If a coil of cable ,50m in length has a conductor resistance of 0. 275W,then the value of resistance for 800m of the same cable will be 4.4 ohms.
What is resistance?The opposition to current flow in an electrical circuit is measured by resistance. The Greek letter omega represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm (1784–1854), a German physicist who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance.
what is conductance?the ratio of a conductor's current to potential difference, which measures how well a thing conducts electricity. This is the resistance' inverse, and it is measured in siemens.
as we are given with;
Length=50m
Resistance=0.275W
we got Formula;
Resistance=pL/A
p/A=R/A
p/A=0.275/50
=0.0055
Now for 800m wire
R= p/A(800)
R=0.0055x800
R=4.4 ohms
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Concrete tiles are made using buckets of cement,sand and gravel mixed in the ratio 1:4:6
i. How many buckets of gravel are needed for 8 buckets of cement?
ii. If 10 buckets of sand are used, how many buckets of gravel will be needed?
Answer:
48 buckets of gravel
15 buckets of gravel
Step-by-step explanation:
Currently my bank balance is R2 000. What will the new balance be if I withdraw R600 from the account in each of the next 3 months?
Answer:
R200
Step-by-step explanation:
R200
Joe i reponible for reerving hotel room for a company trip. Hi company change plan and increae how many people are going on the trip, o they need at leat 505050 total room. Joe had already reerved and paid for 161616 room, o he need to reerve additional room. He can only reerve room in block, and each block contain 888 room and cot \$900$900dollar ign, 900. Let BBB repreent the number of additional block that Joe reerve. 1) Which inequality decribe thi cenario?
Chooe 1 anwer:
The bare minimum required is $4500 to reserve 5 blocks totaling at least 34 rooms.
What is inequality?In mathematics, a relationship between two expressions or values that are not equal to each other is called "inequality".
Here,
The number of rooms Joe company needs is 50. Let the number of rooms needed be n, this can be represented by the inequality:
n ≥ 50
Joe has already reserved 16 rooms, therefore the number of additional rooms needed to be reserved = 50 - 16 = 34 rooms. At least 34 rooms have to be reserved, if B is the number of additional blocks that Joe reserves, the inequality is:
B ≥ 34
Each block contains 8 rooms therefore the minimum number of block (a) needed to be reserved = 34/8 = 4.25 = 5 to the next whole number. Therefore the minimum number of blocks needed is given as:
a ≥ 5
Since each block cost $900, let c represent the minimum amount of money needed, therefore the least amount of money needed is given as:
c = $900(5) = $4500
c ≥ $4500
The least amount of money needed is $4500 for booking 5 blocks that will reserve at least 34 rooms.
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A railroad's track can be determined using the following graph.
Linear function increasing from the left in quadrant 3 passing through the point negative 8 comma 0 and 0 comma 5.
Several different roadways are in the same region as the railroad.
Part A: A highway's path can be found using the equation 2x − 3y = 21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely. (5 points)
Part B: A turnpike's route is determined by the equation y equals one third times x squared period Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work. (5 points)
a) The number of intersections between the railroad and the highway is of: One.
b) The number of intersections between the railroad and the turnpike is of: Two.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are listed as follows:
m is the slope, representing by how much y changes when x is increased by one.b is the intercept, representing the value of y when x = 0.The points for the railroad are given as follows:
(-8, 0) and (0,5).
When x = 0, y = 5, hence the intercept is of:
b = 5.
When x increases by 8, y increases by 5, hence the slope is of:
m = 5/8.
Thus the equation for the railroad is of:
y = 5/8x + 5.
Then the number of intersections with the highway is of one, as they are linear functions with different slopes.
With the turnpike, the intersection is given as follows:
5/8x + 5 = x²/3
x² -1.875x - 15 = 0.
The discriminant is of:
(-1.875)² - 4(1)(-15) = 63.5.
Which is positive, hence they have two intersections.
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Billy’s mom bought pizza for 4 boys. The boys ate 3 pizzas. If each boy ate the same amount, how much did each eat
Answer:
If there are 4 boys and they ate 3 pizzas, and each boy ate the same amount, then each boy ate 3/4 of a pizza. If you want to express this as a fraction, it would be 3/4 of a pizza per boy. If you want to express it as a decimal, it would be 0.75 pizzas per boy. If you want to express it as a percentage, it would be 75% of a pizza per boy.
A line is drawn to model the relation ship between the number of weeks and the change in price. Is the slope of this line positive or negative? Explain.
If the slope is negative, the function is downward-sloping because y falls off as x rises. If the slope is zero, y remains constant—a horizontal line—and does not vary.
What is slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all
Any two different points on a line can be used to calculate the slope of any line.
A line's slope is determine by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-
P1 = (x1, y1) and P2 = (x2, y2)
Hence, If the slope is negative, the function is downward-sloping because y falls off as x rises. If the slope is zero, y remains constant—a horizontal line—and does not vary.
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While looking at some reports, a store manager notes that televisions that retail for $475 and up costing customers $513 once the sales tax is ended, what is the sales tax percentage?
The sales tax percentage of the store manager report is 7.41%
How to solve for the sales tax percentageCustomers are subject to a charge known as sales tax when they buy goods and services.
It is a pass-through tax, which means you must collect it from clients and send the money to your state or local government. the seller do not contribute sales tax.
The sales tax is first calculated by
= price after tax - price before tax
= 513 - 475
= 38
sales tax percentage is calculated using the formula
= (Tax amount / Price before tax) × 100%
= (38 / 513) * 100
= 7.4074
= 7.41%
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Rewrite 177+ 563 = 740 using the Commutative Law of Addition.
O(177 +563) = 740
563 +177 740
740 563 = 177
563 = 177 + 740
Answer: The Commutative Law of Addition states that the order in which numbers are added does not affect the result. This means that for any two numbers a and b, we have a + b = b + a.
We can use the Commutative Law of Addition to rewrite the equation 177 + 563 = 740 as follows:
177 + 563 = 740
563 + 177 = 740
Both of these equations are equivalent to the original equation, because they represent the same mathematical statement.
Note that in the first equation, we simply reordered the terms of the original equation. In the second equation, we added the numbers in a different order, but the result is still the same.
The other equations you provided are not equivalent to the original equation and do not use the Commutative Law of Addition.
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,340 ft Determine the flag's width and length if the length is 410 ft greater than the width.
Answer:
Hope this helps good luck! :)
Step-by-step explanation:
[tex]2340=2l+2w\\l= w+410\\2340=2(w+410) +2w\\\\2340= 2w+820+2w\\1520=4w\\\\w=380\\\\l=380+410\\l= 790[/tex]
HELP ME ASAP!!!!!!!!!!!!!!!!!!!
Answer:
Statement 2 is a lie
Step-by-step explanation:
Statement 1 = TRUE
[tex]13^{2} * 13^{x} = 13^{6} \\13^{2+x} =13^{6}\\2 + x = 6\\x = 6 - 2\\x = 4[/tex]
x = 4 is True
Statement 3 = TRUE
[tex]5^{y} * 5^{6} =5^{12} \\5^{y+6} = 5^{12} \\y+6 = 12\\y=12 -6\\y =6[/tex]
y = 6 is True
Statement 2 = LIE
[tex]m^{y} *m^{z} = m^{x} \\m^{6} *m^{z} = m^{4}\\m^{6+z} = m^{4}\\6 + z = 4\\z= 4-6\\z= -2[/tex]
z = -2 is Lie
In angle JKL, if angle L is thirteen more than angle k and angle j is seven more than six times angle k, find the measure of each angle
The measure of Angle JKL mJ = 159.4°, mK = 3.8°, and mL = 16.8°.
What is the measure if Angle JKL?A ray is rotated about its endpoint, or vertex, to create an angle. The rotational difference between a ray's starting and ending positions is what is measured by an angle's degree.
If x = mJ, y = mK, and z = mL, then
Angle L exceeds Angle K by thirteen, hence z = y + 13 is the result (1)
Since angle J exceeds angle K by a factor of 7, x = 7(6y) = 42y (2)
X + Y + Z = 180 because the triangle's angles add up to 180°.
In place of (1) and (2) (3).
42y + y + (y + 13) = 180
44y + 13 = 180
44y = 167
y = 3.8°
x = 42y = 159.4°
z = y + 13 = 16.8°
The answer is that mJ = 159.4°, mK = 3.8°, and mL = 16.8°.
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What is the major difference between the alternate hypothesis and the null hypothesis?.
While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no relationship between variables.
What is alternative hypothesis?
The alternative to your research topic is represented by the alternative hypothesis (Ha). It asserts that there is a population-wide impact.
Frequently, your study hypothesis and alternate hypothesis are the same. Alternatively said, it's the assertion that you anticipate or hope will be accurate.
What is meant by a null hypothesis?
A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.
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Find the area of $\triangle ABC$ with vertices $A\left(2,\ -2\right)$ , $B\left(4,\ -2\right)$ , and $C\left(6,\ -11\right)$ .
The area of $\triangle ABC$ is
square units.
The area of the triangle from the vertices is 27 square units
How to determine the area of the triangle?From the question, we have the following parameters that can be used in our computation:
$A\left(2,\ -2\right)$ , $B\left(4,\ -2\right)$ , and $C\left(6,\ -11\right)$ .
Represent the vertices properly
So, we have
A = (2, -2)
B = (4, -2)
C = (6, -11)
The area of the triangle is calculated using
Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
Substitute the known values in the above equation, so, we have the following representation
Area = 0.5 * |2 * (-2 + 11) + 4 * (-2 + 11) + 6 * (-2 + 2)|
Evaluate the sum of products
Area = 0.5 * |54|
Remove the absolute bracket
Area = 0.5 * 54
Evaluate
Area = 27
Hence, the area of ABC with vertices is 27 square units
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From Book 5
As a man in a distant field, no hearthfires near,
will hide a fresh brand in his bed of embers
to keep a spark alive for the next day;
so in the leaves Odysseus hid himself.
What is being compared to what?
The way Odysseus hides himself in the leaves to sleep is compared to the way a burning coal is buried deep in the embers to preserve a spark for the next day.
Odyssey, epic poem in 24 books traditionally attributed to the ancient Greek poet Homer. The poem is the story of Odysseus, king of Ithaca, who wanders for 10 years (although the action of the poem covers only the final six weeks) trying to get home after the Trojan War. On his return, he is recognized only by his faithful dog and a nurse. With the help of his son, Telemachus, Odysseus destroys the insistent suitors of his faithful wife, Penelope, and several of her maids who had fraternized with the suitors and reestablishes himself in his kingdom.
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A standard television screen has a 4:3 aspect ratio between the width and the height of the viewable screen. What would be the height of Television that is 16 inches wide?
The standard height of the television is 12 inches.
What are ratios?
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other.
The given ratio is 4:3. Let us take a variable 'x' such that 4x=16 and 3x=height.
We find x from 4x=16
x=4
Now putting the value of x in 3x, we get 12 inches.
Therefore, the height of the television is 12 inches.
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The standard height of the television is 12 inches.
The aspect ratio of a screen is the ratio of the width to the height. In the case of a television screen with a 4:3 aspect ratio, the width is 4 units and the height is 3 units.
If we let "h" represent the height of the television screen, we can set up the following equation:
4:3 = 16:h
To solve for "h", we can cross-multiply to get:
4h = 48
Dividing both sides by 4, we get:
h = 12
So the height of a television screen that is 16 inches wide and has a 4:3 aspect ratio is 12 inches.
what is aspect ratio?
The aspect ratio of a screen is the ratio of the width to the height of the viewable area of the screen. It is usually expressed as two numbers separated by a colon, such as 16:9 or 4:3.
Aspect ratios are used in a variety of applications, including television screens, computer monitors, and movie theaters. Different aspect ratios are used for different types of content, and some screens can be adjusted to display content in different aspect ratios.
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a) If the gradient of a line, A, is 4, what is the gradient of the line
which is perpendicular to A?
Suppose that a quiz consists of 20 true-false questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with true and false equally likely). How would you find the probability that the student will get 8 or fewer answers correct?.
The required probability that the student will get 8 or fewer answers is 0.2475.
What is binomial distribution for probability?Binomial distribution is a typical probability dissemination that models the likelihood of getting one of two results under a given number of boundaries. It sums up the quantity of preliminaries whenever every preliminary has a similar possibility accomplishing one explicit result.
According to question:By using binomial distribution for calculating the probability of getting 8 or less than 8 correct answer in the quiz.
Formula ; ⁿCₓ × pˣ × qⁿ⁻ˣ
We have, n = 20 p = 0.5, q = 1 - p = 1 - 0.5 = 0.5
Then,
P(x=0)=20C0*0.5^0*0.5^20=1/1048576
P(x=1)=20C1*0.5^1*0.5^19=5/262144
P(x=2)=20C2*0.5^2*0.5^18=95/524288
P(x=3)=20C3*0.5^3*0.5^17=285/262144
P(x=4)=20C4*0.5^4*0.5^16=4.621*10^-3
P(x=5)=20C5*0.5^5*0.5^15=969/65536
P(x=6)=20C6*0.5^6*0.5^14=0.03696
P(x=7)=20C7*0.5^7*0.5^13=4845/65536
P(x=8)=20C8*0.5^8*0.5^12=0.1201
Then, p(x≤8) = P(x=0)+.......+P(x=8) = 0.2475
Thus, required probability of answers ia 0.2475.
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a graphic is printed on a circular banner that has a diameter of 4 feet. the same graphic undergoes a dilation with a scale factor of 1/6 to be printed on circular stickers. the diameter of the dilated graphic is _[blank]_ inches.
The required diameter of the dilated graphic is 8 inches.
Explain scale factor.
Scale factor is the ratio of comparing sides on two comparative figures. In math, scale factor is utilized to decide how often bigger or more modest one item or figure is to another.
According to question:We have,
diameter of circular banner = 4 feet
scale factor = 1/6
Then, the diameter of circular sticker = 4(1/6) = 4/6 feet.
In inches, we know
1 foot = 12 inches
4/6 feet = 12(4/6) = 8 inches
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831 is divisible by 3.
Answer:
yes
Step-by-step explanation:
The answer to your question is yes. We have calculated all the numbers that 831 is evenly divisible by. The numbers that 831 is divisible by are 1, 3, 277, and 831.
Please check your answer cause this is my last question
The interest rate would be 13%.
What is the simple interest?
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. For example, when a person takes a loan of Rs. 5000, at a rate of 10 p.a. for two years, the person's interest for two years will be S.I. on the borrowed money.
To find the interest rate, we can use the formula for simple interest:
I = Prt
where I is the amount of interest earned, P is the principal (the initial amount of money deposited), r is the interest rate, and t is the time in years.
In this case, we know that I = $3,900, P = $10,000, and t = 3 years. We can use this information to solve for r:
I = Prt
$3,900 = $10,000r3
r = $3,900/($10,000*3)
r = 0.13 or 13%
Hence, the interest rate is 13%.
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To find the area of a square,
use the formula A = s2. If the side of
a square is b5, what is the area of
the square?
Answer:
25
Step-by-step explanation:
When you're figuring out the area of a square, you're measuring the size of its surface. You can think of it as finding how many square units make up the entire surface. For squares, the formula for determining area is A = s2, or A = side x side.=
Hello please perform indicated operation with steps please
Answer:
x^3-2x^2+6x+1
Step-by-step explanation:
x^3+2x-1-2x^2-4x+2
collect like terms
x^3-2x^2+2x+4x-1+2
x^3-2x^2+6x+1
to avoid a possible collision with a manned airplane, you estimate that your small ua climbed to an altitude greater than 600 feet agl. to whom must you report the deviation? group of answer choices
We must report the deviation to Upon request of the Federal Aviation Administration.
What is Deviation?
The deviation is a metric used to determine the discrepancy between an observed variable's value and its predicted value. The deviation can be defined as the distance from the centre point.
Concept:
Each remote PIC who deviates from a Part 107 rule shall, upon request from the FAA administrator, submit a written report of such deviation.
Who is in charge of providing the participants with information on emergency procedures while utilising a small unmanned airplane in a commercial operation? The commander of the remote pilot. A person may fly an unmanned aerial system for profit even without a Part 107 remote pilot certificate: under the immediate control of a Remote PIC.
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Write whether each is an example of commutative, associative, or distributive properties.
15. commulative
16. distributive, distributing the 3 to the 'a' and 'b' within the parentheses.
17. distributive, distributing the w to the variables inside of the parentheses.
If Harry travel 4 and 6/8 of a mile in 5 hour on hi broomtick. How far will he travel in 1 hour? Group of anwer choice 20/19 of a mile 24/40 of a mile 19/20 of a mile 20 and 4/8 of a mile
In linear equation, 1/5 min far will he travel in 1 hour .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
6/8 = 3/4
1/5 min/hr * 1 hr = 1/5 min
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THE DIFFERENCE OF TWO NUMBERS IS 10 IF THE GREATER NUMBER IS 32, FIND THE SMALLER ONE. (STEP BY STEP)
Answer:
22
Step-by-step explanation:
we can set this up and make the unknown number X
32-x=10
Subtract 32 from both sides
32-x=10
-32. -32
-x= -22
Divide both sides by -1
-x=-22
/-1. /-1
x=22
Hopes this helps
PLEASE HELP The definition states that a glide reflection is the composition of a translation and a reflection. Explain why these can occur in either order. (1 pt)
In particular, despite the language overlap, a glide reflection is not a reflection and a (ordinary) reflection is not a glide reflection.
There are many intriguing accounts of what occurs when you mix two of them together. Here are a few instances:
Each isometry may be classified as belonging to one of the five classes listed below.
a consideration,an interpretationthe rotationa reflection of a glide,The map of identity.The identity is the combination of two reflections along the same line.
Translation is the combination of two reflections in dissimilar but related directions. Rotation is the result of two reflections in non-parallel lines.
A gliding reflection is made up of a reflection over a line plus a translation along a non-perpendicular line (and not a reflection).
A reflection is made up of a translation along a perpendicular line and a reflection across a line (and not a glide reflection).
There are fascinating things to say about what occurs when you combine two isometries dependent on the types of the isometries that you combine, but it does not change the fact that the five types are all distinct from one another. I could go on, but I think you get the point now.
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joy needs to mix a 20% alcohol solution with a 40% alcohol solution to create 200 millileters of a 20% solution. how many millileters of each solution must joy use?
In linear equation, X = 200 millileters of each solution must joy use .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
X is the amount of the 20% saline solution
Y is the amount of the 40% saline solution
X + Y = 200
0.2X + 0.4Y = 0.20 * 200 = 40
Solving the first equation for Y and multiplying
the second equation by 10 to clear away the decimals
Y = 200 - X
2x + 4y = 400
2x + 4(200 - x) = 400
2x + 800 - 4x = 400
0 = 400 - 2x - 800 + 4x
0 = 2x - 400
400 = 2x
x = 200
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Write the equation for the line in standard form passing through (5, 7) and (3, 1).
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{5}}} \implies \cfrac{ -6 }{ -2 } \implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 3}(x-\stackrel{x_1}{5})[/tex]
[tex]y-7=3x-15\implies y=3x-8\implies -3x+y=-8\implies {\Large \begin{array}{llll} 3x-y=8 \end{array}}[/tex]
s 1}} 10of 0.9. E Juliet is incorrect because 90 is 1}} 10of 9.
For the given operation Julia is incorrect because the product of 10 and 0.9 will be 9.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that the expression is,10of 0.9, and its simplification is obtained as 90.
We have to find out why Juliet is incorrect.
Juliet is incorrect because when any decimal value is multiplied by 10 the obtained value is increased by its one's place,
=10 × 0.9
=9
Thus, for the given operation Julia is incorrect because the product of 10 and 0.9 will be 9.
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