A right rectangular prism is packed with cubes of side length fraction 1 over 8 inch. If the prism is packed with 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height, what is the volume of the prism?
Answers
Answer:
768
Step-by-step explanation:
16x8x6=768 because volume equals length times width times height ! :)
Related Questions
Is 6,3 a solution to 4x+5y=-13
Answers
Answer:
No
Step-by-step explanation:
Given:
6,3
4x+5y=-13
Solve:
4(6)+5(3)
24 + 15 = 39
Hence, No 6,3 isn't a solution to 4x+5y= - 13
~lenvy~
an = 57 - 8(n-1), n = 1,2,3...Find the first four term of the sequence given by the following.
Answers
In order to find the first four terms, we just need to apply the values of n in the equation and then calculate the value of an:
\(\begin{gathered} n=1\colon \\ a_1=57-8(1-1) \\ a_1=57-8\cdot0 \\ a_1=57 \\ \\ n=2\colon \\ a_2=57-8(2-1) \\ a_2=57-8\cdot1 \\ a_2=49 \\ \\ n=3\colon \\ a_3=57-8(3-1) \\ a_3=57-8\cdot2 \\ a_3=41 \\ \\ n=4\colon \\ a_4=57-8(4-1) \\ a_4=57-8\cdot3 \\ a_4=57-24 \\ a_4=33 \end{gathered}\)what is the slope of the blue line? what is the slope of the green line?
Answers
Answer:
Blue Line’s Slope: -4/2
Green Line’s Slope: -4/2
Step-by-step explanation:
The slope of the line is the rise over run, or in this case the fall over run.
Hope This Helped!a. What is the nth fraction in the following sequence? 2
1
, 4
1
, 8
1
, 16
1
, 32
1
,… b. What is the sum of the first n of those fractions? To what number is the sum getting closer and closer? Two forces, A=80 N and B=44 N, act in opposite directions on a box, as shown in the diagram. What is the mass of the box (in kg ) if its acceleration is 4 m/s 2
?
Answers
A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.
a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`
Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`
b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)
`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)
`Simplifying:`S_n = 2*(2^n - 1)
`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.
Thus, the sum is getting closer and closer to infinity.
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Someone actually please help me thank you
Answers
If you take 69+x=180 it will make this a lot easier
Simply rearrange it to get x=180-69 and you’ll get 111
Hope this helps
please help I need this today or they will mark me absent today because its the day off but i have homework so please help.
Answers
Answer: E, A and C.
Step-by-step explanation:
The first question would be E because it is the closest to zero. An easy way to this one is to look at A and E because they are obviously the closest to 0, however when you simply A down, it becomes 1/5. 1/5 is larger than 1/8, therefore 1/8 would be the smaller one closer to 0.
The second question would be A and C, or the second answer, because the question is asking for an answer that is less than half. To do this one easily, look at the numerator, and if it's less than half of the denominator (for example in A, 1 is NOT more than half of 3, however in E, 7 is more than half of 12).
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Answers
The standard error of the sample proportion is sqrt[(0.42)(0.58)/400] = 0.032.
Using a 95% confidence level, the critical value is 1.96.
The margin of error is 1.96 * 0.032 = 0.063.
The 95% confidence interval is 0.42 ± 0.063, which is (0.357, 0.483).
Therefore, we can be 95% confident that the true proportion of people who favor the tax plan is between 0.357 and 0.483.
What is the surface area 5mm 5mm 5mm cube
Answers
Answer:
125 mm
Step-by-step explanation:
5mm*5mm*5mm
125mm
» What is 2 to the power of 0? Submit
Answers
Answer:
1
Step-by-step explanation:
Answer:
2⁰ power is equal to 1
Step-by-step explanation:
Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!
A borde of water can fill five cups of capacity 200 ml or four cups of capacity 250 ml. Does the number of cups vary directly or inversely with their capacity? b. How many cups of capacity 100 ml could the bottle fill?
Answers
Part a: As number of cups decreases, the capacity increases; inverse relation.
Part b: 10 number of cups of capacity 100 ml.
Explain about the inverse relation?As one variable component increases, another variable factor decreases, this is known as an inverse connection. The opposite of just a direct relationship is one in which, in the case of y = f(x), y increases when x increases or, in the case of x = f(y), x increases when y increases. In such an inverse relationship, denoted by the formula y = f(x), y would fall as x rises.Part a:
In the given question:
5 cups ---> 200 ml capacity
4 cups --> 250 ml capacity
As the number of cups decreases, the capacity increases.
Thus, its is inverse relation.
Part b: number cups of capacity 100 ml.
5 cups ---> 200 ml capacity
Let 'x' be the number of cups of capacity 100 ml.
Using inverse relation:
5*200 = x*100
x = 10 cups
Thus, 10 number of cups of capacity 100 ml can be filled with bottle fill?.
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Write a real world example, then solve.
5x + 4 = 2x +14
Answers
Answer:
x=10/3
Step-by-step explanation:
Answer: 10/3
Step-by-step explanation:
Let's solve your equation step-by-step.
Step 1: Subtract 2x from both sides.
Step 2: Subtract 4 from both sides.
Step 3: Divide both sides by 3.
Please help! More questions coming too
Answers
Answer:
<
Step-by-step explanation:
3/4 = 0.75
7/8 = 0.875
so 3/4 < 7/8
Emma puts $10,000 in a simple interest account at a bank.
She will earn $1,800 in 4 years.
What is the annual interest rate for the account?
Answers
Answer: Hi Hope This Helps :D
Step-by-step explanation:
We have to calculate the annual interest rate for the account. Formula for the simple interest is : I = P * r * t, where P is the investment, r is the annual interest rate and t is time in years. In this case: 1,800 = 10,000 * r * 4; 1,800 = 40,000 * r; r = 1,800 : 40,000; r = 0.045, or 4.5 %. Answer: The annual interest rate is 4.5 %
The correct answer is 4.5
I hope this helps, Have a great day!!!
The product of two numbers is 48 and the difference of those numbers is 13 what are the numbers?
Answers
Answer:
-3 and -16
Step-by-step explanation:
Difference: -3-(-16)= 13
-3(-16)= 48
1. A nice tree of an undirected graph G = (V, E) is a subset TCE of edges that is acyclic and connected. Prove that: (a) every nice tree of a graph with n vertices has n 1 edges, (b) if TCE is a subse
Answers
(a) Every nice tree of a graph with n vertices has n-1 edges.
(b) TCE is acyclic.
(a) every nice tree of a graph with n vertices has n-1 edges, this can be proven using induction.
Base case: A tree with a single vertex has 0 edges, which is equal to 1-1.Inductive step: Suppose that every tree with k vertices has k-1 edges.
Let T be a tree with k+1 vertices. Since T is connected, there is a vertex v in T that has at least one edge incident to it. Removing v and its incident edges leaves a tree with k vertices. By the inductive hypothesis, this tree has k-1 edges. Thus, T has k edges, which is equal to (k+1)-1.
(b) if TCE is a subset of edges of an undirected graph G=(V, E), such that the degree of each vertex in TCE is at most 2, then TCE is acyclic.
This can be proven by contradiction.
Suppose TCE is not acyclic, so there is a cycle C in TCE. Since the degree of each vertex in TCE is at most 2, C must have at least one edge not in TCE, say e.
Since TCE is connected, there is a path P in TCE that connects the endpoints of e.
Let f be an edge in P that is adjacent to e.
Then C-e+f is a cycle in TCE that is strictly shorter than C, which contradicts the assumption that C is a cycle of maximum length.
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A model that describes the population of a fishery in whichharvesting takes place at a constant rate is given by (dP/dt) = kP- h,
where k and h are positive constants.
(a). Solve the DE subject to P(0) = P0.
(b). Describe the behavior of the population P(t) forincreasing time in three cases P0>h/k, P0=h/k, and0
(c). Use the results from part (b) to determine whether thefish population will ever go extinct in finite time, that is,whether there exists a time T>0 such that P(t) = 0. If thepopulation goes extinct, then find T
Answers
Based on the differential equation a) Solving the DE subject to P(0) = P0 will yield P = ((kP0 - h)e^(kt) + h)/k. b) For the three cases given (P0 > h/k, P0 = h/k, P0 = 0), the behavior of the population P(t) is will be population will grow without bound, the population will remain constant, and the population will decrease and approach zero as t approaches infinity respectively. c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. At T = (1/k)ln(-h/(kP0 - h)) the fish population will go extinct.
(a) To solve the differential equation (dP/dt) = kP - h subject to P(0) = P0, we need to separate the variables and integrate both sides:
(dP/dt) = kP - h
dP/(kP - h) = dt
∫dP/(kP - h) = ∫dt
ln|kP - h| = kt + C
kP - h = e^(kt + C)
P = (e^(kt + C) + h)/k
Using the initial condition P(0) = P0, we can solve for C:
P0 = (e^(k*0 + C) + h)/k
P0 = (e^C + h)/k
e^C = kP0 - h
C = ln(kP0 - h)
Substituting back into the equation for P, we get:
P = (e^(kt + ln(kP0 - h)) + h)/k
P = ((kP0 - h)e^(kt) + h)/k
This is the solution to the differential equation subject to the initial condition P(0) = P0.
(b) The behavior of the population P(t) for increasing time depends on the initial condition P0:
- If P0 > h/k, then the term (kP0 - h)e^(kt) will be positive and will increase exponentially as t increases, so the population will grow without bound.
- If P0 = h/k, then the term (kP0 - h)e^(kt) will be zero and the population will remain constant at P = h/k for all time.
- If P0 < h/k, then the term (kP0 - h)e^(kt) will be negative and will decrease exponentially as t increases, so the population will decrease and approach zero as t approaches infinity.
(c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. From the equation for P, we can see that this will happen if and only if P0 < h/k:
P(T) = ((kP0 - h)e^(kT) + h)/k = 0
(kP0 - h)e^(kT) = -h
e^(kT) = -h/(kP0 - h)
Since the exponential function is always positive, this equation has no solution for P0 > h/k or P0 = h/k. However, if P0 < h/k, then the term (kP0 - h) is negative and the equation has a solution:
kT = ln(-h/(kP0 - h))
T = (1/k)ln(-h/(kP0 - h))
This is the time at which the fish population will go extinct.
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Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
Answers
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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1/3 (3x)(2x-5)(2x-5)=125
Answers
Answer:
the answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Answers
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
x-5(x-1)=x(-2x3) solve the equation
Answers
Answer:
x-5(x-1)=x(-2x3)
x-5x+5=-5x
-4x+5=-5x
-4x+5-5=-5x-5
-4x+5x=-5x+5x-5
x= -5Step-by-step explanation:
PLEASE HELP ME ASAP! THANK YOU
EXPLANATION = BRAINLIEST
The radius of a circle is 4 meters. What is the area of a sector bounded by a 135° arc?
Give the exact answer in simplest form.
Answers
Answer:
The area of the sector of the circle is approximately
Step-by-step explanation:
The given parameters of the circle having a shaded sector are;
The radius of the circle, r = 4 meters
The measure of the arc bounding the sector = 135°
The area of a sector of a circle, 'A', is given as follows;
\(A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2\)
Therefore, the area, 'A' of the given sector of the circle, is given as follows;
\(A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2\)
The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².
I’m not english person. I cannot understand those. Can someone explain some of them please? I’m trying to pass an english math exam..
Answers
Step-by-step explanation:
lo siento, no tengo idea de cómo explicarte esto. Ummm, hay una aplicación que puedes descargar en tu teléfono para tomar una foto de la hoja de trabajo o el papel y luego la traducirá para ti. Se llama buena traducción o algo en. buena suer
Solve -5m2 = -405.
If entering more than one answer, separate the numbers with a comma. So an answer of "9 and 1" would be entered as "9, 1" or "1, 9" (no quotes).
Answers
m^2 = 81
Next, we can take the square root of both sides (remembering to include both the positive and negative square roots since m^2 can be positive or negative):
m = ±9
Therefore, the solutions to the equation -5m^2 = -405 are m = -9 and m = 9.
Kenton watched 2000 adult men and women board a cruise ship. half of the adults were women. if 20$\%$ of the women and 9$\%$ of the men were wearing sunglasses, what was the total number of men and women wearing sunglasses?
Answers
Total number of men and women wearing sunglasses = 290
According to the question,
Total number of men and women = 2000
half of the adults were women = 1/2 × 2000
Number of women = 1000
Number of men = (Total adults) - (Number of women )
Number of men = 2000 - 1000
= 1000
given,
20% of women were wearing sunglasses = 20/100 × 1000
= 200
9% of men were wearing sunglasses = 9/100 × 1000
= 90
Total number of adults wearing glasses = 200 + 90
= 290
What is the percentage?In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction.
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Find the value of x in the figure below 13x+8 2x+7
Answers
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
1/3(2w-6)=-8
pls help
Answers
Answer:
w = - 9
Step-by-step explanation:
\(\frac{1}{3}\) (2w - 6) = - 8 ( multiply both sides by 3 to clear the fraction )
2w - 6 = - 24 ( add 6 to both sides )
2w = - 18 ( divide both sides by 2 )
w = - 9
Answer:
-9
Step-by-step explanation:
This is the same thing as \(\frac{1}{3}(2w-6)=-8\)
\(\frac{2w-6}{3} =-8\)
Multiply both sides by 3 to get rid of the denominator
\((3)\frac{2w-6}{3} =-8(3)\)
\(2w-6=-24\)
Add 6 to both sides
\(2w=-18\)
Divide both sides by 2 to isolate \(w\)
\(w=-9\)
Choose the best compatible numbers to find an estimated product or quotient.
48 × 29
A. 50 × 30 = 1,500
B. 40 × 30 = 1,200
C. 50 × 20 = 1,000
D. 50 × 25 = 1,25
Answers
Help me please I need help in this math
Answers
Answer:
Step-by-step explanation:
AB
away fram house
2km 4mins
rate: 1km\minute
BC
away from house
5km 6mins
rate:0.83km\minute
CD
niether
0km 9mins
no rate
DE
toward house
6km 15mins
0.4km\minute
Integral C of 1/z^2 -2i where C is the right half of the circle |z|=.6 from z=-6i to z=6i find upper bound?
Answers
The integral over the given path C evaluates to -3.33i, and taking the absolute value gives the answer of 3.33.
1. The parameterization of the right half of the circle is given by
\(z = 0.6e^{i\theta}\)
Where θ is restricted to 0 ≤ θ ≤ π.
2. Therefore, we have:
\(\int C [1/z^2 - 2i] dz = \int[0,\pi] [1/(0.6e^{i\theta})^2 - 2i] [(0.6i)e^{i\theta}] d\theta\)
\(= -1/0.36 \int[0,\pi] (0.6i) e^{-i\theta} d\theta\)
3. The integral over [0, π] of
\(e^{-i\theta}\) is \(\int[0,\pi] e^{-i\theta} d\theta\)
\(= - e^{-i\pi} + 1\\=2\)
Therefore we have:
\(=-1/0.36 \int[0,\pi] (0.6i) e^{-i\theta} d\theta\)
\(= -1/0.36 [0.6i] \int[0,\pi] e^{-i\theta} d\theta\)
= -1/0.36 (0.6i) (2)
= -3.33i
4. The upper bound is |-3.33i| = 3.33.
Therefore, the answer is 3.33.
The integral over the given path C evaluates to -3.33i, and taking the absolute value gives the answer of 3.33.
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An____is an outcome of a population that has some probability of being selected.
Answers
An "event" is an outcome of a population that has some probability of being selected.
In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.
For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.
Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.
In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.
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An "outcome" is an outcome of a population that has some probability of being selected.
An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.
When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.
In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.
For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.
In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.
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