Answer:
the slope is -3/2
Step-by-step explanation:
to find the slope, one way is to do rise over run. you cound how many units up you need to go to get to the level of the other point (3 units), and "run" is how many units horizontally you need to go to reach the other point (-2 units).
another way to solve this (this one is more commonly used) is the formula (y₂ - y₁) / (x₂ - x₁). the first point (₁) is (3, -2) and the second point (₂) is (1, 1). so you can fill in the y's and x's to get (1 - ⁻2) / (1 - 3) which gives you the answer of 3/-2 or -3/2.
hope this helps!
8.A book is 320 pages long and has an
average of 483 words per page. At
that nate, how many words would you
expect the book to have?
answer this should be it 15460
50 Points! Multiple choice geometry question. Photo attached. Thank you!
5/6 is the probability that the number landed on an odd or is greater than 4
Probability conceptProbability is defined as the likelihood or chance that an event will occur.
If a number cube is rolled, the sample space will be:
(S) = {1, 2, 3, 4, 5, 6}
n(S) = 67
If it lands on a odd number, the number of events will be:
(E) = {1, 3, 5}
n(E) = 3
If it lands on a number greater than 4 the number of events will be:
(E) = {5, 6}
n(E) = 2
Pr(even or greater then 4) = 3/6 + 2/6
Pr(even or greater then 4) = 5/6
The probability that the number landed on an odd or is greater than 4 is 5/6
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Answer: 4/6 or 2/3
Step-by-step explanation:
Even number=3/6 or 1/2 chance
Greater than 4=2/6 chance or 1/3 chance
Union basically means either or
So: 1/2+1/3 or 3/6+2/6 or 5/6
This doesn't always work though, so we use trial and error
1 2 3 4 5 6
1 3 5 are the ones not even
13 are the ones not greater than 4
A certain circuit is properly fused for a 5-horsepower motor. If the motor is to be replaced by several 5/8 horsepower motors, how many motors will the fuses be able to carry?
Answer:
8 motors
Step-by-step explanation:
The fuses can carry one 5 HP motor.
This replaced by n number of 5/8HP motors.
That mean the new values of horsepower is equal to the previous value.
5 = n * 5/81 = n/8n = 8 motorsUse the applet to give the square a side length of 1.3 cm. At this moment, what is the measure of the perimeter of the square (in cm) in units of the side length of the square (in cm)
Answer:
Perimeter, P = 5.2 cm
Step-by-step explanation:
Perimeter is the sum of all the sides.
All sides of a square is equal. Here, the side of a square is 1.3 cm.
The perimeter of a square is given by :
P = 4 × side
It means,
P = 4 (1.3 cm)
P = 5.2 cm
Hence, the perimeter of the square is 5.2 cm.
Mr. Smith and Mr. Stein were driving to a business meeting 140 miles from their office. Mr. Smith drove the first
miles, then Mr. Stein drove the rest of the way.
Write an algebraic expression for how many miles Mr. Stein drove.
The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)
What is an algebraic expression?A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.
Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.
Then, the total distance they traveled is 140 miles.
So, the distance that Mr. Stein drove can be represented by the expression:
140 - x
Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.
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Find the value of x in the givenright triangle.12x = [?]62°хEnter your answer as a decimal rounded to thenearest tenth.
Given:
Angle =62 degrees.
Adjacent side=x and Hypotenuse=12.
Consider the cosine formula
\(\cos \theta=\frac{Adjacent\text{ side}}{\text{Hypotenuse}}\)Substitute Angle =62 degrees, Adjacent side=xm and Hypotenuse=12, we get
\(\cos 62^o=\frac{x}{12}\)\(12\times\cos 62^o=x\)\(12\times0.4695=x\)\(x=5.6\)Hence the value of x is 5.6 units.
Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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Please help meeeeeeeee
Answer:
The lines will intersect infinitely many times, because they are identical.
Step-by-step explanation:
Let's change the equations of the lines into (y=mx+b) form.
6x-4y=2 Divide by 2.
3x-2y=1 Move x and divide by -2.
-2y=1-3x ---> y= -1/2+3/2x
The equation of the first line is y=3/2x- 1/2
-2y+3x=1
-2y=1-3x
y = 3/2x -1/2
The equation of the second line is y = 3/2x- 1/2.
The lines are identical- infinitely many intersections.
Step-by-step explanation:
I think the answer is third because it doesn't has a solution.
What is the value for x that makes the equation
4r - 2 + 3x - 7= -51 true?
Answer:
x = -4r/3 - 14
2. Ronu's present age is "x “years and her sister Shaani's present age is twice
of Ronu's age. Write following as algebraic expression
a) Ronu's present age
b) Ronu's age after 2 years
c) Shaani's present age
d) Shaani's age after 2 years
What hould be added to 100 to get - 132
Answer:
x = -232
Step-by-step explanation:
Ronu's present age is "x “years and her sister Shaani's present age is twice of Ronu's age.
(a) Ronu's present age = x years
(b) Ronu's age after 2 years = (x+2) years
(c) Shaani's present age = 2x years
(d) Shaani's age after 2 years = (2x+2) years
Let x should be added to 100 to get -132.
x+100 = -132
x = -100-132
x = -232
Hence, -232 must be added to 100 to get -132.
Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
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(FoF) (0) f(x) = 3x-2
The solution is (FoF) (0) = -8, when f(x) = 3x-2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
f(x) = 3x-2
i.e. fof(x)
=3(3x-2)-2
=9x-8
so. fof(0)
=9*0-8
= -8
Hence, The solution is (FoF) (0) = -8, when f(x) = 3x-2.
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Last year at a certain high school, there were 50 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 22% and the number of girls on the honor roll increased by 15%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
1.6
Step-by-step explanation:
divided 22% and 15%
The population of a town is predicted to grow according to the following model:
P = 15e0.012r
where P represents the number of people in thousands and t is the number of years since 2020. Find
the predicted population in the year 2030. Round your answer to nearest person
O 16,912 people
O 16,913 people
O 16 people
O 17 people
The predicted population in the year 2030 is 10 people
How to determine the predicted population in the year 2030From the question, we have the following parameters that can be used in our computation:
Population function, P(t)= 15е⁻⁰.⁰¹²⁺
Also from the question, we have
The variable t represents the number of years since 2020
This means that the value of t in 2030 is
t = 2030 - 2020
t = 10
So, we have
P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰
Evaluate the above products
P(10)= 15е⁻⁰.¹²
Evaluate the exponents
P(10)= 13.30
Approximate the above expression
P(10) = 13
This means that the number of people is 13
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How do I do this equation?
The quadratic function that models the vertical motion is h(t) = -16t² + 96t + 77
The maximum height is 221 ft
From the question, we are to write a quadratic function to model the vertical motion
h(t) = -16t² + v₀t + h₀
From the given information,
Initial velocity is 96 ft/s
That is, v₀ = 96 ft/s
and
Initial height is 77 ft
That is, h₀ = 77 ft
Thus,
The function becomes
h(t) = -16t² + 96t + 77
To determine the maximum height, we will compare the equation to the general form of a quadratic function
y = ax² + bx + c
t = -b/2a
Where t is the time taken to reach maximum height
By comparing with h(t) = -16t² + 96t + 77
a = -16 and b 96
Thus,
t = -96 / (2 × -16)
t = -96 / -32
t = 3 seconds
Now, we will determine the height at 3 seconds
h(t) = -16t² + 96t + 77
h(3) = -16(3)² + 96(3) + 77
h(3) = -16 × 9 + 288 + 77
h(3) = -144 + 288 + 77
h(3) = 221 ft
Hence, the maximum height is 221 ft
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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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Use the distributive property to write the next step in simplifying the equation.
Use the asterisk symbol ( * ) to represent multiplication. Do not multiply
factors fully and do not use spaces.
-1(3 + x) = 27
Answer:
-1*3-1*x=27
Step-by-step explanation:
Choose the best answer
8 <2(a + 3) < 10
Please need help at this
Answer:
1 < a < 2
Step-by-step explanation:
8 < 2 (a+3) <10
8 < 2a+6 < 10 (Simplify all parts of the inequality)
8+ −6 < 2a +6+ −6 < 10+ −6 (Add -6 to all parts)
2 < 2a < 4
2/2 < 2a/2 < 4/2 (Divide all parts by 2)
=1 < a < 2
Find the measure of angle 1.
Answer:
Do you have an attached picture?
Step-by-step explanation:
Answer:
There's nothing there
Step-by-step explanation:
Select the graph of the solution. Click until the correct graph appears.
|x| + 3 > 7
pain ;-;
Answer:
C. is your answer
Step-by-step explanation:
What is the growth rate?
The growth rate for the people that know the rumor is times 4
Answer 0.25
Step-by-step explanation:
Plz help what’s the length of the side
Answer:
12
Step-by-step explanation:
Pythagoras Theorem is clearly used in this question.
To Calculate the Hypotenuse:
C = \(\sqrt{a^2+b^2}\)
The Adjacent angle has already given as 9, so you can factor that into the question.
In Order to calculate the Opposite angle you need to use the following formula.
\(b = \sqrt{c^2-a^2}\)
With the integers we already have for both Hypotenuse and Adjacent factored in this will be your equation:
\(b = \sqrt{15^2-9^2} = 12\)
Therefore you answer is 12, Hope this helps, feel free to make as brainilest.
Find the missing value.
Hint: Use the number line to find the missing value.
-4=
-9
-15
-10
-5
0
5
10
15
Stuck? Review related articles/videos or use a hint.
Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
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Suppose that you roll two dice. You will be paid $20 if you roll a double. You will not receive anything
for any other outcome. How much should you be willing to pay for the privilege of rolling the dice?
Please round your answer to the nearest cent.
There are 36 possible outcomes when rolling two dice, and only 1 of those outcomes results in a double. Therefore, the probability of rolling a double is 1/36, or approximately 0.028.
If you are willing to pay $20 to roll the dice, then you are effectively paying a premium of $20 for a probability of 0.028 of winning. This means that the expected value of rolling the dice is 0.028 * $20 = $0.56.
Therefore, you should be willing to pay up to $0.56 for the privilege of rolling the dice. Rounded to the nearest cent, this is $0.56.
What integers are plotted on the number line below?
0-3 and 3
08 and 8
0 -8 and -12
8 and -2
Answer:
0-3 and there
Step-by-step explanation:
1. if the person who is zero or a woman or woman would like
2. I think the same way I think it is a lot more minutes and more than a lot
Answer:
-8 and-2
Step-by-step explanation:
its because oe of the point is on the -2 and one is on the -8 also did it on edg 2020
samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies per hour.
write an inequality that represents the situation. let X be the number of hours she spends making chicken pot pies and y be the number of hours she spends making veggie pot pies.
Answer:
y>(line under >) - 4/5x + 8
Step-by-step explanation:
Phrase "at least" indicates that the total number of pies is greater than or equal to 120.
The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.
Use this information to create the inequality:
12x + 15y >(line under >) 120
Simplify by solving for y to get this inequality:
y >(line under >) - 4/5x + 8
In a recent household telephone survey of 2,550 adults in a certain country, 27% reported that they own at least one gun. The researchers want to estimate the true percentage of adults in that country that own at least one gun. Complete parts a through f below a. Identify the population of interest to the researchers. Choose the correct answer below.
a. The set of adults that responded to the survey
b. The set of guns in the country
c. The set of adults in the country that own a gun (CMD.
d. The set of all gun ownership status (yes/no) values for all adults in the country.
Answer
option D
Step-by-step explanation:
The population of interest to the research is the set of all gun ownership status (yes/no) values for all adults in the country. Or all total adults in a country including those that own a gym or not. This is the population of interest. The sample is the 2550 individuals adults surveyed in the household telephone survey.
2. Last year, Springfield Middle School had 620
students. This year, it has 582 students. To the nearest
tenth, what is the percent of decrease?
A) 6.1%
B) 6.6%
C) 93.9%
D) 106.5%
Answer: A
Step-by-step explanation: In all logic its only a 40 soemthing difference and its a bigger number so my guess is 6.1
The percentage decrease in the number of students will be 6.6%. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that last year, Springfield Middle School had 620 students. This year, it has 582 students.
The percentage decrease will be calculated as:-
Percentage decrease = ( 620 - 582 ) / 582
Percentage decrease = ( 38 / 582) = 0.0652
Percentage decrease = 0.0652 x 100 = 6.52% ≅ 6.6%
Therefore, the percentage decrease in the number of students will be 6.6%. The correct option is B.
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There is a line whose slope is 2 and whose slope is 2 and whose y- intercept is 8. What is its equation in slope-intercept form?