How many cubic feet of warehouse space are needed for 440 boxes 13in. by 4in. by 10in. ?
Answers
19,065 ft³
1) We need for this question, to find out the volume of each box: 13" x 4" x 10"
2) The volume of each box, can be found by the following formula:
\(V=13\times4\times10\)Let's convert from inches to feet, using the following relation:
\(1in=\frac{1}{12}ft\)So we can write out:
\(\begin{gathered} V=\frac{520}{12} \\ V=43.33ft^3 \end{gathered}\)Notice that this is the volume, in feet, of one box. Since the question refers to 440 boxes we can multiply that volume by 440:
\(440\times43.33=19,065.2\approx19,065ft^3\)3) Hence, the answer is approximately 19,065 ft³
Related Questions
XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
Answers
The calculated value of k on the line is 9
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
XZ is the perpendicular bisector of segment WY
This means that
WX = XY
substitute the known values in the above equation, so, we have the following representation
3k - 4 = 2k + 5
So, we have
3k - 2k = 4 + 5
Evaluate
k = 9
Hence, the value of k is 9
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2.5 quarters weigh approximately 1 ounce. How many pounds would you expect a
collection of quarters worth $15 to weigh?
Answers
Answer:
1.5 pounds
Step-by-step explanation:
$15=60 quarters
2.5x16 = 40 quarters per pound
60/40 = 1.5 pounds
help pls!!!!!!!!!!!!
Answers
A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes. He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes. Using this sample information, conduct the appropriate hypothesis test at the 0.01 level of significance. Assume normality.
Answers
Step-by-step explanation:
n = 15
average = bar x = 4.29
null hypothesis
h0: μ=5
alternative hypothesis=
h1 = μ≠5
we find the test statistics
t stat = \(\frac{4.29-5}{0.75/\sqrt{15} }\)
= -0.71/0.1936
= -3.6673
degree of freedom = 15 - 1 = 14
we find p value using excel's t distribution function
= T.DIST(3.664,14 2) this is a 2 tailed test
p value = 0.0025
alpha = 0.01
because 0.0025 < 0.01
conclusion
so we reject the claim that the time = 5 minutes since p value is smaller than alpha.
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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Is 900% of 6 less than 10, greater than 10 but less than 100, or greater than 100?
Answers
Answer:
its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10
A number w increased by 6 is at most -30.
Answers
Could be -24 if you are raising the -30 by 6.
This shows a number line. Which point is located at 90 ?
Answers
Answer:
incomplete question bru
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Answers
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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Hint: You should have three pairs of congruent corresponding angles AND three pairs of congruent corresponding sides.
Answers
The corresponding pairs of the two congruent triangles △AEC ≅ △BFD are:
∠A ≅ ∠B∠E ≅ ∠F∠C ≅ ∠DAE ≅ BFEC ≅ FDAC ≅ BDWhat is the congruency of triangles?Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size. You can move, flip, twist, and turn these triangles to produce the same effect.So, the corresponding pairs of the given congruent triangles will be:
We know that all angles and sides are equal.Then, we have:
∠A ≅ ∠B∠E ≅ ∠F∠C ≅ ∠DAE ≅ BFEC ≅ FDAC ≅ BDTherefore, the corresponding pairs of the two congruent triangles △AEC ≅ △BFD are:
∠A ≅ ∠B∠E ≅ ∠F∠C ≅ ∠DAE ≅ BFEC ≅ FDAC ≅ BDKnow more about the congruency of triangles here:
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A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 3,12,14, 5,and 3 respectively. Using percentages, what are the relative frequencies of the five classes?
Answers
the relative frequencies of the five classes in percentages are 8.1% for A, 32.4% for B, 37.8% for C, 13.5% for D, and 8.1% for F respectively.
A frequency table shows the number of occurrences of each class or category in a dataset. To find the relative frequencies of the five classes in percentages, we need to divide the frequency of each class by the total number of observations and multiply by 100.
Here's the calculation:
A: (3 / (3+12+14+5+3)) * 100 = 3 / 37 * 100 = 8.1%
B: (12 / (3+12+14+5+3)) * 100 = 12 / 37 * 100 = 32.4%
C: (14 / (3+12+14+5+3)) * 100 = 14 / 37 * 100 = 37.8%
D: (5 / (3+12+14+5+3)) * 100 = 5 / 37 * 100 = 13.5%
F: (3 / (3+12+14+5+3)) * 100 = 3 / 37 * 100 = 8.1%
So, the relative frequencies of the five classes in percentages are 8.1% for A, 32.4% for B, 37.8% for C, 13.5% for D, and 8.1% for F respectively.
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whats the equation of a line that passes through point (-1,3) with slope of 1
Answers
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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PLEASE PLEASE PLEASE SOMEONE HELP ME PLEASE I BEG U PLEASE PLEASE !!!!!!!
Answers
Answer:
Right ear a.d. = auris dextra
Step-by-step explanation:
mathematics may not have been the best place to ask this question.
Answer:
ad meaning right ear so C
Step-by-step explanation:
How many vertical asymptotes does the graph of this function have? F(x)=2/x(x+1)
Answers
Answer: vertical asymptotes: x=-1,0
horizontal asymptotes: y=0
no oblique asymptotes
Which is the better buy?
7-pound bag of barley for $6.72
312-ounce bag of barley for $28.08
Answers
Answer:
7-pound bag of barley for $6.72 is a better buy.
Step-by-step explanation:
7-pound bag of barley for $6.72
6.72 : 7 = 0.96
check your work: 0.96 x 7 = 6.72
so for the first offer you will be paying $0.96 per pound
312-ounce bag of barley for $28.08
1 pound = 16 ounces
312 ounces = 19.5 pounds
28.08 : 19.5 = 1.44
for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.
hope this helps!
Answer:
7-pound bag of barley for $6.72
Step-by-step explanation:
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Answers
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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Calculate 21+23+25...+81
Answers
Answer:
150
Step-by-step explanation:
Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
What is the answer to this problem
Answers
Answer:
I think its the second one
Step-by-step explanation:
the other ones are fair and have a 50% chance on choosing.
I am so srry if I'm wrong but I'm pretty confident.and if the coin happens to land on heads, well sasha automatically wins and the other two loses.
the other options are all 50/50 with everyone. everyone has an equal chance of getting picked.
apologies if this is wrong though but i’m confident it’s B
Given the table below, write a linear equation that defines the
dependent variable, c, in terms of the independent variable, a.
Someone help I’ll give brainliest only need the answer no need for steps
Answers
Answer:
c = -1.75a + 15
Which of the following examples has a unit rate of 50 miles per hour? Select all that apply.
A) 250 miles in 5 hours
B) 300 miles in 5 hours
C) 200 miles in 4 hours
D) 240 miles in 4 hours
E) 700 miles in 14 hours
Answers
Answer:
I believe your answer would be the following:
A) 250 miles in 5 hours.
C) 200 miles in 4 hours
E) 700 miles in 14 hour
Step-by-step explanation:
Unit rate = 50
A) 250 miles in 5 hours // 50*5 = 250 (CORRECT)
B) 300 miles in 5 hours // 50*5 ≠ 300 (WRONG)
C) 200 miles in 4 hours // 50*4 = 200 (CORRECT)
D) 240 miles in 4 hours // 50*4 ≠ 240 (WRONG)
E) 700 miles in 14 hours // 50*14 = 700 (CORRECT)
Hope this helps! :)
=========================================================
Explanation:
We use this formula
speed = distance/time
to divide each pair of values given.
For choice A, we have speed = distance/time = 250/5 = 50 mph which shows choice A is one of the answers. Choice B doesn't work though because 300/5 = 60 mph. Choice C works since 200/4 = 50 mph.Choice D doesn't work: 240/4 = 60 mphBut choice E does work: 700/14 = 50 mphTo summarize, we got the following speeds
A) 50 mphB) 60 mphC) 50 mphD) 60 mphE) 50 mphIn your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 23%, and the final exam is worth 33%. Compute the weighted average for the following scores: 70 on the lab, 99 on the first major test, 91 on the second major test, and 90 on the final exam
Answers
= 14.7 + 22.77 + 20.93 + 29.7
= 88.1%
write an expression that is equivalent to 1/3(24p-33) -iready
Answers
Answer:
8p - 11
Step-by-step explanation:
Got the same I-Ready question lol
Which ratio is equivalent to 33:11?
24:8
3:22
11:3
Answers
Andy buys x cakes.
Betty buy 4 times as much as Andy
Colin buy 3 times as much as Betty
Each cake costs 65p
The total cost was £52.65
How much cakes did each person buy?
Answers
Each person buys a number of cakes
Andy: 13Betty: 52Colin:16What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Andy buys x cakes, Betty buys 4 times as many cakes as andy, and colin buys 3 more cakes than andy
So,
Andy has = x Cakes
Betty have = 4x Cakes
Clin has = x +3 Cakes
Since each cake costs 65p and the total cost of the cakes is £52.65
thus,
0.65( x + 4x + x +3) = 52.62
x + 4x + x +3 = 81
6x = 78
x = 13
Therefore,
Andy has = 13 cakes
Betty has = 4x = 4*13 = 52 cakes
Colin has = x + 3 = 16 cakes
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What sum of 500+1000
Answers
the answer would be 1500
Convert 6400000 milligrams to kilograms
Answers
Answer:
Your answer is 6.4 kilograms :D
Step-by-step explanation:
Answer:
6.4 kilograms
Step-by-step explanation:
weight converter
mariana and her children went into a movie theater that sells bags of popcorn for $6 each and candies for $4 each. mariana has $80 to spend and must buy at least 16 bags of popcorn and candies altogether. if a represents the number of bags of popcorn purchased and y represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.
As per the given data:
The number of popcorn bags is x
The number of candies is y
The cost of each popcorn bag is $7
The cost of each candy is $4
She has $80 to spend on them
Inequality is the nonequal comparison of two or more variables and numbers.
So the first inequality is
7 x + 4 y ≤ 80
Since she must buy no less than 16 bags of popcorn and candies
The second inequality is
x + y ≥ 16
The red area represents the 1st inequality
The blue area represents the 2nd inequality
The solutions lie in the common part of red and blue colors
One possible solution is ordered pair (9,5)
(Graph attached at the end of solution)
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Which of the following is equal to the expression below?(4 533B. -42C.1415O D. -415
Answers
the image is downloading
please don't close the session
about 80%
katie can build three staircases to make 36 obstacles against the other player. how many staircases will she need to make 24 obstacles?
Answers
Answer:
2 staircases
Step-by-step explanation:
3 : 36
1 : 12
2 : 24
If katie can build three staircases to make 36 obstacles against the other player. Then 2 staircases will she need to make 24 obstacles
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
katie can build three staircases to make 36 obstacles against the other player
We need to find the number of staircases she need to make 24 obstacles.
Let us form a proportional relationship.
Consider x as the number of staircases will she need to make 24 obstacles
3/36=x/24
Apply cross multiplication
3×24=36x
72=36x
Divide both sides by 36
x=2
Hence Katie should have 2 staircases to make 24 obstacles.
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NO LINKS!! URGENT HELP PLEASE!!
Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer. Part 1
Please help me with #22 and 24
Answers
Answer:
22. Congruent traingle
24. Similar traingle
We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.
Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:
Properties of the similar triangle:
Corresponding angles are congruent: The corresponding angles of similar triangles are congruent. This means that if we label the corresponding angles of two similar triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', and angle C is congruent to angle C'.Corresponding sides are proportional: The corresponding sides of similar triangles are proportional. This means that if we label the corresponding sides of two similar triangles as a, b, and c and a', b', and c', respectively, then a:b::a':b' and b:c::b':c'.Ratios of corresponding sides are equal: The ratios of the corresponding sides of similar triangles are equal. This means that a/b = a'/b' and b/c = b'/c'.Perimeters and areas are proportional: The perimeters of similar triangles are proportional to the ratios of their corresponding sides, and the areas are proportional to the ratios of their corresponding sides squared. For example, if the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their perimeters is also 2:3, and the ratio of their areas is 4:9.Height and base are proportional: The height of similar triangles is proportional to the ratios of their corresponding sides. This means that if two similar triangles have heights h and h', respectively, and corresponding sides a and a', then h/h' = a/a'. Similarly, if the triangles have bases b and b', then the ratio of their heights is also b/b'.Properties of the Congruent Triangle:
Corresponding sides and angles are congruent: In congruent triangles, corresponding sides and angles are congruent. This means that if we label the corresponding angles of two congruent triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', angle C is congruent to angle C', and side AB is congruent to side A'B', side AC is congruent to side A'C', and side BC is congruent to side B'C'.Congruent triangles have equal perimeters: Congruent triangles have the same size, so their perimeters are equal.Congruent triangles have equal areas: Congruent triangles have the same size, so their areas are equal.The sum of interior angles is always 180 degrees: The sum of the three interior angles of a triangle is always 180 degrees, regardless of whether the triangle is congruent or similar.The altitude, median, and angle bisector of a triangle are also congruent: In congruent triangles, the altitude, median, and angle bisector of one triangle are congruent to the corresponding altitude, median, and angle bisector of the other triangle.