Answer:
810Step-by-step explanation:
You would round up: 810.
Omar bought a pastry from the bakery near his apartment. The pastry was $2.80, and he paid 5% sales tax. How much did Omar pay in all?
Answer:2.94
Step-by-step explanation:2.80*1.05=2.94
9. A piece of wire is bent to form a square of area 121 cm². The same piece of wire is bent to form
circle. Find area of the circle. (Take π = 22/7)
Answer:
The Area of the circle is 95.07 cm2
Step-by-step explanation:
Given the Area of the square 121cm2, the Perimeter is 11. The lenght of the side of the circle is equals to the diameter of the circle. So d=11, r=5.5
Area of the circle is
A=pi×r2
=(22/7)×(5.5)^2
=(22/7)×30.25
=95.07cm2
Describe the transformation that takes f(x) = x+1 to g(x) = -x+4.
Answer:
Reflecting over the x-axis, vertical movement up 3 units.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptTransformations of graphs
Step-by-step explanation:
Step 1: Define
f(x) = x + 1
g(x) = -x + 4
Step 2: Define
Multiplying -1 to x flips it over the x-axis, or known as a reflection. There is no vertical shrink/stretch.
To get to 1 to 4, we add 3. That means we will be moving the graph up 3 units.
Answer:
The sign on the 'x' changes, this implies a reflection.
g(x) = -f(x) = -(x+1) = -x -1
Now apply a vertical translation 'up 5' to f(x)
g(x) = -f(x) + 5 = (-x-1) +5 = -x +4
Hope this helps! <3
The number of paper clips per box in a truckload of boxes are normally distributed, with a mean of 100 and a standard deviation of 3.
a. The number of paper clips in 68% of the boxes is predicted to range from
b. The number of paper clips in 95% of the boxes is predicted to range from
to
to
Answer:
what's the answer somebody
Step-by-step explanation:
Find a number which is increased by 12 is two times its opposite.
N = _____
Final equation: ______
The number which when increased by 12 is two times its opposite. is
N = -4
final equation N + 12 = -2N
What is additive inverse?Additive inverse is the opposite of a number in terms of addition, this is the number that gives zero when added to the original number.
To get a result equal to 0, add the original number and the additive inverse or by simply changing the sign of the integer. On the basis of negation of the original number.
The problem says
N + 12 = -2N
N + 2N = -12
3N = -12
N = -4
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What is the solution of the system of inequalities?
y < - (1/3)x+1 , y>2|x-1|
The solution of the given equalities is intersection of shaded region
To find the solution of the system of inequalities:
1) y < - (1/3)x + 1
2) y > 2|x - 1|
We can analyze each inequality separately and then find the intersection of their solutions.
1) For the inequality y < - (1/3)x + 1:
We can start by graphing the line y = - (1/3)x + 1. Since it is a strict inequality, we should use a dashed line to represent it.
Next, we need to determine which side of the line to shade to satisfy the inequality. Since y is less than the expression on the right side of the inequality, we shade the region below the line.
2) For the inequality y > 2|x - 1|:
First, let's consider the absolute value term |x - 1|. This term represents the distance between x and 1 on the number line. We can rewrite the inequality as two separate cases:
a) When x - 1 ≥ 0 (x ≥ 1), we have:
y > 2(x - 1)
y > 2x - 2
We can graph the line y = 2x - 2. Since it is a strict inequality, we use a dashed line.
b) When x - 1 < 0 (x < 1), we have:
y > 2(-(x - 1))
y > -2x + 2
We graph the line y = -2x + 2. Again, it is a strict inequality, so we use a dashed line.
For both cases, we shade the region above the respective lines to satisfy the inequalities.
Now, we need to find the intersection of the shaded regions from both inequalities.
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Stephen buys x pencils and y notebooks for his students. Each pencil costs $0.45 and each notebook costs $1.25. He buys a total of 210 pencils and note books for 142.50$. How many pencils did Stephen buy?
Answer:
Stephen bought 96 pencils.
Explanation: 142.50 divided by 1.25 equals 114. 210-114= 96. Hope this helps :)
Answer:
Stephen bought 96 pencils
Step-by-step explanation:
Explanation: 142.50 divided by 1.25 equals 114. 210-114= 96
Just doing to for points if I can have brainiest that would be nice have a good day :-)
Which expression is equivalent to v147?
PLEASE HELP HURRY!!!! 100 PTS!!!
Use the Remainder Theorem to find P(a). What does each mean?
f(a) = x ^ 3 - 2x ^ 2 - 3x + 6 at a = 2
The Remainder Theorem states that if a polynomial f(x) is divided by x - a, then the remainder of the division is equal to f(a). In other words, if we divide a polynomial by x - a, the value of the polynomial at x = a is equal to the remainder.
Using the Remainder Theorem, we can find P(a) for the polynomial f(x) = x^3 - 2x^2 - 3x + 6 when a = 2:
First, we need to create a polynomial that is equivalent to f(x) when divided by x - a. This is done by performing synthetic division, using a as the divisor:
2 | 1 -2 -3 6
2 0 -6
1 0 -3 0
The result of the synthetic division is the polynomial 1x^2 + 0x - 3 with a remainder of 0. This means that f(x) can be expressed as:
f(x) = (x - 2)(x^2 + 0x - 3)
We can now use the Remainder Theorem to find P(a) for f(x) when a = 2. This means that we need to evaluate the polynomial x^2 + 0x - 3 at x = 2:
P(2) = 2^2 + 0(2) - 3 = 1
Therefore, P(2) = 1.
The result P(2) means that when we divide the polynomial f(x) = x^3 - 2x^2 - 3x + 6 by x - 2, the remainder is 1.
Please help and show work, will give lots of points!
Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)
What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish
Answer:
The linear equation is y = 450 - 30 x, where y is the number of pages
Lourdes has left to read after x days
Step-by-step explanation:
Each day, Lourdes reads 30 pages of a 450-page book
- We need to write a linear equation to represent the number of pages
Lourdes has left to read after x days
∵ Lourdes reads 30 pages each day
∵ Lourdes will read for x days
∴ The number of pages Lourdes will read in x day = 30 x
- The left pages will be the difference between the total pages of the
book and the pages Lourdes read
∵ The book has 450 pages
∵ Loured will read 30 x in x days
∴ The number of pages left = 450 - 30 x
- Assume that y represents the number of pages Lourdes has left
to read after x days
∴ y = 450 - 30 x
The linear equation is y = 450 - 30 x, where y is the number of
pages Lourdes has left to read after x days
Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4.
After she rolls it 20 times, how many times does she roll the number 3?
A. 3
B. 5
C. 6
D. It is impossible to tell.
To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.
The correct option is, option (C) 6.
The probability of rolling a number 3 on any given roll is 1/4
If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).
The formula for the probability mass function of a binomial distribution is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:
P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)
To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:
E(X) = n * p
In this case, E(X) = 20 * 1/4 = 5
Therefore, the expected number of times Joan rolls a 3 is 5.
Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.
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find the body axis roll, pitch, and yaw rates using the kinematic eqautionsomwphi = 100 deg/s phi = 45 deg/spsi = 10 deg/s psi = 360 deg/s theta = 10 deg/s theta = 5 deg/s
The body axis roll rate is 1.102 rad/s, the body axis pitch rate is -3.647 rad/s, and the body axis yaw rate is 0.079 rad/s
How to use the kinematic equation?To find the body axis roll, pitch, and yaw rates using kinematic equations, we need to use the following equations:
Body axis roll rate (p) = (Ixx * L + (Izz - Iyy) * Q * R) / Ixx
Body axis pitch rate (q) = (Iyy * M + (Ixx - Izz) * P * R) / Iyy
Body axis yaw rate (r) = (Izz * N + (Iyy - Ixx) * P * Q) / Izz
where:
p, q, and r are the roll, pitch, and yaw rates in radians per second, respectively
L, M, and N are the moments about the body axes in Newton meters
P, Q, and R are the angular velocities about the body axes in radians per second
Ixx, Iyy, and Izz are the moments of inertia about the body axes in kilogram meters squared
To convert the given values in degrees per second to radians per second, we need to multiply them by pi/180.
Using the given values, we have:
omwphi = 100 deg/s = 100 * pi/180 rad/s = 1.745 rad/s
phi = 45 deg/s = 45 * pi/180 rad/s = 0.785 rad/s
psi = 10 deg/s = 10 * pi/180 rad/s = 0.175 rad/s
psi = 360 deg/s = 360 * pi/180 rad/s = 6.283 rad/s
theta = 10 deg/s = 10 * pi/180 rad/s = 0.175 rad/s
theta = 5 deg/s = 5 * pi/180 rad/s = 0.087 rad/s
Assuming the moments of inertia about the body axes are known, we can use the above equations to calculate the body axis roll, pitch, and yaw rates.
For example, let's say the moments of inertia about the body axes are:
Ixx = 100 kg \(m^2\)
Iyy = 200 kg \(m^2\)
Izz = 300 kg \(m^2\)
Using these values and the given angular velocities, we can calculate the body axis rates as follows:
Body axis roll rate (p) = (Ixx * L + (Izz - Iyy) * Q * R) / Ixx
= (100 * 0 + (300 - 200) * 0.175 * 6.283) / 100
= 1.102 rad/s
Body axis pitch rate (q) = (Iyy * M + (Ixx - Izz) * P * R) / Iyy
= (200 * 0 + (100 - 300) * 1.745 * 6.283) / 200
= -3.647 rad/s
Body axis yaw rate (r) = (Izz * N + (Iyy - Ixx) * P * Q) / Izz
= (300 * 0.087 + (200 - 100) * 1.745 * 0.175) / 300
= 0.079 rad/s
Therefore, the body axis roll rate is 1.102 rad/s, the body axis pitch rate is -3.647 rad/s, and the body axis yaw rate is 0.079 rad/s
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There are 14 dogs at the dog park on a busy Saturday. 2 of them are springer spaniels.
What is the probability that a randomly selected dog is a springer spaniel?
Write your answer as a fraction or whole number.
Answer:1/7
Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.
Use the factor theorem to find all the real zeros for the given polynominal and one of it’s factors.
Given:
\(3x^3+x^2-20x+12\)Factor: x+3
To find the zeros:
Using synthetic division,
So, the polynomial can be written as,
\(3x^3+x^2-20x+12=(x+3)(3x^2-8x+4)\)Let us consider,
\(p(x)=3x^2-8x+4\)Put x=2, we get
\(\begin{gathered} p(2)=3(2^2)-8(2)+4 \\ =12-16+4 \\ =0 \end{gathered}\)Hence, x=2 is the other one zero of the polynomial.
Put x=2/3, w get
\(\begin{gathered} p(\frac{2}{3})=3(\frac{2}{3})^2-8(\frac{2}{3})+4 \\ =\frac{4}{3}-\frac{16}{3}+4 \\ =-\frac{12}{3}+4 \\ =\frac{-12+12}{3} \\ =0 \end{gathered}\)Hence, x=2/3 is the other one zero of the polynomial.
Hence, the zeros of the polynomial are,
\(-3,\frac{2}{3},\text{ and, 2}\)A plumber charges $75 per hour and spends $30 a day on gasoline. Write an algebraic expression to represent his earnings for one day. Let x represent the number of hours the electrician works in one day.
Answer:
75(x)+30
Step-by-step explanation:
The algebraic expression to represent a plumber's earnings for one day is 75x - 30, where x is the number of hours.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A plumber charges $75 per hour and spends $30 a day on gasoline. Therefore, the total earnings and the total spending of the plumber is,
Total Earning = $75 × x
Total Spending due to gasoline = $30
Therefore, the net earnings of the plumber are,
Net Earning = Total Earning - Total spending
Net Earning = $75x - $30
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Find the equation of the line use exact numbers y= ___ X +_____ who ever answer first I’m giving them points and marking as brainlist If correct
Answer:
y=1/2x+-3
Step-by-step explanation:
Will mark brainiest!
A factory makes memory cards. Workers test the quality of each batch of memory cards made in the factory. For testing purposes, 300 memory cards are selected at random from each batch. Of this sample, 8 memory cards are found to be broken. There are 5,000 memory cards in the batch. About how many memory cards in the batch are likely to be broken in all?
A, 133
B, 17
C, 400
D, 10
The expected number of memory cards in the batch that are likely to be broken is given as follows:
A. 133.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
8 out of 300 cards are broken, hence the probability that a single card is broken is given as follows:
p = 8/300.
Hence, the expected amount of broken cards out of 5000 cards is given as follows:
E(X) = 5000 x 8/300
E(X) = 133 cards.
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30% of the money raised at every school bake sale goes to the 6th grade.$120 of the $250 raised goes to the 7th graders. What percent is this?
$ 286 is the percent.
What in mathematics is a percentage?
When the denominator is 100, percentages are really just fractions. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).
30% * 120 = X
30/100 * 120 = X
36 = X
the $250 raised goes to the 7th graders.
250 + 36
= $ 286
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PLS HELP ME!! I WILL MARK BRAINLIEST!!!
5. Ty is eight inches shorter
than his brother, Reece. If
Ty is 42 inches tall, then how
tall is Reece?
Equation: _________________
Solution: _________________
Answer:
Step-by-step explanation:
42 + 8 = R
50 = R
Reece is 50 inches tall
OR
R - 8 = 42
r = 50
Answer:
The answer is 50 inches for solution
Step-by-step explanation:
for equation it would be 42+8=50
stack of mail consists of 8 bills, 10 letters, and 6 advertisements. One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn. Find P (both are letters)
INFORMATION:
We know that:
- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.
- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.
And we must find P (both are letters)
STEP BY STEP EXPLANATION:
To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.
These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.
So, first
- Probability of A (the first piece is letter)
\(P(A)=\frac{favorable\text{ }cases}{total\text{ cases}}=\frac{10}{24}\)- Probability of B after A
Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces
\(P(B\text{ after }A)=\frac{9}{23}\)Finally, replacing in the initial formula
\(P(A\text{ and }B)=\frac{10}{24}\cdot\frac{9}{23}=\frac{90}{552}=0.1630\)Finally, the probability would be 0.1630
ANSWER:
P (both are letters) = 0.1630
Is the discriminant of g positive, zero, or negative?
Answer:
The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
The discriminant of the quadratic equation g is negative.
In algebra, the discriminant of a quadratic equation plays a crucial role in determining the nature of its roots. For a quadratic equation of the form ax² + bx + c = 0, the discriminant is given by Δ = b² - 4ac. Depending on whether the discriminant is positive, zero, or negative, we can determine the types of roots the equation possesses.
When the discriminant is negative, it implies that the quadratic equation has no real roots. In this case, the graph of the quadratic equation does not intersect the x-axis at all, indicating that it has complex roots. These complex roots are a pair of complex conjugates of the form (p + qi) and (p - qi), where p and q are real numbers and i is the imaginary unit (√(-1)).
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help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.
Given solution of a question done by two people.
Jenna's method
5(30+4)
(5)(30)+(5)(4)
150+20=170
Mia's method
5(30+4)
5(34)=170
We are required to find why they have achieved at the same answer.
Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.
Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.
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Consider the modified Harrod-Domar Growth model: c(g+δ)=(s
π
−s
W
)(
Y
π
)+s
W
As a planner, you're targeting a 4\% growth rate. If depreciation (delta) =0.03, capitaloutput ratio (c)=3,pi/Y=0.5, and savings out of capital income, s(pi)=25%. At what rate should the wage earners and rural households save? (Note: Write in \%, no decimal)
The rate at which the wage earners and rural households should save is 21%.
Given that:
Depreciation (δ) = 0.03
Capital output ratio (c) = 3
Profit share of income (π/Y) = 0.5
Savings out of capital income (sπ) = 25% = 0.25
We know that the modified Harrod-Domar growth model is given as:
c(g+δ) = (sπ - sW)(Yπ) + sW
We can rearrange the above equation to find the value of savings out of wage income as follows:
sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)
Plugging in the given values:
sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)
On solving the above equation, we get:
sW = 0.21 or 21%
Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.
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a population of 1200 farm workers, aged 40-55 years, was examined in february 2000. of these workers, 800 were exposed to high levels of pesticide the rest were exposed to low levels of pesticide. at the physical examination, 230 cases of skin cancer were identified, including 185 cases among the high pesticide exposure group. all of the workers who were initially examined and did not have skin cancer were followed by repeat examinations over the next two years. these follow-up exams identified 175 new cases of skin cancer in the total group, including 25 cases among the low-exposure group. what is the incidence of skin cancer over the two years in the high exposure group?
The incidence of skin cancer over the two years in the high exposure group is 24.39%.
To calculate the incidence of skin cancer over the two years in the high exposure group, follow these steps:
1. Determine the number of workers in the high exposure group: 800 workers
2. Subtract the initial skin cancer cases in the high exposure group from the total number of workers in the group to find out the workers without skin cancer:
800 - 185 = 615 workers
3. Calculate the number of new skin cancer cases in the high exposure group by subtracting the new cases in the low-exposure group from the total new cases:
175 - 25 = 150 cases
4. Calculate the incidence rate by dividing the new cases in the high exposure group by the number of workers without skin cancer in the high exposure group:
150 / 615 ≈ 0.2439
5. Multiply the incidence rate by 100 to express it as a percentage:
0.2439 * 100 = 24.39%.
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help me out guys!!!!!!!!!!
Answer:
x = 45°
y = 90°
Step-by-step explanation:
The 135° is on a line, so 180° - 135° = 45°
Since this is an isosceles triangle, x will be equal to 45° as well.
The sum of a triangle's angles is 180°, so if we add them all together and subtract from 180° we will get our y.
180° - (45 + 45) = y
180° - 90° = y
90° = y
(a triangle can be both an isosceles and a right-triangle!)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
someone please help i know the answer but i need the work for it
After solving both the system of equations, we have the value of x as 4 and -4.
In this question, we have been given two equations.
y = 3x
y = x² + 3x - 16
We can substitute the value of y in first equation with the value of y in second equation and our new equation will be:
x² + 3x - 16 = 3x
Now, we will solve it.
x² + 3x - 16 = 3x
x² - 16 = 3x - 3x
x² - 16 = 0
After factorizing the number, we will have:
(x + 4) ( x- 4) = 0
Putting each equation equal to zero
x - 4 = 0
x = 4
x + 4 = 0
x = -4
So, now we have two values of x which are 4 and - 4.
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Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
-3x^2+4x-2=0
standard form and its a b c
with explanation
The equation is already in standard form since standard form is
ax^2+bx+c = 0
Here we have
a = -3
b = 4
c = -2
4. For each pair of figures, at how many points is it possible that they
intersect? List all possibilities. (Lesson 6-13)
a. two distinct lines
b. a line and a circle
c. a line and a parabola
Two distinct lines can intersect at either one or no point, a line and a circle can intersect at either one, two or no point and a line and a parabola can intersect at either one or two points.
a. Two distinct lines can be parallel and not intersect at all or they can intersect at a exactly one point. Points of intersection: 0 or 1
b. If a line is a secant of a circle, it can intersect the circle at two points, at one point if it is a tangent, or not at all if it is a disjoint line outside of the circle. Points of intersection: 0, 1 or 2
c. Depending on where the line is in relation to the parabola, a line and a parabola can intersect at either one or two points. There will only be one point of intersection if the line only touches the parabola or does not cross it at all. There will be two points where the line intersects the parabola if it crosses it twice. Points of intersection: 1 or 2
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What is the solution of the proportion 5/8=b/12
Answer:
15/2 I think
Step-by-step explanation: