Answer:
(- 5, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
Here (x₁, y₁ ) = A(- 8, - 6) and (x₂, y₂ ) = B(- 2, 10) , thus
midpoint = ( \(\frac{-8-2}{2}\) , \(\frac{-6+10}{2}\) ) = (\(\frac{-10}{2}\) , \(\frac{4}{2}\) ) = (- 5, 2 )
Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply.
The answer will be less than $300 because 100 is less than 480.
The answer will be greater than $300 because 480 is greater than 100.
(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.
480 + 300 is the amount of money that the carnival raised on Saturday.
The carnival raised $780 on Saturday.
The carnival raised $1,440 on Saturday. its mulaple choice
Answer:
the second option, the third option, and the last option
Step-by-step explanation:
Answer: a,c,d
Step-by-step explanation: just took it
I WILL GIVE YOU BRAINLIEST JUST PLEASE
Answer:
which question you want to ask please like me,rate,mark as brainlist and follow me please......................
Answer: The first one is 3,000,000
Solve the following equation for x.
(x - 5)/2 = -6
Answer:
-7
Step-by-step explanation:
(x-5)/2=-6
x-5=-12
x=-7
Answer:
x = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
(x - 5)/2 = -6
Step 2: Solve for x
Multiply 2 on both sides: x - 5 = -12Add 5 to both sides: x = -77t-8t+4=5t-2
Solve for t
Answer:
t=1
Step-by-step explanation:
7t-8t+4=5t-2
-1t+4=5t-2
-1t+6=5t
6=6t
1=t
Check
7t-8t+4=5t-2
7(1)-8(1)+4=5(1)-2
-1+4=5-2
3=3
please give brainlist
t=1/3
hope this helped
(1 point) how many different ways can a race with 6 runners be completed? (assume there is no tie.) your answer is : 36
There are 720 different ways can a race with 6 runners be completed.
What is a combination?
The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.
Here, we have
The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.
So the total number of possible results can be calculated as:
n = 6×5×4×3×2×1= 6!
= 720
Hence, there are 720 different ways can a race with 6 runners be completed.
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A beaker has a mass of 129 g. What is the mass of this beaker in kilograms?
Answer: 0.129 kg
Step-by-step explanation:
A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001
how many significant digits are there in the following number: 80,000,089
Answer:
8 significant digits----------------------------
The significant digits include all non-zero numbers (8 and 9) and the zeros between them (the five zeros).
Hence it has 8 significant digits.
There are nine significant digits in 80,000,089.
How many significant digits in 80,000,089?In the number 80,000,089, there are nine significant digits. Significant digits are the digits in a number that carry meaning or contribute to its precision. They do not include leading or trailing zeros that serve as placeholders.
In this case, the significant digits are "8," "0," "0," "0," "0," "0," "8," and "9." Each of these digits contributes to the value and precision of the number. The leading "8" is significant as it represents the tens of millions place, while the trailing "9" represents the units place.
Zeros that appear between nonzero digits, as in "80,000,089," are considered significant because they indicate the magnitude of the number.
However, zeros that appear before the first nonzero digit, such as in "000,000,089," are not considered significant since they only serve as placeholders and do not affect the value or precision of the number.
Therefore, in the number 80,000,089, there are nine significant digits.
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Write an exponential model given the two points (6,130) and (7,220).
Answer:
y=90x−410
Step-by-step explanation:
in point-slope form, this would be...
y−130=90⋅(x−6)<-----
If you convert this to slope-intercept form this would be...
y=90x−410
Drag the tiles to match each equation to its number of solutions. Each tile may be used only once.
one solution no solution infinitely many solutions
Equation Number of Solutions
–2(3x – 1) = –6x – 1
2(3x – 1) = 6x – 2
2(3x – 1) = –6x – 2
Each equation should be matched to its number of solutions as follows;
–2(3x – 1) = –6x – 1 ⇒ no solution.
2(3x – 1) = 6x – 2 ⇒ infinitely many solutions.
2(3x – 1) = –6x – 2 ⇒ one solution.
What are infinitely many solutions?In Mathematics, an equation is said to have an infinitely many solution when the left hand side and right hand side of the equation are the same or equal.
This ultimately implies that, an equation would have infinitely many solutions when both sides of the equal sign are the same, and both the slope and intercept for the two lines are the same.
What is no solution?In Mathematics, no solution is also referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.
Next, we would evaluate each of the given equations as follows;
-2(3x - 1) = -6x - 1
-6x + 2 = -6x - 1
-6x + 6x = -1 - 2
0x = -3 (no solution)
2(3x - 1) = 6x - 2
6x - 2 = 6x - 2 (infinitely many solutions)
2(3x - 1) = -6x - 2
6x - 2 = -6x - 2
6x + 6x = -2 + 2
12x = 0 (one solution).
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Problem 20: Use the distance formula to find the length of line segment PD. If your answer turns out to be a square root that does not equal a whole number, estimate it to one decimal place. J(-2,4) D(4,4) P(3,-2)
The length of line segment PD is given as follows:
PD = 6.1.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates represented by \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The endpoints of the line segment in this problem are given as follows:
D(4,4), P(3,-2) .
The length of the line segment is given by the distance between these two points, as follows:
\(PD = \sqrt{(4 - 3)^2 + (4 - (-2))^2}\)
PD = 6.1.
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draw the structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid.
The structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid is shown below.
We have,
To draw the structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid.
Here's the structure of an optically inactive fat that, when hydrolyzed, yields glycerol, one equivalent of lauric acid, and two equivalents of stearic acid:
H H H
| | |
H O - C - C - C - C - C - C - C - C - C - C - C - C - C - C - O H
| | |
H OH OH
In this structure, the fatty acids attached to the glycerol backbone are lauric acid (C₁₂:0) and stearic acid (C₁₈:0).
The hydrolysis of this fat will break the ester bonds between the glycerol and the fatty acids, resulting in the formation of glycerol, one molecule of lauric acid, and two molecules of stearic acid.
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Simplify (3x4y2)(−2x6y3). a. x10y5 b. −6x24y6 c. −6x10y6 d. −6x10y5
The coefficients and add the Exponents of the variables,correct answer is option a) x^10y^5.
To simplify the expression (3x^4y^2)(-2x^6y^3),
we need to multiply the coefficients and add the exponents of the variables.
The coefficient is 3 * (-2) = -6.
For the variable x, we multiply the exponents: x^4 * x^6 = x^(4+6) = x^10.
For the variable y, we multiply the exponents: y^2 * y^3 = y^(2+3) = y^5.
Putting it all together, the simplified expression is -6x^10y^5.
Therefore, the correct answer is option a) x^10y^5.
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To simplify the expression (3x4y2)(-2x6y3), multiply the coefficients and add the exponents of the variables. The simplified expression is -6x10y5.
Explanation:To simplify the expression (3x4y2)(-2x6y3), we multiply the coefficients (numbers in front) and combine the variables with the same base by adding their exponents. So, (-2)(3) equals -6, x4+6 equals x10, and y2+3 equals y5. Therefore, the simplified expression is -6x10y5, which corresponds to option (d).
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There is a greater correlation between the IQ scores of identical twins raised together than for fraternal twins raised together. What conclusion can be drawn from this data
Answer:
This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.
Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)
Step-by-step explanation:
Sarah has 13 gallons of gas in her car at the beginning of a trip. Every hour Sarah drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. I need A function relating these variables is C(x)=?
(need help kinda quick, pls and thank you!)
tities & Variables -- Ratio & Measurement Timelimit: 1 hour, 10 minutes. 1:04:46 remaining. [x] The number of teachers and students in a school vary such that for each teacher there are 11 students. Write a formula that expresses the number of teachers in the school, ne, in terms of the number of students in the school, T. (Hint: enter n t into the answer box to represent n, and enter n_s for n..) Preview License Points possible: 1 This is attempt 1 of 3. Submit
The formula that expresses the number of teachers in the school, ne, in terms of the number of students in the school, T, is:
ne = T / 11
Based on the given information that for each teacher there are 11 students, we can write a formula to express the number of teachers in the school, ne, in terms of the number of students in the school, T.
Since the ratio of teachers to students is 1:11, we can set up the following equation:
ne / T = 1 / 11
To find the number of teachers, ne, we can rearrange the equation:
ne = (1 / 11) T
Therefore, the formula that expresses the number of teachers in the school, ne, in terms of the number of students in the school, T, is:
ne = T / 11
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The PTA at Middletown High School is having its annual dinner and auction to raise money for music and art programs. Last year, the event raised $20,800. This year, it raised $31,408. What is the percent of increase in the amount raised?
Answer:
51%
Step-by-step explanation:
31,408-20,800=10,608÷20,800=0.51×100=51.
You subtract the retail price from the original and you divide the number you get by the original price and then times the number by a hundred.
show that p/p²- 7 ÷ p²/p²- 49 can be written in the form a + b/p where a and b are integers
We can simplify the expression as follows:
p/(p² - 7) ÷ p²/(p² - 49)
= p/(p² - 7) * (p² - 49)/p² (by flipping the second fraction and multiplying)
= p(p + 7)(p - 7)/(p² - 7)(p²)
= (p + 7)(p - 7)/(p²)
Now, we can write this expression in the form of a + b/p as follows:
(p + 7)(p - 7)/(p²) = (p² - 49 + 2 * 49p)/(p²)
= 1 - 49/p² + 98/p³
Therefore, we can write the expression as:
p/(p² - 7) ÷ p²/(p² - 49) = (p + 7)(p - 7)/(p²) = 1 - 49/p² + 98/p³
So, we have expressed the given expression in the desired form of a + b/p where a = 1 and b = 0 and they are both integers.
You are the accounting manager for Kool Ragz, Inc., a manufacturer of men's and women's clothing. The company needs to borrow $1,300,000 for 90 days in order to purchase a large quantity of material at "closeout" prices. The interest rate for such loans at your bank, Rimrock Bank, is 15% using ordinary interest.
(a) What is the amount (in $) of interest on this loan?
$ ?
(b) After making a few "shopping" calls, you find that Southside National Bank will lend at 15% using exact interest. What is the amount (in $) of interest on this offer? (Round your answer to two decimal places.)
$ ?
(c) So that it can keep your business, Rimrock Bank has offered a loan at 14.5% using ordinary interest. What is the amount (in $) of interest on this offer?
$ ?
(d) (Challenge) If Southside National wants to compete with Rimrock's last offer (part c) by charging $1,125 less interest, what rate (as a %), rounded to the nearest hundredths of a percent, must it quote using exact interest?
% ?
Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.
To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest. (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.
(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500. (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.
(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.
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The distribution of ph levels for all community swimming pools in a large county is approximately normal with mean 7. 5 and standard deviation 0. 2. According to swimming pool studies, the safest ph levels for water in swimming pools are between 7. 2 and 7. 8. (a) one community swimming pool in the county will be selected at random. What is the probability that the selected pool has a ph level that is not considered safe?.
The probability that the selected pool has a ph level not considered safe is approximately 0.22 (or 22%). This can be calculated using the cumulative probability of a normal distribution with a mean of 7.5 and a standard deviation of 0.2.
1. Calculate the z-score for the lower limit of 7.2: (7.2 - 7.5) / 0.2 = -1.5
2. Calculate the z-score for the upper limit of 7.8: (7.8 - 7.5) / 0.2 = 1.5
3. Calculate the cumulative probability of the lower limit: P(-1.5) = 0.0668
4. Calculate the cumulative probability of the upper limit: P(1.5) = 0.9332
5. Calculate the probability that the selected pool has a ph level not considered safe: P(not safe) = 1 - (P(1.5) - P(-1.5)) = 0.22
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Find the slope of the line going through the points (-1,0) and
(1,-4). Write your answer in simplest form.
Answer:
Slope = -2
Step-by-step explanation:
Slope = \(\frac{y^{2}-y^{1} }{x^{2} -x^{1} }\)
Slope = \(\frac{-4-0}{1-(-1)}=\frac{-4}{2}=-2\)
i chose the last one but i just want to make sure i got right
Answer:
Yes! Good job!
If you can pick multiple its also C. and B.
Problem PLS HELP MY GRADES GOING DOWN
Answer:
$248
Step-by-step explanation:
given:
4 deposits
$62
solve:
4 × $62= $248
Answer:
$248
Step-by-step explanation:
You can answer it two ways:
1) add 62 + 62 + 62 + 62 = 248
2) multiply 4 * 62 = 248
Answer: $248
Solve the equation below and find the variation constant, k. Find x when y = 32, if y varies inversely as x, and y = 10 when x = 40
Given: y=10 then x=40
We use cross multiplication and set it up as a fraction.
\(\frac{x}{40}=\frac{32}{10}\text{ }\Rightarrow10x=32*40\text{ }\Rightarrow10x=1280\Rightarrow\frac{10x}{10}=\frac{1280}{10}\)So you just divide 10 on both sides to get x by itself.
Answer: x=128
Please help I’m very confused and I need help.
UREGENT HELP WNATED
Whích transformations to the graph of j(x) would result in the graph of j(4x) - 27?
Cm
O horizontal stretch by a factor of 4, and a translation 27 units right
O horizontal stretch by a factor of 4, and a translation 27 units down
O horizontal compression by a factor of , and a translation 27 units right
horizontal compression by a factor of , and a translation 27 units down
Answer:
D) horizontal compression by a factor of 1/4, and a translation 27 units down
Step-by-step explanation:
Got this right on edge.
Problem 1. For each whole number n, explain why there exists x
with (2n−1)π/2 < x < (2n+1)π/2 such that tan(x)=x
We have shown that for every whole number n, there exists a value of x in the interval (2n−1)π/2 < x < (2n+1)π/2 such that tan(x) = x.
To prove that there exists a value of x such that tan(x) = x for each whole number n, we can use the Intermediate Value Theorem.
The Intermediate Value Theorem states that if a continuous function takes on two different values at two different points in an interval, then it must also take on every value between those two points at some point within the interval.
In this case, we consider the function f(x) = tan(x) - x. We want to show that there exists a value of x in the [(2n-1)π/2, (2n+1)π/2] where f(x) = 0, which means tan(x) = x.
First, we note that f(x) is continuous within the given interval since both tan(x) and x are continuous functions.
Next, we evaluate f((2n-1)π/2) and f((2n+1)π/2):
f((2n-1)π/2) = tan((2n-1)π/2) - (2n-1)π/2 = -∞ - (2n-1)π/2 < 0
f((2n+1)π/2) = tan((2n+1)π/2) - (2n+1)π/2 = ∞ - (2n+1)π/2 > 0
Since f((2n-1)π/2) < 0 and f((2n+1)π/2) > 0, by the Intermediate Value Theorem, there must exist a value of x in the integral [(2n-1)π/2, (2n+1)π/2] such that f(x) = 0. This means there exists an x such that tan(x) = x for each whole number n.
Therefore, we have shown that for every whole number n, there exists a value of x in the interval (2n−1)π/2 < x < (2n+1)π/2 such that tan(x) = x.
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Find the slope for the line that passes through the points (-2,5) and (1,0)
Answer:
\(m=\frac{-5}{3}\)
Step-by-step explanation:
Pre-SolvingWe want to find the slope between the points (-2,5) and (1,0).
The slope (m) can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.
SolvingWe are already given the values of the points, but let's label their values to avoid any confusion and mistakes.
\(x_1=-2\\y_1=5\\x_2=1\\y_2=0\)
Now, substitute into the formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{0-5}{1--2}\)
Simplify this to:
\(m=\frac{0-5}{1+2}\)
\(m=\frac{-5}{3}\)
The slope is -5/3.
Tara bought one share of Apple stock in 2018 for $43.75. Then, three years later, she sold it for $136.76. How much money did she gain/lose with this stock? What was her return on investment?
Answer:
Gain= $93.01
ROI= 212.59%
Step-by-step explanation:
Given data
Cost of apple share in 2018 = $43.75
Sale price of apple share= $136.76
1. Her gain is
Gain= Sales price- Cost price
Gain = 136.76-43.75
Gain= $93.01
2. ROI is
ROI= Gain/cost*100
ROI= 93.01/43.75*100
ROI=2.1259*100
ROI= 212.59%
Determine the domain of the following graph:
if this question can be answered by 6:25 you'll literally be saving my life
Answer:
Domain: -5, -3, -2, 1, 3
Step-by-step explanation:
Find all the points on the x-axis that line up with the line shown on the graph.