Explanation:
Let's replace y with 0 and solve for x.
-x+6y = 2
-x+6*0 = 2
-x + 0 = 2
-x = 2
x = -2
We have x = -2 pair up with y = 0 to get the ordered pair (x,y) = (-2,0)
This is the x intercept of the graph. It's where the line crosses the x axis. You can use a tool like Desmos or GeoGebra to confirm.
Since we have infinitely many numbers to replace x or y with, we have infinitely many solution points on this line.
Each point is of the form (-2+6k, k) where k is any real number. If k = 0, then it leads to (-2,0) found earlier.
Determine the number of monthly payments of $611.09 that would be required to pay off the loan of $128,000 at 4% interest.
The number of monthly payments required to pay off the loan of $128,000 at 4% interest is 232.48 which is equivalent to approximately 232 payments.
How do we determine the number of monthly payments for the loan?To determine the number of monthly payments required to pay off a loan, you can use the formula for loan amortization: n = (-log(1 - B/A * r)) / log(1 + r)
Where: n = number of monthly payments, A = loan amount ($128,000), B = monthly payment ($611.09), r = monthly interest rate (4% / 12 months = 0.0033)
The number of monthly payments for the loan is plugged and computed as:
n = (-log(1 - $128,000/$611.09 * 0.0033)) / log(1 + 0.0033)
n = (-log(1 - 0.0208)) / log(1.0033)
n = (-log(0.9792)) / log(1.0033)
n = 21.8068 / 0.093984
n = 232.48 payment.
Read more about monthly payments
brainly.com/question/28106777
#SPJ1
why is it important to understand the concept of interest
It is important to understand the concept of interest beacause it is a part of our life and it hels us to understand the economic situation of ourselves.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have.
There are two types of interest commonly studied.
1)
Simple interest
2)
Compound interest
Now,
Simple interest is the interest calculated only on the principal year after year.
Whereas compound interest is the interest calculated on the principal as well as the interest after the first year.
Example:
Principal = $100
Rate = 10%
Time = 2 years
Simple interest after two years.
= 2 x (10% of 100)
= 2 x (1/10 x 100)
= 2 x 10
= $20
Compound interest after two years.
Ist year:
= (10% of 100)
= (1/10 x 100)
= $10
2nd year:
= 10% of (100 + 10)
= 1/10 x 110
= $11
So,
= 10 + 11
= $21
Thus,
The concept of interest is given above.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ9
What does the notation f(2) mean?
multiply fby 2
the output (y-value) when x = 2
O the value of x when the output is 2
Evaluate f(2)=
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
y = f(x) represents a function with output value as y and x as an input in the function.
Therefore, f(2) represents value of function (y) at x = 2
so the correct choice here would be : " the output (y - value) when x = 2 "
4x
Store A $25 for a 45 minute lesson
Store B. $30 for a 1 hour lesson
Store C $45 for a 1.5 hour lesson
Store D. $80 for three 1 hour lessons
Julle wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST dea
4x A
4x B
x
C
4x D
Store B
Store A
Store D
Store C
The store with the best deal is given as follows:
Store D.
How to obtain the store with the best deal?The store with the best deal is obtained applying the proportions in the context of the problem.
The best deal is the store with the lowest cost per hour, and the cost per hour is obtained dividing the total cost by the number of hours.
Hence the hourly cost for each store is obtained as follows:
Store A: 25/0.75 = $33.3 per hour. (45 minutes = 45/60 hour = 0.75 hour).Store B: $30/1 = $30 per hour.Store C: $45/1.5 = $30 per hour.Store D: $80/3 = $26.7 per hour -> best deal.More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Please verify my answer. I am not sure if it is correct.
now, we're making the assumption we're simply doing an identity proof, so
[tex]sec(\theta )-tan(\theta )sin(\theta )=\cfrac{1}{sec(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE 1st step} }{\cfrac{1}{cos(\theta )}-\cfrac{sin(\theta )}{cos(\theta )}\cdot sin(\theta )}\implies \cfrac{1}{cos(\theta )}-\cfrac{sin^2(\theta )}{cos(\theta )}\implies \cfrac{1-sin^2(\theta )}{cos(\theta )}\implies \cfrac{cos^2(\theta )}{cos(\theta )} \\\\\\ cos(\theta )\implies \cfrac{1}{sec(\theta )}[/tex]
What is the value of 6[4-94]?
O -36
O-33
O-32
O-30
Answer:
-30
Step-by-step explanation:
Required information
[The following information applies to the questions displayed below.]
University Car Wash built a deluxe car wash across the street from campus. The new machines cost $219,000 including
installation. The company estimates that the equipment will have a residual value of $19,500. University Car Wash also
estimates it will use the machine for six years or about 12,500 total hours. Actual use per year was as follows:
Year
123456
Hours Used
2,800
1,400
1,500
2,500
2,300
2,000
Answer:
Step-by-step explanation:
Calculate the total hours used: We add up the hours used each year to find the total hours used:
2,800 + 1,400 + 1,500 + 2,500 + 2,300 + 2,000 = 12,500
Calculate the total depreciation: We subtract the residual value from the cost to find the total depreciation:
$219,000 - $19,500 = $199,500
Calculate the annual depreciation expense: We divide the total depreciation by the number of years to find the annual depreciation expense:
$199,500 / 6 = $33,250
Calculate the depreciation expense per hour: We divide the annual depreciation expense by the estimated total hours to find the depreciation expense per hour:
$33,250 / 12,500 = $2.66
So the depreciation expense per hour is $2.66.
Calculate the depreciation expense for each year: We multiply the hours used each year by the depreciation expense per hour to find the depreciation expense for each year:
Year 1: 2,800 * $2.66 = $7,448
Year 2: 1,400 * $2.66 = $3,724
Year 3: 1,500 * $2.66 = $3,990
Year 4: 2,500 * $2.66 = $6,650
Year 5: 2,300 * $2.66 = $6,118
Year 6: 2,000 * $2.66 = $5,320
So the depreciation expense for each year is:
Year 1: $7,448
Year 2: $3,724
Year 3: $3,990
Year 4: $6,650
Year 5: $6,118
Year 6: $5,320
Find the probability.
10) A die is rolled 20 times and the number of twos that come up is tallied. Find the
probability of getting exactly two twos. Round to the nearest thousandth when necessary.
The probability of getting two twos is 0.003
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
probability = sample space/total outcome
probability of getting two = 1/6
probability of getting two twos = 1/36
getting two two can only 10times = 1/36 ÷ 10
= 10/36 = 0.003 (nearest thousandth)
therefore the probability of getting two twos in 20 rolls is 0.003( nearest thousandth)
learn more about probability from
https://brainly.com/question/24756209
#SPJ1
3 1/2x - 5 1/3x , x = 2/5
The value of the expression is -11/15
How to determine the value of the expressionIt is important to note that algebraic expressions are expressions having factors, constants, variables, coefficients and terms.
From the information given, we have that;
3 1/2x - 5 1/3x
turn into improper fractions
7x/2 - 16x/3
Now, let's determine the value by substituting the value of x as 2/5 in the expression, we have;
7(2/5)/2 - 16(2/5)/3
Multiply the values
14/5/2 - 32/5 /3
Take inverse of the denominator
14/5 ×1/2 - 32/5 × 1/3
7/5 - 32/15
21 - 32/15
-11/5
Hence, the value is -11/15
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
The equation $x^2 + 6x + y^2 + 6y = 18$ represents a circle. What is its center?
Answer:
Center = (-3, -3)
Step-by-step explanation:
[tex](x-h)^2+(y-k)^2=r^2\\\\Center=(h,k)[/tex]
[tex]x^2+6x+y^2+6y=18\\(x^2+6x \,\,\,\,\,\,\,) + (y^2+6y\,\,\,\,\,\,\,)=18\\\\\frac{6}{2} =(3)^2=9\,\,\,\,\,\,\,\,\,\,\,\,\,\, \frac{6}{2}=(3)^2 =9\\\\(x^2+6x+9)+(y^2+6y+9)=18+9+9\\(x+3)^2+(y+3)^2=36\\\\Center=(-3,-3)[/tex]
The relationship between the amount of energy released by an earthquake and its magnitude is described by this formula. Here E is energy, in joules, and M is magnitude. Approximately how much energy is released by a magnitude 5 earthquake? Select the correct answer.logE=5.24+1.44M
Approximately 2.51 x 10¹² joules of energy is released by a magnitude 5 earthquake.
What is a logarithmic equation?A logarithmic equation is an equation that involves a logarithmic function. A logarithmic function is the inverse of an exponential function, and it represents the exponent to which a given base must be raised to obtain a given number.
The formula that relates the energy released by an earthquake to its magnitude is given by:
logE = 5.24 + 1.44M
To find the amount of energy released by a magnitude 5 earthquake, we can substitute M = 5 into the formula and solve for E.
logE = 5.24 + 1.44(5)
logE = 5.24 + 7.2
logE = 12.44
Now we need to convert this logarithmic value to a regular value of E. We can do this by taking the antilogarithm (or exponentiating) both sides of the equation.
10⁽ˡᵒᵍᴱ⁾ = 10⁽¹²ॱ⁴⁴⁾
E = 2.51 x 10¹² joules
Therefore, approximately 2.51 x 10¹² joules of energy is released by a magnitude 5 earthquake.
To learn more about the logarithmic equations, visit:
https://brainly.com/question/23268551
#SPJ1
After putting the expression 4x² + x4 -8 -5 into Standard Form, what would be the leading
coefficient?
The leading coefficient of the expression is 1
How to determine the leading coefficient of the expressionFrom the question, we have the following parameters that can be used in our computation:
4x² + x4 -8 -5
When written in standard form, we have
x^4 + 4x^2 - 8 - 5
Evaluate the like terms
x^4 + 4x^2 - 13
The leading coeffiicient is the coefficient of the term with highest power
In this case, it is
Coefficient = 1
Hence, the value is 1
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
How much pure alcohol must a pharmacist add to 10^3 of a 10% alchohol solution to strengthen it to a 70% solution? (ASAP)
Answer:
60% i mean it sounds right
Step-by-step explanation:
Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
-4
-1
-2
The slope of the line on the graph will be a negative one. Then the correct option is A.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
From the graph, the two points are (-2, 2) and (2, -2). Then the slope is given as,
m = (- 2 - 2) / (2 + 2)
m = - 4 / 4
m = - 1
The slope of the line on the graph will be a negative one. Then the correct option is A.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ1
The complete question is attached below.
Figure 1 and figure 2 are right triangles.
two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 7 units long
What scale factor was used to produce Figure 2 from Figure 1?
Answer:
The answer
Step-by-step explanation:
Figure 1 figure
3/4
If the diameter of the pie is ten inches, the approximate arc length of one slice of pie is.
Answer:
It depends on the amount of slices.
Step-by-step explanation:
The diameter of the pie is 10 inches. Multiply this by π and we get approximately 31.4. Basically just divide it by the number of slices. For example, if there were six slices, 31.4/6=5.23, so that's the arc length of one slice.
please help me answer this :((
a. The number of pizzas the pizzeria must sell today for employees to receive the bonus will be 78 pizza.
b. The percent decrease in the number of pizzas sold today compared to yesterday is 7.69%.
How to calculate the valuea) To determine the number of pizzas the pizzeria must sell today for employees to receive the bonus, we need to calculate 20% of the 65 pizzas sold yesterday. 20% of 65 pizzas is 0.20 * 65 = 13. So, the pizzeria must sell 65 + 13 = 78 pizzas today for employees to receive the bonus.
b) To calculate the percent increase or decrease in the number of pizzas sold today compared to yesterday, we need to divide the difference between the two days' sales by the number of pizzas sold yesterday and multiply by 100.
((60 - 65) / 65) * 100
= (-5 / 65) * 100
= -7.69%
Learn more about percentages on:
https://brainly.com/question/24304697
#SPJ1
Craig has a job waiting tables where he earns $3.35 per hour plus tips. Craig earned $73.96 in tips during his shift yesterday.
Q.If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
A.y = 3.35x - 73.96
B.y = 73.96x + 3.35
C.y = 73.96x - 3.35
D.y = 3.35x + 73.96
Answer:
The correct answer is D. y = 3.35x + 73.96.
Step-by-step explanation:
D. y = 3.35x + 73.96
Find echelon form of this augmented matrix written so 1's on the diagonal
1 -1 2 400
1 0 0 900
1 -3 7 -300
The echelon form of the given augmented matrix with 1's on the diagonal is:
1 -1 0 1000
0 1 0 1100
0 0 1 300
What is the echelon form of this matrixTo find the echelon form of the given augmented matrix with 1's on the diagonal, we perform row operations to eliminate the entries below the diagonal. The goal is to get the matrix in row echelon form. Here are the steps:
Step 1: Subtract the first row from the second and third rows to eliminate the 1's in the first column below the diagonal:
1 -1 2 400
0 1 -2 500
0 -2 5 -700
Step 2: Add twice the second row to the third row to eliminate the -2 below the diagonal:
1 -1 2 400
0 1 -2 500
0 0 1 300
Step 3: Add 2 times the third row to the first row and add 2 times the third row to the second row to eliminate the entries above the diagonal:
1 -1 0 1000
0 1 0 1100
0 0 1 300
Learn more on augmented matrix here;
https://brainly.com/question/12994814
#SPJ1
What is the result when the number 45 is increased by 57%?
Answer: The result when the number 45 is increased by 57% is approximately 70.65.
Step-by-step explanation:
To find the result when the number 45 is increased by 57%, we need to calculate 45 * (1 + 0.57), where 0.57 represents 57% as a decimal.
Performing the calculation, we get:
45 * (1 + 0.57) = 45 * 1.57 = 70.65
So, the result when the number 45 is increased by 57% is approximately 70.65.
Answer:
70.65
Step-by-step explanation:
The new value =
45 + The value of the percentage increase =
45 + (57% × 45) =
45 + 57% × 45 =
(1 + 57%) × 45 =
(100% + 57%) × 45 =
157% × 45 =
157 ÷ 100 × 45 =
157 × 45 ÷ 100 =
7,065 ÷ 100 =
70.65
The iced tea can is made from a sheet of aluminum that weighs 0.01
ounce per square inch. You receive $0.40 per pound of aluminum that
you recycle. How much do you earn for recycling 24 iced tea cans?
You would earn $0.006 for recycling 24 iced tea cans.
How to find the earning for the recyclingTo determine the amount earned from recycling 24 iced tea cans, we need to find the total weight of the aluminum used in those cans and then convert that weight to pounds.
The total weight of the aluminum used in 24 cans as follows:
24 cans * 0.01 ounce per square inch = 0.24 ounces
Converting ounces to pounds, using a conversion factor of 1/16:
0.24 ounces / 16 ounces per pound = 0.015 pounds
The total amount earned:, since each pound is $0.40
0.015 pounds * $0.40 per pound = $0.006
Learn more about ounce calculations at:
https://brainly.com/question/23922003
#SPJ1
Write the phrase as an expression
the sum of 18 and 35:
6 times 50:
25 less than a number b:
a number x divided by 4:
the total of a number t and 11:
100 decreased by a number k:
Answer:
1. 18 + 35
2. 6 * 50
3. b - 25
4. x / 4
5. t + 11
6. 100 - k
Step-by-step explanation:
The graph of a function is shown below. Describe the relationship between the number of gallons of gas and the cost in dollars. Explanation too please
The relationship between the number of gallons of gas and the cost in dollars is: C. The cost of gas is $3.75 per gallon.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
x represent the number of gallons of gas.k is the constant of proportionality.y represent the cost of gas in dollars.Next, we would determine the constant of proportionality (k) for the relationship between the number of gallons of gas and the cost in dollars on this graph as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 7.5/2
Constant of proportionality, k = $3.75.
Read more on proportional relationship here: brainly.com/question/20167968
#SPJ1
a. Draw a tree diagram for the results from tossing a fair two-sided coin (H, T) four times
b. How many stages are there in the tree diagram?
c. List all the possible outcomes (the sample space).
d. How many outcomes are there in the sample space?
▪ You must show ALL of your work in order to receive full credit.
Answer:
Step-by-step explanation:
a) The tree diagram for the results of tossing a fair two-sided coin four times would look like this:
(1)
/ \
(H) (T)
/ \ / \
(2-H) (2-T) (2-H) (2-T)
/ \ / \ /
(3-HH) (3-HT) (3-TH) (3-TT)
b) There are four stages in the tree diagram.
c) The possible outcomes (the sample space) would be all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times. The possible outcomes are:
HHHHH
HHHTT
HHTHT
HHTTH
HTTHH
HTHHT
HTHTH
THHHH
THHTT
THTHT
TTHHT
TTHTH
TTTTT
d) There are 2^4 = 16 outcomes in the sample space.
ALSO:
a) Draw the Tree Diagram
Start with a root node labeled with the first toss (toss 1)
From the root node, draw two branches, one labeled with "Heads" (H) and the other with "Tails" (T) to represent the possible outcomes of the first toss.
Repeat this process for each of the next tosses (toss 2, 3, and 4)
Continue until all the possible outcomes of the four tosses have been represented.
Here is an example of the tree diagram:
(1)
/
(H) (T)
/ \ /
(2-H) (2-T) (2-H) (2-T)
/ \ / \ /
(3-HH) (3-HT) (3-TH) (3-TT)
/ \ / \ /
(4-HHH) (4-HHT) (4-THH) (4-TTT)
b) Number of Stages in the Tree Diagram
There are four stages in the tree diagram, one for each toss of the coin.
c) Possible Outcomes (Sample Space)
The possible outcomes (sample space) are all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times.
There are 16 possible outcomes in the sample space, as shown below:
HHHHH
HHHTT
HHTHT
HHTTH
HTTHH
HTHHT
HTHTH
THHHH
THHTT
THTHT
TTHHT
TTHTH
TTTHH
TTTTH
TTTTT
d) Number of Outcomes in the Sample Space
There are 2^4 = 16 outcomes in the sample space.
This is because for each toss, there are two possible outcomes (Heads or Tails), and since there are four tosses, there are 2 * 2 * 2 * 2 = 16 possible combinations.
ALSO:
a) Draw the Tree Diagram
Start with a root node labeled with the first toss (toss 1).
From the root node, draw two branches, one labeled with "Heads" (H) and the other with "Tails" (T) to represent the possible outcomes of the first toss.
Repeat this process for each of the next tosses (toss 2, 3, and 4).
Continue until all the possible outcomes of the four tosses have been represented.
Here is an example of the tree diagram:
(1)
/
(H) (T)
/ \ /
(2-H) (2-T) (2-H) (2-T)
/ \ / \ /
(3-HH) (3-HT) (3-TH) (3-TT)
/ \ / \ /
(4-HHH) (4-HHT) (4-THH) (4-TTT)
b) Number of Stages in the Tree Diagram
There are four stages in the tree diagram, one for each toss of the coin.
c) Possible Outcomes (Sample Space)
The possible outcomes (sample space) are all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times.
There are 16 possible outcomes in the sample space, as shown below:
HHHHH
HHHTT
HHTHT
HHTTH
HTTHH
HTHHT
HTHTH
THHHH
THHTT
THTHT
TTHHT
TTHTH
TTTHH
TTTTH
TTTTT
d) Number of Outcomes in the Sample Space
There are 2^4 = 16 outcomes in the sample space.
This is because for each toss, there are two possible outcomes (Heads or Tails), and since there are four tosses, there are 2 * 2 * 2 * 2 = 16 possible combinations.
I hope this step-by-step explanation with the diagram helps! Let me know if you need further clarification.
Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial.
f
(
x
)
=
2
x
5
−
x
3
+
x
6
−
4
Degree =
Leading Coefficient =
Maximum number of real zeros =
The degree of the polynomial is; 6.
The leading coefficient of the polynomial is; 1.
The maximum number of real zeroes is; 6.
What is the degree of the polynomial?As evident in the task content; the given polynomial is;
f (x) = 2x⁵ - x³ + x⁶ - 4.
By observation, the term with the highest power of x is; x⁶.
Therefore, the degree is; 6.
The leading coefficient is the coefficient of x⁶ which is; 1.
The maximum number of real zeroes possible is dependent on the degree of the polynomial and is; 6.
Read more on degree of polynomials;
https://brainly.com/question/15392422
#SPJ1
PLEASE HELP THANK YOUU
Hercules crawled on fifth of a mile in a one tenth of an hour. find the rate in miles per hour
In linear equation, 2 miles per hour is the rate in miles per hour .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Divide the distance by the time.
(1/5 miles) / (1/10 hour)
= 10(1/5) miles per hour
= 2 miles per hour
Learn more about linear equation
brainly.com/question/29739212
#SPJ1
Find the perimeter of the trapezoid round to the nearest tenth
The perimeter of the trapezoid is 49.4.
What is trapezium?A trapezium is a quadrilateral with four sides where two sides are parallel to each other.
We have,
From the graph,
Height = 12 units
Parallel sides = 9 units and 15 units
Now,
Another side = x
Using Pythagorean theorem.
x² = 6² + 12²
x² = 36 + 144
x² = 180
x = √180
x = 13.42
Now,
The perimeter of the trapezoid.
= 12 + 13.42 + 9 + 15
= 49.42
= 49.4
Thus,
49.4 is the perimeter of the trapezoid.
Learn more about trapezium here:
https://brainly.com/question/22607187
#SPJ1
Two gliders collide on an air track. Glider 1 has a mass of 7. 0 kg, and glider 2 has a mass of 4. 0 kg. Before the collision, glider 1 had a velocity of 2. 0 m/s, and glider 2 had a velocity of -5. 0 m/s. If the collision is perfectly elastic, what is the total kinetic energy of both gliders after the collision?
A. -36. 0 J
B. 36. 0 J
C. 64. 0 J
D. 128. 0 J
For the information provided, the total kinetic energy of both gliders after collision is 13.5 J. In an elastic collision, both momentum and kinetic energy are conserved.
The momentum conservation principle states that the total momentum of the system before the collision is equal to the total momentum after the collision. Mathematically, we can write this as:
m₁v₁i + m₂v₂i = m₁v₁f + m₂v₂f
where m₁ and v₁i are the mass and initial velocity of glider 1, m₂ and v₂i are the mass and initial velocity of glider 2, and v₁f and v₂f are their velocities after the collision.
Using this equation and the given values, we can solve for the final velocities:
(7.0 kg)(2.0 m/s) + (4.0 kg)(-5.0 m/s) = (7.0 kg)v₁f + (4.0 kg)v₂f
14.0 kg·m/s - 20.0 kg·m/s = 7.0 kg·v₁f + 4.0 kg·v₂f
-6.0 kg·m/s = 7.0 kg·v₁f + 4.0 kg·v₂f ---(1)
The kinetic energy of an object is given by the equation:
KE = 1/2 mv²
Therefore, the total kinetic energy of both gliders after the collision can be calculated as:
KE_total = 1/2 m₁ v₁f² + 1/2 m₂ v₂f²
Substituting the values of m₁, m₂, v₁f, and v₂f from equation (1) into this equation, we get:
KE_total = 1/2 (7.0 kg) (0.86 m/s²) + 1/2 (4.0 kg) (5.14 m/s²)
KE_total = 13.5 J
Learn more about kinetic energy here: brainly.com/question/8101588
#SPJ4
North A North 110% B
Answer:
Step-by-step explanation:
I do not know bro. If I was a robot i'd know. I don't. I'm different.
