if your brother has saved $60 to spend on basketball cards
Answer:
Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!
What is the scientific notation 523,120,000
Answer:
5.2312 × \(10^{8}\)
Type the correct answer in each box. Use numerals instead of words.
Consider function h..
3x
2x²
2%,
x < 0
0 < 4
> 4
What are the values of the function when = 0 and when x = 4?
h(x) =
=
h (0)
h (4) =
=
-
8
4,
-
3x + 10,
Reset
Next
The values of the function h(x) are:
h(0) = 10,
h(4) = 2%.
To find the values of the function h(x) when x = 0 and x = 4, we substitute these values into the given function and simplify the expressions.
Given:
h(x) =
-8, when x < 0
-3x + 10, when 0 < x < 4
2%, when x > 4
When x = 0:
Since x = 0 falls in the range of 0 < x < 4, we use the expression -3x + 10:
h(0) = -3(0) + 10 = 10.
When x = 4:
Since x = 4 falls in the range of x > 4, we use the expression 2%:
h(4) = 2%.
Therefore, the values of the function h(x) are:
h(0) = 10,
h(4) = 2%.
The exact value for 2% depends on the context and how it is intended to be interpreted. If it represents 2% of a specific quantity, it can be further simplified or expressed as a decimal or fraction, depending on the desired format.
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what is the relative range of y=-16t^2+24t+2
The range of the function y=-16t²+24t+2 is y ≤ 11.
What is the definition of a function?
A function is a mathematical relationship between a set of inputs and a set of outputs, where each input is associated with a unique output. In other words, it is a rule or process that assigns exactly one output value to each input value. The input values are typically represented by the variable x, while the output values are represented by the variable y. Functions are often written in the form y = f(x), where f is a symbol representing the function.
Now,
The given function is:
y = -16t² + 24t + 2
To find the range, we can find the vertex of the parabola. The vertex will be
t = -b/2a
where a = -16, b = 24.
Substituting the values, we get:
t = -24/(2*(-16))
t = -24/-32
t = 0.75
Substituting t = 0.75 in the given function, we get:
y = -16(0.75)² + 24(0.75) + 2
y = -9 + 18 + 2
y = 11
Therefore, the vertex of the parabola is (0.75, 11). Since the parabola opens downwards, the range is y ≤ 11. Thus, the relative range of the given function is y ≤ 11.
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Susan broke into an apartment shared by Judy, Kendra, and Lisa and stole
$10,000 worth of valuables, including jewelry, stereos, small appliances, etc.
Since Lisa is a friend of Susan's, she would not press charges or file a report for
her lost items. Susan was convicted, and Judy and Kendra received a settlement.
Now 10 months later, Lisa and Susan had a fight and Lisa wants to file a report
on her losses from that burglary. Has too much time lapsed? Is this considered
the same crime or classified as a separate crime?
The categories are usually "felony," "misdemeanor," and "infraction." Decisions on crime classification are made by state legislators; the determination focuses on the seriousness of the crime.
What are the two types of crimes?There are two major types of crime: felonies and misdemeanors. The difference between these two types of crime is defined by the potential punishment for committing them. Talk to a criminal law attorney in your state to learn more about the punishments in misdemeanor and felony cases.Drdhms concluded that all types of criminals could be classified under three main heads: instinctive criminals, habitual crim- inals, and single offenders.Crime is behavior, either by act or omission, defined by statutory or common law as deserving of punishment or penalty. Although most crimes require the element of intent, certain minor crimes may be committed based on strict liability even if the defendant had no specific mindset with regard to the criminal action.
8.33% probability that Michael will be chosen first and Susan will be chosen second.
Initially, there are 4 people(Susan, John, Lisa, and Michael). The probability of Michael being chosen first is 1/4.
Now, suppose Michael was chosen.
There are 3 people(Susan, John and Lisa). The probability of Susan being chosen is 1/3.
What is the probability that Michael will be chosen first and Susan will be chosen second.
Multiplying these probabilities
8.33% probability that Michael will be chosen first and Susan will be chosen second.
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when we keep the same base do we multiply the exponent add or subtract
Answer:
multiply the exponent
Step-by-step explanation:
Answer:
Step-by-step explanation:
Example of Power-to-Power Rule: When we have 1 base and 2 exponents, we MULTIPLY THE EXPONENETS
(M^9)^4 =M^ (9×4) =M^36
How do you do 5a) and 5b)????? Please help!!!!
Answer:
\(21.0 { { {1221220 = 223jn}^{n \: \: \: \: \: \: \: \: \: \: \: \: \tan( \beta \beta \beta \beta \beta \beta \pi\pi) } }^{2} }^{2} \times \frac{?}{?} \)
Answer:
31° F and 67° F
Step-by-step explanation:
(a)
When t = 0 then
f(0) = 31 + \(\frac{0}{100}\) = 31 + 0 = 31° F
(b)
When t = 10 , then
f(10) = 31 + \(\frac{40(10^3)}{10^3+100}\) = 31 + \(\frac{40000}{1100}\) = 31 + 36.36... ≈ 67° F
Click on the measurement that is equal to 20 liters.
A)20.000 milliliters
B)2,000 milliliters
C)2 milliliters
D)200 milliliters
Answer:
A.
Step-by-step explanation:
20000milliters = 20litres
Answer:
20 000 ml
Step-by-step explanation:
1 l = 1000 ml
M balls are initially distributed among m urns. At each stage one of the balls is selected at random, taken from whichever urn it is in, and then placed, at random, in one of the other M −1 urns. Consider the Markov chain whose state at any time is the vector (n1,..., nm) where ni denotes the number of balls in urn i. Guess at the limiting probabilities for this Markov chain and then verify your guess and show at the same time that the Markov chain is time reversible.
The limiting probabilities for the Markov chain are pi = 1/m for all i, where m is the number of urns, and ni is the number of balls in urn i.
1. Observe that the system is symmetric and invariant under permutations of urns.
2. Since the state space is finite, irreducible, and aperiodic, the limiting probabilities exist and are unique.
3. Guess that the limiting probabilities are uniform, i.e., pi = 1/m for all i.
4. Apply the detailed balance condition for time-reversibility: Pij * πi = Pji * πj for all i, j.
5. Since a ball is selected uniformly at random, Pij = (ni / M) * (1 / (M - 1)), and Pji = (nj / M) * (1 / (M - 1)).
6. Plug in the guess πi = πj = 1/m into the detailed balance condition: (ni / M) * (1 / (M - 1)) * (1/m) = (nj / M) * (1 / (M - 1)) * (1/m).
7. Simplify and observe that both sides are equal, which verifies the guess and shows time-reversibility.
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video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answer:
He can spend games at a rate of y = -0.48x + 12
Step-by-step explanation:
12x + 25y = 300
Move the 12x on the other side.
25y = -12x + 300
Divide the 25y with everything.
y = -0.48x + 12
Write the augmented matrix for the following system of equations 7-6y+8x=0, 6x=-3-2y
The augmented matrix for the system of equations 7-6y+8x=0, 6x=-3-2y is:
| 7 -6 8 | 0 |
| 6 0 -2 | 3 |
This matrix represents the system of equations in a matrix form where the coefficients of the variables are on the left and the constant terms are on the right.
An augmented matrix is a rectangular array that is formed by appending the coefficients of variables and the constant terms of a system of linear equations in a single matrix. It is used as a tool in linear algebra to represent a system of linear equations in a compact form.
The augmented matrix is typically written as:
| a11 a12 a13 | b1 |
| a21 a22 a23 | b2 |
| a31 a32 a33 | b3 |
where aij represents the coefficient of the i-th equation for the j-th variable, and bi represents the constant term for the i-th equation.
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Water flows on the Amazon river near the cachoeira de Santuario waterfalls at a velocity 75 meters per second. If a low height run of the river turbine is installed that captures 10 cubic meters, what power will it generate
Answer:
7.5 MW
Step-by-step explanation:
The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:
Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)
P = ρQgh
But Qh = Velocity(v) * volume(V).
Hence power = ρvgV
Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:
P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W
P = 7.5 MW
The major assumption in factor analysis (but not PCA)
The major assumption in factor analysis (but not PCA) is that the observed variables are caused by a smaller number of underlying, unobserved (latent) variables, which are called factors.
Factor analysis and principal component analysis (PCA) are both techniques used for data reduction and dimensionality reduction. However, they differ in their assumptions and goals.
In factor analysis, the focus is on identifying the underlying latent variables (called factors) that explain the observed correlations among a set of variables. The major assumption in factor analysis is that the observed variables are caused by a smaller number of underlying factors. These factors cannot be directly measured, but are inferred from patterns of correlations among the observed variables. The goal of factor analysis is to extract these factors and to estimate how much each factor contributes to each observed variable.
In contrast, PCA is a technique that focuses on finding a linear combination of the original variables that explain the maximum amount of variance in the data. The major assumption in PCA is that the observed variables are not caused by any underlying factors, but are simply linearly related to each other. The goal of PCA is to find a set of orthogonal (uncorrelated) principal components that capture the maximum amount of variance in the data.
Therefore, the major assumption in factor analysis (but not PCA) is that there are underlying latent variables (factors) that cause the observed correlations among the variables.
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A fair dice is rolled. Work out the probability of getting a 5. Give your answer as a fraction in its simplest form.
Answer:1/6
Step-by-step explanation:
There are 6 sides of a dice. One side is a 5, so it would be 1/6
Answer:
1/6
Step-by-step explanation:
if u have 10 and add 20 and add 10
Answer:
It will be 40
Step-by-step explanation:
Hope this helped have an amazing day!
The given statement is,
→ if u have 10 and add 20 and add 10.
In mathematical expression,
→ (10 + 20) + 10
→ 30 + 10
→ 40 is the answer.
3. What percent of 150 is 15? Known: Unknown: the Equation:
Answer:
Look Below
Step-by-step explanation:
Now if you are looking what percent 15 is in 150, then it'll be 22.5%
Just Multiply 150 with 15 (add a 0. before adding the 15) then multiply 150 x 0.15, and you get 22.5, to which that is 22.5%.
please help 10 points!
By solving the given expression , The resultant could be x >= 48 or
x >= -24 .
What is Algebraic expression ?
Algebraic expression can be defined as the combination of constants , variables and values .
Given expression,
| 1/4 x - 3 | - 5 >= 4
shifting 5 to RHS
we get,
| 1/4 x - 3 | >= 9
case 1 :
1/4 x - 3 >= +9
1/4 x >= 12
x >= 48
Case 2 :
1/4 x - 3 >= -9
1/4 x >= -9+3
1/4 x >= -6
x >= -24
Hence , by solving the given expression , we get x >= 48 or x >= -24 .
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HELPPPP ME NOWWWW PLEASEE
The graph below represents the amount of water in a pool over a period of 5 hours.
Place the tiles in the order that best interprets
the information shown in the graph.
1. It starts raining and the pool fills with more water
2. The pool drain is completely clogged and does not drain any water.
3. The pool drain is slightly clogged and the pool drains water at a slow rate
4. The pool drain is cleaned and drains water at a quick rate
The correct order of given information is 3, 2, 1 and 4.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, the given graph represents the amount of water in a pool over a period of 5 hours.
Here, the order of given information is
The pool drain is slightly clogged and the pool drains water at a slow rate.The pool drain is completely clogged and does not drain any water.It starts raining and the pool fills with more water.The pool drain is cleaned and drains water at a quick rateTherefore, the correct order of given information is 3, 2, 1 and 4.
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Detailed explanation pls
Find the Range of the function:
F(x) = 3x + 7 for the domain {-1, 0, 1, 2}
The range of the given function is expressed as;
{4, 7, 10, 13}
What is the range of the given function?In mathematics, the range of a function is defined as the set of all possible output values for every possible input value.
Now, in this question, we given;
Function; f(x) = 3x + 7
Domain = {-1, 0, 1, 2}
To find the range. we will plug in each of the domain values for x in the given function to get;
when x = 1;
f(1) = 3(1) + 7
f(1) = 10
When x = 2;
f(2) = 3(2) + 7
f(2) = 13
When x = 0;
f(0) = 3(0) + 7
f(0) = 7
When x = -1;
f(1) = 3(-1) + 7
f(1) = 4
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Hello, how to do 12(c) ?:)
Step-by-step explanation:
27^x / sqrt(9^y) = 3 and log2(x) - 2 = log2(y).
3^3x / 3^y = 3 and log2(x) - log2(4) = log2(y).
3x - y = 1 and x/4 = y.
Therefore x = 4/11 and y = 1/11.
Answer:
( \(\frac{4}{11}\) , \(\frac{1}{11}\) )
Step-by-step explanation:
27 = 3³ and √9 = 3 and xy ≠ 0
\(\frac{3^{3x} }{3^{y} }\) = 3 ⇔ \(3^{3x-y}\) = \(3^{1}\) ⇒ 3x - y = 1
\(log_{2} x\) - 2 = \(log_{2} y\) ⇔ \(log_{2} x\) - \(log_{2} y\) = 2 ⇔ \(log_{2} \frac{x}{y}\) = 2 ⇒ \(\frac{x}{y}\) = 2² ⇒ x = 4y
\(\left \{ {{3x-y=1} \atop {x=4y}} \right.\)
3(4y) - y = 1 ⇒ y = \(\frac{1}{11}\) and x = \(\frac{4}{11}\)
( \(\frac{4}{11}\) , \(\frac{1}{11}\) )
in PQR if m∠p is 14 less than five times x, m∠q is five less than x and m∠r is nine less than twice x find x and the measure of each angle.
x=
m∠p=
m∠q=
m∠r=
The value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°
What is an angle?
An angle is formed when two lines meets at the same vertex. It is measured by degree. Based on the measurements angles are of three types.
Consider POR as a triangle.
Given that m∠p=5x-14, m∠q=x-5, m∠r=2x-9.
In triangle the sum of the angle is 180°, then
m∠p + m∠q +m∠r =180°
⇒5x-14+x-5+2x-9 = 180°
⇒8x-28=180°
⇒x=26°
then, m∠p=5x-14 = 5(26)-14 = 116°
m∠q=x-5 = 26-5=21°
m∠r=2x-9 = 2(26)-9=43°
Hence, the value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°
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i need to know how many solutions to this problem there are
EXPLANATION
Given the equation:
-4x -5 = 6 -11x
Adding +11x to both sides:
11x -4x -5 = 6
Adding+5 to both sides:
11x -4x = 6+5
Adding similar terms;
7x = 11
Now, we can see that there is only one solution that is 11/7.
What is the slope of a line parallel to the given line?
-3x + 4y = 2
Step-by-step explanation:
Hey there!
The given equation is;
-3x+4y = 2
Now, from this equation;
\(slope(m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)
\(m = \frac{ - ( - 3)}{4} \)
\(m = \frac{3}{4} \)
As we know that the slope of line which are parallel to eachother is equal.
Therefore, the slope of the equation which is parallel to the equation is 3/4.
Hope it helps....
How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
Clarence set his watch 16 seconds behind , and it falls behind 2 seconds every day . How many days behind has it been since Clarence last set his watch if the watch is 46 seconds behind
Answer:
15 days.
Step-by-step explanation:
46 - 16 = 30.
It falls 2 seconds behind each day so the number of required days
= 30 / 2 = 15.
Answer:
Step-by-step explanation:
15 days 16-40=30 the take 30/2= 15
Austen's company bought 685.488 pounds of wood and 715.324 pounds of brick. How many pounds of material did the company buy in all?
Answer:1400.812
Step-by-step explanation:
Answer: 1,400.812
Step-by-step explanation: This looks like an addition problem
685.488 + 715.324 = 1,400.812
i need your help plz say fast
please help me out if you can :)
Step-by-step explanation:
here,
x°+15°=5x°-41°[being vertically opposite angle]
15°+41°=5x°-x°
56°=4x°
\( \frac{56 }{4x} \)
thus,x=14°
hence,the value of x is 14°.I hope this will help you.please mark my answer as BRAINLIEST if you liked it....Answer:
x=14
SEE THE IMAGE FOR SOLUTION
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Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.