Answer:
7.000002427×10¹⁶
Answer:
723555545997
Step-by-step explanation:
I hope this helps, i had to use a calculator because that was a long math equation question, I mean, who else can't do that?
And plz rate it 5 starts, give brainilest, and thank me
The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
you need 18 lb of peeled and cored apples to make applesauce.apples have a yield percentage of 78%, how many pounds of whole apples are needed
You would need approximately 23.077 pounds of whole apples to make 18 pounds of peeled and cored apples with a 78% yield percentage.
Explanation:
To find out how many pounds of whole apples are needed to make 18 lbs of peeled and cored apples with a yield percentage of 78%, we can use the following formula:
Pounds of whole apples needed = (Pounds of peeled and cored apples needed) / Yield percentage
Plugging in the values we have:
Pounds of whole apples needed = 18 lb / 0.78Pounds of whole apples needed = 23.077 lb (rounded to three decimal places)
Therefore, you would need approximately 23.077 pounds of whole apples to make 18 pounds of peeled and cored apples with a 78% yield percentage.
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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ΔABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Answer the questions to find the coordinates of A after the transformations.1. Give the rule for translating a point 4 units left and 8 units up.2. After the translation, where is A located?3. Give the rule for reflecting a point over the y-axis.4. What are the coordinates of A after the reflection?5. After the two transformations, has A returned to its original location?
PART 1
To traslate a point 4 units to the left, we substract 4 from the x-coordinate. Similarly, to traslate it 8 units up we add 8 to the y-coordinate.
This way, the rule for translating a point 4 units left and 8 units up is:
\((x,y)\rightarrow(x-4,y+8)\)PART 2
Let's apply the traslation to each of the vertex:
\(\begin{gathered} A(7,5)\rightarrow(7-4,5+8)\rightarrow A^{\prime}(3,13) \\ B(2,9)\rightarrow(2-4,9+5)\rightarrow B^{\prime}(-2,14) \\ C(1,3)\rightarrow(1-4,3+8)\rightarrow C^{\prime}(-3,11) \end{gathered}\)This way, we can conclude that the new set of vertex is:
\(\begin{gathered} A^{\prime}(3,13) \\ B^{\prime}(-2,14) \\ C^{\prime}(-3,11) \end{gathered}\)PART 3
By definiton, the rule to reflect a point over the y-axis is:
\((x,y)\rightarrow(-x,y)\)PART 4
We apply this transformation to each of the new vertex:
\(\begin{gathered} A^{\prime}(3,13)\rightarrow A´´(-3,13) \\ B^{\prime}(-2,14)\rightarrow B´´(2,14) \\ C^{\prime}(-3,11)\rightarrow C´´(3,11) \end{gathered}\)This way, we can conclude that the new set of vertex is:
\(\begin{gathered} A´´(-3,13) \\ B´´(2,14) \\ C´´(3,11) \end{gathered}\)PART 5
We can conclude that A HAS NOT returned to its original location.
8n = 120 − 8(5 + 2)
can someone help me with this, im too lazy lol
Answer:
Step-by-step explanation: First, do the multiplication inside the parenthesizes so 8x5 is 40, and 40+2 is 42. 120-42=78
8n=78
n=9.75
1)Apply the distributive property to solve the following.
(2 +19) x4
Answer:
Answer:
4x19+4x2 or 4x21
Step-by-step explanation:
If you multiply 4x19, you get 76. And if you multiply 4x2 you get 8. 76+8= 84
If you multiply 4x21 you get 84 also. Both of these answers are distributive property. (all it is, is different ways of solving the problem.)
Hope this helps! :)
Complete the square to re-write the quadratic function in vertex form:
y= x2 - 5x +9
Answer: y =
Submit Answer
PLEASE HELP QUICK!! WILL GIVE BRAINLIEST ANSWER!!!!!!!
Answer:
X = 32
Step-by-step explanation:
Angle BEC = 43 degrees
You find X by setting up the equation 137 = 3x+41
Solve for x
You find angle BEC by subtracting 137 from 180, finding the acute angle that brings the obtuse angle up to 180 degrees (a flat line)
Answer:
x = 32 degree and angle BEC = 43 degree
Step-by-step explanation:
3x + 41 = 137 degree (being vertically opposite angles)
3x = 137 - 41
x = 96/3
x = 32
angle BEC be y
137 + y =180 degree (being linear pair)
y = 180 - 137
y = 43 degree
therefore angle BEC = 43 degree
3 3/4 wide 2 1/3 high what is the area in the rectangle
Answer:
8 3/4
Step-by-step explanation:
First convert mixed number into improper fraction
3 3/4= multiply whole number by denominator, then add the numerator 3*4+3= 15/4
2 1/3= 2*3+1= 7/3
15/4*7/3= 8 3/4
simplify the expression -1/2(-5/6 +1/3) thank you :)
Answer:
1/4
Step-by-step explanation:
-1/2(-5/6 +1/3)
PEMDAS
parentheses first
(-5/6 +1/3)
Get a common denominator
-5/6 + 1/3 *2/2
-5/6 + 2/6 = -3/6 = -1/2
Substitute this back in
-1/2 ( -1/2)
Multiply
1/4
The volume of a sphere is 4500cm. What is the surface area of the sphere to the nearest whole number?
The surface area of the sphere, to the nearest whole number, is 1318 cm².
How to determine the surface area of a sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
The surface area of a sphere is expressed as:
SA = 4πr²
Where r is the radius of the sphere and π is the mathematical constant pi.
Given that the volume V is 4500 cm³.
First, we solve for the radius:
Volume = (4/3)πr³
4500 = (4/3)πr³
4500 × 3 = 4πr³
13500 = 4πr³
r³ = 13500/4π
r = ∛( 13500/4π )
Now that we have the radius, we can calculate the surface area of the sphere using the formula:
SA = 4πr²
Substituting the radius we found:
SA = 4 × π × ∛( 13500/4π )²
SA = 1318 cm²
Therefore, the surface area is approximately 1318 cm².
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define the taype os sequence below_2,0,2,4,6
In order to fin which type of sequence it is we evaluate the first two terms:
-2 and 0
We know that
-2 + 2 = 0
The following numbers can be found adding a 2:
-2 + 2 = 0
0 + 2 = 2
2 + 2 = 4
4 + 2 = 6
We know that
A sequence in which every term is created by adding a fixed number (2 in this case) is an arithmetic sequence
Answer: this sequence is an artihmetic sequenceuniversity graduates have a mean job search time of 38.1 weeks, with a standard deviation of 10.1 weeks. the distribution of job search times is not assumed to be symmetric. between what two search times does chebyshev's theorem guarantee that we will find at least 89% of the graduates? round your answers to the nearest tenth. enter the bounds in ascending order. provide your answer below: between ____ weeks and ___ weeks
Between 7.7 weeks and 68.5 weeks search times does chebyshev's theorem guarantee that we will find at least 89% of the graduates.
Chebyshev's theorem states that for any distribution, at least 1 - 1/k^2 of the data will fall within k standard deviations from the mean.
To find the bounds for at least 89% of the graduates, we need to find the value of k that satisfies this condition.
Using Chebyshev's theorem, we have:
1 - 1/k^2 = 0.89
Solving for k, we get:
k = sqrt(1/0.11) ≈ 3.3
Therefore, at least 89% of the graduates will have job search times between:
38.1 - 3.3 x 10.1 ≈ 7.7 weeks
38.1 + 3.3 x 10.1 ≈ 68.5 weeks
Rounding to the nearest tenth, we get:
between 7.7 weeks and 68.5 weeks.
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AB and CD are tangents of circle O find each of the following
The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.
Tangent to a circle theoremThe tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency
If OB = 6 and AB = 8, then;
OA = √(8² + 6²) {by Pythagoras rule}
OA = √100
OA = 10
EA = OA - OE(radius)
EA = 10 - 6 = 4
If DE = 16 and EA = 9, then;
OA = (diameter/2) + EA
OA = 8 + 9 = 17
AB = √(17² - 8²)
AB = √225
AB = 15
OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°
OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°
If m∠DOB = 120° then;
120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}
m∠EAB = 120° - 90°
m∠EAB = 30°
In conclusion, for the lines tangent to the circle, we have that;
EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°
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Question 10 What is the solution of the inequality
We are given the following inequality:
\(-6x-17\ge8x+25\)To solve for "x" we will first subtract 8x to both sides:
\(\begin{gathered} -6x-8x-17\ge8x-8x+25 \\ -14x-17\ge25 \end{gathered}\)Now we will add 17 to both sides:
\(\begin{gathered} -14x-17+17\ge25+17 \\ -14x\ge42 \end{gathered}\)Dividing both sides by -14, and since we are dividing by a negative number we will invert the direction of the inequality sign:
\(x\le\frac{42}{-14}\)Solving the operation:
\(x\le-3\)Thererfore, the solution is x <= -3
the circumference of the circle is 23 inches what is the radius of the circle?
Answer:
The radius is 3.66 if you need to round it would be 3.70.
Step-by-step explanation:
r= c/2\(\pi\)
23/2pi= 3.66
The radius of the circle for the circumference of the circle is 23 inches is,
⇒ r = 3.66 inches
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The circumference of the circle is 23 inches.
Now, We know that;
The circumference of the circle = 2πr
Where, r is radius of the circle.
Hence, We get;
⇒ 2πr = 23
⇒ πr = 23/2
⇒ 3.14 × r = 11.5
⇒ r = 11.5 / 3.14
⇒ r = 3.66 inches
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in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas
For every 1 orange in the fruit bowl there are three bananas.
According to the question,
We have the following information:
In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.
Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:
4 oranges = 12 bananas
Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.
So, we have the following expression:
1 orange = 12/4 bananas
1 orange = 3 bananas
Hence, for every 1 orange in the fruit bowl there are three bananas.
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Factorise 9a3 b + ba2
Answer:
\(a(9 {a}^{2} b + ba)\)
hope it's helpful ❤❤❤❤❤❤❤
THANK YOU.
A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.
Answer:
Step-by-step explanation:
y = bushels of carrots picked
6 = bushels of carrots per hour (rate of change)
x = time worked at picking
2 = initial number of bushels picked before time starts.
My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".
a number has the same digits in its hundreds place and it’s hundrthes place. how many times greater is the value of the digit in the hundreds place than the value of the digit in the hundreds place
In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.
How can the value of the digit can be calculated?The question can be interpreted that the particular number has the same digit which is seen in hundreds place hence hundredths place.
we can then represent the digit as '1'.
The value of number's hundreds place can be represented as 100
we can as well represent the number's hundredths place as 0.01
the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000
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missing options:
A. 100,00
B. 100
C. 1,000
D. 10,000
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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3. Complete the statement: When a whole number greater than 1 has a
negative integer exponent, the value of the expression is greater than what
but less than what
When a whole number greater than 1 has a negative integer exponent, the value of the expression is greater than zero but less than one.
How to deal with a negative exponent?The standard format of an exponential expression is given as follows:
\(a^b\)
In which:
a is the base.b is the exponent.When we have a negative exponent, the equivalent expression with a positive exponent is obtained inverting the base.
If we have a positive base greater than one to a negative exponent, we invert the base, meaning that it is less than one with a positive exponent, hence the value of the expression is greater than zero but less than one.
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For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Simply qqqqqqqqqqqqqqqqqqqqqqqqq hurry plsss
Answer:
6.) =37/36 mixed form is 1 1/36 decimal form 1.027 repeating the 7
6.) = 11/35 decimal form 0.3142857repeating
9.) = 23/60 decimal form 0.383 repeating 3
11.) = 11/56 decimal form 0.19642857.....
12.) = 13/45 decimal form 0.28 repeating 8
11.) = 5/6 decimal form 0.83 repeating 3
12.) = 17/48 decimal form 0.35416 repeating 6
Answer:
number 1 is 13/18 number 2 is 19/28 number 3 is 1 5/24 number 4 is 1/2 number 5 is 1 7/40 number 6 is 1 1/36 number 1 on the 2 page is 1 7/12
number 2 is 1 1/8 number 3 is 32/63 number 4 is 1 3/40 number 5 is 31/60 number 6 is 11/35 number 1 is 7/8 number 9 is 23/60 number 11 is 11/56 numbers 11 and 12 are 5/6 and 17/48 numbers 4 5 and 6 are 2/3 43/60 numbers 4 5 6 are 1 1/24 19/56 17/45
Step-by-step explanation:
An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row
The number of seats on the 24th row is 3220.
The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:
P x [r x (n - 1)]
Where:
P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 2470 x [2x (24 - 1)]
70 x (2 x 23)
= 70 x 46
= 3220
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A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
Help I’ll mark as the brainliest
Step-by-step explanation:
the value of 'X' In the above given question is 4.
12 years ago, Catherine deposited $200 in a savings account that pays 7.25% simple
interest What is the balance in Catherinesco
Answer:
$374
Step-by-step explanation:
First you need to find how much money does the back pay per year
$200*7.25
=1450
1450/100
=14.5
Secondly you need to find how much does Catherine have in 12 years
14.5*12 years
=$174
Lastly add the money she already had 12 years ago to how much the bank payed in that 12 years
$200+$174
=$374
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
In a factory, 4 out of every 200 jars are broken. If a factory produces 1,600 jars, how many jars are likely to be broken?
Answer:
32
Step-by-step explanation: