The distance between J and L is (Gx/2)2 + (Gy/2)2. This proves that J is the midpoint of HL.
Given: GH is parallel to KL and GJ is congruent to K
To prove: J is the midpoint of HL
We can use the Midpoint Formula to prove that J is the midpoint of HL. The midpoint formula states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates. In this case, the x-coordinate of J is (Gx + Kx) ÷ 2 and the y-coordinate of J is (Gy + Ky) ÷ 2. Since GH and KL are parallel, Gx = Kx and Gy = Ky. Therefore, the x-coordinate of J is (Gx + Kx) ÷ 2 = Gx ÷ 2 and the y-coordinate of J is (Gy + Ky) ÷ 2 = Gy ÷ 2. Since GJ is congruent to KJ, Gx = Kx and Gy = Ky. Therefore, J is the midpoint of HL.
We can also use Distance Formula to prove that J is the midpoint of HL. The distance formula states that the distance between two points is the square root of the difference of the x-coordinates squared plus the difference of the y-coordinates squared. In this case, the distance between G and J is the square root of (Gx - Jx)2 + (Gy - Jy)2. Since GJ is congruent to KJ, Gx = Kx and Gy = Ky. Therefore, the distance between G and J is the square root of (Gx - Jx)2 + (Gy - Jy)2 = (Gx - Gx/2)2 + (Gy - Gy/2)2 which simplifies to (Gx/2)2 + (Gy/2)2. This is the same distance as the distance between J and L, since GJ is congruent to KJ, Gx = Kx and Gy = Ky. Therefore, the distance between J and L is (Gx/2)2 + (Gy/2)2. This proves that J is the midpoint of HL.
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factorise the following:
6 + 9y
Answer:
First find a number you can take out of both numbers.
In this case 3.
You get left with 2+3y
So the answer is 3(2+3y).
HELP, (a) only
In the pic above
A approach to geometrically represent complex numbers is by using the complex plane, commonly known as the Argand plane or the Gauss plane.
Explain about the Complex plain?A approach to geometrically represent complex numbers is by using the complex plane, commonly known as the Argand plane or the Gauss plane. The real and imaginary halves of a complex number are represented by displacements along the x and y axes, respectively, in what is essentially a modified Cartesian plane.
Similar to how we may represent the set of real numbers on a number line, we can represent the set of complex numbers on a complex plane. At the coordinates (0,0)left parenthesis, 0 comma, 0 right parenthesis, two number lines that make up the complex plane cross at a right angle.
You may think of the y-axis as the hypothetical axis.
The actual axes are on the x-axis.
In light of this, we can say:
A: (-2, 3i) (-2, 3i)
B: (-1, -i) (-1, -i)
C: (3, -4i) (3, -4i)
D: (4, I (4, i)
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please help me i need this soon please
The operations of functions results in another function which are shown as below.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
There are two functions given.
f(x) = x² + 7
g(x) = 2x + 1
7. Addition of functions
(f + g)(x) = f(x) + g(x)
= x² + 7 + 2x + 1
= x² + 2x + 8
8. Subtraction of functions
(f - g)(x) = f(x) - g(x)
= (x² + 7) - (2x + 1)
= x² - 2x + 6
9. (g - f)(x) = g(x) - f(x)
= (2x + 1) - (x² + 7)
= -x² + 2x - 6
10. Multiplication of Functions
(f . g)(x) = f(x) . g(x)
= (x² + 7) . (2x + 1)
= 2x³ + 14x + x² + 7
= 2x³ + x² + 14x + 7
11. Division of functions
[tex]\frac{f}{g}[/tex](x) = [tex]\frac{f(x)}{g(x)}[/tex]
= (x² + 7) / (2x + 1)
12. [tex]\frac{g}{f}[/tex](x) = [tex]\frac{g(x)}{f(x)}[/tex]
= (2x + 1) / (x² + 7)
Hence the operations of the functions are done.
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Input Output Rule
Input Output
−4 2
−1 2
−1 −2
1 0
2 3
Question 1
Does the table represent a function? If not, justify your reasoning.
Responses
A No, because (−1, 2) and (−1, −2) have the same input value.No, because (−1, 2) and (−1, −2) have the same input value.
B No, because (−4, 2) and (−1, 2) have the same output value..No, because (−4, 2) and (−1, 2) have the same output value..
C Yes, the table represents a function.Yes, the table represents a function.
D Yes, because on a graph (1, 0) will intercept the y-axis at 0.
Answer:
A. No, because (-1) and (-1, -2) have the same input value.
Step-by-step explanation:
Functions:So what exactly is a function? It's very similar to a relation where there is input and for each input we have some output and sometimes multiple. The difference is in a function there is only one output for each input. Now the outputs of two different inputs can be the same, such that the input 2 and 3 will both output 4 or any value, but we cannot have an input such as 2 outputting 3 and 4 since we can only have one output for each input.
In the table given, the input "-1" outputs "2" and -2" which means the table does not represent a function.
This makes "A" the correct answer to whether it's a function or not and explanation.
write the equation in slope-intercept form
m = -1/2; (0,-5)
What are the chances your flight will leave on time? To the right are a histogram and summary statistics for the percentage of flights departing on time each month from 2001 thru 2006. There is no evidence of a trend over time. (The correlation of On Time Departure % with time is r = - 0.006.) Complete parts a) through c) below. Find a 90% confidence interval for the true percentage of flights that depart on time. Interpret this interval for a traveler planning to fly. Choose the correct answer below. There is a 90% chance that the true mean monthly percentage of on-time departures is within the interval. We can be 90% confident that the interval contains the true mean monthly percentage of on-time departures. A randomly selected month has a 90% chance of having an on-time departure percentage within the interval. 90% of all months have on=time departure rates within the interval.
We can be 90% confident that the interval [76.4, 79.3] contains the true mean monthly percentage of on-time departures. This means that we are highly confident that the true mean monthly percentage of on-time departures lies within this interval.
To find the 90% confidence interval, we first need to calculate the margin of error. To calculate this, we need to use the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. The standard deviation for the given data is 2.2 and the sample size is 72 (6 years × 12 months). So, the standard error is calculated as 2.2/√72 = 0.44. The margin of error is then calculated by multiplying the standard error by the critical value for 90% confidence, which is 1.645. The margin of error is therefore 0.44 × 1.645 = 0.72. The confidence interval is then calculated by adding and subtracting the margin of error from the sample mean. The sample mean is 77.8, so the 90% confidence interval is 77.8 ± 0.72, or [76.4, 79.3]. This means that we are highly confident that the true mean monthly percentage of on-time departures lies within this interval.
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Find the surface area of the cylinder. Round your answer to the nearest tenth if necessary.A cylinder with diameter of 6 centimeters and height of 12 centimeters.
Answer:282.6 cm²
Step-by-step explanation:
The formula for the surface area of a cylinder is 2πr(r+h) where r is the radius and h is the height.
Since the diameter is given, we can find the radius by dividing the diameter by 2, so r = 6/2 = 3 cm.
Then we can plug in the values into the formula:
2πr(r+h) = 2π(3)(3+12) = 2π(3)(15) = 90π cm²
To round the answer to the nearest tenth, we can use the following method:
If the digit in the thousandths place is less than 5, we keep the hundredths digit as is.
If the digit in the thousandths place is greater than 5, we round up the hundredths digit.
Since π is an irrational number it can't be rounded to the nearest tenth. But an approximation for π is 3.14 and 90π is approximately 282.6 cm².
Guys pls help me
1) 13 - 5x-4/6 = 10x - 8
2) 6(14x-21) = 14(18x - 6)
1. The value of x is 1.35
2. The value of x is 0.25
How to find x value in equation?The first step in finding the value of x in an equation is to isolate the variable. To do this, you will need to use the appropriate rules of algebra to rearrange the equation so that x is on one side of the equation and all other terms are on the other side. Then, you can solve the equation by using the appropriate method (e.g. factoring, quadratic formula, etc.) to solve for x.
1) 13 - 5x- 4/6 = 10x - 8
13+ 8- 4/6 = 10x + 5x
21-4/6 = 15x
20.3 = 15x
x = 1.35
2) 6(14x-21) = 14(18x - 6)
84x - 126 = 252x - 84
-126 + 84 = 252x - 84x
-42 = 168x
x = 0.25
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(c) If a plane travels at x-110 mph for 3.5 hr, write an expression that represents the distance traveled. The expression that represents the distance traveled is mi. X
Answer:
Step-by-step explanation:
The distance traveled by the plane can be represented by the expression: distance = speed x time
In this case, the speed of the plane is given as x-110 mph and the time it travels is 3.5 hours.
So the expression for the distance traveled is:
distance = (x-110) * 3.5 miles
This expression represents the distance traveled in miles. The variable x represents the speed of the plane in mph.
1a. Buc-ee’s is having a promotion for diesel gas. If you buy 3 gallons or less, you will pay the normal price of $2.68 per gallon. If you buy more than 4 gallons, you pay $2.41 per gallon. Write a piecewise function for the price of n gallons of diesel at Buc-ee’s.
The piecewise function for the price of n gallons of diesel at Buc-ee’s would be = $1.00
How to calculate the price per gallon?The price paid for 3 gallons or less = $2.68 per gallon
That is, $2.68 =/< 3 gallons
Therefore $x= 1 gallon
Make X the subject of formula;
X = 2.68/3
X= $0.89
The price paid for 4 gallons or less = $2.41 per gallon
That is, $2.41 per =/< 4 gallons
Therefore $y = 1 gallon
Make y the subject of formula;
y = 2.41/4
y = $0.60
From the both outcomes, it can be concluded that the n gallons of diesel at Buc-ee’s would be approximately $1.00.
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40
Solve for x.
X
48
60
Will give brainiest!!
x/40 = 48/60
x= 4/5 × 40
x= 4 × 8
x = 32
Answer:
32
Step-by-step explanation:
by use of similarity and enlargement the answer can be evaluated.
use the formula: IMAGE LENGTH ÷OBJECT LENGTH.
HELP!!! You go out to dinner and the bill comes to $40.94. How much should you tip if you want the tip to be 15.0% of the bill? Express the dollar amount to the nearest cent
On average, 15-20% of the cost is left as a gratuity. Add the desired decimal percentage tip to the total amount of the check and multiply the result to determine the tip.
How much should you leave for tip?
15% to 20% of the tab is typically left as a gratuity. Add the decimal % tip you want to leave to the total check amount to compute the tip. You would multiply 1 by 0.20 to reach 1.20 if you wanted to leave a 20% tip. To calculate the total amount you would tip, multiply the bill by 1.20.
It is advised that you leave at least 10% of your tip, even if the service was subpar. * Because some restaurants tack on a gratuity, carefully review your tab. Whether or not you should add to that is up to you. In sit-down restaurants, the tip for the wait staff should be between 15 and 20 percent of the pretax total.
To find out the tip amount, we need to first calculate 15% of the bill:
$40.94 x 0.15 = $6.14.
Rounding this amount to the nearest cent, we get $6.14 as the tip amount.
Therefore, the tip total is$ 7.00
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NO LINKS!! Please help me with this Domain and Range
Answer:
Domain: (-∞, ∞)
Range: [2, ∞)
Input: (f) = 2
Output: f(1) = 3
Step-by-step explanation:
DomainThe domain is the set of all possible input values (x-values).
There are arrows at both endpoints of the graphed continuous line, indicating that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted:
Domain: (-∞, ∞)RangeThe range is the set of all possible output values (y-values).
Assuming that each square is 1 unit, from inspection of the graph, the minimum y-value is y = 2.
The arrow at the endpoint in quadrant I indicates that the line continues horizontally at y = 2.
The arrow at the endpoint in quadrant II indicates that the line continues indefinitely towards y = ∞.
Therefore, the range of the relation is restricted:
Range: [2, ∞)InputTo find the value of f(4), find x = 4 and trace up to the line then read the y-value at that point. Therefore:
f(4) = 2OutputTo find the x-value when y = 3, find y = 3 and trace horizontally to the line then read the x-value at that point. Therefore:
f(1) = 3Please need help on this
Answer:
1) x² + 4x +1 = 1 (You have to put in +1)
2) True
Step-by-step explanation:
1)
2) A range is a representation of values between two points. When you're calculating the range of a parabola, you only know one of those points to start with. Your parabola will go on forever either up or down, so the end value of your range is always going to be ∞ (or −∞ if your parabola faces down.)
Answer: the answer is true
Step-by-step explanation: There are an infinite amount of numbers the parabola can hit, and there is no limit
hence the statement is true
The perimeter of a rectangle is 20 cm. If the area of the rectangle is 16 cm^2 find the length and width of the rectangle. Let the length be the smaller of the two numbers, and the width the larger.
length =_____ cm
width = ______cm
A rectangle's perimeter is 40 cm. The rectangle's length is 2 cm longer than its width. Find the rectangle's length and width, which are both 6 cm.
What is meant by rectangle?A quadrilateral is a shape with two opposed sides that are equal and parallel. It is a polygon with four sides and four 90-degree angles. The shape of a rectangle is two dimensional.As a result, every square is a rectangle since it is a quadrilateral with right angles at each of its four corners. But not all rectangles are squares; for a shape to be a square, all of its sides must be the same length.All of a rectangle's interior angles are parallel, making it a parallelogram. In order for a rectangle to be a rhombus, all of its sides must be equal. A rhombus is a parallelogram with all of its sides being equal. If this requirement is met, it becomes a square. A rhombus has equal opposite angles.Perimeter of rectangle [tex]$=40 \mathrm{~cm}$[/tex] (given)
condition :- length [tex]=2 \times$ breadth $+2$[/tex]
[tex]$\Rightarrow 1=2 \mathrm{~b}+2[/tex]
perimeter [tex]$\mathrm{p}=2(1+\mathrm{b})=40$[/tex]
[tex]& \Rightarrow 2(2 b+2+b)=40 \\[/tex]
[tex]& \Rightarrow 2(3 b+2)=40 \\[/tex]
[tex]& \Rightarrow 6 b=40-4=36 \\[/tex]
[tex]& \therefore b=6 \mathrm{~cm}[/tex]
[tex]1=2 \times 6+2=12+2=14 \mathrm{~cm}[/tex]
[tex]\therefore \text { length }=14 \mathrm{~cm} \text {, breadth }=6 \mathrm{~cm}[/tex]
The complete question is:
The perimeter of a rectangle is 40 cm. The length of rectangle is more than double its breadth by 2 cm. Find the length and breadth of rectangle .
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Which of the following are true statements?
Check all that apply.
A. f(x) = 2√√x has the same domain and range as f(x)=√x
B. The graph of f(x) = 2√ will look like the graph of f(x)=√x
but will stretch it vertically by a factor of 2.
C. The graph of f(x) = 2√x will look like the graph of f(x)=√x
but will shrink it vertically by a factor of 1/2.
D. The graph of f(x) = 2√x will look like the graph of f(x)=√x
but will shrink it horizontally by a factor of 1/2.
Statements A and C are correct.
How to solve the problem?We have to select the true statements from the given four statements in options.
step 1:
I think the statements A and C are true from the mathematical point of view.
If the original function is y=[tex]\sqrt{x}[/tex] and then by reflecting it about the x-axis
the equation will become y= - [tex]\sqrt{x}[/tex] and then shrinking it vertically by a
factor of 1/2 the function will finally become y= 1/2 [tex]\sqrt{x}[/tex]
Hence, statement A is true.
step2:
Again, the original function y= [tex]\sqrt{x}[/tex] has domain x ≥ 0 and range y ≥ 0, but in the transformed equation y=-1/2 [tex]\sqrt{x}[/tex] has domain same as original equation i.e. x ≥ 0 but the range is different i.e. y ≤ 0.
Hence, statement C is also true.
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match each term with its definition. experimental group dependent variable control group operational definition independent variable
A dependent variable is precisely what it sounds like, just like an independent variable. It is something on which other elements depend.
A test score, for instance, may be a dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were. Typically, when attempting to establish a connection between two variables, the goal is to determine what causes the dependant variable to vary in the manner that it does.
Many people struggle to recall which variable is the independent variable and which variable is the dependent variable.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Label the following topographic map. Click on a label below the map to select it, and then click on the appropriate box
on the map to place the label. (Increments for contour lines is 50 ft). Please Help Thank You!
Contour Interval: The contour interval is the difference in elevation between two adjacent contour lines. In this case, the contour interval is 50 feet, as indicated in the bottom-left corner of the map.
What is contour lines?Contour lines are lines on a map that connect points of equal elevation above a reference surface, usually sea level. They indicate the steepness of a terrain or landform and are often used to represent hills, valleys, and other relief features.
Ridge Line: A ridge line is a line formed by two or more contour lines that form a peak. In this map, the ridge line is marked by the contour lines labeled 1200 and 1250.
Valley: A valley is a line formed by two or more contour lines that form a low point. In this map, the valley is marked by the contour lines labeled 950 and 1000.
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A student measures the length,width, and height of a fish tank. She finds that the fish tank is 105cm long, 75cm wide,and 80.5 cm high. What is the volume of the fish tank? Show your work. Use scientific notation and show the correct number of significant figures in your answer
The volume of the fish tank is 633,957.5 cubic cm or 0.634 cubic meter.
The formula for calculating the volume of a cuboid is
= length × breadth ×height
Given :
the length of fish tank = 105 cm
The width of fish tank= 75 cm
The height of fish tank= 80.5 cm
So, the volume of the fish tank =105×75 ×80.5
=633,957.5 [tex]cm^{3}[/tex]
In metric units ;
1 meter = 100 cm
So, converting all the dimensions into metric units.
length of fish tank = 1.05 m
width of fish tank = 0.75 m
height of fish tank = 0.805 m
So, the volume of fish tank = 1.05 x 0.75 x 0.805
= 0.6339575 [tex]m^{3}[/tex] or
= 0.634 [tex]m^{3}[/tex]
Determine the values of p and q for which (-4,-3) will be solution of the system px+qy=-26 and qx-py = 7
Answer:
Step-by-step explanation:
here goes your solution down
HELP FAST!! WILL MARK BRAINLYISNT IF RIGHT ANSWER!
As a geologist, you catalog the weights of rocks. Since many countries use the metric system, the protocol is to have the weights in kilograms for consistency. According to the tag, 2 such rocks weigh 20 ounces each. What is the total weight of the rocks, in kilograms, if a kilogram is 35.2 ounces?
0.57
0.88
1.14
1.76
3.52
1.14 kg is the total weight of the rocks, in kilograms.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
2 such rocks weigh 20 ounces each.
i.e. weight of 2 rocks = 20*2
=40 ounces
now,
a kilogram is 35.2 ounces
the total weight of the rocks, in kilograms = 40/35.2
=1.14 kg.
Hence, 1.14 kg is the total weight of the rocks, in kilograms.
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One side of a right triangle is known to be 25 cm exactly. The angle opposite to this side is measured to be 60 with a possible error +_ 0.5
a. Use differentials to estimate the errors in the adjacent side and the hypothenuse.
b. Estimate the percentage errors in the adjacent side and hypothenuse.
The estimate errors in the adjacent side and the hypothenuse are ≅ ±0.29 cm and ≅ ±0.145 cm respectively. The percentage errors in the adjacent side and hypothenuse are 2.009% & 0.502%.
Hypothenuse y₁ = 25/sin x = 25cosec x
Adjacent y₂ = 25/tan x = 25cot x
Opposite angle is 60° = π/3
Possible error, dx ≅ ±0.5° = 0.5 × π/180 = ±π/360
Differentiating y₁ = 25cosec x
dy₁ = -25(cosec x · cot x)dx
dy₁ = -25(cosec (π/3) · cot (π/3))×±π/360
= -25(2/√3)(1/√3)(±π/360)
= ≅ ±0.145 cm
Similarly
dy₂ = -25 cosec²x .dx
dy₂ = -25 cosec²(π/3) .×±π/360
= -25(2/√3)²×±π/360
≅ ±0.29 cm
So the errors in the hypothenuse = ±0.145 cm
Error in the adjacent side = ±0.29 cm
Percentage error in the adjacent side = 0.29/(25/√3) = 2.009 %
Percentage error in the hypothenuse = 0.145/(25/sin60) = 0.502%
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translate and solve a number by 3/5 is - 1/7
Answer:
False, if this is not what you mean comment and tell me
Step-by-step explanation:
a convex pentagon has exterior angles with measures 75°, 62°, 68°, and 101°. the measures of the last exterior angle is?
A convex pentagon has five exterior angles, and the sum of the measures of these angles is equal to 360 degrees.
We know that the measures of the exterior angles of a convex pentagon are 75°, 62°, 68°, and 101°, we need to find the measure of the last exterior angle.
To find the measure of the last exterior angle, we can use the formula:
Sum of all exterior angles = (n-2) x 180
where n is the number of sides in the polygon.
For a pentagon, n = 5, so the sum of all exterior angles is (5-2) x 180 = 540 degrees
So we can use this information to find the measure of the last exterior angle:
75 + 62 + 68 + 101 + x = 540
x = 244
Therefore, the measure of the last exterior angle is 244 degrees.
A landscaper needs to mix a 70% pesticide solution with 20 gal of a 15% pesticide solution to obtain a 65% pesticide solution. How many gallons of the 70% solution must he use?
(blank) gal of the 70% pesticide solution is needed to make a final solution that is 65% pesticide.
Step-by-step explanation:
70% = 0.7
15% = 0.15
65% = 0.65
x = gallons of the 70% solution.
0.7x + 0.15×20 = 0.65(x + 20)
70% + 15% solution = 65% solution (which has a many gallons as the combination of x and 20 gallons).
0.7x + 3 = 0.65x + 0.65×20
0.05x + 3 = 13
0.05x = 10
x = 10/0.05 = 200 gallons
so, 200 gal of the 70% pesticide solution is needed to make combined with 20 gal of the 15% solution a final solution that is 65% pesticide.
Use the following information for determining sound intensity. The number of decibels
The level of the sound with the given properties is 200
How to find the level of soundFrom the question, we have the following parameters that can be used in our computation:
I0 = 10^-12
I = 10^-8
Also, we have the equation to be
β = 10log(I I0)
Substitute the known values in the above equation, so, we have the following representation
β = 10 * log(10^-12 * 10^-8)
Evaluate
β = -200
Hence, the level of sound is -200
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Complete question
use the following information for determining sound intensity. The level of sound β in decibels, with an intensity of I, is given by β = 10log(I I0), where l0 is an intensity of 10^-12 watt per square meter, corresponding roughly to the faintest sound that can be heard by the human ear find the level of sound β. l = 10^-8 watt per m^2 (quiet radio)
Suppose that A is countable set. Show that the set B is also countable if there is an onto function f from A to B
Let A and B be two countable sets. Then there exists a bijective function f from A to B.
Since f is onto, for every element b in B, there exists a unique element a in A such that f(a)=b. This implies that the number of elements in B is equal to the number of elements in A, i.e. B is also countable.
Formally, if A = {a1, a2, ..., an}, then B = {f(a1), f(a2), ..., f(an)}. Since f is onto, B has n elements, which implies that B is countable.
Let A be a countable set and let B be a set with an onto function f from A to B. Since A is countable, it can be written as an infinite sequence of distinct elements an, where n is a natural number. To show that B is also countable, we can construct a one-to-one correspondence between the elements of A and B. We can do this by assigning bi to the element ai in A, for each i. Thus, we can write B as an infinite sequence of distinct elements bn, where n is a natural number. Therefore, B is countable.
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Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350,000. The APR is 3.35%. The last payment will be the balloon payment of the full principal.
a. Find the total number of monthly payments, not including the final balloon payment.
b. Find the amount of each monthly payment if the payments are interest-only. Round to the nearest cent.
c. Find the difference between the regular monthly payment and the balloon payment, to the nearest hundred dollars.
d. If the mortgage was not a balloon mortgage, what would be the amount of the monthly payment, rounded to the nearest cent?
Total number of monthly payments, not including the final balloon payment is $1,195.77
How to solve the problem?The monthly payment is the sum that must be paid each month for the duration of the loan to cover the principal balance. When a loan is taken out, not only the principal—the amount that was initially loaned out—but also the interest—which accrues—must be repaid.
Step1
M = 350,000(0.071/12)(1+0.071/12)² /(1+0.071/12)¹² =3,618.02
M = P(r/12) (1+r/12)¹²×n/(1+r/12)¹²×n -1
Step2:
3,618.02 × 12 × 12 = 520,994.88
The total paid is the product of the monthly payment and the number of payments.
520,994.88 - 350,000 = 170,994.88
= 170,994.88÷143
= 1,195.77
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determine the displacement (in m) of the object after a time of 6 seconds. (if negative, then enter a negative answer.)
Displacement is the difference between the initial position and the final position of an object.
We can determine the displacement with the following formula:
Displacement = Final position - Initial position
In this case, the initial position is 0 m and the time is 6 seconds. We can find the displacement using the equation of motion:
Displacement = Initial Velocity × Time + ½ × Acceleration × Time2
Given that the acceleration of the object is 4 m/s2, the equation of motion becomes:
Displacement = 0 + ½ × 4 × 62
Therefore, the displacement of the object after 6 seconds is 72 m.
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Hi my question is how is 14-4x3+3 simplified
Answer:
- 4x^3 + 17
Step-by-step explanation:
14 - 4x^3 + 3
- 4x^3 + 17
