The total number of a small cubes fit in the box are 729 cubes.
Define the volume of cube?A cube is a three-dimensional shape with six square faces of equal size. The volume of a cube is the amount of space that it occupies, and it can be calculated by multiplying the length of any one side of the cube by itself twice (cubed). Mathematically, the volume of a cube with side length "a" can be expressed as V = a³
We can see in the model figure below,
Small cubes with volume is 1 cm³ So, the side (a) of the small cube is;
Volume = a³
1 cm³ = a³
a = 1 cm
Also, there are 9 small cubes fit from top to bottom, it means the side of large cube is 9 cm (because of the small cube side is 1 cm)
Volume of large cube = total number of small cubes fit in the large cube
Volume of large cube = (side)³ = 9 × 9 × 9 = 729
Therefore, the total number of a small cubes fit in the box are 729 cubes.
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Complete question model-
Am I correct? If not which of the answers is correct?
Answer:
Yea you are right.
Step-by-step explanation:
Please solve (20 points)
Answer:
104.65 m
Step-by-step explanation:
The plane with the smaller angle of depression is closer to the raft.
Taking the tan values of both planes :
Plane 1 (57°)
tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)Plane 2 (48°)
tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)Equate Equations 1 and 2 :
3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 mTaking the sin ratio to find distance :
sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 mthe linear equation y=2x represents the cost y of x pounds of pears. which order pair lies on the graph of the equation? A. (2,4) B. (1,0) C.(10,5) D. (4,12)
Answer:
A. (2, 4)
Step-by-step explanation:
The ordered pairs represent (x, y). Since you have y =2x, this is the same as ...
(x, 2x)
That is, the second number in the pair needs to be twice the first number in the pair. Since you know your times tables, you know that this is not the case for (1, 0), (10, 5) or (4, 12). Those values of x would give (1, 2), (10, 20), (4, 8).
It is the case that you have (x, 2x) for (2, 4).
The point (2, 4) lies on the graph of y = 2x.
You invest $1500 in an account at interest rate r, compounded continuously.Find the time required for the amount to double and triple.(Round your answer to two decimal places). r=0.0355
The time required for the amount to double and triple are 19.53 and 30.95 respectively.
How to find the time required for the amount to double and triple?In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):
\(f(t) = P_{0}e^{rt}\)
Where:
f(t) represents the future value.P₀ represents the principal.r represents the interest rate.t represents the time measured in years.Based on the information provided above, we can reasonably infer and logically deduce that a function for the time required for the amount to double is given by;
\(2(1500) = 1500e^{0.0355t}\\\\3000= 1500e^{0.0355t}\\\\2=e^{0.0355t}\)
Taking the natural log (ln) of both sides of the equation, we have:
0.0355t = ln(2)
Time, t = 19.53
Similarly, a function for the time required for the amount to triple is given by;
\(3(1500) = 1500e^{0.0355t}\\\\4500= 1500e^{0.0355t}\\\\3=e^{0.0355t}\)
Time, t = 30.95
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It costs Neil $2.88 to make two dozen muffins. He sold the muffins for $.80 each. If Neil sold six dozen muffins how much profit did he make from the sale?
Hi!
So for this you need an equation. It will be 72 • 0.8 - 2.88 • 3
this is bc 12 x 6 is 72 and 3 bc 2 x 3 is 6.
so after you solve it you should get : $48.96..Hope this helped! :))
Last year , 375 students attended homecoming dance. The committee expects at least 500 to attend this year’s event. What is the expected cost for refreshments based on expected attendance?
Answer:
2362 dollars for all the students
Step-by-step explanation:
my big brain
Answer:
ya you are right okokgudcv
Assume that the heights of men are normally distributed with a mean of 70.9 inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 71.9 inches. Round to four decimal places.
Answer:
The probability that they have a mean height greater than 71.9 inches
P( x⁻ ≥71.9) = 0.0022
Step-by-step explanation:
Explanation:-
Given mean of the Population μ= 70.9
Standard deviation of the Populationσ = 2.1
Given sample size 'n' =36
let x⁻ be the mean height
given x⁻ =71.9 inches
\(Z=\frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }\)
\(Z=\frac{71.9 -70.9}{\frac{2.1}{\sqrt{36} } } = \frac{1}{0.35} = 2.85\)
The probability that they have a mean height greater than 71.9 inches
P( x⁻ ≥71.9) = P(Z ≥ 2.85)
= 1 - P(Z≤ 2.85)
= 1 - ( 0.5 + A(2.85)
= 0.5 - A( 2.85)
= 0.5 - 0.4978
= 0.0022
The probability that they have a mean height greater than 71.9 inches
P( x⁻ ≥71.9) = 0.0022
Answer:
the answer is 0.0022
Step-by-step explanation:
Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He
randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw
$30 in tokens?
A.1/9
B.2/9
C.1/3
D.4/9
Answer:
b
Step-by-step explanation:
One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)
Side Note: I'd rather not have the answer in a file thank you very much.
Answer:
9 square feet
Step-by-step explanation:
1 acre = 43,560 ft²
1 acre = 4,840 yd²
Since both values are equal to 1 acre, we can set them equal to each other via the property of equality:
43,560 ft² = 4,840 yd²
The question is asking us to find the ft²/yd² ratio, which is found by dividing.
43,560 ft² / 4,840 yd² = 9 ft²/yd² (or 9 square feet is equal to one square yard.)
(If it helps to grasp the concept, we can add a variable representing this ratio to solve for.)
43,560 = 4,840x
43,560 / 4,840 = 9
18% of 200 is between which two numbers?
Answer:
35&37
Step-by-step explanation:
Well 18% of 200 is 36 so...
The mean number of accidents per month at a certain intersection is 1. a) What is the probability that in any given year at least 3 accidents (including 3 accidents) will occur at this intersection? [10 points] b) What’s the mean and variance for the number of accident for a given year? [10 points]
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
(1) mean value = 6
use excel function POISSON(x,mean,cumulative)
set x = 4, mean =6 and cumulative = TRUE
P(X>4) =1 -POISSON(4,6,TRUE) = 0.7149
(2) mean value = 6
use excel function POISSON(x,mean,cumulative)
set x = 1, mean =6 and cumulative = TRUE
P(X \le 1) =POISSON(1,6,TRUE) = 0.0174
What’s the anwser for this. I’m so confused
Answer:
Its A
Step-by-step explanation:
Simplify the expression: 7 + 24 / 6 * 10 *
Answer:
47
Step-by-step explanation:
Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.
Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner will each sibling have to eat tonight?
Answer:
They each had 1/20 of the original meal
Step-by-step explanation:
To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.
0.2 / 4 = 0.05.
Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.
0.05 = 1/20
They each had 1/20 of the original meal
Students in a sixth-grade class were asked which team was their favorite. The results are in the table. Find the number of students who preferred the Tigers to the total number of responses in simplest form. Tigers: 15 students Panthers: 26 students Buccaneers: 9 students
Lin rode her bike 2 miles in 10 minutes. She rode at a constant speed. How long will it take Lin to travel 20 miles?
Answer:
in 20 miles she would have taken her 100 minutes (or 1 hour and 40 mins)
Step-by-step explanation:
Divide 10 by 2 to see how many mins its takes to travel 1 mile which is 5 mins, then multiply 20 by 5 to get 100 minutes
2:10
1:5
2.5/1
your welcome
Which logarithmic equation is equivalent to the exponential equation below?
e^4x = 5
Step-by-step explanation:
e^4x = 5
x = 1/4 × ln(5)
x ÷ 1/4 = ln(5)
x.4 = ln(5)
4x = ln(5)
ln(5) = 4x
Option → D
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
Chris owns a bike rental shop.he rents bikes for $15 an hour. on Friday,he has rented bikes for a total of 52 hours. how much did he make?
Answer:
780
Step-by-step explanation:
15*52=780
Find the average value of the following list of numbers.
20, 25, 7, 27, 18, 17
The average value is
Answer:
19
Step-by-step explanation:
First we need to add all these numbers together
20+25+7+27+18+17=114
Next, we have to divide all these numbers by the number of values there are.
If we count, there are 6 values that we added together.
After that, we divide 114 by 6 to get the answer
114/6=19.
Step-by-step explanation:
this is a college question ???
and you don't know how to do this ?
remember middle school and high school ? besides math classes themselves, did you never track your class scores and such ?
the average or mean value is always the sum of all data points divided by the number of data points.
here we have 6 data points.
the average is
(20+25+7+27+18+17)/6 = 114/6 = 19
The model shows the expression 20+ 16.
Which expression is equivalent to this sum?
4(5)+4
4+5+4
4+(5+4)
5+(4+4)
Help I didn't study
Answer:
4(5)+4 = 24
4+5+4 = 13
4+(5+4) = 13
5+(4+4) = 13
I was having trouble understanding your question; 20+16 = 36. None of the expressions are equivalent to the sum
multiply (3c+2p)(3c-2p) what is the answer?
9514 1404 393
Answer:
9c² -4p²
Step-by-step explanation:
The product of a sum and difference of the same two terms is the difference of their squares:
(3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)
= (3c)² -6cp +6cp -(2p)²
= (3c)² -(2p)² = 9c² -4p²
An alternative sampling method would be to select a stratified random sample of eight apartments, where the
strata are apartments with children and apartments with no children. A stratified random sample of size eight
might include two randomly selected apartments with children and six randomly selected apartments with no
children. In the context of this situation, give one statistical advantage of selecting such a stratified sample as
opposed to a cluster sample of eight apartments using the floors as clusters.The amount of carpet wear could be different for apartments with and without children.
2. The stratified random sample ensures that some apartments with children will be selected.
(a) There are 36 ways to select 8 apartments randomly by cluster sampling method.
(b) Throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.
(a) Given the building has 9 floors which are taken as N=9 clusters.
Each floor has 4 apartments.
It is to select 8 apartments by cluster sampling method.
That is to select a sample of size any n=2 floors(clusters) by cluster sampling method out of the population of N=9 clusters.
By simple random sampling without replacement, there are NCn = 9C2 =36 ways to select 2 clusters.
Hence, there are 36 ways to select 8 apartments randomly by cluster sampling method.
(b) The main benefit of stratified sampling over cluster sampling is that the sample obtained using this method will unquestionably include representations of both features, i.e., apartments with and without children as a full representative of the population.
In contrast, there is no guarantee that the sample of flats with and without children from the cluster sampling approach will accurately reflect both qualities. Sometimes throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.
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The right question is given beow:
CANT YOU HEAR MEEEEEEE CANT YOU SEE MEEEEEEEEEE CAN YOU FEEL MY HARTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
yessssssssss
Step-by-step explanation:
The question is attached in pic.
The laplace transform of f(t) is
F (s) = 2/s³ - 2e^{-2s}/s³ + e^{-2s}/s² + 2e^{-2s}/s - 3e^{-3s}/s² + 7e^{-3s}/s
How to express f(t) in unit step function?Since f(t) = t² 0 < t < 2,
= t - 1 for 2 < t < 3 and
= 7 for t > 3
Since f(t) has discontinuities at t = 0, t = 2, t = 3, expressing f(t) in terms of unit step, we have
t² = t²u(t) - t²u(t - 2)
t - 1 = (t - 1)u(t - 2) - (t - 1)u(t - 3)
= (t - 1 + 1 - 1)u(t - 2) - [(t - 1 + 3 - 3)u(t - 3)]
= (t - 2 + 1)u(t - 2) - [(t - 3 + 2)u(t - 3)]
= (t - 2)u(t - 2) + u(t - 2) - (t - 3)u(t - 3) + 2u(t - 3)
f(t) = 7 = 7u(t - 3)
So, f(t) = t²u(t) - t²u(t - 2) + (t - 2)u(t - 2) + u(t - 2) - (t - 3)u(t - 3) - 2u(t - 3) + 7u(t - 3)
How to find the laplace transform of f(t)\(L[u(t - c)f(t - c)}] = e^{-cs} F(s)\)
and \(L[t^{n}] = \frac{n!}{s^{n + 1} }\)
Taking the laplace transform, we have
L{f(t)} = L{t²u(t)} - L{t²u(t - 2)} + L{(t - 2)u(t - 2)} + L{u(t - 2)} - L{(t - 3)u(t - 3)} - L{2u(t - 3)} + L{7u(t - 3)}
\(F(s) = \frac{2!}{s^{3} } - \frac{e^{-2s} 2!}{s^{3} } + \frac{e^{-2s} 1!}{s^{2} } + \frac{e^{-2s} 1!}{s } - \frac{e^{-3s} 1!}{s^{2} } - \frac{2e^{-3s} 1!}{s^{2} } + \frac{7e^{-3s} 1!}{s} \\= \frac{2!}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{e^{-3s}}{s^{2} } - \frac{2e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)
\(F (s) = \frac{2}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{e^{-3s}}{s^{2} } - \frac{2e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)
So, the laplace transform of f(t) is \(F (s) = \frac{2}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{3e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)
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what is the interior angle sum of 31-gon
Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum of Interior Angles = 29 * 180
Sum of Interior Angles = 5,220
The interior angle sum of 31-gon is A = 5220°
What is the sum of the interior angles of a polygon?
The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the interior angle sum of the polygon be = A
Now , the value of A is calculated by
The number of sides of the polygon n = 31
So , the interior angle sum of the 31-gon is given by the equation
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides , so
Substituting the values in the equation , we get
The value of nθ = 180 ( n - 2 )
The value of nθ = 180 ( 31 - 2 )
The value of nθ = 180 x 29
The value of nθ = 5220°
Therefore , the value of A is 5220°
Hence , The interior angle sum of 31-gon is A = 5220°
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Please help
Which poly nominal has the zeros 1,-2i and 3
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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Mrs. Dern's class is preparing to write reports on the United States. Students must draw from a box the state that they will be assigned to. When it is Jake's turn to draw, there are three western states, one southern state, five midwestern states, and some eastern states remaining in the box. If the probability of drawing an eastern state is 1/2, how many eastern states are in the box?
Answer:
9
Step-by-step explanation:
Add all the states provided which is 9 since it said 1/2 chance answer is 9
Simplify the expression 2y+8(y+1)+5(x+5)
Answer:
\(7x+8y+33\)
Step-by-step explanation:
\(2y+8(y+1)+5(x+5)\\\\2y+(8)(y)+(8)(1)+(5)(x)+(5)(5)\\\\2y+8y+8+5x+25\\\\7x+8y+33\)
Using simulation, what is the probability of pulling a pink star and the coin landing on tails when 17/60 stars and 34/60 on tails