An object is about 5 times the distance Earth is from the Sun. Earth is about miles from the Sun. About how far is the object from the Sun?
Answers
Answer:
5(miles from the sun)=how far an object is. 92.831 million mi is the distance from earth to the sun. You multiply this by 5 and you should get your answer
Step-by-step explanation:
Related Questions
(1 point) find ∬rf(x,y)da where f(x,y)=x and r=[4,6]×[−2,−1]. ∬rf(x,y)da
Answers
Answer: To evaluate the double integral ∬rf(x,y)da over the rectangle r=[4,6]×[−2,−1], we need to set up the integral and then evaluate it.
The integral is given by:
∬rf(x,y)da = ∫∫r x dA
We can evaluate this integral by integrating x over the range [4, 6] and y over the range [−2, −1]:
∬rf(x,y)da = ∫4^6 ∫−2^−1 x dy dx
Integrating with respect to y first, we get:
∬rf(x,y)da = ∫4^6 x (-1 - (-2)) dx
= ∫4^6 x dx
Integrating with respect to x, we get:
∬rf(x,y)da = [x^2/2]4^6
= (6^2 - 4^2)/2
= 10
Therefore, the value of the double integral ∬rf(x,y)da over the rectangle r=[4,6]×[−2,−1] is 10.
We can find the double integral of f(x,y) over the region r using the formula:
∬r f(x,y) da = ∫<sub>-2</sub><sup>-1</sup> ∫<sub>4</sub><sup>6</sup> f(x,y) dx dy
Substituting f(x,y) = x, we get:
∬r f(x,y) da = ∫<sub>-2</sub><sup>-1</sup> ∫<sub>4</sub><sup>6</sup> x dx dy
Integrating with respect to x first, we get:
∬r f(x,y) da = ∫<sub>-2</sub><sup>-1</sup> [(1/2) x^2]4<sup>6</sup> dy
= ∫<sub>-2</sub><sup>-1</sup> (16y + 36) dy
= [8y^2 + 36y]<sub>-2</sub><sup>-1</sup>
= [(8(-1)^2 + 36(-1)) - (8(-2)^2 + 36(-2))]
= [8 + 36 + 32 - 72]
= 4
Therefore, the value of the double integral is 4.
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Expand 3(t -2) 3(t-2)=
Answers
Answer:
I hope this helps:)
Step-by-step explanation:
This list shows the commissions real estate agents will earn when they sell three different houses. Place the commissions in order from
least to greatest.
House F
4% on $100,000
House G
5% on $75,000
House H
6% on $70,000
Least
Middle
Greatest
Answers
Answer:
Least - House G, 5% on $75,000
Middle - House F, 4% - $100,000
Greatest - House H, 6% on $70,000
Step-by-step explanation:
House G says 5% commission on $75,000 so how much is that?
?/75,000 = 5/100. 5 ÷ 100 = .05 x 75,000 = 3,750.
House F says 4% commission on $100,000 so how much is that?
?/100,000 = 4/100. 3 ÷ 100 = .04 x 100,000 = 4,000.
House H says 6% commission on $70,000 so how much is that?
?/70,000 = 6/100. 6 ÷ 100 = .06 x 75,000 = 4,200.
Now order the numbers from peats to greatest. House G: $3,750 ; House F: $4,000 ; House H: $4,200.
There’s your answer.
Write an equation that passes through the points (1,8) and (3,4)
Answers
Answer:
\(y = -2x + 10\)
Step-by-step explanation:
The slope-intercept form of equation of line:
y = mx + c
where:
m = slope
c = y-intercept
Slope, m: \(\frac{y_{2} - y_{1}}{x_{2} -x_{1}}\)
= \(\frac{4 - 8}{3 - 1}\)
= \(-\frac{4}{2}\)
= \(-2\)
\(y = -2x +c\)
Substitute the coordinates of either of the two points in this equation to calculate the value of c:
8 = \(-2\)(1) + c
8 = \(-2\) + c
c = 8 + 2
c = 10
Therefore, the equation is:
\(y = -2x +10\)
y = -2x + 10
Step by step explanation:
The slope-point formula, which is as follows, can be used to determine the equation of the line passing through the points (1, 8) and (3, 4).
y - y1 = m(x - x1) (x - x1)
where (x1, y1) is one point on the line, (x, y), and (m) is the slope of the line.
The following formula is used to determine the line's slope:
m = (y2 - y1) / (x2 - x1) = (4 - 8) / (3 - 1) = -4/2 = -2
Now, we can enter one of the points, let's say (1, 8), together with the slope into the slope-point formula:
y - 8 = -2(x - 1) (x - 1)
By extending the right side, we obtain:
y - 8 = -2x + 2
By adding 8 to both sides, we get:
y = -2x + 10
The line's equation is therefore y = -2x + 10, passing through the points (1, 8) and (3, 4).
Hope it helps! :)
Find f(3) f(x)=x+2/x
A) -1/3
B)1/3
C)5/3
D)-5/3
Answers
Work Shown:
f(x) = (x+2)/x
f(-3) = (-3+2)/(-3) .... replace every x with -3
f(-3) = -1/(-3)
f(-3) = 1/3
Lydia invests $1000 in an account that pays
5.25% compounded daily. Gabrielle invests the
same amount of money in an account that pays
5.25% compounded semi-annually instead.
Lydia makes more money in 3 years, but how
much more does she make?
Answers
Lydia earns $52.5 more than Gabrielle after 3 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
we can use the formula for compound interest:
\(A = P(1 + r/n)^n^t\)
where A is the final amount,
P is the principal (initial investment),
r is the annual interest rate (as a decimal),
n is the number of times the interest is compounded per year, and
t is the number of years.
For Lydia (n=365)
A=1000(1+0.0525/365)¹⁰⁹⁵
A=1115.7
For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):
A = 1000(1 + 0.0525/2)⁶
A = 1000(1.0265625)⁶
A = 1168.2
To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:
1168.2- 1115.7 = 52.5
Hence, Lydia earns $52.5 more than Gabrielle after 3 years.
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Derek, Margaret, and Lenny are playing a game of cards. There are 52 cards total. At the beginning of the game, each player gets a starting hand of 7 cards. The order in which a particular player receives his or her cards is unimportant, but it matters who gets which cards. How many different ways can we make starting hands for all three players
Answers
There are over 6 quadrillion ways to make starting hands for Derek, Margaret, and Lenny!
We can start by finding the number of ways to choose 7 cards out of the 52 for Derek, then the number of ways to choose 7 cards out of the remaining 45 for Margaret, and then the remaining cards (which will form Lenny's hand).
The number of ways to choose 7 cards out of 52 is:
C(52,7) = 133,784,560
Once Derek has his 7 cards, there are 45 cards remaining, so the number of ways to choose 7 cards for Margaret is:
C(45,7) = 45,379,620
Finally, Lenny gets the remaining cards, so there is only one way to choose his hand.
Therefore, the total number of ways to make starting hands for all three players is:
133,784,560 x 45,379,620 x 1 = 6,081,679,822,404,800
So there are over 6 quadrillion ways to make starting hands for Derek, Margaret, and Lenny!
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Type of angle:
Angle measures:
Answers
measurement: 85°
Point D'(7,1)D
′
(7,1)D, prime, left parenthesis, 7, comma, 1, right parenthesis is the image of D(7,6)D(7,6)D, left parenthesis, 7, comma, 6, right parenthesis under a translation.
A translation by
units
Answers
Answer:
A translation 5 units down
St
Please help to find the answer to a b and c please
Answers
Answer:
a) 5p (or 5q)
b) 5p ( or 5q)
c) 10p (or 10q)
Step-by-step explanation:
We will use the following information for solving and using the given figure
In a regular hexagon all six sides are equalTherefore
\(\overrightarrow{AB} = \overrightarrow{BC} = \overrightarrow{CD} = \overrightarrow{DE} = \overrightarrow{EF} = \overrightarrow{FA}\)
The circumradius R which is the length of the segment from O to the center of the hexagon to any of the vertices A, B, C, D, E, F is the exact same. So in the figure,
\(\overrightarrow{OA} = \overrightarrow{OB} = \overrightarrow{OC} = \overrightarrow{OD} = \overrightarrow{OE} = \overrightarrow{OF}\)
The distance between a pair of opposite vertices is twice the circumradius and is the same for all
\(\overrightarrow{EB} = 2\overrightarrow{OB}\) and similarly for all other pairs
Preliminary computation
We have \(\overrightarrow{AB} = \overrightarrow{BC}\)
Therefore 4p + q = 5p
5p = 4p + q
5p-4p = q
p = q
\(\overrightarrow{AB} = 4p + q = 4p + p = 5p = 5q\\\)
So each side is 5p in length which is also equal to 5q since p = q
Part a
\(\overrightarrow{AO} = \overrightarrow{OA} = \overrightarrow{AB} = 5p\) (same as 5q)
Part b
\(\overrightarrow{OB} = \overrightarrow{OA} = 5p\) (same as 5q)
Part c
\(\overrightarrow{EB} = 2 \cdot \overrightarrow{OB} = 2 \cdot 5p = 10p\) (also 10q)
To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?
Answers
Answer:
4 litres.
Step-by-step explanation:
By proportion that would be:
1.5 * 8/3
= 12/3
= 4 litres.
COME ON LASTTT ONESSSSSSSSSSSSSSS
Answers
Answer:
Answer
Correct option is
D
all of the above
For any two rational numbers a and b,
(a+b),(a−b),(b−a) & (a×b) are all rational numbers.
Thus, rational numbers are closed under addition, subtraction and multiplication.(for the first one)
Answer:
The sum of x and y is a rational number
Step-by-step explanation:
X+Y or 5+7=12
A rational number is any number that can be divided without going on and on forever. ( for the 2nd one)
The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5. The perimeter of ΔDEF is 48 inches. What is the perimeter of ΔABC?
Answers
Answer:
28.8 inches
Step-by-step explanation:
We solve the above question using Proportion
The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5.
ΔABC/ΔDEF = 3/5
Hence,
The perimeter of ΔDEF is 48 inches.
Let the perimeter of ΔABC = x inches
3/5 = x/48
Cross Multiply
5x = 48 × 3
x = 48 × 3/5
x = 28.8 inches
The perimeter of ΔABC is 28.8 inches
If the train that Megan is riding covers 100 miles in 2 hours, how fast is the train traveling?
A.
100 mph
B.
55 mph
C.
50 mph
D.
45 mph
Answers
The train is travelling at a speed of 50mph
How to determine how fast the train is travelling?From the question, the given parameters are:
Distance covered = 100 of a mile
Time to cover this distance = 2 hours
How fast the train is travelling is a function of the speed of the train
The speed of the train is calculated as
Speed = Distance covered/Time to cover this distance
Substitute the known values in the above equation
So, we have the following equation
Speed = 100 miles/2 hours
Evaluating the quotient in the above equation, we have
Speed = 50 miles per hour
Hence, the trian' speed is 50 miles per hour
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Consider two individuals, Artie and Deena, who produce wind chimes and sun dials. Artie's and Deena's weekly productivity are shown in Table 1 . Which of the following is true? Deena has an absolute advantage in producing both goods, and a comparative advantage in producing wind chimes. Deena has an absolute advantage in producing both goods, and a comparative advantage in producing sun dials. Deena has an absolute and a comparative advantage in producing both goods. Deena has an absolute advantage in producing both goods, but no one has a comparative advantage in producing either good.
Answers
In Economics, a country that has a lower opportunity cost of producing a certain product than another country is said to have a comparative advantage.
Deena has an absolute advantage in producing both goods, and a comparative advantage in producing sun dials would be the correct option. As shown in Table 1, Deena has a comparative advantage in producing sundials since her opportunity cost of producing one sundial is 0.5 wind chimes, while Artie's opportunity cost of producing one sundial is 1 wind chime. As a result, Deena has the lowest opportunity cost of producing sun dials.
The absolute advantage is the capability of an individual or a country to produce a good using fewer resources than another individual or country. Since Deena has a lower opportunity cost of producing both wind chimes and sundials, she has an absolute advantage in producing both goods. As a result, the correct option is "Deena has an absolute advantage in producing both goods, and a comparative advantage in producing sundials."
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HELP FOUR MORE MINUTES LEFT ON MY TEST!
Answers
Select all of the true statements. A. 3 gallons = 18 pints B. 5 quarts = 20 cups C. 6 gallons = 30 quarts D. 2 pints = 32 fluid ounces E. 8 pints = 24 cups
Answers
Answer:
b
d
Step-by-step explanation:
1 gallon = 8 pint
3 x 8 = 24 pints
the first option is wrong
1 quart = 4 cups
5 x 4 = 20 cups
the second option is correct
1 gallon = 4 quarts
6 x 4 = 24
the third option is wrong
1 pint = 16 ounces
2 x 16 = 32 ounces
the fourth option is correct
1 pint = 2 cups
8 x 2 = 16 cups
the fifth option is wrong
A school is arranging a field trip to the zoo. The school spends 656.26 dollars on passes for 36 students and 2 teachers. The school also spends 348.48 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answers
Answer:
26.95
Step-by-step explanation:
pass = 656.26 = (36 s + 2t) so 17.27 per person assuming teacher & student same price.
lunch = 348.48/36 =9.68/student
pass and lunch = 9.68 + 17.27 =26.95
john has a comic book collection. Jane gave him her comic books, and now he has 3 times as many as he used to. He now has 21 comic books. (Use c as a variable.
Answers
Answer:
He used to have 7 books
7times 3 equals 21
Wild you either follow me or thank me
If you do I appreciate it
Step-by-step explanation:
cQuestion:
What is 1.3 repeating as a fraction?
Converting Repeating Decimals to Fractions:
A repeating decimal is a decimal number that goes on forever past its decimal point in a repeating pattern. These types of numbers are 'rational' numbers, meaning they can be written as a fraction, a/b, where a and b are both integers. Converting a repeating decimal to a fraction can be done using a nice stepped out process.
Answers
We have discovered that 1.3 repeating is equivalent to the fraction 4/3. When we encounter a repeating decimal such as 1.3 repeating, it can be a challenge to understand its true value.
However, by following a simple process, we can convert this decimal into a fraction, which makes it much easier to work with.
The process involves defining a variable to represent the repeating decimal, multiplying both sides of the equation by a power of ten to move the decimal point, and then subtracting the original equation from the new one to eliminate the repeating portion. Finally, we can solve for the variable and simplify the resulting fraction.
In the case of 1.3 repeating, we can define x = 1.3 repeating, multiply both sides by ten to get 10x = 13.3 repeating, and subtract x from 10x to get 9x = 12. Solving for x gives us x = 12/9, which simplifies to x = 4/3.
Therefore, we have discovered that 1.3 repeating is equivalent to the fraction 4/3. This result can be useful in a variety of contexts, including mathematics, science, and engineering, where fractions are often preferred over decimals. By following this simple process, we can quickly and easily convert any repeating decimal into a fraction.
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A lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. What is the linear velocity, in inches per minute, at the end of the blade?.
Answers
You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.
The linear velocity at the end of the blade is 13571.7 inches per minute
How to find the linear velocity of the lawnmower blade?You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.
The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.
Since the blade is 36 inches long, it can be taken as radius of that circle.
The circumference is thus calculated as \(2 \times \pi \times 36 = 226.19 \: \rm inches\)
Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute
Thus,
The linear velocity at the end of the blade is 13571.7 inches per minute
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Answer:
i think its D or 4,320pi
Step-by-step explanation:
just divided the previous persons answer by pi and its d on edge 2022.
Which of the following graphs is described by the function given below?
y = 2x2 + 8x+ 3
5
A.
B.
D.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Step-by-step explanation:
D. Graph D the answer is D
Answer:
D. Graph D the answer is D
Step-by-step explanation:
Julian invested $5,700 in an account paying an interest rate of 4\tfrac{1}{2}4
2
1
% compounded continuously. Brandon invested $5,700 in an account paying an interest rate of 4\tfrac{3}{4}4
4
3
% compounded quarterly. To the nearest hundredth of a year, how much longer would it take for Julian's money to double than for Brandon's money to double?
Answers
The time it would take for Julian's money to double than for Brandon's money to double is 0.81 years.
What is the difference in doubling time for Julian and Brandon?The formula that can be used to determine the doubling time is
Number of years = (In FV/PV) / r
FV = future valuePV = present valuer = interest rateFV / PV = 2(In 2/ 0.0475) - (In 2/ 0.045) - (In 2/ 0.0475)
= 14.59 - 15.40
= 0.81 years
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Bo invests money in an account paying a simple interest of 4% per year. If m
represents the amount of money he invests, which expression represents his balance
after a year, assuming he makes no additional withdrawals or deposits?
O 1.04m
O 4m
O 0.04m
1.004m
Submit Answer.
Answers
Answer:
Step-by-step explanation:
Expression that represents Bo's balance after a year is 1.04m.
Therefore, the answer is option A: 1.04m.
The simple interest formula is:
I = Prt
where I is the interest earned, P is the principal or amount of money invested, r is the interest rate (as a decimal), and t is the time period (in years).
In this case, we know that the interest rate is 4% per year, or 0.04 as a decimal. The time period is 1 year, so t = 1.
Therefore, the interest earned after 1 year is:
I = Prt = m × 0.04 × 1 = 0.04m
The balance after 1 year is equal to the principal plus the interest earned, which is:
Balance = Principal + Interest = m + 0.04m = 1.04m
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Assume that the recovery time for an individual from an infectious disease can be modeled as a normal distribution. (a) Calculate the time, d, in days for an individual to recover from being initially infected, with a 95% confidence level, assuming that the likelihood of recovering at any time is modeled as a normal distribution with a mean of 5 days and a standard deviation of 0.5 days. (b) Use the SIR model that you constructed previously. Assume that a city of 10 million people is confronted with a potential infectious epidemic. A ship arrives at the international airport carrying 100 individuals who are infected, but are unaware that they are infected. While contagious, infected individuals come into transmission contact with another individual once every 2 days. The recovery process is modeled using the Poisson process from Part (a). Assume that recovered individuals that survive develop immunity to the disease. Plot the fraction of susceptible individuals, infected individuals, and recovered individuals as a function of time throughout the epidemic. (c) What fraction of the total population will have ultimately come down with the infectious disease once the epidemic is over? How many days after the ship docking did this number finally reach steady state (i.e.,the epidemic is completely over). (d) What is the basis for this structured model (i.e.,scale, time, etc.)? What is/are the major assumptions associated with the structure?
Answers
Upper
daysThe(a) The time for an individual to recover from an infectious disease, is estimated to be between 4.02 and 5.98 days. (d) The structured SIR model assumes homogeneous mixing, constant population, recovered immunity.
(a) To calculate the time for an individual to recover with a 95% confidence level, we can use the properties of the normal distribution. The 95% confidence interval corresponds to approximately 1.96 standard deviations from the mean in both directions.
Given:
Mean (μ) = 5 days
Standard deviation (σ) = 0.5 days
The confidence interval can be calculated as follows:
Lower limit = Mean - (1.96 * Standard deviation)
Upper limit = Mean + (1.96 * Standard deviation)
Lower limit = 5 - (1.96 * 0.5)
= 5 - 0.98
= 4.02 days
Upper limit = 5 + (1.96 * 0.5)
= 5 + 0.98
= 5.98 days
Therefore, the time for an individual to recover from the infectious disease with a 95% confidence level is between approximately 4.02 and 5.98 days.
(b) To simulate the epidemic using the SIR model, we need additional information about the transmission rate and the duration of infectivity.
(c) Without the transmission rate and duration of infectivity, we cannot determine the fraction of the total population that will have come down with the infectious disease once the epidemic is over.
(d) The structured model in this case is the SIR (Susceptible-Infectious-Recovered) model, which is commonly used to study the dynamics of infectious diseases. The major assumptions associated with the SIR model include:
Homogeneous mixing: The model assumes that individuals in the population mix randomly, and each individual has an equal probability of coming into contact with any other individual.
Constant population: The model assumes a constant population size, without accounting for birth, death, or migration rates.
Recovered individuals develop immunity: The model assumes that individuals who recover from the infectious disease gain permanent immunity and cannot be reinfected.
No vaccination or intervention: The basic SIR model does not incorporate vaccination or other intervention measures.
These assumptions simplify the model and allow for mathematical analysis of disease spread dynamics. However, they may not fully capture the complexities of real-world scenarios, and more sophisticated models can be developed to address specific contexts and factors.
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Choose all the equations that are true if y = 6.
52.37 – 46.37 = y
2 / 3 y = 4 1/2
8y = 48
3.2 + y = 9
y = 4 = 24
Answers
Answer:
The first and third.
Step-by-step explanation:
For the first one, you just subtract 52.37 and 46.37 and the answer is 6, so that makes the equation 6=y, which is right. The second one equals 6.75, so that's not what we need. For the third one, you divide by 8 on both sides to isolate y, and that results in y=6, which is right. For the fourth one you subtract by 3.2 on both sides to isolate y and that results in 5.8, which isn't what we need. I think for the last one you meant to type y=4+24, in which case that would be y=28, which isn't what we need.
The diagram shows a convex polygon. What Is The Value Of T?
Answers
Answer:
t = 9
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
sum the exterior angles and equate to 360
10t + 16t + 53 + 73 = 360 , that is
26t + 126 = 360 ( subtract 126 from both sides )
26t = 234 ( divide both sides by 26 )
t = 9
If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.
Answers
If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.
What is the inverse of a function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
Let us take the Example.
Suppose f(x)= x/4 and g(x)=4x.
Let x=1
then f(g(x))= f(g(1))=f(4)=1
and g(f(x))=g(f(1))=g(1/4)=1
Here, f(g(x))=g(f(x))=1
Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.
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find the answer (please i need help asap)
Answers
Answer:
\(\frac{2xx^{\frac{1}{4} } }{y^{\frac{11}{3} } }\)
Step-by-step explanation:
HELP PLS HELP HELP WILL MAKE BRAINLIEST
Answers
Answer: Therefore, 14% of cats and dogs got shelter during the day.
Step-by-step explanation:
cats = 5/50 * 100%
= 5*2% = 10%
dogs = 2/50* 100%
= 2*2% = 4%
so
= 10% + 4% = 14%
Answer:
Option A
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
