The volume of the ball bearing, which is a sphere, would be approximately 8.18 cm³. This is calculated using the formula for the volume of a sphere and the given diameter, which is halved to get the radius for the calculation
Explanation:The volume of a sphere can be calculated using the formula V = 4/3 * π * r³, where r is the radius of the sphere. In this case, the diameter of the ball bearing is 2.5 cm, so the radius would be half of that (diameter/2), which is 1.25 cm. Substituting the radius value to the volume formula, we get: V = 4/3 * π * (1.25cm)³ = 4/3 * 3.14 * 1.95cm³ = approximately 8.18 cm³, rounded to the nearest hundredth.
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The radius of a circle is estimated to be 14 inches, with a maximum error in measurement of ±0.08 inches. Use differentials to
estimate the maximum error in calculating the area of the circle using this estimate.
The maximum error in the area of a circle with an estimated radius of 14 inches and a measurement error of "+/-0.08 inches" can be calculated using differentials as approximately 7.03 inches².
To estimate the maximum error in calculating the area of a circle with a radius of approximately 14 inches (with a measurement error of "+/-0.08 inches"), we can use differentials. The formula for the area of a circle is A =
^(2), where π is a constant (approximately 3.14159). The differential dA, which represents the change in area, is given by dA = 2πr * dr, where dr is the change in radius.
With an error in radius measurement of"+/-0.08 inches", we have dr = 0.08 inches. Therefore, the error in the area, referenced as dA, can be calculated as:
dA = 2 * π * 14 inches * 0.08 inches
This gives dA ≈ 2 * 3.14159 * 14 * 0.08 inches², which can be calculated to determine the maximum error in the area.
After performing the calculation, we find that the maximum error in the area of the circle is about 7.03 inches².
For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc(x) have vertical asymptotes?
For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = cot(x) have vertical asymptotes? ...?
Answer:
coincides with
Step-by-step explanation:
just got it right on edg
Vertical asymptotes at x = {-2π, -π, 0, π, 2π}
Given: [tex]y=csc(x)[/tex]
To find : For what values of x , it has vertical asymptotes.
Explanation:
A given function will have vertical asymptotes when its denominator becomes equal to zero.
We know that, [tex]csc(x)=\frac{1}{sin x}[/tex]
So, [tex]Sin(x)=0[/tex] will give vertical asymptotes
x = {-2π, -π, 0, π, 2π}
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what is 34 47+4788×63÷799-69°08 (839+578)=
Find three ratios equivalent to the ratio 3 to 4
at the flower shop, there are 5 times as many roses as sunflowers. if there are 252 roses and sunflowers altogether, how many roses are there? how many sunflowers are there?
A triangular pyramid has ___ flat faces
Esmeralda likes to listen to music while she works out. She had a playlist in her MP3 player that lasted 40 mintues but she accidentally deleted 25 percent of the music. Does Esmeralda have enough music on her playlist for a 30 mintues workout? Explain your answer.
Esmeralda deleted 10 minutes of music from her 40-minute playlist. With the remaining 30 minutes of music, she has enough for a 30-minute workout.
Explanation:To determine if Esmeralda has enough music on her playlist for a 30 minute workout, we need to calculate how much music she has remaining after deleting 25%.
Let's start by finding 25% of the original music duration. To do this, we multiply the original duration (40 minutes) by 0.25:
25% of 40 minutes = 40 minutes * 0.25 = 10 minutes
Therefore, Esmeralda deleted 10 minutes of music.
To find out how much music she has left, we subtract the deleted music from the original duration:
Remaining music = Original duration - Deleted music = 40 minutes - 10 minutes = 30 minutes
Since the remaining music duration is exactly 30 minutes, Esmeralda has enough music on her playlist to last for a 30-minute workout.
is 15/15 greater than 9/15
Yes because
15/15 equals 1 whole
While 9/15 is not equal to one
Meaning 1 whole is bigger than 9 out of 15 of something
Which expression represents this word phrase?
15 divided by a number then decreased by 2
(15÷n)+2
(2÷n)+15
(15÷n)−2
(2÷n)−15
Metrics are based on the british system of weights and measures. true false
Answer: it is false :)
Which statement can be used to prove that a given parallelogram is a rectangle?
A.The opposite sides of the parallelogram are congruent.
B.The opposite angles of the parallelogram are congruent.
C.The diagonals of the parallelogram bisect the angles.
D.he diagonals of the parallelogram are congruent.
An 18-foot tree is 3 times as tall as when planted. Which equation can you solve to find out the tree's height on the day it was planted?
Answer:
3 • h = 18
Step-by-step explanation:
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?
we have
[tex] y = -6x^{2} + 3x + 2 [/tex]
we know that
the vertex form of the vertical parabola equation is equal to
[tex] y=a(x-h)^{2} +k [/tex]
where
(h,k) is the vertex of the parabola
To find the equation rewritten in vertex form let's factor the equation
Factor the leading coefficient
[tex] y = -6(x^{2} - 0.5x) + 2 [/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex] y = -6(x^{2} - 0.5x+0.0625-0.0625) + 2 [/tex]
[tex] y = -6(x^{2} - 0.5x+0.0625) + 2 +0.375 [/tex]
[tex] y = -6(x^{2} - 0.5x+0.0625) + 2.375 [/tex]
Rewrite as perfect squares
[tex] y = -6(x-0.25)^{2} + 2.375 [/tex]
therefore
the answer is
[tex] y = -6(x-0.25)^{2} + 2.375 [/tex]
which of the numbers listed below are solutions to the equation?
Check all that apply.
x^2 = 7
A. None of these.
B. square root of 7
C. 49
D. 14
E. negative sqr root of seven
F. -49
The solution for the given equation is square root of 7. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x²=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
For the given equation x²=7, square root on both the sides.
That is, x=±√7
Therefore, the solution of the equation is x=±√7.
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The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon. (b) Estimate the values of S '(5) and S '(25).
Calculating S'(5) and S'(25) involves estimating the slope of the tangent to the temperature-speed graph of Coho salmon at those temperatures. The provided data is insufficient for an exact calculation and more information or a graph is needed.
Explanation:The influence of temperature on the maximum sustainable swimming speed (S) of Coho salmon can be analyzed using calculus to find the rate of change of speed with respect to temperature, commonly represented as S'(T). To estimate the values of S'(5) and S'(25), one would typically use a graph of S versus T and look for the slope of the tangent to the curve at T=5 and T=25.
However, the given data is insubstantial for such an analysis. More context or a graph is needed to provide a specific estimate. Generally, one might use the values given for S at temperatures nearby T=5 and T=25 to calculate the approximate rates of change at these points through the use of difference quotients or other numerical methods if a graph or formula is not available.
What percent of 88 is 72.6? ...?
72.6 is 82.5 percent of 88. To find what percent 72.6 is of 88, divide 72.6 by 88 and then multiply by 100%. This gives you 82.5%, which means 72.6 is 82.5 percent of 88.
Explanation:To find what percent 72.6 is of 88, you can use the formula:
Percentage = (Part / Whole) × 100%
In this case, the 'Part' is 72.6 and the 'Whole' is 88. Plugging these numbers into the formula:
Percentage = (72.6 / 88) × 100%
Percentage = 0.825 × 100%
Percentage = 82.5%
So, 72.6 is 82.5 percent of 88.
Angle C has what measurement according to the protractor?
Answer:
Option A is correct.
Step-by-step explanation:
In this figure we have to find the measurement of angle C.
As it clear from the picture the angle c is an acute angle which is less than 90° angle. We always measure the angles from the given point A. Therefore this is 50° angle.
So the answer would be option A. 50°.
what one is bigger a liter of ketchup or 750 milliliter of ketchup
How do you number 3 and can you explain everything for detail please
(2r)^5, write in expanded form.
One die is rolled. List the outcomes comprising the following events:
1) Event the die comes up at most 2
2) Event the die comes up 3
3) Event the die comes up even
A single six-sided die has specific outcomes for events: at most 2 consists of {1, 2}, rolling a 3 consists of {3}, and rolling an even number includes {2, 4, 6}.
When a single die is rolled, the possible outcomes for different events are as follows:
The event where the die comes up at most 2 includes the outcomes {1, 2}.
The event where the die comes up 3 includes the single outcome {3}.
The event where the die comes up even includes the outcomes {2, 4, 6}.
It is important to list all possible outcomes clearly to understand the probabilities for each event. For instance, the probability of each of these events can be calculated by counting the favorable outcomes and dividing by the total number of possible outcomes, which is 6 in the case of a single six-sided die roll.
a country's population in 1992 was 72 million in 1998 it was 76 million estimate the population in 2012
Use the graph below for this question:
graph of parabola going through negative 1, 7 and negative 3, 9.
What is the average rate of change from x = −1 to x = −3?
5
−3
1
−1
Answer:
The correct option is 4. The average rate of change from x = −1 to x = −3 is -1.
Step-by-step explanation:
It is given that the graph of parabola going through (-1,7) and (-3,9).
It means the value of at x=-1 is 7.
[tex]f(-1)=7[/tex]
The value of at x=-3 is 9.
[tex]f(-3)=9[/tex]
The slope of a function f(x) for the interval [a,b] is
[tex]m=\frac{f(b)-f(a)}{b-a}[/tex]
We have to find the average rate of change from x = −1 to x = −3. Here a=-1 and b=-3. So the average rate of change from x = −1 to x = −3 is
[tex]m=\frac{f(-3)-f(-1)}{-3-(-1)}[/tex]
[tex]m=\frac{9-7}{-3+1}[/tex]
[tex]m=\frac{2}{-2}[/tex]
[tex]m=-1[/tex]
The average rate of change from x = −1 to x = −3 is -1. Therefore the correct option is 4.
PLEASE I NEED THIS DONE BECAUSE IVE BEEN WORKING ON THIS ALL DAY! AND IT IS MY LAST QUESTION!
The coordinate plane below represents a city. Points A through F are schools in the city.
graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. Point E is at 2, 4. Point F is at 3, negative 4.
Part A: Using the graph above, create a system of inequalities that only contain points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A. (3 points)
Part C: Timothy can only attend a school in his designated zone. Timothy's zone is defined by y < 3x − 3. Explain how you can identify the schools that Timothy is allowed to attend. (2 points)
16.
Write the following ratio in simplest form.
8 years to 14 months
814814
4747
7474
487487
True or False? If x>0 and a>1, then (ln x/ln a) = ln (x/a) Counter example if false.
...?
The statement "If x > 0 and a > 1, then (ln x/ln a) = ln (x/a)" is false.
This can be shown by using the properties of logarithms.
The correct relationship is given by the change of base formula, which states that for any positive x, a, and b, where a and b are not equal to 1.
The following holds:
[tex][ \frac{\ln x}{\ln a} = \log_a x ][/tex]
Therefore, the correct relationship is:
[tex][ \frac{\ln x}{\ln a} = \log_a x ][/tex]
This shows that the original statement is false.
Clarence works at least 5 hours but not more than 7 hours. He earns $11.60 per hour. The function f(t)=11.6tf(t)=11.6t represents the amount of money he earns for working t hours.
What is the practical range of the function?
A: all multiples of 11.6 between 58 and 81.2, inclusive
B: all real numbers from 5 to 7, inclusive
C: all real numbers
D: all real numbers from 58 to 81.2, inclusive
The solution is, the practical domain is all real numbers from 5 to 7, inclusive. and the practical range is all real numbers from 58 to 81.2.
What is range ?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Here, we have,
Clarence works more than 5 hours and less than 7 so the practical domain is all real numbers from 5 to 7, inclusive.
Function: f(t) = 11.6 t
Restrictions: 5 ≤ t ≤ 7
Domain: possible values of t: all real values between 5 and 7 inclusive
Range: possible values of f(t): from 11.6 * 5 to 11.6 *7 = from 58 to 81.2, inclusive.
Using this domain, the practical range is:
From f(5) = 11.6(5) = 58
To f(7) = 11.6(7) = 81.2
inclusive.
Answer:
the practical domain is all real numbers from 5 to 7, inclusive. and the practical range is all real numbers from 58 to 81.2
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Is this function linear or nonlinear? y=1x
The degree of the function is one. Then function y = x will be a linear function.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
If the degree of the equation is one. Then the function will be a linear function.
The function is given below.
y = 1x
y = x
The power of the variables 'x' and 'y' will be one. Then the function is a linear equation.
The degree of the function is one. Then function y = x will be a linear function.
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rt-2n=y solve for t
show step-by-step solution
To solve for t in the equation rt-2n=y, add 2n to both sides to get rt=y+2n, and then divide by r to find t=(y+2n)/r.
Explanation:To solve the equation rt-2n=y for t, we need to isolate t on one side of the equation. Here's a step-by-step solution:
Add 2n to both sides of the equation to get rt = y + 2n.Divide both sides of the equation by r to solve for t. This gives us t = (y + 2n) / r.Thus, the value of t in terms of y, n, and r is t = (y + 2n) / r.
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In a circle, a 90 degree sector has area of 64pi ftsqd. what is the radius of the circle? ...?
Answer:
16
Step-by-step explanation: