The procedure for solving -275+156-(-293)-157 = 17 is to follow bodmas operation
Evaluation-275+156-(-293)-157 = 17
Using BODMAS
b - bracketo - offd - divisionm - multiplicationa - additions - subtraction-275+156-(-293)-157 = 17
= -275 + 156 + 293 - 157
= 17
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Points A, B and C make the triangle triangle ABC and are at the coordinates A(- 4, 3) , B(- 48, 17) and C(22, - 53) . Point D is the midpoint of BC and AD is a median of triangle ABC . What is the equation of the median in standard form?
PLEASE HELP ASAP
The equation of the median in standard form is; 9y - 38x = 179.
What is the equation of the media in standard form?It follows from the task content that the point D is the midpoint of segment BC; Hence, the coordinates of point D given the coordinates of B and C above are given as; D(-13, -35).
The equation of the median which is the line joining points A and D is therefore determined as follows;
Slope = (-35-3)/(-13-(-4)) = 38/9
38/9 = (y-3)/(x+4)
9y -27 = 38x + 152
9y - 38x = 179.
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11) Find the mode of the data set.
O a.) 9
Ob.) 8
Oc.) 7
O d.) 6
Data:
5, 8, 12, 6, 7, 10, 14, 6, 13
4
Answer:
6
Step-by-step explanation:
The mode is the number that is repeated the most in the data set. 6 is the only number that is repeated twice, so it is the mode.
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Expand 4(6)to the 8th power
4(6)^8
The expanded form of the given exponential equation is 6718464
Exponential equationsExponential equations are inverse of logarithmic equations. The standard exponential equation is expressed as. y = ab^x
where
a is the base
x is the exponent
Given the expression below;
a = 4(6)^8
Expand to have:
a = 4 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6
a = 4 * 1679616
a = 6718464
Hence the expanded form of the given exponential equation is 6718464
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What is the value of a?
O 5 units
05/
units
6 units
O 7 units
From the Δ YWZ we get c = 5 then the value of [tex]$a= 5 \frac{1}{3}[/tex].
How to estimate the value of a?In the given Δ YWZ
WZ² = YW² + YZ²
c² = 4² + 3² = 16 + 9 = 25
c = 5
In the Δ XYW
b² = 4² + a²-----(1)
In the right-angle Δ WXZ
(a + 3)² = b² + c²
a² + 9 + 6a = b²+ c²
By putting the value of b² from (1)
a² + 9 + 6a = 16 + a² + 25
Simplifying the above equation, we get
6a + 9 = 41
6a = 41 - 9
6a = 32
[tex]$a = \frac{32}{6} = \frac{16}{3}[/tex]
[tex]$a= 5 \frac{1}{3}[/tex]
Therefore, the value of [tex]$a= 5 \frac{1}{3}[/tex].
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It rains 4 days in a week and is dry for 3 days. What fraction of the week is dry?
Answer:3/7
Step-by-step explanation:There are total 7 days in a week. 3 days were dry so the fraction is 3/7 . The dry days over the total days of the week
W
If 15 cans of food are needed for 7 campers for 2 days,
the number of cans needed for 4 campers for 7 days
is? (round up to nearest whole number)
Answer:
30 cans
Step-by-step explanation:
cross multiply
14x = 28 * 15
14x = 420
x = 420/14
x = 30 cans
Name the type of angle relationship. Set up the equation and solve for x.
Equation:
Solve: x :
Answer:
Same side interior angles
x=10
Step-by-step explanation:
The angles are same side interior angles
The add to 180 degrees
6x+10 + 110 = 180
Combine like terms
6x+120 =180
Subtract 120 from each side
6x = 180-120
6x= 60
Divide by 6
6x/6 = 60/6
x = 10
Answer:
Same-Side Interior Angles
Equation: 6x + 10 + 110 = 180
x = 10
Step-by-step explanation:
Hello!
The sum of the two given angles is 180°, as they are same-side interior angles.
Equation: 6x + 10 + 110 = 180
Solve for x6x + 10 + 110 = 1806x + 120 = 1806x = 60x = 10The value of x is 10°.
Q3 The grade-point averages of 20 college seniors selected at random from the graduating class are as follows:
3.2 1.9 2.7 2.4 2.8 2.9 3.8 3.0 2.5 3.3
1.8 2.5 3.7 2.8 2.0 3.2 2.3 2.1 2.5 1.9
a) Evaluate the Median of grade point
b) Calculate the highest marks of bottom 30% students
d) Calculate Q1 & Q3.
Answer:
Step-by-step explanation:
A) The median number is just the middle number so it should be 2.8
B) Bottom 30% are the six lowest amounts. The highest of the bottom six numbers is 2.3. Not sure what it means by calculating them. 1.8, 1.9, 1.9, 2.0, 2.1, and 2.3 are the lowest six. If you need to add them up the answer is 12.
C) I don’t know what your Q1 is.
Decide whether the conditions create a unique triangle, multiple triangles, or no triangle m∠A=65∘ m∠B=75∘ m∠C=40∘
Answer:
multiple triangles
Step-by-step explanation:
add the numbers up it adds to 180 which is the sum of a triangle and could create other triangles
if f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)
The equation of f(x) is f(x) = x + 4
How to determine the equation?The given parameters are
f(-1) = 3 and f(1) = 5
Start by calculating the slope (m) using:
[tex]m = \frac{f(1) - f(-1)}{1 - -1}[/tex]
This gives
[tex]m = \frac{5 - 3}{1 + 1}[/tex]
Evaluate
m = 1
The equation is then calculated as;
f(x) = m(x - x1) + f(-1)
This gives
f(x) = 1(x + 1) + 3
Expand
f(x) = x + 4
Hence, the equation of f(x) is f(x) = x + 4
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A perimeter of a movie screen is 56 meters. the area is 171 square meters what are the dimensions of the screen
Using the formula for the perimeter and area of rectangle, the dimensions are: Length = 19 m; width = 9 m.
What is the Perimeter and Area of a Rectangular Shape?Perimeter = 2(length + width)
Area = (length)(width).
Let x represent the length and y the width, therefore:
2(x + y) = 56 --> eqn. 1
xy = 171 --> eqn. 2
Rewrote eqn. 1
x + y = 56/2
x = 28 - y
Substitute x = (28 - y) into eqn. 2
171 = (28 - y)y
171 = 28y - y²
171 - 28y + y² = 0
y² - 28y + 171 = 0
Factorize
(y - 9)(y - 19)
y = 9 and y = 19
Therefore, the dimensions are: Length = 19 m; width = 9 m.
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Use the table to the right to answer the following question.
Compare the energy released by fission of 1 kilogram of element B to that released by burning 1 kilogram of element A.
The energy is compared based on the information given below.
How to illustrate the energy?Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8
Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10
Therefore,
Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25
Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.
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The other part of the question:
Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8
Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180
The true options regarding the triangle diagram are;
m∠5 + m∠6 = 180°
m∠2+ m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
How to prove congruent angles?We see the attached image showing ΔABC with Exterior angles as;
∠ 1 , ∠ 4 ,and ∠ 6
Now, the exterior angle property of triangles states that; An exterior angle of a triangle is equal to the sum of the opposite interior angles.
For Exterior ∠1 we have;
∠1 = ∠5 + ∠3 (Exterior angle Property of Triangle)
Similarly,
For Exterior ∠ 4 we have;
∠4 = ∠5 + ∠2 (Exterior angle Property of Triangle)
For Exterior ∠6 we have;
∠6 = ∠2 + ∠3 (Exterior angle Property of Triangle)
From Triangle Sum Property, we know that the sum of the measures of angles in a triangle is equal to 180°. Thus;
m∠2 + m∠3 + m∠5 = 180° (Triangle Sum Property)
Linear Pair of angles states that the measure of a straight angle is 180° and as such a linear pair of angles must add up to 180°. Thus;
m∠5 + m∠6 = 180° (Linear Pair)
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Determine the point where the lines x=4t+1,y=t-9,z=2t+1 and x=5s+1, y= -s, z= 5s -9 intersect.
(Write your answer in the form of a point, (*,*,*). Enter DNE if the lines do not intersect.)
By reduction to the absurd, the two lines do not intercept each other because of the following absurd: 5 = - 4.
How to find the point of intersection between two lines in space
From statement we have two lines in space, whose vector forms are described below:
(x, y, z) = (1, - 9, 1) + t · (4, 1, 2) (1)
(x, y, z) = (1, 0, - 9) + s · (5, - 1, 5) (2)
The point of intersection satisfies the following condition:
(1, - 9, 1) + t · (4, 1, 2) = (1, 0, - 9) + s · (5, - 1, 5)
(1, - 9, 1) - (1, 0, - 9) = s · (5, - 1, 5) + t · (- 4, - 1, - 2)
s · (5, - 1, 5) + t · (- 4, - 1, - 2) = (0, - 9, - 8)
There is a point of intersection if the resulting system of linear equations has at least a solution:
5 · s - 4 · t = 0 (2)
- s - t = - 9 (3)
5 · s - 2 · t = - 8 (4)
By (2):
s = 4 · t/5
(2) in (3):
- 4 · t/5 - t = - 9
- 9 · t/5 = - 9
t/5 = 1
t = 5
(2) in (4):
5 · (4 · t/5) - 2 · t = - 8
4 · t - 2 · t = - 8
2 · t = - 8
t = - 4
By reduction to the absurd, the two lines do not intercept each other because of the following absurd: 5 = - 4.
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How do I scale a landscape drawing that is half an acre
The steps to carry out scaling of a landscape drawing are; as detailed below
How to do landscape drawings?The steps to carry out if we want to scale landscape drawings are;
1) Measure the half acre area that you want to draw.2) Write down your notations. Convert the measurements to inches so you can draw your rendition on a piece of standard paper.3) Scale the items by use of ratios. Set up your fraction as the length of the paper divided by the measured length.4) Divide the fraction answer by the measured length and reduce the fraction by dividing the top and bottom by the fraction answer.5) Scale everything you are going to draw accordingly.Read more about Landscape drawings at; https://brainly.com/question/15738857
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A room has a floor dimension of 30 feet by 50 feet. The height of the basement is 6 feet. What is the total area of all four walls?
Answer:
960 feet
Step-by-step explanation:
30×6=180
180×2=360
50×6=300
300×2=600
360+600=960
Diego Company manufactures one product that is sold for $70 per unit in two geographic regions—the East and West regions. The following information pertains to the company’s first year of operations in which it produced 53,000 units and sold 48,000 units.
Variable costs per unit:
Manufacturing:
Direct materials $ 21
Direct labor $ 10
Variable manufacturing overhead $ 2
Variable selling and administrative $ 4
Fixed costs per year:
Fixed manufacturing overhead $ 1,060,000
Fixed selling and administrative expense $ 557,000
The company sold 36,000 units in the East region and 12,000 units in the West region. It determined that $270,000 of its fixed selling and administrative expense is traceable to the West region, $220,000 is traceable to the East region, and the remaining $67,000 is a common fixed expense. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product.
15. Assume the West region invests $43,000 in a new advertising campaign in Year 2 that increases its unit sales by 20%. If all else remains constant, what would be the profit impact of pursuing the advertising campaign?
The 53,000 units produced and the increase in sales of 50,400 - 48,000 = 2,400 units, give an impact (increase) in profit of $168,000
How can the impact in profit be found?Price per unit = $70
Number of units produced = 53,000
Number of units sold = 48,000
Material cost per unit = $21
Labour cost per unit = $10
Manufacturing overhead = $2
Selling and administrative overhead = $4
Fixed cost = $1,060,000
Administrative expenses = $557,000
Advertising cost = $43,000
Percentage increase in sales = 20%
Number of units sold in Year 2 = 1.2 × 12,000 = 14,400
Total cost = 53000×(21+10+2+4) + 1,060,000 + 557,00 = 3,578,000
Total revenue in Year 1 = 70 × 48,000 = 3,360,000
Profit = Revenue - CostProfit in Year 1 = 3,360,000 - 3,578,000 = -218,000
Total revenue in Year 2 = 70 × (36,000+14,400) = 3,528,000
Profit in Year 2 = 3,528,000 - 3,578,000 = -50,000
The impact on the profit is therefore;
-50,000 - (-218,000) = 168,000
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Solve for x.
BC = 2
CD =2x-6
BD X+2
Answer:
6
Step-by-step explanation:
Assuming C lies on segment BD, we know that by the segment addition postulate,
[tex]BC+CD=BD \\ \\ 2+2x-6=x+2 \\ \\ 2x-4=x+2 \\ \\ x=6[/tex]
The values of BC = 2, CD = 2x - 6 and BD = x + 2 then the value of x = 6.
How to find the value of x?The algebraic expression should be any one of the conditions such as addition, subtraction, multiplication, and division.
In mathematics, an algebraic expression exists as an expression built up from integer constants, variables, and algebraic operations. For example, 3x² − 2xy + c exists as an algebraic expression.
To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Given: BC = 2, CD = 2x - 6 and BD = x + 2 then
BC+CD= BD
2+2x-6=x+2
Simplifying,
2x-4=x+2
Thus,
x=6
Therefore, the value of x = 6.
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If f(x) = -4x-8 and g(x)=3x²+x, then f(-1)g(2) =
Answer:
b
Step-by-step explanation:
(-4(-1)-8)(3(2)^2+2=4-8×12+2
-4×14=-56
Solve the following:
3 x 10³ - 7000
(8 × (−5)) + (4² +2²)
Give your answer in simplest form.
Enter can you help me solve this I was doing very good up to now
Answer:
3x(10x10x10): 3x(1000): 3000-7000: -4000. (8x(-5)): -40. (4x4) +(2x2): (16 +4): 20
A teacher designs a test so that 93% of students who study will pass and 9% of students who don't study will pass. 88%
of students study for a test. What is the probability that a randomly selected student passes?
A. 1.057
B. 0.833
C. 0.084
D. 0
E. 0.829
Answer:
Step-by-step explanation:
First find the percentage of the ones that pass that study
.93 *(88)=88.84%
next find the ones that pass that did not study
.09*(100-88)=1.08
sum these to get the total passing percentage
88.84+1.08=82.92%
The probability is 82.9 per 100 or .8292 for student
E is the answer
Burger Corp has $468,500 of assets, and it uses only common equity capital (zero debt). Its sales for the last year were $778,500, and its net income after taxes was $25,000. Stockholders recently voted in a new management team that has promised to lower costs and get the return on equity up to 15%. What profit margin would Burger need in order to achieve the 15% ROE, holding everything else constant?
Answer in % without units (i.e. 17.11% -> 17.1 )
ANSWER: 9.0
BUT I WANT TO KNOW HOW TO SOLVE
The profit margin required to achieve 15% targeted ROE is 9.0%
The ROE means return on equity, it is the return earned on shareholders fund or shareholders equity.
Based on the three-way DuPont approach to computing the ROE, the below formula is very relevant to this analysis:
ROE=net profit margin*assets turnover*equity multiplier
ROE=15%
net profit margin=the unknown now(assume it is X)
assets turnover=sales/total assets
assets turnover=$778,500/$468,500
assets turnover=1.6616862326574200
equity multiplier=total assets/total equity
Note the company is entirely financed by equity(zero debt) which means that total assets is the same as total equity
equity multiplier=$468,500 /$468,500
equity multiplier=1.00
15%=X*1.6616862326574200*1.00
15%=X*1.6616862326574200
X=15%/1.6616862326574200
X=9.0%
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Carter and Isabella run a carwash business. They split the revenue 50/50. They are deciding on if they should join forces with Carla's carwash. If they join with Carla, the combined carwash will make $2400 more per month, but they'll have to split revenue equally (33.3/33.3/33.3). On an average month, Carter and Isabella's carwash makes $6000. How much more or less would Carter or Isabella individually make if they merged with Carla's carwash?
we can see that when they join with Carla, Carter and Isabella will get $200 less (individually).
How much more or less would Carter or Isabella individually make if they merged with Carla's carwash?
When Carter and Isabella work together, they have a revenue of $6000, which is split in 50/50, so each one gets:
$6000/2 = $3000
Carter wins $3000 and Isabella wins $3000.
If they join with Carla, the revenue increases by $2400, so now the total revenue is:
$6000 + $2400 = $8400
And now they split it between 3, so each one gets:
$8400/3 = $2800
The difference of Carter's (Or Isabella's) part is:
$3000 - $2800 = $200
Then we can see that when they join with Carla, Carter and Isabella will get $200 less (individually).
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8⁄9 ÷ 1⁄3 what is the answer please
Answer:
8/3
Step-by-step explanation:
8/9
Value of x after the statement "if P(x) then x 1" is executed where P(x): > 1
and x = 0 when the statement is reached:
The values of x after the statement are:
b) If x=1, then the statement P(1)="1>1" is false, and thus the value of x is equal to 1 after the statement "P(x) then x := 1".c) If x=2, then the statement P(2)="2>1" is true, and thus the value of x is equal to 1 after the statement "if P(x) then x := 1".What is Discrete Mathematics?This refers to the field of mathematics that studies mathematical structures and views them as discrete, rather than continuous and they include integers, statements, etc.
Therefore, if we consider the statement "if P(x) then x:=1" which is equivalent to "if x>1 then x:=1", then we can see that If x=1, then the statement P(1)="1>1" is false
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Can u guys please give me the correct answer
Angles on straight line = 180
180 - 115 = 65
So, angle above 4 in the top corner is 65.
Co-interior angles add up to 180.
(180-65=115)
Thus, the value of 4 is 115 degrees.
Hope this helps!
A rectangular waterbed is 8 ft long, 7 ft wide, and 1.5 ft tall. How many gallons of water are needed to fill the waterbed? Assume 1 gallon is 0.13 cu ft. Round to the nearest whole gallon.
646 gallons of water are needed to fill the waterbed
How to determine the gallons of water?The dimensions are given as:
8 ft long, 7 ft wide, and 1.5 ft tall
The volume is calculated as:
Volume = Length * Width * Height
So, we have
V = 8 * 7 * 1.5 cubic feet
Evaluate
V = 84 cubic feet
1 gallon = 0.13 cubic feet
So, we have:
V = 84/0.13 gallon
Evaluate
V = 646 gallons
Hence, 646 gallons of water are needed to fill the waterbed
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Find the area between the two functions
The area between the two functions is 0
How to determine the area?The functions are given as:
f₁(x)= 1
f₂(x) = |x - 2|
x ∈ [0, 4]
The area between the functions is
A = ∫[f₂(x) - f₁(x) ] dx
The above integral becomes
A = ∫|x - 2| - 1 dx (0 to 4)
When the above is integrated, we have:
A = [(|x - 2|(x - 2))/2 - x] (0 to 4)
Expand the above integral
A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]
This gives
A = [2 - 4] - [-2- 0]
Evaluate the expression
A = 0
Hence, the area between the two functions is 0
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Oliver and Layla each built a rectangular prism with centimeter cubes. Both prisms have a volume of 24 cubic centimeters but they do not look the same. Give possible dimensions for each prism.
Possible Dimensions of one prism are; 2cm, 3 cm and 4cm
Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm
How to find the dimensions of a rectangular Prism?We are told that volume of both rectangular prisms is; V = 24 cm³
Now, formula for Volume of a rectangular prism is;
V = lwh
where;
l is length
w is width
h is height
Thus, to solve this, we have to look for multiples of 24 which are;
1, 2, 3, 4, 6, 8, 12, 24.
Now, we must pick 3 numbers from the above in which their products will be equal to 24.
Thus;
Possible Dimensions of one prism are; 2cm, 3 cm and 4cm
Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm
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use long division to convert 3/10 into decimals.
Answer:
3/10 as a decimal is expressed as 0.3.