Answer:
44 in^2
Step-by-step explanation:
The surface area is 2 circles and one rectangular shape side, the area for the circle is A = pi*r^2 = 1^2*pi, and side area is circumference of the circle times height, so A side = pi*D*height = 2pi*6 =12pi.
So total surface area = 2pi + 12pi = 14pi =43.98 = 44 in^2
If it is helpful, plz give me Brainliest.
The closest to the total surface area of the cylinder is 44 inches²
Total surface area of a cylinder:a = 2πr(r+h)where
r = radius
h = height
Therefore,
r = 2 / 2 = 1 inch
h = 6 inches
a = 2 × 3.14 × 1(1 + 6)
a = 6.28(7)
a = 43.96
a ≈ 44 inches²
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What is 2x-3(3x-11)=-2
Answer:
x=5
Step-by-step explanation:
2x-3(3x-11)= -2
2x-9x+33= -2
-7x-33= -2
-7x= -33-2
-7x= -35
÷ -7= ÷ -7
x= 5
if my flight leaves at 9am on a sunday (CST) calculate the time and day i will arrive at my destination if the flight takes 25hrs and 50mins. show working out.
Answer:
10:50 am, if you have to round the hour it would be 11 am on monday
Step-by-step explanation:
What I like to do for these type of problems is to add the 24hrs first so it would still be 9 am just on monday then we still have 1 hour and 50 minutes to add so
so it would be 10:50 am, if you have to round the hour it would be 11 am on monday
Answer:
10:50 am Monday
Step-by-step explanation:
Subtract 24 hours from 25 to skip a day.
25hours -24 hours=1 hour
It is monday 9am
Now we add 1 hour.
10 am monday
Add 50 minutes:
10:50 am Monday
WHATS THE ANSEER FAST PLS
Answer:
Volume is approximately 150.8 (rounded).
Answer:
151 \(cm^3\)
Step-by-step explanation:
\(V = (1/3)\pi r^2h\\V = (1/3)\pi * 4^2 * 9 = 150.796 = 151 cm^3\)
is 30 a rational number?
Answer: Yes
Step-by-step explanation:
It is in all the rational number categories like natural, whole, integer, or just rational numbers.
A piece of plot in Gilgil measuring 27m by 16m is to be divided into smaller rectangular units leaving no remainder. Calculate the highest number of smaller units whose dimensions are each greater than 1m that can be obtained from the plot.
The maximum number of individual areas that may be created from the plot and have dimensions larger than 1 m each is 216.
What does the word "dimensions" mean?A dimension in mathematics is the lengths or breadth of a region, area, or space as seen from a single angle. It only comprises its length, width, and height of an item. A typical approach to describe dimensions is by length. Height, depth, and other dimensions represent example of dimensions. The dimensions of a line, a square, and a cube are all one, two, and three dimensions, respectively (3D).
ab > 1
So, a = 1
b = 2
Number is 27/1 * 16/2
= 27 * 8
= 216
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pls help (ty and I just clicked sas cause I don’t know sorry)
Find the sale price of the item. Round to two decimal places if necessary. Original price: $80. 00
Markdown: 32%
The sale price of the item is $54.40, calculated by subtracting the markdown amount of $25.60 from the original price of $80.00.
The sale price of an item can be calculated by taking the original price of the item and applying the markdown percentage. In this case, the original price of the item is $80.00 and the markdown percentage is 32%.
To calculate the markdown amount, we can multiply the original price by the markdown percentage as a decimal. So, 32% as a decimal is 0.32, and when we multiply this by $80.00, we get a markdown of $25.60.
To calculate the sale price, we can subtract the markdown amount from the original price. So, $80.00 - $25.60 = $54.40. Therefore, the sale price of the item is $54.40.
It is important to round the answer to two decimal places, as specified in the question. In this case, we do not need to round as the answer already has two decimal places.
In summary, to find the sale price of an item with a given markdown percentage, we can use the formula:
Sale Price = Original Price - (Original Price x Markdown Percentage)
In this case, the sale price of the item is $54.40, calculated by subtracting the markdown amount of $25.60 from the original price of $80.00.
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Which set of numbers CANNOT represent the lengths of the sides of a triangle?
O A. 9, 12, 19
O B. 7, 5, 6
C. 6, 8, 11
O D. 7, 18, 11
Answer:
D
Step-by-step explanation:
The problem with D is that 7 + 11 = 18. The rule is any two sides must exceed the third. D gives the shorter + the middle length = the longest length.
That can't work. All the others are fine.
Write an expression for which subtracting 5 from an expression would isolate the variable
An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2
What are algebraic expressions?Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.
These expressions are also known to consist of arithmetic operators, which includes;
Floor divisionDivisionExponentiationAdditionMultiplicationSubtraction, etcFrom the information given, we have to subtract five from an expression to isolate the variable
Now, let's us the algebraic expression;
-9x + 5 = x + 2
Let's subtract 5 from both sides of the equation, we get;
-9x + 5 - 5 = x + 2 - 5
add and subtract the like terms
-9x + x = -3
-8x = -3
x = 3/8
Hence, the expression is -9x + 5 = x + 2
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A store sells a 1 1/4 pound package of turkey for $9
.What is the unit price of the turkey in the package?
If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.
The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.
To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.
First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.
Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:
⇒ Unit price = (Total cost)/(Weight of turkey in package),
⇒ Unit price = $9/1.25 pounds,
⇒ Unit price = $7.20 per pound,
Therefore, the unit price of turkey in the package is $7.20 per pound.
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The given question is incomplete, the complete question is
A store sells a 1(1/4) pound package of turkey for $9. What is the unit price of the turkey in the package?
which artist's most famous works are characterized by intersecting horizontal and diagonal lines?
One artist whose most famous works are characterized by intersecting horizontal and diagonal lines is Piet Mondrian.
Mondrian was a Dutch painter known for his abstract art and his contributions to the De Stijl movement. His iconic style involved the use of straight lines and primary colors, with intersecting horizontal and vertical lines creating rectangular shapes.
Mondrian's most famous works, such as "Composition with Red, Blue, and Yellow" and "Broadway Boogie Woogie," feature a grid of intersecting lines that create a sense of dynamic equilibrium and balance.
Piet Mondrian, a Dutch painter, was a key figure in the development of abstract art and the De Stijl movement. His artistic style evolved over time, ultimately leading to his iconic works characterized by intersecting horizontal and diagonal lines.
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A person starts walking from home and walks:____.
a. 5 miles east
b. 6 miles southeast
c. 6 miles south
d. 7 miles southwest
e. 4 miles east
The person has walked a total of 28 miles. To calculate total distance walked by the person, we add up the distances in each direction
5 miles East + 6 miles Southeast + 6 miles South + 7 miles Southwest + 4 miles East
When we add these distances together, we get:
5 + 6 + 6 + 7 + 4 = 28
Therefore, the person has walked a total of 28 miles.
In more detail, let's break down the distances walked in each direction:
- 5 miles East: This means the person walked 5 miles in the East direction.
- 6 miles Southeast: This means the person walked 6 miles in the direction that is both South and East.
- 6 miles South: This means the person walked 6 miles in the South direction.
- 7 miles Southwest: This means the person walked 7 miles in the direction that is both South and West.
- 4 miles East: This means the person walked 4 miles in the East direction.
By adding up these distances, we find that the person has walked a total of 28 miles.
#A person starts walking from home and walks: 5 miles East 6 miles Southeast 6 miles South 7 miles Southwest 4 miles East This person has walked a total of ---miles
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A shoe store uses a 115% markup on cost. If they sell a pair of shoes for $85.49, how much did the shoes cost before the markup?
Given:
A shoe store uses a 115% markup on cost.
Selling price of pair of shoes = $85.49
To find:
The cost of shoes before markup.
Solution:
Let x be the cost of shoes before markup.
A shoe store uses a 115% markup on cost.
So, the selling price of the shoes is
\(S.P.=x+\dfrac{115}{100}x\)
\(S.P.=x+1.15x\)
\(S.P.=2.15x\)
Selling price of pair of shoes is $85.49.
\(2.15x=85.49\)
\(x=\dfrac{85.49}{2.15}\)
\(x=39.76279\)
\(x\approx 39.76\)
Therefore, the cost of shoes before markup is $39.76.
1) The equation y = 3.5x represents the relationship between 2, the number of pounds of fruit,
and y, the price.
• Which ordered pairs represent an amount of fruit and the corresponding
price in the given equation? Choose ALL that apply.
(4, 14)
(6,9.5) (8,28)
(9.5,6)
(14,4)
(28,8)
Answer:
(4,14)
Step-by-step explanation:
plug in ordered pairs for the given equation and see which one works. ordered pairs are simply (x,y) and the equation just so happens to have x and y variables. when x in the equation equals 4 then 3.5*4 is equal to 14 which is the y value of the first ordered pair. try it with the others and they don't work. is x equaled 28 then 3.5*28 is 98 and that paired y is only 8 so no. do it with all ordered pairs if you must. it's an elimination game
The ordered pairs (4, 14), and (3, 28) satisfy the equation y = 3.5x.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
The given equation for the pounds of fruits 'x' and the total cost 'y' is,
y = 3.5x.
Now, The ordered pairs that satisfy the equation can be obtained by putting the value of 'x' and checking the corresponding 'y' value.
(4, 14).
y = 3.5×4.
y = 14. (satisfies).
Similarly,
(3, 28), also satisfies the equation y = 3.5x.
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plz help me plz plz plzpzzmmx
Answer:
Maura runs faster
Is this right, if not then what is the equivalent expression of it, please make the answer easy and simple
Answer:
\(\dfrac{6x+2}5}\)
Step-by-step explanation:
The given expression is :
\(\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}\)
We need to write the equivalent expression for the above expression.
Taking like terms together,
\(=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}\)
So, the equivalent expression is \(\dfrac{6x+2}5}\).
Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease
To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.
1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.
2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.
3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.
4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.
Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.
what is the equation of the horizontal line that intersects the graph of the line y=4x+7 at x= -2?
Answer:
y = -1
Step-by-step explanation:
y = 4 · -2 + 7
y = -8 + 7
y = -1
The answer appears incorrect, please help me correct it :)
Every line on the graph is 1/2 unit.
When y = 0, x would be -0.25 and 1.25
When y = 2, x would be -0.5 and 1.5
What is the smallest 3-digit perfect square that contains the digit 7?
Answer:
729
Step-by-step explanation:
27^2 =
what is the radius of 28mm
Answer:
14mm
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
they guy up there wrong ploto
Help please! This is worth 50 points it'll mean a lot!
between 20 and 5000 characters
Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose that Y is a random variable with mean 40 and standard deviation 7. Find the mean and the variance of the random variable Z for each of the following cases. Be sure to show your work.
(a) Z = 40 - 5X
(b) Z = 15X - 20
(c) Z = X + Y
(d) Z = X - Y
(e) Z = -2X + 3Y
(a) The mean of Z in case (a) is -60 and the variance is 400.
(b) The mean of Z in case (b) is 280 and the variance is 3600.
(c) The mean of Z in case (c) is 60 and the variance is 65.
(d) The mean of Z in case (d) is -20 and the variance is 65.
(e) The mean of Z in case (e) is 80 and the variance is 505.
To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.
(a) Z = 40 - 5X
Mean of Z:
E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60
Variance of Z:
Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400
Therefore, the mean of Z in case (a) is -60 and the variance is 400.
(b) Z = 15X - 20
Mean of Z:
E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280
Variance of Z:
Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600
Therefore, the mean of Z in case (b) is 280 and the variance is 3600.
(c) Z = X + Y
Mean of Z:
E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60
Variance of Z:
Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (c) is 60 and the variance is 65.
(d) Z = X - Y
Mean of Z:
E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20
Variance of Z:
Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (d) is -20 and the variance is 65.
(e) Z = -2X + 3Y
Mean of Z:
E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80
Variance of Z:
Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505
Therefore, the mean of Z in case (e) is 80 and the variance is 505.
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A material that does not conduct heat well can be used as __________.
a heat source
b thermometer
c fuel
d insulation
a book store carries 90 magazines. 90% of the magazines are women's magazines how many men magazines does the bookstore carry?
Answer:
9 men magazines
Step-by-step explanation:
0.9 = 90%
90 magazines x 0.9 =
90 * 0.9 = 81
90 -81 = 9
9 men magazines
Answer:
the book store carries 9 male magazine
Step-by-step explanation:
all you do is divide 90 by 10% because 90% would be 81 magazines so 9x10 would be 90. I might be confusing but you just divide 90 by 10% for this question
9month to 3/2 year express the following in ratio
Answer:
1 : 2
Step-by-step explanation:
in ratios both numerator and denominator should be in same units/measurement
so 3/2 year = 3/2 * 12 months
= 3 * 6
= 18 months
ratio is 9 : 18
1 : 2
Describe the symmetry of these functions
Answer:
line symmetry & rotational symmetry
Step-by-step explanation:
First given graphs of functions are symmetric about the y-axis while the second is not symmetric about any axis.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
For example, a square with a side of 10 cm and another with a side of 20 cm both square will be similar.
Given two graph of the any function.
If we look at first graph ;
If we fold it about the y-axis then it will be overlapped so it will be symmetric about the y-axis.
Now,
In the second graph; If we want to fold two portions of this graph such that both parts can overlap each other then it is not possible so it will not symmetric about any axis.
Hence "First given graphs of functions are symmetric about the y-axis while the second is not symmetric about any axis".
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The given question has missing an image, image has been attached
Given: sin(A)=5/13, pi/2 < A < pi and tan(B)=-sqrt13, pi/2 < B < pi
What is tan(A-B)?
first off let's observer that both angles are in the range of π/2 and π, that's the same as saying both angles A and B are in the II Quadrant, mind you that on the II Quadrant the values of "x" and thus cosine is negative and the value of "y" and thus the sine is positive, yielding the tangent negative, as we can see for the tangent of angle B.
Let's find the tangent of angle A.
\(sin(A)=\cfrac{\stackrel{opposite}{5}}{\underset{hypotenuse}{13}}~\hfill \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \end{array} \\\\\\ \sqrt{c^2-b^2}=a\implies \pm\sqrt{13^2-5^2}=a\implies \pm12=a\implies \boxed{\stackrel{\textit{II~Quadrant}}{-12=a}} \\\\\\ \textit{this simply means that }tan(A)=-\cfrac{\stackrel{opposite}{5}}{\underset{adjacent}{12}}\)
now, let's check what tan(A - B) is
\(tan(\alpha - \beta) = \cfrac{tan(\alpha)- tan(\beta)}{1+ tan(\alpha)tan(\beta)} \\\\[-0.35em] ~\dotfill\\\\ tan(A-B)=\cfrac{~~ -\frac{5}{12}-(-\sqrt{13})~~}{1+\left( -\frac{5}{12} \right)(-\sqrt{13})}\implies tan(A-B)=\cfrac{~~ \frac{-5+12\sqrt{13}}{12}~~}{1+\frac{5\sqrt{13}}{12}} \\\\\\ tan(A-B)=\cfrac{~~ \frac{12\sqrt{13}-5}{12}~~}{\frac{12+5\sqrt{13}}{12}}\implies tan(A-B)=\cfrac{12\sqrt{13}-5}{12}\cdot \cfrac{12}{12+5\sqrt{13}}\)
\(tan(A-B)=\cfrac{12\sqrt{13}-5}{12+5\sqrt{13}}~\hfill \stackrel{\textit{and if we rationalize the denominator}}{\cfrac{12\sqrt{13}-5}{12+5\sqrt{13}}\cdot \cfrac{12-5\sqrt{13}}{12-5\sqrt{13}}} \\\\\\ \cfrac{144\sqrt{13}-60-780+25\sqrt{13}}{144-325}\implies \blacktriangleright \cfrac{840-169\sqrt{13}}{181} \blacktriangleleft\)
The horse racing record for a 1.50-mi track is shared by two horses: Fiddle Isle, who ran the race in 147 s on March 21, 1970, and John Henry, who ran the same distance in an equal time on March 16, 1980.What were the horses' average speeds in a) mi/s? b) mi/h?
The horses' average speeds are approximately:
(a) mi/s: 0.0102 mi/s
(b) mi/h: 58.06 mi/h
To calculate the horses' average speeds, we need to calculate the speed as distance divided by time.
We have:
Distance: 1.50 miles
Time: 147 seconds
(a) To calculate the average speed in mi/s, we divide the distance by the time:
Average speed = Distance / Time
Speed of Fiddle Isle = 1.50 miles / 147 seconds ≈ 0.0102 mi/s
Speed of John Henry = 1.50 miles / 147 seconds ≈ 0.0102 mi/s
(b) To calculate the average speed in mi/h, we need to convert the time from seconds to hours:
Average speed = Distance / Time
Since 1 hour has 3600 seconds, we can convert the time to hours:
Time in hours = 147 seconds / 3600 seconds/hour
Speed of Fiddle Isle = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h
Speed of John Henry = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h
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PLEASE HELP ASAP WILL GIVE POINTS
Find m/N.
L
N
160°
m/N= °
M
Answer: 10 degrees
Step-by-step explanation:
Since NL is a diameter, arc LM measures 20 degrees.
So, by the inscribed angle theorem, angle N measures 10 degrees.