Answers
The width of the rectangular prism can be calculated as:
0.9 meters
How to Find the Width of the Rectangular Prism?To find the width of the rectangular prism, recall the formula for finding the volume of rectangular prism which is expressed as:
Volume (V) = l * w * h, where:
h = height
w = width
l = length
Given the parameters below as shown in the image above:
Length (l) = 0.7 m
Height (h) = 2.4 m
Width (w) = ?
Volume (V) = 1.512 m³
Plug in the values:
1.512 = 0.7 * 2.4 * w
1.512 = 1.68 * w
w = 1.512/1.68
w = 0.9 m
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Related Questions
Expression equivalent (7^3)^-2
Answers
_______
\( \: \)
Step by step :\(( {7}^{3} ) {}^{ - 2} = x\)
\( {7}^{3 \times ( - 2)} = x\)
\( {7}^{ - 6} = x\)
\( \frac{1}{ {7}^{6} } = x\)
\( \frac{1}{117.649} = x\)
Soo, answer for question \(\frac{1}{117.649} = x\)
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
Answers
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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I need help please help
Answers
Answer:
The answer should be C
Step-by-step explanation:
I hope that it helps you!
CAN SOMEONE PLEASE HELP me with the correct answer!!!!! I need this done please help like please
Answers
reasoning: circle = 360 degrees
360-115= 245
245-81= (164 degrees)
Cho dãy số: 1, 4, 7, 10,…
a. Nêu quy luật của dãy.
b. Số 31 có phải là số hạng của dãy không, nếu phải thì số hạng thứ bao nhiêu?
c. Số 1995 có thuộc dãy này không? Vì sao?
Answers
Answer:
bsjjdnsnd
Step-by-step explanation:
bdhd dhdidnne
Which expression is equivalent to the given expression? 2x^2 - 14x - 24
Answers
Answer:
\( 2( {x}^{2} - 7x - 12)\)
Step-by-step explanation:
\( \huge \: 2x^2 - 14x - 24 \\ \huge \: = 2( {x}^{2} - 7x - 12)\)
Let p, q, and r be the propositions
p :You get anA on the final exam.
q : You do every exercise in this book. r :You get anA in this class.
Write these propositions using p, q, and r and logical connectives (including negations)
You get an A in this class, but you do not do every exercise in this book.
b) You get an A on the final, you do every exercise in this book, and you get an A in this class.
c) TogetanAinthisclass,itisnecessaryforyoutoget an A on the final.
d) You get an A on the final, but you don’t do every ex- ercise in this book; nevertheless, you get an A in this class.
e) Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class.
f) YouwillgetanAinthisclassifandonlyifyoueither do every exercise in this book or you get an A on the final.
Answers
The proposition with logical connectives for the following statements will be : A) r⋀~q B) p⋀q⋀r C) r⇒p D) p⋀~q⋀r E) (p⋀q)⇒r F) r⇔(p⋁q).
We know that in proposition, when 2 propositions are connected using "and" then ⋀ is used, similarly for "or" ⋁ is used and for negation "~" is used. When a statement implies some other statement then "⇒" is used and when 2 propositions are co dependent on each other then Biconditional connective "⇔" is used. Now :
For A), p and q are both are true but the negation of q is used so it will be r⋀~qFor B), All the 3 statements are combined using and so it will be represented as p⋀q⋀rFor C), It is said that for statement p to happen, r is necessary i.e. r implies that p will happen, therefore r⇒pFor D), p is connected to q and r using and conjunction but q doesn't happen so negation of q will be used, then it will be p⋀~q⋀rFor E), Both p and q are required for r to occur so p and 1 is implying statement r, therefore (p⋀q)⇒r For F) It is said that r is co-dependent on p or q and vice-versa so it will be written as r⇔(p⋁q)Learn more about Propositions here,
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Part A: Choose one value for a and one value for b that would make both of the following inequalities true:
a < b and |b| < |a|
Answers
The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:
To make both inequalities true, we need to select values for a and b that satisfy the given conditions:
a < b: This inequality means that the value of a should be less than the value of b.
|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.
One possible solution that satisfies both conditions is:
a = -2
b = 1
With these values, we have:
-2 < 1 (a < b)
|-1| < |2| (|b| < |a|)
Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:
This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.
|b| < |a|:
This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.
By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.
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a jar contains 6 navy 17 gray 7 black and 5 pink marbles a marble is drawn random p(black)?
Answers
The Probability when black marble is drawn will be 1/5
Step-by-step explanation:
No. of Navy marble-6
no. of Grey Marble- 17
No. of Black marble-7
No. of Pink Marble- 5
Total no. of marbles- 35
Probability to draw black marble=p(black)
=No. of black marbles/total no. of marbles
=7/35
=1/5
=0.20=20%
What is Probability?Probability is defined as how likely something is going to happen .We can calculate Probability by dividing the possible number of ways the event can occur by the total number of outcomes. The value of the probability of an event to happen should always lie between 0 and 1 because the favourable number of outcomes can never cross the total number of outcomes. The favourable number of outcomes should not be negative.
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Chuck is picking up pecans in his yard. He discovered that 2 out of every 15 pecans are bad. If he picks up 840 pecans, about how many will be bad in the group?
Answers
Answer:
Who picks up that many pecans?
Step-by-step explanation:
i get bored after like 30. jeez.
Show how you arrived at your solution on the answer sheet for full credit. Write neatly, clearly and be organized.
11. A maker of frozen meals claims that the average caloric content of its meals is 800. A
researcher tested 12 meals and found that a sample mean was 815 calories and the sample
standard deviation 25. Is there enough evidence to reject the claim at a =0.02? Assume the
variable is normally distributed. Use p-value method or traditional method. (hint: two-tail
test) write your answer three decimal places (8 points)
Answers
Step-by-step explanation:
A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car
Adult male Akitas weigh an average of 115 pounds with a standard deviation of 10.4 pounds. Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds. One dog lover owns an underweight Akita and an underweight Boston Terrier. The Akita weighs 97 pounds, and the Boston Terrier weighs 16 pounds. Use z-scores to determine which dog is more underweight?
Answers
Answer:
Adult Male Akitas
Step-by-step explanation:
The z-score formula =
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation
a)Adult male Akitas
weigh an average of 115 pounds with a standard deviation of 10.4 pounds.
Akita weighs 97 pounds
z = (x-μ)/σ
= 97 - 115/10.4
-1.7307692308
b) Boston Terrier
Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds.
Boston Terrier weighs 16 pounds.
z = (x-μ)/σ
z = 16 - 18.5/2.7
= -0.9259259259
From the above calculation,
The Adult male Akitas is -1.7307692308 standard deviations. underweight
The Boston terrier is -0.9259259259 standard deviations underweight.
Therefore, the Adult male Akitas is more underweight.
PLS HELP THIS IS DUE TODAY
Answers
1. PM:MQ and KM:ML (Given)
2. KM/MQ = PM/ML (Property of cross multiplication)
3. ∠ PMK = ∠ LMQ (vertical angles are congruent)
4. ΔPMK ~ ΔLMQ (SAS~)
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
Given,
PM:MQ and KM:ML
To prove
ΔPMK ~ ΔLMQ
By the figure,
PM:MQ = KM:ML (Given)
Cross multiplying
KM/MQ = PM/ML
∠ PMK = ∠ LMQ (vertical angles)
Using Side - Angle - Side theorem
ΔPMK ~ ΔLMQ
Hence,
1. PM:MQ = KM:ML , since its given
2. KM/MQ = PM/ML using cross multiplication
3. ∠ PMK = ∠ LMQ both are vertical angles
4. ΔPMK ~ ΔLMQ using side-angle-side theorem of similarity
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Let f(x) = x^2-4 what is the range
Answers
Answer:
Range: [−4,∞)
Step-by-step explanation:
Hope it helps:)
Answer:
Range: [-4, ∞), {y|y ≥ -4}
Step-by-step explanation:
It helps if you graph the function to better understand what the range is.
In interval and set-builder notation, the range is:
[-4, ∞), {y|y ≥ -4}
This is knowing that the Domain is:
(-∞, ∞), {x|x ∈ R}
help me please please please
Answers
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
Answers
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
i took the assignment
Simplify.
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
A.
4
B.
4x + 4
C.
6y + 4
D.
4x + 6y + 4
Answers
Answer:
4x + 6y + 4
Step-by-step explanation:
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
= -2x + 3y + 5x + 2 - 3x + 3y + 2
= -2x + 5x -3x + 3y + 3y + 2 + 2
= 0 + 6y + 4
= 6y + 4 (C)
Hope it helps ⚜
Answer:
D; 4x+6y+4
Step-by-step explanation:
1. Distribute the negative
2. -2×+3y+5x+2-3×+3y+2
2. combine like terms
answer; 4x+6y+4
Which statement is true about a translation ?
A. A translation rotates a line
B. A translation takes a line to a parallel line or itself
C. A translation takes a line to a perpendicular line
D. A translation dilates a line
Answers
Which set of values is a function?
a.)(9,5), (10,5), (9,-5),(10,-5)
b.)(3,4), (4,-3),(7,4),(3,8)
c.)(6,-5) (7,-3), (8,-1), (9,1)
d.)(2, -2), (5,9), (5,-7), (1,4)
Answers
I hope this helps:)
Pls help. 2 steps.................
Answers
Answer:
Where?
Step-by-step explanation:
Let G be an abelian group and let H be the subset of G consisting of all elements of G of finite order. That is,
H={α∈G∣the order of a is finite}.
Prove that H is a subgroup of G.
Answers
H is a subgroup of G since it is closed under the group operation, contains the identity element and inverses of its elements.
A subset H of a group G is a subgroup of G if it satisfies the following three properties:
1. Closure: H is closed under the group operation, that is, if α, β∈H then αβ∈H.
2. Identity element: H contains the identity element e of G.
3. Inverses: For each element α∈H, its inverse (or reciprocal) α−1 is also an element of H.
In this case, the subset of G consisting of elements of finite order (H) satisfies all of these three properties. Since H is closed under the group operation, if α, β∈H then αβ∈H. The identity element of G, e, is also an element of H since the order of the identity element is always 1, which is finite. Finally, for each element α∈H, its inverse α−1 is also an element of H since the inverse of a finite order element is also of finite order. Therefore, by satisfying all of the three properties of a subgroup, H is indeed a subgroup of G.
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Calculate inverse A x 2B
Answers
The multiplication of matrices A⁻¹ x 2B = \(A^{-1} . 2B =\begin{pmatrix}-9&-7\\ 8&6\end{pmatrix}\)
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
Let the first matrix be represented as A
The value of A is
\(A = \left[\begin{array}{ccc}6 &8 \\ 8 &10 \\\end{array}\right]\)
Let the second matrix be represented as B
The value of B is
\(B = \left[\begin{array}{ccc}5 &3 \\ 4 &2 \\\end{array}\right]\)
Now , the inverse of matrix A is calculated as
\(\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}\)
On simplifying the equation , we get
\(\begin{pmatrix}6&8\\ 8&10\end{pmatrix}^{-1} = \frac{1}{\det \begin{pmatrix}6&8\\ 8&10\end{pmatrix}}\begin{pmatrix}10&-8\\ -8&6\end{pmatrix}\)
And the value of determinant of matrix A = -4
\(A^{-1} =\frac{1}{-4}\begin{pmatrix}10&-8\\ -8&6\end{pmatrix}\)
Therefore , the value of A⁻¹ is
\(A^{-1} =\begin{pmatrix}-\frac{5}{2}&2\\ 2&-\frac{3}{2}\end{pmatrix}\)
Now , the value of A⁻¹ x 2B is
\(A^{-1} . 2B =\begin{pmatrix}-\frac{5}{2}&2\\ 2&-\frac{3}{2}\end{pmatrix}\begin{pmatrix}10&6\\ 8&4\end{pmatrix}\)
Therefore , the value of A⁻¹ x 2B is
\(A^{-1} . 2B =\begin{pmatrix}-9&-7\\ 8&6\end{pmatrix}\)
Hence , the product of A⁻¹ x 2B is \(A^{-1} . 2B =\begin{pmatrix}-9&-7\\ 8&6\end{pmatrix}\)
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A soccer ball bounces straight up into the air off the head of a player from a height of 6 feet. .......h(t) = -16t^2+40r+6, where h is the height of the ball at t seconds. How long does it take the ball to hit the ground
Answers
Step-by-step explanation:
the ground = 0 ft.
so,
0 = -16t² + 40t + 6
let's simplify
0 = -8t² + 20t + 3
the general solution of a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -8
b = 20
c = 3
t = (-20 ± sqrt(400 - 4×-8×3))/(2×-8) =
= (-20 ± sqrt(400 + 96))/-16 =
= (-20 ± sqrt(496))/-16 = (-20 ± 4×sqrt(31))/-16
t1 = (-20 + 4×sqrt(31))/-16 = 20/16 - sqrt(31)/4 =
= 5/4 - sqrt(31)/4 = -0.141941091... s
t2 = (-20 - 4×sqrt(31))/-16 = 20/16 + sqrt(31)/4 =
= 5/4 + sqrt(31)/4 = 2.641941091... s
a negative time duration does not make sense for our scenario here, so t2 = 2.641941091... s is our solution here.
it takes the ball 2.641941091... seconds to hit the ground.
Molly's scout troop sold 148 boxes of cookies last month and 165 boxes this month. Find the percent of increase, rounded to the nearest tenth of a percent.
Answers
The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.
How is the percentage increase determined?The percentage increase can be determined by finding the difference or the amount of increase in sales.
This difference is divided by the previous month's sales and multiplied by 100.
The total number of boxes of cookies Molly's Scout Troop sold last month = 148
The total number sold this month = 165
The increase = 17 (165 - 148)
Percentage increase = 11.5% (17 ÷ 148 x 100)
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XYZ is located on the coordinate plane below. If the triangle is transformed following the rule (x, y) to (x, -y), will congruence be maintained? Why or why not?
Answers
Answer: yes
Step-by-step explanation: because it will stay the same
1. In the number 7,886, the 8 in the hundreds place is ____ times greater than the 8 in
the tens place.
A. 1
B. 10
C. 100
D. 1,000
Answers
Answer:
B.10
Step-by-step explanation:
10×10=100
7,886
|____its 10× smaller (times 10 to get to 100)
Determine the amplitude of function
Answers
The amplitudes of functions are a) 8 and b) 6.
Given are the functions we need to determine the amplitude of function,
a) y = 8 Sin (x/2) + 3
b) y = 6 Cos x + 2
So,
To determine the amplitude of a trigonometric function, you can follow these steps:
For a sine function of the form y = A×sin(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
For a cosine function of the form y = A×cos(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
Let's apply these steps to the given functions:
a) y = 8×sin(x/2) + 3
The coefficient of sin in this function is 8, so the amplitude is |8| = 8.
Therefore, the amplitude of function a) is 8.
b) y = 6×cos(x) + 2
The coefficient of cos in this function is 6, so the amplitude is |6| = 6.
Therefore, the amplitude of function b) is 6.
Hence the amplitudes of functions are a) 8 and b) 6.
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This dot plot is not symmetric, and the data set has two
extreme values.
1 2 3 4
6 7 8 9 10
What is the best measure of center for this dot plot?
O A. The interquartile range (IQR)
O B. The mean
O C. The mean absolute deviation (MAD)
O D. The median
Answers
Answer:
D
Step-by-step explanation:
DON'T SOLVE IT
I know the answer. I just need to know the TOPIC in geometry.
What is the topic???
Answers
Answer:
Triangles in Geometry
Step-by-step explanation:
what is the length of segment ns
Answers
Given that x is equal to 1 and S is the centroid of the triangle NLQ, NS will have a length of 4 units.
What is centroid?The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition. The centroid of a triangle is the location where the triangle's three medians connect. It may alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
Here,
We may infer from the centroid's features that it divides each median in a ratio of 2:1.
NS=2SR
7x-3=2(5x-3)
7x-3=10x-6
3x=3
x=1
NS=7x-3
=7*1-3
=4 units
The length of NS will be 4 units as the value of x is 1 and S is the centroid of triangle NLQ.
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