Answer:
measure of angle p=
94
Step-by-step explanation:
ok 5 sided polygon= 540
so put all of those equal to 540
need to find x first
540=132+(4x-10)+(5x-11)+128+(4x+2)
simplify and combine like terms
x=23
now plug in for angle p
(4(23)+2)
94
Determine whether each pair of expressions is equivalent. Explain your reasoning.
The answer is:
\(\large\textbf{They aren't equivalent.}}\)
In-depth explanation:
To determine the answer to this problem, we will use one of the exponent properties:
\(\sf{x^{-m}=\dfrac{1}{x^m}}\)
And
\(\sf{\dfrac{1}{x^{-m}}=x^m}\)
Now we apply this to the problem.
What is 4⁻³ equal to? Well according to the property, it's equal to:
\(\sf{4^{-3}=\dfrac{1}{4^3}}\)
And this question asks us if 4⁻³ is the same as 1/4⁻3.
Well according to the calculations performed above, they're not equivalent.
What is the answer to this geometry problem?
Answer:
\(x=29\)Step-by-step explanation:
Here, MN= NP
→ \(128=2x+70\)
→ \(2x=128-70\)
Subtract :-
→ \(2x=58\)
Divide both sides by 2:-
→ \(\frac{2x}{2}=\frac{58}{2}\)
→ \(x=29\)
OAmalOHopeO
Please help!! Will give brainliest
Answer:
The first choice
Step-by-step explanation:
7/8 x + 3/4 = -6
6 (x/8) + 3/4 = -6
Juwan is throwing a birthday party for his son. He originally ordered 3 pizzas, but he realizes that his son invited more people than he thought, so he decides to order at least 1 more pizza for every 4 people that come to the party. The total number of pizzas, y, can be expressed in terms of the number of people that show up to the party, x. Which inequality represents this situation?
1.
\(y \geqslant - \frac{1}{4} x + 3\)
2.
\(y \geqslant \frac{1}{4} x + 3\)
3.
\(y \leqslant 4x - 3\)
4.
\(y \leqslant 4x + 3\)
Answer:
b.
Step-by-step explanation:
After arguing for two weeks, Tony convinced his parents to have his birthday party at FlyZone trampoline park. As soon as he gets there, Tony spends time practicing flips on the trampolines. Then, he spends
3
4
of an hour eating birthday cake with his friends. In all, Tony spends 1
1
4
hours at FlyZone.
Which equation can you use to find the amount of time t Tony practices flips?
The amount of time that Nora practices flips is; t = 1 ¹/₄
How to Solve Algebra problems?
The BODMAS rule would be used to simplify the expression, BODMAS is an abbreviation for bracket, of, division, multiplication, addition and subtraction. It dictates the order in which a mathematical expression should be solved.
We are told that;
Nora spends time practicing flips on the trampolines. Let this be t.
Then, she spends 1/2 of an hour eating birthday cake with her friends.
Thus, total amount of time spent on flips and eating with her friends is;
t + ¹/₂ = 1 ³/₄
t = 1 ³/₄ - ¹/₂
t = 1 ¹/₄
Thus , the amount of time that Nora practices flips is; t = 1 ¹/₄
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Given question is incomplete , Complete Question is;
After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?
Solve this equation for (t) to find the amount of time Nora practices flips
Please help now !!!!!!
Answer:
The tablet costs more than the smartphone
Step-by-step explanation:
1 year tablet = $1.50
1 year smartphone = $0.02x12months = $0.24
HELP ASAP!!!! I need to do this quick.
Answer:
the domain will be \(x\neq -4\)
Step-by-step explanation:
(-inf, -4) U (--4, inf)
x<-4; x>-4
easy prob pls help i need
The dimensions of the rectangular poster are 9 inches by 22 inches.
Let's assume the width of the rectangular poster is x inches.
According to the given information, the length of the poster is 4 more inches than two times its width. So, the length can be expressed as 2x + 4 inches.
The formula for the area of a rectangle is length × width. In this case, the area is given as 198 square inches.
Therefore, we have the equation:
(2x + 4) × x = 198
Expanding the equation:
\(2x^2 + 4x = 198\)
Rearranging the equation to standard quadratic form:
\(2x^2 + 4x - 198 = 0\)
To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:
x = (-b ± √\((b^2 - 4ac\))) / (2a)
Plugging in the values:
x = (-4 ± √\((4^2 - 4(2)(-198)))\) / (2(2))
x = (-4 ± √(16 + 1584)) / 4
x = (-4 ± √1600) / 4
x = (-4 ± 40) / 4
Simplifying:
x = (-4 + 40) / 4 = 9
x = (-4 - 40) / 4 = -11
Since we are dealing with dimensions, the width cannot be negative. Therefore, the width of the poster is 9 inches.
Substituting the value of x back into the length equation:
Length = 2x + 4 = 2(9) + 4 = 18 + 4 = 22 inches
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For the linear regression y = ẞ1 + ẞ2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 +681 +382 + 18ẞ1ẞ2
Derive the partial derivatives of SSE with respect to B1 and B2 and solve the optimal values of these parameters.
a. B₁ = B1
b. B₂ =
The optimal values of these parameters are:
a. β₁ = 0
b. β₂ = 0
The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 + 681 + 382 + 18β1β2
Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.
Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0
Now, we need to find the partial derivative of SSE with respect to β1.
∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0
Therefore, we obtain the optimal value of β2 as 0.
Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0
Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.
Thus, the optimal values of β1 and β2 are 0 and 0, respectively.
Therefore, the answers are: a. β₁ = 0 b. β₂ = 0
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the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store?
For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.
Probability is a measure of the likelihood that an event will occur.
Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it.The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.
Let, X be the random variable denoting the number of shoppers on a random day.
Then, X follows normal with mean 505 and standard deviation of 115.
Then, we can say that,
Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.
We have to find
P (250 <X< 450)
= P {(250-505)/155} < Z < {(450-505)/155}
= P (-1.64 <Z< -0.03)
Where, Z is the standard normal variate.
ρ = -1.64 <ρ< -0.03
Where, ρ is the distribution function of the standard normal variate.
From the standard normal table, this becomes
=0.00585
For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.
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what is the largest area of a rectangle that can be inscribed in a semicircle of radius 6? round to the nearest whole numb
The area of the largest rectangle is 46.47 square root.
Consider a semi-circle with a rectangle ABCD inscribed in it.
Let, O = centre of the semi-circle
A and B lies on the base of the semi-circle
OA = OB = x
D and C lie on the semi-circle
BC = AD = y
AB = CD = 2x
By Pythagorean theorem,
CB² + OB² = OC²
⇒ y² + x² = (6)²
⇒ y² = 36 - x²
⇒ y = √(36 - x²)
Now, area of rectangle in terms of x,
Area, A = 2x × y
= 2x × √(36 - x²)
Differentiating,
A' = 2 × √(36 - x²) - 2x²/(36 - x²)
When x = 0, y = 6 and when x = 6, y = 0, area = 0.
It implies that area is maximum when the value of x lies between 0 and 6.
This will occur where A’ = 0.
⇒ 2 × √(36 - x²) - 2x²/(36 - x²) = 0
⇒ 2 × √(36 - x²) = 2x²/(36 - x²)
On simplification, we get,
⇒ 2 × (36 - x²) = 2x²
⇒ 36 - x² = x²
⇒ 2x² = 36
⇒ x² = 36/2
⇒ x = √36/2
Now, y = √(36 - x²) becomes
⇒ y = √(36 - (√36/2)²)
⇒ y = √(36 - 36/2)
⇒ y = √(96 - 36)/2
⇒ y = √60/2
Maximum area = 2xy
= 2(√36/2)(√60/2)
= 46.47
Therefore, the area of the largest rectangle = 46.47 square units.
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A cylinder has a base radius of 8cm and a height of 7cm. What is its volume in cubic
cm, to the nearest tenths place?
Answer:
1407.4 cm³ to nearest tenth
Step-by-step explanation:
volume of cyclinder = π r² h , where r is radius and h is the height.
volume = π (8)² (7)
= 7 (64) π
= 448π
= 1407.4 cm³ to nearest tenth
1) Sarah received three fifths of her sister's book collection. If Sarah received 18
books, how many books did her sister have before giving any to Sarah?
The number of books that her sister has before giving any to Sarah is 30 books
Sarah received three fifths of her sister's book collection
Number of books that Sarah received = 18 books
The fraction of the books that Sarah received = 3/5
Consider the total number of books as x
Then we have to find the total number of books
So the equation will be
x × (3/5) = 18
Divide the terms in the equation
x × 0.6 = 18
Move 0.6 to the right hand side of the equation
x = 18 / 0.6
Divide the terms
x = 30 books
Hence, number of books that her sister has before giving any to Sarah is 30 books
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Explain why the dividing-out method is incorrect. You may want to start with a simpler expression and work your way up to polynomials. (For example, compare fraction numerator 3 left parenthesis 5 right parenthesis over denominator 3 end fraction and fraction numerator 3 plus 5 over denominator 3 end fraction.)
Explain when you can cancel a number that is in both the numerator and denominator and when you cannot cancel out numbers that appear in both the numerator and the denominator.
Share tricks, reminders, memory devices, or other methods to help students catch themselves before making this common mistake.
Post your video or series of images. Post answers to the following questions:
A. Why do you think the mistake shown here is such a common one?
B. Have you ever made this mistake before? What helped you stop making this mistake? What will help you stop making this mistake in the future?
For this exercise we must correct the error of the given fraction, differentiating the properties of addition and multiplication, so:
1)This error occurs frequently because when simplifying in a multiplication or division it cannot be done in the operations of subtraction and addition.
2)As this error is very common, it has probably already occurred. But one way to resolve this is to pay attention and redo the math.
to understand this error we have to:
\(\frac{(3)(5)}{3} = 5\)
In the case of multiplication the 3 of the numerator can be simplified with the 3 of the denominator, the other case will be:
\(\frac{3+5}{3} = \frac{8}{5}\)
In the case of addition or subtraction, you should always keep the denominator.
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Colleges use SAT scores in the admissions process because they believe these scores provide some insight into how a high school student will perform at the college level. Suppose the entering freshmen at a certain college have mean combined SAT Scores of 1222, with a standard deviation of 123. In the first semester, these students attained a mean GPA of 2.66, with a standard deviation of 0.56. A scatterplot showed the association to be reasonably linear , and the correlation between SAT score and GPA was 0.47. a) Write the equation of the regression line. b) Explain what the y-intercept of the regression line indicates. c) Interpret the slope of the regression line. d) Predict the GPA of a freshman who score d a combined 1400. e) Based upon these statistics, how effective do you think SAT scores would be in predicting academic success during the first semester of the freshman year at this college? Explain. f) As a student , would you rather have a positive or a negative residual in this context? Explain
a) The equation of the regression Line is; y = -1.189 + 0.0021x
b) What the y-intercept of the regression line indicates is that regression line is only in the area with y > 0.
c) The slope of the regression line predicts an increase of 0.0021 in GPA score.
d) The GPA of a freshman who scored a combined 1400 is; 1.751
e) The SAT scores are effective in predicting academic success during the first semester of the freshman year at this college.
f) Positive
How to Interpret the Regression Line?a) Let SAT be represented as x and let GPA be represented as y.
Now, formula for Covariance is;
Covariance = r(s_x * s_y)
We are given;
correlation; r = 0.47
s_x = 123
s_y = 0.56
Cov = 0.47 * 123 * 0.56 = 20.81
Now, the equation is;
y = B₀ + B₁x
Where;
B₁ = cov/var(x) = cov/sₓ²
B₁ = 20.81/(123 * 123)
B₁ = 0.0021
B₀ = 2.66 - (1.833 * 0.0021)
B₀ = -1.189
Thus, the equation is;
y = -1.189 + 0.0021x
b) GPA can't be negative. So it is a meaningless value. Thus, the regression line is only in the area with y > 0.
c) For each additional SAT score, the model predicts an increase of 0.0021 in GPA score.
d) To predict the GPA of a freshman who scored a combined 1400, it is the formula;
y(1400) = −1.189 + (0.0021 * 1400)
y(1400) = 1.751
e) r² = 0.472
r = 0.2209.
SAT scores is not an effective predictor of college GPA, There are only 22.09% of variability in GPA can be explained by the model.
f) Positive, it means GPA is higher than model predicts
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Mae Ling earns a weekly salary of $335 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?
Answer:
She made $664 during that work week.
Step-by-step explanation:
As Mae Ling earns $ 335 per week plus a commission of 7% with respect to the value of the sales she makes, and in the week she made sales for $ 4,700, to determine how much money she earned in the week the following calculation must be made:
335 + (4,700 x 7/100) = X
335 + (32,900 / 100) = X
335 + 329 = X
664 = X
Therefore, during that week Mae Ling earned $ 664.
helpp me teacher said this is a quadratic formula 3x2+x+1
Answer: 0.434
Step-by-step explanation:
Answer:
3 (x + 16) 2 + 11 12
Step-by-step explanation:
brainliest please
If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not downhill? Reduce to the lowest terms.
Answer:
81 miles
Step-by-step explanation:
From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.
Miles = 270
Downhill = 7/10
Not downhill = 3/10
Now we have To calculate Miles that are not downhill (uphill)
But first I calculated for the number of downhill miles
270x7/10
Downhill = 189 miles
To get the number of not downhill miles
I subtracted 189 from the total number of miles on the question.
270 - 189
= 81 Miles.
Therefore 81 Miles of the trip are not downhill.
If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!
1. how much do national football league (nfl) players weigh, on average? in a random sample of 50 nfl players, the average weight is 244.4 pounds.
The average weight of a random sample of 50 NFL players is 244.4 pounds.
What is an equation?An equation shows the relationship between two or more numbers and variables.
For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.
Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:
Mean = mean = 244.4 pounds
The average weight is 244.4 pounds.
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Use the expression (10p+10)+(8p−1)
Simplify using properties of operations and then factor the expression using the GCF.
factored and simplified
answer :
9(2p+1)
steps
(10p+10)+(8p−1)
18p+9
9(2p+1)
chatgpt
8tbsp. 2tsp.
x 15
_________
In ABC, DE ‖ AB. If AB = a, DE = x, BE = b and EC = c.
Then x expressed in terms of a, b and c is
In triangle ABC, Length of DE = (a*x)/(b+c). We can use similarity of triangles to to get the proportion between corresponding sides.
Similarity of triangles can help us to relate the lengths AB, DE, BE, and EC.
Now, since, DE = (a*x)/(b + c) in terms of a, b and c(given).
Now, we can relate the corresponding sides of triangle ABC and ADE.
The denominator (b + c) is equal to the sum of the lengths BE and EC.
Therefore, to express x in terms of a, b, c when in triangle ABC, DE || AB, and AB = a, DE = x, BE = b and EC = c.
DE = (a*x)/(b + c).
This question uses similarity of triangles which is a geometric concept. It helps us to correspond two triangles with different shapes and sizes, and when two triangles are similar their ratios of lengths is proportional to each other.
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Find two integers whose sum is -16 and product is 48
Answer:
-12 and -4
Step-by-step explanation:
-12 + (-4) = -16
-12 x -4 = 48
Answer:
-4, -12
Step-by-step explanation:
-4 + (-12) = -16
-4 x -12 = 48
This system is a flexible tool for data analysis, since its reports do not have a fixed format.
A. Management information system
B. Decision support system
C. Transaction processing system
D. Executive support system
Option - B : Decision support system is a flexible tool for data analysis, since its reports do not have a fixed format.
Decision support systems, a subset of business intelligence, are created to help organisations make sensible business decisions based on vast volumes of analysed data. Huge volumes of data are analysed using an interactive information system called a decision support system (DSS) to aid in the direction of business choices. A DSS aids management, operations, and planning levels of an organisation in making better decisions by assessing the importance of uncertainties and the tradeoffs involved in selecting one option over another. A DSS uses a variety of raw data, papers, personal knowledge, and/or business models to aid users in making decisions. A DSS may make use of relational data sources, cubes, data warehouses, electronic health records (EHRs), income projections, sales projections, and other sources.
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Help pls thnk You!!!!!!!!!!!!!!!!!!!!!!!!!!
(2n+7)(n+1)(n-1). So the first one.
_ - 72 = 62 - 53
Fill in the missing number
Determine all solutions of the equation in radians.
5) Find sin→ given that cos e
14
and terminates in 0 e 90°.
To find the value of sin(e) given that \(cos(e) = \frac{14}{17}\) and e terminates in the interval [0°, 90°], we can use the Pythagorean identity for trigonometric functions.
The Pythagorean identity states that \(\sin^2(e) + \cos^2(e) = 1\).
Since we know the value of cos(e), we can substitute it into the equation:
\(\sin^2(e) + \left(\frac{14}{17}\right)^2 = 1\)
Simplifying the equation:
\(\sin^2(e) + \frac{196}{289} = 1\sin^2(e) = 1 - \frac{196}{289}\\\sin^2(e) = \frac{289 - 196}{289}\\sin^2(e) = \frac{93}{289}\)
Taking the square root of both sides:
\(\sin(e) = \pm \sqrt{\frac{93}{289}}\sin(e) \approx \pm 0.306\)
Since e terminates in the interval [0°, 90°], the value of sin(e) should be positive. Therefore, the solution is:
\(\sin(e) \approx \pm 0.306\)
Please note that the value is approximate and given in decimal form.
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Select the correct answer from each drop-down menu. The graph shows a proportional relationship between the number of bags of candy and their price. The constant of proportionality for this relationship is _______ . The price of 6 bags of candy is ________ .
Answer:
The constant of proportionality for this relationship is 6. The price of 6 bags of candy is $36.
Step-by-step explanation:
Assuming that bag of candies is x and price is y, then the constant of proportionality will be how much y increases for every increase of x by 1.
When x increases by 1, y increases by 6. So, the constant of proportionality for this relationship is 6.
Using this, to find the value of y when \(x=6\), we can multiply 6 by 6 because for every time x increases by 6, y increase by \(6\cdot6\) times.
\(6\cdot6=36\)
So when x = 6, y = 36.
Hope this helped!
Answer:
I hope this helps!
Step-by-step explanation:
2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2 marks) Let Then represent the first number will represent the second number b) What is the equation that represents the above situation? (2 marks) c) Solve the equation. (2 marks)
Answer:
Larger number = 34
Smaller number = 17
Step-by-step explanation:
Given that:
Sum of numbers = 51
Let,
x be the larger number
y be the smaller number
According to given statement;
x+y=51 Eqn 1
x = 2y Eqn 2
Putting x=2y in Eqn 1
2y+y=51
3y=51
Dividing both sides by 3
\(\frac{3y}{3}=\frac{51}{3}\\y=17\)
Putting y=17 in Eqn 2
x=2(17)
x=34
Hence,
Larger number = 34
Smaller number = 17
Complete the sentences about the expressions 3x+4 –2x
, and 5x+2x+x
.
CLEAR CHECK
In the expression 3x+4 –2x
, you can combine
like terms, and the simplified expression is
.
In the expression 5x+2x+x
, you can combine
like terms, and the simplified expression is
For the expressions 3x+4 –2x, and 5x+2x+x the simplified expression after combining like terms is x+4 and 8x.
The given expressions are 3x+4 –2x, and 5x+2x+x
We have to simplify these expressions by combining the like terms
For the expression 3x+4 –2x
We have to combine like terms
x+4
Now for expression 5x+2x+x
Combine the like terms to get
8x
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