Answer:
if that is a negative 6 then its a positive 6 if its a positive 6 then it will be a negative
Step-by-step explanation:
What is an equation of the line that passes through the points (0, - 5) and (- 6, 0) ? Put your answer in fully reduced form.
Answer:
y= mx + b
y= - 5/6x + b
slope is 1
y-intercept is (0,-5x/6)
Step-by-step explanation:
(0, -5) (-6, 0)
y2 -y1 = 0- -5 = 5
x2-x1 = -6- 0= 6
-5/6
Jill has 6 dogs. Every day, she feeds them a total of 3/4 of a can of food, where each dog is fed the same amount of food. How many cans of food does Jill give to each dog? Write your answer as a fraction or as a whole or mixed number.
Jill feeds each of her 6 dog, 1/8 of a can of food daily.
To find the amount of food each dog receives, we will divide the total amount of food (3/4 of a can) by the number of dogs (6). Follow these steps:
Step 1: Convert the whole number 6 into a fraction. This will be 6/1.
Step 2: Write the division problem as a multiplication problem by finding the reciprocal of 6/1, which is 1/6.
Step 3: Multiply 3/4 by the reciprocal, 1/6.
(3/4) x (1/6) = (3 x 1) / (4 x 6)
Step 4: Multiply the numerators together (3 x 1) to get 3, and multiply the denominators together (4 x 6) to get 24. This gives us the fraction 3/24.
Step 5: Simplify the fraction 3/24 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3.
3 ÷ 3 = 1
24 ÷ 3 = 8
So, the simplified fraction is 1/8. Jill feeds each of her 6 dogs 1/8 of a can of food daily.
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Last year, Molly earned $120 babysitting over her holiday break from school. This year, Molly earned $160 babysitting. Comparing the years of babysitting, by what percentage did her earnings increase? Round your answer to the nearest whole number.
A. 25%
B. 42%
C. 37%
D. 30%
E. 33%
Molly's earning increased by 25%
How to calculate the percentage increase ?Percentage increase formula is
Increase/ original value × 100
The first step is to calculate the increase by subtracting 120 from 160
160 -120
= 40
Therefore the percentage increase can be calculated as follows
= 40/160 × 100
= 0.25 × 100
= 25
Hence Molly's earnings increased by 25%
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A line intersects the points (12, 3) and (6, 1).
Find the slope of the line and simplify completely.
Answer:
slope=1/3
Step-by-step explanation:
slope=(y1-y2)/(x1-x2)
slope=(3-1)/(12-6)
slope=1/3
Lucas and Mitchell were asked to add the numbers 3.54 and 12.09.
Lucas stated that he completed the addition problem by using the following method:
First, I broke the numbers apart. I broke 3.54 into 3.00+0.50+0.04 and 12.09 into 12.00+0.09.
Then, I combined 0.04 and 0.09 to get 0.13.
Next, I combined 0.13 and 0.50 to get 0.63.
Then, I combined 3.00+12.00 to get 15.00.
Finally, I added the decimal to get 15.63.
Mitchell stated that he completed the addition problem by using the following method:
First, I added the whole numbers to get 3.00+12.00=15.00.
Next, I added the numbers in the tenths place, 0.50+0.00=0.50.
Then, I added the numbers in the hundredths place, 0.04+0.09=0.013.
I then added 0.50 and 0.013 to get 0.513.
Lastly, I added the decimal to the whole number to get 15.513.
Determine if Lucas and/or Mitchell had a flaw in their method. If they did, correct the flaw(s) so that both the methods used are correct. PLZ ANSWER THE QUESTION!
Answer:
0.22
Step-by-step explanation:
Please please help help this is for the brainies please ASAP please ASAP thank you
No links or files
Answer:
(-5,2)
Step-by-step explanation:
:)
Which ordered pair is on the inverse of f(x)?
O (-4,-2)
O (-2,-2)
0 (-1,-2)
f(x)
-4
-2
-2
-1
0
0
2
1
4
Answer:
(-1,-2)
Step-by-step explanation:
Inverse function is where y and x are exchanged in position of a equation of a function.
Find the volume. 74yd 54yd 84yd 103yd
The volume of the figure in the attachment is 84 cubic yards
What is the volume of a figure?The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape
How to determine the total volume?The complete question is added as an attachment.
From the attached figure, we can see that the three-dimensional shape is a frustum
The volume is then calculated using the following formula
V = 1/2 * (Sum of the parallel bases) * height * side length
From the figure, we have:
Parallel bases = 2 yards and 6 yards
Height = 3.5 yards
Side length = 6 yards
Substitute the known values in the above equation
V = 1/2 * (2 + 6) * 3.5 * 6
Evaluate the product in the above equation
V = 1/2 * (2 + 6) * 21
Evaluate the sum in the above equation
V = 1/2 * 8 * 21
Evaluate the product in the above equation
V = 1/2 * 168
Evaluate the product in the above equation
V = 84
Hence, the volume of the figure in the attachment is 84 cubic yards
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MATH HLP PLS!!!!! The SAME QUESTION FROM YESTERDAY BUY REPOST IT FOR BETTER CLARIFICATION!! SELECT ALL THAT APPLY!!!!!!!!!!
Answer:
The answers are
1
2
5
Step-by-step explanation:
please correct me politely if im wrong :)
Answer:
The answers are A, B, and F.
How has the creation of the nation-state of israel increased pan-arabism? question 20 options: it showed that there needs to be an arabic home land, too. it unites many different arabic cultures against a common enemy, the jews. it justifies the jewish need for more space and why they spread into the sinai peninsula. after the massive loss of the yom kippur wars, israelis and palestinians were united as one
Among the provided options, the most accurate statement would be: "It unites many different Arabic cultures against a common enemy, the Jews."
The creation of the nation-state of Israel in 1948 led to increased Pan-Arabism in several ways. Firstly, the establishment of Israel as a Jewish state in the heart of the Arab world was perceived by many Arabs as a direct threat to their own national aspirations. This common enemy, the Jews, served as a rallying point that united various Arabic cultures against a perceived external threat.
Additionally, the existence of Israel became a central issue for Arab nationalism, with the goal of liberating Palestine from Israeli control becoming a unifying cause among Arab nations. The Arab-Israeli conflict and ongoing tensions between Israel and its Arab neighbors further fueled Pan-Arab sentiment.
It is important to note that the other options provided do not accurately reflect the impact of Israel's creation on Pan-Arabism. The creation of Israel did not justify Jewish expansion into the Sinai Peninsula, nor did it lead to Israeli-Palestinian unity after the Yom Kippur Wars.
The statement that it demonstrated the need for an Arabic homeland is also not accurate, as the creation of Israel was not a direct factor in the Arab world's pursuit of national self-determination.
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Problem 6 (16 points). An individual opens a savings account with an initial investment of $500. The bank offers her an annual interest rate of 9%, which is continuously computed. She decides to deposit $200 every month. a) Write an initial value problem that models this investment over time. b) Solve the IVP.
c) What is the value of the investment in 2 years? d) After the 2 year mark, she increases her monthly investment to $300. What is the value of the investment a year later? Show all your work for full credit; you may use a calculator for this problem. Problem 7 (16 points). Solve the following IVP: ycosx−2xe y coz x − 2x eʸ -6x² - (x² eʸ - sin x - 4) yᶦ = 0; y (π) = 0
The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.
a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:
dy/dt = 0.09y + 200, y(0) = 500.
b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).
c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.
d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.
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it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
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Ravindra' monthly income i rupee 90000. After pending on variou expenditure, he manage to ave rupee 40000 per month. What percentage of hi income doe he ave?
The percentage of his income he saved is 44.4%.
Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.
In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".
If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:
percentage = (40,000/90,000) x 100% = 44.4%
Hence, she saves 44.4% of his income per month.
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find the marked angle of
Answer:
∠ C = 100°
Step-by-step explanation:
since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.
consider the angle inside the triangle to the left of 140°
this angle and 140° are a linear pair and sum to 180°
angle + 140° = 180° ( subtract 140° from both sides )
angle = 40°
then the angle on the left of the triangle = 40° ( base angles congruent )
the sum of the angles in a triangle = 180° , so
∠ C + 40° + 40° = 180°
∠ C + 80° = 180° ( subtract 80° from both sides )
∠ C = 100°
u.s cities grew quickly during the early 1800s because:
Answer:
The industrialization of the late nineteenth century brought on rapid urbanization. The increasing factory businesses created many job opportunities in cities, and people began to flock from rural, farm areas, to large urban locations. Minorities and immigrants added to these n
Answer:
A. factories began to hire more workers in cities
Step-by-step explanation:
I got it right ap2x
explain the relationship between the correlation coefficient (i.e., r) and the closeness of the points on a scatterplot to the regression line
The relationship between the correlation coefficient, that is r and the closeness of the points on a scatter plot to the regression line or the coefficient of correlation is the measure of closeness of association.
Correlation coefficient
Correlation coefficient is a statistical measure of how much a change in the value of one variable predicts a change in the value of another variable. For variables with positive correlation, the values increase or decrease together.
Scatter Plot:
A scatterplot (also called a scatterplot or scatterplot) uses points to plot the values of two different numeric variables. The position of each point on the horizontal and vertical axes represents the value of one data point. Scatter plots are used to observe relationships between variables.
Measure of closeness of Association:
In statistics, any of several factors or coefficients used to quantify the relationship between two or more variables. Measures of association include Pearson's correlation coefficient, Spearman's rank correlation coefficient, and the chi-square test. Association measures are used in a variety of research fields, but they are most widely used in the fields of epidemiology and psychology, where they are often used to quantify the relationship between exposure and disease or behavior. Measures of association can be determined by any of several different analyzes, including correlation analysis and regression analysis. (The terms correlation and association are often used interchangeably, but in the narrower sense correlation refers to linear correlation and association for any relationship between variables.) Used to determine strength of association.
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Help plz ASAP
150% as a fraction or mixed number
Answer:
150%as a fraction is 3/2
Answer:
1.50 or 1 1/2
Step-by-step explanation:
Hope this helps!
You select a card from a deck that contains 25 red cards, 12 blue cards, 8 yellow cards, and 5 red cards. What is the probability of drawing a red card?
Answer: 3/14!
Your welcome!
Step-by-step explanation: The probability P is actually formulated as "the successful outcomes S" over "the total number of possible outcomes T," that is P = S/T You are expecting to draw a blue card. Therefore the probability will beP (one blue card) = 6/28 = 3/14!
A one-question survey is to be distributed to a random sample of 1500 adults in Ohio. The question asks if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. What is the mean, , of the sampling distribution of ?
a.
40% ± 5%
b.
6%
c.
5%
d.
0.40
They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.
Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data
set. The mean, median and mode are the three commonly used measures of central tendency.
To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of
values.
The mean, μ, of the sampling distribution of p can be found using the formula
μ = p,
where p is the proportion of adults in the entire population who support the increase.
In this case, 40% of all adults in Ohio support the increase, so p = 0.40.
Therefore, the mean of the sampling distribution of p is:
μ = 0.40
So the correct answer is (d) 0.40.
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A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to the truck is 8 feet, what is the height from the ground to the top of the ramp ? A) 3. 0 ft B) 4. 5 ft C) 5. 0 ft D) 6. 0 ft.
Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle. The height from the ground to the top of the ramp 6. 0 ft. Option D is correct.
What is the Pythagoras theorem?Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.
It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.
The given data in the problem will be;
L is the length of ramp= 10 feet
x is the horizontal distance from the bottom of the ramp = 8 feet
h is the height from the ground to the top of the ramp=?
According to Pythagoras theorem,
\(\rm H^2=P^2+B^2 \\\\ \rm l^2=h^2+X^2 \\\\ \rm 10^2=h^2+8^2 \\\\ \rm h=\sqrt{100-64 } \\\\ \rm h=36 \\\\ \rm h=6 ft\)
Hence the height from the ground to the top of the ramp 6. 0 ft. Option D is correct.
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Solve for a and b: 2a - 3b=5 -3a+b=3
Answer:
a = -2 b = -3
Step-by-step explanation:
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what is the minimum number of terms of the taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1?
The minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1 is 5.
A Taylor series is a mathematical series that represents a function as an infinite sum of terms. The terms of a Taylor series are calculated from the values of a function's derivatives at a single point.
The Taylor series is defined by the formula:
f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)² / 2! + f'''(a)(x - a)³ / 3! + ... + fⁿ(a)(x - a)ⁿ / n!
The error of the Taylor series approximation of a function is given by the formula:
Rn(x) = f(n + 1)(c)(x - a)ⁿ⁺¹ / (n + 1)!where c is some value between a and x.
Here, we want to find the minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1. Therefore, we need to use the error formula to solve for n. Let's start by finding the first five derivatives of f(x):
f(x) = ln(x² + 1)
f'(x) = 2x / (x² + 1)
f''(x) = (2 - 4x²) / (x² + 1)²
f'''(x) = (24x³ - 12x) / (x² + 1)³
f⁴(x) = (-96x⁴ + 144x² - 24) / (x² + 1)⁴
f⁵(x) = (672x⁵ - 960x³ + 240x) / (x² + 1)⁵
Next, we need to find a value of c between -2 and 2 that will maximize the absolute value of the fifth derivative of f(x).
f⁵(x) = (672x⁵ - 960x³ + 240x) / (x² + 1)⁵
f⁵(c) = (672c⁵ - 960c³ + 240c) / (c² + 1)⁵
To find the maximum value of f⁵(c) on the interval (-2,2), we can check the endpoints and the critical points in the interval. The critical points are found by solving f⁴(c) = 0, which gives:
c = ±sqrt(3/8) ≈ ±0.866
The endpoints and the critical points give the following values:
f⁵(-2) ≈ 0.045
f⁵(-sqrt(3/8)) ≈ 4.011
f⁵(0) = 0
f⁵(sqrt(3/8)) ≈ -4.011
f⁵(2) ≈ -0.045
Therefore, the maximum absolute value of f⁵(c) on the interval (-2,2) is approximately 4.011. We can use this value in the error formula to solve for n:
|Rn(x)| ≤ 4.011 |x - a|⁵ / (n + 1)!0.1 ≤ 4.011 |x - a|⁵ / (n + 1)!
Since we want to find the minimum value of n, we can assume that x = 2 and a = 0 (the center of the interval), because the function is symmetric about the y-axis. Then:
0.1 ≤ 4.011 (2 - 0)⁵ / (n + 1)!0.1 ≤ 32.088 / (n + 1)!n + 1 ≤ 320.88 / 0.1n + 1 ≤ 3208.8 / n!
n! ≤ 3208.8 / (n + 1)!(n + 1)! / n! ≤ 3208.8 / (n + 1)n + 1 ≤ 5.508
The smallest integer n that satisfies this inequality is n = 5. Therefore, the minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1 is 5.
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refer to information in the above question. if it takes 6 days for the order placed to arrive, at what level of inventory should the product be reordered, assuming a 30-day month (i.e what's the reorder point)? group of answer choices 83 gallons 100 gallons 500 gallons 537 gallons none of the above
To calculate the reorder point, we need to consider the lead time (6 days) and the average daily usage of the product. Assuming a 30-day month, the average daily usage can be calculated as:
Product used per day = Total product used in a month / Number of days in a month
Product used per day = Inventory / 30
To determine the reorder point, we need to know the daily consumption rate of the product and the lead time (number of days it takes for the order to arrive).
1. Calculate the daily consumption rate: Since we have a 30-day month, we will divide the monthly consumption by 30.
Total consumption in a month = X gallons (Information not provided)
Daily consumption rate = X gallons / 30 days
2. Calculate the lead time demand: Since it takes 6 days for the order to arrive, we need to find out how many gallons are consumed during this time.
Lead time demand = Daily consumption rate * Lead time
Lead time demand = (X gallons / 30 days) * 6 days
3. Determine the reorder point: The reorder point is the level of inventory at which the product should be reordered to ensure that there is enough stock to cover the lead time demand.
Reorder point = Lead time demand
Reorder point = (X gallons / 30 days) * 6 days
Let's assume that the reorder point is the level of inventory at which we need to place a new order to avoid running out of stock. So, the reorder point can be calculated as:
Reorder point = Lead time demand + Safety stock
Here, the lead time demand is the product used during the lead time (6 days) and the safety stock is the buffer inventory kept to avoid stockouts. Let's assume a safety stock of 50 gallons.
Lead time demand = Product used per day * Lead time
Lead time demand = (Inventory / 30) * 6
Lead time demand = Inventory / 5
Reorder point = (Inventory / 5) + 50
We need to solve for the inventory level at which we should reorder. Let's assume the answer is X.
X / 5 + 50 = X
X - X/5 = 50
4X/5 = 50
X = (5/4) * 50
X = 62.5
So, the reorder point is 62.5 gallon. Therefore, the correct answer is "none of the above".
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2 people want to share 1 3/4 submarine sandwiches so that each one gets the same amount . How much should each person get ?
Answer:
Each person should .875 of the sandwich.
Step-by-step explanation:
I NEED SOME HELP!!!
Ellena knows that 1/5 written as a decimal is 0.2. How can Ellema use this information to find the decimal equivalent for 9/5 without doing 9 divided by 5?
Answer:
Adding up 0.2 till it reaches 9 times
Step-by-step explanation:
Brainlliest pls
Decide if each of the statements below are true or false based on the table of data below. Make sure to calculate
he first and second differences before making your choices. (1 point)
First Difference
4
6
8
10
23.1
12
f(x)
325
388
437
472
493
500
The values in the table have constant second differences.
So, the relationship is a quadratic relationship.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
The following table shows a relationship.
x f(x)
4 325
6 388
8 437
10 472
23.1 493
12 500
The first difference;
388 - 325 = 63
437 - 388 = 49
472 - 437 = 35
493 - 472 = 21
500 - 493 = 7
The second difference;
49 - 63 = -14
35 - 47 = -14
21 - 35 = -14
7 - 21 = -14
The second difference is constant.
Therefore, the relationship is quadratic.
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SS ZONE
Block 5> Topic 3> Applications of Percent
Dre is painting a mural for his school.
Each can of spray paint costs $5 before
sales tax. The sales tax rate is 10%.
Plot a point that represents how Dre can
spend money on spray paint.
Cost Including Sales Tax (5)
132
88
44
20
40
60
Cost Before Sales Tax ($)
A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.
How to model the money spent?The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.
The general format of a proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality.
In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:
Cost before sales tax.10% of the cost before sales tax.Considering x as the cost before sales tax, the equation is given as follows:
y = x + 0.1x
y = 1.1x.
Meaning that one point is given as follows:
(5,5.5).
Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.
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Chelsea is budgeting for her trip to the mall. She
does not want to spend any more than $140. If
she wants to buy a dress that costs $28.50 and
I some shirts that cost $20.75 each, how many
shirts can she buy? Use the inequality to help
solve the problem.
140 > 28.50 + 20.75x
Answer:
Chelsea can buy 5 shirts.
Step-by-step explanation:
Subtract 28.50 from 140. This is because subtraction is the inverse of addition, so it will cancel out. 111.50 > 20.75xDivide both sides by 20.75. Division is the inverse of multiplication. 5.3734939759 > xYou can't split shirts when buying them, so Chelsea can buy 5 shirts.
Fourteen years time a mother will be twice as old as her son.Four years ago the sum of their ages was thirty .Find their ages
Answer:
son=12 years
Step-by-step explanation:
mother= 26 years
thats my answer please help me to my question
(-7)(-9)=
please help i thought it was -63
Answer:
The answer is not -63 but 63
Step-by-step explanation:
You multiply -7 by -9 and that equals 63. For when you multiply two negative numbers by each other it makes a positive number because the two negative numbers are canceled out:)
I rly hope this helped. Can I plz get brainliest?