Answer:
y = -4x + -3
Step-by-step explanation:
We know the slope-intercept form is y = mx + b, and m is the slope of the line, and b is the y-intercept. To find the slope, we need to divide the difference of the y coordinates by the difference of the x coordinates. We already have the slope listed there which is very helpful, so now all we need to do is find the y-intercept (where the line goes through the y axis). If we count the lines on the y axis starting from the origin and going downwards, we see that the line passes through at (0,-3), so the y-intercept is -3. Now we replace the variables with the correct numbers, and the answer would be y = -4x + -3. I hope this helped!! :]
Write an example from daily life that uses each type of real number.
rational numbers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
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Find the missing side lengths. HELP PLEASEE.
Answer:
second one should be 80 as far as I can think
Expand and simplity-(x-5)-(2x+7)
Answer:
-3x - 2
Step-by-step explanation:
-(x - 5) ⇒ -x + 5
-(2x + 7) ⇒ -2x - 7
-x + 5 - 2x - 7 ⇒ -3x - 2
multiply by sign:-x+5-2x-7
collect like term:-x-2x+5-7
simplify:-3x-2
so finally the answer is -3x-2
Junior has one gallon of red paint and one gallon of blue paint. He takes one cup of red paint and adds it to the gallon of blue paint. After mixing it thoroughly, he takes out one cup of the mixed paint. Inside this cup the ratio of paint that is blue is a/b as a reduced common fraction. What is the value of A+B
One possible way to approach the problem is to use ratios and proportions. Let's start by finding the ratio of red paint to blue paint in the final mixed paint cup.
Step 1: Find the ratio of red to blue paint in each of the original paints.Junior has one gallon of red paint and one gallon of blue paint. Since one gallon is equal to 16 cups, we have:Red paint: 16 cups red paintBlue paint: 16 cups blue paint
Step 2: Mix one cup of red paint with one gallon of blue paint.In the second step, Junior takes one cup of red paint and adds it to the gallon of blue paint. Now we have:Red paint: 15 cups red paintBlue paint: 17 cups blue paint
Step 3: Take out one cup of the mixed paint.In the third step, Junior takes out one cup of the mixed paint. Now we have: Red paint: 15 cups red paint Blue paint
16 cups blue paint
The ratio of blue paint to total paint (blue paint plus red paint) in the final mixed paint cup is'
16/31, or 16/31 = a/b, '
where a and b are integers that have no common factors other than 1.To find the value of A+B, we need to determine the values of a and b.
We can do this by setting up a proportion:
16/31 = a/b
Multiplying both sides by the product of the denominators:
16b = 31a
Solving for a: a = (16b)/31 Since a is an integer, b must be divisible by 31.
The smallest such value of b is 31, which gives a = 16.A + B = 16 + 31 = 47Therefore, the value of A+B is 47.
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To determine the number of rabbits in the forest the ranger tags 100 and releases them back into the forest. Later, 350 of rabbits are caught out of which 40 were tagged. What is the estimated number of rabbits in the forest?
Answer:
875
Step-by-step explanation:
If there are 100 tagged rabbits and which there are 40 tagged out of 350 we get
The amount tagged/ The amount of rabbits = Tagged come back/Caught
If we replace the equations we get the equation
100/x = 40/350
Step 1. Cross Multiply
40x = 35000
x = 875
There are 875 rabbits
Is a type of quantitative analysis in which the amount of a species in a material is determined by converting the species to a product that can be isolated completely and weighed.
A type of quantitative analysis in which the amount of a species in a material is determined by converting the species to a product that can be isolated completely and weighed is "gravimetric analysis."
What is gravimetric analysis?Gravimetric analysis is a quantitative chemical analysis method in which the contribution sought is transformed into a material (of different compositions) that can be separated and weighed from the sample.
Some key features regarding the gravimetric analysis are-
Gravimetric analysis typically involves the following steps: preparation of a solution containing the known weight of sample, separation of a required constituent, weighing the isolated constituent, and computation of exact amount of a particular constituent with in sample from a estimated weight of a isolated substance.The most common method for isolating the preferred constituent from a sample solution is precipitation—that is, transition into a substance that is not soluble in the solution. A reagent is added, which constitutes an insoluble compound only with desired constituent but does not precipitate the sample's other constituents. Filtration is used to separate the precipitate, which is then washed to remove soluble impurities, dried and ignited to drain water, and weighed. Certain substances, such as carbonate in a mineral analysis, can be separated due to their easy conversion into gaseous compounds.To know more about the gravimetric analysis, here
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Find the exact value of x
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
In the first table of values, how does n differ from f(n)? in other words, what do n and f(n) mean?
N and f(n) is totally different by their own circumstances.
how does n differ from f(n)?N is independent variables
And f(n) is dependent variable
These are the main difference about n and f(n),You can typically depend on f(n) to represent the value of the function f at n. fn might mean f(n), especially when the domain is natural numbers, but it usually denotes the nth function in a sequence of functions.
F(a,b) would mean that the function takes two values, a and b. Your function takes one argument, n.
For example, f(n) might be the number of eggs in n packages, where each package has a dozen eggs. That would be f(n) = 12n, so f(3) = 12 * 3 = 36.
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What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots. 2 2. 5 3 2005.
The center of the data in the dot plot comes to be 3.
0 has 3 dots
1 has 2 dots
2 has 5 dots
3 has 4 dots
4 has 1 dot
5 has 6 dots.
Let us arrange these data in ascending order
0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5
Number of observations = 21
What is the median?The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.
So, the median will be the middle data = 11th data
11th data = 3 so median =3
Hence, the center of the data in the dot plot comes to be 3.
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SOMEONE PLZZZ HELP ME THIS IS DUE IN 5 MIN AND IM SO CONFUSED AND NO ONE WILL HELP ME PLZZ HELP!!!!!I WILL GIVE BRAINLEST!!!!!
Answer:
Graph as it says
Step-by-step explanation:
Its simple really, I'm assuming theres a box of points, so look at your box. Points will be labled as such example (3,5), You would have to plot those two points on the graph. Remember when plotting, your first number is your X axis. So you would go to the number three on the line in the middle (Not -3) and your Y axis is your last number, so you would look at the line that is in essence cutting the graph in half, and plot the number 5. (Not -5).
Answer:
Slope:
2/5
y-intercept:
(0,2)
Step-by-step explanation:
The r.v. X is distributed as uniform distribution over (−αα), where α>0 > 0. Determine the parameter α
so that each of the following equalities holds:
a. P(-1 < X < 2) = 0.75
b. P(|X| < 1) = P(|X| > 2)
a. There are no real solutions to the equation. Therefore, there is no value of α for which P(-1 < X < 2) = 0.75.
b. The value of parameter α for P(|X| < 1) = P(|X| > 2) is 4
a. We know that for a uniform distribution over (−α,α), the probability density function is given by f(x) = 1/(2α) for −α ≤ x ≤ α and zero otherwise. Thus, the probability of the event (-1 < X < 2) can be computed as:
P(-1 < X < 2) = ∫(-1)²/(2α) dx + ∫2²/(2α) dx
= (1/2α) ∫(-1)² dx + (1/2α) ∫2² dx
= (1/2α) [x]₋₁¹ + (1/2α) [x]²₂
= (1/2α) (2α - 1) + (1/2α) (4 - α²)
= (3 + α²)/(4α)
We want this probability to be 0.75. So, we solve the equation (3 + α²)/(4α) = 0.75 for α:
(3 + α²)/(4α) = 0.75
=> 3 + α² = 3α
=> α² - 3α + 3 = 0
This is a quadratic equation in α with discriminant:
Δ = b² - 4ac
= (-3)² - 4(1)(3)
= 9 - 12
= -3
Since Δ is negative, there are no real solutions to the equation. Therefore, there is no value of α for which P(-1 < X < 2) = 0.75.
b. The pdf of a uniform distribution is given by:
f(x) = 1/(b-a), for a ≤ x ≤ b
In this case, a = -α and b = α. Therefore,
f(x) = 1/(2α), for -α ≤ x ≤ α
Now we can calculate the probabilities as follows:
P(|X| < 1) = P(-1 < X < 1) = ∫(-1 to 1) f(x) dx = ∫(-1 to 1) 1/(2α) dx = 1/(2α) * [x]_(-1 to 1) = 1/α
P(|X| > 2) = P(X < -2 or X > 2) = P(X > 2) + P(X < -2) = ∫(2 to α) f(x) dx + ∫(-α to -2) f(x) dx = ∫(2 to α) 1/(2α) dx + ∫(-α to -2) 1/(2α) dx = 1/4
Therefore, we need to find α such that P(|X| < 1) = P(|X| > 2) = 1/4.
From P(|X| < 1) = 1/α, we get α = 1/P(|X| < 1) = 1/(1/4) = 4.
From P(|X| > 2) = 1/4, we get the same value of α = 4.
Hence, α = 4 satisfies both conditions.
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Multiply polynomials
Step-by-step explanation:
\( {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} \)
hope it helps
\( \huge \frak \green{question}\)
Multiply the polynomials :-
x² ( 5x³ - 2x³ + 15)
\( \huge \frak \green{solution}\)
→ x² ( 5x³ - 2x³ + 15)
→ x² × (3x³ + 15)
→ 3x² + 15x²
This can be further solved as :-
→ 3x² + 15x²
→ 18x²
\( \huge \frak \red{answer}\)
18x²
I need help with my Pre-Calculus HW - a graph is shown and it says I need to "state whether the function is one-to one.
Okay, here we have this:
Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.
So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.
Which statement is true about the ordered pair (1 , 7)? A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin. B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin. C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin. D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.
Answer:
C is the correct answer.
Step-by-step explanation:
You're trying to find a true statement about the point (1,7)
A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin.
B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin.
C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.
D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.
_____________________________________________________
Solving:
A is incorrect because it shows the point (7,1).
D is incorrect because that isn't the proper way to graph a coordinate.
B is incorrect because it says travel one unit to the right on the y axis which is the incorrect axis to graph the point (1,7).
C is your correct answer because you need to move 1 unit to the right on the x-axis to get to the coordinate (1,0). Then, you need to go 7 units up on the y-axis to reach (1,7).
Say the fraction in decimal form. 1/10
Answer:
0.1
Step-by-step explanation:
Please mark me brainleist
This graph displays a linear function. What is the rate of change?
Answer:
5/1 or 5
Step-by-step explanation: You find two points that the line goes on. So in this it would be 1,1 for the first one, the second one is 2,4. Then you go from the first point up or down to get to the same level at the second point. Then you go over to the left or right to meet the second point, in this graph you will go up 5 times to get to the same level. Then over 1 time to get to the point. Then you divide the rise over the run the rise is 5 and the run is 1, so you would do 5 divided by 1 and the answer of that is 5.
Hope this helps you in the future
Smiles, MysticCryptic (Aka) Jordan
Answer:
5
Step-by-step explanation: I am very late
please help me with the question thankyou
Answer:
\(24x^{10}\)
Step-by-step explanation:
Key skills needed: Exponent multiplication, Multiplication
1) We have the expression --> \((4x^{3})(6x^{7})\)
2) We have to simplify this (the parentheses mean multiplication)
The easiest thing to do is: Multiply 4 and 6 --> 4 x 6 = 24.
3) With the step above, the expression now would be \(24(x^{3})(x^7)\).
We now have to do \(x^3\) × \(x^7\)
For this we have to use this exponent rule --> \(a^b\) × \(a^c\) = \(a^{b+c}\).
4) This means that \(x^3\) × \(x^7\) = \(x^{3+7} = x^{10}\)
5) So the simplified expression would be --> \(24x^{10}\)
Hope you understood and have a nice day!! :D
Fundamentals of College Mathematics Demonstration 1- License Plates This demonstration is associated with the probability unit of the course. The course objectives assessed by this demonstration are: • Present work in a manner appropriate to college level mathematics. • Perform calculations involving dependent probabilities and independent probabilities. • Use complements to find the probability of an event. You should carefully and neatly write-up your solution to satisfy the first course objective. Poorly organized/presented work will be assigned a D or F. Nevada license plates consist of 6 letters/numbers in the following format: 123 A45. Note that numbers may be repeated on each license plate. 1. Determine the total number of possible license plates that can be made with this format. 2. What is the probability that your license plate contains a vowel? 3. What is the probability that your license plate contains no repeated numbers? 4. What is the probability that your license plate contains at least one repeated number?
1. Determine the total number of possible license plates that can be made with this format:
In the given format, each character can be a letter (A-Z) or a number (0-9). Since there are 6 positions on the license plate, the total number of possible license plates can be calculated by multiplying the number of choices for each position.
For each position:
- The first position can be filled with any letter or number, so there are 26 + 10 = 36 choices.
- The second position can also be filled with any letter or number, so there are again 36 choices.
- Similarly, for the third to sixth positions, there are 36 choices each.
Therefore, the total number of possible license plates is:
36 * 36 * 36 * 36 * 36 * 36 = 36^6 = 2,176,782,336 possible license plates.
2. What is the probability that your license plate contains a vowel?
In the English alphabet, there are 5 vowels (A, E, I, O, U).
Since the license plate can contain repeated numbers, we only need to consider the position where a vowel can appear.
From the given format, the only position where a vowel can appear is the second position (123 A45).
Therefore, the probability of a license plate containing a vowel is 1 out of 36, as there are 36 possible choices for the second position.
3. What is the probability that your license plate contains no repeated numbers?
To calculate this probability, we need to consider the different cases where repeated numbers can occur on the license plate.
Case 1: No repeated numbers
In this case, all 6 positions on the license plate must be filled with different numbers. The first position can be filled with any number (0-9), so there are 10 choices. For the second position, there are 10 choices remaining (since repetition is not allowed), and so on.
Therefore, the total number of license plates with no repeated numbers is:
10 * 10 * 10 * 10 * 10 * 10 = 10^6 = 1,000,000.
The probability of a license plate containing no repeated numbers is 1,000,000 out of the total possible license plates (2,176,782,336).
4. What is the probability that your license plate contains at least one repeated number?
To calculate this probability, we can use the concept of complementary probability. The complementary event of “containing at least one repeated number” is “containing no repeated numbers” (from question 3).
Therefore, the probability of a license plate containing at least one repeated number is 1 minus the probability of a license plate containing no repeated numbers:
1 – (1,000,000 / 2,176,782,336) = 1 – (1 / 2,176.782336) ≈ 0.999999541
So, the probability of a license plate containing at least one repeated number is approximately 0.999999541
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The mayor of your city has been talking about the need for a tax hike. The city's newspaper uses letters sent to the editor to judge public opinion about this possible hike, reporting on their results in an article. Do you think that these letters represent a random Sample?
No, letters sent to the editor of a newspaper do not represent a random sample of the population and therefore may not be an accurate representation of public opinion as a whole.
There are several reasons why these letters may not be considered a random sample:
Self-selection bias: Letters to the editor are typically submitted by individuals who have strong opinions or feel strongly about a particular issue.
Limited sample size: The number of letters received by the newspaper may be limited, and the published letters may only represent a small fraction of the total submissions.
Demographic bias: The subset of individuals who choose to write letters to the editor may not be demographically diverse or representative of the entire population.
To obtain a more accurate understanding of public opinion on the tax hike, it would be necessary to use more rigorous and scientifically valid methods such as random sampling surveys or public opinion polls that strive to include a representative sample of the population.
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a rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material for the base costs $15 per square meter. material for the sides costs $9 per square meter. let w denote the width of the base.
The total cost is $245.31.
Given,
Volume = 10\(m^{3}\)
Width = w
Length = 2w
Base area = Length x Width = \(2w^{2}\)
Cost of base = $15
Cost of sides = $9
Since the volume is 10\(m^{3}\),
Volume = Base Area x Height
Height = \(\frac{10}{2w^{2} }\) = \(\frac{5}{w^{2} }\)
Cost of making such a container:
Cost of base = \(2w^{2}\) x 15 = $\(30w^{2}\)
Cost of sides = [(2 x 2w x \(\frac{5}{w^{2} }\)) + (2 x w x \(\frac{5}{w^{2} }\))] x $9 = $\(\frac{270}{w}\)
Overall Cost = Cost of Base + Cost of Sides
f(x) = \(30w^{2} + \frac{270}{w}\) = \(30(w^{2} + \frac{9}{w})\)
To get the minimum cost, we will have to find the derivative of f(x) and equate it to zero.
d(f(x))/dx = 0
\(2w - \frac{9}{w^{2} } = 0\\w^{3} = 4.5 \\w = 1.651m\)
Putting the value of w in f(x),
f(x) = $245.31 (after calculations)
Therefore, the final answer is $245.31.
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help please! I’ll mark you as brainliest!
Answer:
kidnapping children is illegal in colombia
Step-by-step explanation:
not here because i have 7 kids in my basement and not once have i had the police called on me
let us assume you would like to define the area, perimeter, width, height of a rectangle. what would be the most optimal way to proceed?
The most optimal way to proceed would be to first define the width and the height of the rectangle. Once these values are determined, the area and perimeter can then be calculated using the following formulas:
Area = width x height
Perimeter = 2 x (width + height)
example:
width = 4
height = 6
Area = 4 x 6
= 24
Perimeter = 2 x (4 + 6)
= 20
Area = 4 x 6
= 24
Perimeter = 2 x (4 + 6)
= 20
Width = 4
Height = 6
In order to calculate the area, perimeter, width, and height of a rectangle, the first step is to define the width and the height of the rectangle. Once these values are set, the area can be calculated by multiplying the width and the height, while the perimeter is calculated by multiplying two times the sum of the width and the height. For example, if the width is 4 and the height is 6, the area is 4 x 6, which equals 24, and the perimeter is 2 x (4 + 6), which equals 20. By using these calculations, one can easily determine the area, perimeter, width, and height of a rectangle.
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Find the length of the missing side.
Answer: i think 80 not sure tho i failed my last test
Step-by-step explanation:
Answer:
80 in
Step-by-step explanation:
Because this is a right triangle we can find the length of the missing side using the Pythagorean Theorem
Given the hypotenuse and one leg we do
\(c^2-b^2=a^2\)
where c = hypotenuse and b = leg
\(82^2=6724\\18^2=324\\6724-324=6400\\\sqrt{6400} =80\)
so we can conclude that the missing side length is equal to 80
Simplify 6 -square root of 15 divided by 2
Answer:
hjyfgtuygtfvfvhjkoijuhgytfrdetrft
Step-by-step explanation:
dcfgvhbjnkiouytrfdr
Answer:
-2.94
Step-by-step explanation:
I got the answer correct on edge
Jan bought 4 pounds of candy for $12.25. what was the average cost per pound to the nearest cent?
which expression has the fewest number of significant figures
A 296.54
B 5003.1
C 18.3
D 360.01
Answer:
18.3
18.3 only has three significant figures while the other numbers have more
PLEASE HELP 80 POINTS QUESTION DOWN BELOW
Answer:
the answer will be -3
Step-by-step explanation:
Mildred will receive payments of 50 every three months for 10 years. The first payment is made today. The annual effective interest rate is 8%. Calculate the present value of the annuity.
A 1,059.73
B 1,358.47
C 1,381.63
D 1,395.13
E 1,408.47
The annual effective interest rate is 8%, the present value of the annuity is option C: $1,381.63
To calculate the present value of the annuity, we can use the formula for the present value of a series of periodic payments:
\(\[ PV = PMT \times \left(1 - (1 + r)^{-n}\right) / r \]\)
Where:
- PV is the present value of the annuity,
- PMT is the payment amount,
- r is the interest rate per compounding period, and
- n is the total number of compounding periods.
In this case, Mildred will receive payments of $50 every three months for 10 years, which is a total of 40 payments (since there are 4 quarters in a year and 10 years equals 40 quarters).
The interest rate is 8% per year, so we need to adjust it for the compounding period. Since the payments are made every three months, the interest rate per quarter is 8% divided by 4, which is 2%.
Substituting the values into the formula, we have:
\(\[ PV = 50 \times \left(1 - (1 + 0.02)^{-40}\right) / 0.02 \]\)
Using a calculator, we find that the present value of the annuity is approximately $1,381.63.
Therefore, the correct answer is option C: $1,381.63.
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Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field
Answer:
As a fraction = \(\dfrac{30}{100}\)
As a decimal = 0.3
Step-by-step explanation:
Recall that: The total yard of a football field = 100 yards
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,
As a fraction;
Tristan run can be represented as = number of run from goal-line/ total length of the field
= \(\dfrac{30}{100}\)
As a decimal= 0.3
x - 10+ 9x = - 1 + 10x
Answer:
the equation is falseStep-by-step explanation:
x - 10+ 9x = - 1 + 10x
-10 + 1 = -x - 9x + 10x
-9 = 0
the equation is false