The total number of units produced for the company today is 37,000. This number is the sum of the number of units produced for each order, which were 7,000 for order B and 30,000 for order C.
What is number?Number is a concept that is used to represent a quantity or amount. It is used to identify and quantify items within a set or group. Numbers are usually represented in the form of symbols such as digits, Arabic numerals or Roman numerals.
The average cost per unit for all production today can be calculated by dividing the total cost of production today by the total number of units produced. To find the total cost of production, one would need to know the cost of each order, the cost of labor, and any other overhead costs associated with production. For example, if order B cost $50,000 and order C cost $200,000, and the labor and overhead costs were $25,000, then the total cost of production today would be $275,000. Dividing this number by the total number of units produced (37,000) would give an average cost per unit of $7.43.
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Add.
(5x²2x) +(6x-4)
OA. 30x³-32x² + 8x
OB. 5x² + 4x-4
O C. 11x² - 6x
OD. 5x²-8x+4
Answer:
OC (Answer C)
Answer C)
Step-by-step explanation
Combine like terms
\(5x^2-2x+6x-4\\5x^2+4x-4\\Solution=\\5x^2+4x-4\\\)
1. Takis Machine Shop paid a base rate for the state's workers' compensation insurance of $9.40 per $100 paid in wages. Takis has a monthly payroll of $53,896.84. After reevaluating the frequency and severity of accidents at machine shops, the state increased the base rate to $10.40 per $100 paid in wages. Assuming the monthly payroll stays the same, how much more will Takis pay each year for state workers' compensation insurance in dollars. Round to the nearest hundredth of a percent.
2. The Madison County tax assessor determined the market value of a home to be $590,000. The rate of assessment in Madison County is 40% of market value. The tax rate is 42.73 mills. Calculate the real estate tax in dollars. Round to the nearest hundredth of a percent.
3. Vanesa Vasquez contributes $2,500 per year to her Roth IRA, an ordinary annuity, starting at age 35. If she earns 7.4% annual interest compounded annually, what is the fair market value of her Roth IRA at age 65? How much interest will she have earned in dollars? Round to the nearest hundredth of a percent.
4. Marty and Roslyn Seymour purchase a GNMA Mortgage issue bond selling at a premium of 103.7% of its $10,000 face value. The bonds are selling at a premium because they have an annual yield of 8.75%. Find the interest rate as a percent? Round to the nearest hundredth of a percent.
5. Ricardo Ramirez took out a single-payment loan for $2,500 at 7.8% ordinary interest to pay his federal income tax bill. If the maturity value of the loan was $2,548.75, in how many days would Ricardo have to pay back the loan?
Answer: do you need me to answer all or anthor example.
Step-by-step explanation:
I will answer
A school photographer just bought a new memory card for her camera. She took 2 pictures
to check that everything is working properly. Now that it's picture day, she expects to take 5
pictures of each student.
Write an equation that shows the relationship between the number of students photographed,
x, and the total number of pictures on the memory card, y.
00
Answer:
5x+2
Step-by-step explanation:
the pattern is
y is 5 times x plus 2
y=5x+2
The solution is, y=5x+2, an equation that shows the relationship between the number of students photographed, x, and the total number of pictures on the memory card, y.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
She took 2 pictures to check that everything is working properly.
Now that it's picture day, she expects to take 5 pictures of each student.
now, we get,
the pattern is
y is 5 times x plus 2
y=5x+2
Hence, The solution is, y=5x+2, an equation that shows the relationship between the number of students photographed, x, and the total number of pictures on the memory card, y.
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Toby plans to keep the tadpole he caught at the local fishing pond in a bowl that is shaped like half a basketball. The ball has a diameter of 9 inches. Will the bowl hold the 200 cubic inches of water needed for the tadpole to survive?
The coliseum has a volume of roughly 152.25π cubic inches. It is safe to say that the bowl may not be able to hold the 2022 cubic inches of water.
How to Solve the Problem?To determine if the coliseum will hold 200 boxy elevation of water, we need to first calculate its volume.
The coliseum is shaped like half a basketball, which means it's a semicircle. The formula for the volume of a semicircle is
V = (2/3) πr3
where V is the volume and r is the compass.
The periphery of the basketball is 9 elevation, so the compass is half of that, or4.5 elevation. We can now substitute this value into the formula
V = (2/3) π(4.5) 3
V = (2/3) π(91.125)
V = 152.25 π boxy elevation
Thus, the coliseum has a volume of roughly 152.25π cubic inches. It is safe to say that the bowl may not be able to hold the 2022 cubic inches of water.
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Answer:
The bowl will hold about 190.76 cubic inches of water, which is not enough water for the tadpole to survive.
Step-by-step explanation:
(The formula we are using is in the photo)
The first step for us to do is to turn the diameter into a radius, to do this we divide the diameter by 2, which will be 4.5 in this case
V≈ (2/3)(3.14)(4.5^3)
V≈ 190.755
Round to nearest tenths place
V≈ 190.76 cubic units of water
This is lower than 200 cubic units of water, so this is not enough to keep the tadpole alive.
(hope this is any help to anyone!!)
What is the next number
7, 11, 2, 18, -7, ?
ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Hello,
2x+1=x(2+0)
True or false???????
Answer:
false right
Step-by-step explanation:
A copy machine makes 36 copies per minute How many copies does it make in 3 minutes and 45 seconds
Step-by-step explanation:
Hope it is helpful.
Thank you.
Find the measure of each angle of the quadrilateral.
all work should be in the picture, lmk if theres anything confusing
Review the image below. Based on the image, what type of transformation is
this? Be specific and detailed and explain how/why you know. Use details, correct
vocabulary and coordinates to justify your reasoning. Your answer should be in
paragraph form using complete sentences.
Answer:
When you read a sentence, you may first look for the subject or what the sentence is about. The subject usually appears at the beginning of a sentence as a noun or a pronoun. A noun is a word that identifies a person, place, thing, or idea. A pronoun is a word that replaces a noun. Common pronouns are I, he, she, it, you, they, and we. In the following sentences, the subject is underlined once.
Step-by-step explanation:
You will often read a sentence that has more than one noun or pronoun in it. You may encounter a group of words that includes a preposition with a noun or a pronoun. Prepositions connect a noun, pronoun, or verb to another word that describes or modifies that noun, pronoun, or verb. Common prepositions include in, on, under, near, by, with, and about. A group of words that begin with a preposition is called a prepositional phrase. A prepositional phrase begins with a preposition and modifies or describes a word. It cannot act as the subject of a sentence. The following circled phrases are examples of prepositional phrases.
Answer:
this is a rotation. you can tell because point Z is (-5,2) and Z' is (2,5)
Point X was (-5,7) and X' is (7,5) and Point Y was (-2, 2) and Y' is (2,2).
by looking at the picture it was rotated 90 degrees counterclockwise
Step-by-step explanation:
The median value is
Please help
Will give brainly
Answer:
The median for this question is 45.
Step-by-step explanation:
The middle line in the box plot is the median of the set of data.
he length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch. Select all of the following that could be the actual length of the rectangle.
Answer:
\(3.65 \geq\ Length \leq 3.74\)
Step-by-step explanation:
The options are not given.
However, the question is still solvable.
Given
\(Length = 3.7\ inches\) --- Approximated
Required
What could be the actual length
The given length is approximated to nearest tenth.
So, the actual length could be any of the following range
\(3.65 \geq\ Length \leq 3.74\)
This is so because, numbers within this range approximates to 3.7
Math grade 9, can anyone solve it
Answer:
a) Acceleration = 2.4 m per seconds²
b) Distance traveled = 132 m
Step-by-step explanation:
a). Acceleration of an object is defined by the equation,
v = u + at
Here, v = Final speed
u = Initial speed
a = Acceleration
t = Duration Or time
From the graph attached,
Between t = 0 and t = 5 seconds,
v = 12 meter per second
u = 0
t = 5 seconds
B substituting values in the equation,
12 = 0 + a(5)
a = \(\frac{12}{5}\)
a = 2.4 m per seconds²
b). Equation representing distance traveled by an object,
v² = u² + 2as
Here, v = Final speed
u = Initial speed
a = Acceleration
s = Distance traveled
By substituting these values in the given equation,
1). Between t = 0 to t = 5 seconds,
(12)² = 0 + 2(2.4)s
s = \(\frac{144}{4.8}\)
s = 30 m
2). Between t = 5 to t = 12 sec
Car moved with a constant speed (Acceleration = 0)
Distance traveled = Speed × Time
= 12 × 7
= 84 m
3). Acceleration of the car between t = 12 sec to t = 15 sec
By substituting the values in the equation,
v = u - at
0 = 12 - a(3)
a = 4 meter per seconds²
Distance traveled in this duration,
v² = u² - 2as
0 = (12)² - 2(4)s
144 = 8s
s = \(\frac{144}{8}\)
s = 18 m
Therefore, total distance covered by the car = 30 + 84 + 18
= 132 meters
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
(8*P) + (0.25*m)=C
P = People
Answer:
Step-by-step explanation:
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
rewrite the equation in Ax +By = C. y -5 = 2(x - 1)
the weight of an apple is 150g, rounded to the nearest 5g. What is the lower bound of the weight of the apple?
What is the upper bound of the weight of the apple?
Answer:
1 answer
Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...
Step-by-step explanation:
Which set of steps can be used to prove the sine sum identity, sin(x + y) = sin(x)cos(y) + cos(x)sin(y)? Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y). Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = sin(y) and cos(–y) = –cos(y). Use the supplementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y). Use the supplementary relationship between sine and cosine to rewrite sin(x + y) as
Answer:
A. Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
Step-by-step explanation:
edge
The supplementary relationship between sine and cosine
to write sin(x + y) is sin x cos y + cos x sin y. and correct steps are
Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
What is trigonometric equation?Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.
What is Sin(a + b) Identity in Trigonometry?
Sin(a + b) is the trigonometry identity for compound angles. It is applied when the angle for which the value of the sine function is to be calculated is given in the form of the sum of angles. The angle (a + b) represents the compound angle.
sin (a + b) = sin a cos b + cos a sin b
According to the question
sin(x+y)
= cos (\(\frac{\pi }{2} - (x+y)\))
Now as (cos (x-y) = cosx cosy - sinx siny )
= Cos (\(\frac{\pi }{2}-x\))cos(-y) - sin(\(\frac{\pi }{2}-x\))sin(-y)
By using identity sin(–y) = –sin(y) and cos(–y) = cos(y)
= Cos (\(\frac{\pi }{2}-x\))cos(-y) - sin(\(\frac{\pi }{2}-x\))sin(-y)
= sin x cos y - cos x sin(-y)
= sin x cos y + cos x sin y
Hence, the supplementary relationship between sine and cosine
to write sin(x + y) is sin x cos y + cos x sin y. and correct steps are
Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
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Tyler paid $16 for 4 raffle tickets. a. What is the price per ticket? b. How many tickets is that per dollar? How much would all 1,000 raffle tickets cost?
what is the answer please help 3[(8-4)^5 ÷ 8 please please help me!
Solution:
3[(8 - 4)^5] ÷ 8
3[4^5] ÷ 8
3[1024] ÷ 8
3072 ÷ 8
384
Best of Luck!
Answer:
384
Step-by-step explanation:
\(3[(8-4)^5]\)÷\(8\)
Using the rules of PEMDAS I know that I have to do the math inside of the parenthesis first.
8 - 4 = 4
Our new equation is
\(3[(4)^5]\)÷\(8\)
Next we have to solve for the exponent.
\(4^5\) = \(4*4*4*4*4\) = 1,204
Our new equation looks like:
\(3[1024]\)÷\(8\)
Now we will multiply, because we follow the rules of operation.
\(3 *1024= 3072\)
Finally we will divide 3,072 by 8.
\(3072/8= 384\)
Our final answer is:
384
The Greer volleyball team played 30 they won 2 out of every 5. How many games did they win?
Answer:
12
Step-by-step explanation:
yes
What is the solution set for this inequality?
8x+2<10x - 4
Answer:
To solve the inequality 8x + 2 < 10x - 4, we can start by subtracting 8x from both sides to get 2 < 2x - 4. Then, we can add 4 to both sides to get 6 < 2x. Finally, we can divide both sides by 2 to get 3 < x. This means that the solution set for the inequality is all values of x that are greater than 3. In interval notation, the solution set is (3, ∞).
Step-by-step explanation:
Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size shape and color. Three are jelly filled 6 are lemon filled and 15 are custard filled. You randomly select one donut eat it and select another donut. find the probability of selecting two jelly filled donuts in a row
Answer:
The probability of selecting two jelly filled donuts in a row is 1.08%.
Step-by-step explanation:
Since Elizabeth brought a box of donuts to share, and there are two dozen (24) donuts in the box, all identical in size shape and color, of which 3 are jelly filled, 6 are lemon filled and 15 are custard filled, and you randomly select one donut eat it and select another donut, to find the probability of selecting two jelly filled donuts in a row the following calculation must be performed:
3/24 x 2/23 = X
0.125 x 0.086 = X
0.01086 = X
Therefore, the probability of selecting two jelly filled donuts in a row is 1.08%.
Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.
Answer:
OK so he gets 3000 a year
so 3000t is what we need. thats 3000 times the number of years.
His starting salary is 41250, so we would add that on.
K = 3000t + 41250.
Step-by-step explanation:
I got D for my answer and want to make sure that it’s correct
Answer:CC
Step-by-step explanation:
A cylinder open on both ends has a diameter of 10 decimeters(dm) and a height of 10 decimeters(dm). What is the
surface area of the cylinder?
314 dm ²
471 dm ²
628 dm ²
157dm2
the surface area of the cylinder is approximately 471 dm².
Now, For the surface area of the cylinder, we need to find the lateral area and the area of the two circular bases.
Since, The formula for the lateral area of a cylinder is
L = 2πrh,
where r is the radius of the cylinder and h is the height.
In this case, the diameter is 10 dm,
So the radius is 5 dm.
And the height is also 10 dm.
Therefore, the lateral area is:
L = 2πrh
L = 2π(5 dm)(10 dm)
L = 100π dm²
The formula for the area of a circle is
A = πr²,
where r is the radius.
In this case, the radius is 5 dm,
So the area of each base is:
A = πr²
A = π(5 dm)²
A = 25π dm²
To find the total surface area, we add the lateral area and the area of the two bases:
SA = 2(Area of Base) + Lateral Area
SA = 2(25π dm²) + 100π dm²
SA = 50π dm² + 100π dm²
SA = 150π dm²
Substitute pi as 3.14, we can calculate:
SA ≈ 150(3.14) dm²
SA ≈ 471 dm²
Therefore, the surface area of the cylinder is approximately 471 dm².
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A line that includes the points ( – 7,f) and ( – 6, – 8) has a slope of – 8. What is the value of f?
The value of \(f\) is \(0\), by using the concept of slope of a line.
The equation to find the slope of a line is given by:
\(\(\text{slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}}\)\)
Given that the slope is -8 and the points (-7, f) and (-6, -8) lie on the line, we can substitute the coordinates into the equation:
\(\(-8 = \frac{{-8 - f}}{{-6 - (-7)}}\)\)
Simplifying the equation:
\(\(-8 = \frac{{-8 - f}}{{1}}\)\)
Multiply both sides by 1:
\(\(-8 = -8 - f\)\)
Rearranging the equation:
\(\(-8 + 8 = -f\)\(0 = -f\)\)
The concept used in this problem is finding the slope of a line using two given points. The slope represents the rate of change of the line, indicating how much the line rises or falls for each unit of horizontal distance.
By substituting the coordinates of the two given points (-7, f) and (-6, -8) into the formula, we can calculate the slope.
Thus, the value of \(f\) is \(0\).
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16/20 as a percent 6th grade
Answer:
80 percent
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
it is the correct answer
Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.
How much did Shawn give the cashier to pay for his purchase?
Answer: Shawn payed the cashier $15.25
Step-by-step explanation:
Why do polling companies often survey 1060 individuals when they wish to estimate a population proportion with a margin of error 3% with 95% confidence?
Polling companies survey 1060 individuals to estimate a population proportion with a margin of error of 3% with 95% confidence because it strikes a balance between cost and accuracy, and it is based on statistical calculations that aim to achieve a reasonable level of precision while minimizing the margin of error.
When a polling company selects a sample size of 1060 individuals, it is based on statistical calculations that aim to achieve a 3% margin of error with 95% confidence. The sample size needs to be large enough to reduce the margin of error and increase the level of confidence in the results.
The margin of error decreases as the sample size increases, and it is inversely proportional to the square root of the sample size. Therefore, a larger sample size leads to a smaller margin of error. However, increasing the sample size also increases the cost and time required to conduct the survey.
Polling companies aim to strike a balance between the cost and the desired level of accuracy, which is typically a margin of error of 3-5% with 95% confidence. A sample size of 1060 individuals is often considered a reasonable compromise between cost and accuracy, as it provides a small enough margin of error to be useful while being feasible to conduct within a reasonable time and budget.
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