Answer:The radius r used in below equations would equal 2in because it is half the given diameter of 4in.
The volume of the cone would be
The volume of a cylinder with the same dimensions would be
The cylinder is 24 - 8 = 16 cubic inches greater.
Step-by-step explanation:
which expression equivalent to k^1/4 · cubed root of k^2
Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by five. How do you do this? :/
translate the following into interval notation: "The union of all numbers greater than eight, and less than or equal to negative four".
Given: line DR tangent to Circle O.
If m angle C = 63°, then m angle BDR =
Answer:
m∠BDR=63°
Step-by-step explanation:
It is given that line DR tangent to Circle O and m∠BCD=63°, then the measure of the angle BDR can be determined as:
Since, angle BDR is made between the chord and the tangent, and we know that the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, therefore
m∠BCD=m∠BDR=63°
Hence, the measure of angle BDR=63°.
True or False?
(a^4)(a^5) = (a)^9
What is the average rate of change for the sequence shown below?
coordinate plane showing the points 1, 4; 0.5, 3.5; 0, 3; and negative 0.5, 2.5
−2
−one half
1
2
Answer:
1
Step-by-step explanation:
Step 1: Select 2 points
(0,3) (0.5, 3.5)
x1,y1 x2,y2
Step 2: use average rate of change formula
[tex]\frac{y2-y1}{x2-x1}[/tex] = average rate of change
[tex]\frac{3.5-3}{0.5-0} =\frac{0.5}{0.5} =1[/tex]
How do you solve (a^3b)^4(ab^6)^2?
Dion practiced the long jump . he jumped 3.05 meters,2.74 meters and 3.3 meters.what was the average length of dion's jumps?
Write the equation y-2=6x 3 in y mx b form
Final answer:
The equation y - 2 = 6x is rewritten in the y = mx + b form by simply adding 2 to both sides resulting in y = 6x + 2, where 6 is the slope and 2 is the y-intercept.
Explanation:
The equation y - 2 = 6x is not fully written in the y = mx + b form, which is the standard form of a linear equation where m represents the slope and b represents the y-intercept. To convert the given equation into the y = mx + b form, we need to isolate y on one side of the equation.
First, we will add 2 to both sides of the equation:
y - 2 + 2 = 6x + 2
Which simplifies to:
y = 6x + 2
Now we have written the equation in the desired form, with m = 6 and b = 2. This linear equation represents a line with a slope of 6 and a y-intercept at (0, 2). Graphically, the line can be plotted using these values, and a table of points can be created by plugging various x values into the equation.
What is the range of y = sin θ ?
Divide 28x3 + 42x2 - 35x by 7x
The maximum gas mileage for a compact car is estimated using the graph shown below.
The average gas mileage for an SUV is modeled by the function m(s)=−0.015(s−55)2+15, where s is the SUV's speed in miles per hour.
The difference in maximum mileage between these two vehicles is _____ mpg (miles per gallon).
Enter the number that correctly fills in the blank in the previous sentence.
describe how to draw a line that passes through the origin and has a slope of 3/5
which of the following functions is graphed below??
Without seeing the actual graph, it's impossible to provide an accurate response. However, several common types of function graphs have been described.
Explanation:Unfortunately, without seeing the graph in question, it is not possible to provide an accurate response to your question regarding which function is graphed. However, we can discuss what a few different types of common functions might look like.
A straight line with a positive slope from the lower left to the upper right indicates a direct relationship between x and y values, such as y = x or y = 2x + 1.
A curved graph that resembles a U shape either upright or upside down might suggest a quadratic function such as y = x^2 or y = -x^2.
As for time-graphs, the gradient of a velocity-time graph gives acceleration, while the area under the velocity-time graph gives displacement. The gradient of a position-time graph gives velocity.
Supply and demand curves are graphs used in economics. The supply curve typically slopes upward, and the demand curve usually slopes downward.
Without seeing the actual graph or having more details, this is the best general information that can be provided.
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The piecewise-defined function that is graphed below include the following: D. [tex]f(x)=\left\{\begin{array}{Ir}x^3-3, & x \leq 2\\x^2+6, & x > 2\end{array}\right[/tex]
In Mathematics and Euclidean Geometry, a piecewise-defined function is a type of function that is defined by two or more mathematical expressions over a specific domain.
Note: The inequality symbol < or > represents a hollow dot (circle).
The inequality symbol ≤ or ≥ represents a solid dot (circle).
Generally speaking, the domain of any piecewise-defined function is the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, there is a solid circle above 2 that decreases to the left and a hollow circle above 2 that increases to the right.
In this context, the piecewise-defined function is defined over the following domains;
Domain = x ≤ 2, for [tex]f(x) = x^3 - 3[/tex].
Domain = x > 2, for [tex]f(x) = x^2+6[/tex].
Complete Question:
Which of the following functions is graphed below?
Eugenia wants to find out how fast she walked along the hiking trail that took her 1.5 h to complete. She counted the number of steps with a pedometer and got 10000 steps. in order to calculate the distance she walked she estimated the length of her stride. she walked 10 steps three times at her usual rate and measured the distance with a measuring tape (the smallest division is 1cm) and got 745cm, 748 cm, 739 cm. Find the length of her stride. What is the length of the hiking trail? What are absolute and relative uncertainties in that length?
When the function below is graphed, how many x-intercepts does it have? y = 2x2 - 8x + 5
Answer:
2.
Step-by-step explanation:
Please find the attachment.
We have been given a function formula [tex]y=2x^2-8x+5[/tex]. We are asked to determine the number of x-intercepts that our function could have by graphing.
Since our given function is a quadratic function, so it could have at-most two x-intercepts as it will cross x-axis at-most two times.
Upon looking at our attached graph we can see that our given function crosses x-axis at two points, therefore, our given function has two x-intercepts.
Identify the variation as direct, inverse, joint or combined.
The cost of the number of the same articles purchased varying with the number purchased.
a.direct
b.inverse
c.joint
d.combined ...?
Answer:
The statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .
Option (a) is correct .
Step-by-step explanation:
Definition of the direct variation
When two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
i.e
[tex]x \propto y[/tex]
x = ky
As the x increases than y is also increase .
As given the statement in the question
The cost of the number of the same articles purchased varying with the number purchased.
i.e
As the number of purchased article increases thus cost of the articles also increases .
Therefore the statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .
Option (a) is correct .
explain the difference between 1/(sinx) and ((sin^-1)x) ...?
At president bush's inauguration in 2005, the newspaper headline stated there were about 400,000 people in attendance at the newspaper rounded to the nearest 10,000 what is the largest number and smallest number of people who could have been there
Answer:
At president bush's inauguration in 2005, the newspaper headline stated there were about 400,000 people in attendance.
Now, rounding to nearest ten thousand the greatest number will be: 404999.
And the smallest number will be : 395000
So, the largest number of people who could have been here is 404999.
And the smallest number of people who could have been here is 395000.
A triangle has sides of length 3 cm and 10 cm. What can you say about the length of the third side?
The inequality that represents the third side of the triangle is the third side < 13.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Given, A triangle has sides of length 3 cm and 10 cm.
From the rule of the triangle, The sides of a triangle rule assert that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
thus, we can say that
third side < 10 + 3
third side < 13
Therefore, The inequality third side < 13 is used to represent the triangle's third side.
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Final answer:
Using the Triangle Inequality Theorem, the third side of a triangle with sides of 3 cm and 10 cm must be greater than 7 cm and less than 13 cm.
Explanation:
To determine the possible length of the third side of a triangle given two side lengths of 3 cm and 10 cm, we use the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the third side must be longer than 7 cm (10 cm - 3 cm) but shorter than 13 cm (10 cm + 3 cm).
A candy company used 8 gallons of syrup to make 4 batches of candy. what is the rate of syrup per batch.
Simplify the expression
sin(pi+x) + sin(pi - x)
...?
Each ratio in simplest form 16:40
If segment UV is considered to be the base of parallelogram TUVW, which segment would represent the altitude of the parallelogram?
segment TU
segment TX
segment WT
segment WV
PLEASE HELP ...?
The sides of the cubes are numbered 1 through 6. If they are both tossed, what is the probability that they will both be a 2?
Answer:
The answer is 1/36
Step-by-step explanation:
Find tan θ if sec θ = (sqrt26)/5 and sin θ < 0.
number is a factor of 51?
A model is made of a car. The car is 8 FEET long and the model is 10 INCHES long. What is the ratio of the length of the car to the length of the model? a)10:8 b)48:5 c)5:48 d)8:10
Answer:
8:10
Step-by-step explanation:
Solve the equation
x^2 + 5x + 4 = 0
Step-by-step explanation:
answer:
x^2 + 5x + 4 = 0
x²+4x+x+4=0
x(x+4)+1(x+4)=0
(x+4)(x+1)=0 is your answer
Which set of line segments with the given lengths can be formed into a right triangle?
24,30,35
12,18,30
18,24,30
18,24,35 ...?
Answer:
there right
Step-by-step explanation: