 / x = x / 5
Cross multiply the equation
x × x = 32 × 5
So, we have
x² = 160
Take the square root of both sides
x = √160
Evaluate the square roots
x = 12.6491106407
Hence, the value of x is x = 12.7 units (when approximated)
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The function y = 8.5(1.1)^x models the population in thousands of a town where x is the number of years after 2000. What will be the town's population in 2007? Give the answer to two decimal places. Answers to choose from: A. 16.56 thousand B. 12 thousand C. 8.52 thousand D. 5 thousand
Pls help I rly appreciate it! :)
The population in thousands of a town in the year 2007 is 16.56 thousand.
What use does the base value serve in an exponential function?In an exponential function, the base value controls how quickly the function increases or decreases. The function expands exponentially if the base value is more than 1, whereas it degrades exponentially if the base value is between 0 and 1. Faster growth or decay is indicated by a bigger base value.
Given that,
y = 8.5(1.1)ˣ
The value of x is calculated as:
x = 2007 - 2000 = 7 years.
Substitute the value of x in the given function:
y = 8.5(1.1)⁷
y = 16.56
Hence, the population in thousands of a town in the year 2007 is 16.56 thousand.
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what is the common denominator of 3/8 and 1/5
Answer:
40?
Step-by-step explanation:
3. Ray compared the y-intercept of the graph of
the function f(x) = 5x + 7 to the y-intercept of the
linear function that includes the points in the table
below.
X
1
2
3
4
g(x)
20
35
50
65
Determine the distance between the y-intercept
of f(x) and the y-intercept of g(x).
The distance between the twο y-intercepts is 7 - 19 = -12.
What is value?Value is the impοrtance, wοrth, οr usefulness οf sοmething. It is a measure οf the relative wοrth οf sοmething and can be expressed in variοus ways, such as mοnetary, sοcial, οr practical. Value can be determined by cοnsidering factοrs such as quality, utility, and scarcity. Values are subjective and can be influenced by persοnal, cultural, and sοcietal factοrs. They οften reflect a persοn's beliefs, attitudes, οr preferences. Value is an impοrtant cοncept in ecοnοmics, finance, and sοcial science.
The y-intercept οf f(x) is 7, while the y-intercept οf g(x) is calculated by subtracting the x-value οf the first rοw frοm the g(x) value, which is 20 - 1 = 19.
Therefοre, the distance between the twο y-intercepts is 7 - 19 = -12.
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Please help i need it!!!!!
A 6 N crate is lifted 2 meters. How much work is done?
A) 12 N/m
B) 4 N/m
C) 8 N/m
D) 3 N/m
The amount of work done is Option A) 12 N/m
What is work done?Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.
It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.
Work done on a body is equivalent to the increase in the energy of the body, because it transfers energy to the body.
The formula for work done is;
W = fd
Where, 'f' is the applied force and d is the distance
Substitute the values
Work done = 6(2)
Work done = 12 N/m
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Anyone please help me please anyone ???!! Thank you (((:!!!!
Answer:
23
Step-by-step explanation:
(16-12)×4+7
(4)×4+7
16+7
=23 I think
A race official needs to know how long it takes an average contestant to run an obstacle course. There are a total of 200 contestants. How can he find a reasonable estimate for the amount of time it takes to run the obstacle course?
A. Time any contestant on the course and use that time
B. Time himself on the course and use that time
C. Time 2 contestants and average their times
D. Time 20 contestants and average their times
The best option to find a reasonable estimate for the amount of time it takes to run the obstacle course among 200 contestants is to option D: Time 20 contestants and average their times.
Define reasonable estimate?A reasonable estimate is an approximation that is based on logical reasoning and information available, and it is within a reasonable margin of error. It is not expected to be precise, but it is expected to provide a fair idea of the value being estimated.
For example, estimating the cost of a renovation project within 5% of the actual cost would be considered a reasonable estimate.
By timing only one contestant, the time might not be representative of the entire group since individual performances can vary significantly. Timing the race official himself also won't give an accurate estimate since the official might not be a typical contestant in terms of speed and agility.
On the other hand, timing 2 contestants and averaging their times might not provide a big enough sample size to get a good estimate.By timing 20 contestants, there is a higher chance that the sample size will be representative of the entire group, and the average time will provide a more accurate estimate of the typical performance on the obstacle course.
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