Answer: First step is to determine the total cost
Total cost at 2,800
=$0.80 ×2,800
=$2,240
Total cost at 5,600
=$0.75 × 5,600
=$4,200
Second step is to determine the Variable cost per unit
Variable cost per unit=$4,200-$2,240
Variable cost per unit=$1,960
Variable cost per unit=5,600-2,800
Variable cost per unit=2,800
Variable cost per unit=$1,960/2,800
Variable cost per unit=$0.70
Now let determine the average cost
Average cost=$0.70×4,800+[($0.80×2800)-(2,800 ×$0.70)]
Average cost=$3,360+($2,240-$1,960)
Average cost=$3,360+$280
Average cost=$3,640
Average cost =$3,640/4,800
Average cost=$0.76
In conclusion What will be the average cost to bake 4,800 is $0.76
Step-by-step explanation:
PLS HELP ASAP
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph tell you about the value of k in this function?
112 is the product of 7 and Raj’s score.
Answer: 16
Step-by-step explanation: 112 is equal to the product of 7 and Raj's score. Therefore, Raj's score score is 112 divided by 7 which is 16.
Answer:
Raj´s score = 16
Step-by-step explanation:
112 = 7R
R = Raj´s score
112/7 = R
R = 16
Cost of a microscope: $149.95
Markup: 30%
Answer:
194.935
Step-by-step explanation:
149.95×30%=44.985
149.95+44.985=194.935 new price
How is the graph of g(x)=-(3x)³ related to the graph of
f(x)=x³?
A. The graph of g(x) is vertical compression of
the graph f(x) by a factor of 3 and a
reflection across the x-axis.
B. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of 3 and a
reflection across the y-axis.
1
C. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of and a
reflection across the x-axis.
3
the transformation from f(x) to g(x) is (c) the graph of g(x) is horizontal compression of the graph f(x) by a factor of 1/3 and a reflection across the x-axis.
How to compare both functions?The functions are given as:
f(x) =x^3
g(x) = -(3x)^3
The minus sign in g(x) = -(3x)^3 implies that the function f(x) is reflected across the x-axis
The 3 in g(x) = -(3x)^3 implies that the function f(x) is stretched horizontally by 1/3
Hence, the transformation from f(x) to g(x) is (c)
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Cómo puedo hallar la longitud de un lado de un triángulo usando el teorema del ángulo de 30°
En un triángulo rectángulo con ángulos de 30° -60° -90°, para encontrar la longitud de un lado, debes encontrar la longitud de la hipotenusa.
¿Cómo encontrar la longitud de la hipotenusa?Es necesario encontrar la longitud del cateto opuesto al ángulo de 30°, también conocido como cateto menor, y luego multiplicarlo por 2, descubriendo así el cateto de la hipotenusa, utilizando la fórmula del teorema de Pitágoras:
a²+b²=c²Por lo tanto, puedes usar el teorema de Pitágoras para calcular la longitud del lado que falta en un triángulo rectángulo.
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simplify: 5^2 x 5^4
A, 5^8
B. 5 x 8
C. 5^2
D. 5^6
Answer:
D. 5^6
Step-by-step explanation:
[tex]5^2*5^4\\5^2^+^4\\5^6[/tex]
Renee says that y = mx can be rewritten in the form y = mx + b. Is she right? Explain why or why not
A product is made up of three parts A B and C .The manufacturing in process is such that the probability of A being defective is 0.2..The probability of B being defective is 0.1 and probability of C being defective is 0.3.Find the probability that the assembled will have
a) No defective
b) at least two defective parts.
The probability that there'll be no defective will be 0.504.
How to calculate the probability?Probability of A being defective = 0.2.
Probability of B being defective = 0.1
Probability of C being defective = 0.3.
The probability that there will be no defective will be:
= (1 - 0.2) × (1 - 0.1) × (1 - 0.3)
= 0.8 × 0.9 × 0.7
= 0.504
The probability that there'll be no defect is 0.504.
The probability that there'll be at least two defective part will be:
= (0.2 × 0.1) + (0.2 × 0.3) + (0.1 × 0.3)
= 0.02 + 0.06 + 0.03
= 0.11
The probability that there'll be at least two defects is 0.11.
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Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)
cos =
24
25
,
tan < 0
The exact values of the remaining trigonometric functions are sin(x) = -7/25 and tan(x)= -7/24
How to solve the trigonometric functions?The function is given as:
cos(x) = 24/25, tan(x) < 0
The sine function is calculated using:
sin^2(x) + cos^2(x) = 1
So, we have:
sin^2(x) + (24/25)^2 = 1
Collect like terms
sin^2(x) = -(24/25)^2 + 1
Evaluate the squares
sin^2(x) = -576/625 + 1
Take the LCM
sin^2(x) = (625-576)/625
Evaluate
sin^2(x) = 49/625
Take the square roots
sin(x) = -7/25 --- sin(x) is negative because tan(x) < 0
The tangent function is calculated using:
tan(x) = sin(x)/cos(x)
This gives
tan(x) = (-7/25) / (24/25)
Evaluate
tan(x)= -7/24
Hence, the exact values of the remaining trigonometric functions are sin(x) = -7/25 and tan(x)= -7/24
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Complete question
Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)
cos(x) = 24/25, tan(x)< 0
sin(x) =
tan(x) =
Customers can pick their own pumpkins at The Great Pumpkin Patch. They
pay $4 to enter the patch and $3 per pound for the pumpkins they pick. Write
an equation to model the total cost, y, for x pounds of pumpkins.
A. y = 3x+4
B. y = 3(x+4)
C. y = x(4+3)
D. y = 4x + 3
Answer:
the answer is A
Step-by-step explanation:
the starting point which is the addition part is 4 dollars for entrance and 3 stands for the price per pound and x is the amount of pounds
Match the expression to its simplified form.
The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31- 35, and 36-40. Frequency 15 94°F 10 5 Grades on 40-Question Quizo 8 1-5 8 6-10 13 11-15 9 16-20 3 21-25 Grade on Quiz 4 26-30 Select the true statement for this histogram.
The student that earned a score of 21 or higher on the quiz has a cumulative frequency of 7 and the relative cumulative frequency of 14%
What is a Histogram?
This refers to the pictorial representation of data that is used to show the distribution of numerical data.
From the given image, the histogram shows the quiz scores of students and the frequencies, and the relative cumulative frequency was gotten by dividing the frequency of each interval by the total number of observations
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Can I please get a full answer with steps? Thanks a bunch!
The region in the w-plane into which a rectangular region bounded by the lines x=0, y=0, x=1, y=2 in the z-plane is mapped under the transformation w = (1- i)z + (2 - i) is mathematically given as
(u, v)=(2,1)
(v, v)=(3,0)
(u, u)=(3,2)
(v, u)=(2,2)
What is The region in the w-plane into which a rectangular region bounded by the lines x=0, y=0, x=1, y=2..?Generally, the equation for is mathematically given as
[tex]&\quad(1-i) 2+(2+i) \\\\&(1-i)(x+y i)+2+i \\\\\&x-x i+y i-1 y+2+i \\\\\&(-x+y+1) i+(x+2) \\\\\[/tex]
Given - that
[tex]&x=0 \\\\&y=0 \\\\\&x=1 \\\\\&y=2 \\\\\&(0,0): v=(-0+0+1): u(0+1) \Rightarrow(u, v)=(2,1) \\\\\&(1,0): v=(-1+0+1): u(1+2) \Rightarrow(v, v)=(3,0) \\\\&(1,2): v=(-1+2+1): u(1+2) \Rightarrow C u, u)=(3,2) \\\\&(0,2): v=(-0+2+1): u(0+2) \Rightarrow(v, u)=(2,2)\\\[/tex]
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Please help All of these rectangles have an area of 18 square inches. Each square represents 1 square inch.
Which rectangles do not have a perimeter of 18 inches?
Choose each correct answer.
Answer:3
Step-by-step explanation:because listen 3 is 2 for the side then 9 for the top so 9+9 equals 18 right so then 2+2 equals 4 18+4 does not equal 18
WHATS THE CORRECT ANSWER ANSWER ASAP
Answer:
Step-by-step explanation:
Comment
A: Gravity always pulls downward towards (to keep it simple) the earth's center. The answer is not A.
C: If you are interested in upward motion, Friction is not going to be the answer. What will the rocket rub against to make it go up?
D: Centripetal Force has to do with circular motion, The rocket generally is not thought of as going in a circle. Not D.
Answer: B. A chemical reaction can be directed so the energy will force an upward motion.
Write this in logarithm form. √x = y
Answer:
[tex] \log_x y = \dfrac{1}{2} [/tex]
Step-by-step explanation:
[tex] \sqrt{x} = y [/tex]
[tex] x^\frac{1}{2} = y [/tex]
[tex] \log_x y = \dfrac{1}{2} [/tex]
How effective is it to go to your manager to request others take on some activities?
The effectiveness depends on your score of working.
How effective is it to go to your manager to request others take on some activities?
Certainty implies, indeed, that favorable things will happen and uncertainty implies favorable things won't happen.
If we go to our manager, requesting that others should take some activities. It certainly depends upon the our score in the office. if we are hard working than in situations manager could approve our request and if our score is low or we are not a hard worker than result may no be in our favor.
Thus, the effectiveness depends on your score of working.
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What is the simplified base of the function f(x)=1/4([tex]\sqrt[3]{108} ^{x\\}[/tex])
The simplified function of [tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex] is [tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]
How to simplify the base function?The function is given as:
[tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex]
Expand 108
[tex]f(x) = \frac 14(\sqrt[3]{27 * 4})^x[/tex]
Take the cube root of 27
[tex]f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x[/tex]
Evaluate the product
[tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]
Hence, the simplified function of [tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex] is [tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]
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Answer This Mathematics (Hard Mode)
522 X 854 = ____
Answer:
445788
Step-by-step explanation:
OMG too difficult man!!
Thanks to my calculator to solve this hard question
126. If the marked price of an article is 40% above the cost price. By how much percent cost price is less than the marked price?
The percent that the cost price is less than the marked price will be 40%.
How to illustrate the information?Let the cost price be 100.
Since the marked price of an article is 40% above the cost price, the marked price is 140.
The percent that the cost price is less than the marked price will be:
= 140 - 100
= 40%
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find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)
Answer: 14.1 sq meters
Step-by-step explanation:
this question has already been answered
Suppose every interior angle in a regular polygon is approximately 128.57∘. What kind of polygon is this?
The polygon with 128.57° as every interior angle is a septagon.
How to determine the polygonIf the interior angle = 128. 57°
Using ( n-2) × 180 = sum of interior angles
Let's say n= 7
We have that,
(7-2) × 180 = 900
Let's find out the polygon
= 7 × 128.57
= 900
A polygon with seven sides is a septagon
Thus, the polygon with 128.57° as every interior angle is a septagon.
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Three friends start a business and decide to split the profits equally. Susan invests $6,000, John invests $4,000, and Pria invests $7,000. If the profits are $12,000, how much of the profits would Pria receive if the profits were divided proportional to how much each friend invested
Susan investment = $6000
John investement = $4000
Pria investment = $12000
investment proportion of Susan, John and Pria = 6:4:12= 3:2:6
Hence, Pria share in profit = (6/11)*$12000
= $ 6,545.454
Answer:
Pria receives $4941.18 of the profits.
Step-by-step explanation:
• Susan invested $6,000,
• John invested $4000,
• Pria invested $7000.
The ratio of their investments Susan : John : Pria is 6000 : 4000 : 7000 ,
⇒ 6 : 4 : 7
This means that Pria should receive 7/17 th of the total profits.
∴ Pria receives = [tex]\frac{7}{17}[/tex] × $12,000
= $4941.18
Which of the following is a metric unit for distance?
A. centimeters
B. miles
C. feet
D. kilograms
Answer:
A centimeters.
Step-by-step explanation:
2x-y+z=8
X+2y+2z-6=0
X-2y-z=1
Solve by linear equation
Answer:
68
Step-by-step explanation:
I did it and it was right
what is 4(x + 1) = 8.
Answer:
ight so distribute the 4 so you get 4x+4 then subtract 4 from 8 which leaves you with 4x=4 divide by 4 and you get 1
Step-by-step explanation:
[tex]\bf{4(x+1)=8}[/tex]
Divide both sides by 4.
[tex]\bf{x+1=\dfrac{8}{4} }[/tex]
Divide 8 by 4 to get 2.
[tex]\bf{x+1=2}[/tex]
Subtract 1 from both sides.
[tex]\bf{x=2-1 }[/tex]
Subtract 1 from 2 to get 1.
[tex]\bf{x=1 \ \ \to \ \ \ Answer}[/tex]
VerificationLet x=1.
[tex]\bf{4\times(1+1)=8 \ \ \to \ \ \ [Add] }[/tex]
[tex]\bf{4\times2=8 \ \ \to \ \ \ [Multiply]}[/tex]
[tex]\bf{8=8 \ \ \to \ \ \ [Equality \ holds] }[/tex]
Checked ✅
{ Pisces04 }
You have 660 grams AP apples. What is your EP weight if the yield is 75 percent?
Micaela and Chelsea each improved their yards by planting rose bushes and ivy. They bought their supplies
from the same store. Micaela spent $58 on 5 rose bushes, r, and 3 pots of ivy, i. Chelsea spent $100 on 5
rose bushes and 10 pots of ivy. Write equations to represent the scenario. Then, find the cost of one rose
bush and the cost of one pot of ivy.
Answer: A rose bush, r, cost $8; one pot of ivy, i, cost $6;
Step-by-step explanation:
[tex]\left \{ {{5r + 3i =58} \atop {5r+10i=100}} \right.[/tex]
We combine them by minus, we get:
5r + 3i = 58
- 5r + 10i = 100
- 7i = - 42
i = 6
We plug in i = 6 to the first equation, we get:
5r + 3(6) = 58
5r + 18 = 58
5r = 40
r = 8
The cost of one rose bush is $8 and the cost of one pot of ivy is $6.
How to calculate the equationHere are the equations to represent the scenario:
Micaela: 5r + 3i = 58
Chelsea: 5r + 10i = 100
Let's solve the system of equations to find the cost of one rose bush (r) and one pot of ivy (i).
Subtracting the first equation from the second equation, we get:
7i = 42
Dividing both sides by 7 we get:
i = 6
The rose bushes will be:
5r + 3i = 58
5r + 18 = 58
5r = 58 - 18
5r = 40.
r = 8
This means that the cost of one rose bush is $8 and the cost of one pot of ivy is $6.
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Find the perimeter for 93 - 96
Find the surface area and volume for 97-100
93. Perimeter = 34cm
94. Perimeter = 72. 27mm
95. Perimeter = 22in
96. Perimeter = 56m
97. Volume = 512 in³
98. Volume = 72 in³
99. Volume = 154 cm³
100. Volume = 3, 309. 42 mm³
How to determine the perimeter93. Note that the diagram is a trapezium
Perimeter = a + b + c + d
a = 15 , b = 5 , c = 5 , d = 9
Perimeter = 15 + 5 + 5 + 9 = 34cm
94. Note that the diagram is a circle
Perimeter of a circle = 2 πr
Given diameter = 23mm
Radius = diameter/2
Radius = 23/ 2 = 11. 5mm
Perimeter = 2 × 3. 142 × 11. 5 = 72. 27 mm
95. Note that the shape is a rectangle
Perimeter of a rectangle = 2 (length + width)
Length = 5 in
width = 6 in
Perimeter = 2( 5 + 6)
Perimeter = 2 × 11 = 22 in
96. The shape is a rectangle
Perimeter of a rectangle = 2 (length + width)
Length = 10m , width = 19m
Perimeter = 2( 10+ 19) = 2 × 29 = 58m
97. Volume of a cube = side by power of 3
Volume = 8³
Volume = 512 cm³
98. Volume of a Cuboid = length × breadth × height
Volume = 3 × 2 × 12
Volume = 72 in³
99. Volume of a sphere = πr² [tex]\frac{h}{3}[/tex]
radius = 7cm , height = 3cm
Volume = [tex]\frac{22}{7}[/tex] × [tex]7^{2}[/tex] ×[tex]\frac{3}{3}[/tex]
Volume = [tex]22[/tex] × [tex]7[/tex] × [tex]1[/tex]
Volume = 154 cm³
100. Volume of a cone = πr²h
radius = 9mm, height = 13mm
Volume = [tex]\frac{22}{7}[/tex] × [tex]9[/tex] × 9 × 13
Volume = [tex]\frac{23166}{7}[/tex]
Volume = 3, 309. 42 mm³
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median mark of 1,2,3,4,5,6,7,8
Answer:
4.5
Step-by-step explanation:
1+2+3+4+5+6+7+8= 36
36/8= 4.5