Answer:
\( \frac{5}{6} \: - \frac{5}{6} \)
Step-by-step explanation:
\( \sqrt{ \frac{25}{36} } = \frac{ \sqrt{25} }{ \sqrt{36} } = \frac{5}{6} \)
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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The depth of a lake is 15.8 meters. By how many meters does the measured depth differ from the actual depth?
Answer:
Sorry Bro I can't understand
The notation (x,y)→(−x,y) means a reflection across the y axis.
Answer:
This is true.
Step-by-step explanation:
To prove this as true what we can do is draw a graph. On one of the graphs, we will have a point at (-7,1). If we were going to reflect it over the y-axis by counting the distance it is from the y-axis and counting it in the other direction. When we do this we get a point of (7,1). We can infer that because it was flipped in the y-axis the y value stayed the same while the x-axis changed.
This is how we can prove this to be true.
Tom is 4 inches taller than Sally together their heights equal 124 inches
a.create an equation to represent the situation.
b.Solve your equation
c. How tall is Sally?
d. How tall is Tom?
Answer:
Tom's height = x = 64 inches
Sally's height = y = 60 inches
Step-by-step explanation:
Let us represent
Tom's height = x
Sally's height = y
Tom is 4 inches taller than Sally
x = y + 4
Together their heights equal 124 inches
x + y = 124
We substitute y + 4 for x
y + 4 + y = 124
2y + 4 = 124
Collect like terms
2y = 124 - 4
2y = 120
y = 120/2
y = 60
Solving for x
x = y + 4
x = 60 + 4
x = 64
Therefore,
Tom's height = x = 64 inches
Sally's height = y = 60 inches
$8,000 is invested in an account earning 7.9% interest (APR), compounded continuously. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
The continuous compounding equation shown the value of the account after t years is given as follows:
\(A(t) = 8000e^{0.079t}\)
The percentage of growth per year (APY) is of 8.22%.
Continuous compounding
The balance of an account after t years of continuous compounding is given by the equation presented as follows:
\(A(t) = A(0)e^{kt}\)
In which the variables of the equation are described as follows:
A(0) is the initial balance of the account, the initial amount invested.k is the exponential interest rate earned by the account in each compounding period.In the context of this problem, the values of these parameters are given as follows:
A(0) = 8000, k = 0.079.
Hence the equation is:
\(A(t) = 8000e^{0.079t}\)
The percentage of growth per year (APY) is calculated as follows:
\(e^{k} - 1 = e^{0.079} - 1 = 1.0822 - 1 = 0.0822 = 8.22\%\)
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anova df ss ms f regression 1 12,323.60 12,323.60 90.0481 residual 8 1,154.802 136.8550 total 9 13,478.4 what is the correlation coefficient?
The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).
The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.
To calculate the correlation coefficient, we can use the formula:
r = sqrt(SSR/SST)
From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:
r = sqrt(12,323.64/13,538.4) = 0.9541
Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable
Complete Question:
Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541
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i put 100 points on this pls help
Answer:
19. <ABF is complementary to <ABD
20. 47+ABF=90
ABF=43
Step-by-step explanation:
Answer:
19. <ABF is complementary to <ABD
20. 47+ABF=90
ABF=43
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
12
22
Answer:
sadly, there is no indicated angle. you have to attach a photo/screenshot of your problem for anyone to help. There is limited information given from your question.
Step-by-step explanation:
Given a = 2, b = 3 and c = 5 c ÷ (b - a)
Answer:
You can solve this problem using substitution.
c = 5c ÷ (b-a)
c = 5c ÷ (3-2)
c = 5c ÷ (1)
c = 5c
c = 0
There is no way that 5 of something can equal 1 of something.
If f(x)=x^5+, 5 then what is the remainder when f(x) is divided by x+2
Step-by-step explanation:
f(x)= Quotient × (x+2) + remainder
From this equation we obtain remainder by putting x=2 ( can you see why?)
Hence remainder is f(2)
please help ASAP!!
Which of the following polynomial functions is graphed below?
A. f(x)=(x+5)(x+1)^2(x-1)
B. f(x)=(x-5)(x-1)^2(x-1)
C. f(x)=(x+2)^2(x-3)(x+1)
D. f(x)=(x-2)^2(x+3)(x-1)
Considering the graph shown, the polynomial represented is
A. f(x) = (x + 5) (x + 1)² (x - 1)How to determine the equation graphedThe x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.
Tracing the graph, the zeros or the x intercepts on the graph it can be traced to be:
x = -5x = -1x = 1solving the zeros
x = -5, x + 5 = 0
x = -1, x + 1 = 0
x = 1, x - 1 = 0
equating together
(x + 5)(x + 1)(x - 1) - these values are only present in option A. The effect in x = -1 will result to (x + 1)²
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The subject of the formula is y.
y = 4x + 3
Rearrange the formula to make x the subject
Answer:
\(x = \frac{y - 3}{4}\)Step-by-step explanation:
y = 4x + 3
To make x the subject send 3 to the other side of the equation
That's
4x = y - 3
Divide both sides by 4 to make x stand alone
\( \frac{4x}{4} = \frac{y - 3}{4} \)
We have the final answer as
\(x = \frac{y - 3}{4}\)
Hope this helps you
in a class of 23 students, 7 have brothers and 5 have sisters. There are 2 students who have a brother and a sister. what is the probability that a student who has a brother also has a sister?
The probability that a student who has a brother also has a sister is 2/7 or approximately 0.2857.
To find the probability that a student who has a brother also has a sister, we need to use the concept of conditional probability.
Let's first find the probability of a student having both a brother and a sister. According to the problem, there are 2 students who have both a brother and a sister. Therefore, the probability of a student having both a brother and a sister is:
P(Brother and Sister) = 2/23
Now, let's find the probability of a student having a brother:
P(Brother) = 7/23
Using the formula for conditional probability, we can find the probability that a student who has a brother also has a sister:
P(Sister|Brother) = P(Brother and Sister) / P(Brother)
Substituting the values we found, we get:
P(Sister|Brother) = (2/23) / (7/23) = 2/7
This means that if we randomly select a student who has a brother, the probability that they also have a sister is about 0.2857.
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how to find the maximum height of a quadratic equation
the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.
To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.
A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.
The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.
Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.
The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.
Here's an example:
Consider the quadratic equation y = 2x² - 4x + 3.
1. Identify the coefficients:
a = 2
b = -4
c = 3
2. Find the x-coordinate of the vertex:
x = -(-4) / (2 * 2) = 4 / 4 = 1
3. Substitute x = 1 back into the equation to find the y-coordinate:
y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1
Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.
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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.
To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.
The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).
Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.
Let's take an example to illustrate this process:
Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.
Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.
Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.
Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.
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Estimate the perimeter and area of the shaded figure to the nearest tenth.
Need for all, please help!!
The perimeter is 24.56 units and the area is 41.12 square units.
What is perimeter?
Each two-dimensional closed shape's perimeter is defined as the whole distance encircling it. A polygon's perimeter is equal to the sum of its sides.
The given figure is a combination of a semicircle and rectangle.
We are given the diameter as 8 units.
So, the radius is 4 units.
The length of the rectangle is 8 units and breadth is 2 units.
Now,
⇒Perimeter of semi circle = πr
⇒Perimeter of semi circle = 3.14 * 4
⇒Perimeter of semi circle = 12.56 units
Similarly,
⇒Perimeter of rectangle = l + 2b
⇒Perimeter of rectangle = 8 + 4
⇒Perimeter of rectangle = 12 units
So,
⇒Perimeter of shaded figure = 12.56 + 12
⇒Perimeter of shaded figure = 24.56 units
Now,
⇒Area of semi circle = π\(\frac{r^{2}}{2}\)
⇒Area of semi circle = 3.14 * \(\frac{4^{2}}{2}\)
⇒Area of semi circle = 3.14 * 8
⇒Area of semi circle = 25.12 square units
Similarly,
⇒Area of rectangle = lb
⇒Area of rectangle = 8 * 2
⇒Area of rectangle = 16 square units
So,
⇒Area of shaded figure = 25.12 + 16
⇒Area of shaded figure = 41.12 square units
Hence, the perimeter is 24.56 units and the area is 41.12 square units.
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The complete question has been attached below
HELP ME PLASED ADORE U GUYS <33
I think it’s 32
Step-by-step explanation:
Fill in the blanks
With the options below
Answer:
The value of x = 33 units (Approx.)
Step-by-step explanation:
Given triangle is a right angle triangle;
So,
Base of triangle = 18 unit
Angle with base = 57°
Find:
The value of x
Computation:
Using trigonometry function;
Cosθ = Base of triangle / Hypotenuse triangle
Cos57 = 18 / x
0.544 = 18 / x
The value of x = 18 / 0.544
The value of x = 33.088
The value of x = 33 units (Approx.)
Please help! BRAINLIEST to correct answer!!
Answer:
2sqrt(14)*i
Step-by-step explanation:
(sqrt(-56))
since theres a negative in it we know there will be an i in the answer.
We need to find two numbers that multiple to 56 with at least one of them being a perfect sqaure
7*8 doesn't work
4*14 = 56
ok sqrt(4) = 2
can't take the sqaure of (14)
so we are left with
2sqrt(14)*i <---remember from before?
Explain why that assumption is reasonable. A. The results are known beforehand. B. The people were selected at random. C. The same poll is given to each respondent. D. Each option has at least one response.
The correct option is option C, "The same poll is given to each respondent," is the most reasonable assumption among the given options.
The assumption that "The same poll is given to each respondent" is reasonable because it ensures consistency and fairness in the data collection process.
By using the same poll for each respondent, we can minimize potential biases that may arise from variations in the questions or survey instruments. This allows for more accurate and comparable results across different respondents.
It helps maintain the integrity of the survey methodology and ensures that all respondents are given equal opportunities to provide their responses. Therefore, option C, "The same poll is given to each respondent," is the most reasonable assumption among the given options.
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There are y learners in class 9T. Mrs. Leclerc shares 85 pencils between the learners in class 9T. Each learner gets 5 pencils. Write an equation to represent this situation
Equation: y * 5 = 85
In this equation, 'y' represents the number of learners in class 9T, and '5' represents the number of pencils each learner receives. The equation states that the product of the number of learners (y) and the number of pencils each learner receives (5) is equal to the total number of pencils (85) that Mrs. Leclerc shares among the learners.
This equation can be used to solve for the value of 'y' by dividing both sides of the equation by 5. By doing so, we can determine the number of learners in class 9T based on the given information about the number of pencils shared.
For example, if we divide 85 by 5, the result is 17. Therefore, there are 17 learners in class 9T.
In summary, the equation y * 5 = 85 represents the situation where Mrs. Leclerc shares 85 pencils between the learners in class 9T, with each learner receiving 5 pencils. By solving the equation, we can find the number of learners in the class, which in this case is 17.
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the classical decision-making model assumes that managers have all of the information they need in order to make the optimum decision. true or false
The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.
The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.
The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.
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Movies went on sale for $4 off the original price . Jacob bought 3 movies . He paid $24 . What was the original price of a movie?
Complete the sentences to show how to write and solve an equation to answer this question
Define a variable. Let x=_______
The equation that models the problem is ______
To solve the equation first _____ next _________.
The original price of the movie was $12.
What is the other statement?Define a variable: Let x be the original price of a movie.
The equation that models the problem is: 3(x - 4) = 24
where 3(x - 4) represents the total cost of the three movies after the discount.To solve the equation, first distribute the 3 to get:
3x - 12 = 24
Next, add 12 to both sides:
3x = 36
Finally, divide both sides by 3:
x = 12
Therefore, the original price of a movie was $12.
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Celine's Cupcakes recorded how many cupcakes it recently sold in each flavor. carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6 Considering this data, how many of the next 20 cupcakes sold would you expect to be lemon cupcakes?
Number of lemon cupcakes in next 20 cupcakes sold is 1.33.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6
Now,
For 20 cupcakes
Let the number of lemon cupcakes be x
8+6+1=1lemon
15=1lemon
20=1*20/15lemon
=4/3lemon
Therefore, by algebra the answer will be 1.33lemons
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If the mpc increases in value, what will happen to the slope of the consumption function?
If the mpc increases in value, the consumption function will become steeper.
What is MPC ?
MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.
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which graph represents the function y=(x+3)^2+1?
5. Research about the maximum degrees of separation that has been hypothesized between any two people around the world. Discuss in your own words how graph theory concepts are involved in this researc
Research on the maximum degrees of separation between any two people around the world involves applying concepts from graph theory. Graph theory provides a mathematical framework for representing social networks, where individuals are nodes and connections between them are edges.
The concept of degrees of separation refers to the number of connections needed to link two individuals. By studying the structure and properties of the global social network using graph theory techniques, researchers aim to determine the maximum degrees of separation.
Graph theory is a branch of mathematics that deals with the study of graphs, which are mathematical structures used to represent relationships between objects. In the context of social networks, individuals are represented as nodes, and their connections or relationships are represented as edges in the graph.
The research on maximum degrees of separation between any two people around the world involves analyzing the global social network using graph theory concepts. To understand the degrees of separation, researchers need to investigate the connectivity and structure of the network. They employ various techniques such as data analysis, network modeling, and algorithms to analyze large-scale social networks.
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It is impossible to get 10 kings when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is
On solving the provided question, we can say that it has 0% prοbability, making the answer zerο (0).
What is probability?Probability theοry, a subfield of mathematics, gauges the likelihοod of an occurrence or a claim being true. An event's prοbability is a number between 0 and 1, where apprοximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A prοbability is a numerical representation of the likelihood or likelihoοd that a particular event will occur.
In a deck of cards we have 4 kings. οne in each suit.
Tοtal number of cards in a pack 52.
There is οnly 4 king in a deck of cards, 10 kings are nοt possible.
This is impοssible event. Hence it has a probability zero(0).
The prοbability is 0.
Cοnsequently, it has 0% prοbability, making the answer zero (0).
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Complete question:
I have 27 apples to make a fruit salad for picnics I divide the apples equally among three bowls then I cut each apple into 8 pieces how many pieces are in each Bowl?
Answer:
72
Step-by-step explanation:
you start with 27
27 divided by three is 9
9 apples cut into 8 pieces each would be
72
how to find angle DCE in the triangle
Answer:
36
Step-by-step explanation:
9x-31+7x-2+4x+33=360
x=18
7(18)-2
124
180-124=36
Evaluate the expression below for m = 350.
3.5m
Answer: 1225
Step-by-step explanation:
Just plug in 350 for 'm':
3.5m
3.5m (350)
^^^^^^^^^^
times these two together, to get your final answer!
Multiply:
1225