Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches
Answer:
D. 3120
Step-by-step explanation:
How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.
For Part B: Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?
Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.
What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!
8*13=104
6(104)=624
624+240=864
Find the coordinate vector [Bold x ]Subscript Upper B of x relative to the given basis BequalsStartSet Bold b 1 comma Bold b 2 comma Bold b 3 EndSet.
Answer:
3
Step-by-step explanation:
3
Which property of multiplication is shown?
6 x 5 = 5 x 6
Answer:
Commutative Property of Multiplication
I hope this helps you :D
Commutative
The commutative property tells us that two addition and multiplication sentences are equal no matter the order.
For example:
3+4=4+3
6 x 5= 5 x 6
Hope this helps. Please give brainiest.
Solve using the tangent formula(real answers please)
Answer:
21.17
Step-by-step explanation:
tan= opposite/ adjacent
tan(36)= x/29
0.73= x/29
x= 21.17
A cubic root function has a domain of x≥−3 and a range of y≥−1. What is the range of its inverse?
In general, if the range of a function is y≥−1, its inverse has a domain of y≥−1. So, the range of the inverse of the cubic root function is y≥−1.
How do we know this?The range of a cubic root function becomes the domain of a cube function and vice versa since a cubic root function is an inverse function of a cube function. Therefore, the cube function's range is x3 if the cubic root function's domain is x3.
A function's inverse typically has a domain of y1 if its range is y1. Therefore, y1 is the domain of the inverse of the cubic root function.
Describe a function.
A function is a mathematical relationship between a domain—a set of inputs—and a range—a set of outputs. Each input in the domain is given a distinct output, known as the function value, by a function. An equation or graph can be used to depict the function value.
A function is typically represented symbolically by an equation that describes the relationship between the inputs and outputs and a letter, like f or g, as well as the letter. For instance, the equation of a function that accepts a value of x as input and produces its square is f(x) = x2.
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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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A salesperson made a sale worth $17,000.00 and his commission is 2% on the sale. How much commission will he get?
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
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\(\large \bold {ANSWER}\)
2% of $17,000 are 340.\(\large \bold {SOLUTION}\)
Well, as we are going to work with percentage, there are two ways to do this. Percentage is a ratio of a number by 100. Since it's a ratio with the number 100, I can divide the percentage value I want to know by 100 and then I multiply it by the value where I want to know the percentage. Another way would be using rule of 3, I'll do it both ways, it will generate the same result.
\(\begin{gathered}\frac{2}{100}=0,02\\ 0,02*17.000=340\end{gathered}\)
Now let's do it with the rule of 3.
\(\dfrac{17.000}{x} \large \text{$\searrow\!\!\!\!\!\!\nearrow\!\!\!\!\!$}\normalsize= \dfrac{100}{2}\)
\(\begin{gathered}100x=17.000*2\\100x=34.000\\x=\frac{34.000}{100}=340\end{gathered}\)
Hence, the 2% of $17,000 are 340.
help with this i dont understand please
Answer:
see explanation
Step-by-step explanation:
The rule explains what happens to the input value in order to obtain the output.
input = 4 , then divide by 4
4 ÷ 4 = 1 , then add 2
1 + 2 = 3
---------------------------------------
input = 6 , divide by 4
6 ÷ 4 = 1,5 . now add 2
1.5 + 2 = 3.5
-----------------------------------------
input = 8 , divide by 4
8 ÷ 4 = 2 , now add 2
2 + 2 = 4
-------------------------------------------
input = 10 , divide by 4
10 ÷ 4 = 2.5 , now add 2
2.5 + 2 = 4.5
--------------------------------------------
input | 0 | 2 | 4 | 6 | 8 | 10
------------------------------------------
output| 0 | 2.5 | 3 | 3.5 | 4 | 4.5
Answer:
Ok, Dear This is the most easy question.
Focus with me , Ill tell you the answer and explain it
First answer :3
Secound answer:3.5
Third answer:4
Last one :4.5
Step-by-step explanation:
So Baisicly,
First answer : We Devide 4 by 4 so its equal to 1 and then we add 2 then its equal to 3.
Secound answer: We divide 6 by 4 so it becomes 1.5 and then add 2 so itll become 3.5.
Thid answer: We divide 4 by 8 and so it becomes equal to 2 and then we add 2 so its 4.
Last one: We divide 4 by 10 and so it becomes 2.5 and then we add 2 so itll become 4.5.
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
In a geometric sequence, the first term is 4 and the common ratio is -3.
The fifth term of this sequence is
The fifth term of the geometric sequence is 324.
To find the fifth term of the geometric sequence with a first term of 4 and a common ratio of -3, we can use the formula for the nth term of a geometric sequence.
The formula for the nth term of a geometric sequence is given by:
\(a_n = a_1 \times r^{(n-1)\)
Where:
\(a_n\) represents the nth term of the sequence,
\(a_1\) is the first term of the sequence,
r is the common ratio of the sequence, and
n is the position of the term we want to find.
In this case, we are looking for the fifth term (n = 5), the first term is 4 (a_1 = 4), and the common ratio is -3 (r = -3).
Plugging these values into the formula, we have:
\(a_5 = 4 \times (-3)^{(5-1)\)
Simplifying the exponent:
\(a_5 = 4 \times (-3)^4\)
Calculating the value of the exponent:
\(a_5 = 4 \times 81\)
\(a_5 = 324\)
Therefore, the fifth term of the geometric sequence is 324.
It's important to note that the common ratio being negative (-3) indicates that the terms in the sequence alternate in sign.
In this case, the sequence would be: 4, -12, 36, -108, 324.
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-10x^2-4x+2=0 real number solutions
Answer:
2 real solutions
Step-by-step explanation:
a=-10, b=-4, c=2
(-4)^2-4x(-10)x2=96
Which graph has a domain of -∞ < x < ∞ and a range of -∞ < y
The graph of the option in the question has a domain of -∞ < x < 3.5.
Please find attached the drawing of a graph that has a domain of -∞ < x < ∞ Which method can be used to find the graph that has a domain of -∞ < x < ∞?The domain of a graph are the possible x-values that can be obtained from the graph.
A graph that has a domain given by the inequality, -∞ < x < ∞ does not have a vertical asymptote.
An asymptote is a straight line to which a graph approaches, as either the x or y-value approaches infinity.
The given graph has a vertical asymptote at y ≈ 3.5
The domain of the given graph is therefore, -∞ < x < 3.5
Similarly, the graph has a horizontal asymptote at x ≈ 3
The range of the given graph is therefore, -∞ < y < 3.
A graph that has a domain of -∞ < x < ∞, extends to infinity to the left and the right of the graph.
A function that has a graph with a domain of -∞ < x < ∞ is one of direct proportionality.
An example is, y = x
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ill give brainless if you get right
Answer:
16%
Step-by-step explanation:
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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Hello can someone help me with this please
Answer:
well there are eight total red cookies and there been two that had been bitten out of already that makes the ration 2:8
1. What kind of correlation is shown? (see #1 above)
O positive
negative
no correlation
O constant correlation
adult tickets to the game are sold for $7 and student tickets are sold for $5. what combination of tickets must be sold to have total sales of at least $5000?
The combination of tickets that must be sold to have total sales of at least $5000 is 7x + 5y ≥ 5000
How to construct inequality?
The situation forms an inequality. Inequality expression has <, >, ≤ or ≥. Therefore,
let
x = number of adult ticket sold
y = number of students ticket sold
Therefore, the combination of tickets must be sold to have total sales of at least $5000 is as follows:
7x + 5y ≥ 5000
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Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 16 blue and 4 green beads. Based on these results, what is most likely the number of blue beads in the bag?
Answer:
The answer is 40 because you have a ratio of 4:1 (16:4). If you multiply by ten, it becomes 40:10.
Step-by-step explanation:
Answer:
30 red and 20 yellow as 9 bead and 6 bead is the ratio of 3:2 50 in the ratio of 3:2 is 30=red and 20=yellow
Step-by-step explanation:
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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You have a summer job that pays time and a half for overtime. That means if you work more than 40
hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.
Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.
How much will you get payed if you work 47 hours?
Answer:
$522
Step-by-step explanation:
simplify (-1 1/2) ÷ 3/4 x -2/3
Answer:
Step-by-step explanation:
1\(\frac{1}{2}\)=1×\(\frac{2}{2}\), +\(\frac{1}{2}\)
(-\(\frac{3}{2}\))÷\(\frac{3}{4}\)×(-\(\frac{2}{3}\))
\(\frac{3}{2}\)×\(\frac{4}{3}\)×\(\frac{2}{3}\)
\(\frac{1}{2}\)×4×\(\frac{1}{3}\)
4×\(\frac{1}{3}\)=\(\frac{1}{3}\)+\(\frac{1}{3}\)+\(\frac{1}{3}\)+\(\frac{1}{3}\)
=\(\frac{4}{3}\)
Which of the following is a Pythagorean triple?
A. (5, 5, 10)
O B. (3,4,6)
C. (6, 8, 10)
D. (10, 12, 15)
Answer:
its c
Step-by-step explanation:
helpp me I'm almost done with hwww
Answer:
B
Step-by-step explanation:
The parenthesis will go away because there is nothing for them to be multipled by
The results of an experiment are shown below. Calculate E, the expected value of the experiment. Write your answer as a decimal.This is chart that goes with problemOutcome Probability 2 1/104 3/106 2/108 1/1010 3/10
As per given by the question,
There are given that the value of outcome and the value of probability.
Now,
According to the given value,
calculate the expected value of experiment
Then,
FRom the concept for calculate the expected value;
\(E=x_1\times f(x)+x_2\times f(x)+x_3\times f(x)+x_4\times f(x)+x_5\times f(x)\)Where, x term are value of outcome and f(x) terms are value of probability.
Then,
Put all the value in above concept,
So,
\(\begin{gathered} E=x_1\times f(x)+x_2\times f(x)+x_3\times f(x)+x_4\times f(x)+x_5\times f(x) \\ E=2_{}\times\frac{1}{10}+4\times\frac{3}{10}+6_{}\times\frac{2}{10}+8\times\frac{1}{10}+10\times\frac{3}{10} \end{gathered}\)Then,
\(\begin{gathered} E=2_{}\times\frac{1}{10}+4\times\frac{3}{10}+6_{}\times\frac{2}{10}+8\times\frac{1}{10}+10\times\frac{3}{10} \\ E=\frac{1}{5}+\frac{6}{5}+\frac{6}{5}+\frac{4}{5}+3 \\ E=\frac{32}{5} \\ E=6.4 \end{gathered}\)Hence, the value of E is 6.4.
Find the sum of the following expressions: (10.2x - 3.6) + (-5.7x - 1.5)
Answer:
0.6
Step-by-step explanation:
-4.5-5.1=0.6
pls help mee I dont k ow this and if anyone is smort enough can you help me with the 9ther questions (5 i total my last redo)
Answer:
c
Step-by-step explanation:
I think that is the answer
Answer:
c
Step-by-step explanation:
it is equal to.
If a line has an x-intercept at =
3 and a y-intercept at y = – 5, find its equation in the form
y = mx + b.
y
Answer:
y = 5/3x - 5
Step-by-step explanation:
y = mx + b
b = y-intercept
m = slope
y = mx - 5
plug in the x-intercept
0 = m(3) - 5
5 = 3m
m = 5/3
y = 5/3x - 5
graph is below, both intercepts are on the line
Two students, Student A and Student B, claim to know the correct representation of the
expression - (3t).
9
У • Student A represents the expression as the product of 9 and y times
the product of 3 and t. • Student B represents the expression as the quotient of 9 and y times
the sum of 3 and t.
Both students' claims are incorrect. What makes each representation incorrect?
Explain your answer.
Both students' claims are incorrect because the correct expression is - product of 9 and the product of 3 and t gets divided by y.
Explain the term variable expression?A sign for a number is called a variable. The variable in the equation 8x + 17 is called x. Y is the variable with in equation = 25. Letters are not required for variables; for instance, the variable is present in the statement 6 + 2.Regarding the posed issue:
According to Student A, the statement is written as 9 times y times 3 times t.Student B writes the calculation as the sum of 3 and t times the product of the quotient of 9 and y.The given equation: 9(3t)/ y
It is clear that 9, 3 and 't' are in the multiplication and y is with the division of the that.
Thus, both students' claims are incorrect because the correct expression is - product of 9 and the product of 3 and t gets divided by y.
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Helppp please!!!!!!