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\((2x - 30) + (2x - 60) + (x - 30) = 180 \\ \)
\(5x - 120 = 180\)
Add sides 120
\(5x - 120 + 120 = 180 + 120\)
\(5x = 300\)
Divided sides by 5
\( \frac{5}{5} x = \frac{300}{5} \\ \)
\(x = 60\)
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x = 60°
Step-by-step explanation:Hi there !
The sum of the angles is 180°
2x-30 + 2x-60 + x-30 = 180
2x + 2x + x = 180° + 30° + 60° + 30°
5x = 300°
x = 300° : 5
x = 60°
Good luck !
Which expression is equivalent to (3^5 x^2)^4 use step by step
Answer:
look at the screenshot
Step-by-step explanation:
if there are four possible outcomes how many logical tests are required
If there are four possible outcomes, only two logical tests are required. They are often used in if-else statements and loops to control program flow. Understanding logical tests is essential for anyone who wants to learn programming or problem-solving.
Logical tests are used to determine whether a certain condition is true or false. In this case, with four possible outcomes, we need to test each outcome against another outcome. For example, we can test Outcome 1 against Outcome 2, Outcome 1 against Outcome 3, Outcome 1 against Outcome 4, Outcome 2 against Outcome 3, Outcome 2 against Outcome 4, and Outcome 3 against Outcome 4.
Logical tests are a fundamental concept in computer programming and problem-solving. They are used to evaluate conditions and make decisions based on the results. In some cases, logical tests can be used to determine the number of possible outcomes in a given situation. For example, if there are four possible outcomes, we can use logical tests to determine how many tests are required to cover all possibilities. In this case, we need to test each outcome against another outcome to see if they are different. This gives us a total of six tests. However, we can eliminate half of these tests because they are duplicates. Therefore, we only need to perform two logical tests to cover all four possible outcomes. Logical tests are commonly used in computer programming to evaluate conditions and make decisions based on the results.
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Help please Math is annoying.
Answer:
1
Step-by-step explanation:
so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.
Why is he using an open circle for x > 4 ?
We want to include 4 in our solution set
or
We do not want to include 4 in our solution set
An open circle is used to represent x > 4 as we do not want to include 4 in our solution set.
How to graph inequalities?Treat the <, ≤, >, or ≥ as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either or. Graph the equation as a solid line if the inequality is either or. The xy plane is split along this line into two regions: one that fulfils the inequality and the other that does not.
Using the open instructions when we plot the inequality we see that x > 4 has an open circle at 4.
This indicates that we do not want to include 4 in our solution set.
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which polynomial function f(x) has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity 1, and root -5 with multiplicity 3?
The expression for f(x) is: \(f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)\)
We know that for any polynomial equation with roots:
\(a_{1}, a_{2}, a_{3} ,...\)
with multiplicity:
\(m_{1}, m_{2}...\)
the equation for the polynomial is given by:
\(f(x)=(x-a_{1}) ^{m_{1} }, (x-a_{2}) ^{m_{2} }...\)
If the leading coefficient is negative we may take '-' sign in the starting of the expression.
Here we are given that, f(x) has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity 1, and root -5 with multiplicity 3
Hence, f(x) is given by:
= \(f(x)=(x-(-4)) ^{1 }, (x-2) ^{1}, (x-9) ^{1},(x-(-5)) ^{3}\)
= \(f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)\)
Hence, the expression for f(x) is: \(f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)\)
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in college, we study large volumes of information - information that, unfortunately, we do not often retain for very long. the function f(x)
the percentage of information remembered at the moment it is first learned is 100%.
Function in mathematicsIn mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept.
Your question is incomplete but most probably your full question was:
In college, we study large volumes of information - information that, unfortunately, we do not often retain for very long. The function f(x) = 80e-0.5x + 20
describes the percentage of Q. information, p, that a particular person remembers x weeks after learning the information. Substitute 0 for x and find the percentage of information remembered at the moment it is first learned.
a 100%
b 95%
c 90%
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need to know the middle part
\(\Large\boxed{\tt Answer:~3x=2x+10;~x=10}\)
\(\tt Step-by-step~explanation:\)
Since it shows us that both ends of the segment in the middle bisects the sides of the triangle in the middle, we know that the segment in the middle is half of the hypotenuse (4x + 20).
\(\tt a)~ 3x =\frac{1}{2} (4x+20)\)
Let's solve the right side of the equation by distributing\(\tt 0.5 (4x+20)\\4x*0.5=2x\\20*0.5=10\\\\b)~2x+10;~3x=2x+10\)
Now, we can solve for x by moving the variable x to one side of the equation and everything else on the other side.
\(\tt 3x-(2x)=2x-(2x)+10\\\\c)~x=10\)
what is the cost of 1 apple and of 3 apples how do you know
Answer:
needs more context
Step-by-step explanation:
there's no independent variable
find the greatest number which divides32and56
Step-by-step explanation:
32 = 8 * 4
56 = 8 * 7
The GCF of 32 and 56 is 8.
To turn a decimal into a percent you move the decimal 2 spaces to which direction.
Answer:
Right
Step-by-step explanation:
You move the decimal to the right to make the decimal a whole number :)
Example below:
0.25
Move 2 places to the right
25%
Have a great day!!
Please rate and mark brainiest!!
Answer: You move the decimal point two spaces to the right.
Step-by-step explanation:
Multiply by 100.
help me out? :)
don't guess, if u dont know just dont answer. NO LINKS.
Answer:
A cube
Step-by-step explanation:
If you fold it, you'll see
100x100-000000000000000000000000000000000000000000000000000000000000000
10000
you mutpily it
Answer:
it is 10,000
Step-by-step explanation:
because you have 100 goups of 100
Please help.
Algebra.
Answer:
x = 1
Step-by-step explanation:
Yes, it indeed is 1
Toni drives a boat 15 km/h upstream and then turns around and drives 25 km/h back downstream to her
starting point. If her total driving time is 4 hours, for how long does she drive upstream? Write and solve an
equation to determine the answer. !!!PLEASE HELP!!!
Answer:
plz help
Step-by-step explanation:
please helpp I'll give brainiest
Answer:
q + q + 4
Step-by-step explanation:
q + q +4
What is the product of -6x3y5 and -4y2?
Answer: 2 y 2
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF). 2 y 2
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{24 {x}^{3} {y}^{7}}}}}} \)
Step-by-step explanation:
\( \sf{ ( - 6 {x}^{3} {y}^{5} ) \times ( - 4 {y}^{2}) }\)
Multiply the numbers and variables separately
\( \longrightarrow{ \sf{( - 6 \times ( - 4)) \times {x}^{3} \times {y}^{5} \times {y}^{2} }}\)
\( \longrightarrow{ \sf{24 {x}^{3} \times {y}^{5} \times {y}^{2} }}\)
Add the powers of the variables with same base
\( \longrightarrow{ \sf{24 {x}^{3} {y}^{5 + 2} }}\)
\( \longrightarrow{ \sf{24 {x}^{3} {y}^{7}}} \)
Hope I helped!
Best regards! :D
help on math in focus
Math in Focus, it's important to first understand the key components of the program, which include problem-solving strategies, critical thinking skills, and the use of real-world examples to reinforce concepts.
Math in Focus is a comprehensive math program designed to help students develop a deep understanding of mathematical concepts.
To get help with One way to get help with Math in Focus is to work with a tutor or teacher who is knowledgeable about the program and can provide personalized instruction and support.
Additionally, students can use online resources, such as practice problems and video tutorials, to reinforce their learning and gain additional practice. Finally,
it's important for students to stay organized and keep up with the pace of the curriculum, as Math in Focus builds on concepts throughout the school year. With these strategies in place, students can excel in Math in Focus and build a strong foundation in math.
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What goes to answer help
Answer:
1/1.27
Step-by-step explanation:
Jason has $90 to spend. He wants to purchase a bag for $35,one eraser for $10, and three pencils. Each of the pencils costs the same price. This will use up all of Jason's money. Determine the price of a pencil.
Answer:
1 pencil = $15
Step-by-step explanation:
Starting money = 90
Bag price = 35
Eraser price = 10
Price per 1 pencil = X
90 - 35 = 55
$55 after buying the bag.
55 - 10 = 45
$45 after buying the eraser.
45 ÷ 3 = 15
$15 dollars for each pencil.
3. Find \( y^{\prime} \) for the following implicit function \( y^{2}-x^{2} y=-2 \)
The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).
To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:
Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:
\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)
Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:
\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)
Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.
So, the differentiation of the entire equation is:
\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)
Now, let's rearrange the terms:
\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)
Simplifying further:
\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)
Factoring out:
\(\[(\frac{dy}{dx})(y - x) = 0 \]\)
Finally, solving:
\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)
Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.
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evaluate f (x) = -4x + 7 when x = 2 and x = -2
Answer:
- 1 and 15
Step-by-step explanation:
Substitute x = 2 and x = - 2 into f(x)
f(2) = - 4(2) + 7 = - 8 + 7 = - 1
f(- 2) = - 4(- 2) + 7 = 8 + 7 = 15
Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350. Use this information to answer the following questions. Record yo
The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.
The z score formula is given by;`z = (x - μ) / σ`
Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.
The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`
The value of z is 1.
To find the area in the right tail, use the standard normal distribution table.
The table value for z = 1.0 is 0.8413.
Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
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What are the coordinates of each point after quadrilateral EFGH is translated 3 units right and 2 units down?
Point E: (7, 3), Point F: (1, 3), Point G: (1, -2) and Point H: (7, -2) are the coordinates of each point.
To translate a point in the (x, y) coordinate plane, we add the translation distances to the x-coordinate and the y-coordinate of the point.
For each point in the quadrilateral EFGH, we can apply this translation as follows:
Point E: (4, 5) + (3, -2) = (7, 3)
Point F: (-2, 5) + (3, -2) = (1, 3)
Point G: (-2, 0) + (3, -2) = (1, -2)
Point H: (4, 0) + (3, -2) = (7, -2)
Therefore, after the translation of 3 units right and 2 units down, the coordinates of the points in quadrilateral EFGH are:
Point E: (7, 3)
Point F: (1, 3)
Point G: (1, -2)
Point H: (7, -2)
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Find the values of x for which the following equation is true. |x| = 10 For what values of x is this equation true? (Use a comma to separate answers as needed.)
The equation |x| = 10 is true when x equals 10 or -10. The absolute value of a number x, denoted as |x|, represents the distance between x and the origin on a number line.
In this equation, we have |x| = 10, which means the distance between x and the origin is 10 units.
Since distance is always positive, the equation |x| = 10 can be satisfied when x is either 10 units to the right of the origin (x = 10) or 10 units to the left of the origin (x = -10).
Therefore, the values of x for which the equation is true are x = 10 and x = -10.
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what conditions are required for the inference, part b, to be valid? are these conditions reasonably satisfied?
For the inference in part b to be valid, the conditions required are reasonable satisfaction.
To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.
However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.
These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.
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Find the arithmetic mean of the numbers. -16, -9, and 4
Answer:
-7
Step-by-step explanation:
Applying the multiple regression model on Sacramento Apartment dataset, predict rent price for a 1-bedroom apartment in Sacramento Area, considering the availability of Fitness Center, Parking Space, and Wireless Internet. In particular, make sure to address the following questions, Is this a high-performance model? (hint: R-square)? Is there a collinearity problem with the model? Are the estimated betas significant (hint: t-test)? What do they imply? How do you interpret the meaning of the estimated coefficient for Fitness Center? How much would the rent price for a 1-bedroom apt be, if the apartment complex has a Fitness Center, Parking Space, and Wireless Internet?
The R-squared value, check for collinearity, test for the significance of the beta coefficients, interpret the meaning of the estimated coefficient for Fitness Center, and use the multiple regression model to predict the rent price for a 1-bedroom apartment in Sacramento Area.
To predict the rent price for a 1-bedroom apartment in Sacramento Area, we can use the multiple regression model on the Sacramento Apartment dataset. This model considers the availability of Fitness Center, Parking Space, and Wireless Internet as predictors.
First, we need to check the performance of the model. The R-squared value indicates the proportion of variance in the rent price that is explained by the predictors. A higher R-squared value indicates a better performance of the model. If the R-squared value is close to 1, it means that the model explains almost all the variability in the rent price. Therefore, we need to calculate the R-squared value to determine if this is a high-performance model.
Second, we need to check if there is a collinearity problem with the model. Collinearity occurs when the predictor variables are highly correlated with each other, which can lead to unreliable estimates of the regression coefficients. We can check the correlation matrix to detect any high correlations between the predictor variables.
Third, we need to check the significance of the estimated betas. The t-test can be used to determine if the estimated beta coefficients are significantly different from zero. A significant beta coefficient indicates that the corresponding predictor variable has a significant effect on the rent price. The magnitude and sign of the beta coefficient indicate the direction and strength of the relationship between the predictor variable and the rent price.
Regarding the estimated coefficient for Fitness Center, a positive coefficient would indicate that the presence of a fitness center is associated with higher rent prices, while a negative coefficient would indicate the opposite. We can interpret the meaning of the estimated coefficient by looking at its magnitude and sign.
Finally, we can use the multiple regression model to predict the rent price for a 1-bedroom apartment in Sacramento Area with the given predictor variables. By plugging in the values for Fitness Center, Parking Space, and Wireless Internet, we can obtain an estimate of the rent price for the apartment.
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A membership to the local gym costs $40 and $2 per visit. Tell what type of function is it and also write the equation for it.
Answer:
y=2x+40
linear function with the y-intercept at 40
Step-by-step explanation:
Answer:
linear function
y = 2x + 40
Step-by-step explanation:
This is a linear function since for an equal change of the input (number of visits) you get an equal change in the output (the cost).
The fixed cost is $40.
The variable cost is the $2 per visit.
For x visits, the cost of the visits is 2x.
Now you add the $40 fixed cost to the variable cost to get 2x + 40.
Let y = total cost and x = number of visits.
The equation of the linear function is:
y = 2x + 40
Carson wants to divide 128 by 3.2. What is the place value of the first digit in his answer?
tenths
ones
tens
hundreds
Answer:Tenths
Step-by-step explanation:Hope it helps
Does anyone know what the answer is
Answer:
cheating in entrance
Step-by-step explanation:
circumference: 14π
area: 49π
Answer:
nope
Step-by-step explanation: