Answers
The equation of line with undefined slope and passes through the point
(1/2, 5) will be;
⇒ x = 1/2
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point = (1/2 , 5)
And, The slope = undefined
Now,
Since, We know that;
The equation of line with undefined slope and passes through the point will be;
⇒ x = a
Where, 'a' is the x - intercept.
Here, The point = (1/2 , 5)
The slope = undefined
And, The x - intercept = 1/2
So, The equation of line with undefined slope and passes through the point (1/2, 5) will be;
⇒ x = 1/2
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Related Questions
Use the inner product p, q = a0b0 + a1b1 + a2b2 to find p, q , p , q , and d(p, q) for the polynomials in P2. p(x) = 2 − x + 5x2, q(x) = x − x2
(a) {p, q}
(b) ||p||
(c) ||q||
(d) d(p, q)
Answers
Using the inner product,
(a) {p, q} is -6
(b) ||p|| is √t{30}.
(c) ||q|| is √{2}.
(d) d(p, q) is √{38x^4 - 56x^3 + 22x^2 - 6x + 30}.
(a) To find {p, q}, we need to compute the inner product of the two polynomials:
{p, q} = a0b0 + a1b1 + a2b2
= (2)(0) + (-1)(1) + (5)(-1)
= -6
Therefore, {p, q} = -6.
(b) To find ||p||, we first need to find p , which is the norm of p. Using the formula p(x) = √{<p, p>} = √{a0^2 + a1^2 + a2^2}, we get:
p(x) = sqrt{<p, p>} = √{2^2 + (-1)^2 + 5^2}
= √{30}
Therefore, ||p|| = √{30}.
(c) Similarly, we can find ||q|| by finding q , which is the norm of q. Using the formula q(x) = √{<q, q>} = √{b0^2 + b1^2 + b2^2}, we get:
q(x) = √{<q, q>} = √{0^2 + 1^2 + (-1)^2}
= √{2}
Therefore, ||q|| = √{2}.
(d) Finally, to find the distance d(p, q) between p and q, we can use the formula:
d(p, q) = ||p - q|| = √{<p-q, p-q>}
First, we need to find p - q:
p - q = (2 - x + 5x^2) - (x - x^2)
= 2 - 2x + 6x^2
Now, we can compute d(p, q):
d(p, q) = ||p - q|| = √{<p-q, p-q>}
= √{(2-2x+6x^2)^2 + (-x+x^2)^2 + 5^2}
= √{38x^4 - 56x^3 + 22x^2 - 6x + 30}
Therefore, d(p, q) = √{38x^4 - 56x^3 + 22x^2 - 6x + 30}.
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A local public library decides to track the number of hours that a certain computer is being used. The table represents the number of hours, y, which is dependent on the number of days, x.
x
y
3
21
5
37
7
53
What is the linear equation that represents this situation?
y = 8 x + 45
y = 8 x minus 3
y = 2 x + 16
y = 2 x minus 32
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.
The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.
Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options.
For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices.
For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.
The Hernandez family’s slices are smaller than the Wilson family’s slices.
If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.
The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.
Answers
Answer:
B and C sry if Im not correct
Step-by-step explanation:
Find the area of a pizza with radius 4 inches.
Answers
Answer:
50.24
Step-by-step explanation:
4x4x3.14
(4 because of the radius)
(3.14 because of pi)
Find the missing measures in each diagram.
Answers
Answer:
X = 65°
Y = 75°
Z = 65°
Step-by-step explanation:
Hello!
Angle Y and the angle measuring 75 degrees are corresponding angles, and corresponding angles are congruent to each other in degree measure.
There is also another set of corresponding angles, and those are Angle Z and Angle X.
Since Angle Y and 75° are corresponding, we can state that Angle Y is also 75°. We can now find Angle Z by subtracting 40° and 75° from 180°. This is because the sum of angles in a triangle is 180°.
Angle Z:180° - 40° - 75°180°-115°65°The measure of Angle Z is 65°. We know that Z and X are corresponding, so X is also 65°.
Factor the polynomial completely given that (x+2) is a factor. Remember to show all of your work, including the polynomial division and factoring, on your scratch paper. 3x^3-4x^2-17x+6
Answers
Answer:
Step-by-step explanation:
Challenge The price of Stock A at 9 am was $14.11. Since then the price has been increasing at
the rate of $0.08 each hour. At noon the price of Stock B was $14.86. It begins to decrease at the
rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the bao
stocks be the same?
In about
Answers
it would be 6 be cause 14 -8 is 6
a random sample of 25 white-collar employees was obtained and the sample mean was 44 hours worked per week with a sample standard deviation of 8 hours. is there evidence to suggest that the true population mean number of hours worked per week is more than 40 hours? assume the underlying distribution is normal.
Answers
based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.
To determine if there is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours, we can conduct a hypothesis test. We'll use a one-sample t-test since the population standard deviation is unknown, and the sample size is small (n = 25).
Let's set up the null and alternative hypotheses:
Null hypothesis (H0): The true population mean number of hours worked per week is 40 hours or less.
Alternative hypothesis (Ha): The true population mean number of hours worked per week is more than 40 hours.
We'll use a significance level (alpha) of 0.05.
Next, we calculate the test statistic (t-value) using the sample mean, sample standard deviation, sample size, and the hypothesized population mean (40 hours) under the null hypothesis:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
t = (44 - 40) / (8 / sqrt(25))
t = 4 / (8 / 5)
t = 2.5
We then compare the calculated t-value with the critical t-value from the t-distribution table at the given significance level and degrees of freedom (n - 1). With 24 degrees of freedom, a one-tailed test, and a significance level of 0.05, the critical t-value is approximately 1.711.
Since the calculated t-value (2.5) is greater than the critical t-value (1.711), we can reject the null hypothesis. There is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours.
In conclusion, based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.
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A confidence interval is made from a __________ to estimate the truth for a ______________.
Answers
To determine the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.
Define the word confidence interval?Although they are connected, confidence level and confidence interval are not the same thing.
A wide range of values that are bound by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of probability, or surety, that perhaps the confidence interval might include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level. We are 99% confident (confidence level) that the majority of all these observations (confidence intervals) include the genuine population parameter, to use colloquial language. The researchers come at an upper and lower limit that 95% of the time contain the true mean by creating a 95% confidence interval that use the sample's median and standard deviation and adopting a normal distribution represented by the bell curve.Thus, to evaluate the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.
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I need help with this math problem
Answers
Answer:
Table 1: 1.404, Table 2: 1.661
Step-by-step explanation:
Because f(x) and g(x) are inverses,
If f(x) = y,
then x = g(y)
You start at(-4, 2). You move down 3 units and right 7 units. Where do you end?
Answers
Answer: (-.5, .5)
Step-by-step explanation:
of the 35 flavors of ice cream at an ice cream parlor, 25 flavors contain some sort of nuts, 12 are fat-free, and 8 both fat-free and contain nuts. how many of the flavors at the ice cream parlor neither are fat-free nor contain nuts?
Answers
The number of ice creams according to the probability, Neither contain nuts nor are fat free is 6.
According to the statement
We have to find that the ice creams that neither are fat-free nor contain nuts.
So, For this purpose, we know that the
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.
From the given information:
There are 35 flavors of ice cream at an ice cream parlor, 25 flavors contained ice creams.
Contain nuts = 25
Are fat free = 12
Are both = 8
Then
Contain nuts or are fat free = 25+12-8 = 29
Total = 35
Neither contain nuts nor are fat free = 35-29 = 6.
So, The number of ice creams according to the probability, Neither contain nuts nor are fat free is 6.
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any help? I'll give brainlest
Answers
Answer:
C
Step-by-step explanation:
Answer:
answer is a
Step-by-step explanation:
find an interval, of length 1 and having integer endpoints, on which the function has a root.
Answers
In summary, to find an interval of length 1 and having integer endpoints on which the function has a root, we can use a trial-and-error method to identify intervals that satisfy the given criteria. The choice of interval may depend on the specific function and there may be multiple intervals that satisfy these conditions.
To find an interval on which the function has a root, we need to consider the function's behavior and identify any potential zero crossings. An interval of length 1 with integer endpoints can be represented as [a, a+1] where a is an integer.
One approach to finding a root is to plot the function and visually identify where it crosses the x-axis. Another approach is to use algebra and solve for when the function equals zero. However, without knowing the specific function, we cannot use these methods.
Instead, we can use a trial-and-error method to identify an interval that satisfies the given criteria. For example, we can start by choosing an integer a and evaluating the function at a and a+1. If the function has opposite signs at these two endpoints, then by the Intermediate Value Theorem, the function must have at least one root in the interval [a, a+1].
We can continue this process until we find an interval that satisfies the given criteria. Note that there may be multiple intervals that satisfy these conditions, and the choice of interval may depend on the specific function.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units
Answers
The value of the total area of the shaded region are,
⇒ 42 units²
We have to given that;
Sides of rectangle are,
AB = 9
BC = 6
Hence, The area of rectangle is,
⇒ 9 x 6
⇒ 54 units²
And, Area of triangle is,
A = 1/2 × 4 × 6
A = 12 units²
Thus, The value of the total area of the shaded region are,
⇒ 54 - 12
⇒ 42 units²
So, The value of the total area of the shaded region are,
⇒ 42 units²
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You are in college and currently do not need a car because you are able to use public transportation. However, in 4 years you
would like to purchase a car and you plan to have $10,000 saved. If you put away $200 in a systematic savings account at
3.2% interest every month, would you have $10,000 at the of 4 years to use toward the purchase of your car?
work. Explain your rationale.
Edit Format Table
12pt ✓ Paragraph
RTUA
T²V |
10
56
2
Answers
In this scenario, you want to know if saving $200 every month in a systematic savings account with a 3.2% interest rate would allow you to have $10,000 at the end of 4 years to purchase a car. This is based on compound interest.
To answer this question, we can use the formula for the future value of an annuity:
FV = P * [(1 + r)^nt - 1] / r
where FV is the future value, P is the monthly payment ($200), r is the monthly interest rate (3.2% per year / 12 months = 0.032 / 12), n is the number of payments per year (12), and t is the number of years (4).
Plugging in the values:
FV = 200 * [(1 + 0.032/12)^(12*4) - 1] / (0.032/12)
FV ≈ $10,302.62
Based on the calculations, you would have approximately $10,302.62 saved at the end of 4 years, which is more than the $10,000 you need for the car purchase. Therefore, this savings plan should work for your goal.
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Using the symbolization key given, symbolize each English- language sentence into FOL. domain: candies C(x): x has chocolate in it. M(x): * has marzipan in it. S(x): - has sugar in it. T(*): Boris has tried B(x,y): is better than
1.Any candy with chocolate is better than any candy without it.
2.Any candy with chocolate and marzipan is better than any
candy that lacks both.
Answers
In both symbolizations, we use universal quantifiers (∀) to represent "any," conjunction (∧) for "and," implication (→) for "is better than," negation (¬) for "not," and parentheses to group the conditions.
Let's symbolize each English-language sentence into First-Order Logic (FOL) using the given symbolization key:
Domain: Candies
C(x): x has chocolate in it.
M(x): x has marzipan in it.
S(x): x has sugar in it.
T(*): Boris has tried * (denotes any candy).
B(x, y): x is better than y.
Any candy with chocolate is better than any candy without it.
Symbolization: ∀x ∀y ((C(x) ∧ ¬C(y)) → B(x, y))
Any candy with chocolate and marzipan is better than any candy that lacks both.
Symbolization: ∀x ∀y ((C(x) ∧ M(x) ∧ ¬(C(y) ∧ M(y))) → B(x, y))
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A one-way ride on a subway costs $0.90.A monthly pass costs $24.Write an inequality that represents how many one-way rides you can buy before it is cheaper to buy the monthly pass.Is it cheaper to buy the monthly pass?Is it cheaper to pay the one-way fare for 25 rides? Explain.
Answers
Answer:
35$ : 1,25$ = 28 Trips
Step-by-step explanation:
From 29 Trips you have a better deal.
Step-by-step explanation:
To write the inequality, let x be the number of trips:
As we are finding how many rides until it is cheaper, we will be using the greater than sign:
0.90 * x > 24
To isolate x, we need to divide both sides by 0.9:
\(x > \frac{24}{0.9}\)
x > 26.66 or
x > 26 \(\frac{2}{3}\)
Rounding down as too little money will result in no trip:
x > 26
This means that it is cheaper to buy individual tickets until 26 rides which are when the monthly pass will be better.
Hope this helps!
{10, 11, 12, ..., 55}
How many numbers in the above set are divisible by 2 but not by 10?
(A) 17
(B) 18
(C) 19
(D) 21
Answers
Considering concepts of divisibility, the amount of numbers in the set that are divisible by 2 but not by 10 is:
(C) 19.
What are the rules for division by 2 and by 10?Numbers that finish in 0, 2, 4, 6, and 8 are divisible by 2, that is, even numbers are divisible by 2.Numbers that finish in 0 are divisible by 10. Hence, every number that is divisible by 10 is also divisible by 2.The data-set has (55 - 10) + 1 = 46 numbers, hence 23 are divisible by 2. 20, 30, 40 and 50 are also divisible by 10, that is, 4 numbers have to be removed, hence the amount is:
23 - 4 = 19.
Which means that option C is correct.
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A sandwich shop offers five types of sandwiches in three different sizes in four different kinds of bread. You can add six different fillings (tomatoes, pickles, lettuce, onions, jalapenos, mushrooms) for $0.50 each. In how many ways can you personalize your sandwich
Answers
Assuming that you can choose only one type of sandwich, one size, one type of bread, and any combination of fillings, you can personalize your sandwich in the following way : 5 (types of sandwich) x 3 (sizes) x 4 (types of bread) x 2^6 (choices of fillings) = 5 x 3 x 4 x 64 = 3840
So, you can personalize your sandwich in 3840 different ways by choosing one type of sandwich, one size, one type of bread, and any combination of six different fillings.
Hi! I'd be happy to help you determine the number of ways you can personalize your sandwich at this shop.
1. Sandwich type: There are 5 types of sandwiches to choose from.
2. Sandwich size: There are 3 different sizes available.
3. Bread type: You can select from 4 different kinds of bread.
Now, let's consider the fillings. Since there are 6 fillings, each one can either be included or not included. This results in 2 options (yes or no) for each filling.
To calculate the total number of personalized sandwiches, we can multiply the options for each aspect of the sandwich:
5 (types) * 3 (sizes) * 4 (breads) * 2^6 (fillings) = 5 * 3 * 4 * 64 = 3840
Therefore, you can personalize your sandwich in 3840 different ways.
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Help I will Give Brainliest if Correct!
Answers
Answer:
8.5 units
Step-by-step explanation:
(-1, 1) squared + (7,4) squared = formula
Distance 8.5 is rounded to the nearest 10
Solve for x.
Please help
Answers
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answers
Answer:
33
Step-by-step explanation:
For every 5 squares, two are red and three are green. So 3/5 of the squares are green.
3/5x55=33
What's the answer to (10x+200)
Answers
name a secant in this circle
Answers
Answer: Line AB
Hope this helps
Foster’s answer to the question he wrote for Ranger was 7x+(-3), while Ranger’s answer was 7x-3.They both checked their work by letting x=5, and they both claim to be correct.Are they both correct?Explain.
Answers
Answer: They are both correct :)
Step-by-step explanation:
They are both correct because 7x + (-3) is the same thing as 7x - 3 if you simplify it.
When you simplify it, you change the expression to:
7x + 1 (-3)
So now you have to distribute the 1 which gives you:
7x - 3
..since positive x negative is negative.
Hope that helped!
Write the slope-intercept form of the equation
of each line given the slope and y-intercept.
5
1) Slope
y-intercept = 3
Answers
Answer:
y = (5/4)x+3
Step by step explanation:
y = mx + b
m = 5/4
b = 3
y = (5/4)x+3
Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.
Answers
Answer:
Step-by-step explanation:
120 percent,
because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent
*Or 120 percent, I dont know though*
What number is
10 times as much
as 90
Answers
Answer:
900
Step-by-step explanation:
10 x 90 = 900
Answer:
900
Step-by-step explanation:
my brain
Need help please answer ASAP!
(22-23)
Answers
Answer:
Question 22 is
\(x - 3\)
Question 23 is
\(1.67 \times {10}^{ - 21} g\)