The required net income of the companies is given as 49,000.
Given that,
Accounts receivable of 88000 and accounts payable of 39000 and have revenues of 121000 and expenses of 83000 what is the company's net income is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total income = 88000 + 121000 = 209000
Total outflow = 39000 + 83000 = 122000
Net income = 209000 - 122000 = 49000
Thus, the required net income of the companies is given as 49,000.
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In Autobiography by Abraham Lincoln, Lincoln avoids embellishing on his own life and keeps his portrayal of his life very_____.
A. neutral
B. negative
C. humorous
Abraham Lincoln, in his autobiography, kept his portrayal of his life very: A. neutral.
What is an Autobiography?An autobiography can be described as the account of the of an individual which is authored by the individual whose life is being narrated.
For Abraham Lincoln, the manner in which he described himself sounded quite neutral in the autobiography he authored.
We can conclude that Lincoln kept his portrayal of his life very: A. neutral.
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what are the measures of the angles of a triangle (4x-4) 58 (8x-18)
I really need to know how to solve this type of problems
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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How many burgers would there be made in 30 minutes if it takes 1 minute to make four?
Answer: 120 burgers would be made in 30 minutes.
Step-by-step explanation:
1 minute = 4 burgers
30 minutes= 120 burgers
(Multiply 4 x 30)
Answer:
120
Step-by-step explanation:
Multiply 30 times 4 because you can make 4 burgers per minute and there are 30 minutes.
A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
Convert 6 1/4 into an improper fraction
Answer:
25 over 4
Step-by-step explanation:
Improper fraction for the given mixed fraction is
\(\frac{25}{4}\)
Given :
We are given with mixed fraction .
Convert the mixed fraction into an improper fraction
Given mixed fraction is \(6 \frac{1}{4}\)
To convert it in to improper fraction , multiply the whole number 6 by the denominator 4 and then add the numerator .
\(6 \frac{1}{4} \\ \frac{6 \cdot 4 +1}{4} \\ \frac{25}{4} \\\)
The improper fraction for the given mixed fraction is
\(\frac{25}{4}\)
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what is the linear equation that has a y-intercept of -4 and a x-intercept of -5
The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
Equation of a lineThe equation of a line in slope intercept form is expressed y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:
Slope = y₂-y₁/x₂-x₁
Slope = 4/-5
Slope = -4/5
Determine the equation
y = -4/5x + (-4)
y = -4/5x - 4
Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
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Jack's dinner bill was $25.20. If Stephanie's
dinner bill was 2/3 of Jack's bill, how much
was Stephanie's bill?
The total amount of Stephanie's bill was $16.80
Given data:
Jack's dinner bill was $25.20.
Stephanie's dinner bill was 2/3 of Jack's bill.
Stephanie's dinner bill can be calculated by multiplying Jack's bill by 2/3, as it is mentioned that her bill is 2/3 of Jack's bill. Given that Jack's dinner bill was $25.20, we can find Stephanie's bill using the following calculation:
Stephanie's bill = (2/3) * Jack's bill
Multiply the fraction 2/3 by Jack's bill to find Stephanie's bill:
Stephanie's bill = (2/3) * $25.20
Stephanie's bill = $16.80
On simplifying the equation:
Stephanie's bill = $16.80
Therefore, Stephanie's dinner bill was $16.80, which is 2/3 of Jack's bill. This means that Stephanie's bill was two-thirds of the amount that Jack paid for his dinner.
Hence, the bill amount is $16.80 for the dinner.
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HELP! I need help very quick! Please
Answer:
1st is 15 dollar I am looking for 2nd 1by2 dollar 3rd no
olumide plays the piano and guitar for every 5 minutes of piano practice he spends 8 minutes practicing guitar how many minutes will olumide practice piano if he spends 64 minutes practicing guitar
Answer: 40 minutes
Step-by-step explanation:
5:8
(5x8):(8x8) to go from 8 to 64 multiply by 8 on both sides.
40:64
If olumide plays the piano and guitar for every 5 minutes of piano practice he spends 8 minutes practicing guitar as a result 40 minutes will olumide practicing piano if he spends 64 minutes practicing guitar.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that olumide plays the piano and guitar for every 5 minutes of piano practice he spends 8 minutes practicing guitar.
The ratio of playing piano and guitar is,
5: 8
Multiply by 8 in the given ratio we get,
8 × 5: 8 × 8
40: 64
So when he plays guitar for 64 minutes he will play 40 minutes of the guitar.
Thus, if olumide plays the piano and guitar for every 5 minutes of piano practice he spends 8 minutes practicing guitar as a result 40 minutes will olumide practicing piano if he spends 64 minutes practicing guitar
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f(x)=x+6, g(x)=x-6
Verify that f and g are inverse functions
The functions f and g are inverse functions because f(g(x)) = g(f(x)) = x
How to verify that f and g are inverse functionsFrom the question, we have the following parameters that can be used in our computation:
f(x) = x + 6
g(x) = x - 6
To determine the inverse function, we calculate
f(g(x)) and g(f(x))
Using the above as a guide, we have the following:
f(g(x)) = x + 6 - 6 = x
g(f(x)) = x + 6 - 6 = x
So, we have
f(g(x)) = g(f(x)) = x
Hence, the functions are inverse functions
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Radius 11cm ___ ____
Diameter ___ ___ 40 mm
Area ____ 109.9cm² ___
Answer:
Radius 11cm 5.91cm 20mm
Diameter 22cm 11.82cm 40mm
Area 380.13cm 109.9cm 1256.64mm
Step-by-step explanation:
If x^2 = 196, what is the sum of the possible values of (x −1)^2?
Answer:
Step-by-step explanation:
x²=196
x=±14
when x=14
(x-1)²=(14-1)²=13²=169
when x=-14
(x-1)²=(-14-1)²=(-15)²=225
sum=169+225=394
please help me solve
The equation for the line of best fit is: C. y = 0.894x + 0.535.
How to determine the equation for the line of best fit?In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;
x y x² y² xy__
5 4 25 16 20
6 6 36 36 36
9 9 81 81 81
10 11 100 121 110
14 12 196 144 168
Sum 438 398 415
Next, we would calculate the mean of the x and y variables as follows;
Mean = [∑(x)]/n
Mean = 44/5
Mean, \(\bar{x}\) = 8.8
Mean = [∑(y)]/n
Mean = 42/5
Mean, \(\bar{y}\) = 8.4
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4
∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²
∑(x - \(\bar{x}\))² = 50.8
Now, we can determine the slope coefficient for the line of best fit:
Slope (b) = 45.4/50.8
Slope (b) = 0.894.
Lastly, we would determine the intercept (a) as follows;
\(a = \bar{y} - b\bar{x}\)
a = 8.4 - (0.894)8.8
a = 0.535
Therefore, the required equation is y = 0.894x + 0.535.
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Which would help you find the solution to 12 × 4.7?
Which is more square, a rectangle that measures 35cm x 39cm or a rectangle that measures 22cm x
25cm?
Answer:
rectangle that measures 22cm x
25cm
A rectangle that measures 22cm x 25cm is more square.
What is an area of a rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
To determine which rectangle is more square, we need to compare their aspect ratios, which is the ratio of the length to the width of the rectangle. A rectangle is considered to be more square when its aspect ratio is closer to 1.
In the first rectangle, the aspect ratio is 35cm/39cm = 0.897. In the second rectangle, the aspect ratio is 22cm/25cm = 0.88. Since the aspect ratio of the second rectangle is closer to 1, it is considered to be more square.
It's worth mentioning that a square is a special type of rectangle where all four sides are equal in length. So, if we compare the rectangles with a square, the rectangle that measures 22cm x 25cm is less square than a square with a side length of 22cm or 25cm.
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of 10
Type the expression that results from the following series of steps:
Start with X, subtract 4, divide by 5, then add 9.
Answer:
= X + 8.2
Step-by-step explanation:
Here is some information about the goals scored in some hockey games.
I need to respond questions B and C
Answer:
c=10
Step-by-step explanation:
The regular pentagon shown is rotated clockwise about center point P.
●P
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
are you tempted to calculate the internal angles ?
that is, I guess, the trap set by your teacher here, and it would be the wrong approach.
nevertheless, quickly just as a reminder :
the sum of all internal angles in a polygon is
(n - 2)×180°
n being the number of sides.
in our case that is
(5 - 2)×180 = 3×180 = 540°
so, each internal angle is 540/5 = 108°.
but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.
we are running each vertex along a circle arc. the center of that circle being P.
after every 1/5 of the circle arc there is a vertex of the pentagon.
and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.
so, instead of a full circle rotation we need only 1/5 of that :
360 / 5 = 72°
and with every additional 1/5 of the circle arc (or 72°) we get it again.
that means at
72°
144°
216°
288°
360°
the pentagon carries onto itself.
therefore, A, D and E are correct.
Which of the following sets of ordered pairs represents a function? PLEASE HELP
The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).
{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}
In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.
{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.
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A firm fixed cost is 5000 birr and the variable cost per unit of output is 5 birr selling price per unit is 10 birr at what numbers of units will break even occur
Answer:
sell 1000 units to break even
Step-by-step explanation:
cost = 5000 + 5u
revenue = 10u
For breakeven point, set cost = revenue
5000 + 5u = 10u
5000 = 5u
1000 = u
A skyscraper casts a shadow 200 ft long. If the angle of elevation of the Sun is 38 degrees, then the height of the skyscraper is approximately _____.
A. 200 ft
B. 173.34 ft
D. 156.26 ft
The height of the skyscraper is D. 156.26 ft
How to determine the valueTo determine the height of the skyscraper, we need to consider the following trigonometric identities listed thus;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Angle, θ = 38 degrees
The shadow casted is the adjacent side of the angle and is 200 ft
The height off the skyscraper is the opposite side
Now, using the tangent identity, we have that;
tan θ = opposite/adjacent
tan 38 = h/200
cross multiply the values, we get;
h = 200(0.7812)
Multiply the values
h = 156. 26 ft
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I don't get it can u please show me how to do it step by step
Step-by-step explanation:
6.)
|x - 6| = 5
x + 6 = 5
x = 5 - 6
x = - 1
7.)
|3x - 7| = 12
3x + 7 = 12
3x = 12 - 7
3x = 5
x = 5/3
8.)
|2x + 9| - 10 = 5
2x + 9 - 10 = 5
2x - 1 = 5
2x = 1 + 5
2x = 6
x = 6/2
x = 3
Please help me w this hehehehehh
Answer:
-25x-45y, because if we have got + and -, so we will write minus.
In a school of 320 children, 45% of the children speak a language other
than English at home.
(i) Calculate the number of children in the school who speak a
language other than English at home.
(ii) Of the children who speak a language other than English at home,
24 speak Polish. Write the number of children who speak Polish as
a fraction of the number of children who speak a language other than English at home.
Give your answer in its simplest form.
The number of children in the school who speak a language other than English at home is 144.
The fraction of children who speak Polish is 1/6.
How many children speak a language other than English?Percentage is the ratio of a quantity expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.
Number of children in the school who speak a language other than English at home = Percentage of the students who speak a language other than English x number of children
Number of children in the school who speak a language other than English at home = 45% x 320
Number of children in the school who speak a language other than English at home = 0.45 x 320 = 144
A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
Fraction of the students who speak Polish = number of students that speak Polish / total number of students who speak a language other than English.
Fraction of the students who speak Polish = 24 / 144 = 1/6.
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Which of the following sets of numbers could represent the three sides of a right
triangle?
{40, 76, 85}
{43,56,70}
{39, 52, 66}
{15, 20, 25}
PLEASE HELP I DON’T UNDERSTAND!!!
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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A random sample of size 18 from a normal population gives 36.5 and s^2 1148. Find the upper bound of a 99% confidence interval for σ^2 (round off to the nearest integer).
The upper bound of a 99% confidence interval is found as 57.07.
A random sample of size 18.
Normal population gives 36.5.
Explain the term upper confidence bound (UCB)?
A confidence boundary which the algorithm sets to each machine on each cycle of exploration is the foundation of the deterministic UCB method for Reinforcement Learning, which focuses on exploring and exploiting.Whenever a machine is often used frequently than other machines, the border shrinks.
For the stated question-
sample size n = 18
normal population mean x = 36.5
variance s² = 1148; s = 33.88
z(α/2) for 99% confidence interval = 2.576
Thus, upper confidence bound (UCB) is estimated as;
UCB = \(x + z(\frac{\alpha}{2} )*\frac{s}{\sqrt{n} }\)
UCB = 36.5 + 2.576×33.88/√18
UCB = 36.5 + 20.57
UCB = 57.07
Therefore, the upper bound of a 99% confidence interval is found as 57.07.
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I'll mark whoever answers first!! Please help me
Answer:
Center ( -8, 1 )
Radius ( 13 )
Applying the Pythagorean Theorem
What is the value of x?
x = ?
Answer :
hyp² = base² + perp²
by putting the values we get
10² = 8² + perp²
100 = 64 + perp²
taking 64 to left side.
100 - 64 = perp²
36 = perp²
Now taking underroot on both sides we get
\( \sqrt{36 \: } = \sqrt{perp { }^{2} } \)
therefore
6 = perp
perp is x in the above solution.
The solution is x = 6
The value of x in the triangle is x = 6
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Triangle ABC is a right triangle
Now , the measure of sides of the triangle are
The measure of side AB = x
The measure of side BC = 8
The measure of side AC = 10
Now , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
10² = x² + 8²
Subtracting 8² on both sides of the equation , we get
x² = 10² - 8²
x² = 100 - 64
x² = 36
Taking square roots on both sides of the equation , we get
x = 6
Therefore , the value of x is 6
Hence , the measure of side AB of the triangle is x = 6
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