!!!!HELP ASAP!!!! 100 Points!!!
Ben went to the ice-cream shop and purchased one scoop of rocky road ice-cream (shaped like a cylinder) on a sugar cone (shaped like a cone). The diameter of the scoop was 2.5 in. and the height was 4.25 in. What is the exact volume of the composite figure (the scoop of ice-cream atop a sugar cone) rounded to the nearest hundreth?
Answers
Answer:
Step-by-step explanation:
To find the volume of the composite figure, we need to find the volumes of the half-sphere and the cylinder separately, and then add them together.
The volume of the half-sphere is given by the formula:
V_half_sphere = (2/3)πr^3
where r is the radius of the half-sphere. In this case, the radius is 3 cm, so we have:
V_half_sphere = (2/3)π(3)^3
V_half_sphere = (2/3)π(27)
V_half_sphere = 18π
The volume of the cylinder is given by the formula:
V_cylinder = πr^2h
where r is the radius of the base of the cylinder, h is the height of the cylinder. In this case, the radius is 3 cm and the height is 10 cm, so we have:
V_cylinder = π(3)^2(10)
V_cylinder = 90π
To find the volume of the composite figure, we add the volumes of the half-sphere and the cylinder:
V_composite = V_half_sphere + V_cylinder
V_composite = 18π + 90π
V_composite = 108π
Therefore, the exact volume of the composite figure is 108π cubic centimeters.
Related Questions
Factor the following expression using the GCF: 10ab + 20.5(2 ab + 4)10( ab + 2)10( ab + 20)2(5 ab + 10)
Answers
ANSWER
\(10(ab+2)\)EXPLANATION
We want to factor the given expression using the greatest common factor.
To do this, we have to factor out common terms in the terms given in the expression. The two terms in the expression are divisible by 10.
Hence, we can factor the expression as follows:
\(10(ab+2)\)The expression has been factored using GCF.
a boy gains 8 marks out of 10 what percentage is this
Answers
It is 80%
8 divied by 10 is 0.8. Which is 80%
Answer:
8 out of 10 is the same thing as saying \(\frac{8}{10}\) so it would be 80%
Step-by-step explanation:
8 ÷ 10 = 0.8 = 80%
ava has 3 gallons of paint equally into 8 cans. how many gallons of paint will there b3 in each can
Answers
Mr. Johnson gives five tests during the marking period. If Ralph needs a 65 average to pass this marking period and his first four grades are 60, 72, 55, and 80, then what is the lowest score he
can earn on the last test to have a passing
average?
A. 58
B. 65
C. 76
D. 80
Answers
Answer:
58
Step-by-step explanation:
60+72+55+80=267
267+58=325
325/5=65
Find the mean of the data in the pictograph below.
Answers
Answer:
3 i think..
Step-by-step explanation:
lol i just added and then multiplied then divided..
Triangle ghi is rotated 90degrees clockwise and then reflected over the y-axis. which congruency statement is true? on a coordinate plane, triangle g h i is rotated 90 degrees clockwise and then is reflected over the y-axis.
Answers
The exact positions of the new vertices after rotation and reflection would depend on the original coordinates of G, H, and I.
After rotating triangle GHI 90 degrees clockwise and reflecting it over the y-axis, we can determine the congruency statement.
When a triangle is rotated 90 degrees clockwise, its vertices change their positions. In this case, vertex G would move to a new position, vertex H would move to the position of G, and vertex I would move to the position of H.
After that, when the triangle is reflected over the y-axis, the x-coordinates of the vertices change their signs. So, the congruency statement would be as follows:
Triangle GHI, after rotating 90 degrees clockwise and reflecting over the y-axis, is congruent to triangle G'H'I', where G' corresponds to the new position of G after the rotation and reflection, H' corresponds to the new position of H, and I' corresponds to the new position of I after the rotation and reflection.
Note that the exact positions of the new vertices after rotation and reflection would depend on the original coordinates of G, H, and I.
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What are the roots of g(x)=(x−1)(x+3) ?
Answers
Explanation: the roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve the x
Answer:
1 and 3
Step-by-step explanation:
( x - 1 ) ( x - 3 ) = 0
x - 1 = 0
x = 1
x - 3 = 0
x = 3
The roots are 1 and 3.
Simplify 12¹⁶/12⁴ .
Answers
\(12^{12}\)
subtract 4 from 16.
which of the following values are solutions to the inequality 4≥2-4x
I. -4 II. -1 III. -2
Answers
Step-by-step explanation:
4≥2-4x
2-4x≤4
-4x ≤ 4-2
-4x ≤ 2
x ≥ 2/(-4)
x ≥ -½
A) Find equations of the following. y = x^2 − z^2, (10, 19, 9)
(I) the tangent plane
(II) the normal line (x(t), y(t), z(t))
B) Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 9^exyz, (0, 0, 9)
(I) the tangent plane
(II) the normal line (x(t), y(t), z(t))
Answers
A)The equation of the tangent plane is: z = 9 - 18(x-10) + 38(y-19)the equation of the normal line is: x(t) = 10 - 20t , y(t) = 19 + 38t, z(t) = 9 + 18t
B) the equation of the tangent plane is: z = 9 The equation of the normal line is: x(t) = 0 + t, y(t) = 0 + t, z(t) = 9 + (1-81e^81)t
A)
I) The equation of the tangent plane to the surface y = x^2 − z^2 at the point (10, 19, 9) is given by:
z = z0 + (∂z/∂x)(x−x0) + (∂z/∂y)(y−y0)
where x0 = 10, y0 = 19, z0 = 9, ∂z/∂x = -2z0 = -18, and ∂z/∂y = 2y0 = 38. Therefore, the equation of the tangent plane is:
z = 9 - 18(x-10) + 38(y-19)
II) The normal line to the surface y = x^2 − z^2 at the point (10, 19, 9) is given by the direction of the gradient vector ∇f(x, y, z) evaluated at that point.
The gradient of the surface is given by ∇f(x, y, z) = <∂f/∂x, ∂f/∂y, ∂f/∂z> where f(x, y, z) = y - x^2 + z^2.
Evaluating this gradient vector at the point (10, 19, 9), we get ∇f(10, 19, 9) = <-20, 38, 18>. Therefore, the equation of the normal line is:
x(t) = 10 - 20t
y(t) = 19 + 38t
z(t) = 9 + 18t
B)
I) The equation of the tangent plane to the surface x + y + z = 9^exyz at the point (0, 0, 9) is given by:
z = z0 + (∂z/∂x)(x−x0) + (∂z/∂y)(y−y0)
where x0 = 0, y0 = 0, z0 = 9, ∂z/∂x = ye^(xyz) = 0, and ∂z/∂y = xe^(xyz) = 0. Therefore, the equation of the tangent plane is:
z = 9
II) The normal line to the surface x + y + z = 9^exyz at the point (0, 0, 9) is given by the direction of the gradient vector ∇f(x, y, z) evaluated at that point.
The gradient of the surface is given by ∇f(x, y, z) = <∂f/∂x, ∂f/∂y, ∂f/∂z> where f(x, y, z) = x + y + z - 9^exyz.
Evaluating this gradient vector at the point (0, 0, 9), we get ∇f(0, 0, 9) = <1, 1, 1-81e^81>. Therefore, the equation of the normal line is:
x(t) = 0 + t
y(t) = 0 + t
z(t) = 9 + (1-81e^81)t
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A sphere has a volume of V = 1764 in. Find its surface area.
Answers
Answer:
The surface area is 706.02
Step-by-step explanation:
SA = 224.4pi (704.62)
Alternatively (706.02 without rounding)
First, we need to find the radius of the sphere with the following equation
\(r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49\)(pi as 3.14)
Now we can find the surface area using the following equation
\(SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\\)
Solve the equation.
y + 3 = -y + 9
O y=1
O y=3
ооо
y = 6
y=9
Answers
Answer:
3
Step-by-step explanation:
y+3=-y+9
Move -y to the left and move +3 to the right and change the + into a -
y+y=-3+9
Calculate
2y=6
Divide both members by 2
y=3
Zero lift occurs at what angle of attack for positive camber airfoil?
0 deg
a negative Angle of Attack
a positive Angle of Attack
CL max
Answers
Zero lift angle of attack for a positive camber airfoil
Zero lift occurs at a negative angle of attack for a positive camber airfoil.
Here's the explanation:
The angle of attack is the angle between the relative wind direction and the chord line of an airfoil. The lift generated by an airfoil is dependent on the angle of attack. To produce lift, an airfoil must have a positive angle of attack. When the angle of attack is increased, the lift increases up to a certain point where it reaches the maximum value known as CL max. When the angle of attack is further increased, the lift decreases and eventually reaches zero. At this angle of attack, the airfoil is producing zero lift and it is known as the zero-lift angle of attack. The zero-lift angle of attack varies for different airfoils. For a positive camber airfoil, the zero-lift angle of attack is typically around zero degrees. This means that the airfoil will not produce any lift at zero degrees angle of attack. When the angle of attack is increased, the lift will start to increase until it reaches the maximum value at CL max. A negative angle of attack will produce a negative lift, which is also known as downforce. This is useful for certain applications like race cars or airplanes that require high-speed stability. However, for most applications, the positive lift is desired in order to produce lift and generate enough force to keep the aircraft or vehicle in the air.
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the mayor of a town has proposed a plan for the annexation of an adjoining community. a political study took a sample of 800 voters in the town and found that 60% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 55% . testing at the 0.01 level, is there enough evidence to support the strategist's claim?
Answers
The political strategist wants to test the claim that the percentage of residents who favor annexation is more than 55%.
The sample size is 800 voters in the town and 60% of the residents favored annexation.
In order to test the claim, a hypothesis test can be conducted. The null hypothesis (H0) would be that the percentage of residents who favor annexation is 55% or less. The alternative hypothesis (Ha) would be that the percentage of residents who favor annexation is more than 55%.
Using a significance level of 0.01, the critical value for the test is 2.33 (based on a one-tailed test with 799 degrees of freedom). The test statistic can be calculated as follows: z = (0.6 - 0.55) / sqrt((0.55 * 0.45) / 800) = 3.06, Since the test statistic (3.06) is greater than the critical value (2.33),
there is enough evidence to reject the null hypothesis and support the alternative hypothesis that the percentage of residents who favor annexation is more than 55%. Therefore, it can be concluded that the political strategist's claim is supported by the data.
Hypothesis:
- Null hypothesis (H0): The proportion of residents favoring annexation is 55% (p = 0.55)
- Alternative hypothesis (H1): The proportion of residents favoring annexation is more than 55% (p > 0.55), We will use a one-sample z-test for proportions, with a significance level of 0.01.
Given data:
- Sample size (n): 800 voters
- Proportion of residents favoring annexation in the sample: 60% (0.60).
Test statistic calculation: - z = (sample proportion - assumed proportion) / standard error
- Standard error = sqrt[(p * (1 - p)) / n]
- In this case, p = 0.55 (assumed proportion) and n = 800 (sample size).
Find the z-score and compare it to the critical value at the 0.01 significance level (z-critical = 2.33 for a one-tailed test). If the calculated z-score is greater than the critical value,
we reject the null hypothesis, supporting the strategist's claim that more than 55% of residents favor annexation.
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Moving to another question will save this response. Question 11 In forecasting, the mean absolute deviation (MAD) is used to: O a. Create the systematic component of the forecast. O b. Create the random component of the forecast. O c. Both of the above.
Answers
The MAD plays a crucial role in both understanding and assessing both the systematic and random components of a forecast.
In forecasting, the mean absolute deviation (MAD) is used to measure the accuracy of a forecast by quantifying the average magnitude of forecast errors. The MAD calculates the average absolute difference between the forecasted values and the actual values. Option (c) "Both of the above" is the correct answer. The MAD serves two important purposes in forecasting: Creating the systematic component of the forecast: The MAD helps evaluate the systematic or bias component of the forecast. If the MAD is consistently high, it indicates a systematic bias in the forecast, suggesting the need for adjustments or improvements in the forecasting method.
Creating the random component of the forecast: The MAD also captures the random or unpredictable component of the forecast. It measures the dispersion or variability of forecast errors, reflecting the degree of volatility or randomness in the forecast accuracy. Therefore, the MAD plays a crucial role in both understanding and assessing both the systematic and random components of a forecast.
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Find slop for each line
8x-4y=16
Answers
Answer:
y=2x-4
Step-by-step explanation:
slope=mx+b
8x-4y=16
-4y=-8x+16
-4y/-4=y
(-8x+16)/-4=2x-4
y=2x-4
Hope this helps! :)
One side of a rectangle has length 4. Another side has length 6+7. What expression represents the area of the rectangle? 4×6+4×7 4×6 4×7 4×6×7.
A. 4×6×7
B. 4×6
C. 4×6+4×7
D. 4×7
Answers
Answer:
C
Step-by-step explanation:
So area is length times width for the rectangle and your length is 4 and your width is 6+7, if you do 4 times 6+7 you will get 52. If you want to be sure you can go down the answer options and do them until you find one that equals 52 which in this case is C.
4 x (6+7) = area
(in case you need the equation)
Plz help me with these questions
Answers
Answer:
The one you picked
Step by Step explanation
The interest rate, r, is sometimes referred to as the discount rate. Calculating the present value of a future cash flow to determine its worth is commonly called discount cash flow valuation.
Answers
The interest rate, or r, is often referred to as the discount rate because it is used to discount future cash flows to their present value.
This means that if we have a future cash flow, we can use the discount rate to calculate what that cash flow is worth today. This is commonly called discount cash flow valuation.
Discounting future cash flows means calculating their present value, which allows us to determine the worth of those cash flows today. This process is commonly called discount cash flow valuation because it helps us understand the value of future cash flows in the present, considering the time value of money and potential risks associated with those cash flows.
By using the discount rate, we can make better financial decisions and compare investment options with different time horizons and cash flow profiles.
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The nth term of a sequence is 25-3n work out the first three terms of the sequence
Answers
Answer:
22, 19, 16
Step-by-step explanation:
25-3n
The nth term is given, simply put n as 1, 2, 3 to find the first three terms.
25-3(1)
=25-3
=22
25-3(2)
=25-6
=19
25-3(3)
=25-9
=16
Answer:
22,19,16
Step-by-step explanation:
1) 25-3(1)=22
2) 25-3(2)=19
3) 25-3(3)=16
Sixteen laboratory animals were fed a special diet from birth through age 12 weeks. Their weight gains (in grams) were as follows: 63 68 79 65 64 63 65 64 76 74 66 66 67 73 69 76 Can we conclude from these data that the diet results in a mean weight gain of less than 70 grams? Let a = .05, and find the р value.
Answers
The equation 3²x¹ = 3ˣ⁵ can be solved using the laws of exponents. :It's given that
3²x¹ = 3ˣ⁵
Rewriting both sides of the equation with the same base value 3, we get3² × 3¹ = 3⁵Using the laws of exponents:We can write 3
² × 3¹ as 3²⁺¹= 3³
We can write 3⁵ as 3³ × 3²
Therefore
,3³ = 3³ × 3²x = 2
We can solve the above equation by canceling 3³ on both sides. The solution is x = 2.
Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers. The process of merging two or more numbers is known as addition in mathematics.
You would add numbers in a variety of circumstances. Combining two or more numbers is the foundation of addition. You can learn the fundamentals of addition if you can count.
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b) The diameter of a circular coin is 1:14 cm. How many coins of the same size are required to place in a Straight row to cover 19.1 m distance?
Answers
Answer:
It will take about 1675 whole 1.14 cm coins to make a straight row of 19.1 m distance
Step-by-step explanation:
1 meter = 100 cm
19.1 meter x 100 = 1910 cm
Divide the total distance by the width of a coin.
1910 cm / 1.14 cm = 1675.43
Round up. It would take 1,676 coins
Which fraction does not belong?
- 8/12
- 6/12
- 2/3
- 4/6
Which one AND why?
Answers
Answer:
6/12
Step-by-step explanation:
all of the other 3 equal 8/12
As part of their government class, Maddie and Ryan had to log volunteer hours in their community. Ryan volunteered for one more than three times the number of hours that Maddie did. Altogether, they volunteered in their community for 45 hours, how many hours did Ryan volunteer?
Answers
Answer:
Step-by-step explanation:
Maddie = y
Ryan = x
One more than means to (add 1)
Three times means to (multiply by 3)
Maddie worked for y hours
Ryan worked for
* x hours
* three times the number of hours that Maddie did
x = 3y
one more than
x = 3y + 1
Altogether
x + y = 45 hours
(3y +1) + y = 45
3y + y = 45-1
4y = 44
y= 44/4
y =11
Ryan hours (x)
x = 3y + 1
x= 3(11) + 1
x =33+ 1
x=34
Maddie hours (y)
y=11
x + y= 45
34+11= 45
Ryan: 34 hours
Maddie: 11 hours
A sprinkler that sprays water in a circular area can spray up to a radius of 22ft what is the maximum area of lawn that can be watered by the sprinkler use 3.14 to approximate date for Pie enter your answer as a decimal rounded to the nearest tenth in the Box
[ ] ft^2
Answers
To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:
A = πr^2
Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:
A = 3.14 * (22)^2
A ≈ 3.14 * 484
A ≈ 1519.76
Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
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identify the congruent criteria (mcqs)
pls answer all of them
Answers
6. ASA
7. SAS
8. ASA
9. ASA
if z is a standard normal random variable, what is the probability that z is between -2.4 and 0.4?
Answers
The probability that a standard normal random variable z is between -2.4 and 0.4 is approximately 0.6472.
To find the probability that a standard normal random variable z is between -2.4 and 0.4, we can follow these steps:
Step 1: Look up the cumulative probability corresponding to -2.4 in the standard normal distribution table. The cumulative probability at -2.4 is approximately 0.0082.
Step 2: Look up the cumulative probability corresponding to 0.4 in the standard normal distribution table. The cumulative probability at 0.4 is approximately 0.6554.
Step 3: Subtract the cumulative probability at -2.4 from the cumulative probability at 0.4 to find the probability between the two values:
P(-2.4 < z < 0.4) = 0.6554 - 0.0082
= 0.6472.
Therefore, The probability that z is between -2.4 and 0.4, when z is a standard normal random variable, is approximately 0.6472. This means that there is a 64.72% chance that a randomly selected value from a standard normal distribution falls within the range of -2.4 to 0.4.
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A company that makes hair-care products had 5,000 people try a new shampoo. Of the 5,000 people, 10 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Write the percent proportion.
10
5,000=
pls hurry
Answers
\(\\ \sf\Rrightarrow \dfrac{10}{5000}\times 100\)
\(\\ \sf\Rrightarrow \dfrac{2}{1000}\)
\(\\ \sf\Rrightarrow 0.002\%\)
HELP!!!!! what is the axis of symmetry for the graph of y-4x=7-x^2
A.x=2
B.y=2
C.x=11
D.y=11
Answers
From what I tried it could be right try it
Question 3 The sales and finance team of a car company is evaluating a new proposed luxury model of its brand that will require an investment of $1Billion in a new machine for car interior decoration. Demand for the company’s car is expected to begin at 100,000 units in year 1, with 10% annual growth thereafter. Production cost will be $35,000 per unit in the first year, and increase by a rate of either 3% or 5% per year as a result of wage increase. Selling price will start at $37,000 and increase by 4% of the production cost. The model will be phased out at the end of year 10. In addition, 0.3%, 2% and 1.5% of before tax profit per year will be spent on social corporate responsibility, commercial (including promotions) and recalls respectively. Assume taxes will be 30% of yearly profit and that inflation will remain at 0% per year throughout the 10 year of production. Also assume interest rate is expected to be 3% per year in the first 5 years and 5% in the last 5 years. a. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 3% per year as a result of wage increase? Justify your answer. (15 marks) b. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 5% per year as a result of wage increase? Justify your answer.
Answers
Answer:
I really want points because I'm struggling with a lot of homework