Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&2x-1+3x&=0 \\\\ B.&&5x-1&=0 \end{aligned} A. B. 2x−1+3x 5x−1 =0 =0 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C) C Rewrite one side (or both) by combining like terms (Choice D) D Rewrite one side (or both) using the distributive property 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answers
Answer:
1. Rewrite one side (or both) by combining like terms
2. They are equivalent
Step-by-step explanation:
Given
A. 2x-1+3x=0
B. 5x-1=0
Required
How to get equation B from A?
Are both equations equivalent?
- How to get equation B from A?
Option C answers this question
This is shown below
Equation A can be rewritten as thus:
\(2x - 1 + 3x=0\)
Collect Like Terms
\(2x + 3x -1=0\)
This gives
\(5x-1=0\)
At this stage, we have equation B
- Are both equations equivalent?
Yes they are:
This is shown below:
Equation A was solved in (1) above to give:
\(5x-1=0\)
And Equation B is
\(5x-1=0\)
Hence:
We can conclude that both are equivalent
The given equations are equivalent and this can be determined by combining like terms by using the arithmetic operations.
Given :
2x - 1 + 3x = 0 --- (1)5x - 1 = 0 --- (2)The following steps can be used in order to determine the correct statement:
Step 1 - Write the given equations.
2x - 1 + 3x = 0
5x - 1 = 0
Step 2 - The arithmetic operations can be used in order to determine the correct statement.
Step 3 - Add 2x and 3x in equation (1).
5x - 1 = 0 --- (3)
Step 4 - Compare both equations (3) and (2). It can be concluded that both equations are identical.
Therefore, the correct option is C).
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Related Questions
Which equation describes a line that contains the point (4, -3) and is perpendicular to the line represented by the equation y=25x+3 ?.
Answers
The equation describes a line that contains the point (4, -3) is y = ( -1/25 )x - 71/25 .
Given :
The point (4, -3) and is perpendicular to the line represented by the equation y = 25x +3 .
Here slope m = 25
Perpendicular slope = -1 / m
= -1 / 25
The line equation is y = mx + c
Substitute m and ( 4 , -3 ) we get
-3 = -1/25 * 4 + c
-75 = -4 + 25c
-71 = 25c
c = -71/25
y = mx + c
y = ( -1/25 )x - 71/25
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I urgently need the answer to number 6 with the work shown
Answers
Answer:
Here you go! Work shown too.
Jose decided to keep track of his sleep using a fitness tracker. He was surprised to learn that there was 12 minutes of awake time during the eight hours when he was supposed to be asleep at night. What percentage of the eight hours was Jose awake during the night? _____ %
Answers
Answer:
2.5% believe.
Step-by-step explanation:
I may be wrong but heres how I solved it.
Take the 8 hours and convert it to minutes.
8 hours - 480 minutes total
12 minutes out of 480 minutes is 2.5%
MT. Mc Kinley is the highest mountain peak in North America with in Ellevation of 20,320 feet what is the value of the digit three in 20,320
Answers
The value of the digit three in 20,320 is three hundred. This is the place value.
How to illustrate the information?It should be noted that a place value simply means the value that's represented by the digits that are written in a number.
In this case, MT. Mc Kinley is the highest mountain peak in North America with in Ellevation of 20,320 feet.
The value of the digit three in 20,320 is three hundred.
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How are arithmetic and geometric sequences similar.
Answers
Answer:
The similarities between arithmetic and geometric sequences is that they both follow a certain term pattern that can't be broken.
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Step-by-step explanation:
An arithmetic sequence is a sequence of numbers that is calculated by subtracting or adding a fixed term to/from the previous term. However, a geometric sequence is a sequence of numbers where each new number is calculated by multiplying the previous number by a fixed and non-zero number.
divide the length of the hypotenuse of triangle ABC by the length of one of its sides divide the length of the hypotenuse of triangle ACD by the length of one of its sides make a conjecture that explains the results
Answers
Therefore , the solution of the given problem of triangle comes out to be h/s = h/√(h² - s²)..
A triangle is exactly what?If a polygon has at least one additional segment, it is a hexagon. Its form is a straightforward rectangle. Something like this can only be distinguished from a regular triangular by edges A and B. Euclidean geometry only creates a portion of the cube, despite the precise collinearity of the borders. A triangular has three sides and three angles.
Here,
Triangle ABC and triangle ACD are both right triangles with a common hypotenuse, as shown by the given diagram.
Let's write the lengths of the sides AB or AD as s and the hypotenuse AC as h. (since both triangles have a common side with length s).
The Pythagorean formula can now be used to determine the length of each triangle's third side:
Triangle ABC's third side's length (BC) can be calculated using this formula:
=> BC = √(h² - s²).
The third side's (CD) length in the triangle ACD is also determined by:
=> CD = √(h² - s²).
By dividing each triangle's hypotenuse's (h) length by one of its sides' (s) lengths, the following result is obtained:
In the triangular ABC,
=> h/s = h/ √(h² - s²).
In the triangular ACD
=> h/s = h/√(h² - s²).
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The power of a statistical test of hypotheses is
the smallest significance level at which the data will allow you to reject the null hypothesis.
equal to 1 - (P-value).
the probability that the test will reject both one-sided and two-sided hypotheses.
the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true.
Answers
The power of a statistical test of hypotheses is the probability that the test will reject the null hypothesis when a particular alternative value of the parameter is true.
It is the ability of the statistical test to detect a true difference between groups, or a true relationship between variables, when it exists. A high power indicates that the test has a low probability of making a type II error (failing to reject a false null hypothesis).
The power of a test is affected by various factors such as the sample size, level of significance, effect size, and variability of the data.
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It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.
The correct answer is: The power of a statistical test of hypotheses is the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true. It is the ability of the test to detect a true difference or effect between two groups or conditions. The power is influenced by factors such as the sample size, effect size, and significance level, and is usually calculated before conducting a study to ensure that it has sufficient power to detect meaningful differences. It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.
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give a recursive algorithm to for computing 32 where n is a nonnegative integer.
Answers
1. If n = 0, return 1.
2. If n is even, recursively compute 32^(n/2) and square the result.
3. If n is odd, recursively compute 32^((n-1)/2), square the result, and multiply by 32.
The algorithm works by repeatedly dividing n by 2 and computing the result of 32 raised to that power. If n is even, we can compute 32^n by squaring 32^(n/2). If n is odd, we can compute 32^n by multiplying 32^((n-1)/2) by itself (i.e., squaring it) and then multiplying by 32. The base case is when n = 0, in which case we return 1 (since 32^0 = 1).
Asun sold 5 baskets of avocado at pho 40.00 per kg. If a basket contains 4 1/2 kg how much did asun earn
Answers
Answer:
The answer is $900
Step-by-step explanation:
In a class of 25 students, 5 have a cat and 9 have a dog. There are 3 students who have a cat and a dog. What is the probability that a student has a cat given that they do not have a dog?.
Answers
The probability that:
A student has a cat and they do not have a dog = 1/8 or 0.125.
Use the concept of probability defined as:
Probability is the ratio of:
The number of favorable outcomes to the total number of outcomes for an event's taking place.
Given that,
The number of students in the class = 25
\(5\) students have a cat.
\(9\) students have a dog.
\(3\) students have both a cat and a dog.
The objective is to find the probability that given that they don't have a dog, a student has a cat.
To find the probability that one of the pupils has a cat because there isn't a dog in the class:
First, determine the total number of pupils without a dog..
Since there are 25 students in total and 9 have a dog,
Now, 25 - 9 = 16
So the number of students who do not have a dog = 16
Now, determine the number of students who have both a cat and a dog.
According to the question:
There are 3 students who have both,
Subtract this from the percentage of students who own cats.
Therefore,
5 - 3 = 2
So, there are 2 students who have a cat but not a dog.
\(Probability = \frac{\text{(Number of students with only a cat)}}{\text{ (Number of students who do not have a dog)}}\)
Probability = 2 / 16
Probability = 1 / 8
Hence,
The required probability that a student has a cat given that they do not have a dog = 1/8 or 0.125.
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You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell?
$6 for a large candle
$4 for small candle
Answers
6 large candles
1 small candles
What is the SLOPE of the line that goes through the points (20,-3) and
(-16.-3)?
Answers
Answer:
0
Step-by-step explanation:
m=y2-y1
____
x2-x1
m=-3-(-3) =(-3+3)/(-36) =0/-36=0
_____
-16-20
Which angle is supplementary to ∠1?
Answers
a and b are complementary. the measure of a is 42 more than 3 times the measure of b. Find a and b. HELP 100 POINTS FOR ANSWER
Answers
Answer:
and a is 78 bruuh .. .............
how do u find the surface area of all the prisms?
Answers
Let's denote a lottery as (X₁, P₁; X2, P2; ; Xm, Pm), where Xi and Pi indicate the reward magnitude = and probability of each potential outcome. A decision-maker prefers B ($5000, 1.00) to A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers C = ($25000, 0.04; $0, 0.96) to D = ($5000, 0.05; $0, 0.95). Prove that Expected Utility Theory cannot account for the preference. Note: you can assume that the initial endowment is $0 and the utility of $0 is zero.
Answers
Thus, even if the expected value of option A is higher than the expected value of option B, EUT cannot account for the preference.
Expected Utility Theory (EUT) asserts that a decision-maker's utility function can be used to predict their preferences between uncertain options.
If a decision-maker has an ordered preference ranking of lotteries, according to EUT, these rankings would correspond to their expected utility rankings.
Nevertheless, some examples demonstrate that EUT may fail to predict preferences. Let's denote a lottery as
(X₁, P₁; X2, P2; ; Xm, Pm),
where Xi and Pi indicate the reward magnitude and probability of each potential outcome.
A decision-maker prefers B ($5000, 1.00) to
A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers
C = ($25000, 0.04; $0, 0.96) to
D = ($5000, 0.05; $0, 0.95).
However, EUT cannot account for these preferences.
The utility of the three alternatives is calculated as follows:
U(B) = $5000
U(C) = 0.04 × $25,000 + 0.96 × $0 = $1,000
U(D) = 0.05 × $5000 + 0.95 × $0 = $250
However, the expected utilities of A and B cannot be compared.
These preferences might instead be clarified using theories like Rank-Dependent Expected Utility Theory.
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Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground)minutes after takeoff is modeled byh(t) = −3+^2 + 12t +96Alicia wants to know when the drone will land on the ground.1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number inthe equation.h(t) =2) How many minutes after takeoff does the drone land on the ground?
Answers
a.
Function:
\(h(t)=-3t^2+12t+96\)Factoring -3, we have:
\(\begin{gathered} h(t)=-3t^2+12t+96 \\ h(t)=-3(t^2-4t-32) \end{gathered}\)Middle term facotizing the term inside parenthesis:
\(\begin{gathered} h(t)=-3(t^2-4t-32) \\ h(t)=-3(t-8)(t+4) \end{gathered}\)This is the factored form.
b.
h(t) is the height.
When it lands on the ground, the height (h(t)) is 0, so we have:
\(\begin{gathered} h(t)=-3(t-8)(t+4) \\ 0=-3(t-8)(t+4) \end{gathered}\)If we solve this equation for t, we get the line drone lands on the ground.
Let's do this:
\(\begin{gathered} -3(t-8)(t+4)=0 \\ t=8,-4 \end{gathered}\)Time can't be negative, so the solution is t = 8 seconds.
Answer:
h(t) = -3(t-8)(t+4) and 8 minutes
Step-by-step explanation:
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a brief description of a distribution should include its shape, center, and _____.
Answers
A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.
A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.
The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.
The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.
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Susan’s elevation at the top of a mountain is 1530 meters.After four hours of climbing down her elevation is 680 meters. What is Susan’s average change in elevation in meters per hour?
Answers
Answer:
212.5/h
Step-by-step explanation:
subtract the new value from the old value, then divide by the time.
(1530 - 680)/4
850/4
212.5/1h
Answer: Sorry I’m late, look at the picture this is the correct answer!
Step-by-step explanation: Hope this help :D
4PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answers
Answer:
9.3 ft
Step-by-step explanation:
What is the area, in square centimeters, of the trapezoid below?
Answers
18.2 + 8.3 = 26.5 cm
26.5/2 = 13.25 cm
13.25 x 9.2 = 121.9 cm^2
if a(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by a(t). Let the rate be r. Then the amount of the investment must satisfy the differential equation A′ (t) = r A (t)
The initial condition satisfied by A (t) is its value at t = 0. At t=0, no compounding has occurred yet, and the amount is equal to the original amount invested, called the principal. If the principal is P, then the initial condition is A (0) = P
Answers
The differential equation that satisfies the given amount of investment is A'(t) = rA(t)
Let the rate of investment = r
The amount of investment must satisfy the differential equation
A'(t) = r A(t)
Initial condition is the value of A(t) at t = 0
No compounding will be applied at t = 0 and the amount is equal to the original amount invested, known as principal.
If the Principal amount is P, then the initial condition is A(0) = P
Hence, the differential equation is A'(t) = rA(t)
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Francis is playing an online game. He has 25 points and earns 5 points for each puzzle he solves correctly. He will advance to the next round if his score is over 75 points. Which inequality can francis use to find how many more puzzles he must solve to advance to the next round? A. 5x + 25 < 75 B. 5x + 25 > 75 C. 25x + 5 > 75 D. 5x + 75 < 25
Answers
Answer:
B. 5x + 25 > 75
Step-by-step explanation:
Points available = 25
Additional points earned per puzzle =5
He will advance to the next round if his score is over 75 points.
This means, he will move unto the next stage of his points exceeds 75 or greater than 75
The inequality is:
25 + 5x > 75
It can also be written as
5x + 25 > 75
The correct answer is B. 5x + 25 > 75
5x + 25 > 75
5x > 75 - 25
5x > 50
x > 50 / 5
x > 10
A. 5x + 25 < 75
B. 5x + 25 > 75
C. 25x + 5 > 75
D. 5x + 75 < 25
A cylindrical swimming pool is approximately 12 feet wide and 4 feet deep. About how many gallons of water can the swimming pool contain? Remember that 1 cubic foot is approximately 7.48 gallons.
Answers
Answer:
Step-by-step explanation:
Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
r represents radius of the cylinder
h represents height
π = constant = 3.14
From the information given,
Diameter = 12 feet
Radius, r = diameter/2 = 12/2 = 6 feet
h = 4 feet
Volume = 3.14 × 6² × 4 = 452.16ft³
Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is
452.16 × 7.48 = 3382.16 gallons
What is 6,940 x 500?
Answers
Answer:
3,470,000 pls mark me branilest
Answer:
The answer is 3,470,000
Part A: A statement about rational numbers is shown.
The product of two negative rational numbers is greater than either factor. Is the statement always true, sometimes true, or never true? Explain your answer. Provide at least two examples to support your answer.
Part B: A different statement about rational numbers is shown.
The product of two positive rational numbers is greater than either factor. Provide at least two examples to show that this statement is only sometimes true.
Answers
i didn’t realize u were chill like that
how to solve 3sqrt-8
Answers
Answer:
are you supposed to be asking a question?
You buy a meal for 20$. You gave a 15% tip and paid 2% before the tip. What is the total for the bill?
Answers
Answer:23.4$
Step-by-step explanation:
There are 4 cups in 1 quart. How many cups of liquid can fit in a 115-quart container?
Answers
If there are 4 cups in 1 quart, then there will be 460 cups in 115 quarts
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
For example, if there is 2 boy and 5 girls it can be written in the the ratio as: 2 : 5. This means that (for every two boys there are 5 girls) 2/ 7 are boys and 5/ 7 are girls.
Similarly, of 4 cups is 1 quart or better still can be written as;
1 quart = 4 cups
then ,
115 quarts = 115 × 4
= 460 cups
Therefore 460 cups will make 115 quarts
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Acellus equations of lines slope
Answers
Answer:
\(y = x + 2\)
Step-by-step explanation:
y=x+2