Answers
Answer:
-x⁵ +3x² +3x +C
Step-by-step explanation:
You want the indefinite integral of (-5x⁴ +6x +3).
Power ruleThe power rule for integration is the reverse of the power rule for derivatives.
[tex]\begin{array}{ll}\text{Derivative:}&\dfrac{d(x^n)}{dx}=n\cdot x^{n-1}\\\\\text{Integral:}&\displaystyle\int {x^n}\,dx=\dfrac{x^{n+1}}{n+1}\end{array}[/tex]
ApplicationAn indefinite integral represents a family of functions, each with the same derivative. In general, they may differ by a constant. That constant is necessary to signify the functions that will have the given expression as their derivative.
[tex]\displaystyle\int {(-5x^4+6x+3)}\,dx=-5\dfrac{x^{4+1}}{4+1}+6\dfrac{x^{1+1}}{1+1}+3\dfrac{x^{0+1}}{0+1}=\boxed{-x^5+3x^2+3x+C}[/tex]
Related Questions
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
Answers
Answer:
A circle graph would be appropriate here.
Using the Standard Normal Table, what proportion of observations on the Standard Normal Curve lie between z = -1.8 and z = 0.67?
Answers
To find the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67, we need to find the area under the curve between these two values.
Using the Standard Normal Table, we can find the area to the left of z = -1.8 and z = 0.67, and then subtract the former from the latter to get the area between them.
The area to the left of z = -1.8 is 0.0359, and the area to the left of z = 0.67 is 0.7486.
Therefore, the area between z = -1.8 and z = 0.67 is:
0.7486 - 0.0359 = 0.7127
So the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67 is approximately 0.7127, or 71.27%.
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Miriam was testing � 0 : � = 18 H 0 :μ=18H, start subscript, 0, end subscript, colon, mu, equals, 18 versus � a : � < 18 H a :μ<18H, start subscript, start text, a, end text, end subscript, colon, mu, is less than, 18 with a sample of 7 77 observations. Her test statistic was � = − 1.9 t=−1.9t, equals, minus, 1, point, 9. Assume that the conditions for inference were met.
Answers
The requreid Miriam's test does not provide significant evidence that the true population mean is less than 18.
Since the sample size is small (n = 7) and the population standard deviation is unknown, we should use a t-test for this hypothesis test.
The test statistic is calculated as follows:
t = (x - μ) / (s / √n)
Given that Miriam's test statistic is t = -1.9, we can estimate the p-value associated with this test statistic. This denotes the probability of observing a test statistic as extreme as -1.9 or more extreme, assuming the null hypothesis is true.
Using a t-distribution table with 6 degrees of freedom (n-1), we find that the p-value for a one-tailed test at the 5% significance level is approximately 0.051.
Since the p-value (0.051) is greater than the significance level (0.05), we fail to reject the null hypothesis. We do not have sufficient evidence to conclude that the population mean is less than 18 at a 5% level of significance.
Thus, Miriam's test does not provide significant evidence that the true population mean is less than 18.
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PLEASE ANSWER QUICK!!! 20 POINTS!!!!1
Suppose the length of voicemails (in
seconds) is normally distributed with a mean
of 40 seconds and standard deviation of 10
seconds. Find the probability that a given
voicemail is between 20 and 50 seconds.
10
20
30
40
P = [?]%
Hint: use the 68 - 95 - 99.7 rule.
50 60
70
Enter
Answers
Using the 68-95-99.7 rule, we know that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, we want to find the probability that a voicemail falls within one standard deviation below the mean and one standard deviation above the mean, which corresponds to the interval (30,50).
To find this probability, we can use a standard normal distribution table, or we can convert the values to z-scores and use the standard normal distribution formula.
Using the formula, we have:
z1 = (20 - 40) / 10 = -2
z2 = (50 - 40) / 10 = 1
Now we look up the probability of a standard normal distribution between -2 and 1, which is approximately 0.818.
Therefore, the probability that a given voicemail is between 20 and 50 seconds is 81.8%.
P = 81.8%.
Answer:
P=9600000000
Step-by-step explanation:
1 point is =0.150119
40x10=400x20=8000x50x400000x10=400000x20=800000x30=240000000x40=9600000000
What is the amplitude of the function?
Answers
We can see here that the amplitude of the function is: A. 3.
What is amplitude of a function?The amplitude of a function is the measure of its maximum deviation from its central value. In simpler terms, it is the height of a wave or the distance from the center line to the peak or trough of a function.
For example, in a sine wave, the amplitude is the distance from the center line (or zero) to the highest point of the wave. In mathematical terms, if f(x) is a periodic function with period T, then the amplitude A of f(x) is given by:
A = (f(x)_max - f(x)_min)/2
where f(x)_max and f(x)_min are the maximum and minimum values of f(x) over one period.
Max = 4
Min = -2
A = [4 - (-2)]/2 = 6/2 = 3
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Explain how you would find the highest point the rider achieved on this jump.
A. What would be the two quantities you would measure for x and y?
B. What would your equation possibly look like? Put the picture on a grid and show some possible points
C. What points could you use to find the maximum height? How would you use those points? Be specific
Answers
The maximum height achieved by the rider is given by the equation above. You can calculate this value using the given measurements and plug them into the equation to find the maximum height.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.
A. The two quantities you would measure for x and y are the time and height, respectively.
B. The equation that relates time and height for an object in projectile motion is given by:
y = y0 + v0y * t - (1/2) * g * t²
where:
y = vertical height at any time t
y0 = initial vertical height (in this case, the height of the ramp)
v0y = initial vertical velocity (in this case, the vertical velocity of the rider at the top of the ramp)
g = acceleration due to gravity (approx. 9.81 m/s²)
t = time elapsed since the rider left the ramp
To apply this equation to the given image, you can put the picture on a grid with the x-axis representing time and the y-axis representing height.
C. To find the maximum height, you need to determine the point at which the rider's height is greatest. From the plotted points, you can see that the maximum height occurs at the point where the curve reaches its apex. You can find this point by calculating the time at which the vertical velocity of the rider becomes zero (i.e., the highest point of the jump). This occurs at the peak of the curve, where the vertical velocity changes from positive to negative. To calculate this time, you can use the equation for vertical velocity in projectile motion:
v = v0y - g * t
where:
v = vertical velocity at any time t
v0y = initial vertical velocity (in this case, the vertical velocity of the rider at the top of the ramp)
g = acceleration due to gravity (approx. 9.81 m/s²)
t = time elapsed since the rider left the ramp
At the peak of the jump, the vertical velocity becomes zero, so we can set v = 0 and solve for t:
0 = v0y - g * t
t = v0y / g
Substituting this value of t into the equation for height, we can find the maximum height:
y = y0 + v0y * (v0y / g) - (1/2) * g * (v0y / g)²
y = y0 + (v0y² / 2g)
Therefore, the maximum height achieved by the rider is given by the equation above. You can calculate this value using the given measurements and plug them into the equation to find the maximum height.
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Once we have found the vertex, we can determine the maximum height achieved by the rider.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.
To find the highest point the rider achieved on a jump, we need to measure the rider's height at different points during the jump.
A. The two quantities we would measure for x and y would be:
x: the horizontal distance the rider travels during the jump
y: the vertical height of the rider at different points during the jump
B. The equation that describes the rider's motion during the jump would be a quadratic equation in the form of:
y = ax² + bx + c
Where:
a is the coefficient of the quadratic term and represents the acceleration due to gravity
b is the coefficient of the linear term and represents the initial velocity of the rider
c is the constant term and represents the initial height of the rider
C. To find the maximum height, we need to find the vertex of the parabola that represents the rider's motion.
The vertex is the highest point on the parabola and is located at the point (-b/2a, c - b²/4a).
To find the vertex, we need to measure the rider's height at least two different points during the jump.
The two points should be on either side of the vertex to ensure that we have captured the shape of the parabola correctly.
hence, Once we have measured the rider's height at these two points, we can plug the values into the equation and solve for the vertex. Once we have found the vertex, we can determine the maximum height achieved by the rider.
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Write a linear equation given the two points: (-3, -9) and (4, -2)
Answers
y = mx + b
where m is the slope of the line, and b is the y-intercept.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line.
Using the given points (-3, -9) and (4, -2), we can calculate the slope:
m = (-2 - (-9)) / (4 - (-3)) = 7/7 = 1
Now that we have the slope, we can use one of the given points to find the y-intercept. Let's use the point (-3, -9):
y = mx + b
-9 = 1*(-3) + b
-9 = -3 + b
b = -6
Therefore, the equation of the line that passes through the points (-3, -9) and (4, -2) is:
y = x - 6
The question is: Emily sold 56 of the 145 bracelets. What percent of the bracelets did she sell? Show your strategy.
Answers
Answer:
[tex]percentage = \frac{56}{145} \times 100[/tex]
56/145×100
0.386...×100
38.6%
A zoologist selected 12 black bears in a Canadian habitat at random to examine the relationship between the age in years, x, and the weight in tens of pounds, y. The 95 percent confidence interval for estimating the population slope of the linear regression line predicting weight in tens of pounds based on the age in years given by 1.272+/-0.570. Assume that the conditions for inference for the slope of the regression equation are met. Which of the following is the correct interpretation of the interval?
Answers
It can be concluded that we are 95 percent confident that the mean increase in the weight of a black bear for each one year increase in the age of the bear is between 7.0 and 18.4 pounds.
What is mean?
In statistics, the mean is one of the measures of central tendency which is nothing but simple average, apart from the mode and median. Mean is the average of the given set of values. Mean denotes the equal distribution of values for a given set of data.
A zoologist selected 12 black bears in a Canadian habitat at random to examine the relationship between the age in years, x, and the weight in tens of pounds, y. The 95 percent confidence interval for estimating the population slope of the linear regression line predicting weight in tens of pounds based on the age in years given by 1.272 ±0.570.
From the given data it is clear that the 95 confidence interval given by 1.272±0.570, or (0.702,1.842)
[ 1.272-0.570 = 0.702 and 1.272+0.570= 1.842]
It estimates the relationship between weight in tens of pounds and age in years. So the given data makes us 95 percent confident that the mean increase in the weight of a black bear must be in between 7.02 and 18.42 pounds and it is for each one-year increase in the age of the bear.
Hence, it can be concluded that we are 95 percent confident that the mean increase in the weight of a black bear for each one year increase in the age of the bear is between 7.0 and 18.4 pounds.
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Which graph represents the function f(x)=|x-6|+1
Answers
Will be
$1,328 + $30x > $1,538 solve for x
Answers
Answer:
Greater than 7.
Step-by-step explanation:
To solve for x in the inequality, we need to isolate x on one side of the equation. First, we need to subtract
$ [tex]\large \boxed{\mathrm{1328}}[/tex]
from each side, giving $30x > $210. Then, we divide both sides by 30 to find that x > 7. Therefore, to make the inequality true, x needs to be greater than 7.
A toy manufacturer produces its toys according to the production function: (10 PTS) Q = 4K + 5L where Q = output of toys per hour K = capital input per hour L = labor input per hour Answer the following questions. YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT. a) If K = 20, how much L is needed to produce 400 toys per hour? b) If L = 40, how much K is needed to produce 500 toys per hour?
Answers
a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.
To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64
Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.
b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L
Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75
Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.
In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.
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Find the supplementary angle (or supplement) to a 55º angle
30 PTSSSSSS IF YOU HELP ME GOOD, I WILL GIVE YOU BRAINLYEST BUT ANY FOOL ANSWERS WILL BE REPORTED
Answers
The supplementary angle means the sum of angles will be 180°. Hence the supplementary angle (or supplement) to a 55º angle is 125°.
What is a linear pair?When adding two or more angles, the result is 180°, and such pairs of angles are called linear pairs. The word 'linear' means 'straight', and 180° is also referred to as a straight angle. That is why a linear pair is always 180°.
Given angle is 55°.
To find the supplementary angle or supplement of 55º we must subtract 55º from 180°.
That is Supplement = 180 - 55 = 125°.
This is because supplementary angle means sum of two angles results in 180°.
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29°
82°
18m
18 m
Find the perimeter
Answers
The perimeter of the figure is 38.52.
We have,
The perimeter of the figure:
Side + 18 + 18
From the figure,
82 + 90 + x = 180
172 + x = 180
x = 180 - 172
x = 8
Now,
Using trigonometric identities Sin.
Sin 8 = Side/18
0.14 = side/18
side = 0.14 x 18
side = 2.52
Now,
The perimeter of the figure.
= Side + 18 + 18
= 2.52 + 18 + 18
= 38.52
Thus,
The perimeter of the figure is 38.52.
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A riverboat traveled 2.5 miles per hour for 0.8 hours. How far did it go?
Answers
distance = speed × time
where speed is in miles per hour and time is in hours.
Given that the riverboat traveled at a speed of 2.5 miles per hour for 0.8 hours, we can substitute these values into the formula:
distance = 2.5 miles/hour × 0.8 hours
distance = 2 miles
Therefore, the riverboat traveled 2 miles.
The binomial probability model is useful in many situations with variables of whatâ kind?
âDiscrete-valued numerical variables
Categorical variables
âContinuous-valued numerical variables
Bothâ discrete-valued andâ continuous-valued variables
Answers
The binomial probability model is useful in situations with discrete-valued numerical variables. Hence, the answer is option (a) discrete-valued numerical variables.
The binomial distribution is a probability model that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (e.g., success or failure, heads or tails, etc.).
The binomial distribution can be used to model a wide range of real-world scenarios, such as the number of defective products in a batch of goods, the number of heads in a series of coin flips, or the number of people who respond positively to a survey question.
Therefore, the correct option is (a) discrete-valued numerical variables.
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what is the projection of u onto v with "U" having points (-9,-5) and "V" having points (-6,5)
Answers
The projection of u onto v is proj_v(u) = (u•v)/(||v||²) * v = (29/61) * (-6,5) = (-174/61, 145/61).
Explain the term projection
Projection is the process of representing a three-dimensional object or scene onto a two-dimensional surface. It involves the use of mathematical principles to create a flat image that accurately depicts the shape and position of the object or scene. Projections are widely used in fields such as engineering, architecture, and computer graphics to create visual representations of complex structures and designs.
According to the given information
The projection of a vector u onto a vector v is given by the formula proj_v(u) = (u•v)/(||v||²) * v, where u•v is the dot product of u and v, and ||v|| is the magnitude of v.
In this case, u = (-9,-5) and v = (-6,5). The dot product of u and v is u•v = (-9)(-6) + (-5)(5) = 54 - 25 = 29. The magnitude of v is ||v|| = √((-6)² + (5)²) =
√(36 + 25) = √61.
So the projection of u onto v is proj_v(u) = (u•v)/(||v||²) * v = (29/61) * (-6,5) = (-174/61, 145/61).
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What is the domain and range of the function
Answers
The Domain of the function is = (-∞, 0) U (0, ∞)
The Range of the function is = (-∞, 0] U [0, ∞)
What is piecewise function?A function that is defined by various mathematical formulas or rules for various segments or intervals of its domain is known as a piecewise function.
In other words, the function is specified piece by piece, with a formula or rule for each individual piece.
When a single formula or rule is unable to adequately capture the behaviour of the function across the entire domain, a piecewise function is frequently used.
The various components of the function may take on various algebraic forms or may merely describe various functions' behaviours or conditions.
The given piecewise function is defined as:
f(x) = x, x > 0
f(x) = 0, x = 0
f(x) = -x, x < 0
Domain:
The domain of a function is the set of all values of x for which the function is defined. In this case, the function is defined for all real numbers except for x = 0 (where there is a discontinuity due to the change in definition).Therefore The function's domain is (-, 0). U (0, ∞).
Range:
The set of all possible values for a function is known as its range. Looking at the given function, we can see that the function takes on all positive values for x > 0, and all negative values for x < 0. At x = 0, the function takes on the value 0. Therefore, The function's range is [-, 0]. U [0, ∞)
Note that the range includes 0, since the function takes on this value at x = 0.
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Y is directly proportional to the cube root of x. When x is increased by 700%, find the percentage increase in y
Answers
If Y is directly proportional to the cube root of x, the percentage increase in y when x is increased by 700% is 100%.
If y is directly proportional to the cube root of x, we can write this relationship as y = [tex]kx^{(1/3)[/tex], where k is the constant of proportionality.
To find the percentage increase in y when x is increased by 700%, we first need to determine the new value of x. An increase of 700% means that x is multiplied by (1 + 700%) = 8. Therefore, the new value of x is 8 times the original value.
Substituting the new value of x into the equation for y, we get:
y = [tex]k(8x)^{(1/3)[/tex]
Simplifying this expression, we can write:
y = [tex]k(2^{3x)^{(1/3)[/tex]
y = k2x
So, we can see that when x is increased by 700%, y is increased by a factor of 2. This corresponds to a percentage increase of 100%.
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pls hlp thx ur great
Answers
Answer:
x = - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
14 = [tex]\frac{8}{3}[/tex] (x + 6) ← multiply both sides by 3 to clear the fraction
42 = 8(x + 6) ← distribute parenthesis
42 = 8x + 48 ( subtract 48 from both sides )
- 6 = 8x ( divide both sides by 8 )
[tex]\frac{-6}{8}[/tex] = x , that is
x = - [tex]\frac{3}{4}[/tex]
How many ways are arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and also the consonants appear in alphabetical order
Answers
There are 144 ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order
To solve this problem, we can break it down into two parts:
Part 1: Arranging the consonants in alphabetical order
The consonants in UNIVERSALLY are N, R, S, V, and Y. Since we want them to appear in alphabetical order, there is only one way to arrange them: NRSVY.
Part 2: Arranging the vowels so that no two occur consecutively
There are four vowels in UNIVERSALLY: E, I, U, and A. To arrange them so that no two occur consecutively, we can use the following strategy:
1. Start with the two consonants N and R. There are three spaces between them where we can place the vowels: _N_R_. We can place the vowels in these spaces in 4! = 24 ways.
2. Next, we add the consonant S to the left of N. There are now four spaces between S and R: S _ N _ R _. We can place the vowels in these spaces in 3! = 6 ways.
3. We continue adding consonants in alphabetical order and placing the remaining vowels in the available spaces. After adding V and Y, we end up with the following arrangement:
S U N I V E R S A L L Y R
There are 24 ways to arrange the vowels between the consonants at step 1, 6 ways to arrange them at step 2, and only 1 way to arrange them after all the consonants have been added. Therefore, the total number of arrangements that satisfy both conditions is:
24 x 6 x 1 = 144
So there are 144 ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.
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How to calculate a derivative using implicit differentiation
Answers
To calculate a derivative using implicit differentiation, follow these steps:
1. Write down the equation:
2. Differentiate both sides with respect to x:
3. Solve for dy/dx or y':
4. Simplify the result:
Write down the equation:
Start by writing down the equation involving both variables x and y, where y is an implicit function of x.
Differentiate both sides with respect to x: Apply the chain rule, product rule, or quotient rule, as needed, while differentiating both sides of the equation with respect to x.
Remember that when differentiating any term involving y, you'll also need to multiply by the derivative of y with respect to x, denoted as dy/dx or y'.
Solve for dy/dx or y': After differentiating both sides, you will have an equation involving dy/dx or y'.
Solve for this term to find the derivative.
Simplify the result: Simplify your answer as much as possible, if needed.
Remember to use implicit differentiation when the equation is not easily solved for y in terms of x.
It's a powerful technique that helps find derivatives in situations where explicit differentiation isn't feasible.
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Which of the following is equivalent to Log7(a) • logb(7)
Answers
Answer:
[tex] log_{7}(a) \times log_{b}(7) [/tex]
[tex] \frac{ log(a) }{ log(7) } \times \frac{ log(7) }{ log(b) } = \frac{ log(a) }{ log(b) } = log_{b}(a) [/tex]
solve the equation for x give the best answer
Answers
Answer:
x = 7.5
Step-by-step explanation:
3(x + 4.5) = 36
Distributive property
3x + 13.5 = 36
Isolate the x, Subtract 13.5 from both sides
3x = 22.5
Divide both sides by 3
x = 7.5
Korey is planning to open a comic book store. In his first year of operation, Korey expects to average $1,000 of profit each month. He then expects profits to increase by 6% each year for the next 4 years. How much does Korey expect to make in profits in his fifth year of operation? A = P (1 r) superscript t a. $15,149.72 b. $16,058.71 c. $31,120.46 d. $32,987.69
Answers
Korey expect to make in profits in his fifth year of operation is $15,149.72. So, the correct answer is option A) $15,149.72.
To calculate Korey's expected profits in his fifth year of operation, we need to consider the expected growth rate of profits over the next four years.
Korey expects profits to increase by 6% each year for the next four years. To calculate his expected profits for each of the next four years, we can use the following formula:
Profit = Previous year's profit + (Previous year's profit x growth rate)
Using this formula, we can calculate Korey's expected profits for each of the next four years:
Year 1: $12,000 (average monthly profit of $1,000)
Year 2: $12,720 ($12,000 + ($12,000 x 0.06))
Year 3: $13,478.40 ($12,720 + ($12,720 x 0.06))
Year 4: $14,278.30 ($13,478.40 + ($13,478.40 x 0.06))
To calculate his expected profits in the fifth year, we can use the same formula:
Year 5: $15,149.72 ($14,278.30 + ($14,278.30 x 0.06))
Therefore, the correct answer is option A) $15,149.72.
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Answer:
A. ) 15,149.72
Graph of polygon ABCDE with vertices at negative 3 comma 3, negative 3 comma 6, 1 comma 6, 1 comma 3, negative 1 comma 1. A second polygon A prime B prime C prime D prime E prime with vertices at negative 5 comma 3, negative 5 comma 6, negative 9 comma 6, negative 9 comma 3, negative 7 comma 1.
Determine the line of reflection.
Reflection across x = −4
Reflection across y = 1
Reflection across the x-axis
Reflection across the y-axis
Answers
The line of reflection is reflection across x = −4
Explain the term line
A line is an infinitely long and infinitely thin one-dimensional object that extends in opposite directions. It has no endpoints and is often represented by a straight line with two arrowheads. Lines are a fundamental concept in mathematics and are used to define other objects such as planes, angles, and shapes.
According to the given information
Let's use points A(-3, 3) and A'(-5, 3). The midpoint of the line segment connecting A and A' is ((-3 + (-5))/2, (3 + 3)/2) = (-4, 3). The slope of the line segment connecting A and A' is (3 - 3)/(-5 - (-3)) = 0. Since the line of reflection is perpendicular to this line segment, its slope is the negative reciprocal of 0, which is undefined. This means that the line of reflection is a vertical line.
Since the midpoint of the line segment connecting A and A' lies on the line of reflection and has an x-coordinate of -4, we can conclude that the line of reflection is x = -4.
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Listen Which statement correctly describes the scatter plot?
O The scatter plot shows clustering near the point (3, 5).
O The scatter plot does not show any pattern at all.
O The scatter plot shows clustering near the z-value of 3.
O The scatter plot shows clustering near the y-value of 3.
Answers
The statement that correctly describes the scatter plot is
The scatter plot does not show any pattern at all.What is scatter plotA scatter plot is a type of data visualization that displays the relationship between two numerical variables.
It is a graph that uses dots or points to represent the values of each variable, with one variable plotted on the x-axis and the other on the y-axis.
The position of each dot on the graph represents the values of the two variables for a single observation or data point.
Scatter plots are commonly used to identify patterns or relationships between variables, such as correlation or causation.
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Question 4 (1 point)
A sixth-grade class collected data on the number of siblings in the class. Here is the dot plot of the data they collected.
What amount of siblings occurred most often? (What is the mode)
Answers
Which operation can we use to solve for x in the equation 12+x=15?
A) Add 12 to both sides of the equation
B) Divide both sides of the equation by 12
C) Multiply both sides of the equation by 12
D) Subtract 12 from both sides of the equation
Answers
Answer:
Subtract 12 from both sides of the equation
Step-by-step explanation:
Solve for x:
12+x=15
-12 -12
x = 3
Brainlist please.
Answer:
D) Subtract 12 from both sides of the equation.
To solve for x in the equation 12 + x = 15, we need to isolate the variable x on one side of the equation. We can do this by subtracting 12 from both sides of the equation, which gives:
12 + x - 12 = 15 - 12
x = 3
Therefore, the solution for x is 3.
Pamela has $50,000 in a savings account. The interest rate is 3% per year and is not
compounded. How much will she have in total in 1 year?
Answers
Answer:
$51,500 in her savings account.
Step-by-step explanation:
If Pamela has $50,000 in a savings account with an interest rate of 3% per year and the interest is not compounded, then in 1 year she will earn an interest of $50,000 * 0.03 = $1,500.
So, after 1 year, Pamela will have a total of $50,000 + $1,500 = $51,500 in her savings account.