Lo que hicimos fue operar los terminos semejantes, es decir, los que poseen la letra a y los que poseen la letra x, por separado.
4. Which expression is equivalent
to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP
Answer:
d. 10a + 5bStep-by-step explanation:
5(a + a + b) = 5(2a + b)
use the distributive property:
a(b + c) = ab + ac
= 5 · 2a + 5 · b =10a + 5b
Answer:
\(\boxed{\sf{D. \quad 10a+5b}}\)
Step-by-step explanation:
Use a distributive property.
Distributive property:
\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)
⇒ 5(a+a+b)⇒ a+a=2a
Rewrite the problem down.
\(\Longrightarrow: \sf{5(2a+b)}\)
Multiply should be expanded.
⇒ 5*2a=10a
⇒ 5*b=5b
Rewrite the problem.
⇒ = 10a+5b
Therefore, the final answer is 10a+5b.I hope this helps you! Let me know if my answer is wrong or not.
Find the measure of angle x in the figure.
Answer:
8
Step-by-step explanation:
We know that angles in a triangle add up to 180, so:
5x-60+2x+40+3x-80=180
Simplify
10x-100=180
Solve
Subtract 100 from both sides
10x=80
Divide 80 by 10 to find x
x=8
Is triangle a parallelogram
Answer:
no
Step-by-step explanation:
Answer:
No, a parallelogram means that the opposite sides don't meet (are parallel), so a triangle isn't. A triangle has only three sides, and they all meet up.
Step-by-step explanation:
solutions of x^2-4=0
Answer:
x^2 - 4 = 0
x^2 = 4
x^2 = +- 2
x = -2 x=2
Select the correct answer.
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
O A. The graph of h is the graph of g horizontally shifted left 1 unit.
OB.
The graph of h is the graph of g vertically shifted down 1 unit.
The graph of h is the graph of g vertically shifted up 1 unit.
The graph of h is the graph of g horizontally shifted right 1 unit.
O C.
O D.
Reset
Next
The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
The correct answer is:
B. The graph of h is the graph of g vertically shifted up 1 unit.
Explanation:
The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).
When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.
In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).
Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).
The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.
The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.
The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.
Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
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Solve for x: \(3(x + 1) = - 2(x - 1) + 6\)A. 1B. 4C. 5D. 25
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
3(x + 1) = - 2(x - 1) + 6
x = ?
Step 02:
3(x + 1) = - 2(x - 1) + 6
3x + 3 = -2x + 2 + 6
3x + 2x = 8 - 3
5x = 5
x = 5 / 5
x = 1
The answer is:
x = 1
For which of the following situations is a simple linear regression model appropriate? Multiple choice question. The explanatory variable x is influenced by one response variable. The response variable y is influenced by two or more explanatory variables. The response variable y is influenced by one explanatory variable. The explanatory variable x is influenced by two or more response variables.
A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.
A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).
It is suitable when we want to understand how changes in the explanatory variable affect the response variable.
In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.
This means that the relationship between y and x can be adequately described by a straight line.
The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.
If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.
Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.
Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.
Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.
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There are 240 girls at the park. There are 360 more boys than girls at the park.How many boys are at the park?
Answer:
240+360=600
there are 600 boys at the park
Step-by-step explanation:
Answer:
Hello! Answer: Theres 600 boys at the park
Step-by-step explanation:
240 + 360 = 600
Hope this helps!
One group of subjects was given an herbal supplement and another group was given a placebo. After one year, the number of illnesses each group had was compared.
answer choices
- Observational Study
- Experiment
The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .
What is Observation and Experiment ?The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.
Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.
An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.
The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .
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What type of number is -13
Answer:
Personally its a negative real‼️‼️
Plot 25/3 and 42/3 on the number line.
Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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1 m cube is equal to how many centimetre cube?
Answer:
1,000,000 cm³
Step-by-step explanation:
A cube has 3 dimensions of equal measure: length, width and height
To determine the volume of a cube, we multiply the dimensions:
⇒ volume of a cube = length × width × height
1 metre = 100 centimetres
Therefore, for a cube with a length, width and height of 100 cm:
⇒ volume = 100 cm × 100 cm × 100 cm
= 1,000,000 cm³
How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
a. g(x) is shifted 8 units to the left and 3 units up.
b. g(x) is shifted 3 units to the right and 8 units down.
c. g(x) is shifted 8 units to the right and 3 units up.
d. g(x) is shifted 3 units to the right and 8 units up.
Answer:
The right answer is C.
Step-by-step explanation:
The parent function is:
\(f(x)=x^3\)
If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.
\(f(x)=(x-8)^3\)
graph shifted toward right by \(8\) units right
\(f(x)=(x-8)^3+3\)
graph shifted toward right by \(3\) units up
Thus the new function is:
\(g(x)=(x-8)^3+3\)
i decided to buy. car for $15,999. i have $1,000 saved for a down payment. how much of the cost of the car will i finance?
Answer:
On average, they get an APR of 2.89%, which obliges them to pay the following amounts monthly on a $15,000 loan: 12 months. $1269.25.
Step-by-step explanation:
Which value for R in the table would most likely indicate an association between the conditional variables? 0. 09 0. 10 0. 13 0. 79.
The value for R in the table which is most likely to indicate an association between the conditional variables is 0.79.
What is an association between the conditional variables?The association between the conditional variables, exist when the relative frequencies between the two variables are not similar.
The more the difference in the values shows the stronger the association between two.
The table given in the problem is attached below. The given option for the R value in the table is, 0.09, 0.10, 0.13, and 0.79.
As it is known that the bigger the difference, gives the stronger the association. Here, the R value with 0.79 is the most opposite to the value above the R.
Hence, the value for R in the table which is most likely to indicate an association between the conditional variables is 0.79.
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Answer:
D)
Step-by-step explanation:
Which numbers have 23 as their absolute value?
I need help like fast- pls
Answer:
- 23 and 23
Step-by-step explanation:
Absolute value is the distance from a number to zero on a number line. Absolute value is always positive.
- 23 is 23 space away from 0, and so is 23.
can someone help me with this i will give brainlest
Question 2 (10 marks) You have studied very hard in MMGT6012 and fuelled by a passion for data and analysis you have obtained employment in the Council of the European Union as a data protection officer. Your role is to ensure that all organisations (big and small) are adhering to the General Data Protection Regulation (GDPR). You have noticed that the way in which EU Inspectors are assigned to organisations is inefficient and, being so passionate about data, you decide to work out an inspection schedule that is far superior. There are two types of businesses that the EU needs to inspect; those that are classified as large and those which are small, and inspections are conducted in teams of three people (one person to inspect the systems and servers (who has 28 hours of time per week), another to examine data handling processes (available time of 30 hours per week): and a third to check the governance and documentation surrounding data privacy (36 hours per week of available time). You estimate that it takes 4 hours to inspect the servers of a small business and 2 hours to inspect a large business (since small businesses have less organised systems), 2 hours to inspect the data handling processes of a small business and 6 hours for a large business, and lastly governance inspection takes approximately 4 hours for a small business and 6 hours for a large business. Q2A) What are the decision variables? Q2B) What is the (verbal and mathematical) objective function? Q2C) What are the (verbal and mathematical) constraints? Q2D) What is the optimal value of the objective and how is it achieved? Q2E) What recommendations do you have for the EU based on all the output that you can generate from solving a Linear Programming problem in Excel? Q2F) How could you improve this analysis given the results of the linear programming model? Submit Assignment
The objective is to minimize the number of inspection teams needed while accounting for available resources and inspection times. The optimal solution is found using a software tool like Excel Solver.
Q2A) The decision variables are the number of small and large businesses to assign to each inspection team.
Q2B) The objective function is to minimize the total number of inspection teams needed to inspect all small and large businesses, which can be expressed mathematically as:
Minimize: x_s + x_l
where x_s is the number of inspection teams assigned to small businesses and x_l is the number of inspection teams assigned to large businesses.
Q2C) The constraints are:
- The total number of hours available for each type of inspection team cannot be exceeded:
28x_s + 30y_s + 36z_s ≤ total hours available for server inspection team
2x_s + 6y_s + 6z_s ≤ total hours available for data handling inspection team
4x_s + 6y_s + 4z_s ≤ total hours available for governance inspection team
- The number of small and large businesses must be non-negative:
x_s, x_l ≥ 0
Q2D) To find the optimal value of the objective function, we can solve the linear programming problem using an appropriate software tool such as Excel Solver.
Q2E) Based on the output generated from solving the linear programming problem, the EU can optimize their inspection schedule by assigning the calculated number of inspection teams to the small and large businesses.
Q2F) To improve this analysis, we could consider additional factors such as the location of the businesses, the level of risk associated with each business, and the experience of the inspection teams.
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inverse sine is used to find a given angle measure when we know the _ and the _
Answer:
opposite side of an angle
hypotenuse
to calculate the average of the numeric values in a list, the first step is to get the total of values in the list.
True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.
Steps to calculate the Average:
Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.
To find the average we first have to take the total of all values.
2+8+22+48=80.
Our next step will be to divide this total by the number we have in our question i.e., 4.
so, our average will be 80/4= 20.
So, 20 will be our average.
So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.
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(DESPERATE PLEASE HURRY)
question down below
please show the work
Answer: i’m guessing you’re just supposed to solve for v? ok
first add 17 to both sides which will eliminate it from the right side
-29+17=v
-29 plus 17 is -12 so
v=-12
Step-by-step explanation:
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) based on the number of months.
a. y = 25x + 100
b. y = 100x + 25
c. y = 25 + 100x
d. y = 100 + 25x
The correct answer is option A which is y = 25x + 100.
Given the following:
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month
We need to write an equation for the cost (y) based on the number of months.
To solve the above problem, the answer is;a. y = 25x + 100
Explanation; Let's break down the problem
The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months
Therefore the correct answer is option A which is;y = 25x + 100.
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To join a local square dancing group,
Jan has to pay a $100 sign-up fee plus $25 per month.
The equation for the cost (y) based on the number of months is
y = 25x + 100,
where x is the number of months.
Option A is the correct equation for the cost based on the number of months.
Writing the equation:
y = 25x + 100
Where:
y = Cost based on the number of months
x = Number of months
Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:
$25 * 1 + $100 = $125
And if Jan has been a part of the group for 4 months, then the total cost would be:
$25 * 4 + $100 = $200
Therefore, option A is the correct answer.
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tripling the linear size of an object multiplies its area by
Tripling the linear size of an object multiplies its area by a factor of nine.
When the linear size of an object is tripled, the area of the object is multiplied by 9.
This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.
Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:
A' = (3L)^2
A' = 9L^2
Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.
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Which ratios are equal to 4:32? Select all that apply. PLS HELPPPP
The ratios equal to 4:32 are 1:8 and 2:16.
What is a Ratio?A ratio indicates the number of times one number contains another.
The given ratio is 4 : 32.
Note that the ratio remains unchanged if it is multiplied or divided by the same number, therefore,
The ratios equivalent to 4:32 are:
4:32
= 1 : 8
= 2 : 16
The ratios equal to 4:32 are 1:8 and 2:16.
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expression is equivalent to 6(3n-4)
9n-10
18n-24
18n-4
3n-24
ty everyone who is helping me I don't under stand how to do this so ya ...
Step-by-step explanation:
6(3n - 4)
= 6(3n) - 6(4) (by distributive law)
= 18n - 24.
Charlie lives halfway between Chicago and Hoopertown. Amanda lives halfway between Charlie and Chicago. Raymond lives between Charlie and Hoopertown. All three houses lie on a straight line from Chicago to Hoopertown. If Raymond lives 15 miles from Amanda and 23 miles from Chicago, how far does he live from Hoopertown?
Answer:
Let's assume that the distance between Chicago and Hoopertown is represented by 'x' miles.
According to the given information:
Raymond lives 23 miles from Chicago, so the distance between Amanda and Chicago is 23 - 15 = 8 miles.
Since Amanda lives halfway between Charlie and Chicago, the distance between Charlie and Chicago is also 8 miles.
Therefore, the distance between Charlie and Hoopertown is x - 8 miles.
Since Charlie lives halfway between Chicago and Hoopertown, the distance between Raymond and Charlie is (x - 8) / 2 miles.
Given that Raymond lives 15 miles from Amanda, we can set up the following equation:
(x - 8) / 2 = 15
To solve for x, we can multiply both sides of the equation by 2:
x - 8 = 30
Next, we can isolate x by adding 8 to both sides of the equation:
x = 38
Therefore, the distance between Chicago and Hoopertown (x) is 38 miles.Therefore, the distance between Chicago and Hoopertown (x) is 38 miles.Since Raymond lives 23 miles from Chicago, he lives (38 - 23) = 15 miles from Hoopertown.Therefore, the distance between Chicago and Hoopertown (x) is 38 miles.Since Raymond lives 23 miles from Chicago, he lives (38 - 23) = 15 miles from Hoopertown.Thus, Raymond lives 15 miles from Hoopertown.Which decimal is equivalent to 311
Answer:
3.11
Step-by-step explanation:
Answer:
0.622
Step-by-step explanation:
Solve each equation. Check for extraneous solutions.√x+6 +2=x+6
The solution for the equation √x + 6 + 2 = x + 6 is 4.
An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
A formula known as an equation uses the equals sign (=) to express how two expressions are equal.
Consider the equation,
√x + 6 + 2 = x + 6
Subtracting 6 from each side of the equation.
√x + 6 + 2 - 6 = x + 6 - 6
√x + 2 = x
Subtracting 2 from each side.
√x + 2 - 2 = x - 2
√x = x - 2
Squaring the above equation.
( √x )² = ( x - 2 )²
x = x² - 4x + 4
x² - 5x + 4 = 0
x² - x - 4x + 4 = 0
x( x - 1 ) - 4( x - 1 ) = 0
( x - 1 )( x - 4) = 0
x = 1, 4
Checking for extraneous solutions,
x = 1
√x + 6 + 2 = x + 6
√1 + 6 + 2 = 1 + 6
9 ≠ 7
Hence, x = 1 is not a solution.
For, x = 4
√x + 6 + 2 = x + 6
√4 + 6 + 2 = 4 + 6
2 + 6 + 2 = 4 + 6
10 = 10
The solution of equation √x + 6 + 2 = x + 6 is x = 4.
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The segment AC is?
A- the adjacent
B- the hypotenuse
C- The opposite
D- The tangent
Answer:
B
Step-by-step explanation:
the hypotenuse........
Answer:
B
Step-by-step explanation:
The hypotenus is always opposite to the right and angle and always the longest side