Answer:
9 = m
Step-by-step explanation:
-5 = 4 - m
-9 = -m
m=9
4x -2y = 16 solve for y=mx+b
Answer:
y=2x-8
Step-by-step explanation:
Subtract 4 x from both sides of the equation. − 2 y = 16 − 4 x Divide each term by − 2 and simplify. Tap for fewer steps... Divide each term in − 2 y = 16 − 4 x by − 2 . − 2 y − 2 = 16 − 2 + − 4 x − 2 Cancel the common factor of − 2 . Tap for fewer steps... Cancel the common factor. − 2 y − 2 = 16 − 2 + − 4 x − 2 Divide y by 1 . y = 16 − 2 + − 4 x − 2 Simplify 16 − 2 + − 4 x − 2 . Tap for fewer steps... Simplify each term. Tap for fewer steps... Divide 16 by − 2 . y = − 8 + − 4 x − 2 Cancel the common factor of − 4 and − 2 . Tap for fewer steps... Factor − 2 out of − 4 x . y = − 8 + − 2 ( 2 x ) − 2 Cancel the common factors. Tap for more steps... y = − 8 + 2 x Reorder − 8 and 2 x . y = 2 x − 8
Answer:
Y = 2x - 8
Step-by-step explanation:
-2y = -4x + 16
y = 2x - 8
Your welcome
A red candle is 8 inches tall and burns at a rate of 7
10 inch per hour.
A blue candle is 6 inches tall and burns at a rate of 1
5 inch per hour.
After how many hours will both candles be the same height?
After four hours, the height of the candles will be the same.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.
Let x be the number of hours and y be the height.
y = -0.70x + 8 ...1
y = -0.20x + 6 ...2
From equations 1 and 2, then we have
- 0.20x + 6 = - 0.70x + 8
(0.70 - 0.20)x = 8 - 6
0.50x = 2
x = 4 hours
After four hours, the height of the candles will be the same.
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PLEASE HELP!!!!!!
1. Spencer went to the county fair and spent his money only on ride tickets and fair admission. He bought 17 tickets for the rides and spent a total of $30.75 at a county fair. The county fair charges $1.25 per ticket for the rides and the price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets. (a) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission. (b) Explain your answer to Part 1a.
The linear equation that represents how much he spent is given as y = 1.25x + 9.55
Linear EquationA linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear function is given y = mx + c
m = slopec = interceptTo solve this problem, we can simply use the values given to write a linear equation.
Can be written as
\(30.75 = 1.25x + c\\x = 17\\30.75 = 1.25(17) + c\\c = 30.75 - 21.25\\c = 9.55\\\)
The equation to represent this problem is y = 1.25x + 9.55
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What is the answerr
f(x)=3x+2
Answer:
x+2
Step-by-step explanation:
how to calculate urine output from diaper weight
Answer:
Step-by-step explanation:
mass of the urine lol
Mr. Lawson also makes cupcakes in his bakery . He made 9 dozen cupcakes for the school to sell at its Spring Fling
- The school sold 36 cupcakes by noon
- They sold 24 more cupcakes by 3:30
- The remaining cupcakes were sold equally during each of the 2 hours between 4 and 6 o’ clock.
Write an equation that can be used to find c , the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock
The number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.
How to write an equation that can be used to find c?Since the total number of cupcakes that were sold is equal to 9 dozen cupcakes.
Total number of cupcakes = 9 * 12 = 108 cupcakes.
Since c is the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock.
We can write an equation that represents the total number of cupcakes sold as follows:
36 + 24 + c + c = 108
Solve for c:
36 + 24 + c + c = 108
36 + 24 + 2c = 108
60 + 2c = 108
2c = 108 - 60
2c = 48
c = 48/2
c = 24
Therefore, the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.
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T/F the proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the .
The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.
What is coefficient of determination?
The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.
R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.
R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.
You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:
Dots represent the observations.
The line of best fit, or predictions of the model, is displayed as a black line.
Purple lines represent the deviations (the residuals) between the data and their expected values.
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each platform varies in the number of videos or images that can be added for a carousel ad, but the range is limited to what number?
The maximum limit to add the videos or images in Carousel is 10MB and the aspect ratio to add the images or videos is 1:1
There are many applications that are present where the videos and images can be added in the websites. The maximum images in the in few website is nine, but in carousel is 10MB of size and also it can be added up to 1:1 ratio of aspect size. The Carousel also allows the user to add slides and images. It helps to add the graphical representation.
The size of the videos must be from 60 seconds to 30 seconds of size and also the video includes the visual templets that help the user to have the presentation in an effective ways. There are many templets that also helps the user to present in a professional way. The carousel is a cloud representation that helps to create the slideshow online and also present it in the blockage videos. The online photos and images can also be added.
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+
Of(x) = x-3
Of(x)=3-3x
Of(x)=3-x
Of(x)=3x+3
5
Put the following equation below in function notation using x as the independent variable.
3x - 3y=9
Putting the equation, 3•x - 3•y = 9, in functional notation is expressed by the option;
f(x) = x - 3How can the equation be put in functional notation?Writing an equation in functional notation means expressing a variable as a function of the other variables, for example;
y = f(x), which is read as y equals 'f of x', which means that y is a function of x
The given equation is; 3•x - 3•y = 9
Expressing y as the subject of the equation, gives;
3•x - 3•y = 9
3•y = 3•x - 9
\( \frac{3 \cdot y}{3} = \frac{3 \cdot x - 9}{3} = x - 3\)
\( \frac{3 \cdot y}{3} = y = x - 3\)
Therefore;
y = x - 3Writing the above equation using function notation, where y = f(x), we get;
y = f(x) = x - 3The equation in functional notation is therefore;
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A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Find the annual payments for an ordinary annuity and an annuity due for 8 years with a PV of $1,000 and an interest rate of 6%. Round your answers to the nearest cent.
Annual payment for ordinary annuity: $
Annual payment for annuity due: $
The annual payment for an ordinary annuity is approximately $191.08, while the annual payment for an annuity due is approximately $203.43.
The present value of an annuity formula can be used to calculate the annual payments for both ordinary annuities and annuities due. The formula is as follows:
Annual Payment = PV / [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
r = Interest Rate per period
n = Number of periods
For the given scenario, the present value (PV) is $1,000, the interest rate (r) is 6%, and the number of periods (n) is 8 years.
For the ordinary annuity:
Annual Payment (Ordinary) = $1,000 / [(1 - (1 + 0.06)^(-8)) / 0.06] ≈ $191.08 (rounded to the nearest cent)
For the annuity due, the only difference is that the payment is made at the beginning of each period rather than the end. Therefore, the formula remains the same, but we do not need to subtract 1 from the result.
Annual Payment (Due) = $1,000 / [(1 - (1 + 0.06)^(-8)) / 0.06] ≈ $203.43 (rounded to the nearest cent)
Thus, the annual payment for an ordinary annuity is approximately $191.08, while the annual payment for an annuity due is approximately $203.43.
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WILL MARK BRAINLIEST! Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each bracelet: • The price of the necklace was $27. • The bracelets were both the same price.
Tim, Ryan, and Joe are brothers. Their mom, Lisa gives them each a weekly allowance. Since Tim is older, she gives him 4 more dollars than Joe. Ryan is the youngest and receives 2 less dollars than Joe. Lisa gives a total of 20 dollars a week in allowance. With Joe receiving m dollars, which equation demonstrates the situation?
Answer:
m + (m+4) + (m-2) = 20 or 3m + 2 = 20
Step-by-step explanation:
find the radius of a circle having area 2464cm²
\({ \bf{ \underbrace{Given :}}}\)
Area of the circle = 2464 cm².
\({ \bf{ \underbrace{To\:find:}}}\)
The radius of the circle.
\({ \bf{ \underbrace{Solution :}}}\)
\(\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
Let "\(r\)" be the radius of the circle.
We know that,
\(\sf\purple{Area\:of\:a\:circle \:=\:πr²}\)
\(⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢ {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢ {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢ {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm\)
\(\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}\)
\(\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}\)
16. Make Sense and Persevere
Meghan's vegetable garden is pictured
below. What is its area?
21 ft
18 A
12 ft
38 ft
The speed of sound through glass is 1.63 × 10 4 kilometers per hour. Expressed in standard form, how many kilometers per hour is that? 0.000163 1.6300 16,300 163,000
Answer:
16,300
Step-by-step explanation:
Answer:
the answer is 16,300
Step-by-step explanation:
hope this answer helps
What is the standard deviation of 5, 9, 9, 1, 5, 7, 6 then round it to the nearest tenth
The standard deviation of 5, 9, 9, 1, 5, 7, 6 rounded to the nearest tenth is 2.6.
Standard deviation calculationStep 1: Calculate the mean
Mean = (5 + 9 + 9 + 1 + 5 + 7 + 6) / 7 = 42 / 7 = 6
Step 2: Subtract the mean and square the differences
\((5 - 6)^2\) = 1
\((9 - 6)^2\) = 9
\((9 - 6)^2\) = 9
\((1 - 6)^2\) = 25
\((5 - 6)^2\) = 1
\((7 - 6)^2\) = 1
\((6 - 6)^2\) = 0
Step 3: Calculate the mean of the squared differences
Mean = (1 + 9 + 9 + 25 + 1 + 1 + 0) / 7 = 46 / 7 = 6.5714
Step 4: Take the square root of the mean
Standard Deviation = sqrt(6.5714) ≈ 2.5651
Rounded to the nearest tenth, the standard deviation is approximately 2.6.
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What are the coordinates of the roots of the equation 3 + 2x-x^2 = 0
Answer:
(- 1, 0 ) and (3, 0 )
Step-by-step explanation:
Given
3 + 2x - x² = 0 ( multiply through by - 1 and rearrange )
x² - 2x - 3 = 0
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)
The factors are - 3 and + 1 , since
- 3 × 1 = - 3 and - 3 + 1 = - 2, then
(x + 1)(x - 3) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
The coordinates of the roots are (- 1, 0 ) and (3, 0 )
in a large western university, 15% of the students are graduate students. if a random sample of 5 students is selected, what is the probability that the sample contains exactly three graduate students?
There is a 0.2428 percent chance that the sample comprises exactly three graduate students.
Given That,
15% of the students at a big western university are graduate students. If five students are chosen at random as a sample
What is Binomial Distribution ?
The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.
This is a binomial distribution, the probability distribution function is
P(X =x) = C^320 (0.15)^3(1-0.15)^20-3
= [(20x19x18)/2x3](0.15)^3(1-0.15)^20-3
= 0.2428
As a result, 0.2428 is the likelihood that the sample contains exactly three graduate students.
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Marginal revenue product = 40 - q/10. The cost of labor wl = 10. The production function is q = 20l. What is the profit maximizing quantity of labor to hire? answer is an integer
A function assigns the values. The profit-maximizing quantity of labour to hire is 15 workers.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the marginal revenue product, MRP = 40-(Q/10)
The cost of labour, WL = 10
The production function, Q = 20 L
For profit maximizing quantity of labour to hire where,
MRP = WL
40-(Q/10) = 10
40-(20L/10)=10
40-2L=10
-2L = 10-40
-2L=-30
L=15
Hence, the profit-maximizing quantity of labour to hire is 15 workers.
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Use the scenario to answer the question
Answer:
-$5.27 per day
Step-by-step explanation:
1st. $300
6th. $273.65
19th. $205.14
25th. $173.52
28th. $157.71
Lets use the one that has the least amount of days separated to make it easier
28th and 25th
157.71 - 173.52 = -15.81
count how many days are separated (3)
then divide that to what the amount is
-15.81 / 3 = -$5.27 per day
. The temperature on Monday was −5∘C . By Tuesday the temperature rose to −2∘C. Find the change in temperature.
Answer: \(3^{\circ}C\)
Step-by-step explanation:
Given
The temperature on Monday was \(-5^{\circ}C\)
By Tuesday, it becomes \(-2^{\circ}C\)
Change in temperature is the difference between the two temperatures.
\(\Rightarrow \Delta T=-2-(-5)\\\Rightarrow \Delta T=-2+5\\\Rightarrow \Delta T=3^{\circ}C\)
Therefore, the change in temperature is \(3^{\circ}C\).
Consider the following function. f(x) = x³ – 3x² – 9x + 5 Find the first and second derivatives. f'(x) = f"(x) = Find any values of c such that f"(c) = 0. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE) C = Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.) Find the inflection point of f. (x, y) =
The required answer is f'(x) = \(3x^2\) - 6x - 9 f''(x) = 6x - 6C = 1 and Intervals of concavity: f''(x) > 0, x ε (-∞, 1)f''(x) < 0, x ε (1, ∞)Inflection point: (1, -6) for the derivative.
Consider the function `f(x) = \(x^3 – 3x^2\)– 9x + 5` .First derivative of the given function,f(x) = \(x^3 – 3x^2\) – 9x + 5f'(x) = 3x² - 6x - 9
The derivative is a key idea in calculus that gauges how quickly a function alters in relation to its independent variable. It offers details on a function's slope or rate of change at any specific point. The symbol "d" or "dx" followed by the name of the function is generally used to represent the derivative.
It can be calculated using a variety of techniques, including the derivative's limit definition and rules like the power rule, product rule, quotient rule, and chain rule. Due to its ability to analyse rates of change, optimise functions, and determine tangent lines and velocities, the derivative has major applications in a number of disciplines, including physics, economics, engineering, and optimisation.
The second derivative of the given function,f(x) = \(x^3 – 3x^2\) – 9x + 5f''(x) = 6x - 6Now, finding the value of c such that `f''(c) = 0`6x - 6 = 0=> 6x = 6=> x = 1Thus, `f''(1) = 6*1 - 6 = 0`
Now, finding the interval on which the given function is concave up and concave down;The intervals of concavity are given by where f''(x) is positive or negative:f''(x) > 0, x ε (-∞, 1)f''(x) < 0, x ε (1, ∞)
The inflection point of f is the point where the curve changes concavity. It occurs at x = 1.Hence, the required answer is f'(x) = 3x² - 6x - 9f''(x) = 6x - 6C = 1
Intervals of concavity: f''(x) > 0, x ε (-∞, 1)f''(x) < 0, x ε (1, ∞)Inflection point: (1, -6).
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slide if ya know skip if ya dont
Answer:
-1 is your answer
Step-by-step explanation:
help please will give brainliest
The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)
How to factor quadratic equations?Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.
Therefore, let's factor the equation 2x² + 25x + 50.
2x² + 25x + 50
The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.
Therefore,
2x² + 20x + 5x + 50
2x(x + 10)+ 5(x + 10)
Therefore,
(2x + 5)(x + 10)
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What is the slope of the line shown?
On a coordinate plane, a line goes through (0, negative 3) and (6, 0).
Answer:
1/2
Step-by-step explanation:
PLEASE help me I WILL MARK BRAINLIEST
Answer: The answer is B
Step-by-step explanation:
-(5n-1\right)\left(25n^2+5n+1)
u gotta flip it and the answer is B on your screen!!!
A line has a slope of 1 and includes the points (-9, w) and (5, 9). What is the value of w?
Can someone please help me I’m pretty sure I’m being timed on this.
Thank you!
Answer:
To find the value of w, you can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
In this case, (x1, y1) = (-9, w) and (x2, y2) = (5, 9). Plugging these values into the formula gives:
slope = (9 - w) / (5 - (-9))
Simplifying this expression gives:
slope = (9 - w) / 14
Since the slope is 1, we can set this expression equal to 1 and solve for w:
1 = (9 - w) / 14
14 = 9 - w
w = 9 - 14
w = -5
Therefore, the value of w is -5.
Solve the compound inequality and graph its solution:8r-3 ≥7r - 7 or 2r + 4≤ r-3
Answer:
Step-by-step explanation:
o solve the compound inequality, we'll start by solving each inequality separately, and then find the intersection of their solutions.
For the first inequality: 8r - 3 ≥ 7r - 7
Adding 7r to both sides: 8r - 3 + 7r ≥ 7r - 7 + 7r
Combining like terms: 15r - 3 ≥ 14r
Subtracting 14r from both sides: 15r - 14r - 3 ≥ 0
Combining like terms: r - 3 ≥ 0
Adding 3 to both sides: r ≥ 3
For the second inequality: 2r + 4 ≤ r - 3
Subtracting 2r from both sides: 2r + 4 - 2r ≤ r - 3 - 2r
Combining like terms: 4 ≤ -r - 3
Adding r and 3 to both sides: 4 + r + 3 ≤ -r
Combining like terms: 7 ≤ -r
Multiplying both sides by -1: r ≤ -7
The solution to the compound inequality is the intersection of the solutions to each inequality, which is the range of r that satisfies both conditions. So, the solution is 3 ≤ r ≤ -7.
To graph the solution, we can plot the two inequalities on the number line, and shade the region between 3 and -7:
Solve the equation in degrees for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures. 2 cos theta = 2 cos 2 theta What is the solution set? A. {0 degree + 360 degree n, 120 degree + 360 degree n, 240 degree + 360 degree n, where n is any integer} B. {0 degree, + 360 degree n, 150 degree + 360 degree n, 240 degree + 360 degree n, where n is any integer} C. {30 degree + 360 degree n, 120 degree + 360 degree n, 270 degree + 360 degree n, where n is any integer} D. {30 degree + 180 degree n, 150 degree + 180 degree n, 270 degree + 180 degree n, where n is any integer}
The solution set is,
\(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)
option A is the correct answer.
From the question, we have
2cos(θ)=2cos(2θ)
cos(2θ)-cos(θ)=0
2cos^2(θ)-cos(θ)-1=0
cos(θ)=(1±√(1+8))/(2×2)
cos(θ)=1, cos(θ)=-1/2
\(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)
The solution is,
\(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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