Lateral surface area of the cone given in the figure is 156π inches².
Given a cone.
Height of the cone = h
Radius of the cone, r = 12 inches
Slant height of the cone, l = 13 inches
The formula to find the lateral surface area of the cone is given by,
Lateral surface area of a cone = πrl
Here r is the radius and l is the slant height.
Substituting,
Lateral surface area = π (12) (13)
= 156π
Hence the lateral surface area is 156π inches².
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Y-interested y=-10x+4
The equation \(y = -10x + 4\) describes a linear relationship between x and y, with a y-intercept of 4 and a negative slope of -10.
The equation \(y = -10x + 4\) represents a linear function in slope-intercept form, where the coefficient of x is -10 and the y-intercept is 4.
The y-intercept is the value of y when x is 0, which in this case is 4.
It means that the graph of this equation will intersect the y-axis at the point (0, 4).
The slope of -10 indicates that for every unit increase in x, y will decrease by 10 units.
This negative slope means that the line will slope downwards from left to right on a coordinate plane.
By analyzing the equation, we can determine that the line is relatively steep due to the magnitude of the slope.
It indicates a rapid change in y with respect to x.
The equation \(y = -10x + 4\) describes a linear relationship between x and y, with a y-intercept of 4 and a negative slope of -10.
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Convert: 24 yards = _____ feet
72 feet
48 feet
76 feet
8 feet
Answer:
24 yards = 72 feet
Step-by-step explanation:
3 feet per yard
24 x 3 = 72
Plsss help ASAP I DONT have time..
Answer:
No they are not
Step-by-step explanation:
(What grade level is this?)
What is the probability that a class of 50 has an average midterm mark that is less than 75?
The probability that a class of 50 has an average midterm mark that is less than 75 is value=0
Average is the mathematics mean, and is calculated by means of adding a group of numbers and then dividing with the aid of the count of these numbers. for instance, the average of 2, three, three, five, 7, and 10 is 30 divided with the aid of 6, that is five.
The common is described as the implied value that is identical to the ratio of the sum of the number of a given set of values to the whole wide variety of values gift within the set.
There are three primary sorts of common: imply, median, and mode. each of those techniques works slightly differently and frequency effects in barely specific regular values. The suggestion is the maximum normally used average. To get the suggested fee, you add up all of the values and divide this total by using the number of values.
The probability that a class of 50 has an average midterm mark that is less than 75
n = 50
P(<75)=P(Z<75)
P(Z<75−786√50)
P(Z<−3.5355)
We will look for the value in the StandardNormal able. We will get the value=0
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the point of tangency are :
Answer:
R and Z
Step-by-step explanation:
A point that "touches" the circle once.
A rectangle has a width of 2xy3 and a length of 4x5y6. What is the area of the rectangle?
Answer:
6x²5y²6 cm²
Step-by-step explanation:
(2xy3) x (4x5y6)
(2x) x (4x) = 6x²
(y) x (5y) =5y²
6x²5y²6 cm²
What is 5 to the square root of 1/2?
Answer:
the answer is 2.5 hope it helps
Answer:
2.5
Step-by-step explanation:
a card is drawn randomly from a standard 52-card deck. find the probability of the given event. (a) the card drawn is 3 the probability is : (b) the card drawn is a face card (jack, queen, or king) the probability is : (c) the card drawn is not a face card. the probability is :
A card is drawn randomly from a standard 52-card deck. then the probabilities are a) 1/13 b) 3/13 and c) 10/13
There are four 3's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 3. This means that the probability will be:
p = 4/52
p= 1/13
b.
For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:
4*3 =12
The total possible cards are, still, 52, so, the probability will be
p= 12/52
p=3/13
c.
We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face card its:
p=52/52
p=1
so
p( the card is a face card ) + p( the card is not a face card) =1
but, we know that
p( the card is a face card ) =3/13
so
p( the card is not a face card) =1- 3/13
= 10/13
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i will love uu forever if uu answer dis for me
Answer:
the answer is 2...........jpjpjp ion knowwwwwwwww
Step-by-step explanation:
A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Let w denote the width of the base. Find a function in the variable w giving the cost C (in dollars) of constructing the box. C(w) = Find the derivative of C. C'(w) = Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)
The cost function is C(w) = 300/w + 18w² and the cost of materials for the cheapest such container is $222.0
The function for constructing the cost of the boxFrom the question, we have the following parameters that can be used in our computation:
The length is twice the width;
Volume = 10m³
This means that:
V = 10
l = 2w
The volume of the container is calculated as:
V = lwh
So, we have
v = 2w²h
By substitution, we have
h = v/2w²
So, we have
h = 10/2w²
Divide
h = 5/w²
The surface area of an open rectangular storage is:
A = 2h(l + w) + lw
So, we have
A = 2h(2w + w) + 2w²
A = 2h(3w) + 2w²
Substitute h = 5/w²
A = 2 * 5/w² * (3w) + 2w²
Evaluate
A = 20/w + 2w²
The base costs $15, and the sides cost $9
So, the cost function is:
C(w) = 15 * 20/w + 2w² * 9
Rewrite as:
C(w) = 300/w + 18w²
The least cost of the materialsWe have
C(w) = 300/w + 18w²
Differentiate
C'(w) = -300/w² + 36w
Set to 0
-300/w² + 36w = 0
Rewrite as:
-36w = -300/w²
Cancel out the negatives
36w = 300/w²
Multiply through by ²
36w³ = 300
Divide through by 36
w³ = 8.33
Take cube roots of both sides
w = 2.03
Recall that:
C(w) = 300/w + 18w²
So, we have:
C(2.03) = 300/2.03 + 18(2.03)²
Evaluate
C(2.03) = 222.0
Hence, the cost of the materials is $222.0
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max is a function that expects two int parameters and returns the value of the larger one.
Two variables , population1 and population2, have already been defined and associated with intvalues.
Write an expression (not a statement!) whose value is the larger of population1 andpopulation2 by calling max.
max(population1, population2)
The larger of population1 and population2 by calling max.
max(population1, population2)
Since the function max returns a large integer among two integers, max(population1,population2) will give us the large one among population1 and population2. Now if we compare that value with population2 using another max, then that will provide us with the large among maximum (population1,population2) i.e it will be the largest among these three variables.
Therefore the required expression will be:
max(population1,population2).
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36/6=
I need help ASAP
Answer:
What?
Step-by-step explanation:
Are you trying to divide?
Answer:
6
Step-by-step explanation:
Divide 36 into 6 equal parts. 36/6=6
show your work i need it
The expression representing the width of the garden is given as follows:
6w + 2.
An equivalent expression is given as follows:
2(3w + 1).
How to obtain the expression?The width of the rectangle is represented as follows:
w.
Six times the width of the rectangle is represented as follows:
6w.
Two feet plus six times the width of the rectangle is represented as follows:
6w + 2.
6 = 2 x 3, hence the simplified expression can be given as follows:
2(3w + 1).
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2. Determine whether this series converges or diverges. Identify the series test you use. 31 +1 61 n=1
The series diverges and the nth term test is used to identify the divergence.
It looks like there is a typo in the series.
The series should have a common difference between terms.
Assuming that the series is:
31 + 61 + 91 + ... + (30n+1)
We can use the nth term test to determine the convergence of the
series.
The nth term of the series is given by:
an = 30n + 1
As n goes to infinity, the dominant term in the nth term expression is
30n.
Therefore, the series diverges since the nth term does not approach
zero.
Hence, the series diverges and the nth term test is used to identify the
divergence.
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A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29.a) trueb) false
Complete question :
A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29
a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.
b. Does the value 3.29 represent the population parameter or the sample statistic?
Answer:
True ; population parameter
Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.
B.) population parameter
Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.
Same statistic represents estimates derived from a sample (subset of the entire population).
Simplify the expression.
Answer:
h^21
Step-by-step explanation:
answer
h^21 your welcome
write the largest open interval on which f is the antiderivative for f.
The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.
To give you a general idea of how to approach this problem, follow these steps:
1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.
If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.
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Create a new brush to work with a drawing tablet. Give it a size of , adjust the Size Jitter to , adjust the Angle Jitter to in the Shape Dynamics, and name it TabletBrush
The TabletBrush, a cutting-edge brush designed specifically for drawing tablets. With a size of [insert desired size], this brush offers unparalleled precision and control for your digital artwork.
The Size Jitter feature allows you to add variation to your brush strokes, creating organic and natural-looking lines. Adjust the Size Jitter setting to your preferred level, giving your artwork a unique touch. Additionally, the Angle Jitter feature adds an element of randomness to the brush strokes, enabling you to achieve dynamic and expressive effects. Experiment with different Angle Jitter settings to create captivating compositions. The TabletBrush is a powerful tool that empowers artists to unleash their creativity and bring their imaginations to life. Elevate your digital artwork to new heights with the TabletBrush, your ultimate companion for artistic endeavors.For such more questions on brush
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(Helppppp)In a right ABC side AB is hypotenuse.
AB=14cm. BC=10cm.
Find what angle is bigger A or B.
Show two ways to solve this problem.
Answer:
To find which angle is bigger, A or B, we can use trigonometric ratios or the Pythagorean theorem.
Method 1: Trigonometric ratios
We can use the trigonometric ratios of sine and cosine to find the values of sin A and sin B, and then compare them to see which angle is bigger.
sin A = BC/AB = 10/14 = 0.714
sin B = AC/AB = √(AB^2 - BC^2)/AB = √(196 - 100)/14 = √96/14 = 0.707
cos A = AC/AB = √(AB^2 - BC^2)/AB = √(196 - 100)/14 = √96/14 = 0.707
cos B = BC/AB = 10/14 = 0.714
Since sin A > sin B and cos A < cos B, we can conclude that angle A is bigger than angle B.
Method 2: Pythagorean theorem
We can use the Pythagorean theorem to find the length of AC, and then use the ratios of the sides to find the values of sin A and sin B.
AC^2 = AB^2 - BC^2 = 196 - 100 = 96
AC = √96 = 9.8 cm
sin A = BC/AB = 10/14 = 0.714
sin B = AC/AB = 9.8/14 = 0.7
Since sin A > sin B, we can conclude that angle A is bigger than angle B.
a country uses as currency coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos. find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters
when we pay n pesos, then recurrence relation for all the number are in a ways to pay a bill is in this order:\(a_{n} =a_{n-1}+a_{n-2}+2a_{n-5}+2a_{n-10}+ a_{n-20}+a_{n-50}+a_{n-100}\)
A recurrence relation is an equation which represents a chain primarily based totally on a few rule. It enables in locating the following time period (subsequent time period) established upon the previous time period (preceding time period). If we recognise the preceding time period in a given series, then we will without difficulty decide the following time period.
Recurrence family members are used to lessen complex issues to an iterative procedure primarily based totally on less difficult variations of the trouble. An instance trouble wherein this technique may be used is the Tower of Hanoi puzzle. Recurrent is some thing that happens frequently or repeatedly. However, in case you are speakme approximately a recurrence relation, then you definitely have a mathematical shape which you are handling and it's miles really specific than a recursive formula. Recursion is the repeated use of a process or action.
pay 1 pesos coin , then n-1 pesos
pay 2 pesos coin , then n-2 pesos if n ≥ 2
pay 5 pesos coin , then n-5 pesos if n ≥ 5
pay 10 pesos coin , then n-10 pesos if n ≥ 10
pay 5 pesos bill , then n-5 pesos if n ≥ 5
pay 10 pesos bill , then n-10 pesos if n ≥ 10
pay 20 pesos bill , then n-20 pesos if n ≥ 20
pay 50 pesos bill , then n-50 pesos if n ≥ 50
pay 100 pesos bill , then n-100 pesos if n ≥ 100
a0=1
so i have recurrence relation as follows:
\(a_{n} =a_{n-1}+a_{n-2}+2a_{n-5}+2a_{n-10}+ a_{n-20}+a_{n-50}+a_{n-100}\)
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. Shelby, Brandon, and Ling shared the cost
of their spring break trip to the bean in the ratio of 2:53. Altogether the trip cost $250. What
was Ling's share of the trip? (How much did Ling pay?)"
Answer:
$75
Step-by-step explanation:
Assuming your ratio is 2:5:3 instead of 2:53,
Ling paid 3/10(250) which is $75
Based on the relation in the table above, write a function equation that relates the total cost in rent C and the number of months m.
Step-by-step explanation:
A 62.0 kg person in
a rollercoaster moves 29.2 m/s
at the bottom of a curved track
of radius 33.7 m. What is the normal
force acting on the person?
(Unit = N)
What are the x-intercepts of y = 4x^2 + 4x + 1?
Answer:
hope this helps:) have a good day
Answer:
-1/2 is the x vertex.
Step-by-step explanation:
(y = ax^2 + bx + c),
-(b)/2(a)
-(4)/2(4)
-4/8 = -1/2
-1/2 is x
i need help on this math problem
The value of h, g, y and x are 20,18, 11 and 2 respectively
QuadrilateralsQuadrilaterals are shapes with 4 sides an angles. A parallelogram is a quadrilateral with equal opposite sides.
From the given diagram, the diagonals bisects each other such that;
10) h - 8 =12
h = 12 + 8
h = 20
Similarly;
g+7 = 15
g = 15 - 7
g = 8
11) For the other diagram
2y+9 = 27
2y = 27 - 9
2y = 22
y = 22/2
y = 11
Similarly;
3x + 6 = 12
3x = 6
x = 2
Hence the value of h, g, y and x are 20,18, 11 and 2 respectively
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Tiffany has taken out a loan with a stated interest rate of 8.145%. how much greater will tiffany’s effective interest rate be if the interest is compounded weekly than if it is compounded semiannually? a. 0.3340 percentage points b. 0.1659 percentage points c. 0.1681 percentage points d. 0.1234 percentage points please select the best answer from the choices provided a b c d
Tiffany's effective interest is compounded weekly is 0.1604% greater than the compounded semiannually.
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Given,
The interest rate i= 8.145%
Number of weeks in an year n= 52
We know,
Effective interest rate =\((1+\frac{i}{n})^{n}-1\)
Substitute the values
\(R_{1}=(1+\frac{0.08145}{52})^{52}-1\\ R_{1}= 0.084789\)
Case 2
Compounded semiannually
\(R_{2}=(1+\frac{0.08145}{2})^{2}-1\\ R_{2}=0.083108\)
The difference is
\(R_{1}-R_{2}= 0.084789-0.083185\)
=0.001604
=0.1604%
Hence, the Tiffany's effective interest is compounded weekly is 0.1604% greater than the compounded semiannually
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Sue and oliver share £160 in the ratio 3:5
Work out how much more oliver get conpared to cue.
Answer:
£40
Step-by-step explanation:
3+5=8
160÷8= 20
20× 5=100
20×3=60
100-60=40
Answer:
£40
Step-by-step explanation:
160 shared between 3:5
3 + 5 = 8 (parts)
160 ÷ 8 = 20
20 = 1 part
Sue has 3 parts; (20 x 3) = £60
Oliver has 5 parts; (20 x 5) = £100
Work out how much more oliver get conpared to sue
oliver has £100, sue has £60
£100 - £60 = £40
oliver has £40 compared to sue
Drag each number to the correct location in the ordered pairs. each number can be used more than once, but not all numbers will be used. point a is located at (7, 4). point a is reflected across the x-axis to give point b. point b is reflected across the y-axis to give point c. drag numbers to show the correct coordinate pairs for point b and point c. 3 0 -7 7 -4 4 -3
The correct coordinate pairs for point b is (-7,4) and c is (-7,-4).
What are coordinate pairs?It is a pair of objects. The objects that appears in the pair are significant. It is also called as two-tuples or the sequences of length. It refers to the two variables are linked together individually in the population to determine the correlation between them. It refers to a pair of two numbers that are written inside the brackets and those are separated with a comma. It represents a point in coordinate geometry. It represents an element of relation in set theory. It is a set of numbers that tell us where to find the point on a coordinate plane. It is a composition of an x-coordinate and y-coordinate. It is a combination of both the numbers and variables. It refers to the number that are written in a certain order. It is used to show the position of a graph.
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Please help!! Will mark brainlyest.
Answer:
Answer:
47
Step-by-step explanation:
a)
a^2 + b^2 = c^2
33^2+33^2=c^2
2178=c^2
c=(nearest is 47)
b)
If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse. sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.
Step-by-step explanation:
Write an algorithm to solve the problem with long division. Answer in at least 3 complete sentences.
Answer:
1) Divide; 2) Multiply; 3) Subtract; 4) Drop down the next digit. Of these steps, #2 and #3 can become difficult and confusing to students
Step-by-step explanation:
Toronto is a city at the border of the United States and Canada, just north of Buffalo, New York. Here are twelve guesses of the average temperature of Toronto, in degrees Celsius, in February 2017.
Answer:
Step-by-step explanation:
Seattle is a seaport city on the West Coast of the United States. It is the seat of King County, Washington. With a 2020 population of 737,015.