The volume of the funnel to the nearest cubic centimeter is 38.
The given funnel is in the shape of cone, so volume of cone gives the volume of funnel. The formula of volume of the cone is as follows:
\(V=\frac{1}{3} \pi r^{2} h\)
Where r is the radius and h is the height of the cone and π=3.14.
The funnel is in the shape of cone with height 9 centimeter and diameter 4 centimeter.
Radius of cone \(=\frac{4}{2} =2 c m\)
Now, putting the value of h, r and π in the formula of volume of cone,
\(V=\frac{1}{3} \pi r^{2} h\\\\V=\frac{1}{3} \times 3.14\times 2^{2}\times 9\\\\V=37.68\)
Approximating to nearest cubic centimeter, we get
\(V\approx38cm^3\)
Hence, the volume of the funnel with diameter 4 centimeter and height 9 centimeter is 38 cubic centimeter.
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Question is on picture
Answer:
the answer is A
Step-by-step explanation:
HURRY PLS 15 MINS LEFT!!
Answer:
y is less than or equal to 2/3x + 1/5
Step-by-step explanation:
PLS help in this questions. Thanks !
Answer:
D
Step-by-step explanation:
You are given the two sides and the abgle inbetween.
A point on the ocean floor is 7,842 m below sea level.
Express this elevation as an integer.
The elevation as an integer is □m
Answer:
-7842 meters
Step-by-step explanation:
Since the point is below sea level, it is negative
-7842 meters
sin 56°45' is closest to
A 0.8334
B 0.8363
C 0.7071
The value of sin is 56°45' which is the very closest to 0.8363. Option B is correct.
For finding the value of sin 56°45', we use trigonometric tables or a calculator for computing the answer
Transfigure the given angle to decimal form, and we get:
56°45' = \(56+\frac{45}{60}\)= 56.75°
Then by using a calculator or trigonometric tables for computing, we find the value of sin 56.75 degrees. So, the closest value to sin 56.75° is approximately 0.8363.
So, the correct answer is 0.8363.
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Which of the following export pricing strategy does NOT consider fixed costs in setting price for export? a. Flexible cost-plus method b. Incremental pricing c. Standard worldwide price d. Rigid cost-plus method
b. Incremental pricing is correct answer.
Incremental pricing is a pricing strategy that focuses on covering only the variable costs associated with exporting a product. It does not take into account fixed costs such as overhead expenses or other costs that are not directly related to the production and export of the product.
On the other hand, the other options mentioned do consider fixed costs in setting the price for export:
a. Flexible cost-plus method: This method considers both variable costs and fixed costs, and adds a markup or profit margin to determine the export price.
c. Standard worldwide price: This strategy sets a uniform price for the product across different markets, taking into account both variable and fixed costs.
d. Rigid cost-plus method: Similar to the flexible cost-plus method, this approach includes both variable and fixed costs in setting the price for export.
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select the expression that shows the distributive property applied to 5(6 + 8)
A.5 ⋅ 6 + 8
B.5 ⋅ 6 + 6 ⋅ 8
C.5 ⋅ 6 + 5 ⋅ 8
D.5(8+6)
urgent
What werror did Tracy make
Answer:
26
Step-by-step explanation:
For a centroid there is a 2:1 ratio for AG:GF and for BG:GD. Because BG is 40, GD is 20, so x is 2. Using that information, you can solve for AG. 19(2)+14, which is 52. This means that GF is 52/2 = 26.
Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
Answer:
The statement that is true about the given equation is that it has no solution. This can be seen by rearranging the terms on both sides of the equation and then solving for y. When we do this, we get:
3(-y + 7) = 3(y + 5) + 6
-3y + 21 = 3y + 15 + 6
-6y = -12
y = 2
However, when we substitute this value of y back into the original equation, we find that it does not satisfy the equation. This means that there is no value of y that can make the equation true, so the equation has no solution.
Step-by-step explanation:
What is the image of the point (7,-5) after a rotation of 270° counterclockwise
about the origin?
Answer:
(-5, -7)
Step-by-step explanation:
if you rotate the point by 270 degrees counterclockwise, you get (5,-7) and I'm guessing image is another way to say reflection so after it is reflected then the point would be (-5,-7)
Determine if the relation is a function. Explain and
justify your answer.
By looking at the table, you can see that we have an x
that is paired with two different y's so this does not fit the
definition of a function which states that each x must
be paired with exactly one y.
the height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included. which is closest to the total surface area of the new box?
The total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7).
How to calculate the new total surface area of the box?To calculate the new total surface area of the box after increasing the height by 3.5 centimeters, we need to consider the dimensions of the box and how each side is affected by the increase.
Let's assume the original box has dimensions:
Length (L)
Width (W)
Height (H)
The total surface area of the original box is given by:
SA_original = 2(LW + LH + WH)
After increasing the height by 3.5 centimeters, the new height becomes H + 3.5. The other dimensions, length and width, remain the same.
The new total surface area of the box can be calculated as follows:
SA_new = 2(LW + (L(H + 3.5)) + (W(H + 3.5)))
Simplifying the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
Therefore, the total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
To find the closest value to the total surface area of the new box, you would need to know the specific values of L, W, and H for the original box. With those values, you can substitute them into the equation to calculate the exact surface area.
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if alpha and beta are zeroes of x2-3x+q. what is the value of q, if 2 alpha+3 beta=15
The value of q is -27.
Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.
In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.
We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.
Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.
Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.
Combine like terms: 15 - beta = 6.
Subtract 15 from both sides: -beta = -9.
Multiply both sides by -1 to solve for beta: beta = 9.
Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.
Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.
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Find symmetric equations for the line of intersection of the planes.
5x−2y−2z=1,4x+y+z=6.
The line of intersection between two planes can be represented by symmetric equations. In this case, the symmetric equations for the line of intersection are:
x = 0
y = -c
z = c
To find the symmetric equations for the line of intersection,
first we set up a system of equations using the normal vectors of the planes.
The normal vector of Plane 1 is [5, -2, -2].
The normal vector of Plane 2 is [4, 1, 1].
Let's call the direction vector of the line of intersection "d = [a, b, c]".
Next, we set up a system of equations using the dot product between the direction vector and the normal vectors of the planes.
For Plane 1: [5, -2, -2] ⋅ [a, b, c] = 0
For Plane 2: [4, 1, 1] ⋅ [a, b, c] = 0
Simplifying these equations, we have:
5a - 2b - 2c = 0
4a + b + c = 0
Solving the system of equations,
Multiplying the second equation by 2, we get:
8a + 2b + 2c = 0
Adding this equation to the first equation, we eliminate b and c:
13a = 0
a = 0
Substituting a = 0 back into the second equation, we find:
0 + b + c = 0
b + c = 0
b = -c
Therefore, the direction vector of the line of intersection is d = [0, -c, c], where c can be any real number.
Then, write the symmetric equations for the line of intersection.
We can choose a point on the line of intersection as the origin, which gives us the point (0, 0, 0).
Thus, the symmetric equations for the line of intersection are given below:
x = 0, y = -c, z = c
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To find the missing value?
Answer:
To fine the missing value JUST transpose
___ -(-5) = -7 {- * - = +}
___ +5 = -7
___ = -7-5
___= -12
so the missing place is -12
Answer:
-12
Step-by-step explanation:
Evaluate the expression for y = 3 and z = 3.5.
(2z + 7) ÷ y
Answer:
4 2/3 or 14/3
Step-by-step explanation:
(2z + 7) / y
2(3.5) = 7
(7 + 7) / 3
14 / 3
Hope this helped!
Answer: 4.666666666666667
Step-by-step explanation: z=3.5x2=7 (7+7)÷3=4.666666666666667
y=3
1. Consider the data set: 24 32 33 37 49 35 31 (a) Calculate the mean, median and IQR (b) Check for outliers using the 1.5(IQR) rule, and indicate which data points are outliers. (c) Remove any outliers and recalculate the mean, median, IQR. If there are no outliers, then you can say "answer same as (a)" (d) Suppose you (statistician) are to help your collaborators (non-statistician) to decide whether to remove the outliers (if any) or not in their final report. They claim that the data that appear to be outliers based on the above descriptive statistics probably have some crucial meanings given their prior knowledge. What would you suggest to them?
Retain outliers based on collaborators' prior knowledge and their claim of crucial meanings for the data.
(a) For the given data set: 24, 32, 33, 37, 49, 35, 31, the mean can be calculated by summing all the values and dividing by the total number of data points: (24 + 32 + 33 + 37 + 49 + 35 + 31) / 7 = 35. The median is the middle value when the data set is arranged in ascending order, which is 33. To calculate the interquartile range (IQR), we need to find the 25th and 75th percentiles. Arranging the data set in ascending order: 24, 31, 32, 33, 35, 37, 49. The 25th percentile is (31 + 32) / 2 = 31.5, and the 75th percentile is (35 + 37) / 2 = 36.5. Therefore, the IQR is 36.5 - 31.5 = 5.
(b) To check for outliers using the 1.5(IQR) rule, we calculate the lower and upper bounds. The lower bound is Q1 - 1.5(IQR) = 31.5 - 1.5(5) = 24, and the upper bound is Q3 + 1.5(IQR) = 36.5 + 1.5(5) = 49. Any data point that falls below the lower bound or above the upper bound is considered an outlier. In this data set, there are no outliers.
(c) Since there are no outliers, the mean, median, and IQR remain the same as calculated in part (a).
(d) Considering the collaborators' claim that the data points appearing as outliers may hold crucial meanings based on their prior knowledge, it is recommended to retain the outliers in the final report. Outliers can provide valuable insights and may represent unique or significant observations within the given context. It is important to consider domain-specific knowledge and the collaborators' expertise when making decisions about outlier treatment, as they may have valid explanations or meaningful interpretations for the observed data points.
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What value of c makes the equation true?
let's solve your equation step-by - step
-3-3/4(c-4)=5/4
Step 1: simplify both sides of the equation.
-3-3/4(c-4)=5/4
-3+-3/4 c+3=5/4 (distribute)
(-3/4 c)+(-3+3)=5/4 (combine like terms)
-3/4c=5/4
-3/4 c =5/4
Step 2: Multiply both sides by 4/(-3)
(4/-3)*(-3/4 c)=(4/-3)*(5/4)
Answer:c=-5/3
Answer:
\(-\frac{5}{3}\)
Step-by-step explanation:
Hi there !
\(-3-\frac{3}{4}(c-4)=\frac{5}{4}\\ \\-3-\frac{3c}{4}+3=\frac{5}{4}\\ \\-\frac{3c}{4}=\frac{5}{4}\\ \\-3c=5\\\\3c=-5\\\\c=-\frac{5}{3}\)
Good luck !
The base is an equilateral triangle with an area of 6 square inches. the height of the pyramid is 15 inches. The height of the pyramid is 15 inches. what is the volume?
Answer:
V = 30 in³
Step-by-step explanation:
the volume (V) of a pyramid is calculated as
V = \(\frac{1}{3}\) × B × h ( B is the area of the base and h the height ) , then
V = \(\frac{1}{3}\) × 6 × 15 = 2 × 15 = 30 in³
Answer:
The volume of the pyramid is 30 inches cube.
How to find the volume of a pyramid?The base of the pyramid is an equilateral triangle with an area of 6 inches². The height of the pyramid is 15 inches.
Therefore, the volume of the pyramid can be calculated as follows:
volume of the pyramid = 1 / 3 BH
where
B = base area
H = height of the pyramid
Therefore,
B = 6 inches²
H = 15 inches
Hence,
volume of the pyramid = 1 / 3 × 6 × 15
volume of the pyramid = 1 / 3 × 90
Therefore,
volume of the pyramid = 30 inches³
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Step-by-step explanation:
31.95 divided by 36.05
round answer in 2 decimal places
Answer:
0.89
Step-by-step explanation:
31.95 is about 32
36.05 is about 36
32/36 is 0.888...
rounded is 0.89
Answer:
.89
Step-by-step explanation:
Write the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
The quadratic equation will be; 3x² + 6x + 9
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that roots are x = -3 and x = - 1, and whose leading coefficient is 3.
The factors are; (x + 3) and (x + 1)
f(x) = a(x + 3)(x + 1)
As, a = 3.
Then we get;
f(x) = 3(x + 3)(x + 1)
= 3(x² + 2x + 3)
= 3x² + 6x + 9
The quadratic equation will be; 3x² + 6x + 9
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the price of a toy usually costing £50 to £65 work out the percentage increase FAST!!
Answer:
50 * 1.3 = 65
130% increase
Simplify this expression 3x +2a +5x +4a
Answer: 8x + 6a
Step-by-step explanation: Combine your "x" terms and your "a" terms.
So 3x + 5x is 8x and 2a + 4a is 6a.
So the answer is 8x + 6a.
consider this series. 16+24+36+54+... does the series converge or diverge? select answers from the drop-down menus to correctly complete the statement
The series 16+24+36+54+... diverges.
Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.
The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.
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i F 49x ²b = (7x +1/2)(7x-1/2)
then Find the value b.
Answer:
0
Step-by-step explanation:
Apply Only the Outside and Inside Method of the Foil Method.
\(7 \times - \frac{1}{2} = - 3.5x\)
\( \frac{1}{2} \times 7x = 3.5x\)
Add them together
\( - 3.5x + 3.5x = 0\)
So our b value is 0.
2x
3x
(x + 12)
(2x + 4)
Sum of angle measures: 360
Answer:
the value of x is 43....
I am a 2-dimensional shape with all my sides of equal length.
I have an angle sum of 180 degrees.
What am I?
Answer:
=> Equilateral Triangle
Step-by-step explanation:
Equilateral Triangle is having 2-d shape with all equal sides and the sum of angles of any triangle is 180° .
Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?
Answer:use a calculator
Step-by-step explanation:
The unit rate for a proportional relationship is y = 6x.
The proportional relationship, can be find by the formula,
y = kx.........................1
Where,
X- position at X- cordinate= 1
Y - position at Y- coordinate = 6
k - constant of proportionality
put the values in the equation,
6 = k1
k = 6
Put the value of k into equation 1,
y = 6x
Therefore, the unit rate for a proportional relationship is y = 6x.
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5. What's the sum of 3/8 and 1/16
Answer:
7/16
Step-by-step explanation:
3/8=6/16
6/16 + 1/16 = 7/16
Select ALL number sets to which the value square root of 9 belongs.