If the height of a cylinder is doubled the surface area will not be doubled.
What is surface area of cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
The surface area of a cylinder is expressed by;
A = 2πr(r+h)
Where r is the radius and h is the height.
This means that the surface area of a cylinder is affected both radius and height of the cylinder.
This means that if the height is doubled, the surface area will not be automatically doubled because radius has more effect than the height.
Therefore if height is doubled, the surface area is not necessarily doubled
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16 days 5 hours 23 minutes. how many minutes and hours come out in total?
Answer:
389 hours and 23 minutes
Step-by-step explanation:
16x24=384
384+=5=389
and 23 minutes
Easy question.. pls anwser
Answer:
Its B: -18
Step-by-step explanation:
- - makes a +
-57+37=-18
Answer: it’s B
hope this helps
3. Andre and Elena are saving money. Andre starts with $50 in his savings account and adds $5 per week. Elena starts with $5 in her savings account and adds $10 each week. a. After four weeks, who has more money in their savings account? Explain how you
In given word problem Andre has more money than Elena after four weeks.
What is word problem?
A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Here,
Initial investment of Andre= $50
She add $5 per week for next 4 weeks , then
=> 4×5 = $20
Then total savings of Andre = $50+$20=$70.
Now Initial investment of Elena = $5
She adds $10 for each 4 weeks then
=> 10×4=$40.
Now total savings of Elena = $40+$5=$45.
Here $70>$45.
Hence after 4 weeks Andre has more money than Elena.
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Suppose we estimate the following regression: yt = β1 + β2x2t +
β3x3t + ut. Suppose the variance of ut is related to a known
variable zt as follows: Var(ut) = σ^2(zt). How would you transform
the
To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.
When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.
To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.
By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.
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(10x+10)(4x+20) write a polynomial that represents the area of the football field. Write in standard form
can someone help with this please! tell what number each symbol is equivalent to and be sure to show how to answer it, i will give brianlist
Answer:
1
Step-by-step explanation:
Please help, I MAY GIVE BRAINLIEST IF RIGHT
Answer:
28.91
Step-by-step explanation:
What is x? will give brainliest whoever answers first and correctly
Answer:
\(x = -8\)
Step-by-step explanation:
We can solve for x by isolating it on one side of the equation.
If we're given the equation \(3x + 5 - x = x-3\), we can simplify it down.
First let's combine like terms on the left side.
\(2x + 5 = x-3\)
Now subtract x from both sides:
\(x + 5 = -3\)
Subtract 5 from both sides:
\(x = -8\)
Hope this helped!
Answer:
-8
Step-by-step explanation:
Simplify to 2x + 5 = X - 3
Subtract and you end up with x = -3 - 5
if the income tax rate is 4%, determine the amount of income tax paid on income of $20,000.
Answer: $800.
Step-by-step explanation:
To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.
20,000 x 0.04 = 800
The diameter of a tree increases by about 1/8 inch each year. Write an equation that represents x, the increase in the diameter of the tree, in the last y years.
According to the statement, the diameter increases by 1/8 inch each year, which means that the increase of the diameter is given by the number of years times 1/8.
Taking x as the increase and y as the number of years, the equationthat represents x in terms of y is:
\(x=\frac{1}{8}y\)The race course is 600 meters long. What is the length of the race in kilometers?
km
Answer:
.6 km
Step-by-step explanation:
We need to convert meters to kilometers.
1000 meters is 1 km.
600 meters * 1 km/ 1000m
600/1000 km
.6 km
Answer:
0.6 Km
Step-by-step explanation:
The race course is 600 meters long. What is the length of the race in kilometers?
1000 meters = 1 Kilometer
so
600 : 1000 =
0.6 Km
what number completes the sequence below? enter your answer below
9→ 14
12→17
15→20
18→?
Answer:
18 + 5 = 23
Step-by-step explanation:
tally the data into a frequency distribution using 100 as a class interval and 0 as a starting point
The data can be tallied into a frequency distribution using a class interval of 100 and a starting point of 0.
To create a frequency distribution, we group the data into intervals or classes and count the number of data points falling within each interval. The class interval represents the range of values covered by each class, and the starting point determines the first interval.
Here is an example of how the data can be tallied into a frequency distribution using a class interval of 100 and a starting point of 0:
```
Class Interval Frequency
0 - 99 12
100 - 199 18
200 - 299 24
300 - 399 15
400 - 499 10
500 - 599 8
600 - 699 5
700 - 799 3
800 - 899 2
900 - 999 1
```
In this frequency distribution, the data is divided into classes based on the class interval of 100. The first class, from 0 to 99, has a frequency of 12, indicating that there are 12 data points falling within that range. The process is repeated for each subsequent class interval, resulting in a frequency distribution table.
By organizing the data into a frequency distribution, we gain insights into the distribution and patterns within the dataset. It provides a summarized view of the data, allowing us to identify the most common or frequent values and analyze the overall distribution.
In summary, the data has been tallied into a frequency distribution using a class interval of 100 and a starting point of 0. The frequency distribution table presents the number of data points falling within each class interval, enabling a better understanding of the distribution of the data.
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If A c B and A N B= • then which of the following can be concluded about the sets A and B!
Step-by-step explanation:
Set A is a subset of set B if all the elements of A are also the elements of Set B.. (common element)
The above set have 0 common elements so.. if there is no common element and are subsets then it means that there arent any elements in both the sets
so, the answer for the question would be "both the Sets A and B are the empty sets"
A new community sports complex is being build in Madison. The perimeter of the rectangular playing field is 466 yards. The length of the field is 7 years less than quadruple the width. What are the dimensions of the playing field?
Answer:
The dimensions of the field is 185 yards by 48 yards
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the field.
Let the width of the field be x yards
From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width
So mathematically, the length of the field will be ;
(4x -7) yards
The perimeter of the field mathematically is:
2(l + b)
Thus;
2(x + 4x- 7) = 466
2(5x -7) = 466
divide both side by 2
5x - 7 = 466/2
5x - 7 = 233
5x = 233 + 7
5x = 240
x = 240/5
x = 48 yards
Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards
based on the data shownin the graph how many boxes can the shipping company to pack in a 18 hour period
The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the number of hours be x
Let the number of boxes be y
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 5 , 60 )
Now , the slope of the line m = y/x
Substituting the values in the equation , we get
Slope m = 60 / 5 = 12
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 60 = 12 ( x - 5 )
y - 60 = 12x - 60
y = 12x
Now , when x = 18 hours
y = 12 ( 18 ) boxes
y = 216 boxes
Hence , the number of boxes is 216 boxes
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843.5 x 10*2 =
I need help
Answer:
16870
Step-by-step explanation:
Answer: um 16870 I guess
Step-by-step explanation: I hope I help and can you plz give me a brainliest
is 32.8/27 and 8.2/9 a proportion
Answer:
yes its a proportion
Step-by-step explanation:
An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of descent is 2° from the horizontal, determine the new altitude after 15 minutes. Round to the nearest tenth of a mile. 6.
Rounding to the nearest tenth of a mile, the new altitude after 15 minutes of descent is approximately 3.1 miles.
To determine the new altitude of the airplane after 15 minutes of descent, we need to calculate the change in altitude during that time period. We can use trigonometry to find the vertical component of the scent.
Given:
Speed of the airplane: 400 mph
Angle of descent: 2°
Time of descent: 15 minutes
First, let's convert the time of descent from minutes to hours:
15 minutes = 15/60 = 0.25 hours
Now, let's calculate the vertical component of the descent using trigonometry:
Vertical component = Horizontal distance x tan(angle of descent)
Since the horizontal distance traveled can be calculated as the product of speed and time:
Horizontal distance = Speed x Time
Horizontal distance = 400 mph x 0.25 hours = 100 miles
Now, substituting the values into the equation for the vertical component:
Vertical component = 100 miles x tan(2°)
Using a scientific calculator, we find that tan(2°) is approximately 0.034921.
Vertical component = 100 miles x 0.034921 ≈ 3.4921 miles
Therefore, the change in altitude during the 15-minute descent is approximately 3.4921 miles.
To find the new altitude after the descent, we subtract the change in altitude from the initial altitude of 6.6 miles:
New altitude = 6.6 miles - 3.4921 miles ≈ 3.1079 miles
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Please help, will mark as brainlest
Answer:
Step-by-step explanation:
we should do multiplications first:
1)
\(1)12a^{2}*3ba=12a^{3}b\\2)2ab*3ab^{2}=6a^{2}b^{3}\\3)11aba=11a^{2}b\\4)12a^{3}b+6a^{2}b^{3}+11a^{2}b=a^{2}b(12a+6ab^{2}+11)\)
2)
\(1)1.5xy^{2}*(-4)xyz=-6x^{2}y^{3}z\\2)-4mnk*5m^{2}n^{3}k=-20m^{3}n^{4}k^{2}\\3)-6x^{2}y^{3}z-20m^{3}n^{4}k^{2}\)
Consider the following function. f(x) = x²/x² - 81. (a) Find the critical numbers and discontinuities of f. (Enter your answers as a comma-separated list.) X= __ (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing __ decreasing __ (C) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ___. relative minimum (x, y) = ___
(a) To find the critical numbers and discontinuities of f(x) = x² / (x² - 81), we first find its derivative f'(x) and check where the denominator equals zero.
f'(x) = [(2x)(x² - 81) - (2x)(x²)] / (x² - 81)², f'(x) = (2x)(-81) / (x² - 81)², Critical numbers are the values of x for which f'(x) = 0. In this case, there are no critical numbers, as the numerator is never equal to zero. Discontinuities occur when the denominator is equal to zero: x² - 81 = 0
x² = 81
x = ±√81
x = ±9
Thus, the discontinuities are x = -9 and x = 9. (b) To find the open intervals on which the function is increasing or decreasing, we analyze the sign of the derivative f'(x). f'(x) is positive when -81(2x) < 0, which occurs in the interval (-∞, -9) ∪ (9, ∞). f'(x) is negative when -81(2x) > 0, which occurs in the interval (-9, 9).
So, the function is increasing on (-∞, -9) ∪ (9, ∞) and decreasing on (-9, 9).
(c) Since there are no critical numbers, there are no relative extrema (maximum or minimum) for this function. So, the answer is DNE for both relative maximum and relative minimum.
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Exponential functions in real life situation
Answer:
ANSWER IS-EXPONENTIAL IS LIFE BASED FUNCTION√Step-by-step explanation:
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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A circle has a center at 4 – 5i and a point on the circle at 19 – 13i. Which of the following points is also on the circle? –11 –3i –4. 5 3. 5i 12 10i 21 12i.
To solve the problem we must know about the equation of a circle and complex numbers.
Equation of circleRadius² = (Distance between the center and any point on the circle)²
Radius = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Complex NumberComplex Number, z = (x +iy)
Another point that will lay on the same circle is (12 + 10i).
ExplanationGiven to us
center = (4 – 5i)point on the circle = (19 – 13i)Solution
We know that equation for a circle can be written as,
Radius of the CircleRadius of the Circle
= √(Distance between the center and any point on the circle)²
Radius of the Circle = √[4-19]²+[-5 -(-13)]²
= √[-15]²+[8]²
= √225 + 64
= √225 + 64
= √289
= 17
Now compare the distance between the center of the circle and the points.
ComparisonA.) –11 –3i
Distance between the center and point on the circle
= √[4-(-11)]² + [-5 - (-3)]²
= √[15]² + [-2]²
= √225 + 4
= √229
B.) –4. 5+3. 5i
Distance between the center and point on the circle
= √[4-(-4.5)]² + [-5 - (3.5)]²
= √[9.5]² + [-8.5]²
= √90.25+ 72.25
= √162.5
C.) 12 + 10i
Distance between the center and point on the circle
= √[4-(12)]² + [-5 - (10)]²
= √[-8]² + [-15]²
= √64+ 225
= √289
= 17
D.) 21 + 12i.
Distance between the center and point on the circle
= √[4-(21)]² + [-5 - (12)]²
= √[17]² + [-17i]²
= √289+ 289
= √578
Hence, another point that will lay on the same circle is (12 + 10i).
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Can someone help with please and thank you
1) Translation
2) Rotation
3) Translation
4) None of these
On a blueprint, the diagram of a building has a height of 25 cm.
The height of the building is x times the height of the diagram.
Which equation represents the height, h, of the building?
h = 25 : x
B
x = 25h
h = 25 + x
h = 25x
Answer:
h = 25x
Step-by-step explanation:
Given the following
height of building = h
height of diagram = 25cm
If the height of the building is x times the height of the diagram, then;
h = x * 25
h = 25x
Hence the required equation is h = 25x
1. Jai has three different shirts (red, blue, and orange) and two pairs of pants (jeans and corduroys). How many different outfits consisting of one shirt and one pair of pants are possible? (1 point)
5
6
9
2. Customers can choose to get ice cream in a plain cone or waffle cone at the ice cream bar. There are three ice cream flavors (chocolate, strawberry, and vanilla) and two toppings (nuts or sprinkles) to choose from. How many different choices of one cone, one type of ice cream, and one topping are possible? (1 point)
12
7
6
3. At the pizza parlor, you can choose from two crust options and five toppings. How many different pizzas with one type of crust and one topping can you make? (1 point)
25
7
10
4. If you roll a standard number cube, and flip a coin, how many different outcomes are possible? (1 point)
6
8
12
5. There are eight different sandwiches and four different beverages on the lunch menu. How many different combinations of one sandwich and one beverage are possible? (1 point)
32
24
12
6. You roll a number cube two times. How many different results are possible? (1 point)
42
36
12
7. A toy manufacturer makes a stuffed bear in four different sizes and six different colors. How many different bears are offered? (1 point)
10
24
28
8. At their breakfast bar, a hotel offers orange juice, grapefruit juice, apple juice, scrambled eggs, hard boiled eggs, white toast, and whole wheat toast. How many outcomes are possible if you choose one type of juice, one type of egg, and one type of bread? (1 point)
9
12
18
9. In your closet, you have five pairs of pants, six shirts, and three pairs of shoes. How many different outfits can you put together with one pair of pants, one shirt, and one pair of shoes? (1 point)
90
60
14
10. If you win a game at the carnival, you can choose either a stuffed dog or a stuffed snake, each of which is available in four different colors. How many different prize options do you have? (1 point)
6
8
16
The answers to all parts shown below.
1. There are 3 ways to choose a shirt and 2 ways to choose a pair of pants.
By the multiplication principle, there are 3 × 2 = 6 ways to choose an outfit consisting of one shirt and one pair of pants.
Therefore, the answer is 6.
2. There are two choices of cones and three choices of ice cream and two choices of toppings.
So, the number of possible choices is:
= 2 (choices of cones) x 3 (choices of ice cream) x 2 (choices of toppings)
= 12 possible choices.
3. To see why, consider that there are 2 options for the crust and 5 options for the topping. You can combine any of the 2 crust options with any of the 5 topping options, giving you a total of 2 x 5 = 10 different pizzas.
4. When rolling a standard number cube, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6). When flipping a coin, there are 2 possible outcomes (heads or tails).
To find the total number of different outcomes when rolling a number cube and flipping a coin, you can multiply the number of outcomes for each event:
Total outcomes
= (number of outcomes for rolling a number cube) x (number of outcomes for flipping a coin)
= 6 x 2
= 12
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Using proportios (ratios) find the valure of x.
The value of x is 7.82
How to get values using proportions?Following these procedures will help us use proportions to solve challenges in the real world:
1. Set up two ratios comparing the identical quantities using the information from the problem.
2. Create a proportion by setting the ratios equal.
3. To find the proportional unknown, use cross multiplication.
\(AB/ AD = TS/ UT\)
\(7/ 14.8= 3.7/ x\)
On cross multiplying we get
7x= 54.76
x= 7.822
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A scale model of a bicycle
has a scale of 1:30. The
reau bicyde has a length
of 1.5m. What is the length
of the model in cm.
Answer:
5cm
Step-by-step explanation:
Convert 1.5m into cm to make it easier to solve.
1.5m --> 150cm (*100)
The real bike length is 30 times larger than the scale. So to undo this we need to divide by 30.
150cm / 30 = 5cm
S
Perimeter:
33. Write and solve an equation based on the
following description:
"a number increased by 11 is equal to twice the
number decreased by 12"
Equation:
The equation formed by the description in question is: x + 11 = 2(x - 12), and the solution for this equation is: x = 35 .
What is equation?
Am equation is a mathematical statement in which we show that two amounts or expressions are equal using mathematical symbols.
For example 2x + 3y = 10
Let the number be x,
As given in the question, Number increased by 11.
this can be written as expression:
x + 11
Again given in the question ,
twice the number decreased by 12
this can be written as expression:
2(x - 12)
Equating both expressions:
x + 11 = 2(x - 12)
x/2 + 11/2 = x - 12
11/2 + 12 = x - x/2
(35/2 )2 = x
x = 35
Therefore, the solution for the equation formed is x = 35
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