CAN SOMEONE HELP ME WITH NUMBER 9!!!
Gary used candle molds, as shown below, to make candles that were perfect cylinders and spheres: A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 4 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 2 inches. What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14.
16.75 cubic inches
20.93 cubic inches
24.25 cubic inches
33.49 cubic inches
Find three positive numbers x, y, and z that satisfy the given conditions. the sum is 180 and the product is maximum.
Simplify: 6/3-y -2/y
Write the function in vertex form, and identify its vertex. g(x) = 5x2 - 50x + 128
In the triangle below, what is the side opposite the 30 degree angle
The volume of a cube is found using the formula l3, where l is the side length. What is the volume of a cube, in cubic feet that is 3/5 of a foot long
What is the difference between rational functions and inverse variation
Rational functions are functions that can be written as the ratio of two polynomial functions, while inverse variations are a type of rational function where the product of two varying quantities is a constant.
Explanation:A rational function is any function that can be written as the ratio of two polynomial functions. Both the numerator and the denominator are polynomials. For example, f(x) = (2x^2 + 3)/(x - 5) is a rational function where 2x^2 + 3 and x - 5 are polynomial functions.
On the other hand, an inverse variation, or inverse proportion, is a specific type of rational function where the product of two varying quantities is a constant. It is in the form of y = k/x, where k is a nonzero constant. For example, if y varies inversely as x, then the product of x and y is constant, which means xy = k.
To summarize, all inverse variations are rational functions since they can be expressed as a ratio of two polynomials. However, not all rational functions are inverse variations since not all can be written in the form y = k/x.
Learn more about Rational Functions and Inverse Variation here:https://brainly.com/question/4521029
#SPJ2
Help me Please!! Ive got a deadline!! Thanks! (:
When a ball is dropped from a state of rest at time t=0t=0, the distance, measured in feet, that it has traveled after tt seconds is given by the formula s(t)=16t2s(t)=16t2 . (use decimal notation. if necessary, give your answer rounded to two decimal places.) (a) how far does the ball travel during the time interval [3, 3.5 ]? distance = .5 feet (b) compute the average velocity over the time interval [3, 3.5 ]. average velocity = 104 feet/sec (c) by computing the average velocity over the time intervals [3, 3.1 ], [3, 3.01 ], and [3, 3.001 ], . . . , estimate the ball's instantaneous velocity at t=3t=3. instantaneous velocity = feet/sec?
Part A. To solve for the distance travelled during the interval, all we have to do is to plug in values of t = 3 and t = 3.5 in the equation and the difference would be the answer:
when t = 3: s = 16 (3)^2 = 144 m
when t = 3.5: s = 16 (3.5)^2 = 196 m
Therefore the distance travelled within the interval is:
196 m – 144 m = 52 m
Part B. The velocity is calculated by taking the 1st derivative of the equation. v = ds / dt
s = 16 t^2
ds / dt = 32 t = v
when t = 3: v = 32 (3) = 96 m / s
when t = 3.5: v = 32 (3.5) = 112 m / s
Therefore the average velocity is:
(96 + 112) /2 = 104 m / s
Part C. We can still use the formula v = 32 t and plug in the value of t = 3
v = 32 t = 32 (3)
v = 96 m / s
To calculate the distance and velocities for the ball in question, we use the formula s(t)=16t^2, calculate differences, and use limits as the intervals approach an instant.
Explanation:The formula s(t)=16t2 gives the distance s(t) in feet that a ball has traveled after t seconds when dropped from a state of rest. To find the distance during the time interval [3,3.5], we calculate s(3.5) and s(3), and then find the difference: s(3.5) = 16 × (3.5)2 and s(3) = 16 × (3)2.
The average velocity over the interval [3,3.5] is the change in distance divided by the change in time, which is computed as ∆ s/ ∆ t.
For the instantaneous velocity at t=3, we compute the average velocities over smaller and smaller intervals approaching the instant t=3. As these intervals become smaller, the average velocity approaches the instantaneous velocity.
A bus travels at an average speed of 65 miles per housr. how many miles foes the bus travel in 4.5 hours?
Dr. Black is standing 15 feet from the streetlamp. The lamp is making his shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50°. To the nearest foot, the streetlamp is about _______
Super-yummy soup, inc. wants to paint their entire soup can red, including the top and bottom. if the diameter of the lid is 5 cm, and the height of the can is 9 cm, what is the approximate total surface area that will need to be painted?
The total surface area of the soup can would be equivalent to the sum of the surface area of the 2 covers plus the surface area of the side.
Surface area of the 2 covers = 2 π r^2
Surface area of the 2 covers = 2 π (2.5 cm)^2
Surface area of the 2 covers = 39.27 cm^2
Surface area of the side = 2 π r h
Surface area of the side = 2 π (2.5 cm) (9 cm)
Surface area of the side = 141.37 cm^2
Total surface area = 39.27 cm^2 + 141.37 cm^2
Total surface area = 180.64 cm^2
What impact does negative rational numbers have on whether you add or subtract rational numbers
If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?
1
2
4
16
Find the vertex, focus, directrix, and focal width of the parabola.
negative 1 divided by 12 times x squared = y
The number of bees that visit a plant is 500 times the number of years the plant is alive where t represents the number of years the plant is alive. What does the expression 500t represent
What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?
Final answer:
The value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1) is -2. This is determined by simplifying and solving the given expression for n.
Explanation:
To find the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1), we need to simplify and solve for n. First, we distribute the negative sign and the 4 into the parentheses and then combine like terms:
-2n - 4 + 6 = -9 + 8n + 4
Now, we combine the constants:
-2n + 2 = -5 + 8n
To isolate n, we move all the terms involving n to one side and the constants to the other:
-2n - 8n = -5 - 2
-10n = -7
Finally, we divide by -10 to solve for n:
n = ⅔
Thus, the value of n is -2.
If a single card is selected from a standard deck of 52 cards, what are the odds in favor of selecting an ace
How many ounces of a 35% alcohol solution must be mixed with 10ounces of 40% alcohol solution to make a 37% alcohol solution?
School taxes for a local district are 2.5% of a households income if you ears 80,000 peryear how much do you pay in school taxes
Final answer:
To calculate school taxes for a household earning an annual income of $80,000 at a tax rate of 2.5%, multiply the income by the rate. The household would pay $2,000 in school taxes.
Explanation:
If a household earns an annual income of $80,000 and the school taxes are 2.5% of the income, the amount paid in school taxes can be calculated by multiplying the income by the tax rate. Here's the calculation:
Tax Amount = Income × Tax Rate
Tax Amount = $80,000 × 0.025
Tax Amount = $2,000
Therefore, a household that earns $80,000 per year would pay $2,000 in school taxes.
If two opposite sides of a quadrilateral are parallel and congruent then the quadrilateral is a parallelogram true or false
The number of bagels sold daily for two bakeries is shown in the table.
Bakery A Bakery B
15 15
52 16
51 34
33 35
57 12
12 9
45 36
46 17
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below
It's better to describe the center of distribution in Bakery A using the mean because the data is symmetric, while for Bakery B, the median is preferred due to asymmetric data.
To determine whether it's better to describe the centers of distribution in terms of the mean or the median for each bakery, we need to consider the shape of the data distribution.
For Bakery A:
- The data appears to be relatively symmetric, with values ranging from 34 to 61.
- There are no extreme outliers that significantly skew the data.
For Bakery B:
- The data is not symmetric; there is a wide range of values from 10 to 57.
- There is a notable outlier (10) that is much lower than the rest of the data.
Given these observations:
- For Bakery A, since the data is symmetric and there are no significant outliers, the mean (average) would be an appropriate measure of the center.
- For Bakery B, because the distribution is not symmetric and there is a significant outlier, the median (middle value) would be a more robust measure of the center.
So, the correct answer is:
C) Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric.
Complete Question:
The number of bagels sold daily for two bakeries is shown in the table:
Bakery A 45 52 51 48 61 34 55 46
Bakery B 48 42 25 45 57 10 43 46
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
A) Mean for both bakeries because the data is symmetric
B) Median because the distribution is not symmetric for both bakeries
C) Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric
D) Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
The correct answer is B): Median because the distribution is not symmetric for both bakeries.
Let's first calculate the mean and median for each bakery:
Bakery A:
Data: 45, 52, 51, 48, 61, 34, 55, 46
Mean (average):
[tex]\[ \text{Mean} = \frac{45 + 52 + 51 + 48 + 61 + 34 + 55 + 46}{8} = \frac{392}{8} = 49 \][/tex]
Median (middle value):
Arrange the data in ascending order: 34, 45, 46, 48, 51, 52, 55, 61
[tex]\[ \text{Median} = \frac{48 + 51}{2} = 49.5 \][/tex]
For Bakery A, the mean is 49 and the median is 49.5. The median (49.5) is slightly higher than the mean (49), indicating a slight right skew in the data.
Bakery B:
Data: 48, 42, 25, 45, 57, 10, 43, 46
Mean (average):
[tex]\[ \text{Mean} = \frac{48 + 42 + 25 + 45 + 57 + 10 + 43 + 46}{8} = \frac{316}{8} = 39.5 \][/tex]
Median (middle value):
Arrange the data in ascending order: 10, 25, 42, 43, 45, 46, 48, 57
[tex]\[ \text{Median} = \frac{43 + 45}{2} = 44 \][/tex]
For Bakery B, the mean is 39.5 and the median is 44. The mean (39.5) is lower than the median (44), indicating a left skew in the data.
Bakery A: The median (49.5) is slightly higher than the mean (49), suggesting a slight right skew. Given this slight skewness, the median might be a better measure of central tendency for Bakery A.
Bakery B: The mean (39.5) is noticeably lower than the median (44), indicating a left skew. Therefore, the median would likely be a better measure of central tendency for Bakery B.
Based on this analysis, the correct answer is B): Median because the distribution is not symmetric for both bakeries.
Complete Question:
The number of bagels sold daily for two bakeries is shown in the table:
Bakery A 45 52 51 48 61 34 55 46
Bakery B 48 42 25 45 57 10 43 46
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
A) Mean for both bakeries because the data is symmetric
B) Median because the distribution is not symmetric for both bakeries
C) Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric
D) Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
In physics, if a moving object has a starting position at s 0, an initial velocity of v 0, and a constant acceleration a, then the position S at any time t > 0 is given by:
S = at 2 + v 0 t + s 0.
Solve for the acceleration, a, in terms of the other variables. For this assessment item, you can use ^ to show exponents and type your answer in the answer box, or you may choose to write your answer on paper and upload it.
Step-by-step explanation:
The equation of a moving object in physics is given by :
[tex]s=at^2+v_ot+s_o[/tex]...........(1)
Where
s₀ is the starting position of an object
a is the acceleration of the object
v₀ is the initial velocity of the object
t is the time taken
We need to find the value of acceleration by rearranging equation (1). Subtract [tex](v_ot+s_o)[/tex] on both sides of equation (1) as :
[tex]s-v_ot-s_o=at^2[/tex]
Divide both sides of above equation by t² as :
[tex]a=\dfrac{s-v_ot-s_o}{t^2}[/tex]
So, the value of acceleration is [tex]\dfrac{s-v_ot-s_o}{t^2}[/tex]. Hence, this is the required solution.
simplify (2/9)^3
A. 8/729
B. 6/9
C. 2/729
D. 8/9
No guessing please
The perimeter of a rectangular painting is 332 centimeters. if the length of the painting is 92 centimeters, what is its width?
The reciprocal is also called the _____.
a) multiplicative identity
b) multiplicative inverse
Answer:
multiplicative inverse
Step-by-step explanation:
hope it helps
He sum of three consecutive odd integers is −375. find the three integers.
-375/3 = -125
-125-2 =-127
-125+2 = -123
-123 + -125 + -127 = -375
You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
Bruce had an EKG to measure his heartbeat rate. After conversion, the function produced could be modeled by a cosine function, and the wave produced a maximum of 4, minimum of −2, and period of pi over 2. Which of the following functions could represent Bruce's EKG read-out?
f(x) = 4 cos pi over 2x − 2
f(x) = 3 cos 4x + 1
f(x) = 3 cos pi over 2x + 1
f(x) = 4 cos 4x − 2
Answer:
Option B.
Step-by-step explanation:
Bruce had an EKG to measure his heartbeat rate. After conversion, the function produced was modeled by a cosine function.
Now we will form this function.
Function will be in the form of f(x) = a cos(Bx) + d
Amplitude [tex]a=\frac{Maximum-minimum}{2}[/tex]
[tex]a=\frac{4+2}{2}=3[/tex]
Period = π/2
And [tex]Period=\frac{2\pi }{B}[/tex]
⇒[tex]\frac{\pi }{2}=\frac{2\pi }{B}[/tex]
⇒ B = 4
Since minimum is (-2) and maximum is (4), means cosine graph was shifted upwards.
Mid line of the graph is [tex]x=\frac{4+2}{2}=3[/tex] which shows graph is shifted by one unit above the x-axis.
Now the function we get is f(x) = 3 cos4x + 1
Therefore option B is the answer.
the lines shown below are perpendicular. if the green line has a slope of 3/4, what is the slope of the red line
a)4/3
b)-3/4
c)-4/3
d) 3/4
The slope of the red line is -4/3. Therefore, option C is the correct answer.
Given that, the green line has a slope of 3/4.
We need to find the slope of the red line.
What is the formula to find the slope of the perpendicular line?The formula for the slope of perpendicular lines is m1.m2 = -1. The product of the slopes of perpendicular lines is equal to -1.
Since, m1=3/4.
Now, 3/4.m2 = -1
⇒m2 =-4/3
The slope of the red line is -4/3. Therefore, option C is the correct answer.
To learn more about the slope visit:
https://brainly.com/question/3605446.
#SPJ2