(7,-4) is not a solution of the inequality y ≥ 5 - x
How to tell whether (7,-4) is a solution of y ≥ 5 - x?The inequality expression is given as
y ≥ 5 - x
The solution is given as:
(7, -4)
This means that
(x, y) = (7, -4)
Substitute (x, y) = (7, -4) in the inequality y ≥ 5 - x
So, we have
-4 ≥ 5 - 7
Evaluate the difference
-4 ≥ -2
On the numbering system, -4 is less than -2
Hence, (7,-4) is not a solution of the inequality y ≥ 5 - x
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What is the slope coefficient? Is this coefficient significant at a 5% level of significance (alpha=0.05)? (Hint: Check the P-value for weight in the Python output.) See Step 4 in the Python script.
The slope coefficient in a regression model represents the change in the response variable for a one-unit change in the predictor variable, holding all other predictors constant.
The significance of the slope coefficient is determined by the p-value associated with it in the regression output. A p-value less than 0.05 indicates that the slope coefficient is significantly different from zero at a 5% level of significance, meaning that the predictor variable has a significant effect on the response variable. A p-value greater than 0.05 suggests that the predictor variable does not have a significant effect on the response variable.
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Complete Question:
What is the slope coefficient? Is this coefficient significant at a 5% level of significance (alpha=0.05)?
Problem 2. Smasher Van bound for Koronadal City leaves Polomolok every 15 minutes
while Nustafa Van leaves every 20 minutes.
5. How often do the two vans leave Polomolok at the same time
a. every 30 minutes
c. every 1 hour
b. every 40 minutes
d. every 2 hours
6. How many times will the Smasher Van leave Polomolok so that the two von leave
together
a. 2 times b. 3 times c. 4 times d. 5 times
7. How many times will the Nustafa Van leave Polomolok so that the two vons leave
together
a. 2 times b. 3 times c. 4 times d. 5 times
Answer:
5. c. Every 1 hour
6. c. 4 times
7. b. 3 times
Step-by-step explanation:
The given parameters of the rate of departure of the two vans are;
The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes
The rate of departure of Nustafa Van= Every 20 minutes
5. The time, 'x', when the two vans leave at the same time is given by the Lowest Common Multiple (LCM) of 15 and 20 as follows;
Multiples of 15 = 15, 30, 45, 60
Multiples of 20 = 20, 40, 60
Therefore, the LCM of 15 and 20 = 60
The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour
The time, when the two vans leave at the same time = Every 1 hour
6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = 60 minutes/(15 minutes) = 4 times
7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = 60 minutes/(20 minutes) = 3 times.
5. c. Every 1 hour
6. c. 4 times
7. b. 3 times
Let's solve it one by one:
The given parameters of the rate of departure of the two vans are;
The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes
The rate of departure of Nustafa Van= Every 20 minutes
5. The time, 'x', when the two vans leave at the same time is given by the Least Common Multiple (LCM) of 15 and 20 as follows;
Multiples of 15 = 15, 30, 45, 60
Multiples of 20 = 20, 40, 60
Therefore, the LCM of 15 and 20 = 60
The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour
The time, when the two vans leave at the same time = Every 1 hour
6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = \(\frac{60}{15}=4\text{times}\)
7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = \(\frac{60}{30}=3\text{times}\)
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evaluate the expressin 4c-y when 4 c is 3 -y is -3
Answer: 0
Step-by-step explanation:
Given 4c-y when 4c = 3 and -y = -3
Now on substitution, we get
3-3 = 0
What anwser is correct!
Answer:
the second one is right. They are neither parallel nor perpendicular
(1/4) to the 2 power
Answer:
1/16
Step-by-step explanation:
(1/4)^2=16
In a certain office tower the ground level is indicated by 0, and the underground levels are indicated by –1, –2, –3, and so on. The above ground levels are indicated by 1, 2, 3, and so on.a) Andy was at Level –1 and took the elevator to Level 21. How many levels did the elevator move upward?b) Kate works on Level 12 and parks her car on the lowest level. If she has to travel 16 levels down to get her car, how many underground levels are in the office tower?
Answer:
The elevator went up 23.
there are 4 underground floors.
Step-by-step explanation:
if the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?
As a result, the new length and breadth are 20% greater than the original specifications.
What is percent?Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. To calculate the percentage, divide the amount by the total value and multiply the result by 100. While many % numbers are between 0 and 100, there is no mathematical constraint that prevents percentages from taking on other values. Percentages are extensively utilized in a variety of contexts. Discounts in stores, bank interest rates, inflation rates, and numerous data in the media, for example, are all expressed as percentages. Percentages are essential for comprehending the financial elements of daily living.
Here,
If the original length and width of the living room floor are L and W, respectively, the new dimensions after increasing by 20% would be:
New Length = L + (0.20 * L) = L * 1.20
New Width = W + (0.20 * W) = W * 1.20
So the new length and width would be 20% larger than the original dimensions.
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Your friend opens up an online store where they can sell their homemade scarves. It costs C=15x+300 dollars to make x scarves, and the revenue is R=22x dollars. How many scarves must your friend sell in order to break even or earn a profit?
The friend must sell a minimum of 43 scarves to reach the breakeven point or start earning a profit.
To determine how many scarves your friend must sell in order to break even or earn a profit:
The point where the cost (C) equals the revenue (R). This is known as the breakeven point.
The cost function is given as C = 15x + 300, where x represents the number of scarves produced.
The revenue function is given as R = 22x.
To find the breakeven point, we set C equal to R and solve for x:
15x + 300 = 22x
300 = 7x
x = 300/7
= 42.86
Since we can't produce a fraction of a scarf, your friend would need to sell at least 43 scarves in order to break even or earn a profit.
Therefore, your friend must sell a minimum of 43 scarves to reach the breakeven point or start earning a profit.
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What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?
Answer:
\(V = 37.7cm^3\)
Step-by-step explanation:
The formula for the volume of a cone is:
\(V = \frac{1}{3} \pi r^2h\)
Given:
- Radius = 2cm
- Height = 9cm
Let's plug these into the equation:
\(V = \frac{1}{3} \pi (2)^2(9)\)
Now solve:
\(V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3} \pi \\V = 12\pi \\V = 37.7cm^3\)
Therefore, the volume of the cone is 37.7cm^3.
I hope this helps!!
- Kay :)
The volume of a right circular cone with radius 2 cm and height 9 cm is
12π cm³
What is volume?Volume is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that, a right circular cone with radius = 2 cm and height = 9 cm
Volume of a cone = 1/3π*radius²*height
= 1/3π*2²*9 = 12π
Hence, The volume of a right circular cone with radius 2 cm and height 9 cm is 12π cm³
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can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
Step-by-step explanation:
I got you,
a) Work...
First equation: y = 4x + 3
Second equation: y = 2x + 11
If he wants to play 2 games...
y = 4 (2) + 3
y = 11
y = 2 (2) + 11
y = 15
Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.
b) Work...
seven games...
y = 4 (7) + 3
y = 31
y = 2 (7) + 11
y = 25
Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.
I hope this helps :)
3. Given that x = 3 and y = 4, find the value of the following
expression (3x + 4y)^2 + (8x + 7y)² + 24xy
Answer: 3353
Let's solve this equation:
[(3)(3)+(4)(4)]2+[(8)(3)+(7)(4)]2+(2)(3)(4)
=(9+(4)(4))2+((8)(3)+(7)(4))2+(2)(3)(4)
=(9+16)2+((8)(3)+(7)(4))2+(2)(3)(4)
=252+((8)(3)+(7)(4))2+(2)(3)(4)
=625+((8)(3)+(7)(4))2+(2)(3)(4)
=625+(24+(7)(4))2+(2)(3)(4)
=625+(24+28)2+(2)(3)(4)
=625+522+(2)(3)(4)
=625+2704+(2)(3)(4)
=3329+(2)(3)(4)
=3329+(6)(4)
=3329+24
=3353
Hope this helps!!
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PLEASE!!!!!!!
Plz
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Step-by-step explanation:
y = mx + b
\( \frac{2}{3} = ( - 1)( - 1) + b\)
\( \frac{2}{3} - 1 = b\)
\( \frac{2}{3} - \frac{3}{3} = b\)
\( - \frac{1}{3} = b\)
Answer:
The next step would be to multiply your slope by your x value.
Step-by-step explanation:
The overall answer would is b=-1/3
BTW...if y'all have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! ❤
Help can someone help me find the value of ClX Y and Z I would appreciate it luvvs ;) ♡
\(\\ \sf\longmapsto 9x+46=35\)
\(\\ \sf\longmapsto 9x=35-46\)
\(\\ \sf\longmapsto 9x=-11\)
\(\\ \sf\longmapsto x=\dfrac{-11}{9}\)
The paper on a roll is 5.5 metres long. Ahmed cuts as many pieces as possible, each of length 75 cm from the roll.
Calculate the number of pieces.
with full workings please
\( \large Answer : \)
Total length of paper = 5.5 meters
5.5 × 100 cm ( conversion into cm )550 cmlength of each peice = 75 cm
Total number of pieces cut :
550 ÷ 75 7.33therefore, total number of pieces is 7 and some of the paper was left.
If a bird is flying at 30 meters above sea level and a fish is swimming 15 meters below sea, how many meters are between them? You can draw a vertical number line to help you.
Answer:
45 meters
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
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Help me please asap please
Answer:
the first one is D. {3/2}
second one is C. {-10}
Step-by-step explanation:
hope this helps
PLEASE HELP. Lesson 15.3 Tangents and Circumscribed Angles
Proof of Circumscribed Angle Theorem
Given: ZAXB is a circumscribed angle of circle C.
Prove: ZAXB and ZACB are supplementary.
Complete the proof.
A
B
C
If ZAXB is a circumscribed angle of circle C, XA and XB are
Select an answer to the circle
Therefore, angles ZACB and ZAXB are congruent, and since they are complementary to angles ZAO and ZBO, respectively, they must be supplementary.
What is Circumscribed Angle Theorem?The Circumscribed Angle Theorem states that an angle formed by two intersecting chords in a circle is half the sum of the measures of the intercepted arcs. More formally, if two chords of a circle intersect at point P, then the measure of the angle formed by the chords (let's call it angle ABC) is equal to half the sum of the measures of the arcs intercepted by the angle.
Here,
To prove that ZAXB and ZACB are supplementary, we need to show that the sum of their measures is 180 degrees. Here's the proof:
Given: ZAXB is a circumscribed angle of circle C.
To Prove: ZAXB and ZACB are supplementary.
Proof:
Draw circle C with center O and circumscribed angle ZAXB.
Draw radii OA, OB, and OC to the points of intersection A, B, and C.
Since XA and XB are tangent to circle C at points A and B, respectively, we know that angles OAX and OBX are right angles.
Therefore, angles ZAO and ZBO are complementary to angles ZAC and ZBC, respectively.
By the Inscribed Angle Theorem, we know that angles ZAO and ZBO are congruent to angle ZAXB.
Therefore, angles ZACB and ZAXB are congruent, and since they are complementary to angles ZAO and ZBO, respectively, they must be supplementary.
Thus, we have proven that ZAXB and ZACB are supplementary.
Therefore, the proof is complete.
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A 45 gram candy bar has 225 calories. What is the unit rate?
We have the following:
The unit rate would be the amount of calories per gram, so we must divide the number of calories by the number of grams
\(\frac{225}{45}=5\)That is, there are 5 calories per gram in this candy bar.
I will give 20 points
Answer:
This is like quadratic equation you just say y=1x+-2 and then you get the answer
It is known that X has a uniform distribution with μ=0.5 minutes and σ=0.29 minutes. Suppose a random sample of 64 people is selected. The shape of the sampling distribution of X
ˉ is: Uniform Approximately Normal Normal not enough information to determine
In this scenario, the shape of the sampling distribution of X-bar is approximately normal.
The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.
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Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years) and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience). Suppose they are not a particularly healthy family and the probability that someone will have a vacation-ruining illness (V = 0) is 20%. What is the expected value of V?
Select one:
a. 10
b. 8
c. 2
d. 0
Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:
V = 0 (with probability 0.2, as given in the problem)
V > 0 but V < 10 (with probability 0.8 * (9/10), because if nobody gets sick, they will have at least 1 healthy vacation day, and if they have 1 healthy day, they can still have 9 more days of vacation)
V = 10 (with probability 0.8 * (1/10), because if nobody gets sick, they can have all 10 days of vacation)
Using the utility function, we can see that the expected value of V is:
E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)
E[V] = 0 + 0.36 + 0.8
E[V] = 1.16
Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.
A matrix a is given. Determine if the system ax = b (where x and b have the appropriate number of components) has a solution for all choices of b.
If the rank of matrix A is equal to the number of columns of A, and the rank of matrix A is equal to the rank of the augmented matrix [A|b], then the system Ax = b will have a unique solution for all choices of b. Otherwise, the system Ax = b will not have a unique solution for all choices of b.
To determine if the system ax = b has a solution for all choices of b, we need to look at the rank of the matrix A and the rank of the matrix formed by appending the vector b to the matrix A.
The rank of a matrix is the number of linearly independent rows or columns in the matrix. If the rank of matrix A is equal to the number of columns in A, then matrix A is full rank and the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the number of columns in A, then matrix A is not full rank, and the system Ax = b will not have a unique solution for all choices of b.
If the rank of matrix A is equal to the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will not have a unique solution for all choices of b.
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If a pair of pants that normally sells for $51.00 is now on sale for
$34.00, by what percentage was the price reduced.
please help! and if you know the answer tell me how you got it please and thank y’all soo much!! im rlly confuseddd haha
Answer:
17.00 %
Step-by-step explanation:
17 out of 51 is 34
please help me im in a rush
(a) The city with a larger median room temperature is city B.
(b) The city having the highest noon temperature is city B.
(c) The city having the noon temperatures with a higher interquartile range is city A.
(d) The city having more noon temperatures that 81°F is city B.
In the given question, the noon temperatures for two cities, A and B, recorded over a month are shown via the box-and-whisker plots.
We are asked to use it and answer the questions:
(a) The median of data is represented by the line in the box of the box-and-whisker plot. Thus,
The median noon temperature for city A is 73°F.
The median noon temperature for city B is 76°F.
Thus, the city with a larger median room temperature is city B.
(b) The highest temperature is seen as the end point of the whiskers. Thus,
The highest temperature for city A is 85°F.
The highest temperature for city B is 92°F.
Thus, the city having the highest noon temperature is city B.
(c) The interquartile range is the difference between the end line of the box and its start line. Thus,
The interquartile range for city A is (81 - 64)°F or 17°F.
The interquartile range for city B is (81 - 68)°F or 13°F.
Thus, the city having the noon temperatures with a higher interquartile range is city A.
(d) From the given box-and-whisker plots, we can see that after 81°F, city B has a long whisker, showing more outliers.
Thus, the city having more noon temperatures that 81°F is city B.
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determine whether the sequence converges or diverges. if it converges, find the limit. (if the sequence diverges, enter diverges.) a_n = n^4 n^3 − 9nlim n→[infinity] a_n = ____
In this case, the highest degree term is n^7 in the numerator and n^3 in the denominator. Therefore, as n approaches infinity, the sequence grows without bound and diverges. So the answer is "diverges".
To determine if the sequence converges or diverges and find the limit, we'll analyze the given sequence a_n = n^4 / (n^3 - 9n).
Step 1: Identify the highest power of n in both the numerator and the denominator. In this case, it's n^4 in the numerator and n^3 in the denominator.
Step 2: Divide both the numerator and the denominator by the highest power of n found in the denominator, which is n^3.
a_n = (n^4 / n^3) / ((n^3 - 9n) / n^3)
Step 3: Simplify the expression.
a_n = (n) / (1 - (9/n^2))
Step 4: Take the limit as n approaches infinity.
lim n→∞ a_n = lim n→∞ (n) / (1 - (9/n^2))
As n approaches infinity, the term (9/n^2) approaches 0 since the denominator grows much faster than the numerator.
lim n→∞ a_n = lim n→∞ (n) / (1 - 0)
Step 5: Evaluate the limit.
lim n→∞ a_n = ∞
Since the limit goes to infinity, the sequence diverges. Therefore, the answer is "diverges." To determine whether the sequence converges or diverges, we can look at the highest degree term in the numerator and denominator.
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The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, \(\mu\) = 48 monthsStandard deviation, \(\sigma\) = 8 monthsThe z-score is then computed as follows:
\(z=\frac{x-\mu}{\sigma}\)We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
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Although U.S. middle school students may lag behind their Japanese counterparts in international algebra tests, the differences disappear on later tests due to the:
The differences disappear on later tests due to the improved mathematics education and curriculum in the United States.
The initial lag in performance of U.S. middle school students compared to their Japanese counterparts in international algebra tests can be attributed to various factors, including differences in teaching methods, curriculum, and cultural emphasis on mathematics. However, over time, the differences tend to disappear as U.S. students progress through their education and benefit from improved mathematics education and curriculum.
In recent years, the United States has made efforts to enhance its mathematics education system, implementing reforms and adopting new teaching strategies to improve student outcomes. These changes aim to provide students with a deeper understanding of mathematical concepts and problem-solving skills. As a result, U.S. students have shown improvements in their performance on later tests, narrowing the gap with their Japanese peers.
While U.S. middle school students may initially lag behind their Japanese counterparts in international algebra tests, the differences tend to disappear on later tests due to the ongoing efforts to enhance mathematics education in the United States. Continuous improvements in curriculum, teaching methods, and student support contribute to closing the gap and ensuring that U.S. students can compete globally in mathematics proficiency.
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-2x^2(3x - 6)
options to choose from
6x^3 + 12x^2
6x^3 - 12x^2
-6x^3 + 12x^2
-6x^3 - 12x^2
2. Solve ABC if a = 4, c = 7, and C = 90°. Use trig functions to find the
missing angles.
Answer:
The answer is 43.9822972 rad but you could just round and put 43.98
Step-by-step explanation:
Which expression is equivalent to 7 (2x - 5)
Answer:
14x-35
Step-by-step explanation:
Use distributive property so,
you multiply 2x and -5 by 7
2x*7=14x
-5*7=-35
Answer:
B
Step-by-step explanation:
because it just is