Simplify these expressions
a) 13x+2y-10x-7y
Answers
Answer:
3x-5yStep-by-step explanation:
Expression given:
13x+2y-10x-7ySimplifying,
13x+10x+2y-7y ← Collecting like termsCalculating,
3x+(-5y)3x-5y\( \large \underline{ \underline{\mathfrak{Solution}}}\)
\(\sf{13x+2y-10x-7y}\)
\(\Longrightarrow\sf{3x+2y-7y}\)
\(\Longrightarrow\sf{3x-5y}\)
-----------------------------------------------------------
Related Questions
Write in Standard Form. 3x2 4x + 7x3 + 1
Answers
The Standard Form of the polynomial function 3x^2 4x + 7x^3 + 1 is 7x^3 +3^2 +4x + 1
What is the meaning of the Standard Form of polynomial function?The meaning of the Standard Form of polynomial function can be explained as when the terms are in this equation or functions are be written in descending order of exponents.
This is usually done starting from the from left to right, we were given the function as :3x^2 +4x + 7x^3 + 1 , then let us arrange it as:
7x^3 +3^2 +4x + 1
Therefore, the Standard Form of polynomial function is 7x^3 +3^2 +4x + 1 .
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Quis
Jika
A= 2
B= 3
D=2
maka
A x B ÷C
Answers
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
If cos f° = four ninths and the measure of segment xw is 16 units, what is the measure of segment xy? triangle xyw in which angle w is a right angle, angle x measure f degrees, and angle y measures d degrees 16 units 27 units 30 units 36 units
Answers
The measure of the segment xy of the given right angle triangle is; 36 units
How to use trigonometric ratios?This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;
Cos f = Adjacent / Hypotenuse
Thus;
Cos f = 4/9
From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;
4/9 = 16/XY
Where XY is the unknown side
By cross multiplication, you now arrive at,
4XY = 9 * 16
XY = 144/4
XY = 36
Therefore, XY measures 36 units
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Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Answers
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
Answers
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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2(3 + 2) whats the answer lol
Answers
Answer:
10 thats the answer
Step-by-step explanation:
3+2=5×2=10
A large university provides housing for 15 percent of its graduate students to live on campus. The university’s housing office thinks that the percentage of graduate students looking for housing on campus may be more than 15 percent. The housing office decided to survey a random sample of graduate students, and 78 of the 433 respondents say that they are looking for housing on campus. a) On the basis of the survey data, would you recommend that the housing office consider increasing the amount of housing on campus available to graduate students? Give appropriate evidence to support your recommendation. [Conduct a hypothesis test: State,Plan, Do,Conclude] b) Interpret the p-value obtained in part a) in context. c) In addition to the 433 graduate students who responded to the survey, there were 21 who did not respond. If these 21 had responded, is it possible that your recommendation would have changed? Explain. d) Describe what a Type II error would be in the context of the study, and also describe a consequence of making this type of error. e) Describe what a Type I error would be in the context of the study, and also describe a consequence of making this type of error.
Answers
a) Hypothesis test:
Null hypothesis (H0): The percentage of graduate students looking for housing on campus is equal to 15%.
Alternative hypothesis (Ha): The percentage of graduate students looking for housing on campus is greater than 15%.
To test the hypothesis, we can use a one-sample proportion test. We will calculate the test statistic and compare it to the critical value or p-value to make a decision.
The observed proportion of graduate students looking for housing on campus is 78/433 = 0.1804.
Using a significance level (α) of 0.05, we will conduct the test and calculate the test statistic and p-value.
Plan:
Test statistic: z = (p - p) / sqrt(p(1-p)/n)
where p is the observed proportion, p is the hypothesized proportion (0.15), and n is the sample size (433).
Do:
Calculating the test statistic:
z = (0.1804 - 0.15) / sqrt(0.15 * 0.85 / 433)
z ≈ 2.07
Conclude:
Since the test statistic is 2.07, we compare it to the critical value or calculate the p-value.
The critical value for a one-sided test with a significance level of 0.05 is approximately 1.645. Since 2.07 > 1.645, the test statistic falls in the rejection region.
The p-value associated with the test statistic of 2.07 is less than 0.05. Therefore, we reject the null hypothesis.
Based on the survey data, there is evidence to suggest that the percentage of graduate students looking for housing on campus is greater than 15%. The housing office should consider increasing the amount of housing available to graduate students.
b) The p-value obtained in part a) represents the probability of obtaining a test statistic as extreme as the one observed (or more extreme), assuming the null hypothesis is true.
In this case, the p-value is less than 0.05, which suggests strong evidence against the null hypothesis. It indicates that the observed proportion of graduate students looking for housing on campus is significantly higher than the hypothesized proportion of 15%.
c) Including the 21 non-respondents would change the sample size and potentially affect the estimated proportion. If these additional respondents had similar characteristics to the 433 who responded, it is possible that the recommendation might still remain the same.
However, the exact impact depends on the responses of the non-respondents, so it is difficult to determine the precise effect without their data.
d) Type II error in this study would occur if the housing office fails to increase the amount of housing on campus when it is actually necessary (i.e., the percentage of graduate students looking for housing on campus is higher than 15%).
This means the null hypothesis would not be rejected when it should have been. A consequence of this type of error would be the unmet demand for housing, potentially causing dissatisfaction among graduate students and a shortage of available housing options.
e) Type I error in this study would occur if the housing office increases the amount of housing on campus when it is not necessary (i.e., the percentage of graduate students looking for housing on campus is not higher than 15%). This means the null hypothesis would be rejected incorrectly.
A consequence of this type of error would be allocating resources and efforts towards increasing housing capacity unnecessarily, which could result in wastage of resources and potentially impact other areas of the university's operations.
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Dave borrowed $600 on January 1,2022 The bonk charged him a $6.40 service charge, and interest was $44.90 if Dave paid the $600 in 12 equal monthiy payments, what was the APR? Note: Do not round intermediate calculations. Enter your answer as o percent rounded to 1 decimal place. Dorothy lacks cash to pay for a 5840.00 dishwasher. She couid buy it from the store on credit by making 12 monthly poyments of $7125. The totat cost would then be $855.00 instead. Dorothy decides to deposit $70.00 a month in the bank until the has saved enough money to pay cash for the dishwasher, One year later, she has saved $898.80−584000 in deposits plus interest When she goes back to the store, she finds the dishwasher now costs $90888 its price has gone up 820 percent. Was postponing her purchase a good trade-off for Dorothy?
Answers
The increase in price (8.20%) is less than the interest she would have paid (12 payments of $7125), it seems that postponing her purchase and saving money was a good trade-off for Dorothy.
The APR (Annual Percentage Rate) for Dave's loan can be calculated
using the formula:
APR = ((Total interest + Service charge) / Principal) * 100
In this case, the total interest is $44.90 and the service charge is $6.40.
The principal is $600. Plugging these values into the formula:
APR = (($44.90 + $6.40) / $600) * 100
Simplifying the equation:
APR = ($51.30 / $600) * 100
APR = 8.55%
For Dorothy, if she bought the dishwasher on credit, the total cost would
be $855.00 after making 12 monthly payments of $7125.
However, if she saved $70.00 a month for one year, she would have
$898.80 in deposits plus interest.
When she goes back to the store, the dishwasher now costs $908.88,
which is an increase of 8.20%.
Since the increase in price (8.20%) is less than the interest she would
have paid (12 payments of $7125), it seems that postponing her purchase
and saving money was a good trade-off for Dorothy.
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PLZZZ HELPP 3+7 - 1/2 is an example of
A. a numerical equation
B. an algebraic equation
C. a numerical expression
D. an algebraic expression
Answers
if 10000 eggs hatched, what is the probability that at least 5140 hens how many roosters would you expect
Answers
The probability of having at least 5140 hens from a hatching of 10000 eggs is 50%, and with a 50/50 gender split, that means there would be at least 2570 roosters.
The probability of having at least 5140 hens from a hatching of 10000 eggs can be calculated by taking the total number of possible combinations of hens and roosters (10000) and dividing it by the number of possible combinations of 5140 hens and the remainder of roosters (4960). This gives us a probability of 0.50 or 50%. Since we know that a 50/50 gender split is expected in a hatching, this means that of the 10000 eggs hatched, we would expect at least 5000 to be hens, and the remaining 5000 to be roosters. Since we know that at least 5140 of the eggs hatched are hens, then the remaining 4960 eggs must be roosters. This means that at least 2570 of the eggs hatched are roosters.
10000 / (5140 + 4960) = 0.50 = 50%
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x + 9 = 18 + -2x what does x epual
Answers
Answer:
x = 3
Step-by-step explanation:
Step 1: Write out equation
x + 9 = 18 - 2x
Step 2: Add 2x on both sides
x + 2x + 9 = 18 - 2x + 2x
3x + 9 = 18
Step 3: Subtract 9 on both sides
3x + 9 - 9 = 18 - 9
3x = 9
Step 4: Divide both sides by 3
3x/3 = 9/3
x = 3
hi please help i’ll give brain
Answers
Answer:
The GCF is going to be 30
Step-by-step explanation:
This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 21, 2 × 3 × 3 × 5= 90
The prime factorization of 28, 2 × 3 × 5 × 7 = 210
The common factors are, 2, 3, and 5. We multiply those to get the GCF.
2 × 3 × 5 = 30
twelve less than the product of three and a number
Answers
The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.
The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.
Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.
For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.
To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.
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6. A popular social media influencer starts wearing beanies every day. What happens to the market for
beanies today?
Circle One:
a. Increase in Supply
b.
Decrease in Supply
c.
Increase in Demand
d. Decrease in Demand
Factor Shifting the curve?
Circle One: Equilibrium price has increased or decreased
Answers
C) Assessment Practice
19. A middle school with x students conducted a survey to determine students'
Tuesday afternoon activities.
Answers
helpppp please !!!!
Answers
Answer:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Which equation can be used to find the solution of (1/4)^y+1=64?
−y−1=3
y + 1 = 3
−y+1=3
y−1=3
Answers
Answer:
−y−1=3
Step-by-step explanation:
Which equation can be used to find the solution of (1/4)^y+1=64?
This can be solved by power of indices
(1/4)^(y+1)=64
(4^-1)^(y + 1)= 4^3
Note
(x^a)^b = x^ab
Hence:
4^(-1)(y + 1)= 4^3
4^-y - 1 = 4^3
Divide both sides by 4
−y−1=3
Hence, the equation that can be used to find the solution of (1/4)^y+1=64 is
−y−1=3
Answer:
-y-1=3
Step-by-step explanation:
took the test and got it correct
How many solutions does the following equation have?
[3x + 12]= 18
A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions
Answers
Answer:
B. One solution
Step-by-step explanation:
subtract 12 from both sides
\(3x=18-12\)
subtract 12 from 18
\(3x=6\)
divide each term by 3
\(\frac{3x}{3} =\frac{6}{3}\)
\(x=\frac{6}{3}\)
divide 6 by 3
\(x=2\)
If tori decides to make 200 chocolate chip cookies and no vanilla sprinkle cookies, which constraint would be binding?.
Answers
Oven hours are a binding constraint because Tori needs 0.04 x 200, or 8 hours, to manufacture 200 chocolate chips, and the same is true for the upper-level restriction.
Binding restrictions are those whose removal would lead to the largest advances in entrepreneurship and growth. Some locations are unbound. The dual value measures how much the objective function's value rises for each additional unit of the variable's value. A constraint's dual value only deviates from zero when it equals its bound.
This is a binding constraint, and during optimization, its value was pushed as close as possible to the bound. If your answer matches the Right-Hand Side (RHS) of the inequality, the constraint is BINDING. If your response does not match the RHS of the inequality, the constraint is NON-BINDING.
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What is 4 less than the quotient of x and 3?
Answers
Answer:
Step-by-step explanation:
Quotient means divide. So you are dividing x by 3 written as x/3
Then you subtract 4
x
===== - 4
3
convert totalinches to yards, feet, and inches, finding the maximum number of yards, then feet, then inches. ex: if the input is 50, the output is:
Answers
By finding the maximum number of yards, then feet, then inches, if the input is 50, then the output is 1 yard, 4 feet, and 2 inches.
Conversion from inches to yard, and feetTo convert a length in inches to yards, feet, and inches
Note the followings:
There are 12 inches in a foot and 3 feet in a yard.
Divide the total length in inches by 36 (the number of inches in a yard) to find the number of yards, then take the remainder and divide it by 12 to find the number of feet, and finally take the remaining inches.
Given that, the input is 50 inches, the output will be
Maximum number of yards: 1 (since 36 inches is the largest multiple of 36 that is less than or equal to 50)
Maximum number of feet: 4 (since there are 12 inches in a foot, the remainder after dividing by 36 is 14, which is equivalent to 1 foot and 2 inches)
Remaining inches: 2 (since there are 12 inches in a foot, the remainder after dividing by 12 is 2)
Therefore, 50 inches is equivalent to 1 yard, 4 feet, and 2 inches.
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Find the area of the shaded region if the dimensions of the unshaded region are 12ft x 20ft . use 3.14 for π as necessary.
Answers
The area of the shaded region = 810.66 ft²
What is rectangle?
A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.Area of Shaded region:
(12+2*7)*20 - 12*20 + 3.14*((12+2*7)/2)² =
14*20 + 530.66 =
810.66 ft²
Therefore, the area of the shaded region = 810.66 ft²
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An78swer:
Step-by-step explanation:
What is a residual for a multiple regression model and the data that is used to create it? select one.
Answers
The difference between the actual value of the response variable and the corresponding predicted value(regression error) using the multiple regression model is the correct option.
A residual is a measurement of the vertical distance between a point and the regression line. It is just the discrepancy between an actual value observed and a value that was projected.
To ensure that the requirements for making conclusions about the coefficients in a linear model have been met, one should always perform a residual analysis.
In regression analysis, a residual is the discrepancy between an observed value and a predicted value.
It is determined by,
Residual = Observed value – Predicted value
The residual is the discrepancy between the expected value and the actual value.
Observed value minus predicted value equals residual.
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PLEASE HELPP I WILL GIVE BRAINLIEST
Answers
Answer:
Circle- A=pir^2
Rec- A= bh
Parrelogram= bh
Triangle= 1/2 bh
Step-by-step explanation:
Answer:
A = 1/2bh goes to triangle
A = πr^2 goes to circle
A = bh goes to paralellogram
A = bh goes to rectangle
Hope it helps
Step-by-step explanation:
how many pounds of sunflower seed does the mixture contain?
Answers
Explanation
In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.
We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;
\(x+y=5----(1)\)Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;
\(2.50x+1.75y=11.60----(2)\)We will then solve the above equation simultaneously.
\(\begin{gathered} \text{Isolate x for x+y =5} \\ x=5-y-----(3) \end{gathered}\)Insert equation 3 in equation 2
\(\begin{gathered} 2.50(5-y)+1.75y=11.60 \\ 12.5-0.75y=11.6 \\ 0.75y=12.5-11.6 \\ 0.75y=0.9 \\ y=\frac{0.9}{0.75} \\ y=1.2 \end{gathered}\)Since the weight of the sunflower seed is represented by y, therefore the answer is;
Answer: 1.2 pounds
(a) We would like to know if Intel's stock and Southwest Airlines' stock have similar rates of return. To find out, we take a random sample of 50 days, and record Intel's and Southwest's stock on those same days.
Answers
Thus, to determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can use a statistical analysis of the daily rate of return for each stock over a 50-day period. However, the small sample size means that we must be cautious when interpreting the results.
To determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can conduct a statistical analysis using the sample data collected. The sample size of 50 days is relatively small, so we must be cautious when interpreting the results.
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HOW CAN I SOLVE THIS ASAP??
Answers
josh was preparing a speech about home real estate and wanted to give an idea how home prices had fallen in all seven recognized neighborhoods in his city. he found that the rounded percentage decreases were 3, 3, 5, 6, 7, 7, and 19. why would using the mean, or average, decrease be misleading?
Answers
The mean of the decrease in rounded percentage of home is 7.14 which would used as misleading the about data as raw data very far away from 7.14.
As given in the question,
Given rounded percentage decrease in home price is:
3, 3, 5, 6, 7, 7, 19
Mean of the rounded percentage
= ( Sum of all the values)/ (Number of values)
= ( 3 + 3 + 5 + 6 + 7 + 7 + 19) / 7
= 50 /7
=7.1428
= 7.14
7.14 is very far away from 3 and 19.
Mean is not representing the correct information of the home price.
Using mean is misleading the correct information about percentage decrease.
Therefore, value of the mean is equal to 7.14 which mislead the decrease percentage.
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The population of a town has been growing, following the equation P=400t+3000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+35.
Complete an equation for the number of restaurants per capita (per person)
Restaurants per capita: ______
How many restaurants per capita does this model predict for the year 2016?_______
Please also explain it to me, only if you can! Thank you!
Answers
Step-by-step explanation:
t is time since 2010. so,
the population prediction for 2016 is :
p= 400 ( 2016-2010)+3000
p= 400 (6) + 3000=5400
the number of restaurant prediction for 2016 is.
R=6(2016-2010)+35
R=6 (6)+35=71
so, per capita (per person) there would be:
71 restaurant for 5400.
people that is :71/5400 or 0.0131 restaurant per person.
per restaurant there would be,5400/71 or 76.056 per restaurant.
population corresponding to time (t).
=( R/ P) = (6t + 35). / 400t + 3000, where t= 2016-2010= 6 years
= 71/5400
= 0.0131
Restaurant per capita
R/P = (6t+35) / (400t + 300)
t= 2016-2010 =16
R/P = (6.16+35) /(400.16+3000)
= 131 (6400+3000)
=85/9400
=0.009042
Twelve randomly chosen students were asked how many times they had missed class during a certain semester, with this result: 2, 1, 5, 1, 1, 3, 4, 3, 1, 1, 5, 18. For this sample, which measure of center is least representative of the "typical" student?
Mean
Median
Mode
Midrange
Answers
The measure of center which is the least representative of the "typical" student is midrange (9.5)
To determine which measure of center is least representative of the "typical" student among twelve randomly chosen students who reported their missed classes during a certain semester, we need to calculate the mean, median, mode, and midrange of the data provided: 2, 1, 5, 1, 1, 3, 4, 3, 1, 1, 5, 18.
Mean: (2 + 1 + 5 + 1 + 1 + 3 + 4 + 3 + 1 + 1 + 5 + 18) / 12 = 45 / 12 = 3.75
Median: To find the median, first order the data: 1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 5, 18. Since there are an even number of data points, the median is the average of the two middle numbers: (2 + 3) / 2 = 2.5
Mode: The number that appears most frequently in the data is 1.
Midrange: The midrange is the average of the smallest and largest numbers in the dataset: (1 + 18) / 2 = 9.5
The midrange (9.5) is the least representative of the "typical" student because it is heavily influenced by the outlier (18), which skews the result.
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