The maximum load that can be applied to the wire made of that kind of steel is 21195 N. The result is obtained by using the tensile strength equation.
What is tensile strength?Tensile strength is the maximum load or stress that a material can withstand without fracture when being stretched or pulled per its cross-sectional area.
The statement can be expressed as
σ = F/A
Where
σ = tensile strengthF = force acting on the materialA = cross-sectional areaThe tensile strength of a certain steel wire is 3000 MN/m². The diameter of the wire is 3.0 mm. Find the maximum load that can be applied to the wire!
Let's count the cross-sectional area!
A = πr²
A = 3,14 (½d)²
A = 3,14 [½(3.0 × 10⁻³)]²
A = 3,14 (1.5 × 10⁻³ m)²
A = 3,14 (2.25 × 10⁻⁶) m²
A = 7.065 × 10⁻⁶ m²
The maximum load is the maximum value of the force acting on it.
σ = F/A
3000 MN/m² = F / 7.065 × 10⁻⁶ m²
3000 × 10⁶ N/m² = F / 7.065 × 10⁻⁶ m²
F = 3 × 10⁹ × 7.065 × 10⁻⁶ N
F = 21.195 × 10³ N
F = 21195 N
Hence, the steel wire can have the maximum load of is 21195 N.
Learn more about tensile strength here:
brainly.com/question/14786237
#SPJ4
Question 2 options: A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 50. What is the population of the bacteria after 40 hours
After 40 hours the population of bacteria will be equals to 318 hours.
We can calculate the total population growth using the following equation:
A(t)= A₀× 2ᵗ/¹⁵
Where, A(t) --> the total population
A₀ --> the initial population
t --> the time in hours
From the statement we know that the population of bacterias doubles every 15 hours, so, using the formula we have: A(15) = A₀ × 2ᵗ/¹⁵
The initial population is = 50 , then
A(15) = 50×2¹⁵/¹⁵ = 100
It shows that every 15 hours, the population of bacterias doubles it size. We are asked to calculate the popualation after 40 hours, so:
A(40) = 50 × 2⁴⁰/¹⁵
= 6.35 × 50 = 317.5 ~ 318
So, after 40hours the population of bacteria will be 318.
To learn more about population growth, refer:
https://brainly.com/question/27779235
#SPJ4
HELP BRAINLIEST AND SET AT 35 POINTS
The table shows Gary's ratio to make glitter glue bottles.
Bottles Glue Glitter
1 3.8 1.9
4
How much glue and glitter would he need to make 4 bottles?
Gary would need 15.2 oz of glue and 3.8 oz of glitter to make 4 bottles.
Gary would need 6.8 oz of glue and 4.9 oz of glitter to make 4 bottles.
Gary would need 7.8 oz of glue and 5.9 oz of glitter to make 4 bottles.
Gary would need 15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Gary would need 15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bottles Glue Glitter
1 3.8 1.9
This means,
1 bottle = 3.8 oz of glue and 1.9 oz of glitter
Now,
1 bottle = 3.8 oz of glue
Multiply 4 on both sides.
4 bottle = 4 x 3.8 oz
4 bottle = 15.2 oz
1 bottle = 1.9 oz of glitter
Multiply 4 on both sides.
4 bottle = 7.6 oz
Thus,
15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
What is 79 to the nearest 10?
79 rounded to the nearest 10 is 80.
79 lies between 70 and 80. 75 is exactly half-way between 70 and 80, and 79 is between 75 and 80. So 79 is closer to 80 than 70 on the number line and it rounds up to 80.
70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
If the last digit is 0, then we do not have to do any rounding, because it is already rounded to the ten.
Therefore, 79 rounded to the nearest ten = 80.
Learn more about nearest numbers here :
https://brainly.com/question/17331539
#SPJ4
What is the graph of the equation y =- 4?
The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4)
What is a straight line?A straight line is an infinitely wide one-dimensional figure. It is made up of an infinite number of points connected at both ends by another point. A straight line is devoid of all curves. It can be angled, vertical, or in any direction. A 180-degree angle will always result from drawing an angle between any two points on a straight line. we will learn how to read straight line equations in various formats and how to use them to answer questions about straight lines.
So that, The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4) as shown in attached diagram.
To learn more about linear graph visit:
brainly.com/question/28393413
#SPJ4
Solve the inequality: 8 < x + 2 < 20
[tex]8 < x+2 < 20[/tex]
a) Add -2 to all sides.
[tex]8+-2 < x+2-2 < 20+-2[/tex]
[tex]6 < x < 18[/tex]
Your answer would be [tex]6 < x < 18[/tex]
Your answer should be: (6,18)
find the value of x
(words to meet the word thingy)
The required measure of angle x is given as 60°, for the given quadrilateral.
A quadrilateral is a four-sided enclosed shape, whose sum of the internal angle is equal to 360°,
Examples of the quadrilateral, square, rectangle, etc.
Here,
The sum of the angle of the quadrilateral is equal to 360,
So,
x + 100 + 130 + 66 = 360
x = 360 - 296
x = 64°
Thus, the required measure of angle x is given as 60°, for the given quadrilateral.
Learn more about quadrilaterals here:
https://brainly.com/question/13805601
#SPJ1
Graph the following inequality and then select the correct graph below.
x + 2 ≥ 1
Answer:
The first image is right. The line on X = -1
Step-by-step explanation:
x + 2 ≥ 1
x ≥ 1 -2
x ≥ -1
Question Progress Homework Progress 26/ 5 + √2 4+√8 can be written in the form where r and s are both integers. What are the values of r and s? r - s√2 4 66%
I need help on this homework
By solving an inequality we will see that for 7 movies (or more) the first store is a better deal.
What is the minimum number of movies so the first store is better?We know that the first store charges $12.50 as a fixed cost plus $1.50 per movie rented, so if you rent x movies, the total cost is:
c(x) = $12.50 + $1.50*x
While the second store charges $3.50 per movie, then the cost for renting x movies here is:
h(x) = $3.50*x
We want to find the minimum value x such that c(x) < h(x), then we need to solve the inequality:
$12.50 + $1.50*x < $3.50*x
$12.50 < $3.50*x - $1.50*x
$12.50 < $2.00*x
$12.50/$2.00 < x
6.25 < x
So, for x = 7 the first store is a better deal.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
The imaginary number i is defined such as i^2=-1. What does i^+ i^2+i^3+...i^23 equal?
I keep getting i^23=i^20+3=i(4x5)+3=-i
It should up -1 but I do not know how
The sum of the equation of i from i^2 to i^23 is equal to -1, which is the result of subtracting i from itself.
i^2 = -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
i^8 = 1
i^9 = i
i^10 = -1
i^11 = -i
i^12 = 1
i^13 = i
i^14 = -1
i^15 = -i
i^16 = 1
i^17 = i
i^18 = -1
i^19 = -i
i^20 = 1
i^21 = i
i^22 = -1
i^23 = -i
Therefore, i^2 + i^3 + ... + i^23 = -i + (-i) = -1
The sum of the powers of i from i^2 to i^23 can be calculated by starting with i^2=-1 and then adding the result of each successive power to the sum. For example, i^3=-i and so i^2 + i^3=-1-i=-i. This process is then repeated for each of the powers i^4 to i^23, until the result of i^23=-i is added to the sum. This gives a final result of -i + (-i) = -1.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Find the area of a lateral face of the regular pyramid.
Answer:
2684 [tex]units^{2}[/tex]
Step-by-step explanation:
We find the area of the 4 triangles
area = 1/2 base x height All the bases area the same measurement
a = 1/2(22)(61)
a = 671
There are 4 sides
671 x 4 = 2684
Nathaniel has enough goat's milk to make at most 24 containers of fermented milk product (either yogurt or kefir). Each container of yogurt sells for $6.00, while each container of kefir sells for $5.00 Nathaniel needs to make at least $5.50
The system of inequalities of the scenario is x + y ≤ 24 and 6x + 5y ≥ 550
How to determine the system of inequalities of the scenario?From the question, we have the following parameters that can be used in our computation:
Number of containers = At most 24Unit rates of yoghurt and kefir = $6.00 and $5.00, respectivelyAmount needed = At least $550Using the above as a guide, we have the following:
Number of containers = x + y
Where
x = Yoghurt
y = Kefir
This means that
x + y = At most 24
Express as an inequality
x + y ≤ 24
For the earnings, we have:
6x + 5y = Total earnings
Express as an inequality
6x + 5y ≥ 550
Hence, the inequalities are x + y ≤ 24 and 6x + 5y ≥ 550
Read more about inequalities at
https://brainly.com/question/23093488
#SPJ1
Complete question
Nathaniel has enough goat's milk to make at most 24 containers of fermented milk product (either yogurt or kefir). Each container of yogurt sells for $6.00, while each container of kefir sells for $5.00 Nathaniel needs to make at least $550.
What is the system of inequalities of the scenario?
The coordinate 3 has a weight of 2, and the coordinate 9 has a weight of 1. Find the weighted average
For the coordinates and their weights, the weight average is 5
How to determine the weight average of the points?From the question, we have the following parameters that can be used in our computation:
Coordinates and weights
The coordinates and weights are then given as:
Coordinate 3 has a weight of 2Coordinate 9 has a weight of 1The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
Substitute the known values in the above equation
So, we have the following equation
Weight average = (3 * 2 + 9 * 1)/(2 + 1)
Evaluate the product in the above equation
So, we have the following equation
Weight average = (6 + 9)/(2 + 1)
Evaluate the sum in the above equation
So, we have the following representation
Weight average = (15)/(3)
Evaluate the quotient in the above equation
So, we have the following equation
Weight average = 5
Hence, the weight average of the coordinates is 5
Read more about average at
brainly.com/question/20118982
#SPJ1
an alias cannot be used when a table is required to be joined to itself in a recursive query.a. trueb. false
An alias cannot be used when a table is required to be joined to itself in a recursive query is false.
The majority of relational database management systems, if not all of them, include the SQL feature known as an alias (RDBMSs). Database administrators and other database users can use aliases to cut down on the amount of coding necessary for a query and to make it easier to understand. Additionally, the real names of database fields can be protected using aliasing as an obfuscation approach.
You can alias tables and columns in SQL. A correlation name is another term for a table alias. [1] For the duration of a SELECT query, a programmer can temporarily give a table or column a different name by using an alias. The column or table are not truly renamed when an alias is assigned.
To learn more about Database:
https://brainly.com/question/518894
#SPJ4
Using the substitution u(x) = y + x, solve the differential equation dy/dx = (y + x)^2 .
The solution to the differential equation is y = 2x/(y + 2x), which can be interpreted as y is equal to twice x divided by y plus twice x.
du/dx = 2(y + x)
Integrating both sides, we get
∫du/2(y + x) = ∫dx
1/2 ∫u du = x + C
(1/2)u^2 = x + C
(1/2)(y + x)^2 = x + C
y^2 + 2xy + x^2 = 2x + C
y^2 + 2xy = 2x + C - x^2
y^2 + 2xy = 2x + C - x^2
y^2 + 2xy + C = 2x + C
y^2 + 2xy + C = 2x + C
y^2 + 2xy = 2x
y(y + 2x) = 2x
y = 2x/(y + 2x)
y = 2x/(y + 2x) y = 2x/(y + 2x), which can be interpreted as y is equal to twice x divided by y plus twice x.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
345 x 564 divided by 3x - 2y
Answer:
-97290
Step-by-step explanation:
Trey measured the mass of some pebbles. What is the combined mass of the pebbles that are 4 1/2 grams more?
The combined mass of the pebbles that are 4 1/2 grams more is 66 grams.
What is addition?In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
Given:
The mass of the pebbles is shown in the image attached below,
Calculate the combined mass as shown below,
The combined mass = 4.5 × 5 + 5 × 4 + 5.5 × 3 + 1 × 7
The combined mass = 22.5 + 20 + 16.5 + 7
The combined mass = 39 + 20 + 7
The combined mass = 66
Thus, the combined mass is 66 grams.
To know more about addition:
https://brainly.com/question/28008319
#SPJ1
graph the sentence to this inequality on the number line.
-16 > —4p
p<4 is the solution of the given inequality.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is -16>-4p
Minus sixteen greater than minus four p
Divide both siders by -4
4>p
p<4
Now we have to draw this on number line.
a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The attached figure has the graph of p<4.
Hence, p<4 is the solution of the given inequality.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ1
A rhombus has an angle measure of 120 and it’s longer diagonal has a length of 10 inches. Find the area of the rhombus.
If a rhombus has an angle measure of 120 and it’s longer diagonal has a length of 10 inches. The area of the rhombus is 28.85.
How to find the area?Obtuse angle = 120 so, the other two angles must add up to 60 and each would be half of 60 or 30.
Hence,
Sin 30° = 0.5
Sin 60° = 0.86602540378
Now let find the length of breadth
Length of breadth = 0.5 / 0.86602540378
Length of breadth = 0.577
Now let find the area using this formula
A =b × h
Where:
b=0.577
h=0.5
A = 0.577 x 0.5
A = 0.2885
A = 28.85
Therefore the area is 28.85.
Learn more about area here:https://brainly.com/question/25292087
#SPJ1
Which of the following is not an improper fraction?
A.4/3
B.3/2​
C.5/3
D.7/11
HELP ASAP!!!!
A set of eight cards were labeled with D, I, V, I, S, I, O, N. What is the sample space for choosing one card?
S = {V, S, I, D, I, I, N, O}
S = {D, I, S, O, N}
S = {V, I, O}
S = {D, I}
Answer:
the answer is the 1 one S = (V,S.I,D,I,I,N,O)
Step-by-step explanation:
Answer:
The answer would be A S=(V,S,I,D,I,I,N,O
Step-by-step explanation:
3. A music store sells a guitar for $45. If the local sales tax is 6%, what is the total cost of the guitar, including tax? Do NOT use a dollar sign in your
Answer:
47.70
Step-by-step explanation:
6%= 2.7
2.7 +45
=47.7
60 POINTS ANSWER THE QUESTION FOR BRAINLIST AND HEARTS, USE MY GRAPTH PLS!
Answer:
Step-by-step explanation:
Is Ace or Alfonzo correct
Answer: Ace
Step-by-step explanation: Since the line rests on y = 100, the range is indeed y= 100.
(note that domain is x while range is y)
Which of the following quadratic equations has roots 3, 5 ?
(A) x²-15x+8=0
(B) x²-8x+15=0
(C) x²+3x+5=0
(D) x²+8x-15=0
Answer:
[tex]x^2-8x+15=0[/tex]
Step-by-step explanation:
If the roots are [tex]3[/tex] and [tex]5[/tex], the factors are [tex](x-3)[/tex] and [tex](x-5)[/tex].
Taking the leading coefficient as 1, the equation is [tex](x-3)(x-5)=0 \implies x^2-8x+15=0[/tex].
What is the standard deviation from the mean? round the answer to the nearest tenth if necessary. 4. 5 6 14 15. 5.
The standard deviation is 5.94 and rounded to the nearest tenth, the standard deviation is 5.9.
The standard deviation from the mean is a measure of how spread out the data is in a set of numbers. It is calculated by finding the square root of the variance of the data set, which is the average of the squared differences between each data point and the mean.
To calculate the standard deviation from the mean for the set of numbers 4, 5, 6, 14, 15, and 5, you would first need to find the mean of the set by adding all of the numbers together and dividing by the number of numbers in the set. The mean of this set is 8.17.
Next, we will need to calculate the squared differences between each number and the mean, and then average those squared differences. The variance of this set is 35.15.
Finally, we will take the square root of the variance to find the standard deviation, which is approximately 5.94. Rounded to the nearest tenth, the standard deviation is 5.9.
Read more about standard deviation:
brainly.com/question/12402189
#SPJ4
Students in Mr. Walker’s math class were asked to produce a drawing of themselves using the skill 0.50 inches = 2 feet. Billy Is 5’6” tall. How tall will his drawing be?
The height of Billy's drawing, obtained by using the scale factor of 0.5 inches is equivalent to 2 feet, and Billy's height of 5'6'' is 1.375 inches.
What is a scale factor of a drawing?A scale factor is a number by which the dimensions of the sides (the side lengths) of an original figure is multiplied in other to obtain the dimensions (lengths of the sides) of the image.
The height of Billy's drawing can be obtained by multiplying Billy's height by the scale factor used for the drawing.
The scale of the drawing is 0.5 inches ≡ 2 feet
Billy's height = 5'6'' (5 feet 6 inches)
Dividing both sides of the scale factor by 2, we get;
0.5 inches ÷ 2 ≡ 2 feet ÷ 2
0.25 of an inch ≡ 1 ft
5'6'' (5 feet 6 inches) = 5 feet 6 inches = 5.5 feet
The scale factor equation is; 0.25 of an inch = 1 ft
Multiplying both sides of the scale factor equation by 5.5, we get;
5.5 × 0.25 of an inch ≡ 5.5 × 1 ft
1.375 inches ≡ 5.5 ft
The height of Billy's drawing is 1.375 feetLearn more about the scale factor of a drawing here:
https://brainly.com/question/9881728
#SPJ1
Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 per job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this. Which best describes the restrictions on the jobs Deepak will accept
The jobs Deepak will accept must require at least 3 hours of work in order for him to earn at least $90 per job: 30x + 15(x) ≥ 90.
30x + 15x ≥ 90
45x ≥ 90
x ≥ 90/45
x ≥ 2
To determine the restrictions on the jobs Deepak will accept, we must first write an inequality that shows the minimum number of hours he must work in order to make at least $90 per job. This inequality is
30x + 15x ≥ 90,
which can be simplified to
45x ≥ 90
Dividing both sides of the inequality by 45 gives us
x ≥ 90/45,
which can be further simplified to x ≥ 2. This means that Deepak will only accept jobs that require at least 2 hours of work in order to make at least $90 per job.
Learn more about order here
https://brainly.com/question/29182748
#SPJ4
Colinda has just purchased her first home for $125,000. She put down a 20 percent down payment of $25,000 and took out a 5 percent 30-year mortgage for the rest. Her mortgage payment is $536. 82 per month. How much of her first monthly mortgage payment is amortization?.
Amortization makes up $120.15 of colinda's first monthly mortgage payment.
We must first determine the total amount of Colinda's mortgage in order to determine the amount of her first monthly mortgage payment, which is amortization. Her 20% down payment of $25,000 reduced the mortgage balance to $100,000 ($125,000 – $25,000).
The 30-year term and 5% interest rate on the mortgage result in a $536.82 monthly payment. The portion of the mortgage payment designated for amortization is the sum that is used to pay off the loan's principle; the remainder is used to cover interest.
We can use the following formula to determine the amortization part of the mortgage payment:
Amortization = (Mortgage Payment) - (Interest Payment)
Where:
The mortgage payment ($536.72) is made each month.
Monthly interest payments are computed using the following formula: (Amount of Mortgage) (12%) Interest Rate
When we enter the values, we obtain:
Amortization is calculated as ($536.72) - ($100,000) * (0.05/12)
$536.82 - $416.67 is the amortization.
Amount amortized : $120.15
To know more about percentage at :
brainly.com/question/24304697
#SPJ4
SOMEONE PLEASE HELP ME ANSWER ….If 3 is added to a number and the sum is triple the results is 17 more than the number find the number
The number that represents the system in this problem is given as follows:
x = 4.
How to obtain the number?The number is unknown, hence the variable that represents the number is given as follows:
x.
Then an equality is built from the sentence in the problem, which is then solved to obtain the number.
The addition of 3 to a number is given as follows:
x + 3.
The triple the sum is given as follows:
3(x + 3).
The result is 17 more than the number, hence the equality is given as follows:
3(x + 3) = 17 + x.
Then the solution for the equality, which gives the number, is obtained as follows:
3x + 9 = 17 + x
3x - x = 17 - 9
2x = 8
x = 8/2
x = 4.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1