Answer: 402 is the workers should be picking in order to ship 110,550 units for the shift. Hence, option E is correct.
Step-by-step explanation:
Use the ALEKS graphing calculator to solve the system of equations.
5-0.7x=0.2y
-y+0.4x = 4.3
Round to the nearest hundredth.
(x, y) = (.D
X
Ś
the solution to the system of equations is x = 7.14 and y = 13.57.
Define equationIn mathematics, an equation is a statement that asserts the equality of two mathematical expressions, usually containing one or more variables.
Given equations are:
5 - 0.7x = 0.2y ...........(1)
-y + 0.4x = 4.3 ...........(2)
To solve for x and y, we can use the elimination method, which involves multiplying one or both equations by a constant to eliminate one of the variables. Here's how we can do it:
First, let's multiply equation (1) by 5 and equation (2) by 2 to eliminate the y variable:
25 - 3.5x = y (multiplying equation (1) by 5)
-2y + 0.8x = 8.6 (multiplying equation (2) by 2)
Now we can substitute the expression for y from equation (1) into equation (2) and solve for x:
25 - 3.5x = 0.2(25 - 3.5x) (substituting y from equation (1))
25 - 3.5x = 5 - 0.7x
-2.8x = -20
x = 7.14
Substituting this value of x back into equation (1), we can solve for y:
5 - 0.7(7.14) = 0.2y
y = 13.57
Therefore, the solution to the system of equations is x = 7.14 and y = 13.57.
By using ALEKS graphing calculator, we get the same values of x and y.
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two splices plants are cut from a piece of sheet steel that has an overall length of 15 3/8 in the plates are 8 1/4 in and 5 15/16 in long how much material remerial remains from the original piece if each saw cut removes 1/16 in
Using fractions, we can find that [tex]1\frac{1}{16}[/tex] length of material remains.
Define fractions?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
A fraction is a non-integer that consists of a numerator and a denominator. A mixed fraction is made up of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is less than the denominator.
Material left = initial length - length of the first plate - length of the second plate - (2 x 1/16)
= 123/8 - 33/4 - 95/16 - 2/16
= 17/16
= [tex]1\frac{1}{16}[/tex].
Therefore, [tex]1\frac{1}{16}[/tex] length of material remains.
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Gold Nest Company of Guandong, China, is a family-owned enterprise that makes birdcages for the South China market. The company sells its birdcages through an extensive network of street vendors who receive commissions on their sales. The company uses a job-order costing system in which overhead is applied to jobs on the basis of direct labor cost. Its predetermined overhead rate is based on a cost formula that estimated $85,500 of manufacturing overhead for an estimated activity level of $45,000 direct labor dollars. At the beginning of the year, the inventory balances were as follows: Raw materials $ 10,400 Work in process $ 4,800 Finished goods $ 8,100 During the year, the following transactions were completed: Raw materials purchased on account, $162,000. Raw materials used in production, $141,000 (materials costing $128,000 were charged directly to jobs; the remaining materials were indirect). Costs for employee services were incurred as follows: Direct labor $ 159,000 Indirect labor $ 225,000 Sales commissions $ 28,000 Administrative salaries $ 50,000 Rent for the year was $18,600 ($13,100 of this amount related to factory operations, and the remainder related to selling and administrative activities). Utility costs incurred in the factory, $20,000. Advertising costs incurred, $15,000. Depreciation recorded on equipment, $21,000. ($17,000 of this amount related to equipment used in factory operations; the remaining $4,000 related to equipment used in selling and administrative activities.) Manufacturing overhead cost was applied to jobs, $ ? . Goods that had cost $229,000 to manufacture according to their job cost sheets were completed. Sales for the year (all paid in cash) totaled $512,000. The total cost to manufacture these goods according to their job cost sheets was $217,000. Required: 1. Prepare journal entries to record the transactions for the year. 2. Prepare T-accounts for each inventory account, Manufacturing Overhead, and Cost of Goods Sold. Post relevant data from your j
The journal entries to record the transactions for the year is showed below.
1. Journal Entries:
a. Raw materials purchased on account:
Raw Materials Inventory $162,000
Accounts Payable $162,000
b. Raw materials used in production (direct and indirect):
Work in Process Inventory $128,000
Manufacturing Overhead $13,000
Raw Materials Inventory $141,000
c. Costs for employee services (direct labor, indirect labor, sales commissions, administrative salaries):
Work in Process Inventory $159,000
Manufacturing Overhead $225,000
Sales Commissions Expense $28,000
Administrative Salaries Expense $50,000
d. Rent for the year (factory operations and selling/administrative activities):
Manufacturing Overhead $13,100
Selling and Administrative Expenses $5,500
Rent Payable $18,600
e. Utility costs incurred in the factory:
Manufacturing Overhead $20,000
Cash $20,000
f. Advertising costs incurred:
Selling and Administrative Expenses $15,000
Cash $15,000
g. Depreciation recorded on equipment (factory operations and selling/administrative activities):
Depreciation Expense (Factory) $13,100
Depreciation Expense (Selling and Administrative) $4,900
Accumulated Depreciation $18,000
2. T-Accounts:
a. Raw Materials Inventory:
Beginning balance: $10,400
Purchases: $162,000
Direct Materials Used: $128,000
Ending balance: ?
b. Work in Process Inventory:
Beginning balance: $4,800
Direct Labor: $159,000
Manufacturing Overhead: ?
Direct Materials Used: $128,000
Ending balance: ?
c. Finished Goods Inventory:
Beginning balance: $8,100
Cost of Goods Manufactured: $217,000
Ending balance: ?
d. Manufacturing Overhead:
Beginning balance: $0
Rent: $13,100
Utilities: $20,000
Depreciation (Factory): $13,100
Applied to Jobs: ?
Ending balance: ?
e. Cost of Goods Sold:
Beginning balance: $0
Cost of Goods Manufactured: $217,000
Ending balance: ?
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In the figure, PA and PB are tangent to circle O and PD bisects BPA. The figure is not drawn to scale. HELP PLSS
The measure of the angle POB is equal to 46°. Thus, option C is correct.
What is a circle, exactly?The cοllectiοn οf all pοints in the plane that make up a circle are all equally spaced frοm a certain pοint knοwn as the "centre," making the fοrm a clοsed twο-dimensiοnal shape. The symmetry line οf reflectiοn is fοrmed by each line that traverses the circle.
Mοreοver, it pοssesses rοtatiοnal symmetry arοund the centre fοr each angle. A circle is a circular shape that can be created by tracing a mοving pοint in a plane sο that its distance frοm a specified pοint remains cοnstant.
Given
Angle AOC = 46°
Now, ΔAOP ≅ ΔBOP
As SSS criteria is possible
Then
By CPCT
∠AOC = ∠BOC = ∠POB
∠POB = 46°
Thus, the measure of the angle POB is equal to 46°. Thus, option C is correct.
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In ΔXYZ, x = 830 cm,
�
m∠Y=141° and
�
m∠Z=25°. Find the length of z, to the nearest 10th of a centimeter.
Therefore, the length of z is approximately 2330.0 cm.
What is length?Length is a physical quantity that describes the distance between two points. It is typically measured in units such as meters, feet, inches, centimeters, or kilometers. Length can refer to the size of an object or the distance traveled by an object over a period of time. In geometry, length refers to the size of a line segment, which is the distance between two points in a plane. In physics, length is a fundamental concept that is used to describe the size of objects and the distances between them, and is an important factor in many calculations involving motion, energy, and other physical phenomena.
To find the length of side z, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
Using this law, we have:
[tex]z/sin(141°) = x/sin(25°)[/tex]
Solving for z, we get:
[tex]z = x*sin(141°)/sin(25°)[/tex]
[tex]z = 830*sin(141°)/sin(25°)[/tex]
z ≈ 2329.9 cm
Rounding to the nearest tenth of a centimeter, we get:
z ≈ 2330.0 cm
Therefore, the length of z is approximately 2330.0 cm.
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Corey wrote an equation in factored form , quadratic function . Kimberly wrote the equation y = (x + 8)(x - 2); y=x^ 2 +6x-16, to represent a and Joshua wrote the equation y = (x + 3) ^ 2 - 25 A. What information can Corey’s form help you find that is more difficult to find using the others form?
As a result, x = 2 and x = -5 are the roots of the quadratic function y = (x - 2)(x + 5). They also serve as the function's x-intercepts on the graph.
what is equation ?Typically, it includes one or more variables that stand in for unknowable values and may include exponents, roots, multiplication, division, and other mathematical operations. Finding the value(s) of the variable(s) necessary to make an equation true is the aim of equation solving. In algebra, calculus, and other areas of mathematics, equations are frequently employed to model and resolve issues.
given
This is because the values of x are provided by a quadratic function's factored form.
Let's use Corey's equation, y = (x - 2)(x + 5), as an illustration. We solve for x and put y equal to zero to obtain the roots of this function:
0 = (x - 2)(x + 5)
Only when one of the factors on the left side equals zero is this equation true. As a result, we may set each factor to 0 and find x:
In each equation, the result of solving for x is:
x = 2 or x = -5
This is because the values of x are provided by a quadratic function's factored form.
Let's use Corey's equation, y = (x - 2)(x + 5), as an illustration. We solve for x and put y equal to zero to obtain the roots of this function:
0 = (x - 2)(x + 5)
Only when one of the factors on the left side equals zero is this equation true. As a result, we may set each factor to 0 and find x:
x - 2 = 0 or x + 5 = 0
In each equation, the result of solving for x is:
x = 2 or x = -5
As a result, x = 2 and x = -5 are the roots of the quadratic function y = (x - 2)(x + 5). They also serve as the function's x-intercepts on the graph.
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1. In a five card poker hand what is the probability of being dealt exactly one ace and no picture cards?
2. The digits, 3,4,5,6 and 7 are randomly arranged to form q three digit number. Find the probability that the number is even and greater than 700
3. If you are dealt 3 cards from a shuffled deck of 52 cards find the probability of getting one queen and two kings
Therefore, the probability of randomly arranging the digits 3, 4, 5, 6, and 7 to form a three-digit number that is even and greater than 700 is 0.1.
What is Probability?Probability refers to the likelihood or chance that a particular event or outcome will occur. It is a mathematical concept that quantifies the degree of uncertainty associated with an event or situation. Probability is typically expressed as a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that it is certain to occur.
by the question.
Therefore, the total number of five card hands that have exactly one ace and no picture cards been 4 * (36 choose 4) = 253,440.
The total number of five card hands is (52 choose 5) = 2,598,960.
Therefore, the probability of being dealt exactly one ace and no picture cards in a five-card poker hand is 253,440 / 2,598,960, which simplifies to 0.097%.
2.There are a total of 5! = 120 possible arrangements of the digits 3, 4, 5, 6, and 7. To form a three-digit number, we need to use three of these digits, so there are 5 x 4 x 3 = 60 possible three-digit numbers we can form.
To be greater than 700, the first digit must be either 6 or 7. If we choose 7 as the first digit, there are 4 x 3 = 12 ways to choose the remaining two digits. If we choose 6 as the first digit, there are 4 x 3 = 12 ways to choose the second and third digits, since we can't repeat digits. Therefore, there are 12 + 12 = 24 three-digit numbers greater than 700.
To be even, the last digit must be either 4 or 6. If we choose 6 as the first digit, there are 2 ways to choose the last digit (either 4 or 6), and 3 ways to choose the middle digit (since we can't repeat digits). This gives us a total of 2 x 3 = 6 even numbers starting with 6.
If we choose 7 as the first digit, there are no even numbers we can form, since the last digit can only be 4 or 6 and we've already used the 6 digit. Therefore, the total number of even three-digit numbers greater than 700 is 6.
So, the probability of randomly selecting an even three-digit number greater than 700 is 6/60 = 1/10 or 0.1.
3.There is a total of C (52, 3) = 22,100 possible ways to choose 3 cards from a deck of 52 cards.
To get one queen and two kings, we need to choose one of the four queens and two of the four kings. There are C(4, 1) ways to choose one queen, and C(4, 2) = 6 ways to choose two kings. Therefore, there are 4 x 6 = 24 ways to choose one queen and two kings.
So, the probability of getting one queen and two kings is 24/22,100 or approximately 0.0011 (rounded to four decimal places).
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A roofer props a ladder against a wall so that the base of the ladder is 4 feet away from the building. If the angle of elevation from the bottom of the ladder to the roof is 63°, how long is the ladder?
what is the answer? thank you
The probability of an event occurring is 0.45.
Which of the options below show the
probability of an event that is less likely to
occur? Select all that apply.
A) 0.42
B) 0.48
C) 0.29
D) 0.37
E) 0.51
Answer:
An event that is less likely to occur would have a lower probability than 0.45. Therefore, the options that show a probability less than 0.45 are:
A) 0.42
C) 0.29
D) 0.37
So options A, C, and D are the correct answers.
which statement of the graph is true?
Answer:
The graph shows a proportional relationship because it is a line, and the difference between each point is the same.
explanation: The difference between all points are approximately 2.236.
Help I’ll give points thanks
Step-by-step explanation:
your answers for a. are correct.
b.
(f○g)(x) = f(g(x))
that means we are using the expression of g(x) as input to f(x). so, for f(x), x turns into g(x) = 0.9x
(f○g)(x) = f(g(x)) = 0.9x - 220
what it does is it reduces the price by 10% and then gives on to of that an additional absolute value discount if $220.
PLEASE HELP
Part A: Given the function g(x) = |x − 7|, describe the graph of the function, including the vertex, domain, and range. (5 points)
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Part A:
The required graph of the function is described.
The vertex of the function is (7,0)
The domain is : (-∝ , ∝) and
The range is : [0,∝), {yIy ≥ 0}
Part B:
The transformation which occurs from f(x) to h(x) is a vertical shift up to 2 units.
Define functions?Expressions separated by an equal sign are functions. Both dependent and independent variables are present.
Given Part A:
given the function is g(x) = I x - 7 I
hence from the function, vertex = (h,k)
h = 7 and k = 0
(h,k) = (7,0)
Find the domain by finding where the function is defined.
therefore, domain = (-∝ , ∝) , where {xIx ∈ R}
The range is the set of values that corresponds with the domain.
therefore, range = [0,∝), {yIy ≥ 0}
Part B:
given the parent function is: f(x) = |x|
which is transformed to h(x) = |x| + 2
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x axis or y axis, and if there is a vertical stretch.
Parent function = f(x) = |x|
Horizontal shift = none
Vertical shift = up 2 units.
Reflection about the x axis = none
hence from the function we can determine the vertex (h,k)
= (0,2)
Find the domain by finding where the function is defined.
therefore, domain = (-∝ , ∝) , where {xIx ∈ R}
The range is the set of values that corresponds with the domain.
therefore, range = [2,∝) , {yIy ≥ 2}
Hence, we get the required answers.
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The area of a circle is the same as the area
of a square whose side is 4 centimeters. The radius of the circle is closest to
F. 16 cm
G. 8 cm
H. 4 cm
J. 2 cm
K. 1 cm
The Mitchell family and the Garcia family each used their sprinklers last summer. The Mitchell family's sprinkler was used for 35 hours. The Garcia family's sprinkler was used for 25 hours. There was a combined total output of 1075L of water. What was the water output rate for each sprinkler if the sum of the two rates was 35L per hour?
Water output rate for Mitchell family's sprinkler was 20 L per hour and for Garcia family's sprinkler was 15 L per hour. Their sum is 35 L per hour and total water output was 1075L of water.
Let's denote the water output rate of the Mitchell family's sprinkler by x and the water output rate of the Garcia family's sprinkler by y. We know that the sum of the two rates is 35 L per hour, so equation:
x + y = 35
We also know that the Mitchell family's sprinkler was used for 35 hours, so it produced a total of 35x liters of water. Similarly, the Garcia family's sprinkler was used for 25 hours, so it produced a total of 25y liters of water. The combined total output of 1075L of water will be written as:
35x + 25y = 1075
We use first equation to solve for one of variables in terms of the other. For example, we solve for y:
y = 35 - x
Now substitute this expression for y into second equation:
35x + 25(35 - x) = 1075
Simplifying the equation:
10x + 875 = 1075
Solve for x:
x = 20
Substitute x value into expression for y:
y = 35 - 20 = 15
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What is the solution of the inequality shown below? -3 + y <6
The solution to the inequality is y < 9
What are inequalities?Inequalities are simply described as a relation with the reflection of a non-equal comparison between two numbers, mathematical expressions or even elements.
The comparison of these expressions or numbers is mostly based on their sizes on the number line.
It is used to compare two values such that one is less than, greater than, or simply not equal to another value.
From the information given, we have the inequality;
-3 + y< 6
To solve for y, collect like terms
y < 6 + 3
add the values
y< 9
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
the true statements about the circle equation are:
The center of the circle lies on the x-axis. The radius of the circle is 3 units.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.Which statements are true about our circle?Remember that the equation of a circle whose center is at(a, b) and has a radius of R units is:
(x -a )²+ (y - b)² = R²
Here the equation is:
x² + y² - 2x - 8 = 0
Completing squares in x we will get:
(x² - 2x) + y² - 8 = 0
(x² - 2x + 1) -1 + y² - 8 =
(x - 1)² + (y - 0)² = 9 = 3²
So the center is (1, 0) and the radius is 3, so the true statements are:
The center of the circle lies on the x-axis. The radius of the circle is 3 units.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.Learn more about circle equations at:
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Suppose that people are equally likely to have been born on any of the 7 days of the week. You meet two new friends independently, and ask each of them on what day of the week they were born. (Enter your answers as fractions.)
The calculated probability of a friend being born on a Friday is 1/7
Probability of a Friend Being Born on a FridayAssuming that people are equally likely to have been born on any of the 7 days of the week, the probability of the first friend being born on a Friday is 1/7 or approximately 0.143.
This is because there is only one day out of the seven days of the week that is Friday, and each day has an equal chance of being chosen.
Therefore, the probability of the first friend being born on a Friday is 1/7.
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Complete question
Suppose that people are equally likely to have been born on any of the 7 days of the week. You meet two new friends independently, and ask each of them on what day of the week they were born. (Enter your answers as fractions.) What is the probability that the first friend was born on a Friday
a digital camera that cost #49 was sold on ebay for 3/7 for the original price.what was the selling price
Answer: 20.99
Step-by-step explanation: you multiply by 0.428571 which is 3/7
Question 11 (5 points)
(Experimental Probability MC)
Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows
the frequency of each card drawn.
Card A23
Frequency 47567
Based on the table, what is the experimental probability that the card selected was a K or 6?
a
Ob
Od
100 11-
4
10JQK
Question 12(5 points)
the correct answer is option b) 0.11. To find the experimental probability of drawing a K or 6, we need to first determine how many K's and 6's are in a standard deck of cards.
A standard deck of cards contains 52 cards, divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards, including an ace, numbered cards 2-10, and face cards (jack, queen, king).
Out of the 52 cards in the deck, there are four K's and four 6's, for a total of eight cards that satisfy the condition of being a K or 6.
To calculate the experimental probability of drawing a K or 6 from the table, we need to add up the frequency of drawing a K and the frequency of drawing a 6, and then divide by the total number of draws (100).
From the table, we see that the frequency of drawing a K is 4, and the frequency of drawing a 6 is 7. Therefore, the total frequency of drawing a K or 6 is:
4 (K's) + 7 (6's) = 11
So the experimental probability of drawing a K or 6 is:
11/100 = 0.11
Therefore, the correct answer is option b) 0.11.
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HELP ME PLEASE this is due tomorrow
The cube's surface area would be 96m².
The surface area of the right rectangular prism is 37.5 ft².
The height of the prism is 4/3 in.
The approximate lengths of the sides of the base is height of 9 cm and a base of 8.2 cm.
How to find the surface area ?To find the surface area, first find the side length of the cube. The volume of a cube is V = s³, where s is the side length. So:
64m³ = s³ => s = (64)^(1/3) = 4m
Now, the surface area (SA) of a cube is given by the formula SA = 6s². Plugging in the side length:
SA = 6(4m)² = 6(16m²) = 96m²
To find the surface area of the right rectangular prism:
First, find the Lateral Area (LA): LA = Perimeter × height
Perimeter = (2 ft + 1 1/2 ft) × 2 = 7 ft
Height = 4 1/2 ft
LA = 7 ft × 4 1/2 ft = 31.5 ft²
Now, find the Surface Area (SA): SA = LA + 2B
SA = 31.5 ft² + 2(3 ft²) = 31.5 ft² + 6 ft² = 37.5 ft²
To find the height h of the prism:
First, find the Base Area (B): B = Length × Width
B = 3 in × 7 in = 21 in²
Now, use the Surface Area (SA) formula to find the Lateral Area (LA):
SA = LA + 2B => LA = SA - 2B
LA = 68 2/3 in² - 2(21 in²) = 68 2/3 in² - 42 in² = 26 2/3 in²
Now, use the Lateral Area (LA) formula to find the height (h):
LA = Ph => h = LA / P
Perimeter (P) = 2(Length + Width) = 2(3 in + 7 in) = 20 in
h = (26 2/3 in²) / 20 in = 4/3 in
The right triangular prism has two equilateral triangular bases and three rectangular sides. Since the distance between the bases is 9 cm, we can use the surface area of the prism to find the total area of the three rectangular sides:
Surface area = 2 * A (triangle bases) + Lateral area (rectangular sides)
319.5 cm² = 2 * 29.1 cm² + Lateral area
Lateral area ≈ 261.3 cm²
Each of the three rectangular sides has a height of 9 cm and a base of 8.2 cm.
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These figures are similar. The
area of one is given. Find the
area of the other.
9 in
area=32 in
12 in
[? ]in²
2
Answer:
18 in²--------------------------
Find the scale factor by dividing the corresponding sides of the given figures:
k = 9/12 = 3/4The area is the product of two dimensions therefore the ratio of areas of similar figures is the square of the scale factor. Let the area of the smaller figure be A, then we got the ratio:
A/32 = k²A/32 = (3/4)²A/32 = 9/16A = 32*9/16A = 18Answer: 18 in²
Step-by-step explanation:
Find the distance traveled.
The distance traveled after t seconds is given by:
[tex]d = |-\frac{(2t^2 + 2t + 1)e^{-2t}}{4}|[/tex]
How to find the distance traveled after t seconds?Here we know that the particle moves along a straight line with the velocity:
[tex]v(t) = t^2*e^{-2t}[/tex]
Remember that the velocity is the rate of change of the position, so if we want to find the distance traveled after t seconds, we need to integrate this between 0 and t, we will get:
[tex]\int\limits^t_0 {t'^2*e^{-2t'}} \, dt' = -\frac{(2t^2 + 2t + 1)e^{-2t}}{4}[/tex]
That is the expression that gives the distance traveled after t seconds, if we want to get it more exactly, we should take the absolute value, then we get:
[tex]d = |-\frac{(2t^2 + 2t + 1)e^{-2t}}{4}|[/tex]
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Identify the segment bisector of XY
XM= 3x+1
MY= 8x-24
The length of XY is
Answer:
The length of XY is 32.
Step-by-step explanation:
3x + 1 = 8x - 24
1 = 5x - 24
5x = 25
x = 5
3(5)+1 = 16
16*2 = 32
The length of XY is 32.
If a sandwich is made by randomly choosing each of the options, what is the probability it will be a sandwich that Andre would be happy with?
Probability in sandwich choices analysis refers to the likelihood of a particular sandwich being chosen, based on factors such as taste, price, and availability.
1. To calculate the total number of possible sandwiches, we need to consider the number of options for each category: bread, protein, cheese, and vegetables.
Bread: There are 3 options - Italian, white, and wheat.
Protein: There are 4 options - tuna, ham, turkey, and beans.
Cheese: There are 4 options - provolone, Swiss, American, and none.
Vegetables: There are 5 options, and since we need to choose two, we use combinations. Therefore, there are (5 choose 2) = 10 possible combinations of vegetables: lettuce and tomatoes, lettuce and peppers, lettuce and onions, lettuce and pickles, tomatoes and peppers, tomatoes and onions, tomatoes and pickles, peppers and onions, peppers and pickles, and onions and pickles.
To calculate the total number of possible sandwiches, we multiply the number of options for each category:
3 x 4 x 4 x 10 = 480
Therefore, there are 480 different possible sandwiches.
2. Since Andre only cares about the ham, lettuce, and tomatoes, we only need to consider the number of options for vegetables. He needs to choose two vegetables, so we need to count the number of possible combinations of lettuce, tomatoes, and the remaining vegetables. Since we don't care about the bread or cheese, we can ignore those options.
There are (3 choose 2) = 3 possible combinations of vegetables that would make Andre happy: lettuce and tomatoes, lettuce and peppers, or tomatoes and peppers. Since we don't care about the bread or cheese, there are no restrictions on those categories, so there are 4 options for cheese and 3 options for bread, for a total of 12 possible sandwiches that would make Andre happy.
3. To calculate the probability of randomly choosing a sandwich that would make Andre happy, we divide the number of sandwiches that would make him happy by the total number of possible sandwiches:
3/480 = 1/160
Therefore, the probability is 1/160, or approximately 0.00625. This means that if we were to randomly choose a sandwich, there is a 0.625% chance that it would be a sandwich that would make Andre happy.
The complete question is:
1. A submarine sandwich shop makes sandwiches with one kind of bread, one protein, one choice of cheese, and two vegetables. How many different sandwiches are possible? Explain your reasoning. You do not need to write out the sample space.
Breads: Italian, white, wheat
Proteins: Tuna, ham, turkey, beans
Cheese: Provolone, Swiss, American, none
Vegetables: Lettuce, tomatoes, peppers, onions, pickles.
2. Andre knows he wants a sandwich that has ham, lettuce, and tomatoes on it. He doesn’t care about the type of bread or cheese. How many of the different sandwiches would make Andre happy?
3. If a sandwich is made by randomly choosing each of the options, what is the probability it will be a sandwich that Andre would be happy with?
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To show that circle P is similar to circle Q, circle P is translated t
units to the right. The image is then dilated about its center by a
scale factor of s.
What are the values of t and s?
058
S=3
t = 13
s=1.75
t=-5
S=8
Answer:the scale factor of dilation from circle P to Q is 2.5
for among us
Step-by-step explanation:
The similar circles P and Q can be made equal by dilation and translation
The horizontal distance between the center of circles P and Q is 11.70 units
The scale factor of dilation from circle P to Q is 2.5
The horizontal distance between their centers?
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
The scale factor of dilation from circle P to Q
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
3) Hannah is making muffins. The recipe calls for 2/3 cup of milk to make 12
muffins.
a) What is the unit rate for cups of milk per muffin?
b) What is the unit rate for muffins per cup of milk?
a) The unit rate for cups of milk per muffin is 1/18 cup of milk per muffin.
b) The unit rate for muffins per cup of milk is 18 muffins per cup of milk.
What are the muffins?
(a) To find the unit rate for cups of milk per muffin, we need to divide the total amount of milk by the number of muffins:
2/3 cup of milk / 12 muffins = (2/3) ÷ 12 cup of milk per muffin
We can simplify this fraction by multiplying the numerator and denominator by 3:
(2/3) ÷ 12 = 2 ÷ (3 x 12) = 2 ÷ 36 = 1/18
So the unit rate for cups of milk per muffin is 1/18 cup of milk per muffin.
b) To find the unit rate for muffins per cup of milk, we need to divide the number of muffins by the total amount of milk:
12 muffins / (2/3 cup of milk) = 12 ÷ (2/3) muffins per cup of milk
To divide by a fraction, we can multiply by its reciprocal:
12 ÷ (2/3) = 12 x (3/2) = 36/2 = 18
So the unit rate for muffins per cup of milk is 18 muffins per cup of milk.
A muffin is a type of small, individual-sized baked good that is usually round in shape and has a slightly sweet taste. Muffins can be made with a variety of ingredients, including flour, sugar, eggs, butter, milk, and baking powder. They can also be flavored with various fruits, nuts, spices, or chocolate chips.
Muffins can be eaten for breakfast, as a snack, or as a dessert. They are often served warm and can be eaten plain or with butter, jam, or honey. Muffins are a popular baked good and are commonly found in coffee shops, bakeries, and grocery stores.
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Complete question is: Hannah is making muffins. The recipe calls for 2/3 cup of milk to make 12 muffins.
a) The unit rate for cups of milk per muffin is 1/18 cup of milk per muffin.
b) The unit rate for muffins per cup of milk is 18 muffins per cup of milk.
Which of the following is the average rate of change over the interval
Answer:
To find the average rate of change of a function over an interval, you can use the formula:
average rate of change = [f(b) - f(a)] / (b - a)
where a and b are the endpoints of the interval.
In this case, you have the function g(x) = log2(x + 3) - 4 and the interval [-2, 5]. So, plugging in the values, you get:
average rate of change = [g(5) - g(-2)] / (5 - (-2))
First, let's evaluate g(5) and g(-2).
g(5) = log2(5 + 3) - 4 = log2(8) - 4 = 3 - 4 = -1
g(-2) = log2((-2) + 3) - 4 = log2(1) - 4 = 0 - 4 = -4
Now you can substitute these values into the formula:
average rate of change = (-1 - (-4)) / (5 - (-2))
= 3 / 7
And the average rate of change of g(x) over the interval [-2, 5] is 3/7.
Help!! I guessed on this so I’m not sure if it’s right but if it isn’t please help me lol
Answer:
x + 4
Step-by-step explanation:
When factored x^2 -16 is (x + 4)(x - 4)
When factored x^2 + 2x - 8 is (x - 2)(x + 4)
The common expression is x + 4
If 2x2 + 8x – 14 = 0, find the sum and the product of its roots.
a. sum = 4; product = 7 c. sum = -4; product = -7
b. sum = -4; product = 7 d. sum = 4; product = -7
Answer:
c
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0
then
sum of roots = - [tex]\frac{b}{a}[/tex]
product of roots = [tex]\frac{c}{a}[/tex]
2x² + 8x - 14 = 0 ← is in standard form
with a = 2 , b = 8 , c = - 14
sum of roots = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4
product of roots = [tex]\frac{c}{a}[/tex] = [tex]\frac{-14}{2}[/tex] = - 7
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Match each function family name to the graph of its parent function.
absolute value
logarithmic
+
rational
97
yt
radical
polynomial
exponential
The function family name of the parent function shown in the graph above is radical.
What is a cubic root function?In Mathematics, a cube root function is sometimes referred to as a cubic root polynomial or radical function and it can be defined as a type of polynomial that is an inverse of a cubic function.
Generally mathematics, a radical function or a cube root function can be represented or modeled by using the following mathematical equation:
f(x) = a∛(x - h) + k
where:
h represent the horizontal shift.k represent the vertical shift.In this context, we can reasonably infer and logically deduce that the function family name of the parent function shown in the graph above is a radical function or a cube root function.
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