Answer:
y = - \(\frac{3}{2}\) x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - \(\frac{3}{2}\) and c = - 4 , thus
y = - \(\frac{3}{2}\) x - 4 ← equation of line
what the simplified form of 3
Answer:
It’s the last one.
Step-by-step explanation:
135 can also be written as 9 times 15. Since this is a square root, find a factor that is repeated twice. 9 can be broken down into 3 times 3. Hence this goes on the outside. 15 stays inside.
11-(3x-6)+2(4x+5)-x simplify
Answer:
HOPE THAT WILL HELP YOU
what percentage is greater than 3/4 and less than 4/5
Answer:
39/50Step-by-step explanation:
what percentage is greater than 3/4 and less than 4/5
3/4 = 0.75
4/5 = 0.8
the answers between 0.75 and 0.8 are all good, take 0.78, transform into a fraction and you have 39/50
The reference angle for 7pi/6 is pi/6 which has a terminal point of (radical 3/2,1/2) what is the terminal point of 7pi/6
The terminal point of 7π/6 is (-√3/2, 1/2) when the reference angle for 7π/6 is π/6.
What is terminal point in angle?A terminal is a straight line that has been turned around a point on another line to generate an angle measured clockwise or counterclockwise. A 90° angle is formed by the terminal side of the 90° angle and the x-axis. In this scenario, the reference angle is the same as the original angle. In reality, each angle between 0° and 90° is equal to its reference angle.
Here,
We have any point (x, y) on the unit circle of radius ‘r’ centered at origin which is (rcosθ, rsinθ)/(rcost, rsint).
Here, t = -7π/6 and r = 1
∴ Required point (x, y) = (rcost, rsint)
= [(1)cos (-7π/6), (1)sin(-7π/6)]
= [cos 7π/6, -sin7π/6] [∵ cos(-θ) = cosθ and sin (-θ) = -sinθ]
Using allied angles,
cos(7π/6) = cos [π + (π/6)] = - cos(π/6) = -√3/2
-sin(7π/6) = -sin [π+ (π/6)] = -[-sin(π/6)] = 1/2
Therefore, the required point is (-√3/2, 1/2)when the reference angle for 7pi/6 is pi/6.
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Answer:
5.3.3 trigonometric ratios and unit circle, question 4/10
the correct answer to this question is (\(-\sqrt{\frac{3}{2}}, -\frac{1}{2}\\\))
Step-by-step explanation:
i just took the quiz and used the answer the person gave above and it was incorrect, the quiz said this was the correct answer. hope this helped :)
(5pts) to select a sample of undergraduate students in the united states, you select a simple random sample of four states. from each of these states, you select a simple random sample of 2 colleges or universities. finally, from each of these 8 colleges or universities, you select a simple random sample of 20 undergraduates. your final sample consists of 160 undergraduates. which type of sampling was used
The type of sampling used in this scenario is a multistage cluster sampling. In this type the population is divided into clusters or groups.
In multistage cluster sampling, the population is divided into clusters or groups, and a sample is taken from each cluster. In this case, the clusters are the states, and a simple random sample of four states is selected.
Within each selected state, another level of sampling occurs where two colleges or universities are randomly selected from each state. This forms the second stage of sampling.
Finally, from each of the eight selected colleges or universities, a simple random sample of 20 undergraduates is taken. This forms the third stage of sampling.
By combining these stages, a final sample of 160 undergraduates is obtained.
Multistage cluster sampling is commonly used when the population is large and geographically dispersed. It offers a practical approach to obtain a representative sample by selecting clusters at different stages, which helps to reduce time, cost, and logistical challenges.
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Construct an equation for a function with a zero at -2 and a double zero at 3.
Step-by-step explanation:
feeling the compa
Como te amo mucho
what is the value of the expression below 5× (9-3)+7
Answer:
-23x.
Step-by-step explanation:
5x(9 - 3) +7.
5x times 9 = 45.
5x times -3 = -15.
45x - 15 +7.
45x - 15 = 30.
-30 + 7 = -23.
Hope this helps!
Have a good day ma'am/sir.
Be safe!
Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, r, in beats per minute, can be approximated by the formulas r = 143 minus 0.65 a for women r = 165 minus 0.75 a for men, where a represents the person’s age. if the desirable heart rate for a man is 135 beats per minute, how old is he? a. 22.5 years old b. 40 years old c. 45 years old d. 42.5 years old
Age will be 40 years old.
R, in beats per minute, can be approximated by the formulas, where a represents the person's age.
where R= 143 - 0.65a for women.... (1)
and R= 165 - 0.75a for men,..... (2)
So by implementing these two equation we get a = 40
If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.
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there are four suits: clubs, diamonds, hears and spades, and the following cards appear in each suit: ace, 2, 3, 4, 5,6 ,7, 8, 9, 10, jack, queen, king. a a 7? b. a black card?
The probability of getting a 7 is 1/13 and a black card is 1/2.
What is a Probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.Given that
A deck of cards contains 52 cards
The total number of 7's are 4 cards
The total number of black cards is 26
A) Probability of getting a 7 = Total number of 7 / Total cards
Probability of getting a 7 = 4/52
Probability of getting a 7 = 1/13
B) Probability of getting a Black card = Total number of Black cards/ Total cards
Probability of getting a Black card = 26/52
Probability of getting a Black card = 1/2
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The probability of getting a 7 \(\frac{1}{13}\) and a black card is \(\frac{1}{2}\).
What is a Probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.
A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.
Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.
Given that
A deck of cards contains 52 cards
The total number of 7's are 4 cards
The total number of black cards is 26
A) Probability of getting a 7 = Total number of 7 / Total cards
Probability of getting a 7 = 4/52
Probability of getting a 7 = 1/13
B) Probability of getting a Black card = Total number of Black cards/ Total cards
Probability of getting a Black card = 26/52
Probability of getting a Black card = 1/2
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solve for x pls. help
Answer:
the answer is 82
Step-by-step explanation:
here,
x°+57°+41°=180° ( sum of interior angle of a triangle)
or, x°+ 98°= 180°
or, x°=180°-98°
or, X°=82.
can u give me brailest
with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b)
This is incomplete question
Complete question is this:
With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0Choose the correct option:
Now, According to the question:
Hence, The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b).
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what is the commutative property in x+3y
PLEASE ANSWER QUICKLY
Answer:
3y+x
Step-by-step explanation:
commutative property :
a+b=b+a
Similarly:
x+3y=3y+x
Answer:
\(we \: know \: that \: commutative \: \\ prop \: is \: x + y = y + x \\ so \: x + 3y = 3y + x \\ \\ thank \: you\)
please help me please asap
a) write set c = {north america, south america, europe, asia, australia, africa, antarctica} in set-builder notation. b) write, in words, how you would read set c in set-builder notation.
Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.
What is set ?
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines,etc.
a) The set c = {north america, south america, europe, asia, australia, africa, antarctica} can be written in set-builder notation as:
c = {x | x is a continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}
b) The set-builder notation can be read as "the set c, such that x is a continent and x is an element of the set {north america, south america, europe, asia, australia, africa, antarctica}".
Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.
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The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?
The correlation is a significant non-zero value.
The number of samples is n.
n = 25
The correlation of the coefficient is r.
r = -0.40
When correlation is significant,
\(H _{0} : p = 0\)
When correlation is non-zero,
\(H _{ \alpha } : p ≠0\)
The test statistic is,
\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)
\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)
\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)
= -2.093
The test statistic is -2.093.
The correlation is,
\(H _{ \alpha } : - 2.93 ≠0\)
The correlation is not equal to zero and is significant.
Therefore, the correlation is a significant non-zero value.
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if alpha and beta are zeroes of x2-3x+q. what is the value of q, if 2 alpha+3 beta=15
The value of q is -27.
Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.
In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.
We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.
Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.
Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.
Combine like terms: 15 - beta = 6.
Subtract 15 from both sides: -beta = -9.
Multiply both sides by -1 to solve for beta: beta = 9.
Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.
Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.
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Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of $21,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $7,000 down payment be?
Answer:
a. Down payment of $21,000
= 21,000 / 140,000
= 0.15
= 15%
b. Down payment of $7,000
= 7,000/ 140,000
= 0.05
= 5%
Which expression is equivalent to
6 (x - 3)
?
A.
6x - 3
B.
6x - 18
C.
3x
D.
6x + 18
Answer:
Step-by-step explanation:
6(x-3)=6(x)+6(-3)=6x-18
Answer: the answer is 6x-18 i believe its B
How?
All you have to do is distribute so:
6*X= 6x and 6*-3= -18 put them together and you get 6x-18
identify the property shown.
−7.9+(−9.03+(−0.1))=−7.9+(−0.1+(−9.03))
Answer:
commutative property
Step-by-step explanation:
sin theta + cos theta
cos theta (1-cos theta)
Given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ).
Given the expression:
sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ))
Let's simplify this expression step by step:
1. First, recognize that cos(θ) * cos(θ) can be written as cos²(θ). So, the expression becomes:
sin(θ) + cos²(θ) * (1 - cos(θ))
2. Next, we'll distribute cos²(θ) to both terms inside the parentheses:
sin(θ) + cos²(θ) - cos³(θ)
At this point, we have simplified the expression as much as possible. The final expression is:
sin(θ) + cos²(θ) - cos³(θ)
In summary, given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ). Remember that this is a general expression and its specific value depends on the angle θ.
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Complete the equation of the line through
10, 3) and
8, 8).
Use exact numbers.
\((\stackrel{x_1}{10}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{10}}} \implies \cfrac{ 5 }{ -2 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{5}{2}}(x-\stackrel{x_1}{10}) \\\\\\ y-3=-\cfrac{5}{2}x+25\implies {\Large \begin{array}{llll} y=-\cfrac{5}{2}x+28 \end{array}}\)
What is the difference between supply and quantity supplied?(1 point)
Supply is how much consumers are willing to buy; quantity supplied is how much is made available.
Supply deals with the decisions of consumers and quantity supplied deals with the decisions of a producer.
Supply and quantity supplied are the same.
Supply is the total amount of goods available; quantity supplied is how much is made available at each price level.
Answer: Supply is the total amount of goods available; quantity supplied is how much is made available at each price level.
1. quantity supplied increases
2. Supply is the total amount of goods available; quantity supplied is how much is made available at each price level.
3. perfectly inelastic
4. an artist
5. Price and quantity supplied move in the same direction; as price decreases, quantity supplied decreases and as price increases, quantity supplied increases.
PLZ HELP ME!!!! I WILL MARK YOU BRAINLIEST!!!
Jane wants to display her monthly expenses in a circle graph to help her budget her money. she determines that the sector representing her car payment will have a angle of 59 degrees. if janes total monthly expenses are 1,650 what is her monthly car payment?
Answer:
359 is her payment
Step-by-step explanation:.
Answer:
359 in total :)
3b) Determine the value of the unknown.
7:12 = 21:
Your answer
This is a required arection
Answer:
Step-by-step explanation:
What is the solution for 3x =9
x = 3
Divide each term by 3 and simplify.
FING ANGLE BED- CIRCLE GEOMTRY
Help me!!! Please!! URGENT!!
Answer:
D
Step-by-step explanation:
f(x)=x-14 g(x)=x^2+14
fog=f(g(x)
=f(x^2-+14)
=f(x^2+14)-14
fog(x)=x^2
Light travels a distance of one mile in about 0.000005368 second.
a
What is this estimated time written as a single digit times a power
of 10?
HELP PLEASE!!
Consider the functions below.
f(x) =
g(x) = x3 − 9
(a) Find each of the following.
f ∘ g
=
g ∘ f
=
Find the domain of f ∘ g. (Enter your answer
using interval notation.)
(b) Use
The functions are given as;
f o g(x) = 2x³ - 18
g ∘ f = 8x³ - 9
The domain is the sum of all real number (-∞, ∞)
How to determine the valueFrom the information given, we have that;
f(x) = 2 x
g(x) = x³ - 9
To determine the composite function,
f o g(x), we have to substitute the value of x as g(x) in the function f(x), then, we have;
f o g(x) = 2(x³ - 9)
expand the bracket, we have;
f o g(x) = 2x³ - 18
To determine the composite function, we have;
g ∘ f(x) = (2x)³ - 9
expand the bracket
g ∘ f = 8x³ - 9
Now, we can say that the domain is the sum of all real number (-∞, ∞)
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The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)
The equation that represents h(x) is h(x) = (f(x))(g(x)).
To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).
Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).
Let's examine the table and compare the values:
x | f(x) | g(x) | h(x)
1 | 3 | 4 | 12
2 | 5 | 2 | 10
3 | 2 | 6 | 12
From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).
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Answer:
It's B.
Step-by-step explanation:
Edge 2020.