The slope of the line is -4.
How to find the slope of a line?The slope of a line is the change in dependent variable with respect to the change in the independent variable .
The slope is defined as rise over run.
The slope is change in y over change in x. This can be represented mathematically as follows:
slope = Δy / Δx
slope = y₂ - y₁ / x₂ - x₁
using (-1, 8) and (2, -4)
x₁ = - 1
x₂ = 2
y₁ = 8
y₂ = -4
Therefore,
slope = -4 - 8 / 2 + 1
slope = - 12 / 3
slope = -4
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Find the surface area and volume of each solid to nearest tenth
The Surface area of the given cone = 282.7
The Volume of the given cone = 314.1592
How do you compute surface area?The total surface area is obtained by summing all the areas upon that surface: the areas of the object's base, top, as well as lateral surfaces (sides). This is accomplished by employing several area calculations and measuring in square units.
What exactly is a three-dimensional object?Three-dimensional things are those that you can pick up, touch, as well as move about. Depth is the third dimension in these shapes. Three-dimensional objects include cubes, prisms, pyramids, spheres, cones, as well as cylinders. Three-dimensional objects in space can be rotated.
According to the given data:Radius = 10/2 = 5 yd
Hight = 12yd
We know that the surface area of the given cone:
= πr(r+√(h²+r²))
putting the value in the given formula:
= 3.14x (5)(5 + √((12)² + (5)²))
= 3.14 x 5 x (√174)
= 282.7
The Surface area of the given cone = 282.7
Find the volume:
Radius = 10/2 = 5 yd
Hight = 12yd
V=πr²(h/3)
putting the value in the given formula:
V=πr²(h/3)
V = 3.14 x 5² x (12/3)
V = 314.15927
The Surface area of the given cone = 282.7
The Volume of the given cone = 314.1592
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Jake is a factory manager for a company that produces batteries. Occasionally, some are found to be defective. Based on previous results, Jake estimates that 12 batteries will be defective for a certain month. However, 10 were actually defective. What is the percent error of Jake’s estimate?
Based on the estimated number of defective batteries and the number of batteries that were actually defective, the percent error of Jake's estimate is 20%
How to find the percent error?The percent error of a problem can be found by the formula:
= (Expected results - Actual results) / 100%
Expected results = 12 defective batteries
Actual results = 10 defective batteries
Jake's percentage error is therefore:
= (12 - 10) / 100%
= 2 / 10 x 100%
= 0.2 x 100%
= 20%
In conclusion, the percent error of Jake's estimate is 20%.
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an item is regularly priced at $91 . it is on sale for 35% off the regular price. use the aleks calculator to find the sale price.
The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.
To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:
Step 1: Calculate the amount of discount = Regular Price × Discount rate
Discount rate = 35/100
Simplifying the value we have:
Discount rate = 0.35
Amount of discount = 91 × 0.35
Amount of discount = $31.85
Step 2: Calculate the sale price
Sale price = Regular price − Amount of discount
Sale price = $91 − $31.85
Sale price = $59.15
Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.
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Let x have a binomial distribution with parameters n = 25 and p. calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p = 0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x; n, p). (round your answers to four decimal places.)
The calculation of the probability P(15 ≤ X ≤ 20) shown in below.
Binomial Distribution:Binomial distribution is calculated by multiplying the probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials
Let x have a binomial distribution with parameters n = 25 and p.
We have the following formulas:
From binomial distribution: P (X = x) = (nCx) × (p) x × (1-p) n-x
From normal distribution: P (X <= x) = \((x-np) / \sqrt{T} (np (1-p))\)
Since, n = 25 and p (0.5, 0.6, 0.8),
So, the probabilities are:
P P(15<=X<=20) P(14.5<=X<=20.5)
0.5 0.2117 is less than 0.2112
0.6 0.5763 is less than 0.5685
0.8 0.5738 is greater than 0.5957
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What is a function
Answer:
In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers
Step-by-step explanation:
Are the ratios 1:2 and 4:7 equivalent?
Answer:
No
Step-by-step explanation:
By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.
Which list shows these numbers in order from least to greatest?
Answer:
-3,-2,0,2,3 [c]
Step-by-step explanation:
I had that quiston on my warm up [edge 2021] and got it right
i first tried b and that didnt work
Question 13 of 21
Factor this polynomial.
-3x2 - 5x-2
A. (3x + 2)(x - 1)
B. (-3x + 2)(x+1)
C. -1(3x + 2)(x+1)
O D. (3x - 2)(x - 1)
SUBMIT
You live in a state with a sales tax of 5%. You buy a car for $15,000. What is the sales tax? a)$50 b)$500 c)$750 d)$1,500. c)$750.
To calculate the sales tax on a $15,000 car with a 5% sales tax rate, you convert the percentage into decimal form, and then multiply by the purchase price. This calculation results in $750 making the correct answer option c).
Explanation:The subject of this question is calculating the amount of sales tax for a purchase, specifically, a car. In this case, the sales tax is given as 5% of the purchase price. The purchase price of the car is $15,000.
Calculating the sales tax involves multiplying the purchase price by the sales tax rate (expressed as a decimal). Therefore, to determine the sales tax on this purchase:
Convert the sales tax from a percentage to a decimal by dividing by 100. So, 5% becomes 0.05.Multiply the purchase price by this decimal value. Therefore, $15,000 * 0.05 = $750.The sales tax on a $15,000 car at a rate of 5% is thus $750. That makes choice c) the correct answer.
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I NEED HELP ON THIS ASAP!
The possible locations of the vertice D such that the trapezoid ABCD is created are;
(3, 2), (3, 7)
What is a trapezoid?A trapezoid is a quadrilateral with one pair of parallel sides.
The location of the vertex D is between vertices A and C
When AD is parallel to BC, we get;
Slope of AD = Slope of BC
Slope of BC = (-1 - 1)/(-1 - (-5)) = -2/4 = -1/2
The point, D, obtained from point A is therefore;
-(1/2) = (y - 5)/(x - (-3)) = (y - 5)/(x + 3)
-(1/2) = (y - 5)/(x + 3)
2·y - 10 = -x - 3
2·y = -x - 3 + 10 = -x + 7
2·y = -x + 7
y = -x/2 + 7/2 = -x/2 + 3.5
y = -x/2 + 3.5
The possible points are therefore;
When x = 3, y = -3/2 + 3.5 = 2
A possible location of the point D is therefore; (3, 2)When CD is parallel to AB, we get;
Slope of AB = (5 - 1)/(-3 - (-5)) = 4/2 = 2
The slope of CD is therefore; (y - (-1))/(x - (-1)) = 2
(y + 1)/(x + 1) = 2
y + 1 = 2 × (x + 1)
y = 2·x + 2 - 1 = 2·x + 1
y = 2·x + 1
The possible location of point D is therefore; When x = 3, y = 2×3 + 1 = 7
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Anastasia makes a good salary but wants to be sure she has good credit so she can buy a condominium when she has saved
enough money for a down payment on a mortgage. What is the best thing she can do to improve her creditworthiness?
She should take out more debt to improve her credit score.
She should pay down her student loan and credit card debt.
She should apply for more credit cards to improve her credit history.
She should get a second job to make more money.
Answer:
She should pay down her student loan and credit card debt.
Step-by-step explanation:
Because the others would result in more debt or overwork and she has a good salary already
The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.
Option B is the correct answer.
We have,
The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.
This will lower her credit utilization ratio, which is a significant factor in determining her credit score.
Having a high credit utilization ratio can indicate to lenders that she may be at risk of defaulting on her debts, which could make it more difficult for her to obtain a mortgage or other loans in the future.
Paying down her debts can help improve her credit score and make her a more attractive borrower to potential lenders.
Thus,
The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.
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Is the number 17.4×10−717.4×10−7 expressed in scientific notation? Why or why not?
Answer:
NoStep-by-step explanation:
Given number
17.4×10−7It is not in scientific notation because:
The proper format for scientific notation is a×10ᵇ where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10As we see 17.4 > 10 which is against the rule above
At a farmers’ market, 4 apples can be purchased for $3.00. What is the unit price of an apple at the farmers’ market?
Answer:
The unit price of the apples is $0.75
Step-by-step explanation:
Divide the total price by the number of items.
Please help with this math problem
Answer:
x=3
Step-by-step explanation:
x=2x-3
subtract 2x from both sides and you get -x= -3
so x = 3
Graph the line passing through the point (2, - 2) with the slope m = 4/3
A ∗
uses a heuristic function f(n) in its search for a solution. Explain the components of f(n). Why do you think f(n) is more effective than h(n), the heuristic function used by greedy best-first? Question 3 For A ∗
to return the minimum-cost solution, the heuristic function used should be admissible and consistent. Explain what these two terms mean.
A∗ is an algorithm that uses a heuristic function f(n) in its search for a solution. The heuristic function f(n) estimates the distance from node n to the goal.
The estimation should be consistent, meaning that the heuristic should never overestimate the distance, and should be admissible, meaning that it should not overestimate the minimum cost to the goal.
The A∗ heuristic function uses two types of estimates: heuristic function h(n) which estimates the cost of reaching the goal from node n, and the actual cost g(n) of reaching node n. The cost of a path is the sum of the costs of the nodes on that path. Therefore, f(n) = g(n) + h(n).
A∗ is more effective than greedy best-first because it uses a heuristic function that is both admissible and consistent. Greedy best-first, on the other hand, uses a heuristic function that is only admissible. This means that it may overestimate the cost to the goal, which can cause the algorithm to overlook better solutions.
A∗, on the other hand, uses a heuristic function that is both admissible and consistent. This means that it will never overestimate the cost to the goal, and will always find the optimal solution if one exists.Admissible and consistent are two properties that a heuristic function must have for A∗ to return the minimum-cost solution. Admissible means that the heuristic function never overestimates the actual cost of reaching the goal.
This means that h(n) must be less than or equal to the actual cost of reaching the goal from node n. Consistent means that the estimated cost of reaching the goal from node n is always less than or equal to the estimated cost of reaching any of its successors plus the cost of the transition.
Mathematically, this means that h(n) ≤ h(n') + c(n,n'), where c(n,n') is the cost of the transition from node n to its successor node n'.
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Can you help me please
Answer:
50.27
Step-by-step explanation:
π-3.14 so...
3.14*r^2
\(area = π {r}^{2} = 3.14 \times {4}^{2} \)
\(area = 3.14 \times 16 = 50.24\)
Done.....♥️♥️♥️♥️♥️
2a) Determine the unknown angle x.
The unknown angle x in the triangle is 80 degrees
How to determine the unknown angle x.From the question, we have the following parameters that can be used in our computation:
The triangle
The unknown angle x is calculated using the sum of angles in a triangle theorem
So, we have
x + 60 + 40 = 180
Evaluate the like terms
x + 100 = 180
So, we have
x = 80
Hence, the unknown angle x is 80 degrees
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If you went to a dinner with 4 choices of appetizers, 5 main courses, and 2 desserts... the
number of meal options is an example of......
1.Counting Pr inciple
2.Permutation
3.Combination
Answer:
1. counting principle
Step-by-step explanation:
-----
suppose that 72% of students in a college have a smart phone. if you select three students at random, what is the probability that all three have a smart phone?
0.403 is the probability that all three have a smart phone.
Binomial Probability Distributions?The probability distribution known as the binomial distribution in statistics encapsulates the possibility that a value will take one of two independent values given a particular combination of conditions or hypotheses. A binomial distribution, which displays the probability "P" of "n" trials with two possible outcomes for each, is a type of probability distribution. Any positive integer can be used as "nvalue. "'s That includes one, so you may calculate a probability distribution for just one trial.Learn more about Binomial probability distrubution:
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Find the x- and y-intercepts of the graph of 4x-4y=324x−4y=32. State each answer as an integer or an improper fraction in simplest form.
Answer:x-intercepts (5,0)
y-intercepts (0,-5)
Step-by-step explanation: To find the x-intercept substitute in 0 for y and solve for x. to find the y-intercept subsitute 0 for x and solve for y
What is the ratio of cups of mixed nuts to the total number of cups of granola?
The ratio of cups of mixed nuts to cups of granola is 2 cups mixed nuts
The ratio of cups of mixed nuts to cups of granola is 2:11.
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0
Given:
Rolled oats= 6 cups
Mixed nuts=2 cups
Sesame seeds=1/2 cup
Cranberries= 1 cup
Dried unsweetened coconuts=1
Honey =1/2 cup
As, the ingredients listed
Total cups of granola= Rolled oats + Mixed nuts + Sesame seeds + Cranberries + Dried unsweetened coconuts + Honey
=6 + 2 + 1/2 + 1 + 1 + 1/2
=11 cups
Hence, the ratio of cups of mixed nuts to cups of granola is 2:11.
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The complete question is
Granola 6 cups rolled oats 2 cups mixed nuts 1 2 cup sesame seeds 1 cup dried cranberries. What is the ratio of cups of mixed nuts to the total number of cups of granola? The ratio of cups of mixed nuts to cups of granola is to . 1 cup dried unsweetened coconut 1 2 cup honey
Describe the proses for calculating the volume of a cone; use complete sentences.
please help me with this thanks
1.1.5550
2.1.5500
3.1.6000
Write as an algebraic expression: the difference of 27 and 5
The algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
How to write the statement as an algebraic expression?The statement is given as:
the difference of 27 and 5
Difference means minus.
The minus sign is represented as -
This means that the statement given as: the difference of 27 and 5
Can be represented as
27 minus 5
So, have
27 - 5
Hence, the algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
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Which expression is equivalent to 76a^2b^3/19ab
The expression 76a²b³ / 19ab is equivalent to the expression 4ab².
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ 76a²b³ / 19ab
Then the expression can be written as
⇒ 4ab²
Then the expression 76a²b³ / 19ab is equivalent to the expression 4ab².
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Two years from now, Country F hopes its GDP will be in the millions. If its present GDP is $975,875 and it has a growth rate of 11% annually, what will Country F's GDP be in 2 years
In two years, Country F's GDP is projected to be in the millions.
Currently, its GDP stands at $975,875, and it experiences an annual growth rate of 11%. Based on these figures, Country F's GDP in two years can be calculated.
To determine the GDP in two years, we need to calculate the growth rate for each year and apply it to the current GDP.
The growth rate is given as 11% annually, which means it is compounded over each year. To calculate the growth rate, we can use the formula:
GDP in two years = Current GDP × (1 + Growth Rate)^Number of Years
Plugging in the values, we get:
GDP in two years = $975,875 × (1 + 0.11)^2
Simplifying the equation, we have:
GDP in two years = $975,875 × 1.11^2
Evaluating the expression, we find:
GDP in two years ≈ $1,131,586
Therefore, based on the given growth rate of 11% annually, Country F's GDP is projected to be approximately $1,131,586 in two years.
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*PLEASE ANSWER ITS ALMOST DUE*
Which statement is true regarding the graphed functions?
O f(0)=g(0)
O f(-2)=g(-2)
O f(0)=g(-2)
O f (-2)=g0
Answer:
A
Also:
if its wrong dont kill me
Plz mark me brainliest if it helps
Please help meeee!!!!
a. (2x + 3) * (X - 5) = x(2x + 3) - 5(2x + 3) = 2x^2 + 3x - 10x - 14 = 2x^2 - 7x - 15
b. (2x + 3) + (X - 5) = 3x - 2
c. (2x + 3) - ( x - 5) = 2x + 3 - X + 5 = x+ 8
what is the difference in length between the shortest and longest worm
Answer:
Take the length of your longest worm and subtract the length of your shortest worm from it
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1 1/2-3/4=3/2-3/4=6/4-3/4=3/4