Answer:
y = x-2
Step-by-step explanation:
Pick two points on the line
(0,-2) and (2,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0--2)/(2-0)
= (0+2)/(2-0)
2/2
=
We know the y intercept is -2 ( where it crosses the y axis)
y = mx +b is the slope intercept form of the equation where m is the slope and b is the y intercept
y = 1x -2
y = x-2
Answer: \(y=x-2\)
Step-by-step explanation:
I explained the other problem you asked, why couldnt you apply that info to this one? Either way, Ill explain it again.
We can see the slope intercept is -2, so b = -2
To get the slope, just from visualization. Look at the y value and x value direction for which you gotta take to get to the next coords. From the y-intercept, you go up 1 and then right 1. 1/1 = 1
A $300 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
Answer:
The answer is $270
Step-by-step explanation:
1. Take the original price.
2. Divide the original price by 100 and times it by 10.
3. Move the decimal one place to the left.
4. Minus this new number from the original one.
5. This will give you the discounted value.
I hope this helped! :)
Describe the relationship between average velocity of a car in motion versus the instantaneous velocity of the same car in motion. Which one matters more if you get pulled over on the freeway for speeding and why?
Answer:
During a typical trip to school, your car will undergo a series of changes in its speed. If you were to inspect the speedometer readings at regular intervals, you would notice that it changes often. The speedometer of a car reveals information about the instantaneous speed of your car. It shows your speed at a particular instant in time.
Step-by-step explanation:
The instantaneous speed of an object is not to be confused with the average speed. Average speed is a measure of the distance traveled in a given period of time; it is sometimes referred to as the distance per time ratio. Suppose that during your trip to school, you traveled a distance of 5 miles and the trip lasted 0.2 hours (12 minutes). The average speed of your car could be determined as
On the average, your car was moving with a speed of 25 miles per hour. During your trip, there may have been times that you were stopped and other times that your speedometer was reading 50 miles per hour. Yet, on average, you were moving with a speed of 25 miles per hour.
hope this helps might not be the answer your looking for but a better explanation on how too figure it out :))
the set of first five months of a year
Answer:
January, February, March, April, May
Step-by-step explanation:
Between last year and this year, the CPI in Blueland rose from 100 to 120 and the CPI In Redland rose from 100 to 115. Blueland's currency unit, the blue, was worth 80 cents (U.S.) last year and is worth 60 cents (U.S.) this year. Redland's currency unit, the red, was worth 20 cents (U.S.) last year and is worth 15 cents (U.S.) this year.
Find the percentage change from last year to this year in Blueland's nominal exchange rate with Redland and in Blueland's real exchange rate with Redland. (Treat Blueland as the home country.) Relative to Redland,
Blueland's nominal exchange rate with Redland decreased by 25% from last year to this year.
Blueland's real exchange rate with Redland decreased by 13.3% from last year to this year.
What is the percentage change in Blueland's exchange rate with Redland?The nominal exchange rate is ratio at which one currency can be exchanged for another. The real exchange rate account for changes in the inflation rate between two countries and provides accurate picture of the purchasing power of the currencies.
Here, Blueland's nominal exchange rate with Redland decreased by 25% from last year to this year, as the blue decreased in value relative to the red.
But Blueland's real exchange rate with Redland decreased by only 13.3%, as Blueland's inflation rate was higher than Redland's inflation rate which means Blueland's goods became relatively more expensive compared to Redland's goods.
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The final velocity of an object moving in one dimension is given by the formula v = u + at, where u is
the initial velocity, a is the acceleration, and t is the time.
Solve this equation for a.
a = (v + uyt
O a = t(v + U)
O a = t(v - u)
a = (v - u/t
Answer:
a = (v-u)/t
Step-by-step explanation:
v = u + at
subtract u from both sides
v - u = at
divide each side by t
(v-u)/t = a
Work out the size of angle x
I need help
Answer:
x = 43.34°
Step-by-step explanation:
cos x = 8/11
use your calculator to insert: shift cos x = 8/11
you'll get the measure of x
A baseball organization has 209 players. It wants to buy sweatshirts or jackets for players’ warmups.
Warm-up Type Price
Sweatshirt $38
Jacket $50
What is the difference in the total price of the sweatshirts and the jackets for all 209 players?
Enter your answer in the box.
Answer:
The answer is 2508
Step-by-step explanation:
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
how is finding 8x3/4 similar to finding 3/4 of 8
Answer: your answer would be 6
8*3=24/4 and 24/4=6
Step-by-step explanation: Hope this help :D
Answer:
Because in order to find 3/4 of 8, you must solve for 8 * 3/4.
A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."
I would appreciate Brainliest, but no worries.
if you invest $550.00 and your annual interest is 4%, what will be the interest
The annual interest is $22.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Given;
Amount invested= $550
Annual interest= 4%
SI= 550*4*1/100
=5.5*4
=22
Therefore, the simple interest will be $22.
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Work out percentage change to 2 decimal places when price of 97 is decreased to 90
Answer:
7.22?
Step-by-step explanation:
Suppose that you borrow $10,000 for four years at 7% toward the purchase of a car. Find the monthly payments and the total interest for the loan.
The monthly payments for the loan amount $10,000 is $132.56 and the total interest for the loan is $5363.27.
What is the formula for monthly payments for the loan?The formula for monthly payments for the loan is,
\(M.P. = \frac{P(r/n)}{1 - (1 + r/n)^-nt}\)
where, P is the initial amount
r is the rate
n is the period in a year
t is the number of years
Now it is given that,
Principle amount borrowed P = $10,000
Rate of interest, r = 7% = 0.07
Monthly Payment, so n = 12
Time, t = 4 years
Thus, Monthly payment of the loan is given as,
\(M.P. = \frac{P(r/n)}{1 - (1 + r/n)^-nt}\)
Putting the values we get,
\(M.P. = \frac{10,000(0.07/12)}{1 - (1 + 0.07/12)^-12*4}\)
Simplifying we get,
\(M.P. = \frac{(70/12)}{1 - (12.07/12)^-48}\)
or,
\(M.P. = \frac{5.833}{1 - (1.005)^-48}\)
Thus, we get
\(M.P. = \frac{5.833}{1 - 0.756}\)
or,
\(M.P. = \frac{5.833}{0.244}\)
Solving we get,
M.P. = $132.56
this is the required monthly payment for the given loan.
Now the total interest paid will be the difference of the total on monthly payments paid and the initial amount.
Thus,
Total interest of the loan = T.M.P - P
Therefore,
Total Monthly Payments = M.P x t x n
Putting the values we get,
Total Monthly Payments = 132.56 x 4 x 12
⇒ Total Monthly Payments = $6363.27
Therefore,
Total interest of the loan = 6363.27 - 10,000
⇒ Total interest of the loan = $5363.27
Thus, the monthly payments for the loan amount $10,000 is $132.56 and the total interest for the loan is $5363.27.
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In each diagram, line f is parallel to line g, and line t intersects lines f and g
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
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Is 3.777777... a rational number?
Answer:
3.777777777.... is a rational number
Step-by-step explanation:
3.777777777777777.............
Try this trick: for all (something)/9 is its repeat. Example: 7/9 = 0.77777....
so 3.777777.... is 3 7/9
So technically it is a rational number
Can someone help plsss it’s due in 2 days
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
10% of 200 is 20 :)
A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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five more than the product of two and a number, decreased by seven;
evaluate when a = 8
A 2-column table with 7 rows. Column 1 is labeled Key Words with entries five, more than, product, two, a number, decreased by, seven. Column 2 is labeled Replace with entries 5, +, times, 2, a, minus, 7.
Write and evaluate the expression. Then, complete the statements.
First, write the expression
.
Second,
8 in for the variable, a.
Third,
by using
.
The answer is
.
Answer:
First, write the expression
✔ 5 + 2a – 7
.
Second,
✔ substitute
8 in for the variable, a.
Third,
✔ simplify
by using
✔ order of operations
The answer is
✔ 14
Step-by-step explanation:
Edge
The expression will be written as ( 5 + 2a - 7) and the value of the expression will be 14.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We have to write the expression five more than the product of two and a number, decreased by seven.
The expression will be written as follows:-
E = 5 + 2a -7
Now putting the value for a = 8
E = 5 + 2( 8 ) -7
E = 5 + 16 -7
E = 21 - 7
E = 14
Therefore the expression will be written as ( 5 + 2a - 7) and the value of the expression will be 14.
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system of linear equations
3x − y = −11
−x + y = 5
The system of equations has a solution such that x = -3 and y = 2.
To solve the system of linear equations:
3x - y = -11
-x + y = 5
We can use the method of elimination:
Add the two equations together to eliminate y:
3x - y + (-x + y) = -11 + 5
Simplifying:
2x = -6
Divide both sides by 2:
x = -3
Substitute x = -3 into one of the equations to solve for y:
-x + y = 5
-(-3) + y = 5
3 + y = 5
Subtract 3 from both sides:
y = 2
Therefore, the solution to the system of equations is x = -3 and y = 2.
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The shorter leg of a right triangle is 7 ft shorter than the longer leg. The hypotenuse is 7 ft longer than the longer leg. Find the side lengths of the triangle.
Answer:
shorter leg = 21 ft
longer leg = 28 ft
hypotenuse = 35 ft
Step-by-step explanation:
Let's call the longer leg of the triangle "b", the shorter leg "a", and the hypotenuse "h"
Then we have the following two equations:
a = b - 7
h = b + 7
And we can use the Pythagorean theorem to relate all three sides of the triangle:
\(h^2=a^2+b^2\\(b+7)^2=(b-7)^2+b^2\\b^2+14b +49=b^2-14b+49+b^2\\0=b^2-28b\\0=b*(b-28)\)
Therefore there are two possible solutions to this equation: b = 0 or b = 28 ft.
So we take the one that is different from zero (since we are looking for the side of a triangle) That is: b = 28 ft
Then hypotenuse = 28 + 7 = 35 ft
and the shorter leg = 28 - 7 = 21 ft
Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes. (a) The domain is a group of people. Person x is related to person y under relation M if x and y have the same favorite color. You can assume that there is at least one pair in the group, x and y, such that xMy. (b) The domain is the set of all integers. «Ey if x +y is even. An integer z is even if z = 2k for some integer k.
Determine whether each relation is an equivalence relation. Justify your answer:
The given relation P is not necessarily an equivalence relationThe given relation P is an equivalence relation. All children of one mother is considered as one equivalence class.Therefore, the given relation E is an equivalence relation. For set of all even numbers and for the set of all odd numbers, the relation E is an equivalence relation. Thus, there are two equivalence classes.a) Take the relation P as it is presented.
A person's biological mother or father are the same as their own, respectively.
The relation P is therefore reflexive.
If person x and person y share the same biological mother or father, then x and y also share the same biological mother or father.
The relationship P is hence symmetric.
If person x and person y share the same same mother or father and if person y shares the same biological mother or father as person z, then it is not necessarily the case that person x shares the same biological mother or father as person z.
P is not always transitive as a result.
As a result, the relationship P is not always an equivalence connection.
b) Examine the relation M that is provided.
A person shares a biological mother with either themselves or themselves.
The relation M is therefore reflexive.
If person x and person y share the same biological mother, then so does person y.
The relationship M is hence symmetric.
If person x and person y have the same biological mother and if person y and person z share the same biological mother, then person x must share the same biological mother as person z.
M is hence transitive.
As a result, the relationship P is one of equivalence.
All offspring of a single mother are regarded as belonging to the same class.
d) X+X=2x is also an integer if x is an integer.
The relation E is therefore reflexive.
If x and y are integers and x+y is even, then y+x must likewise be even.
The relationship E is hence symmetric.
Assume x, y, and z are integers.
Assume that x+y are even. that is, for some integer j, x+y=2j.
Assume that y+z is also even. that is, for some integer k, y+z=2k.
Following that, x+z=2j-y+2k-y=2(j+k-y).
X+Z is also an integer because (j+k-y) is an integer.
As a result, the relation E that is supplied is an equivalence relation.
Therefore, the relation E is an equivalence relation for the set of all even numbers and the set of all odd numbers. there are two equivalence classes as a result.
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Complete question:
Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes.
(a) The domain is a group of people. Person x is related to person y under relation P if x and y have a common parent (i.e., x and y have the same biological mother or the same biological father or both). You can assume that there is at least one pair in the group, x and y, such that xPy. (b) The domain is a group of people. Person x is related to person y under relation M if x and y have the same biological mother. You can assume that there is at least one pair in the group, x and y such that xMy. (d) The domain is the set of all integers. xEy if x + y is even. An integer z is even if z = 2 k for some integer k.
Which represents 0.007?
A. 7 hundreds
B. 7 hundredths
C. 7 thousands
D. 7 thousandths
Answer:
D. 7 thousandths
Step-by-step explanation:
0.007 has three zeros before the non-zero digit. This is the reverse of a number with the thousand places (7000) where the non-zero digit has three zeroes after it.
Hence, 0.007 is 7 thousandths.
Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answer:
1023/4
Step-by-step explanation:
shown in the picture
The number of bacteria in a petri dish triples every month, if the dish started with 25 bacteria, how many will there be an 8 months?
Answer:
600
Step-by-step explanation:
25x3 (per month) therefore it would be 75 times 8
Answer:
164025
Step-by-step explanation:
How is this solved a history class comprised of 3 female and 10 male students , if the instructor of the class randomly chooses 9 students from class for an oral exam what is probation of 2 female and 7 make students selected
Answer:
0.306
Step-by-step explanation:
Using binomial probability,
\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)
The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?
Answer:
1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11
Step-by-step explanation:
Give me brainiest answer please! :D
F(x)= 3x^3-6x^2+4x-8
Rational root theorem: factors of 8, ±1, ±2, ±4, ±8. Root is -2. Other roots are complex.
The rational root theorem states that any rational roots of a polynomial must be a factor of the constant term divided by a factor of the leading coefficient. This means that in this case, any rational roots must be a factor of 8 divided by a factor of 3, or ±1, ±2, ±4, ±8.
To solve for the rational roots, we begin by dividing 8 by each factor to get the possible rational roots. We find that -2 is one of the possible rational roots, so we can conclude that -2 is a root of the polynomial.
To find the other roots, we can use synthetic division with -2 as the divisor. We find that the remainder is 0, so -2 is the only rational root. We can then use the quadratic formula to find the other two roots, which are complex.
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20 POINTS!!! PLEASE ANSWER
Answer: C
Step-by-step explanation:
\(5\left(4x+5\right)\)
\(\mathrm{Apply\:the\:distributive\:property}:\quad \:a\left(b+c\right)=ab+ac\)
\(=5\cdot \:4x+5\cdot \:5\)
\(\bf=20x+25\)
Someone help me with this it’s due!!!!
Hi the answer is 10.
The left side went from 18 to 6. So it got scaled down by a factor of 1/3.
If the bottom side is originally 30. It will get scaled down to 10 because 30*1/3 = 10.
Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = In x
Y = 1
Y = 2
X = 0
About the Y axis
I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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