Answer:
X=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
how can you tell whether a graph is the graph of a function?
A graph is the graph of a function if no vertical line intersects the graph at more than one point. This is because a function is a set of ordered pairs (x, y), where each x-value is paired with a unique y-value. If a vertical line intersects the graph at more than one point, then there is more than one y-value for a given x-value, which violates the definition of a function.
To determine whether a graph is the graph of a function, you can use the vertical line test. The vertical line test is a simple test that involves drawing a vertical line through the graph. If the vertical line intersects the graph at more than one point, then the graph does not represent a function.
If, on the other hand, the vertical line intersects the graph at only one point at any given x-value, then the graph represents a function.
In other words, a graph is the graph of a function if no vertical line intersects the graph at more than one point. This is because a function is a set of ordered pairs (x, y), where each x-value is paired with a unique y-value. If a vertical line intersects the graph at more than one point, then there is more than one y-value for a given x-value, which violates the definition of a function.
It's important to note that a graph may only represent a function on a certain domain, and may not represent a function on a different domain. Additionally, some functions may be represented by more than one graph. However, using the vertical line test is a useful and reliable way to determine whether a given graph represents a function or not.
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What is the estimate value of 102.3 divided by 4.7
Answer:
20
Step-by-step explanation:
Answer:
The answer is 20
Step-by-step explanation:
To estimate, round. 102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.
what points are solutions to the linear equality graph? Select all that apply.
A. (0,0)
B. (-1,2)
C. (-3,0)
D. (3,0)
E. (-4,-1)
F. (2,2)
(c) Add: 1010112+110102
In a simple linear regression based on 30 observations, it is found that SSE- 2,540 and SST- 13,870 a. Calculate and se (Round your answers to 2 decimal places.) 5 b. Calculate the coefficient of determinationR. (Round your answer to 4 decimal places.) Coefficient of Determination
To calculate the standard error of estimate (SE), we can use the following formula:
SE = sqrt(SSE / (n-2))
where SSE is the sum of squared errors, and n is the number of observations.
Substituting the given values, we get:
SE = sqrt(2,540 / (30-2)) = 5.49
Therefore, the standard error of estimate is 5.49 (rounded to 2 decimal places).
b. The coefficient of determination (R-squared) is given by the ratio of the explained variation (SSR) to the total variation (SST):
R² = SSR / SST
where SSR is the sum of squared regression, and SST is the total sum of squares.
Since this is a simple linear regression, we have:
SST = SSR + SSE
where SSE is the sum of squared errors.
Substituting the given values, we get:
SST = 13,870
SSE = 2,540
Therefore, we can calculate SSR as:
SSR = SST - SSE = 13,870 - 2,540 = 11,330
Substituting these values into the formula for R-squared, we get:
R²= SSR / SST = 11,330 / 13,870 = 0.8188
Therefore, the coefficient of determination (R-squared) is 0.8188 (rounded to 4 decimal places). This means that 81.88% of the variation in the dependent variable (y) can be explained by the linear regression model with the independent variable (x).
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What is the equation of this line?
A: y=-2x
B: y = ½x
C: y = -½x
D: y = 2x
Answer:
D
Step-by-step explanation:
when x=1, y should = 2
2(1)=2
so y=2x is correct
Shantel is saving up to buy some new
shoes that cost $167) She has already
saved $62 and is able to save $15 per
week. Write an inequality to represent
the situation. Then solve to find out how
many weeks it will take to save up for the
shoes.
Answer:
5?
Step-by-step explanation:
just solve
5) A warehouse outside of a factory currently has an inventory of 1245 boxes. After an 8-
hour work day, the warehouse has 2000 boxes. Assume the warehouse was being filled at a
constant (linear) rate.
a) How many boxes per hour is the factory able to provide to the warehouse?
b) What would be the inventory at the end of a 40-hour work week?
c) How long will it take to fill the warehouse to its 50,000 box capacity?
6) In the year 2007, a FOREVER stamp cost cost $0.41. In 2023, the cost of a FOREVER
stamp was $0.63. Assume that the cost of stamps increased at a constant (linear) rate.
a) If price increases continue at the current rate, how much will a FOREVER stamp
cost in 2035?
b) In what year would you expect a FOREVER stamp to cost one dollar?
7) In January of 2021, there were 980,000 games available on the Apple App Store. By July
of 2021, there were 984,200 games available. If we assume that the number of available
games is steadily increasing at a constant (linear) rate,
a) How many games does this pattern predict will be available in January 2022?
b) At this rate, when will there be 1,000,000 games available for purchase in the Apple
App Store?
Thee factory is able to provide 94.38 boxes per hour to the warehouse.
How to calculate the valueRate = (2000 - 1245) / 8 = 94.38 boxes per hour
Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.
Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2
Therefore, the inventory at the end of a 40-hour work week would be:
1245 + 3775.2 = 5020.2 boxes
rate = (50000 - 1245) / time
Simplifying this equation, we get:
time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).
Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,
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The point P(6,3) bes on the curve y
(a) If Q is the point (x,
(1) 7.9
0155152
(4) 7.09
Mo338949
X
(H)7.999
M1428775539
(N) 7.9990
-0142959
(V) ST
142857
x
(vi) 8.03
0142663
M2837
(WM) 8.0001
X
00 Using the rest of part (x), the value of the spe of the tangent le to the curve at ~3
The slope of the tangent line to the curve at P(6,3) is -0.2.
To find the slope of the tangent line, we need to find the derivative of the equation of the curve, then substitute the value of x=6 to find the slope of the tangent line at point P.
The equation of the curve is y = (x^2)/5 - 2x + 4. To find the derivative of this equation, we take the derivative of each term using the power rule and the constant multiple rule:
dy/dx = (2/5)x - 2
Substituting x = 6 into the derivative gives:
dy/dx = (2/5)(6) - 2 = -0.2
Therefore, the slope of the tangent line to the curve at point P is -0.2.
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i need help finding z and y pls
Answer: i believe Z=115 and Y=30
Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.
Number of sodas sold:
Number of hot dogs sold:
35
Check
✓ 36
At a basketball game, a vender sold a combined total of 135 sodas and hot dogs. The number of hot dogs sold was 31 less than the number of sodas sold. Find
the number of sodas sold and the number of hot dogs sold.
0
✓ 37
✓38
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The number of sodas sold is 83 and the number of hot dogs sold is 52.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's call the number of sodas sold "x".
According to the problem, the number of hot dogs sold is 31 less than the number of sodas sold, so we can write the number of hot dogs sold as "x - 31".
We also know that the combined total of sodas and hot dogs sold is 135, so we can write an equation:
x + (x - 31) = 135
Simplifying this equation:
2x - 31 = 135
Adding 31 to both sides:
2x = 166
Dividing both sides by 2:
x = 83
So the number of sodas sold is 83.
To find the number of hot dogs sold, we can use the equation we came up with earlier:
x - 31 = 83 - 31 = 52
So the number of hot dogs sold is 52.
Therefore, the number of sodas sold is 83 and the number of hot dogs sold is 52.
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2. A water tank is in the shape of a right circular cylinder with a height of 9
feet and a volume of 225 pi cubic feet. What is the diameter of the water
tank? *
Answer:
10 ft.
Step-by-step explanation:
V = Bh where B = area of the base, which is a circle in your problem.
So, B = \(\pi r^{2}\)
225π = π\(r^{2}\)(9)
\(r^{2}\) = 25
r = 5 ft
diameter = 2r = 10 ft.
the population of town increases by5℅ every year. In the last year, the population was 80,000. 1) find the present population 2) find the population of the town in the next two years.
explain step by step please
Answer:
last year it was 80k
Step-by-step explanation:
Population increases by 5% every year
Last year it was 80,000
PRESENT POPULATION
Present population = 80,000 + 5% off 80,000
= 80,000 + 5/100 × 80,000
= 80,000 + 5 × 800
= 80,000 + 4,000
= 84,000
AFTER ONE YEAR
After this , the population again increases by 5%
Population = 84,000 + 5% off 84,000
= 84,000 + 5/100 × 84,000
= 84,000 + 5 × 840
= 84,000 + 4,200
= 88,200
ANSWERS
The population of present year is 84,000
After one year , the population becomes 88,200
Hope it helps :-)
Answer:
1. The Present population is 84,000
2. The next years population 88,200 and the year after that would be 92,610
Step-by-step explanation:
If you take the previous year and multiply it by 1.05 you you get the current population. After that you take the current population and multiply it again by 1.05 since the population increases by 5% so continue multiplying by 1.05 to get the later years and so forth
Which situation ONLY describes the use of a credit card.
A) Ally loves her card because it is convenient to use.
B) Chelsea lost her card so she reported it lost immediately
C) Henry likes his card because he doesn't have to carry cash
D) Brandi uses her card when she has not saved enough for a purchase.
The situation that ONLY describes the use of a credit card is option D - Brandi uses her card when she has not saved enough for a purchase. This is because using a credit card essentially means borrowing money from the bank or credit card company to make a purchase and paying it back with interest later. In this situation, Brandi is using her credit card as a means to make a purchase that she cannot afford to pay for outright with her savings.
Option A - Ally loves her card because it is convenient to use - is not specific to credit cards as other payment methods can also be convenient. Option B - Chelsea lost her card so she reported it lost immediately - is not a situation that involves using a credit card but rather a situation that involves reporting a lost or stolen card. Option C - Henry likes his card because he doesn't have to carry cash - while it does describe a situation involving a credit card, it is not exclusive to credit cards as other forms of payment such as debit cards and mobile payments also eliminate the need for cash.
In conclusion, the situation that ONLY describes the use of a credit card is option D - Brandi uses her card when she has not saved enough for a purchase - as it involves using credit as a means of making a purchase that would not be possible otherwise.
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"A sample of families were asked how many pets they owned. Their
response are summarized in the following table.
Number of Pets
0
1
2
3
4
5
Number of Families
2
1
8
1
9
0
Determine the"
The mode is the value that appears most frequently in a dataset. In this case, the mode is 4, as it has the highest frequency of occurrence.
The median is the middle value when the data is arranged in ascending or descending order. Since there are an odd number of families (21 in total), the median will be the value of the 11th observation when the data is sorted. Arranging the data in ascending order, we find that the median is also 4, as it is the middle value.
The mean is the average value and is calculated by summing up all the values and dividing by the total number of observations. In this case, we can calculate the mean by multiplying each number of pets by its corresponding frequency, summing up these products, and dividing by the total number of families (21). Using this approach, the mean can be calculated as:
Mean = (0*2 + 1*1 + 2*8 + 3*1 + 4*9 + 5*0) / 21 ≈ 2.76
Therefore, based on the provided data, the mode, median, and mean number of pets owned by the families are all approximately 4.
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Y=5x
A proportional relationship
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
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You’ve decided you want to plant for your room. At gardening store, there 4 different kinds of plants (tulip fern cactus, and ficus) and 4 kinds of pots to hold the plants ( clay pot , plastic pot, metal pot, and wood pot).
Answer:
9/16
Step-by-step explanation:
i got it right on khan academy
Answer:
1/16
Step-by-step explanation:
Got It on Khan academy
Fill in the missing number. % of 96 = 24 Submit
Answer:
\(25\)% of 96 = 24
Step-by-step explanation:
?% of 96 = 24
\(\frac{x}{100} =\frac{24}{96}\)
\(x =\frac{24*100}{96}\)
\(x = 25\)%
which of the following expression is NOT equivalent to -17 -(-5)?
A: 5+(-17)
B: -17-5
C:-17+5
D:-12
Answer:
The answer is B.
Reasoning:
-17 - (-5) = -12A. 5 + (-17) = -12✔
B. -17 - 5 = -22 ✖
C. -17 + 5 = -12 ✔
D. -12 ✔
Answer:
B: -17+5
Step- by- step explanation
solve the initial value problem below using the method of laplace transforms. y′′−2y′−3y=0, y(0)=1, y′(0) = 2
To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.
First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.
Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).
To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.
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Find an equation for the line tangent to the graph of the given function at the indicated point. 8 3) f(x): () = at at (4,2) X 1 4) f(x)=x2-x at (4, 12)
(a) tangent line to the graph of f(x) = x^3 at the point (4,2).
(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).
(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.
(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.
In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.
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PLEASE HELP ME
Ava has more than 15 coins in her collection
Answer:
c
Step-by-step explanation:
if she has more than 15 coins in her collection then it should be x > 15 (: hopefully this is right if not let me know!!
regression analysis involving one dependent variable and more than one independent variable is known as
Multiple Regression is the regression analysis involving one dependent variable and more than one independent variable.
A regression is a technique that relates a dependent variable [response] to one or more independent (explanatory) variables.
The linear regression equation is in the form, y = mx + b ., where X is an Independent variable and Y is a Dependent variable.
Multiple regression is a technique that can be used to analyze the relationship between a single dependent variable and several independent variables.
The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.
Y = a + b₁X₁+ b₂X₂ + .........+ bₙXₙ
Hence, Multiple Regression analysis involving one dependent variable and more than one independent variable.
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\(25 \div 2 \)
How to solve this?
Answer:
25÷2=12.5
Step-by-step explanation:
you put the 25 inn the division box and the 2 on the outside and 12.5 is your answer
Answer: 12.5
How do you solve the given equation?\(\frac{25}{2} =12.5\)
\(\frac{5^{2}}{2} = 12 \frac{1}{2} = 12.5\)
Please help me ASAP! Thank you! 15 points
Simon and his friends have 27 pieces of candy. They split them up evenly and each person get 9 pieces. How many people are there? Select the correct equation and solve for p.
A. 27 = 9p; p = 3
B. 9 + p = 27; p = 18
C. p/27 = 9; p = 3
D. 9 = 27 - p; p = 18
Answer:
\( \sf \: a) \: 27 = 9p \: ; p = 3\)
Step-by-step explanation:
Given information,
→ Simon have 27 pieces of candy.
→ Each person will get 9 pieces.
Now we have to,
→ Find the required equation.
The equation will be,
→ 27 = 9p
→ 9p = 27
=> As each person (p) gets 9 pieces.
Then the value of p will be,
→ 9p = 27
→ p = 27 ÷ 9
→ [ p = 3 ]
Hence, option (a) is correct.
I need help with this I’ve been trying to figure it out for a bit
Answer:
x is 3. 3 should be the answer.
Dave is considering two loans. Loan U has a nominal interest rate of 9. 97%, and Loan V has a nominal interest rate of 10. 16%. If Loan U is compounded daily and Loan V is compounded quarterly, which loan will have the lower effective interest rate, and how much lower will it be? a. Loan V’s effective rate will be 0. 3324 percentage points lower than Loan U’s. B. Loan V’s effective rate will be 0. 1187 percentage points lower than Loan U’s. C. Loan U’s effective rate will be 0. 5124 percentage points lower than Loan V’s. D. Loan U’s effective rate will be 0. 0713 percentage points lower than Loan V’s.
Loan U will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V and it can be determined by using the rate of interest formula.
Given that,
Dave is considering two loans.
Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%.
If Loan U is compounded daily and Loan V is compounded quarterly.
We have to determine,
Which loan will have the lower effective interest rate, and how much lower will it be?
According to the question,
Effective Interest Rate;The effective interest rate is determined by the formula;
\(= \left(1+\dfrac{r}{t} \right )^t\)
Loan U has a nominal interest rate of 9.97%,
Loan U is compounded daily,
Then,
The effective annual multiplier for loan U is,
\(= \left(1+\dfrac{0.997}{365}\right)^{365}\\\\= (1+0.0027)^{365}\\\\= (1.0027)^{365}\\\\= 1.104824\)
And Loan V has a nominal interest rate of 10.16%,
and Loan V is compounded quarterly.
Then,
\(= \left(1+\dfrac{0.1016}{4}\right)^{4}\\\\= (1+0.0254)^{365}\\\\= (1.0254)^{365}\\\\= 1.105537\)
Therefore,
Loan V has a higher effective rate by,
\(=1.105537 -1.104824 \\\\= 0.000713 \\\\= 0.0713%\)
Hence, Loan U will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V.
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Solve for x...............
Answer:
x=26
Step-by-step explanation:
let take the 3rd angle of the triangle y
2x + 76 + y = 180 ( angle sum property)
y = 180 ‐ 76 ‐ 2x
y = 104 ‐ 2x
5x ‐ 2 + y = 180 ( linear pair)
5x‐2+104‐2x = 180 ( y = 104 ‐ 2x)
3x+102=180
3x=180‐102
x=78/3
x=26
hope this ans will help u
FIND THE ERROR Iku and Zachary are finding the number of real zeros of the function graphed at the right. Iku says that the function has no real zeros because there are no x-intercepts. Zachary says that the function has one real zero because the graph has a y-intercept. Is either of them correct? Explain your reasoning.
Iku is correct, because the function has no real zeros because there are no x-intercepts.
We have to given that;
Iku and Zachary are finding the number of real zeros of the function graphed at the right.
Here, By graph we see that;
The graph is not cut at x - axis.
Hence, There is no real solution.
So, Iku is correct, because the function has no real zeros because there are no x-intercepts.
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In a game, two players each spins the spinners and add the two numbers. Player A wins with a sum of 6 ormore. Otherwise player B wins. Determine whether the game is fair.
The game is not fair. That's because it is not possible to get a sum of 6 with two numbers of the spinner since these are 1, 2 or 3, so player A could get a sum or 3,4, or 5, but not 6.
Thus, the game is not fair and Player B would always win.