By rounding each number to 1 significant figure, the estimate for the expression 23.4 x 13.9 / 0.18 is 1000.
To estimate the answer to the expression 23.4 x 13.9 / 0.18, we can round each number to 1 significant figure.
23.4 rounded to 1 significant figure is 20.
13.9 rounded to 1 significant figure is 10.
0.18 rounded to 1 significant figure is 0.2.
Now we can evaluate the expression with the rounded numbers:
20 x 10 / 0.2
= 200 / 0.2
= 1000
Therefore, by rounding each number to 1 significant figure, the estimate for the expression 23.4 x 13.9 / 0.18 is 1000.
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Black Diamond Company produces snowboards. Each snowboard requires 2 pounds of carbon fiber. Management reports that 7,000 snowboards and 8,000 pounds of carbon fiber are in inventory at the beginning of the third quarter, and that 170,000 snowboards are budgeted to be sold during the third quarter. Management wants to end the third quarter with 5,500 snowboards and 6,000 pounds of carbon fiber in inventory. Carbon fiber costs $19 per pound. Each snowboard requires 0.5 hour of direct labor at $24 per hour. Variable overhead is budgeted at the rate of $14 per direct labor hour. The company budgets fixed overhead of $1,802,000 for the quarter. Required: 1. Prepare the production budget for the third quarter. Hint: Desired ending inventory units are given. BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter Budgeted sales units Add: Desired ending inventory units Total required units Less: Beginning inventory units Units to produce 170,000 5,500 175,500 7,000 168,500 2. Prepare the direct materials budget for the third quarter. BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter Units to produce Materials needed for production (pounds) Total materials required (pounds) Materials to purchase (pounds) + Cost of direct materials purchases 3. Prepare the direct labor budget for the third quarter. BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter Units to produce Direct labor hours needed Cost of direct labor 4. Prepare the factory overhead budget for the third quarter. BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter Direct labor hours needed Budgeted variable overhead Budgeted total factory overhead
Production: 168,500 units.
Direct materials: 337,000 pounds.
Direct labor: Calculated based on units produced.
Factory overhead: Calculated based on direct labor hours.
1. Production Budget for the Third Quarter:
BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter
Budgeted sales units: 170,000
Add: Desired ending inventory units: 5,500
Total required units: 175,500
Less: Beginning inventory units: 7,000
Units to produce: 168,500
2. Direct Materials Budget for the Third Quarter:
BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter
Units to produce: 168,500
Materials needed for production (pounds): 2 pounds per snowboard
Total materials required (pounds): 337,000 pounds
Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds
3. Direct Labor Budget for the Third Quarter:
BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter
Units to produce: 168,500
Direct labor hours needed: 0.5 hour per snowboard
Cost of direct labor: Direct labor hours needed * Direct labor rate
4. Factory Overhead Budget for the Third Quarter:
BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter
Direct labor hours needed: Calculated from the direct labor budget
Budgeted variable overhead: Direct labor hours needed * Variable overhead rate
Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead
Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.
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*45 Points* Manuel completed the right column of the table to help him find the difference of 5/8 and 1/4 .
Answer:
Step 2
Step-by-step explanation:
He messed up because while changing the denominator (number on the bottom), he forgot to change the numerator (number on top).
It should be 2/8 instead of 1/8.
HELP PLEASE^^ (10 points)
A customer at a shipping store is planning to send a package and is considering two options. The customer can send a package for $5, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 5 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $15 to send the box, represented by the equation y = 15.
Based on the graph of the system of equations, when will the cost of the two shipping options be the same?
A. A package that weighs 15 pounds will cost $35 for both options.
B. A package that weighs 15 pounds will cost $25 for both options.
C. A package that weighs 10 pounds will cost $15 for both options.
D. A package that weighs 5 pounds will cost $15 for both options.
The solution is, D: A package that weighs 5 pounds will cost $15 for both options.
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,
The customer can send a package for $5, plus an additional $2 per pound.
The cost, y, can be represented by the equation y = 5 + 2x,
where x represents the amount of pounds of the package.
Another option is that the customer can pay a one-time fee of $15 to send the box, represented by the equation y = 15.
so, we get,
2x + 5 = 15
x = 5
Hence, The solution is, D: A package that weighs 5 pounds will cost $15 for both options.
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Answer:
D: A package that weighs 5 pounds will cost $15 for both options.
Step-by-step explanation:
2x + 5 = 15
x = 5
Thus, the person above me is correct :)
The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answer:
No adda doesnt get free delivery
Step-by-step explanation:
Answer: A) No, the distance from the restaurant to Ada’s house is Square Root of 41 miles, which is greater than the 6-mile maximum radius.
Step-by-step explanation:
I need help please I will give my 10 points I have left.
Answer:
divide and 16 per pound...
Answer:
divide, 16
Step-by-step explanation:
To find the weight, we have to divide the total number of ounces, 96, by the unit rate, which is the baseline for the conversion, 16 ounces.
Hope this helps! :)
Ismael earns $22 per hour plus a bonus of $50. How many hours does he have to work if he wants to earn more than $105? Part A: Translate the situation into an Inequality (Remember to use < or > ) Part B: Solve the inequality (How many hours does he have to work?)
Answer:
A. x > 2 [or x >= 2.5 depends on your options] , B. 2.5 hours (2 hours and 30 mins)
Step-by-step explanation:
A survey of 7th and 8th grade students asked whether they were in favor of or against school uniforms. The two-way table below shows the results. To the nearest tenth of a percent, what percent of the 7th Grade students were in favor of wearing school uniforms
The percent of the 7th graders that are in favor of school uniforms is 42.857% which can be rounded as 42.9%.
The survey results show there are a total of 112 7th-grade students and from this total, the number of students that support school uniforms is 48.
Let's calculate the percentage 48 represents:
100% = 112x = 48x = 48 x 100 / 112 x = 4800 / 112x = 42. 857This means the percentage of 7th graders that support uniforms is 42.857% which can be rounded to
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____ inches of water will cause tires to lose traction and make them slide.
The blank in the statement refers to a specific number and is dependent on various factors such as tire type, vehicle weight, and road surface conditions.
However, in general, hydroplaning, which occurs when a layer of water prevents direct contact between the tire and the road surface, can occur with as little as 0.1 inch of standing water on the road.
what is number?
A number is a mathematical concept used to count, measure, and label. It can be used to represent quantity, order, position, and more. Numbers can be positive, negative, or zero, and they can be whole or fractional. The most commonly used types of numbers are integers, rational numbers, real numbers, and complex numbers.
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To legally drive a off-road vehicle, your age, a, must be 13 or over. Which of the following inequalities represents this sentence?
1. a ≥ 13
2. a ≤ 13
3. a < 13
4. a > 13
Answer:
1.
Step-by-step explanation:
The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).
Answer:
a ≥ 13 is the answer for your question
Will mark brainliest if correct! Tysm
Answer:
\(80\)
Step-by-step explanation:
A pentagon's angle all add up to 540
\(460+x=540\)
\(x=80\)
Answer:A 80
Step-by-step explanation:
So a square is all 90° angles so take 90 from 140 and get 50 and 50+50=100 and a triangles thing adds up to 180 so 180-100=80 (I’m not good at explaining sorry)
Misha’s group was asked to write an expression equivalent to 7 y squared z + 3 y z squared minus 3. When Mr. Chen checked their answers, he found only one to be correct. Who had the correct answer?
Answer:Helena
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Karen is driving her moterhome. It uses 3 gallons of gas for every 24 milesComplete the table below showing the number of gallons used and the distance traveled.
( The table is 3,24 6, ? 7,? ? , 72 and 10, ?)
Answer: 6, 48 and 7, 56 and 9, 72 and 10,80
Step-by-step explanation:
Someone please answer this
Answer:
(x - 1)(5x - 6)
Step-by-step explanation:
Given
5x² - 11x + 6
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 5 × 6 = 30 and b = - 11
The factors are - 5 and - 6
Use these factors to split the x- term
5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )
= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term
= (x - 1)(5x - 6)
2. draw the lewis dot structure for each of the following molecules or ions. determine the number of bonding and nonbonding electron domains and indicate their electron domain and molecular geometries BF2
The Lewis dot structure for BF2 is:
F B F
\ /
B
/ \
F B F
In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.
To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.
The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.
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Jose earned 45 points in a video game. He lost 40 points, earned 80 points, then lost 25 more points. Enter and evaluate an expression to find his final score in the video game.
im confused any help?
Answer:
60 points
Step-by-step explanation:
Every time he earns points we add.
Every time he loses points we subtract.
We can write an equation to resemble the problem and simplify.
45 - 40 + 80 - 25
5 + 80 - 25
85 - 25
60
Best of Luck!
What is the area of the shaded region?
3 cm
Answer:
7.74cm ^2
Step-by-step explanation:
a=pie * r ^2
3.14*3^2=3.14*9=28.26 then you know all sides of a square are equal and 3 is half of 1 side so 6*6-=36 36-28.26=7.74
etta is taking notes to create a webpage about healthy eating. rq: why have childhood obesity rates tripled in the united states over the past three decades? - portion sizes have increased and calorie intake has increased 31 percent. - children now eat an average of three snacks per day (up from one per day). - children and adolescents spend an average of 7.5 hours per day watching television or on the internet. what should she add to make these notes more organized?
Etta needs to add the source of the information to better arrange these notes.
A note is a place where information about a specific item is recorded for later reference. The main goals of taking notes are to promote active learning and create study materials for tests. You should be able to organise material into an understandable format that will aid in your learning process by developing note-taking skills.
As a result, it is clear from the question that Etta is making notes for the purpose of creating a webpage about healthy eating. Once her notes have been organised with the relevant facts and information, Etta will need to cite her sources.
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An advance in technology in the production of good X causesa) the supply curve for good X to change from upward sloping to vertical.b) the supply curve for good X to change from vertical to upward sloping.c) a rightward shift in the supply curve for good X.d) a leftward shift in the supply curve for good X.
An advance in technology in the production of good X causes:
c) a rightward shift in the supply curve for good X.
Supply ShiftAn advance in technology typically increases the efficiency of production and reduces the costs of production. This results in an increase in the quantity of goods that can be produced at a given price, causing the supply curve to shift to the right. The shift to the right reflects an increase in supply, meaning that at any given price, there is now a larger quantity of goods available for sale. This increase in supply tends to put downward pressure on the market price.
The determination of a rightward shift in the supply curve as a result of an advance in technology can be made through analyzing the relationship between price and quantity supplied using basic microeconomic principles.
The supply curve represents the relationship between the price of a good and the quantity of that good that producers are willing and able to supply to the market. An advance in technology that leads to an increase in production efficiency and a decrease in production costs can increase the quantity of goods that can be produced at any given price.
As a result, the supply curve will shift to the right, reflecting an increase in the quantity of goods supplied at each price point. This shift to the right indicates that there is now a larger quantity of goods available for sale at any given price, which can put downward pressure on the market price.
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In the figure below, m || n. Find the values of z and y.
Check
(3y + 4)
H
80°
N
11
80
x
a manufacture produces wood tables on an assembly line, currently producing 1600 tables per shift. If the production is increased to 2000 tables per shift, labor productivity will increase by?
A) 10%
B) 20%
C) 25%
D) 40%
If the production of wood tables on an assembly line increases from 1600 tables per shift to 2000 tables per shift, the labor productivity will increase by 25%.We need to determine the percentage change.
To calculate the increase in labor productivity, we need to compare the difference in production levels and determine the percentage change.The initial production level is 1600 tables per shift, and the increased production level is 2000 tables per shift. The difference in production is 2000 - 1600 = 400 tables.
To calculate the percentage change, we divide the difference by the initial production and multiply by 100:
Percentage Change = (Difference / Initial Production) * 100 = (400 / 1600) * 100 = 25%.
Therefore, the correct answer is option C) 25%, indicating that labor productivity will increase by 25% when the production is increased to 2000 tables per shift.
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Fill in the blanks below with the correct units. (a) A large horse weighs about 1 . (b) A bucket holds about 4 of water. (c) A piece of paper is about 8 wide.
Each sentence should be completed with the correct unit as follows:
A large horse weighs about 1 pound. A bucket holds about 4 liter of water. A piece of paper is about 8 inches wide.What is measurement?Measurement can be defined as an act or process through which the size, weight, magnitude, quantity, volume (capacity), dimensions, or distance traveled by a physical object or body is taken, especially for the purpose of an experiment.
In Mathematics, the correct unit of measurement for the weight of a physical body such as a large horse is either pound, grams, or kilograms. Additionally, the correct unit of measurement for the volume (capacity) of a physical object such as a bucket is either liter, gallon, cubic centimeter, or cubic meter.
Lastly, the correct unit of measurement for the size (width) of a physical object such as a piece of paper is either inches, feet, centimeter, or meter.
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if you can plz help me MARK BRAINLIEST 2+2+2+2+2
Answer:
2+2+2+2+2=10
.................
a map has a scale of 1/2 inches:12 miles if the actual distance between the cities is 480 miles how far apart are they on the map
Answer:
20 inches
Step-by-step explanation:
Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.
480÷12 = 40
That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.
1/2 × 40 =20
This means that the distance between the cities on the map would be 20 inches.
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
Graph the line that passes through the points (8,0) and (4,4) and determine the equation of the line.
Answer:
Concept:
The formula used to calculate the equation of a line when two points are given is given below as
\(\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}\)Where the coordinates are given are
\(\begin{gathered} (x_1,y_1)\Rightarrow(8,0) \\ (x_2,y_2)\Rightarrow(4,4) \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \\ \frac{y-0}{x-8}=\frac{4-0}{4-8} \\ \frac{y}{x-8}=\frac{4}{-4} \\ \frac{y}{x-8}=-1 \\ \text{cross multiply,we will have} \\ y=-1(x-8) \\ y=-x+8 \end{gathered}\)Hence,
The equation of the line is y =-x+8
By graphing the line, we will have the image to be given below as
In each trial of an experiment, participants see a warning signal and then, a half-second later, see a pair of letters. The participants press one button if the letters are the same (e.g., W W) and a different button if the letters are different (e.g., P X). In 80% of the trials, the warning signal is identical to the letters that will be shown on that trial. Here are the warning signals and the test stimuli presented on Trial 97 of the procedure:
Group 1: warning signal = L; test pair = L L
Group 2: warning signal = U; test pair = L L
In this setup we should expect:
Based on the information provided, we can expect that participants in Group 1 will have faster reaction times and higher accuracy rates compared to those in Group 2.
This is because the warning signal in Group 1 (L) is identical to the test pair, which facilitates a faster and more accurate response due to the phenomenon of priming. In contrast, the warning signal in Group 2 (U) is different from the test pair, which may cause confusion and slower response times.
Furthermore, we can also expect that overall reaction times and accuracy rates will be affected by the task difficulty, which is determined by the similarity of the test pair. If the test pair is identical, participants are expected to have faster reaction times and higher accuracy rates compared to when the test pair is different.
This is because it is easier to identify similarity than difference. It is also possible that practice effects and individual differences in cognitive abilities may influence the results.
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Abigail is setting aside money to purchase a new phone. She already has $150 saved up from working over the summer vacation. If she earns $25 per shift working at the convenience store, how many shifts will she need to work to reach her goal of $600?
And explain plzz
Answer:
18 shifts.
Step-by-step explanation:
If x is the number of shifts using:
25x + 150 = 600
25x = 600 - 150
25x = 450
x = 450/25
x = 18.
Find the surface area of each pyramid show answer and round all decimals to the nearest tenth
The surface area of the pyramid is approximately 138.528 square feet.
What is the surface area of the pyramid?
The surface area of a solid is the sum of the areas of all faces of the solid. In this case, we find that the surface area is the sum of the areas of four triangles and the area of the square base. Then, we proceed to determine the surface area of the solid:
A = 4 · (1 / 2) · √[(3 ft)² + (8 ft)²] · (6 ft) + (6 ft)²
A ≈ 138.528 ft²
The surface area of the pyramid is approximately 138.528 square feet.
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Write the given nonlinear second-order differential equation as a plane autonomous system. *x" + (x')2 + 5x = 0 x' = y y' Find all critical points of the resulting system. (x, y) =
the only critical point of the system is (0,0).
To write the given nonlinear second-order differential equation as a plane autonomous system, we need to introduce a new variable. Let's define y = x', then we have:
x" = y' = -5x - y^2
Therefore, the plane autonomous system is:
x' = y
y' = -5x - y^2
To find the critical points of the system, we need to solve the system of equations:
x' = y = 0
y' = -5x - y^2 = 0
From the first equation, we have y = 0. Substituting y = 0 into the second equation, we have:
-5x - 0^2 = 0
x = 0
what is critical point?
In mathematics, a critical point is a point in the domain of a function where the function is either not differentiable or the derivative is equal to zero. In other words, critical points are the points where the function may have a maximum, minimum or a point of inflection. They are important in calculus, optimization, and other areas of mathematics.
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(a) Write an expression for a Riemann sum of a function f on an interval [a, b]. Explain the meaning of the notation that you use.
(b) If f(x)⩾ 0, what is the geometric interpretation of a Riemann sum? Illustrate with a diagram.
(c) If f(x) takes on both positive and negative values, what is the geometric interpretation of a Riemann sum? Illustrate with a diagram.
(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n
(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity
(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity
Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.
(a) Expression for a Riemann sum:
A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:
Δx = (b-a)/n
(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:
If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].
Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.
(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:
When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].
Each rectangle may have a positive or negative area, depending on the sign of f(xi).
The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.
In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.
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