The volume of a cone can be determined using the following formula:
\(V=\frac{1}{3}\pi r^2h\)We know that the height of the cone is 7cm and the diameter of the circular base is 10cm. The radius is half the diameter, so, for this cone, the radius is 5cm.
The volume can be determined as follows:
\(\begin{gathered} V=\frac{1}{3}\pi(5^2)\cdot7 \\ V=\frac{1}{3}\pi\cdot25\cdot7 \\ V=\frac{1}{3}\pi\cdot175 \\ V=\frac{175}{3}\pi \\ V\approx183.259\operatorname{cm}^3 \end{gathered}\)The approximate volume of the cone is 183cm³
The bond indenture for the 10-year, 9% debenture bonds issued January 2, 20Y5, required working capital of $100,000, a current ratio of 1.5, and a quick ratio of 1.0 at the end of each calendar year until the bonds mature. At December 31, 20Y6, the three measures were computed as follows:
$52 hundred is introduced to the December 31, 20Y6.
What is proportion?A proportion is a unit of fairness possession in the capital inventory of a corporation, and may discuss with devices of mutual funds, restrained partnerships, and actual property funding trusts. Share capital refers to all the stocks of an enterprise. The proprietor of stocks in a employer is a shareholder (or stockholder) of the corporation.
Note that proportion is an indivisible unit of capital, expressing the possession dating among the employer and the shareholder.
Given that bond indenture for the 10-year, 9% debenture bonds issued January 2, 20Y5, required working capital of $100,000, a current ratio of 1.5, and a quick ratio of 1.0 at the end of each calendar year until the bonds mature.
The profits acquired from the possession of stocks is a dividend. There are extraordinary varieties of stocks consisting of fairness stocks, bonus stocks, proper stocks, and worker inventory choice plan stocks.
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A producer wishes to determine the equilibrium price and quantity of his good in the market. He estimated the market demand and supply function as follows demand :P=q^2+13/2q+64 and supply: P= 10q^2-45/2q-164
The equilibium price is 163.39 and the supply quantity is 150
He estimated the market demand and supply function as follows demand :P=q²+13/2q+64 and supply: P= 10q²-45/2q-164
We need to find the equilibium price
The equilibrium price (EP) is the price where the demand for a product or service balances its supply. .
At equilibium price
Demand function = supply function
q²+13/2q+64 = 10q²-45/2q-164
(10 - 1)q² - (45/2 + 13/2)q - (164 + 64) = 0
9q² - 29q - 228
q = 6.895 = 6.9
The equilibium price = 6.9² + (13/2)6.9 + 64
= 163.36
similarly putting the value of q in supply function we get supply quantity ie 149.95 = 150
Therefore, the equilibium price is 163.39 and the supply quantity is 149.95 = 150
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what does x mean in math
Answer:
In math, x is a common expression of a variable :)
Step-by-step explanation:
. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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problem 1. 2/8-2/4+8/16
problem 2. 8/16-1/4+8/16
Answer:
1: 4/16 or simplified to 1/4
2: 12/16 or simplified to 3/4
Step-by-step explanation:
Hope this helps
what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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Use matrix algebra to show that if A is invertible and D satisfies ADequalsI, then Upper D equals Upper A Superscript negative 1. Choose the correct answer below. A. Left-multiply each side of the equation ADequalsI by Upper A Superscript negative 1 to obtain Upper A Superscript negative 1ADequalsUpper A Superscript negative 1I, IDequalsUpper A Superscript negative 1, and DequalsUpper A Superscript negative 1. B. Add Upper A Superscript negative 1 to both sides of the equation ADequalsI to obtain Upper A Superscript negative 1plusADequalsUpper A Superscript negative 1plusI, IDequalsUpper A Superscript negative 1, and DequalsUpper A Superscript negative 1.
Answer:
D=A^-1
Step-by-step explanation:
Given that A is invertible and matrix D satisfies AD=I
Where I is an identity matrix
D is the inverse of A
Multiply both sides of AD=I by A^-1
A^-1(.AD) =A^-1 I
A^-1 .A=I
Therefore D=A^-1
Suppose we have already saved $55 towards the cost of a new television set.
We plan to save $6 more each week for the next several weeks.
i) Write an equation for the total amount T we will have after w weeks from now.
ii) Find the total amount that would be saved after 8 weeks.
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
Somebody know this? I need halp T^T
Answer:
y=7 or 7 seven degrees Celsius.
Step-by-step explanation:
Answer:
7 degrees celsius
Step-by-step explanation:
it says -9 m so look along the x(m) axis till you get to -9. Then go 7 spaces up and its 7 degrees.
Hope this helps plz hit the crown :D
DIRECTIONS: Use this information to answer Parts A and B. −5=−y−3x Question 1 Part A Write the equation in slope-intercept form. Enter the correct equation in the box.
Slope intercept form of equation is y = -3x + 5.
What is slope intercept form of equation?The graph of the linear equation y = mx + c is a line with m as slope and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.
Given equation,
-5 = -y - 3x
Standard Slope intercept form of equation y = mx + c
Given equation can be written as
y = -3x + 5
Hence, y = -3x + 5 is the slope intercept form of given equation
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The required equation in the slope-intercept form is given as y = -3x + 5.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The equation of line passes through points (x, y) and has a slope and intercept of m and c respectively is given as,
y = mx + c
The above expression is the standard slope intercept form of a line.
Trasform the given equation,
-5 = -y - 3x
y - 5 = -3x
y = -3x + 5
Thus, the required equation in the slope-intercept form is given as y = -3x + 5.
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2a+c=162.97
how do you use the elimination method for this
When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation
To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.
The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.
In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':
2a + c = 162.97
Rearrange the equation to isolate 'c':
c = 162.97 - 2a
Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.
For example, let's say we choose 'a' = 10:
c = 162.97 - 2(10)
c = 162.97 - 20
c = 142.97
So, when 'a' is 10, 'c' is approximately 142.97.
You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.
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50 POINTS
Ron has a homeowner’s insurance policy, which covers theft, with a deductible of d dollars. Two bicycles, worth b dollars each, and some tools, worth t dollars, were stolen from his garage. If the value of the stolen items was greater than the deductible, represent the amount of money the insurance company will pay algebraically.
Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).
Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.
The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.
If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:
P = (2b + t) - d
Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).
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If a = 17, what is 18a - 89 ?
Answer: 18(a)-89=217
Step-by-step explanation:
If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.
Hope this helped.
Answer:217
Step-by-step explanation:
putting the value of a in the equation.
18×17-89= 217
What is the positive solution to the equation -22 – 3?
3
-1
-3
1
Please help
15pts
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the quadratic equations.
Since, as the question told,
=>
\( \frac{ {x}^{2} }{3} - 3 = 0\)
hence now solving we get as,
\( \frac{ {x}^{2} }{3 } = 3 \)
now, we get as,
\( {x}^{2} = 9\)
now, then
\( \sqrt{ {x}^{2} } = \sqrt{9} \)
so finally, positive value of x is 3
Rewrite the absolute value function as a piecewise function.
a
f(x) = -3x +11 – 2
-
Gloria travel a total of 8 miles to get from school to her apartment Gloria took the bus from school and then walk the remaining 880 yards home how many miles did gloria travel on the bus
Answer:
Gloria travelled 7.5 yards on the bus.
Step-by-step explanation:
8 miles is 14080 yards
14080 - 880 = 13200
13200 yards is 7.5 miles
Solve 2x² - 11x + 5 = 0.
Answer:
x=1/2, x=5
Step-by-step explanation:
2x^2-11x+5=0
Factor them
(x-0.5)(x-5)
x=0.5 or 1/2
x=5
7. Estimate the following.
a) 31% of 5900 b) 39% of 7100
Answer:
a.1829
b.2769
Step-by-step explanation:
a.31% of 5900 = 31/100×5900 = 31 ×59 = 1829
b.39% of 7100 = 39/100×7100 = 39×71 =2769
Slope of a line that passes through each pair of points E (4,0) , F (5,5)
Answer:
5Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\\)
From the question we have
\(m = \frac{5 - 0}{5 - 4} = \frac{5}{1} = 5 \\ \)
We have the final answer as
5Hope this helps you
Go Q 7x12 7
what is it?
Answer:
7*12= 84
Step-by-step explanation:
Hope this helps.
First correct answer gets brainliest
Given a line with slope = -4 and y-int= (0, 5), write the equation of the line.
Writing the equation algebraically.
Answer:
\(y=-4x+5\)
Step-by-step explanation:
The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Which value of c is in the domain of f(x)
The value of c in the domain of f(x) depends on the specific function f(x) and its domain.
In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.
If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.
In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.
Thus, the domain of a square root function is restricted to non-negative values.
In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.
Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.
For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.
Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.
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Question
Marc is building a gazebo and wants to brace each
corner by placing a 8-inch wooden bracket
diagonally as shown. How far below the corner
should he fasten the bracket if he wants the
distances from the corner to each end of the
bracket to be equal?
(Round to the nearest tenth of an inch.)
The required distance from the corner to each end of the bracket is 5.7 inches.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Since the distance from the corner to each end is equal.
So ABC make an isosceles right triangle, where
AB = x inches
AC = x inches
BC = 8 inches
According to the Pythagoras theorem, we have
AB² + AC² = BC²
x² + x² = 8²
2x² = 64
x² = 64/2
x² = 32
x = √32
x = 5.668
Round to the nearest tenth, and we get
x = 5.7
Thus, the distance from the corner to each end is 5.7 inches.
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How many triangles can you make with 60,60,60 degrees? how do you know?
Answer:
3 triangles can be make with 60,60,60 degrees.
Choose the best multiple choice option below! Thanks in advance!
Answer:
Q5. D, Q6. D, Q9. B.--------------------
Question 5The range of the given function has one restriction, its denominator can't be zero, hence:
3x + 4 ≠ 0 ⇒ 3x ≠ - 4 ⇒ x ≠ - 4/3Therefore the function can get any value but zero:
y ≠ 0The matching answer choice is D.
Question 6Linear function is f(x) = mx + b.
Reciprocal of a function f(x) is 1/f(x).
So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).
The only answer choice in same form is D.
Question 9Substitute x = - 5/3 into function to get:
\(f(x)=\cfrac{1}{3*(-5/3)+5} =\cfrac{1}{-5+5} =\cfrac{1}{0}\)This is undefined value, therefore it represents the vertical asymptote.
The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).
Therefore the correct choice is B.
The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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What is the sum of the factors?
Two factors of -48 have a difference of 19. The factor
with a greater absolute value is positive.
-19
-13
13
16
Answer:
13
Step-by-step explanation:
The two factors 16 and -3.
Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
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What multiply by 90 gives you 1.8
Answer:
0.02
Step-by-step explanation:
90 multiplied by 0.02 is 1.8