The cost of filling the cone with popcorn is approximately $0.75.
To calculate the cost of filling the cone with popcorn, we need to determine the volume of the cone and then multiply it by the cost per cubic inch of popcorn.
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the circular base of the cone and h is the height of the cone.
Looking at the figure provided, we can see that the radius of the circular base is 3 inches and the height of the cone is 4 inches. So, plugging these values into the formula, we get:
V = (1/3)π(\(3^2\))(4)
V = 12π cubic inches
The volume of the cone, we can calculate the cost of filling it with popcorn by multiplying the volume by the cost per cubic inch. We are given that the cost of popcorn is $0.02 per cubic inch, so:
Cost = 12π x 0.02
Cost = 0.24π dollars
Cost ≈ 0.24 x 3.14 = 0.7544 dollars
The first step is to find the volume of the cone.
The formula for the volume of a cone is (1/3)πr²h, where r is the radius and h is the height.
Identify the dimensions of the cone from the figure provided. Let's assume that the radius (r) is X inches, and the height (h) is Y inches.
Substitute the values of r and h in the formula:
Volume = (1/3)π(X²)(Y)
Calculate the volume by substituting the values of X and Y (from the figure) and solving the equation. This will give you the total cubic inches of the cone.
We need to determine the cost of filling the cone with popcorn. The popcorn costs $0.02 per cubic inch. Multiply the volume (in cubic inches) by the cost per cubic inch:
Cost = Volume × $0.02
The cost of filling the cone with popcorn can be determined by first finding the volume of the cone using the given dimensions, and then multiplying the volume by the cost per cubic inch of popcorn.
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Why is this not a function? (picture attached ^)
YOU WILL GET BRAINLEST FAST!
can u solve this for me please
Answer:
-7/32
Step-by-step explanation:
Multiply,Simplify
Answer:
-1 1/3
Step-by-step explanation:
cross multiply
-3×12=-36
-8×7=-56
simplify
-4/-3
simplify
-1 1/3
Enter the number that belongs in the green box. [?] 29° 7 47° Round to the nearest hundredth.
Answer:
Solution is in the attached photo.
Step-by-step explanation:
Take note for this question we can use the Sine rule to straightaway find the unknown value.
What is the answer? 30 points and I give Brainliest :)
0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36
Answer:
.05n + .25( 35-n) = 6
Step-by-step explanation:
Add the value of each coin times the number of each coin to get the total amount
.05n + .25( 35-n) = 6
Show by parentheses that the sum of x and y is to be subtracted from 4 times the sum of x and y
Answer:
4(x+y)-(x+y)
Is that your answer
Both students made a mistake.
Describe the mistake each student made.
Explain what each student needs to do to fix their mistake.
Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using a, b, and c of your equation and giving the solutions to the equation you chose.
Answer:
true answer I'm search in Goole
The root of the quadratic equation x = -3/4\(\pm\) √-31/ 4.
What is a solution for a quadratic equation?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
Then its roots are given as
\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
Given; 2x^2 + 3x + 5 = 0
We know that a=2, b=3, c=5
\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
\(x = \dfrac{-3\pm \sqrt{3^2 - 4(2) ( 5)}}{2(2)}\\\\\\x = \dfrac{-3\pm \sqrt{9 - 40}}{4}\\\\\\x = \dfrac{-3\pm \sqrt{-31}}{4}\\\\\\x = \dfrac{-3}{4}\pm \dfrac {\sqrt{-31}}{4}\)
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Find me tax multiplier or the answers
The tax multipliers from the MPC's and MPS's are
MPC = 0.90: Tax multiplier = -9MPS = 0.20: Tax multiplier = -4MPC = 0.75: Tax multiplier = -3MPS = 0.50: Tax multiplier = -1Finding the tax multipliers from the MPC's and MPS'sFrom the question, we have the following parameters that can be used in our computation:
The MPC's and MPS's
The tax multipliers is calculated using
Tax multiplier = -MPC / (1 - MPC) or
Tax multiplier = - (1 - MPS) / MPS
Using the above as a guide, we have the following:
MPC = 0.90
Tax multiplier = -0.90/(1 - 0.90)
Tax multiplier = -9
MPS = 0.20
Tax multiplier = -(1 - 0.20)/0.20
Tax multiplier = -4
MPC = 0.75
Tax multiplier = -0.75/(1 - 0.75)
Tax multiplier = -3
MPS = 0.50
Tax multiplier = -(1 - 0.50)/0.50
Tax multiplier = -1
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What is the perimeter of rhombus wxyz? startroot 13 endroot units 12 units startroot 13 endroot units 20 units
The correct option C.4 square root 13 units; is the obtained perimeter of the rhombus WXYZ.
Define the term rhombus?It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal. This is a rhombus' fundamental characteristic. A rhombus has a diamond-shaped shape.The congruence of the sides is one of the characteristics of rhombuses.
As a result, we only need to use the distance formula to get the length with one side.
Using the distance formula, find one side as;
d = √(x₂ - x₁)² + (y₂ - y₁)²
The distance at line YZ is:
YZ = √(5 - 3)² + (5 - 2)²
YZ = √13
Perimeter = 4 x (length of one side)
Perimeter = 4 √13
Thus, the obtained perimeter of the rhombus WXYZ is 4√13 units.
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The correct question is-
What is the perimeter of rhombus wxyz?
A.square root 13 units
B.12 units
C.4 square root 13 units
D.20 units
g suppose the eigenvalues are real, distinct, and non-zero. [i] if both eigenvalues were positive, how would the equilibrium at (0, 0) be classified?
As previously stated, a system will not be stable if its eigenvalues have any non-negative real parts, the system will be unstable if an eigenvalue has no imaginary part and is equal to zero. A trivial instance of the complex eigenvalue with a zero component exists here.
When both eigenvalues are zero, what takes place?
A zero eigenvalue implies the network being referred to is particular.The null space of the matrix is based on the eigenvectors that correspond to the zero eigenvalues.
When one eigenvalue is zero, what does this mean?
If and only if A is not invertible, then the number 0 is an eigenvalue of A.
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Write the point-slope form of the equation of the line with slope 9 that passes through the point(−4, −6).
y – 6 = 9(x − 4)
x – 4 = 9(y − 6)
y + 6 = 9(x + 4)
y + 4 = 9(x + 6)
Answer:
y+6=9(x+4)
Step-by-step explanation:
point slope form is y-y1=m(X-x1)
y1 is -6
x1 is -4
And the slope or m is 9 so we can fill it in
y-(-6)=9(x-(-4))
y+6=9(x+4)
we can fill the equation out to see if it’s true
-6+6=9(-4+4)
0=9(0)
0=0
It is true
Hopes this helps please mark brainliest
Add. Write the expression in standard form. (−2f2−3f−5)+(−2f2−3f+8)
The standard form of the given expression is -4f²-6f + 3. The algebraic operation is addition.
What is an expression?
An expression, also known as an algebraic expression, is a mathematical statement made up of numbers, variables, and an arithmetic operation between them. For example, 4a - 5 is an expression in which the terms 4m and 5 are separated by the arithmetic sign - and a is the variable of the given expression.
Like terms in mathematics are summands in a sum that differ only by a numerical factor. By adding their coefficients, similar terms can be regrouped. Like terms in a polynomial expression are those that have the same variables to the same powers, but with different coefficients.
Given expression is
(-2f² -3f -5) + (-2f² -3f + 8)
Open the parenthesis:
= -2f² -3f -5 -2f² -3f + 8
Combine like terms:
= (-2f² -2f²) + (-3f -3f) +(-5+8)
= -4f² -6f -3
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Which fraction shows a correct way to set up the slope formula for the line that passes through the points (4, -6) and (-2, 1)? A. B. C. D.
{1 - (-6)}/(-2-4) fraction shows a correct way to set up the slope formula for the line that passes through the points (4, -6) and (-2, 1).
What is slope formula?
The formula for determining a line's steepness and inclination is known as the slope. The slope of the lines can be calculated from the x and y coordinates of the points along the line. To put it another way, it is the ratio of the change in the y-axis to the change in the x-axis.
The slope calculation formula is as follows;
\(m = (y^2 - y^1)/(x^2 - x^1)\)
Where,
m =slope of the line,
x1, x2= coordinates of the x-axis, and
y1, y2 = coordinates of the y-axis.
By using this formula we can get,
\((y^2 - y^1)/(x^2 - x^1)\)
= {1 - (-6)}/(-2-4)
Hence the correct answer is {1 - (-6)}/(-2-4).
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Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?
She will need 2.5 quarts.
Kim will need 2.5 quarts.
How to find the quarts she needs?
Given = 10 cups quarter
From the given data = 10/4
⇒ 2.5
The answer is 2.5 quarts.
What does 1 quart equal to in cups?
There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.
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why is x^2-8x+20 always positive?
Answer:
cause it is
Step-by-step explanation:
it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?
20. Sharon is moving up to the attic and wants to paint one wall blue The wall is a triangle with a
base of 16 feet and a height of 13 feer. What is the area of the wall to be painted
1044
104
20 ft
In this case, since the base is 16 feet and the height is 13 feet, we can calculate the area as (1/2) * 16 * 13 = 104 square feet. This means that Sharon will need to paint an area of 104 square feet on the wall.
To find the area of the wall to be painted, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height.
In this case, the base of the triangle is 16 feet and the height is 13 feet. Plugging these values into the formula, we get:
A = (1/2) * 16 * 13
A = 8 * 13
A = 104 square feet
Therefore, the area of the wall to be painted is 104 square feet.
The area of a triangle is calculated by multiplying the length of the base by the height of the triangle and dividing it by 2.
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What is the area, in square inches, of the shape below? Express your answer as a fraction in simplest form. 1/3 in 1/5 in
The area of the right-angle triangle will be 1/30 square inches.
What is the area of the right-angle triangle?The area of the right-angle triangle is given as,
\(\text{A} = \dfrac{1}{2} \times \text{B} \times \text{H}\)
Where B is the base and H is the height of the right triangle.
The height of the right-angle triangle is 1/3 inch. And the base length of the right-angle triangle is 1/5 inches. Then the area of the right-angle triangle is given as,
\(A = \huge \text(\dfrac{1}{2}\huge \text ) \times \huge \text(\dfrac{1}{3}\huge \text ) \times \huge \text(\dfrac{1}{5} \huge \text)\)
\(\text{A} = \dfrac{1}{30} \ \text{square inches}\)
The area of the right-angle triangle will be 1/30 square inches.
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If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?
Answer:
3 of the pyramids
Step-by-step explanation:
Given:
Hexagonal Prism
Hexagonal based pyramid
Required
How many of the pyramid will fill up the prism
To do this, we start by calculating the volumes of both shapes.
Let V1 be the volume of the hexagonal prism
\(V_1 = \frac{3\sqrt{3}}{2}a^2h\)
Where: a = base and h = height
Let V2 be the volume of the hexagonal based pyramid
\(V_2 = \frac{\sqrt{3}}{2}a^2h\)
Where: a = base and h = height
The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2
\(Number = \frac{V_1}{V_2}\)
\(Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h\)
Convert division to multiplication
\(Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}\)
\(Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}\)
\(Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}\)
\(Number = \frac{3*1}{1} * \frac{1}{1}\)
\(Number = 3\)
Solve the equation 5x = 85 for x.
Answer: x=17
Step-by-step explanation:
Simplifying
5x = 85
Solving
5x = 85
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x = 17
Simplifying
x = 17
The value of x in the equation is 17 .
Given,
5x = 85
Solving
5x = 85
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x = 17
Simplifying
x = 17
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HELPPP PLS !!!!!!!!!!!!!!!!!!!
Find the particular function y given that dy dx = y(x) = 7√x - 3x√x + 6, when x = 1, y = 4 (Use symbolic notation and fractions where needed.)
Given differential equation is `dy/dx = y(x) = 7√x - 3x√x + 6` and the particular point is `(1,4)`To find the particular function y(x) that satisfies the given differential equation, we need to solve the differential equation with the help of integration.
Separate the variables and integrate both sides with respect to x.∫`1/y dy =` ∫`(7√x - 3x√x + 6) dx`Taking integral, we get: `ln|y| + C = 2(√x)^3 - 3(√x)^2 + 6x + C_1` Here, C and C1 are the constants of integration.
Combining both of them we get:C2 = C1 − C where
C2 = constant of integration
= `ln|y|` − `2(√x)^3 + 3(√x)^2 − 6x`
Putting x = 1 and y = 4, we get: `ln(4) - 2 + 3 - 6 = C_2`=> `
ln(4) - 5 = C_2`
So, the required particular function is: Putting the value of `C_2` back into the equation and then simplifying it Taking antilogarithm on both sides Therefore, the particular function is: `y = ± e^(2√x(x + 3) − 5)`
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A bakery sold a total of 160 cupcakes in a day, and 104 of them were chocolate flavored. What percentage of cupcakes sold that day were chocolate flavored?
Answer:
65%
Step-by-step explanation:
HELPPPPPP ASAPPPPPP PLEASEEE
Answer:
here
Step-by-step explanation:
-3,3
2,3
3,3
4,3
I hope this helped! :D
A coin with probability p of showing up heads is tossed n times. What is the probability that the number of heads is odd
The chance you get a odd number of heads from the first coin is 1/3,
What is the probability that the number of heads is odd? The tosses of the coin are independent (neither affects the other). Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2For n≥3, if the last outcome is T, then the probability that the first (n−1)tosses do not contain two (or more consecutive heads is p n−1 and if the last outcome is H, then (n−1)th outcome must be T and the probability the first(n−2) tosses do not contain two (or more) consecutive heads is p n−2 . Hence, p n =p n−1 ×P (nth toss results in a tail)+p n−2 ×P (nth toss results in a head and (n−1)th toss results in a tail)=(1−p)p n−1+p(1−p)p n−2To learn more about probability refers to:
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Are the vectors u=[−105],v=[13−5] and w=[−1125] linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. u+v+w=0
The vectors u=[−10 5], v=[13 −5], and w=[−11 25] are linearly dependent. we can find the scalars c1, c2, and c3 that satisfy the equation u+v+w=0.
To find the scalars that satisfy the equation u+v+w=0, we need to determine a nontrivial linear combination of the vectors that equals zero.
To check for linear independence, we construct a matrix A using the given vectors as its columns. If the rank of A is less than the number of columns (in this case, 3), then the vectors are linearly dependent.
A = [u v w] = [[-10 5] [13 -5] [-11 25]]
We can row reduce the matrix A to determine its rank. After row reduction, we find that the rank of A is 2, which is less than 3. Therefore, the vectors u, v, and w are linearly dependent.
To find the scalars that satisfy the equation u+v+w=0, we can write it as a linear combination:
c1u + c2v + c3w = 0
Substituting the values of u, v, and w, we have:
c1[-10 5] + c2[13 -5] + c3[-11 25] = [0 0]
Simplifying, we get the system of equations:
-10c1 + 13c2 - 11c3 = 0
5c1 - 5c2 + 25c3 = 0
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You just removed 60,000 grams of 5.56 ammo from the stockpile of 167 kilograms. How many kilograms remain?
There are 107 kilograms of ammo remaining in the stockpile after removing 60,000 grams (or 60 kilograms) of 5.56 ammo.
To determine the remaining weight in kilograms after removing 60,000 grams of 5.56 ammo from a stockpile of 167 kilograms, we need to convert the given measurements into the same unit.
First, we convert the 60,000 grams to kilograms by dividing it by 1000 since there are 1000 grams in a kilogram:
60,000 grams ÷ 1000 = 60 kilograms
Now, we can subtract the converted weight of the removed ammo from the initial stockpile:
167 kilograms - 60 kilograms = 107 kilograms
Therefore, there are 107 kilograms of ammo remaining in the stockpile after removing 60,000 grams (or 60 kilograms) of 5.56 ammo.
It's important to note that the conversion from grams to kilograms allows us to work with the same unit of measurement and perform the subtraction accurately. Converting between different metric units is a standard practice in calculations involving weights and measurements to ensure consistency and accuracy in the results.
By subtracting the weight of the removed ammo from the initial stockpile, we determine the remaining weight in kilograms. In this case, 107 kilograms are still present in the stockpile.
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For the linear model ????(y????????)=????0 +???????? for the one-way layout, explain how H0:????1 =⋯=????c is a special case of the general linear hypothesis.
0:1 =⋯= is a special case of the general linear hypothesis, where we are testing a combination of model parameters.
The linear model ()=0 + for the one-way layout is used to describe the relationship between a response variable and a categorical explanatory variable with c levels.
Now, suppose we are interested in testing whether all the coefficients in the model are equal, that is, 1 = 2 = ... = . This is known as a composite hypothesis, where we are making a statement about a combination of model parameters. In general, we can write a linear hypothesis as:
H0: =
where is a row vector of constants and is a column vector of model parameters. In the case of the one-way layout, = [0, 1, 1, ..., 1] and = 0, which corresponds to the null hypothesis 0: 1 = 2 = ... = .
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Complete Question:
For the linear model ()=0 + for the one-way layout, explain how 0:1 =⋯= is a special case of the general linear hypothesis.
1) 27 is 3 times as many as what number?
Answer:
9
Step-by-step explanation
Its like saying 3 nine times so
3, 6, 9, 12, 15, 18, 21, 24, 27
So that is 3 nine times
Hope this help ;)
find the volume of the prism
Answer:
96ft^3 (The third option)
Step-by-step explanation:
The volume of a prism is derived by the formula length*width*height. This is also known as the base*height. The base here is 6*4, but since it's a triangle, we divide by 2 to get 12 as the base. the height is 8, so 12*8=96 ft^3. Hope this helps!
a. What is the nth fraction in the following sequence? 2
1
, 4
1
, 8
1
, 16
1
, 32
1
,… b. What is the sum of the first n of those fractions? To what number is the sum getting closer and closer? Two forces, A=80 N and B=44 N, act in opposite directions on a box, as shown in the diagram. What is the mass of the box (in kg ) if its acceleration is 4 m/s 2
?
A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.
a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`
Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`
b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)
`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)
`Simplifying:`S_n = 2*(2^n - 1)
`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.
Thus, the sum is getting closer and closer to infinity.
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carly had 18 rolls of wrapping paper
Answer:
uh huh she has 18 rolls of wrapping paper
Answer:
27
Step-by-step explanation: