Answer
88π cm³
Explanation
Given:
Radius, r = 4 cm
Height, h = 7 cm
What to find:
The surface area of the cylinder.
Step-by-step solution:
The surface area of the cylinder is given by;
\(S.A=2\pi rh+2\pi r^2\)Putting the values of the parameters we have
\(\begin{gathered} S.A=(2\times\pi\times4\times7)+(2\times\pi\times4^2) \\ \\ S.A=56\pi+32\pi \\ \\ S.A=88\pi\text{ }cm^2 \end{gathered}\)Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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Consider the following loan. Complete parts (a)-(c) below
An individual borrowed $88,000 at an APR of 6%, which will be paid off with monthly payments of $667 for 18 years.
a. Identify the amount borrowed, the annual interest rate, the number of payments per year, the loan term, and the payment amount.
The amount borrowed is $, the annual interest rate is%, the number of payments per year is the loan term is years, and the payment amount is $
The complete statements are mathematically given as
the amount borrowed= 88000the annual interest rate= 6%the number of payments per year= 12The loan term= 18the payment amount.=8004What is the amount borrowed, the annual interest rate, the number of payments per year, the loan term, and the payment amount.?Generally, The transfer of money, products, or services in return for other goods and services in proportions that have been previously agreed upon and deemed acceptable is what is meant by the term "payment."
In conclusion, the amount borrowed= 88000
the annual interest rate= 6%
the number of payments per year= 12
The loan term= 18
the payment amount.=667*12
the payment amount.=8004
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Which of the following is resistant?
Correlation
LSRL
Slope
Residuals
None of the above
Out of the given options, none of them are resistant, except for the median. The median is a robust measure of central tendency that can resist the impact of outliers. Therefore, if you have a data set that has outliers, it is better to use the median instead of the mean.
Resistant refers to the property of statistical methods or measures that are not influenced by the presence of outliers or extreme values. Hence, they remain effective even after the introduction of unusual values. The term "outlier" refers to values that do not follow the expected pattern of the rest of the data. These values can have a significant impact on statistical analyses, such as correlation, linear regression, etc. Hence, it is essential to identify methods that can resist such an impact.
Out of the given options, the only term that is resistant is "median" or "median absolute deviation." The median is a measure of central tendency that is not affected by outliers. It is defined as the middle value when the data set is arranged in ascending or descending order. On the other hand, the mean is sensitive to outliers, and it can be influenced by the extreme values. Therefore, if you have a data set that has outliers or extreme values, it is better to use the median instead of the mean.
The least-squares regression line (LSRL) is a statistical method that is used to find the relationship between two variables. It is calculated by minimizing the sum of the squared differences between the predicted values and the actual values. However, it is not resistant to outliers. If an outlier is present in the data, it can significantly affect the slope of the line, which can lead to wrong predictions.
Correlation is another statistical method used to determine the relationship between two variables. It measures the strength and direction of the relationship between two variables. However, like LSRL, it is not resistant to outliers.
The residuals are the differences between the predicted values and the actual values. They are used to assess the goodness of fit of a model. However, they are not resistant to outliers, and they can be influenced by extreme values.
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A mortgage is in the amount of $400,000. The origination fee is 0.2%, the intangible tax is 0.4%, and there are 1.9 discount points. Which of the
following is the total cost of the origination fee, intangible tax, and discount points?
$9,200
$10,000
$7,600
$2,400
Someone please help me :(
Answer:
Total cost of All fee = $10,000
Step-by-step explanation:
Given:
Mortgage amount = $400,000
Origination fee = 0.2%
Intangible tax = 0.4%
Discount point = 1.9
Find:
Total cost of All fee
Computation:
Total cost of All fee = (Mortgage amount)(Origination fee) + (Mortgage amount )(Intangible tax) + (Mortgage amount )(Discount point)
Total cost of All fee = ($400,000)(0.2%) + ($400,000)(0.4%) + ($400,000)(1.9/100)
Total cost of All fee = $800 + $1,600 + $7,600
Total cost of All fee = $10,000
f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x=4y-9
x+4y=3
Answer:
(- 3, 1.5)
--------------------------
Given system:
x = 4y - 9x + 4y = 3The first expression is ready to be substituted as no further operation is required to simplify it.
4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5Find x:
x = 4*1.5 - 9x = 6 - 9x = - 3HELP PLEASE I AM SO STUCK AND CONFUSED
Answer:
5 2/3 inStep-by-step explanation:
Circumference equation:
C = 2πrSubstitute the values of C and π, then solve for r:
35 13/21 = 2*22/7*r21(35 + 13/21) = 21*44/7r735 + 13 = 132r748 = 132rr = 748/132r = 5 2/3 in
Find the y-intercept of the line on the graph.
The y-intercept of the line on the graph is -2.
What is termed as the y-intercept?The point at which the graph intersects a y-axis is known as the y-intercept. Finding the intercepts of any function of the form y = f(x) is critical when graphing. A function can have one of two types of intercepts. They are known as the x and y intercepts. An intercept of a function is the point at which the function's graph intersects the axis. A graph's y intercept is the point at which the graph intersects the y-axis. We know that any point just on y-axis has an x-coordinate of 0. As a result, the x-coordinate of the a y-intercept is 0.For the given question;
The graph of the straight line is given.
The y-intercept of the line is the point on y axis where the value of the x becomes zero.
At x = 0, y = -2.
Thus, he y-intercept of the line on the graph is -2.
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What is AB in the figure.
Answer:
Sjjsjsdjjdjsjshsskeidbndxkxuxhsnsndhdhsksms
Comebine like terms 8x + 5z - 4x + 3z + 6
Answer: 4x + 8z + 6
Step-by-step explanation: 8x + (-4x) = 4x , 5z + 3z = 8z. 4x + 8z + 6
2. GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION
Answer:
its 5
Step-by-step explanation:
Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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Determine whether each ordered pair is a solution of the equation y=2x+6
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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Kai is buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. He wrote this equation to find how many dollars he'll spend (d)(d)left parenthesis, d, right parenthesis when he buys some number of boxes of cookies (c)(c)left parenthesis, c, right parenthesis:
d=4cd=4cd, equals, 4, c
Identify the dependent and independent variables.
The number of boxes of cookies Kai buy : independent variable
The amount of the cookies will cost in dollars : dependent variables
Based on the given conditions, formulate,
Each box of cookies costs is = \$4$4dollar (sign, 4).
Cookie represented by c
The required equation is,
d = 4cd = 4cd = 4c
The price is determined by the number of cookies purchased.
c is the independent variable
when c is changes d is changed
So, d is the dependent variable
variables of the equation.
So,
We can write,
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Then, the cost of each box of cookies is $4.
It means,
The cost of 1 box of cookies is = $4.
The cost of 2 boxes of cookies is = $(4+4) = $(2×4)
The cost of 3 boxes of cookies is = $(4+4+4) = $(3×4)
The cost of cookies = (Number of boxes × 4)
The required equation is,
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Therefore,
The boxes of cookies Kai buy : independent variable
The cookies will cost in dollars : dependent variables
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Boxes of cookies (c) is Independent.
Dollars spent (d) is Dependent.
Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.
Answer:
id ont givea
efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr
Step-by-step explanation:
idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
Write and simplify the following expression:
The product of 5 and x multiplied by 6 less
than the product of 3 and X.
Answer:
Step-by-step explanation:
(5*x)(6-3x)=5x(6-3x) simplified
=30x-15x^2
which process in the water cycle that is not driven by the force of gravity? *
A. infiltiration
B. precipitation
C. evaporation
D. run off
Answer : The answer is option c evaporation
The process in the water cycle that is not driven by the force of gravity is evaporation.
The water cycle is a series of processes that transport water between the earth's water bodies to the atmosphere, and land, including precipitation in the form of rain as well as snow, evaporation, and transpiration to restore water to the atmosphere.
The force of gravity is a universal force of attraction that acts on any matter coming towards the earth's surface.
From the given options, the only option that is not driven by the force of gravity is evaporation.
This is because water substances evaporate upward and not downward the earth's surface.
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h(x)=√1407.3x
Find h(2.2). Round to the nearest hundredth.
The correct answer to the given mathematical function is 82.530.
What is a mathematical function?
The network of the function, a common method of illuminating the function, is the set of all pairings (x, f (x)) that uniquely represents a function. Each such pair can be considered the Cartesian dimensions of a point inside the plane whenever the domain and also the codomain are subsets of real values.In research, engineering, and the majority of the branches of mathematics, functions are frequently utilized. Functions are allegedly "the main objects of inquiry" in the majority of mathematical disciplines.Given that,
\(h(x) = \sqrt{1407.3 x}\)
Putting x= 2.2 in given mathematical function, we will get,
\(h(2.2) = \sqrt{1407.3\ X\ 2.2}\)h(2.2)= √1407.3(2.2)
=82.530
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Help me asap and need the answer quick
Answer:20 m/s
Step-by-step explanation:
Answer:
20 m/s
Step-by-step explanation:
700 ÷ 35 = 20 m/s
A classmate claims that ( f ⋅ g)' = f ' ⋅ g' for any functions f and g. Show an example that proves your classmate wrong.
This is not true for all functions. To prove this, an example is given below. Let f(x) = x and g(x) = x².
What is function?A function is a relation that associates each element of a set, called the domain, to exactly one element of another set, called the range. It is a type of correspondence between two sets, where each element of one set is associated with exactly one element of another set.
The first derivative of f(x) is f ' (x) = 1 and the first derivative of g(x) is g ' (x) = 2x.
Therefore, ( f ⋅ g )' = ( x ⋅ x2 )'
= 1 ⋅ 2x + x ⋅ 2
= 2x + 2 ≠ 1 ⋅ 2x + 2x
= 4x
= f ' ⋅ g '
This example proves that the statement (f⋅g)' = f'⋅g' is incorrect. It is important to note that this does not mean that the statement is not true for all functions. It simply means that for the particular example given, the statement is not correct.
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The graph shows the value of a car at different years after Joanna purchased it.Which answer is the best estimate for the average rate of change between year 9 and year 14?
The average rate of change can be found through the formula
\(average=\frac{f(b)-f(a)}{b-a}\)then, looking at the graph, the points that are needed are (14,750) and (9,1400).
Using the formula,
\(\begin{gathered} average=\frac{1400-750}{9-14} \\ average=\frac{650}{-5} \\ average=-\text{\$}\frac{130}{\text{year}} \end{gathered}\)A student's height is measured as 66 in. to the nearest inch. What are the
student's minimum and maximum possible heights?
Sydney’s senior picture package includes several sizes of portraits. The smallest photo is a 1.5-inch wide and 2 inch tall rectangle. The largest photo is 12 inches wide and is similar to the smallest photo. How tall is the largest photo? Show work
The height of the largest photo is 16 inches.
Sydney's senior picture package includes several sizes of portraits. The smallest photo is a 1.5-inch wide and 2 inch tall rectangle.
The largest photo is 12 inches wide and is similar to the smallest photo.
Let's assume that the largest photo's height is h, then we can say the ratio of the largest photo to the smallest photo is given as:\[\frac{h}{2}=\frac{12}{1.5}\]
Simplify the ratio:\[\frac{h}{2}=8\]
Multiplying each side by 2:\[h = 16\]
Therefore, the height of the largest photo is 16 inches.
Hence, the answer is 16.
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Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 runs. In the last 4 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs. Write an inequality to determine the number of runs per inning, p, Kim's team could have scored.
The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.
Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:
(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)
Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:
Six runs were scored by Kim's squad in the first four innings.
The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:
Eight innings times the number of runs per inning is eight runs for Kim's team overall.
Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:
The other team scored a total of 17 runs.
Combining everything, we may represent the inequality as follows:
Total runs scored by Kim's team surpasses all other teams' total runs.
8p + 6 > 17
When we reduce the inequality, we obtain:
8p > 11
When we multiply both sides by 8, we get:
p > 11/8
In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.
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Answer:
6+4p>17
Kim's team scored a minimum of
3 runs per inning.
Step-by-step explanation: Khan Academy
If in 1 month you can make 6 carpets, how many days will it take for making 10 carpets?
Si en 1 mes puedes hacer 6 alfombras, ¿cuántos días se necesitarán para hacer 10 alfombras?
Step-by-step explanation:
6 carpets=1month
10 carpets=?
1month=31 days
10 /6*31
51
Step-by-step explanatio
-5 1/4 -(-7 1/2) simplify
really fast pleas
What change do you have to make to the graph of f (x) = 7x in order to graph the function g (x) = 7x+10?
To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.
To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.
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Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
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if the point ( -2 2 ) is reflected across the y-axis what is the new coordinates
The new coordinates of the reflected point will be (2, 2).
Reflection:
In mathematics, reflection is a transformation that "flips" an object over a line or plane. Reflection is a type of symmetry, where an object appears exactly the same after being reflected as it did before.
When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.
Here we have
The point (-2, 2) is reflected across the y-axis
When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.
The new coordinate of the point = (-(-2), 2) = (2, 2)
Therefore,
The new coordinates of the reflected point will be (2, 2).
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What are the factors of the polynomial P x x3 5x2 2x 8?
The polynomial x³+5x²+2x-8 has the factors (C) (x + 4), (F) (x + 2), and (D) (x - 1) as its factors.
What are the factors?A number that entirely divides another number is known as a factor.
In other words, if multiplying two whole numbers results in a result, the two whole numbers we are multiplying are factors of the result since the result may be divided by them.
Factors are the numbers that can divide a number exactly.
Therefore, after division, there is none left over.
So, let's see if the polynomial has (x - 1) as a factor:
⇒ p(1) = (1)³ + 5(1)² + 2(1) - 8
⇒ p(1) = 1+ 5 + 2 - 8
⇒ p(1) = 0
Multiply the component g(x) = by the polynomial p(x) = x3 + 5x2 + 2x - 8. (x - 1).
⇒ (x³ + 5x² + 2x - 8) ÷ (x - 1)
⇒ x² + 6x + 8
By dividing the middle term, let's factorize the aforementioned polynomial to determine the value of x.
Determine what a, b, and c are worth.
A is the coefficient of x2 = 1, B is the coefficient of x = 6, and C is the constant term = –8 in the equation above.
Determine the factors that add up to b by multiplying a and c.
1 × (8) = 8
The two factors that add up to b are 4 and 2.
Make two terms out of bx.
x² + 4x + 2x + 8
Eliminate the common elements by grouping.
x + 4x + 2x + 8 = x(x + 4) + 2 (x + 4)
= (x + 2) (x + 4)
Therefore, the polynomial x³+5x²+2x-8 has the factors (C) (x+4), (F) (x+2), and (D) (x-1) as its factors.
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Complete question:
Select all of the factors of x3 + 5x2 + 2x - 8;
a. x + 5, b. x - 3, c. x + 4, d. x - 1, e. x + 3, f. x + 2