The graph shows the number of cases of bottles of water and the total number of bottles of water.
Bottles of Water
Write an equation that you can use to determine the number of bottles of water in the store if you know then number of cases of water.
Answers
Answer:
b = 24c
Step-by-step explanation:
Related Questions
The distance s s that an object falls varies directly with the square of time, t t, of the fall. If an object falls 16 16 feet in one second, how long for it to fall 256 256 feet
Answers
Answer:
It will take 16 seconds to fall 256 feet.
Step-by-step explanation:
The distance s that an object falls varies directly with the square of time t of the fall i.e.
\(s=kt\)
Where
k is the constant of proportionality
An object falls 16 feet in one second, it means,
16 feet = 1 second
1 feet = (1/16) seconds
To fall 256 feet,
\(t=\dfrac{256}{16}\\\\t=16\ s\)
So, it will take 16 seconds to fall 256 feet.
select the correct answer from each drop-down menu.
A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use. What is the area of the tarp?
To find the height, first find that is
. This means the height of the trapezoid is approximately
feet. So, the area of the tarp is approximately
square
Answers
The height of the trapezoidal is 4.33 feet. Then the area of the tarp to cover the pool is 51.96 square feet.
What is a trapezoidal?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoidal, one pair of opposite sides are parallel.
A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use.
Then the area of the trapezoidal will be
Area = 0.5(sum of parallel sides) height
Then the height of the trapezoidal will be
\(\rm h = 5 \times \sin 60 \\\\h = 4.33 \ ft\)
Then the area of the trapezoidal will be
Area = 0.5 × (10 + 12) × 4.33
Area = 51.96 ft²
The area of the tarp to cover the pool is 51.96 square feet.
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Answer:
1. 120 degrees
2. 4.3
3. 47.3
Step-by-step explanation:
PLATO/EDMENTUM
Select all that are true In an MDP, the optimal policy for a given state s is unique The problem of determining the value of a state is solved recursively by value iteration algorithm For a given MDP, the value function V * (s) of each state is known a priori V* (s) = 25, T (s, a, s') [R (s, a, s') +yV* (s')] Q* (s, a) = 2,,T (s, a, s') [R (s, a, s') + yV* (s')] X
Answers
In an MDP (Markov Decision Process), the following statements are true:
The optimal policy for a given state s is unique.
The problem of determining the value of a state is solved recursively by the value iteration algorithm.
The optimal policy for a given state in an MDP refers to the best course of action to take from that state in order to maximize expected rewards or outcomes. This policy is unique because, given a specific state, there is a single action or set of actions that yields the highest expected value.
The value iteration algorithm is a dynamic programming method used to determine the value of each state in an MDP. It starts with an initial estimate of the state values and then iteratively updates them until convergence. This recursive process involves considering the immediate rewards and expected future rewards obtained by transitioning from one state to another, following the optimal policy. Through this algorithm, the values of states are refined and converge to their optimal values.
The third statement, "V* (s) = 25, T (s, a, s') [R (s, a, s') + yV* (s')]," represents the equation for calculating the value function V*(s) of each state in an MDP. It states that the value of a state is determined based on the transition probabilities T(s, a, s'), immediate rewards R(s, a, s'), discount factor y, and the value of the next state V*(s'). This equation allows us to compute the value of a state by considering the expected rewards and future values.
The fourth statement, "Q* (s, a) = ∑T (s, a, s') [R (s, a, s') + yV* (s')]," represents the equation for calculating the action-value function Q*(s, a) in an MDP. It calculates the expected value of taking action a in state s, considering the transition probabilities, immediate rewards, discount factor, and the value of the next state. However, the specific notation given in the statement, with "2,," is incomplete or incorrect, making it an invalid equation.
In summary, the optimal policy for a given state in an MDP is unique, and the value of each state is determined recursively using the value iteration algorithm. The value function V*(s) and the action-value function Q*(s, a) play key roles in evaluating the expected rewards and future values in an MDP.
Question 1 (1 point)
A decorator is wallpapering a wall with a circular window of diameter 1.00 m.What is the
area of the wall in square feet? (1 m - 3.2808 feet)
3
Answers
Answer:
95.875 \(ft^{2}\)
Step-by-step explanation:
1.) Calculate the area of the trapezoid
A(trapezoid) = (1/2)*(base1 + base2)*h = (1/2)*(2.6+3.6)*3 = (1/2)*6.2*3 = 9.3
2.) Calculate the area of the circle
radius = (1/2)*(diameter) = (1/2)*1 = 0.5
A(circle) = (1/2)*\(\pi\)*\(r^{2}\) = (1/2)*\(\pi\)*(\(0.5^{2}\)) = (1/2)*\(\pi\)*0.25 = 0.125*\(\pi\) = 0.392699
3.) Because the area of the circle is not included in the wall, subtract the area of the circle from the area of the trapezoid:
A(trapezoid)-A(circle) = 9.3-0.392699 = 8.9073 \(m^{2}\)
4.) Convert to \(ft^{2}\):
Because 3.2808 feet are in a meter and the unit of the answer is in \(m^{2}\), we need to multiply the answer by (\(3.2808^{2}\)) to get to \(ft^{2}\).
8.9073*(\(3.2808^{2}\)) = 8.9073*10.7636 = 95.875 \(ft^{2}\)
Solve the problem. Find \( k \) such that the line \( -k x+21 y=4 \) is parallel to the line through \( (5,-8) \) and \( (2,4) \). \[ \begin{array}{l} k=-84 \\ k=-86 \\ k=-83 \\ k=-83.5 \end{array} \]
Answers
The slope of the given line \(-kx + 21y = 4\) can be determined by rearranging it into the slope-intercept form \(y = mx + b\), where \(m\) represents the slope. We can rewrite the equation as:
\[21y = kx + 4 \Rightarrow y = \frac{k}{21}x + \frac{4}{21}\]
From this form, we can see that the slope of the given line is \(m = \frac{k}{21}\).
Now, let's find the slope of the line passing through \((5, -8)\) and \((2, 4)\). The slope of a line can be calculated using the formula:
\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\]
Substituting the coordinates, we have:
\[m = \frac{{4 - (-8)}}{{2 - 5}} = \frac{{12}}{{-3}} = -4\]
Since the given line is parallel to the line passing through the given points, the slopes of both lines should be equal. Therefore, we can set \(\frac{k}{21} = -4\) and solve for \(k\).
\[\frac{k}{21} = -4 \Rightarrow k = -4 \times 21 = -84\]
Therefore, the value of \(k\) that satisfies the condition is \(k = -84\).
What is the area of trapezoid ABCE?A20 mB16 mEDC25 msq m
Answers
Given data:
The given figure of the trapezium.
The expression for the area of the trapezium is,
\(\begin{gathered} A=\frac{1}{2}(20\text{ m+25 m)(16 m)} \\ =360m^2 \end{gathered}\)Thus, the area of the given trapezium is 360 sq-m.
please help
I put a photo
Answers
Answer:
\(\sf slope: \dfrac{5}{4}\)
\(\sf y-intercept: 0\)
explanation:
comparing with the formula: y = mx + b
Here the input equation: y = 5/4 x + 0
\(\hookrightarrow\) m = 5/4 and b = 0
You have 15 marbles and three jars labeled A, B, and C. How many ways can you put the marbles into the jars... a. if each marble is different? b. if each marble is the same? c. if each marble is the same and each jar must have at least two marbles? if each marble is the same but each jar can have at most 6 marbles? e. if you have 10 identical red marbles and 5 identical blue marbles?
Answers
If each marble is different: 14,348,907 ways.
If each marble is the same: 136 ways.
If each marble is the same and each jar must have at least two marbles: 126 ways.
If each marble is the same but each jar can have at most 6 marbles: 324 ways.
If you have 10 identical red marbles and 5 identical blue marbles: 63,063 ways.
a. If each marble is different, the number of ways to put the marbles into the jars can be calculated using the concept of combinations. Each marble has three choices of jars (A, B, or C), and since the marbles are different, the order does not matter. Therefore, the number of ways is calculated by 3^15, which equals 14,348,907.b. If each marble is the same, the number of ways to put the marbles into the jars can be determined by using the concept of partitions. This is equivalent to finding the number of ways to distribute 15 identical marbles into three jars. This can be solved using a combinatorial technique called "stars and bars." The formula for distributing indistinguishable objects into distinguishable containers gives us the result of C(15+3-1, 3-1) = C(17, 2) = 136.c. If each marble is the same and each jar must have at least two marbles, we can subtract the cases where a jar has less than two marbles from the previous result. This can be calculated by subtracting the number of ways where at least one jar has fewer than two marbles from the total. There are two cases to consider: one jar with one marble and one jar with zero marbles. For the first case, we can choose the jar in 3 ways, and for the second case, we can choose the jar in 3 ways and distribute the remaining 12 marbles into the other two jars. So, the number of ways is 136 - (3 + 3*2) = 126.d. If each marble is the same but each jar can have at most 6 marbles, we can approach this problem by using generating functions. We can find the coefficient of the term x^15 in the expansion of (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)^3. After evaluating the expression, we find that the coefficient of x^15 is 324.e. If you have 10 identical red marbles and 5 identical blue marbles, the number of ways to put them into the jars can be calculated using the concept of combinations. Each marble has three choices of jars (A, B, or C), and since the marbles of the same color are identical, we need to consider the combinations of the red and blue marbles separately. The number of ways to distribute the red marbles is C(15, 10) = 3003, and the number of ways to distribute the blue marbles is C(5+3-1, 3-1) = C(7, 2) = 21. Therefore, the total number of ways is 3003 * 21 = 63,063.For more questions on marble
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what’s 75 percent of 120
Answers
Answer:
90
Step-by-step explanation:
q
Multiply 75 by 100 and divide it by 120z
What is the range of the function shown in the graph below?
12
10
9
8
6
5
4
3
2
-12-11-10-9-8-7-6
1 2 3 4 5 6 7 8 9 10 11 12
8
-9
-10
56
-12
Answers
Answer:
The question is Given that we should range the graph below: 12,10,9,8,6,5,4,3,2
-12-11-10-9-8-7-6
1 2 3 4 5 6 7 8 9 10 11 12
8
-9
-10
56
-12
and the ranging of my answer is that
-12
-10
-9
-8
-6
-5
-4
-3
-2
-1.
1 2 3 4 5 6 8 8 10 12
12
10
9
8
6
5
4
The range of the given function \(y = -e^x\) can be represented in set notation as follows:
Range: {y | y ≤ 0}
As per the shown graph, the given function is \(y = -e^x\) , which represents an exponential decay.
As x increases, the value of \(-e^x\) decreases rapidly.
Consequently, the range of the function is all real numbers less than or equal to zero.
Here, the graph of this function forms a curve that approaches the x-axis but never intersects or goes above it.
The function has no upper bound but approaches zero as x approaches negative infinity.
However, it never reaches zero or any positive value, resulting in a range that consists of all real numbers less than or equal to zero.
The range of the given function \(y = -e^x\) can be represented in set notation as follows:
Range: {y | y ≤ 0}
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PLEASE HELP!!!
I NEED THIS ASAP
Answers
Answer:
d. 132
Step-by-step explanation:
12 + 8 x 15
do 8 x 15 first because PEMDAS
12 + 120
132
- Use the remainder thrm to determine if (x-2) is a
factor of f(x) = (3x4-3x³-9x² + 5x - 2) what is the remainder?
Answers
(x-2) is not a factor of f(\(x\)) = \(3x^{4}-3x^{3}-9x^{2} +5x-2\).
What is a remainder theorem?Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a) that isn't essentially an element of the polynomial, you will find a smaller polynomial along with a remainder.
The Remainder Theorem: If (x-a) is a factor of the f(x) then f(a) = 0
Here,
f(\(x\)) = \(3x^{4}-3x^{3}-9x^{2} +5x-2\)
substitute a = 2
\(f(2)=3(2^{4}) -3(2) ^{3}-9(2)^{2}+5(2)-2\)
= 48-24-36+10-2
= 32-36
f(2) = -4
f(2) \(\neq 0\)
Hence, (x-2) is not a factor of f(\(x\)) = \(3x^{4}-3x^{3}-9x^{2} +5x-2\).
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determine the solution of the following simultaneous equations by cramer’s rule. 1 5 2 5 x x x x 2 4 20 4 2 10
Answers
The solution to the given simultaneous equations using Cramer's Rule is:
x = 4/17
y = 0
z = 20/17
To solve the simultaneous equations using Cramer's Rule, we need to set up the matrix equation and calculate determinants. Let's denote the variables as x, y, and z.
The given system of equations can be represented in matrix form as:
| 1 5 2 | | x | | x |
| | * | | = | |
| 2 4 20 | | y | | x |
| | | | = | |
| 4 2 10 | | z | | x |
To solve for the variables x, y, and z, we will use Cramer's Rule, which states that the solution is obtained by dividing the determinant of the coefficient matrix with the determinant of the main matrix.
Step 1: Calculate the determinant of the coefficient matrix (D):
D = | 1 5 2 |
| 2 4 20 |
| 4 2 10 |
D = (1*(410 - 220)) - (5*(210 - 44)) + (2*(22 - 44))
D = (-16) - (40) + (-12)
D = -68
Step 2: Calculate the determinant of the matrix replacing the x-column with the constant terms (Dx):
Dx = | x 5 2 |
| x 4 20 |
| x 2 10 |
Dx = (x*(410 - 220)) - (5*(x10 - 220)) + (2*(x2 - 410))
Dx = (-28x) + (100x) - (76x)
Dx = -4x
Step 3: Calculate the determinant of the matrix replacing the y-column with the constant terms (Dy):
Dy = | 1 x 2 |
| 2 x 20 |
| 4 x 10 |
Dy = (1*(x10 - 220)) - (x*(210 - 44)) + (4*(2x - 410))
Dy = (-40x) + (56x) - (16x)
Dy = 0
Step 4: Calculate the determinant of the matrix replacing the z-column with the constant terms (Dz):
Dz = | 1 5 x |
| 2 4 x |
| 4 2 x |
Dz = (1*(4x - 2x)) - (5*(2x - 4x)) + (x*(22 - 44))
Dz = (2x) - (10x) - (12x)
Dz = -20x
Step 5: Solve for the variables:
x = Dx / D = (-4x) / (-68) = 4/17
y = Dy / D = 0 / (-68) = 0
z = Dz / D = (-20x) / (-68) = 20/17
Therefore, the solution to the given simultaneous equations using Cramer's Rule is:
x = 4/17
y = 0
z = 20/17
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using the p-value rule for a population proportion or mean, if the level of significance is less than the p-value, the null hypothesis is rejected. group startstrue or false
Answers
The given statement "Using p-value rule for a population proportion or mean, if the level of significance is less than p-value, null hypothesis is rejected." is True because the hypothesis is rejected in this case.
In hypothesis testing, the p-value is the probability of observing a test statistic as extreme as, or more extreme than, the observed test statistic, assuming that the null hypothesis is true. The level of significance, denoted by alpha, is the maximum probability of rejecting the null hypothesis when it is actually true.
If the p-value is less than the level of significance, it means that the observed test statistic is unlikely to have occurred by chance alone, assuming the null hypothesis is true. Therefore, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.
For example, suppose we are testing the hypothesis that the population mean is equal to a certain value. If the p-value is 0.02 and the level of significance is 0.05, we would reject the null hypothesis because the p-value is less than the level of significance.
This means that there is strong evidence against the null hypothesis and we can conclude that the population mean is likely different from the hypothesized value.
In summary, if the level of significance is less than the p-value, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.
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The nth term of a geometric sequence is given by an=27 (0.1)^n-1 use the formula for the sum of a geometric series to find the sum of the first 10 terms of this sequence
Answers
Answer:
29.999999997
Step-by-step explanation:
Comparing the given formula to the general formula for the terms of a geometric sequence ...
an = a1·r^(n-1)
we see that ...
a1 = 27
r = 0.1
The formula for the sum of n terms of a geometric sequence is ...
Sn = a1·(1 -r^n)/(1 -r)
The sum of 10 terms of this sequence is ...
S10 = 27·(1 -0.1^10)/(1 -0.1) = 29.999999997
_____
Additional comment
Some calculators may have trouble with this. The correct answer has 11 significant digits. Some calculators only display 10 digits.
Answer:
the answer is 29.999
Step-by-step explanation:
If you take the same equation used to find the first 5 terms you are able to find the sum of the first 10
Olivia tries to cut a piece of metal 45 inches long the piece of metal ends up being 43. 5 inches long what is the approximate orecent error in this situation
Answers
When Olivia tries to cut a piece of metal 45 inches long, the piece of metal ends up being 43.5 inches long, then there is an approximate percent error of 3.33% in this situation.
Therefore the answer is 3.33%.
To calculate the approximate percent error in this situation, we can use the formula:
Percent Error = (|Experimental Value - Theoretical Value| / Theoretical Value) x 100
In this case, the experimental value is 43.5 inches and the theoretical value is 45 inches. Plugging these values into the formula, we get:
Percent Error = (|43.5 - 45| / 45) x 100
= (1.5 / 45) x 100
= 0.033 x 100
= 3.33%
So the approximate percent error in this situation is 3.33%.
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Write an equation in slope-intercept form for the line with slope −3 and y-intercept 2.
Answers
Answer: Y= -3x+2 is how you would write it according to the slope-intercept formula Y=MX+B
Step-by-step explanation: M being your slope
And B being your Y-Intercept
5-2(m-3)=1 can y’all help me this is hard
Answers
Answer:
m = 5
Step-by-step explanation:
5 - 2 * (m - 3) = 1
5 - 2m + 6 = 1
-2m + 11 = 1
-2m = -10
2m = 10
m = 5
Brainlest- Pls help me pls thank you sm In advance
Answers
z is 125
y is 70 because interior angles of a triangle add up to 180 so 180-55-55=70.
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2a) Determine the unknown angle x.
Answers
The unknown angle x in the triangle is 80 degrees
How to determine the unknown angle x.From the question, we have the following parameters that can be used in our computation:
The triangle
The unknown angle x is calculated using the sum of angles in a triangle theorem
So, we have
x + 60 + 40 = 180
Evaluate the like terms
x + 100 = 180
So, we have
x = 80
Hence, the unknown angle x is 80 degrees
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How do I solve this??
Answers
Answer:
f(x) = -1
Step-by-step explanation:
Since f(x) is a function for the variable x, we replace every x in the expression with 2 (the given value of x). Therefore, f(x) = 3(2) - 7, f(x) = 6 - 7, f(x) = -1.
(HELP PLEASE I BEG)The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750. At the beginning of 2019, the same savings account now had $3,201 in it.
By what percent did Maria’s savings increase from 2018 to 2019? Show the work that leads to your answer and do not round.
Answers
Step-by-step explanation:
First, you need to find the difference 3201-2750=451, it has increased by 451, then divide the difference by the original number, which is 2750 because thats what she started off with (3201 would be the new number)
Increase% = Increase ÷ Original Number ×100
451÷2750×100=16.4%
The percent of Maria’s savings increase from 2018 to 2019 will be 16.4%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750.
And, At the beginning of 2019, the same savings account now had $3,201 in it.
Now,
The increased amount = $3,201 - $2,750
= $451
So, The percent of Maria’s savings increase from 2018 to 2019 is,
⇒ Increased percent = 451/2750 × 100
= 16.4%
Thus, The percent of Maria’s savings increase from 2018 to 2019 = 16.4%.
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The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? a 14 b 24 c 28 d 48
Answers
Answer:
Step-by-step explanation:
answer is 5
A rectangle has area of 169 square units and a width of 13. Find it's length
Answers
Answer:
13
Step-by-step explanation:
What does it mean if the graph is skewed to the right?
Answers
If the histogram is skewed to the right, the graph's peak will be to the left of the center.
What happens when the distribution is skewed to the right?The peak of the graph is located to the left of the center if the histogram is skewed to the right. The frequency of observations is less frequent on the right side of the graph than it is on the left.
The mean is typically higher than the median when the distribution is right-skewn. We anticipate that the mean and median will be roughly identical in value in symmetric distributions. There is a significant link between the distribution's form and how the mean and median are related.
A positively skewed distribution, sometimes referred to as a right-skewed distribution, is a type of distribution where the majority of values are concentrated around the left tail and the right tail is longer. The distribution that leans positively is the exact opposite of one that leans negatively.
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Ayuden por favor, no entiendo este problema
Answers
We will get that the angle theta is:
θ = β/2
How to find the value of theta?Remember that the sum of the interior angles of any triangle must be equal to 180°.
Now, looking at the triangle in the left, we can see that the top angle is equal to:
180 - 2α
The right angle is equal to:
180 - 2β
And the left angle is α
Then we can write:
α + (180 - 2α) + (180 - 2β) = 180
-α - 2β = -180
α = 180 - 2β
Now we can go to the other triangle, where theta is, and write:
α + β + 2θ = 180
Replacing what we found above, we get:
180 - 2β + β + 2θ = 180
-β + 2θ = 0
θ = β/2
That is the best simplification we can get with the given diagram.
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Please solve 8.2(6x-3)=7(7x-1.2)
Answers
Answer:
x=81
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8.2(6x−3)=7(7x−1.2)
(8.2)(6x)+(8.2)(−3)=(7)(7x)+(7)(−1.2)(Distribute)
49.2x+−24.6=49x+−8.4
49.2x−24.6=49x−8.4
Step 2: Subtract 49x from both sides.
49.2x−24.6−49x=49x−8.4−49x
0.2x−24.6=−8.4
Step 3: Add 24.6 to both sides.
0.2x−24.6+24.6=−8.4+24.6
0.2x=16.2
Step 4: Divide both sides by 0.2.
0.2x0.2=16.20.2
What is -9x+3(x+1)+8=-x-10
Can an expert help me out
Answers
Have a nice day
-6x+11=-x-10
11=5x-10
21=5x
x = 21/5
HELP PLEASE!! VERY FAST!!
Answers
Answer:
the correct answer is option B. V only
Please help me I will give you 25 points and brainliest if you help!! :)))
Answers
Answer:
(l*b)
length*breadth
=is answer.