The equation with a solution s = 3/4 is the second option:
4s = 3
Which equation has the given solution?We want to see which of the given equations has a solution s = 4/3.
What you can do is take all the given equations and solve them, for example, if I solve the first one:
s - 1 = 1/4
We will get:
s = 1 + 1/4 = 5/4
So this one is not the correct one.
The second equation is:
4s = 3
Dividing both sides by 4:
s = 3/4
So this is the correct option.
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On the number line below, length
AB = [?]
A
В
16
45
Answer:
29
Step-by-step explanation:
45 - 16 =
98 is what percent of 114
Answer:
about 85%
Step-by-step explanation:
(98/114)*100=85.96%
Consider the logistic differential equation:
dy/dx = y/8(6 - y)
Let f(t) be the particular solution to the differential equationwith f(0) = 8
a. What is the limiting factor?
b. Use Euler's method, starting at t=0 with two steps of equalsize, to appropriate F(1).
c. What is the range of f for t > 0
The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.
a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.
b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.
Using Euler's method with two steps of equal size, we can approximate f(1) as follows:
f(0.5) = f(0) + (1/2)dy/dx|t=0
= 8 - (1/2)(1/6)*8
= 7.333...
f(1) = f(0.5) + (1/2)dy/dx|t=0.5
= 7.333... - (1/2)(7.333.../8)*(6-7.333...)
= 6.636...
Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.
c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.
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What does sum mean I math?
Answer:
the sum in math turms is addition.
Step-by-step explanation:
Solve the Equation
–x + 8 + 3x = x – 6
A. x = –18
B. x = –14
C. x = 2
D. x = 4
Answer:
x= -14
Step-by-step explanation:
-x+3x-x=-8-6
x= -14
-x+8+3x=x-6
the first thing we need to do is move the x's to the left and the numbers to the right
when moving a number from one side to another it's sign is changed
-x+3x-x=-6-8
x=-14
Compute the value of the discriminate and give the number for solutions of the quadratic equation 8x^2+3x-2=0
Kianna says that Elena’s house is actually a reflection of her house across the y-axis.
Is Kianna right?
Answer: Kianna is incorrect, if Elena’s house was a reflection of her house across the y-axis, the coordinates would be (-4,2).
Step-by-step explanation:
In a certain investigation: 460 persons were involved in the study: and based on an enquiry on their age. it was known that 75% of them were 22 or more years. The following frequency distribution shows the age composition of the persons under study. Find the mean and modal life of condensers_ Mid; age in years No. of persons 18 f; 23 28 33 90 122 ; 38 56 48 24 20 33'
Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.
What does a percentage actually mean?In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.
Here,
The following algorithm must be used to determine the mean age:
=> mean = (all years added together) / (total number of persons)
The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:
=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)
=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25
=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)
According to the information provided, there are 460 people in total.
=> mean = 17745.25 / 460
=> mean = 17745.25 / 460
As a result, the average lifespan is roughly 38.552 years.
The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.
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determine whether the conclusion follows from the given statements by the law of detachment or the law of syllogism. given: if you go camping, then you will need a flashlight. given:if you need a flashlight, then you will need extra batteries. conclusion: if you go camping you will need extra batteries
The statement can be proved by the law of syllogism.
A formal logical framework used to infer a conclusion from a series of premises is referred to as a syllogism, also known as a rule of inference.
The law of syllogism in conditional statement is given as:
if p then r and if r then q , then we can state that if p then q , where p , q, and r are statements.
Now in the given conditional statements we can write it as:
let p = You go camping
r = you will need a flashlight
q = you will need extra batteries.
Now it is given the if p then r and again if r then q , so by using the law of syllogism we can state that if p then q , that is
If you camping you will need extra batteries.
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The conclusion follows from the law of syllogism .
Law of Syllogism : The Law of Syllogism allows to squeeze together the conditional statements and draw a conclusion .
In general ,
If
p → q
q → r
Then , p → r .
In the given case ,
p = if you go camping
q = then you will need a flashlight
r = then you will need extra batteries
Hence , since p → r
if you go camping → then you will need extra batteries .
Therefore , the conclusion follows from the law of syllogism .
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PLEASE HELP i’m being timed!!!
Solve the system by using a matrix equation.
6x-9y=3 3x-4y=7
Answer:
a
Step-by-step explanation:
Answer:
A. (17,11)
I just did the quiz on edgen.uity
pls help me out I really need to sleep
Answer:
-2/3
Step-by-step explanation:
Rise= -2
Run= 3
-2/3
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Answer:
hi this is my old account
Step-by-step explanation:
a ladder 15 feet tall is placed 7 feet from a building that is perpendicular to the ground. how tall is the building?
Answer: who old are you
Step-by-step explanation:
Answer:
13 feet
Step-by-step explanation:
the part of the ladder on the ground creates a right angle with the building where the base is 7 feet and the hypotenuse is 15 feet
we can use the pythagorean theorem to solve for the height of the building
let 'b' = height of building
7² + b² = 15²
49 + b² = 225
b² = 176
b = \(\sqrt{176}\)
\(\sqrt{176}\) = \(\sqrt{4}\)\(\sqrt{4}\)\(\sqrt{11}\) = 2·2\(\sqrt{11}\)
b = 4\(\sqrt{11}\) which is approximately 13.3 feet
please help me this is all due tomorrow!!!!!
Answer:
5
Step-by-step explanation:
Using Pythagoras' identity
The horizontal distance between A and B is 3 units
The vertical distance between A and B is 4 units
Thus
AB = \(\sqrt{3^3+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
Choose the best answer. What is the value of the expression x + (-y) when x = 1.2
and y = -10.72
-9.5
11.9
-11.9
9,5
Answer:
\(-9.5\) is the best answer.
Step-by-step explanation:
Given the expression
\(x + (-y)\)
putting x=1.2 and y=-10.72 in the expression
\(x\:+\:\left(-y\right)=1.2\:+\:\left(-10.72\right)\)
\(=-9.52\)
Therefore, -9.5 is the best answer.
Simplify -2(x+7)-4x what th answer I’m doing a test rn
Answer:
Step-by-step explanation:
7x-2-4x
Answer:
\( - 6x - 14\)
how hope this helps.
uh i have no clue so plz help
Jamiya's family is going shopping. There are three
people, including her, that need new school clothes. The
total amount they can spend is $618.36. If Jamiya had
another sibling how much more money would the family
need to go shopping?
Can someone give me the answer?
Answer:
5 inches
Step-by-step explanation:
The distance from the center of a circle to any point on the circumference must be equal.
if you wanted to compute the correlation between two ordinal-level variables, which type of correlation should you use?
To compute the correlation between two ordinal-level variables, you should use Spearman's rank correlation coefficient.
What is Spearman's rank correlation coefficient?Spearman's rank correlation coefficient is a non-parametric statistical measure that is used to assess the association between two ordinal-level (ordinal or ranked) variables.
This type of correlation calculates the correlation between the ranks of the data rather than the actual values, making it suitable for ordinal data where the difference between the levels is not well defined.
The coefficient ranges from -1 to 1, where a value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation.
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Service cable mounted in contact with a building must be supported at intervals not exceeding _____.
a) 4 ft. b) 3 ft. c) 30 in. d) 24 in.
The correct option a) 4 ft. , Service Cable that is attached to a building must be sustained at intervals no greater than 4 ft..
Explain the term service cable?Service cables mounted in close proximity to a building must be supported at no more than four-foot intervals.
The cables must be held in place firmly and uniformly distributed weight and strain must not be placed on the cables.Additionally, it stops the wires from sagging and drooping with time, which could increase the chance of harm or breakage. The wires need to be properly supported in order to avoid rubbing against it or coming into touch with other items, which can lead to wear and tear or even electrical dangers. To prevent cables from becoming twisted or knotted, appropriate support is also required.Thus, service cable that is attached to a building must be sustained at intervals no greater than 4 ft.
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there is an island containing two types of people: knights who always tell the truth, and knaves who always lie. as you arrive at the island, you are approached by three natives, a, b, and c. a says: if b is a knight then c is a knave. b says: if c is a knight then a is a knave. c says: if a is a knight then b is a knave.
There are two valid solutions
1. A is a knight, B is a knight, and C is a knave.
2. A is a knave, B is a knave, and C is a knight.
In this scenario, we have three natives on the island: A, B, and C. It is known that knights always tell the truth, while knaves always lie. Let's analyze the statements made by each native:
A says: "If B is a knight, then C is a knave."
B says: "If C is a knight, then A is a knave."
C says: "If A is a knight, then B is a knave."
To determine the true identities of A, B, and C, we need to examine the consistency of their statements.
Let's consider the possibilities:
1. If A is a knight:
- A's statement would be true.
- B and C's statements would also need to be true.
- This implies that B is a knight and C is a knave.
2. If A is a knave:
- A's statement would be false.
- B and C's statements would also need to be false.
- This implies that B is a knave and C is a knight.
Now let's evaluate these possibilities:
1. If A is a knight, B is a knight, and C is a knave:
- A's statement is true, as B is a knight and C is a knave.
- B's statement is true, as C is indeed a knave.
- C's statement is false, as A is a knight, not a knave.
- This configuration is consistent with the rules.
2. If A is a knave, B is a knave, and C is a knight:
- A's statement is false, as B is not a knight.
- B's statement is false, as C is a knight.
- C's statement is true, as A is indeed a knave.
- This configuration is consistent with the rules.
Therefore, there are two valid solutions:
1. A is a knight, B is a knight, and C is a knave.
2. A is a knave, B is a knave, and C is a knight.
These solutions are consistent with the statements made by A, B, and C, considering the behavior of knights and knaves on the island.
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ahhh help! it would mean tons thank you!
Answer:
A
Step-by-step explanation:
Answer: A. 11
Step-by-step explanation:
Please give brainliest
A student is taking a multiple-choice test in which each question has four possible answers. She knows the answers to 5 of the questions, can narrow the choices to 2 in 3 cases, and does not know anything about 2 of the questions. What is the probability that she will correctly answer A) 10, b) 9, c) 8 d) 7, e) 6, and f) 5 questions?
Do not need to answer every part if they are worked the EXACT same way.
the probability that she will correctly answer
A) 10 questions = 0
b) 9 questions = 0.00003
c) 8 questions = 0.00039
d) 7 questions =0.00309
e) 6 questions = 0.01622
f) 5 questions = 0.0584
Here the total number of question is 5+3+2= 10, and every question has four possible answers, for this problem, we will be using the binomial distribution, the formula is :
\(C_{n,k}\)\(p^{k}\)\(q^{n-k}\) ,here C is the combination, p is the probability of success and q is the probability of having the success
for the given situation :
the p = 1/ 4 whereas, q=3/4
here n =10
now for different values of k which is the number of successes, we substitute the know values in the formula, and we get
P(k=10) = 0
P(k=9) = 0.00003
P(k=8) = 0.00039
(P=7)= 0.00309
(P=6)=0.01622
(P=5)= 0.0584
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Driving from Trenton to los angel see takes twice as long as driving from Trenton to Wichita, Kansas. The trip to LA is 40 hours. Write an equation to find the drive time from Trenton to Wichita, using? To represent that number of hours?
Answer:
1/2x=40
Step-by-step explanation:
The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
Step-by-step explanation:
Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Get the slope;
m = Δy/Δx = y2-y1/x2-x1
m = -10-(-3)/7-6
m = -10+3/1
m = -7
Get the intercept;
Substitute the point (6, -3) and m = -7 into the expression y = mx+c
-3 = -7(6)+c
-3 = -42 + c
c = -3 + 42
c = 39
Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c
y = -7x + 39
Hence the required equation is y = -7x + 39
solve the equation
3(3w+2)+5(w+4)=54
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = −(3x)2 − 4?
The effects of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = −(3x)2 − 4 in the graph is stretched vertically down by 3 units and shifted left to 4 units.
We have to determine the effect of the transformations on the graph of ƒ(x) = x^2 when changed to ƒ(x) =1/2(x − 5)^2 + 7
What is the vertex form of the quadratic equation?The vertex form of the quadratic equation is f(x) = a(x-h)^2 + k.
ƒ(x) = −(3x)2 − 4 compare with vertex form therefore we have
a=-3,h=0 k= -4.
a= -3 means the 3 units down to the axis, the wider, so this will stretch vertically down.
h=0
k=-4 this means that the graph is shifted down 4 units.
The answer is stretched vertically down by 3 units, shifted left to 4 units.
What is the vertex?A vertex is a special point of a mathematical object and is usually a location where two or more lines or edges meet. Vertices are most commonly encountered in angles, polygons, polyhedra, and graphs. Graph vertices are also known as nodes
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What is the common solution to the following two linear equations:
1 x-1 = 2 2 y = 3
O Any Value of x ory
O x, y = 0,0
O x, y = 2,0
O x.y = 3,3
O x, y = 0,3
O x, y = 3,0
O No Solution
O x, y = 1,3
O x, y = 2,3
Help please I’ll give brainly
The number 2 in the expression 5 +2x is called the coefficient of x.how does changing the coefficient to 6 change the meaning of the expression
Answer:
would that be 12
Step-by-step explanation: