The expression for the total volume of the building is V = L × W × H.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
To write an expression for the total volume of a building, we'll need to consider the dimensions of the building: length (L), width (W), and height (H). The volume of a rectangular building can be calculated using the formula:
Total Volume (V) = Length (L) × Width (W) × Height (H)
So, the expression for the total volume of the building is V = L × W × H.
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find the answer for each of the following, show your work i. how many ways are there to permute the letters in the word HAHAHAAA?
ii. how many ways are there to permute the letters in the word STATISTICS?
Answer:
1) 2016
2) 50400
Step-by-step explanation:
First, find the numbers we need
H = 3
A = 5
total = 8
put them in the right order and calculate
8!/5!(3!) = 2016
do the same for question 2
S = 3
T = 3
A = 1
I = 2
C = 1
total = 10
10!/(3!)(3!)(2!) = 50400
WILL GET BRAINLIEST!!!! I NEED IT BY TODAY!!!!
Answer:
a
Step-by-step explanation:
Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)
HELPPPPPPPP
Answer:
$103
Step-by-step explanation:
Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)
From the above question:
1 square foot = $3.19
32.29 square feet = x
Cross Mulitiply
x = 32.29 × $3.19
x = $103.0051
Approximately to the nearest cent = $103
Therefore, it will cost $103 to purchase the flooring panels
Josiah is going to invest $4,800 and leave it in an account for 6 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Josiah to end up with $5,400?
Answer:
1.963%
Step-by-step explanation:
Use the equation for compound interest
\(A = P(1 + \frac{r}{n})^{nt}\)
\(5400 = 4800(1 + \frac{r}{365})^{(365)(6)}\\5400/4800 = 4800(1 + \frac{r}{365})^{(365)(6)}/4800\\1.125 = (1 + \frac{r}{365})^{2190}\\\sqrt[2190]{1.125} = \sqrt[2190]{ (1 + \frac{r}{365})^{2190}} \\1.0000537836544 = 1 + \frac{r}{365} \\1.0000537836544 -1 = 1 + \frac{r}{365} -1\\.0000537836544 = \frac{r}{365}\\(.0000537836544)(365) = ( \frac{r}{365})(365)\\.019631 = r\)
let be the subset of consisting of all vectors such that and determine if is a subspace of and check the correct answer(s) below. a. is a subpace because it has a zero element. b. is not subspace because it does not have additive closure. c. is not a subspace because it does not have a zero element. d. is a subspace because it can be written as for some matrix .
Let be the subset of consisting of all vectors such that and determine if is a subspace of and check the correct answer(s) below. a. is a subpace because it has a zero element. Option (A)
Let \($S$\) be the subset of \($\mathbb{R}^3$\) consisting of all vectors such that \(x_1 + x_2 + x_3 = 0$.\) To determine if $S$ is a subspace of \($\mathbb{R}^3$\), we need to check the following three conditions:
\($S$\) contains the zero vector\(: $(0,0,0) \in S$ since $0+0+0=0$.\)
$S$ is closed under addition: if\($\mathbf{u}, \mathbf{v} \in S$,\)then \($(u_1+v_1)+(u_2+v_2)+(u_3+v_3) = (u_1+u_2+u_3) + (v_1+v_2+v_3) = 0+0 = 0$, so $\mathbf{u}+\mathbf{v} \in S$.\)
$S$ is closed under scalar multiplication: if\($\mathbf{u} \in S$ and $c$ is\) a scalar, then \(c\mathbf{u} = c(u_1,u_2,u_3) = (cu_1,cu_2,cu_3)$ and $(cu_1+cu_2+cu_3) = c(u_1+u_2+u_3) = c\cdot0 = 0$, so $c\mathbf{u} \in S$.\)
Since all three conditions are satisfied, we conclude that \($S$\) is a subspace of\($\mathbb{R}^3$.\)Therefore, the correct answer is (a) is a subspace because it has a zero element.
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Referring to the image how does 2 become 8?
Answer:
see explanation
Step-by-step explanation:
each term inside the parenthesis is raised to the exponent outsie, that is
(2xy)³
= 2³ × x³ × y³ ← 2³ = 2 × 2 × 2 = 4 × 2 = 8
= 8x³y³
What is the explicit formula for this geometric sequence?
8, 4, 2, 1, ..
Using a significance level of 5%, the appropriate conclusion for a test with a p-value of 0.0421 would be:
A significance level of 5% (more commonly referred to as 95%) corresponds to a statement that (only) a probability of 5% or less is that a particular randomly generated observation is accepted as significant.
In this example, the p-level (the true probability that the observations are randomly generated) is less than 5% (0.0421 <0.05), so we can draw the conclusion that the observations are significant.
p = 0.0421 means that the probability is only 0421/1000. The choice of significance level to reject the null hypothesis is optional. Traditionally, 5%, 1%, and 0.1% levels have been used. In rare situations, a 10% significance level is also used.
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Help me please!!!! I am in need of help!!!
Answer:
lol sorry im dum.b
Step-by-step explanation:
A midwife delivers 10 babies considering a % chance of delivering a boy and 50% chance of delivering a girl, answer the following questions what is the probability that 6 of the babies will be boys?
A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%
The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.
The formula is given by:
P(x) = ⁿCx . P^x . (1 - P)^(n-x)
x = total number of event A
n = number of trials
P = probability of A in a single trial
Parameters given in the problem:
n = 10
x = 6
P = 50% = 0.5
Plug these parameters into the formula:
P(6 boys) = ¹⁰C₆ . (0.5)⁶ . (0.5)⁴
= 0.205 = 20.5%
Hence, the probability that 6 out of 10 babies will be boys is 20.5%
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Can you use SSS to prove congruence?
The SSS(Side-Side-Side) Triangle congruency is proven by following rule.
In SSS (Side-Side-Side) condition the two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.
In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes. A triangle is a closed polygon with three line segments that intersect at each of its three angles.
Two shapes are congruent if their sizes and forms are comparable. Additionally, if two shapes are congruent, then their mirror images are likewise congruent.
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Suppose two cars depart from a four-way intersection at the same time, one heading north and the other heading west. The car heading north travels at the steady speed of 40 ft/sec and the car heading west travels at the steady speed of 64 ft/sec.
When are the two cars 1 mile apart? (Round your answer to one decimal place.)
answer in seconds
50.76922
after 50.8 seconds because
50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles
The same person that called my mom the b word just called me an ahole!
Answer:
call them that back
Step-by-step explanation:
they cant do anything
Lemme at em, they shouldn't be saying them-
What number or square feet is equivalent to 300 km2
Given:
300 km square.
To convert square km to square feet.
\(1km^2=10763910.417\text{square f}eet\)So, 300 square km will be,
\(\begin{gathered} 300\operatorname{km}=300\times10763910.417\text{ square fe}et \\ =3229173125.1\text{ square f}eet \end{gathered}\)Answer:
\(300km^2=3229173125.1\text{ square f}eet\)The average speed on a city street is 35 miles per hour (mph).
Assuming you drive the speed limit, how long will it take you to
drive 7 miles? Use the formula d=rt.
Answer:
Distance-Rate-Time and other Products
In this lesson, we will investigate the relationship between the distance traveled, the rate or speed or travel, and the time that it takes to travel that distance at that rate. We will also look at a few other related products.
Distance = (Rate)(Time)
The equation that relates distance, rate, and time is
d = rt
Where d is the distance traveled, r is the rate, and t is the time. On the CAHSEE exam, you will be given two of these and will be asked to use the above equation to find the third.
Example 1
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
9 miles
Example 2
Elena always rides her bicycle at a speed of 15 miles per hour. On Sunday, she goes on a 24 mile bike ride. How many hours does this ride take?
Solution
The speed of 15 miles per hour is a rate. The key words that tell us that this is a rate are "speed" and "miles per hour". We can write:
r = 15
Next, 24 miles is a distance. We have:
d = 24
Now use the d=rt equation to get
24 = 15t
To solve this, divide both sides by 15 to get
t = 24/15
Both are divisible by 3, so this fraction reduces to
t = 8/5 = 1.6
Elena's ride takes 1.6 hours.
Josh is cutting a 25-inch beard inte tinch sections How many whole sections will the end up with
On a parabola, the extreme point (which is the highest, lowest, or farthest
point left or right) is called the
A. focus
B. vertex
C. directrix
D. center
Answer: B.) vertex
Step-by-step explanation:
On a parabola, the extreme point (which is the highest, lowest, or farthest point left or right) is called the ''Vertex.''
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
To find the extreme point of the parabola.
Now, We know that;
Every parabola has a shape of an U,
Then, they have an extreme point. Depending if the parabola has the formula y = ax² + bx + c or x = ay² + by + c (where a, b and c are constants) and what value constant a has, what kind of extreme point the parabola have.
Hence, On a parabola, the extreme point (which is the highest, lowest, or farthest point left or right) is called the ''Vertex.''
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The diameter of a circle is 18 kilometers. What is the circle's circumference use 3.14 for n
Answer:
56.52km
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius)
= (3.14) X 18
= 56.52 km
9+2 sdl;iaj;olijfa;olkjga;oilkgjvaoge;ilgkjv
Answer:
11
Step-by-step explanation:
Pointing to a photograph, a man said, "I have no brother, and that man's father is my father's son." Whose photograph was it?
The man’s son. Since the man has no brothers and the father of the man in the photograph is the man’s father’s son, the father of the man in the photograph must be the man. That means that the man in the photograph is the man’s son.
what is a requisite you need for the pythagorean theorem?
Answer:
hope this helps!
Step-by-step explanation:
The Pythagorean Theorem is stated as follows: The square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. a and b represent the legs of the right triangle.
What is the basic requirement to apply Pythagoras theorem?
Since both triangles' sides are the same lengths a, b and c, the triangles are congruent and must have the same angles. Therefore, the angle between the side of lengths a and b in the original triangle is a right angle. The above proof of the converse makes use of the Pythagorean theorem itself.
Danielle needs to pay $50.00 to attend her college’s semi-formal. When she works in the dining hall, she makes $20.00 per day plus $6.00 for every additional hour she works. If she wants to earn at least $50.00 by Friday, she thinks that she only needs to work 3 additional hours but her friend Jurrae thinks that she needs to work 5
10. Use Figure 2. 5. Rheanna Boggs, an interior fabricator for a large design firm, is single and claims one allowance.
Each week she pays $45 for medical insurance, $21 for union dues, and $10 for a stock option plan. Her gross
pay is $525. What is her total net pay for the week?
a. $170. 16
b. $334. 34
c. $345. 98
d. $354. 84
The total net pay for the week is $433.Answer: $433 .
Rheanna Boggs, an interior fabricator for a large design firm, pays $45 for medical insurance, $21 for union dues, and $10 for a stock option plan weekly. Her gross pay is $525 and she claims one allowance. So, we need to calculate the total net pay for the week. For this, we need to calculate the total amount of deductions that Rheanna Boggs has to make.
Deductions can be calculated as shown below:$45 + $21 + $10 = $76Total deductions made by Rheanna Boggs = $76Now, we can calculate the taxable income. For this, we need to use Table 2.3. As Rheanna Boggs is single and claims one allowance, we will use the row for "Single" and column for "1" to find the value of withholding allowance.
Taxable income = Gross pay − Deductions − Withholding allowance= $525 − $76 − $77 = $372Now, we can calculate the federal tax. For this, we need to use Table 2.4. As the taxable income is $372 and the number of allowances is 1, we can use the row for "$370 to $374" and column for "1".Federal tax = $16Now, we can calculate the total net pay for the week. This can be calculated as shown below:Total net pay = Gross pay − Deductions − Federal tax= $525 − $76 − $16 = $433Therefore, the total net pay for the week is $433.Answer: $433 .
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In Mountain Trail Mix, 0.5 cup equals 2 servings. Determine the Unit Rate.
Answer:
The Unit Rate = 0.25 cup
Step-by-step explanation:
0.5 cup equals 2 servings.
The Unit Rate = per serving
Per serving = 0.5 cup / 2 serving
= 0.25 cup
Per serving = 0.25 cup
The Unit Rate = 0.25 cup
16 8. If a projectile is fired at an angle 0 and initial velocity v, then the horizontal distance traveled by the projectile is given by D= v² sin cos 0. Express D as a function 20. OA. D= 1 v² sin
The horizontal distance travelled by the projectile D, is given by
D = v²sin(2θ)/g
Where g is the acceleration due to gravity, θ is the angle of projection and v is the velocity of projection.
Therefore, in the case of
D = v² sin θ cos θ given in the question,
D = v² sin(2θ)/2
In the option list given, the closest to this answer is option (A)
D = v²sin(2θ)/2
Therefore, option A is the correct answer.
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You are going on vacation and leaving your dog in a kennel. Kennel A charges $25 per day which includes a one-time grooming treatment. Kennel B charges $20 per day and a one-time fee of $30 for grooming.
Write a system of equations to represent the cost c for d days that your dog will stay
at the kennel.
Answer:
Step-by-step explanation:
Kennel A: c = 25d
Kennel B: c = 30 + 20d
Angel has $60 and his sister has $120. Angel saves $7 per week, and his sister saves $5 per week. Which equation and solution represent the number of weeks, w, it will take for the siblings to have the same amount of money?
A. 7w + 60 = 5w + 120; w = 30
B. 60w + 7 = 120w + 5; w = 30
C. Not here
D. 7w - 60 = 5w - 120; w = 30
Answer:
A. 7w + 60 = 5w + 120; w = 30
Step-by-step explanation:
60 + 7x = 120 + 5x7x - 5x = 120 - 602x = 60x = 30
a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).
Step-by-step explanation:
I DON'T KNOW WHICH ANSWER IS CORRECT .
BUT MY ANSWER CAME THIS .
I HOPE IT WILL HELP YOU.
HAVE A NICE DAY.....
6 is 5% of what number? Please explain
3. (3 pts) Find the general solution of the following homogeneous differential equations. 2xyy' + (x² - y²) = 0
The general solution of the given homogeneous differential equation is:y = ±x√(Cx² + 2)
The given differential equation is: 2xyy' + (x² - y²) = 0
We have to find the general solution of the given homogeneous differential equation. To solve the above differential equation, we will use the substitution method.
Put y = vx and y' = v + xv'
Differentiating both sides w.r.t x: y' = v + xv' ⇒ v' = (y' - v)/x
Differentiating again w.r.t x: y'' = v' + xv'' + v' ⇒ y'' = (y'' - 2y'v + v² + xv')/x
Substituting these values in the given differential equation:
2x(v)(v + xv') + (x² - v²x²) = 0
2v + 2x²v' + x - v² = 0
2x²v' + 2v/x - v³/x = -1/x
We can write the above differential equation as:
2x²dv/dx + 2v/x = v³/x - 1/x
Separating the variables and integrating both sides:
∫dx/x = ∫[v/(v² - 2)]dv/x
⇒ ln |x| + ln |v² - 2| + C
⇒ ln |x(v² - 2)| = ln |Cx|
⇒ v² - 2 = Cx² (where C is a constant)
⇒ v = ±√(Cx² + 2)
Putting the value of v in y = vx, we get:
y = x√(Cx² + 2) and y = -x√(Cx² + 2)
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