Answer:
(x, y) = (-9, -1)
Step-by-step explanation:
Start by graphing two equations on the graph through the y-intercept and the slope.
Since they have different slope, they would intercept somewhere on the graph, which you can see clearly where they intercept from the drawing I included below.
*sorry for the terrible drawing
help pls idk how to do this me has smol brain
Answer:
34.8
Step-by-step explanation:
Answer:
34.8x
Good Luck!!!
The ponderal indexis a measure of the "leanness" of a person. A person who is h inches tall and weighs w pounds has a ponderal index I given by I = a. Compule the ponderal index for a person who is 76 inches tall and weighs 192 pounds: Round to the nearest hundredth. b. What is a man's weight if he is 77 inches tall and has a ponderal index of 11.56 ? Round to the nearest whole number. a. The ponderal index for a person who is 76 inches tall and weighs 192 pounds is (Round to the nearest hundredth as needed.)
The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.
To compute the ponderal index, we need the formula and the value of the constant "a."
a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.
b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.
To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.
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Find the x- and y-intercepts of : 4y-6x = 24
Answer:
x-intercept: (-4, 0)
y-intercept: (0, 6)
Step-by-step explanation:
4y - 6x = 24
To find the x-intercept, set the y value equal to 0.
4(0) - 6x = 24
Simplify by removing 4(0) since it just equals 0.
-6x = 24
Divide both sides of the equation by -6
x = -4
Since we set y equal to 0 and we know that the x value is -4, we can create a coordinate for the x-intercept of the equation.
(x, y) = (-4, 0)
Repeat the process for finding the y-intercept, but set x equal to 0.
4y - 6(0) = 24
4y - 0 = 24
4y = 24
Divide both sides of the equation by 4
y = 6
Write as a coordinate/intercept.
(x, y) = (0, 6)
Let me know if you have any questions!
What is the mortgage loan amount on a home that sells for $230,000 with a down payment of $23,000? Use the formula
M = S − D,
where M is the mortgage loan amount, S is the selling price, and D is the down payment
The mortgage loan amount on a home that sells is 207000$.
A down payment is the initial amount a buyer pays to purchase an expensive product or service. The down payment represents a portion of the total purchase price, and the buyer often takes out a loan for the rest.
The formula loan calculators use is I = P * r *T in layman's terms Interest equals the principal amount multiplied by your interest rate times the amount in years.
M = S − D where M is the mortgage loan amount, S is the selling price, and D is the down payment.
M = $230,000 - $23,000
and = 207000$
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Rewrite in simplest terms 6(6r+8)-2r
Answer:
34r+48
Step-by-step explanation:
36r+48-2r=34r+48
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase
Answer:
132 tiles
Step-by-step explanation:
Each tile cost $4
The adhesive/grouting material costs $17.82.
If the contractor pays a total of $545.82
Let the number of tiles be represented as x
The equation is represented as:
$17.82 + $4 × x = $545.82
17.82 + 4x = 545.82
Collect like terms
4x = 545.82 - 17.82
4x = 528
Divide bother sides by 4
4x/4 = 528/4
x = 132
The number of ceramic tiles the contractor bought = 132 tiles
Elliot make and ell key chain. Hi profit depend on what price he charge for a key chain. He write the expreion (x−10)(60−3x) to repreent hi profit baed on the price per key chain, x
The expression (x - 10)(60 - 3x) represents Elliot's profit based on the price per key chain, where x is the price in dollars that Elliot charges for each key chain.
The expression can be interpreted as follows:
x - 10 represents the revenue Elliot makes from each key chain, as it's equal to the price per key chain minus the cost of materials for each key chain.
60 - 3x represents the number of key chains Elliot can make and sell, as it's equal to the maximum amount of money Elliot has minus the total cost of materials for all key chains.
So, (x - 10)(60 - 3x) represents Elliot's total profit, which is equal to the revenue from each key chain multiplied by the number of key chains Elliot can make and sell.
In other words, Elliot's profit is proportional to both the price he charges per key chain and the number of key chains he can sell at that price. The expression captures this relationship and can be used to determine Elliot's profit for different prices.
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The expression (x - 10)(60 - 3x) represents Elliot's profit based on the price per key chain, where x is the price in dollars that Elliot charges for each key chain.
The expression can be interpreted as follows:
x - 10 represents the revenue Elliot makes from each key chain, as it's equal to the price per key chain minus the cost of materials for each key chain.
60 - 3x represents the number of key chains Elliot can make and sell, as it's equal to the maximum amount of money Elliot has minus the total cost of materials for all key chains.
So, (x - 10)(60 - 3x) represents Elliot's total profit, which is equal to the revenue from each key chain multiplied by the number of key chains Elliot can make and sell.
In other words, Elliot's profit is proportional to both the price he charges per key chain and the number of key chains he can sell at that price. The expression captures this relationship and can be used to determine Elliot's profit for different prices.
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Twenty people are put into an insurance pool. Of these twenty people, • 12 people each have expected payouts of $4,500 per year. 5 people each have expected payout of $12,300 per year. • 2 people each have expected payouts of $20,800 per year. • 1 person has an expected payout of $30,900 per year. How much is the average expected payout for each member of the group of twenty? Average Expected Payout is $
Answer:
the average payout should be $157,100
hope this helps <3
Rearrange Equation to have y alone.
10x-2y=46
Answer:
y = 5x - 23
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 10x from both sides:
10x (-10x) - 2y = 46 (-10x)
-2y = -10x + 46
Next, divide -2 from all terms in the equation:
(-2y)/-2 = (-10x + 46)/-2
y = (-10x)/-2 + (46)/-2
y = 5x - 23
y = 5x - 23 is your answer.
~
Answer:
y= 5x-23
Step-by-step explanation:
10x-2y =46
10x-10x-2y =46-10x
-2y= 46-10x
-2y/-2= 46-10x/-2
y= 5x-23
for this and the following 3 questions, calculate the t-statistic with the following information: x1 =62, x2 = 60, n1 = 10, n2 = 10, s1 = 2.45, s2 = 3.16. what are the degrees of freedom?
According to the statement the statistic is often calculated using the formula t = (x1 - x2) / se, where se is the standard error.
When two groups' means are compared, a t-test is used to determine if they are significantly different. A t-test is a statistical measure that aids in determining whether the means of two groups are significantly different from one another. To obtain the degrees of freedom for the t-test, use the following formula: df = n1 + n2 - 2 = 10 + 10 - 2 = 18.That is, the degrees of freedom (df) for the t-test when x1 = 62, x2 = 60, n1 = 10, n2 = 10, s1 = 2.45, s2 = 3.16 is 18. As seen here, the statistic is often calculated using the formula t = (x1 - x2) / se, where se is the standard error.
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Jason is going to invest $720 and leave it in an account for 6 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Jason to end up with $930
Answer: A = Pe^(rt)
Where A is the amount of money at the end of the investment period, P is the principal amount, e is the mathematical constant e (approximately equal to 2.71828), r is the interest rate, and t is the time period.
In this case, we know that:
P = $720 (the initial investment)
A = $930 (the desired end amount)
t = 6 years (the investment period)
We can solve for r by rearranging the formula:
r = ln(A/P) / t
Where ln is the natural logarithm.
Plugging in the numbers, we get:
r = ln($930/$720) / 6
r = 0.0436 or 4.36%
Therefore, Jason would need an interest rate of approximately 4.36% (to the nearest hundredth of a percent) in order to end up with $930 after 6 years of continuous compound interest.
Answer:4.27%
Step-by-step explanation:
: In a recent year, 8.920,623 male students and 1,925,243 female students were enrolled as undergraduates. Receiving and were 62.8% of the male students and 66.8% of the femate students. Of those receiving ald, 44.9% of the mates get federal aid and 51.6% of the females got federal aid. Choose 1 student at random. (Hint: Make a tree diagram.) Pind the probability of selecting a student from the following. Carry your intermediate computations to at least 4 decimal places. Round the final answers to 3 decimal places. Part: 0/3 Part 1 of 3 A female student without ad Plemale without sid) -
The probability of selecting a female student without aid is obtained by subtracting the probability of selecting a female student with aid from 1.
To find the probability of selecting a female student without aid, we can use the following information:
Total male students: 8,920,623
Total female students: 1,925,243
Percentage of male students receiving aid: 62.8%
Percentage of female students receiving aid: 66.8%
Percentage of male students receiving federal aid: 44.9%
Percentage of female students receiving federal aid: 51.6%
First, let's calculate the number of male students receiving aid:
Male students receiving aid = Total male students * Percentage of male students receiving aid
Male students receiving aid = 8,920,623 * 0.628
Next, let's calculate the number of male students receiving federal aid:
Male students receiving federal aid = Male students receiving aid * Percentage of male students receiving federal aid
Male students receiving federal aid = (8,920,623 * 0.628) * 0.449
Now, let's calculate the number of female students receiving aid:
Female students receiving aid = Total female students * Percentage of female students receiving aid
Female students receiving aid = 1,925,243 * 0.668
Finally, let's calculate the number of female students receiving federal aid:
Female students receiving federal aid = Female students receiving aid * Percentage of female students receiving federal aid
Female students receiving federal aid = (1,925,243 * 0.668) * 0.516
To find the probability of selecting a female student without aid, we need to calculate the complement of the event "selecting a female student with aid":
Probability of selecting a female student without aid = 1 - (Female students receiving federal aid / Total female students)
Now we can plug in the values and calculate the probability:
Probability of selecting a female student without aid = 1 - ((1,925,243 * 0.668 * 0.516) / 1,925,243)
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A number increased by three is the same as quadrupling that number increased by five all divided by four. What is le number?
Answer:
The number is infinity
Step-by-step explanation:
Let the unknown number be x
if the number increased by three, then we have;
x + 3
Also quadrupling that number increased by five all divided by four is expressed as;
(4x+5)/4
Equating bith expressions and calculating x;
x+3 = (4x+5)/4
cross multiply;
4(x+3) = 4x + 5
4x+12 = 4x + 5
4x-4x = 5 - 12
0x = -7
x = -7/0
x = ∞
Hence the number is infinity
What sum deposited today at 7% compounded annually for 15 years will provide the same amount as $1100 deposited at the end of each year for 15 years at 9% compounded annually? What sum would have to be deposited today at 7% interest compounded annually? $ = _____. (Round to the nearest cent.)
The sum of $11705.92 would have to be deposited today at 7% interest compounded annually to provide the same amount as $1100 deposited at the end of each year for 15 years at 9% compounded annually.
In order to find the sum that would have to be deposited today at 7% interest compounded annually,
We use the formula for the future value of an annuity;
⇒ FV = PMT×((1 + r)ⁿ - 1)/r;
Where FV = future value of annuity, PMT = payment made at end of each period, r = interest rate per period, and n = number of periods.
In this case, we know that $1100 is deposited at the end of each year for 15 years at 9% compounded annually.
So, we can calculate the future value of this annuity as:
⇒ FV = $1100×((1 + 0.09)¹⁵ - 1)/0.09
⇒ $32297.0079
We know that a sum deposited today at 7% compounded annually for 15 years will give same amount as $32297.0079;
So, we write the equation to solve for the sum;
⇒ PV = FV/(1 + r)ⁿ,
Where PV = present value of annuity,
Substituting the values,
We get,
⇒ PV = $32279.0079/(1 + 0.07)¹⁵ = $11705.92
Therefore, the amount to be deposited at 7% today is $11705.92.
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The given question is incomplete, the complete question is
The sum deposited today at 7% compounded annually for 15 years will provide the same amount as $1100 deposited at the end of each year for 15 years at 9% compounded annually.
What sum would have to be deposited today at 7% interest compounded annually?
a telephone booth 7 ft tall casts a shadow 20 ft long. At the same time, a nearby fire hydrant casts a shadow 8 ft long. Find the height of the fire hydrant
Answer:
2 4/5 feet
Step-by-step explanation:
let 'x' = height of fire hydrant
7/20 = x/8
cross-multiply:
20x = 56
x = 56/20 or 14/5, which is 2 4/5
List the first four perfect squares. Next, list the first four perfect cubes. Following that same pattern find a number that is a perfect square and also a perfect cube other than the number 1. Explain how you found your answer.
We can list the first four perfect squares:
\(1^2=1,2^2=4,3^2=9,4^2=16\)We can following the same pattern to find the rest of the square and compare them to those that are a perfect cube:
\(5^2=25,6^2=36,7^2=49,8^2=64,9^2=81,10^2=100\)Then, we have
\(1^3=1,2^3=8,3^3=27,4^3=64,5^3=125^{}\)We can see from the two lists:
Perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100....
Perfect cubes: 1, 8, 27, 64, 125....
Comparing these two lists, we have that the number 64 is, at the same time, a perfect square and a perfect cube.
Then, to find the answer, we need to make two lists, first, raising the natural numbers to the second power, and then, to the third power, and compare when we get a number is a perfect square and a perfect cube (the other apart from 1).
Is (- 2, 2) a solution to the system y - x = - 4 and -3x - 2y =
- 10?
• No, because (- 2, 2) is a solution to only one equation.
• Yes, because (- 2, 2) is a solution to both equations.
•Yes, because ( - 2, 2) is a solution to one equation.
•No, because ( - 2, 2) is a solution to neither equation.
(-2, 2) is not a solution to the system of equations y - x = -4 and
-3x - 2y = -10.
Option D is the correct answer.
We have,
We can check whether (-2, 2) is a solution to the system by substituting the values of x and y into both equations and verifying whether they are true.
y - x = -4:
(2) - (-2) = -4
4 = -4
This is false, so (-2, 2) is not a solution to the first equation.
-3x - 2y = -10:
-3(-2) - 2(2) = -10
6 - 4 = -10
2 = -10
This is also false, so (-2, 2) is not a solution to the second equation.
Therefore,
(-2, 2) is not a solution to the system of equations y - x = -4 and
-3x - 2y = -10.
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Solve in PEMDAS:
3 + [2 + 3 X (6 X 3)]
-36>6x+12 please help
The given expression is
- 36 > 6x + 12
By subtracting 12 from both sides of the inequality, we have
- 36 - 12 > 6x + 12 - 12
- 48 > 6x
Dividing both sides of the inequality by 6, we have
- 48/6 > 6x/6
- 8 > x
We can write this as
x < - 8
Complete the work shown to answer the question. p2 – 14p – 72 = 0 p2 – 14p = 72 p2 – 14p + 49 = 72 + 49 Which describes the solutions of the equation?
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation:
A. Since 7 and 11 are both rational, the sum and difference are rational.
B. Since 14 and 11 are both rational, the sum and difference are rational.
C. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
D. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
p² – 14p – 72 = 0
p² – 14p = 72
p² – 14p + 49 = 72 + 49
p² - 14p + 49 = 121
(p - 7)² = 121
find the square root of both sides
√(p - 7)² = √121
p - 7 = ±11
p = +11 - 7 or p = -11 - 7
p = 4 or -18
These triangles
are congruent
by the triangle
congruence
postulate [? ]
A. SAS
B. SSS
C. Neither, they are not congruent
Answer:
B-SAS
Step-by-step explanation:
Was right on acellus
Which of the following data sets has the smallest standard deviation and provides correct reasoning as to why it has the smallest standard deviation?
A) {-2, -1, 0, 1, 2} because the distribution of values is symmetrical around zero.
B (99.8, 99.9, 100, 100.1, 100.2} because the range of values is clustered very close to the mean.
c {9, 9.5, 10, 10.5, 11} because the difference between successive values is constant.
(80, 93, 100, 110, 118) because the sample mean is equal to the true mean of the population
Answer: is #b
Step-by-step explanation:
what is the partial fraction calculator?
A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.
A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.
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Can someone help. Please!
Answer:
Step-by-step explanation:
a. 110°
b. 70°
c. 110°
d. 70°
e. 110°
f. 70°
g. 110°
please help me if you can, thank you!
Answer:
Step-by-step explanation: 3(z-4)= -6
3z-12=-6
3z=6
z=2
What is the solution for −6x 9≤2−5(x 1)? responses x≤4 x ≤ 4 x≥4 x ≥ 4 x≥12 x ≥ 12 x≤12
Five friends are sharing 8 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer: 1 3/5
Step-by-step explanation:
From the question, we are informed that five friends are sharing 8 cups of lemonade and that they share the lemonade equally.
The number of cups that each friend gets will be calculated by dividing the number of cups of lemonade by the number of friends. This will be:
= 8 / 5
= 1 3/5
Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24
Answer:Computer Store sells DVDs for a day = 110
No. of days the store works = 266
No. of DVDs saled in 266 days = 266 days x 110DVDs
= 29,260 DVDs
Step-by-step explanation:
I ordered some books online for myself and friends.
Each book costs $13 and the store charges a one-time shipping fee of $ 20
Write an expression for the cost of buying nn books.
The expression for the cost of buying n book will be 20 + 13n.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
It is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In this case, the person some books online for myself and friends and each book costs $13 and the store charges a one-time shipping fee of $20.
The expression for the cost of buying n books is:
= 20 + (13 × n)
= 20 + 13n
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for a series of length 169, we find that r1 = 0.41, r2 = 0.32, r3 = 0.26, r4 = 0.21, and r5 = 0.16. what arima model fits this pattern of autocorrelations
Arima model fits this pattern of autocorrelations is ARIMA(5,0,0).
The Autoregressive Integrated Moving Average (ARIMA) is an acronym that stands for the Autoregressive Integrated Moving Average model.
It is a statistical model for time series data that describes the correlation between points in a time series and provides insights into the temporal behavior of a variable.
The ARIMA model is a forecasting technique that uses time series data to make predictions. It is widely used in finance, economics, and other fields where it is necessary to predict the future behavior of a variable.
ARIMA models have the advantage of being able to capture trends, seasonality, and other patterns that can be difficult to detect using other methods.
The ARIMA model is made up of three parts:
the autoregressive (AR) component, the integrated (I) component, and the moving average (MA) component. The AR component takes into account the relationship between the current observation and the previous observations.
The I component deals with the trend and seasonality of the data. The MA component takes into account the relationship between the current observation and the previous errors.
For the series of length 169, we find that r1 = 0.41, r2 = 0.32, r3 = 0.26, r4 = 0.21, and r5 = 0.16. The ARIMA model that fits this pattern of autocorrelations is ARIMA(5,0,0), which means that there are five autoregressive terms in the model and no moving average or integrated terms are needed.
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