Answer:13.93
Step-by-step explanation:
Write each decimal as a fraction or mixed number in simplest form.
1 3/8
3/2
Step One: 1 3/8, transform the number into a improper fraction:
To have a mixed number in to a improper fraction, you need to use addition and multiplication. For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1). 8x1= 8NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12 Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8. 4 can be divide by both number so: 12/4= 3 and 8/4=2Now 3 is are simplify numerator and 2 is are simplify denominator.Brian can lay a slab of concrete in 6 hours, while Greg can do it in 4 hours. If Brian and Greg work together, how long will it take?
Answer:
2 2/5 hours
Step-by-step explanation:
In 6 hours Brian can lay 1 slab of concrete
dividing both side by 6
in 6/6 hours Brian can lay 1/6 slab of concrete
Thus, in 1 hour Brian can lay 1/6 slab of concrete
In 4 hours Greg can lay 1 slab of concrete
dividing both side by 4
in 4/4 hours Greg can lay 1/4 slab of concrete
Thus, in 1 hour Greg can lay 1/4 slab of concrete
Thus, total part of slab laid by both in 1 hour when they work together
1/6 + 1/4 = 4+6/(6*4) = 10/24 = 5/12
5/12 of slab of concrete is laid by both of them in 1 hour
time taken to lay 5/12 of slab = 1 hour
dividing both side by 5/12
time taken to 5/12/ 5/12 of slab = 1/5/12 hour = 12/5 hours
time taken to 1/1 of slab = 12/5 hours = 2 2/5 hours
Thus,
it takes 2 2/5 hours to lay the full slab of concrete when Brian and Greg work together,
Para cercar un terreno rectangular de 24 m? se emplearon 20 m de malla de alambre, (cuánto mide el largo del terreno
we get two possible solutions: L = 6 and W = 4. Therefore, the length of the land could be 6 meters.
If the rectangular plot has length L and width W, then we know that 2L + 2W = 20 since 20 meters of wire mesh were used. We also know that L × W = 24 since the area of the plot is 24 square meters. Solving these two equations simultaneously, We have the equations:
2L + 2W = 20
L × W = 24
From the first equation, we can solve for L in terms of W:
2L = 20 - 2W
L = 10 - W
Substituting this into the second equation, we get:
(10 - W) × W = 24
Expanding the brackets, we get: 10W - W² = 24
Rearranging and setting equal to zero, we get: W² - 10W + 24 = 0
We can solve this quadratic equation by factoring: (W - 6) × (W - 4) = 0
So the possible solutions for W are: W = 6 or W = 4
If W = 6, then L = 10 - W = 4, so the rectangular plot has dimensions 4 meters by 6 meters. If W = 4, then L = 10 - W = 6, so the rectangular plot has dimensions 6 meters by 4 meters. Therefore, the length of the land is 6 meters. because the length is assumed as the longer side of a shape or an object.
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Complete Question
To enclose a rectangular plot of 24 m², 20 m of wire mesh were used, what is the length of the land?
Determine which vehicle to purchase based on monthly payment.
A. Final sale price $25,000, 5
% interest, and offer financing for 60 months
B. Final sale price $29,000, 4% interest and offers financing for 72 months.
The amount paid to vehicle A is less than to vehicle B so, Vehicle A is suitable to purchase based on a monthly payment.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
For vehicle A,
The Principal amount of the car, P = $25000,
The rate of interest, r = 5% = 5/100 = 0.05,
The tenure, n = 60 months = 60/12 = 5 years,
Calculate the amount by the formula given below,
A = P (1 + r)ⁿ
Here A is the amount,
Substitute the values,
A = 25000 (1 + 0.05)⁵,
A = $31907.03
Similarly, for vehicle b
A = 29000 (1 +0.04)⁶
A = $36694.25
As the amount of vehicle A is less than the of vehicle B Therefore, vehicle A is suitable to buy.
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Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
Michaela’s favorite fruit to snack on is the “cotton candy grape.” She has $20 to spend on a gallon of cider that costs $3.50 and can spend the rest of her money on cotton candy grapes. The grapes cost $3.75 per pound. How many pounds of grapes can Michaela buy without spending more than the rest of the money after buying the cider?
Answer:
So, to answer this problem, we first have to get rid of the cider cost.
$20-$3.50=$16.50
Since we have $16.50 left, now we have to see how much cotton candy grapes Michaela can buy.
1 pound- $3.75
2 pound- $7.50
3 pound- $11.25
4 pound- $15
5 pound- $18.75
When Michaela buys 5 pounds of grapes, she gets a cost of $18.75.
Since $18.75 is $2.25 more than $16.50, the only option she can choose is 4 pounds.
When Michaela buys 4 pounds, she will spend $15 and she will still have $1.50 left. (If there is no tax.)
In summary, Micheala can buy 4 pounds of grapes without spending more than the rest of the money after buying cider.
(By the way, I LOVE cotton candy grapes.)
Hope this helps!
:)
10
Use the cards 1-10. Draw cards without replacing.
A.
B.
CÓ Ư
C.
D.
E.
F.
P(6, then 1)
P(even, then 5)
P(8, then odd)
P(3, then prime)
P(prime, composite)
P(even, then 3, then 5)
4
8
2
6
9
3
10
A. P(6, then 1) = 1/90
B. P(even, then 5) = 1/18
C. P(8, then odd) = 1/18
D. P(3, then prime) = 2/45
E. P(prime, composite) = 4/15
F. P(even, then 3, then 5) = 1/144
Given:
Total number of cards: 10
A. P(6, then 1):
P(6, then 1) = 1/10 x 1/9
= 1/90
B. P(even, then 5):
Number of favorable outcomes: 5 x 1 = 5
P(even, then 5) = 5/10 x 1/9
= 1/18
C. P(8, then odd):
Number of favorable outcomes: 1 x 5 = 5
P(8, then odd) = 1/10 x 5/9
= 1/18
D. P(3, then prime):
Number of favorable outcomes: 1 x 4 = 4
P(3, then prime) = 1/10 x 4/9
= 2/45
E. P(prime, composite):
Number of favorable outcomes: 4 x 6 = 24
P(prime, composite) = 4/10 x 6/9
= 4/15
F. P(even, then 3, then 5):
Number of favorable outcomes: 5 x 1 x 1 = 5
P(even, then 3, then 5) = 5/10 x 1/9 x 1/8
= 1/144
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There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
50 Points!!! Solve each inequality. Then graph the solution set on a number line. Photo attached
50
Step-by-step explanation:
plot it on the number line
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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"The solid has ( a circular base, a trapezoidal base, a triangular base, or a rectangular base) in the xy-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the xz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the yz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane z = 1 - x.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the 0plane y = 9 - 9z.
As x increases, the top of the region (decreases, increases, or remains constant).
As y increases, the top of the region (decreases, increases, or remains constant)."
The solid has a triangular face in the xy-plane.
The solid has a rectangular face in the xz-plane.
The solid has a trapezoidal face in the yz-plane.
The solid has a triangular face in the plane z = 1 - x.
The solid has a rectangular face in the plane y = 9 - 9z.
As x increases, the top of the region decreases.
As y increases, the top of the region remains constant.
The solid whose volume is given by the iterated integral, integral 0 to 1 integral 0 to (1-x) integral 0 to (9 - 9z) dy dz dx. This is a three-dimensional solid, that has been defined by three nested integrals. The outer integral is with respect to x, the second integral is with respect to y and the inner integral is with respect to z.
In the xz-plane, the solid has a rectangular face: the integral bounds for x are 0 to 1 and for z, it is 0 to (9 - 9z)
In the yz-plane, the solid has a trapezoidal face: the integral bounds for y are 0 to (1-x) and for z, it is 0 to (9 - 9z)
In the plane z = 1 - x, the solid has a triangular face: the integral bounds for x are 0 to 1 and z = 1 - x
In the plane y = 9 - 9z, the solid has a rectangular face: the integral bounds for y are 0 to (1-x) and y = 9 - 9z
As x increases, the top of the region decreases: the limit for y decreases from 9 to 0 as x increases from 0 to 1
As y increases, the top of the region remains constant: y = 9 - 9z is a constant value, as y increases, the integral bounds for z decrease from 9 to 0
This solid is a rectangular pyramid with a trapezoidal base. The rectangular face is located in the xz-plane, the trapezoidal face is located in the yz-plane, the triangular face is located in the plane z = 1
--The question is incomplete, answering to the question below
"The solid whose volume is given by the iterated integral,
∫ [0 to 1] ∫ [0 to (1-x)] ∫ [0 to (9 - 9z)] (dy dz dx)
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the xz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the yz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane z = 1 - x.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane y = 9 - 9z.
As x increases, the top of the region (decreases, increases, or remains constant).
As y increases, the top of the region (decreases, increases, or remains constant)."
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7x+3 find x. I am confused I need help………………….
Use the figure below to find the value of x show all work
Answer:
Step-by-step explanation:
Add 53 and 35 because 53 and x are alt exterior angles. That means that they are equal/ congruent. You can translate the angle where the 35 is down to x because they are equal.
So:
53+35= 88 degrees
x=88
please help quick giving 25 points
Answer:
Step-by-step explanation: 5.) Circular shape.
6.) Feet.
7.) Circle.
8.) The circumference is 9 and the radius is 18.
9.) By the way we would need to use The Circumference as 2 and the radius to be 9 to equal 18 for the radius circle.
is -2(-4x+10) equivalent to 4(2x-6)
is 2(4x-10) equivalent to 4(2x-6)
Hey there!
QUESTION #1
-2(-4x + 10)
= -2(-4x) - 2(10)
= 8x - 20
~~~~~~~~~~~~~~~
4(2x - 6)
= 4(2x) + 4(-6)
= 8x - 24
~~~~~~~~~~~~~~~
8x - 20 ≠ 8x - 24
Thus your answer is: FALSE
—————————————————-
QUESTION #2
2(4x - 10)
= 2(4x) + 2(-10)
= 8x - 20
~~~~~~~~~~~~~~~~~
4(2x - 6)
= 4(2x) + 4(-6)
= 8x - 24
~~~~~~~~~~~~~~~~
8x - 20 ≠ 8x - 24
Thus, your answer is: FALSE
—————————————————
To sum it all up [NONE OF THEM ARE EQUIVALENT] to each other because they all give different results.
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Declare double variables
x1,y1,x2
, and
y2
, and read each variable from input in that order. Find the slope between point (
x1,y1
) and point
(x2,y2)
and assign the result to slopeNumber. The calculation is: slope
= x 2 −x 1 y 2
​ m −y 1
​ ​ Ex: If the input is
2.05.01.52.5
, the output is:
5.00
Note: Assume that ×1and ×2
will not be the same.,
The slope between the two points is calculated by using the formula for the slope of a line: slope = (y₂ - y₁) / (x₂ - x₁).
Here is the code in Java to declare and read the variables and find the slope between two points:
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
double x₁, y₁, x₂, y₂, slopeNumber;
System.out.print("Enter x₁: ");
x₁ = input.nextDouble();
System.out.print("Enter y₁: ");
y₁ = input.nextDouble();
System.out.print("Enter x₂: ");
x₂ = input.nextDouble();
System.out.print("Enter y₂: ");
y₂ = input.nextDouble();
slopeNumber = (y₂ - y₁) / (x₂ - x₁);
System.out.println("The slope between the two points is: " + slopeNumber);
}
}
In this code, we use the Scanner class to read the input from the user. The user is prompted to enter the values of x₁, y₁, x₂, and y₂. Then, the slope between the two points is calculated by using the formula for the slope of a line: slope = (y₂ - y₁) / (x₂ - x₁).
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--The given question is incorrect; the correct question is
"Declare double variables x₁, y₁, x₂, and y₂, and read each variable from input in that order. Find the slope between point (x₁, y₁) and point (x₂, y₂) and assign the result to slope number."--
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
After 2 years, $90,000 deposited in savings account with simple interest had earned
$3,600 in interest. What was the interest rate?
HURYYY
Answer:
2% I think, I don't know, 4%‽
A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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Can I have some help here
Answer:
the answer of that question is Letter C
The figure below shows parallel lines cut by a transversal. Which statement is true about angles 1 and 2?
A. Angles 1 and 2 are complementary because they are a pair of corresponding angles.
B. Angles 1 and 2 are congruent because they are a pair of corresponding angles.
C. Angles 1 and 2 are complementary because they are a pair of alternate interior angles.
D. Angles 1 and 2 are congruent because they are a pair of alternate interior angles.
Answer:
The answer is B. they are congruent because they are a pair of corresponding angles.
Answer:
B)
Step-by-step explanation:
Angles 1 and two are corresponding angles, because if you were to move the top line down, the two angles would be in the exact same spot.
If sine of the quantity x plus y end quantity equals radical 2 over 2 times sine of x plus radical 2 over 2 times cosine of x comma what is the value of y?.
If the sine of the quantity x plus y end quantity equals radical 2 over 2 times the sine of x plus radical 2 over 2 times cosine of x , the value of y is -2cos(x)
To determine the value of y in this equation, we can use the trigonometric identity sin(A+B)= sin(A)cos(B)+cos(A)sin(B).By rearranging this identity, we can isolate y on side of the equation and solve for it. first, we can isolate the sine of x by subtracting radical 2 over 2 times the cosine of x from both sides of the equation, and we can isolate radical 2 over 2 times the sine of x by dividing both sides of the equation by radical 2 over 2.
We then have the follwoing equation : sin(x+y)=sin(x). Now, we can use the same trigonometric identity from the beginning to isolate y. To do this, we subtract sin(x) from both sides of the equation, and we divide both sides of the equation by cos(x). We now have the following equation: y= -2xos(x). Therefore the value of y is equal to -2cos(x)/
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2. The mean temperature in an area is 74 degrees Fahrenheit. The sum of the temperatures is
2,516. How many temperatures are in the set?
To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.
Number of temperatures = Sum of temperatures / Mean temperature
In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.
Number of temperatures = 2,516 / 74
Calculating the division:
Number of temperatures ≈ 34.05
Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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Write an equation of the form y=a sin b x or y=a cos b x to describe the graph below.
Greetings from Brasil...
In a trigonometric function of Cosine, we have:
F(X) = ±A ± B.COS(MX + N)where
A = move the graph up or down
B = change the amplitude
M = change period
N = move the graph left or right without distorting it
According to the statement, we don't have A and N, so
F(X) = ± B.COS(MX)
According to the graph presented, we have:
B = amplitude = 2.5 = 5/2
period = π
detail that
Period = 2π/M
π = 2π/M ⇒ M = 2
As B = 5/2 and M = 2, then
F(X) = (5/2)COS(2X)(I used the cosine function, because in X = 0 Y will have a non-zero value, as we can see in the graph)
A car rental company charge $50 a day and 20 cents per mile for renting a car. Let y be the total rental charge (in dollar) for a car for one day and x be the miles driven. The equation for the relationship between x and y is y = 50 + 20x How much will a person pay who rents a car for one day and drives it 100miles
Answer:$2050.
Step-by-step explanation:
To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:
y = 50 + 20x
y = 50 + 20(100)
y = 50 + 2000
y = 2050
Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.
9. To purchase a new MP3 player Rosa must save at least $85, which inequality represents
the amount of money, m, Rosa must save?
A m≤ 85
B m < 85
C m≥ 85
D m> 85
Answer:
Rosa must save at least $85 to purchase a new MP3 player.
The word "at least" indicates that the amount Rosa needs to save is not less than $85, but it could be more than $85.
Therefore, the inequality that represents the amount of money Rosa must save is:
C) m ≥ 85
This is because the amount Rosa saves, represented by "m", must be greater than or equal to $85 in order to afford the MP3 player.
Cuantas Escuelas de administración hay ?
Y = x square - 4 can you answer please
Answer:
In the attachments, hope this helps
Answer:
there ya go, I hope this helped