Answer:
the volume of the cone is approximately 28.26 cubic inches.
Step-by-step explanation:
To find the volume of a cone, you can use the formula:
V = (1/3) * π * r^2 * h
where V is the volume of the cone, r is the radius of the base of the cone, and h is the height of the cone.
Using the dimensions provided in the diagram, the radius of the base of the cone is 3 inches and the height of the cone is 8 inches. Plugging these values into the formula, we get:
V = (1/3) * π * 3^2 * 8
= (1/3) * 3.14 * 9 * 8
= 28.26 cubic inches
So, the volume of the cone is approximately 28.26 cubic inches.
I NEED THESE IN 7 MINS PLEASE SOMEONE ANSWER THIS ILL GIVE U EXTRA POINTS!!! ANSWER THEM ALL PLEASE!!!
The circumference of the circle is 62.8 feet.
In geometry, the circumference of a circle or ellipse is referred to as its perimeter (from the Latin circumference, meaning "carrying around").
In other words, the circumference would match the length of the circle's arc if the circle were spread out and straightened into a line segment. The perimeter of any closed figure is more frequently used terminology for the length of the curve around. The exact location of the circle, which corresponds to the edge of a disc, can also be referred to as the "circumference." Any one of the great circles has a length equal to the circumference of a sphere.The diameter of the circle = 20 ft
radius (r) = 20 ÷ 2 = 10 ft
Circumference = 2πr = 2 × 3.14 × 10 = 62.8 feet.
For the second problem
The circumference is 17 feet
∴2πr=17
or, 2r = 17 ÷ 3.14 = 5.414... ≈5.41 feet
Hence the diameter is 5.41
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Which of the following transformations does not
preserve congruence?
F. (x,y) → (-x, -Y)
G. (x, y) = (-y, -x)
H. (x, y) = (x + 9.y + 9)
J. (x,y) → (9x, 9y)
Answer:
(9x, 9y) dilation
Step-by-step explanation:
(9, 9y) is the answer because F is 180 degrees rotations, G is not real, H is translations, and J is dilations and dilations is multiplying which makes the transformation non congruent.
Your welcome
I need help on this asap!!!!
Alan makes the statement about the intersection point of a system of inequalities. Explain why Alan’s statement is incorrect.
The intersection point is always a solution to a system of
inequalities because that is where the two lines meet
Answer: No, Alan's statement is incorrect!
Step-by-step explanation:
The intersection point of a system of inequalities is not always a solution. It only becomes a solution if the two lines meet at the same point and the lines are not parallel. If the two lines are parallel, then they will not intersect and thus the intersection point will not be a solution.
Step-by-step explanation:
if there is an intersection point (the lines are not parallel), there is still the question, if the points on the line are included in the solution or not.
if not, then the intersection point is not part of the solution either.
this is controlled by the absence of presence of the "or equal" part of the inequality.
>= greater than or equal
<= less than or equal
if the inequality is only
> greater than
< less than
the lines are just delimiters, but their points are not part of the solution. and therefore not the intersection point either.
If you take the opposite of the product of 8 and -2, will the answer be less than -5, between -5 and 5 and 10, or greater than 10?
Answer: Greater than 10.
What is x>-4 graphed and it slope and y-intercept?
Answer: See attached for the graph. There is an undefined slope and no y-intercept.
Step-by-step explanation:
See attached for a graph. Since this is only greater than, (>) we will use a dashed line. Then we will shade everything greater than -4.
The slope of this graph is undefined because this line is straight up and down. If we try to write it as an equation, you end up dividing by zero (which ends up undefined)
Lastly, there is no y-intercept. Since this line does not cross the y-axis, there is no point of intersection.
When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7
Help with slope pleaseee
^^
50 points pls help!!!!!!
Make sure you are right I will have to retake this if you are wrong
if the terminal point of Ø is (0,1), what is tan Ø?
undefined
1
1/2
0
Answer:
undefined
Step-by-step explanation:
Since, the terminal point of is (x,y), thus
\(tan\) Ø \(\frac{y}{x}\)
x-coordinate is 1 and the y-coordinate is 0. Using \(tan0=\frac{y}{x}\) we get:
\(tan\) ∅ \(=\frac{1}{0}\)
\(tan\) ∅ \(=0\)
Therefore, tan Ø is undefined.
Or we can just do 1/0 which is undefined
~Lenvy~
7. Margo can read 22 pages in 30 minutes.
How long would it take her to read a 100-page book?
Answer: x = 136.4 minutes
Step-by-step explanation:
x = (100/22)(30) minutes = 136.4 minutes
Name any two 2D shapes which are not polygons.Insert the diagrams of these shapes to support your answer.
please hurry
Answer:
Circle and Semi-circle are 2D but not polygons.
Picture to shwo answer:
solve for x.
6(x+4)-8x=16
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6(x+4)−8x=16
(6)(x)+(6)(4)+−8x=16(Distribute)
6x+24+−8x=16
(6x+−8x)+(24)=16(Combine Like Terms)
−2x+24=16
−2x+24=16
Step 2: Subtract 24 from both sides.
−2x+24−24=16−24
−2x=−8
Step 3: Divide both sides by -2.
-2x/-2=-8/-2
x=4
Answer:
X=8
Step-by-step explanation:
First you distribute the 6 to the x and the 4 which gives you, 6x+4x-8x=16 , From there you would add 6x and 4x which gives you 10x. Then you would subtract 8x and that gives you 2x. Now you have 2x=16, then you divide by 2 on both sides. That gives you x=8
arrange the numbers in increasing order a. 8.08 8.081 8.09 8.008b. 14.204. 14.200. 14.240 14.210
Given:
a)
\(8.08,8.081,8.09,8.008\)b)
\(14.204,14.200,14.240,14.210\)Required:
To arrange in the increasing order.
Explanation:
a)
Here, the first two places' numbers are the same.
Let us check the hundredth decimal place.
The lowest number is 8.008.
The second lowest number is 8.08.
The third lowest number is 8.081
The fourth lowest number is 8.09.
So, the numbers are in ascending order is,
\(8.008,8.08,8.081,8.09\)b) Here, the first t places' numbers are the same.
Let us check the hundredth decimal place.
The lowest number is 14.200.
The second lowest number is 14.204.
The third lowest number is 14.210.
The fourth lowest number is 14.240.
So, the numbers ar
Please helpppppp!! Which equation applies the associative property of multiplication?
The equation that applies the associative property of multiplication is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).
What is the Associative Property of Multiplication?The associative property of multiplication can be defined as a property of equality which states that the product is some numbers remains the same regardless of how the factors are grouped in multiplication.
For example, according to the associative property of multiplication, (5 × 3) × 2 would give us the same product as what 5 × (3 × 2) would give us. Both would give a product of 30, irrespective of how they are grouped in multiplication.
Thus, (-9/4 * 3/2) * (6/3 * 5/7) would give the same product as -9/4 * (3/2 * 6/3) * 5/7).
Therefore, the answer is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).
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The middle angle in a triangle is 4 times the measure of the smallest angle. The smallest angle is the difference of the largest angle and the middle angle. Find the measures of the three angles.
Find the smallest angle, largest angle, and middle angle in degrees
Answer:
smallest: 18°largest: 90°middle: 72°Step-by-step explanation:
We can solve this using the relationship between the angles together with the angle sum theorem. Let s represent the measure of the smallest angle. Then the middle angle is 4s, and the largest angle is (4s +s). The angle sum theorem tells us the sum of angles in a triangle is 180°.
smallest + middle + largest = 180°
s +(4s) +(4s +s) = 180°
10s = 180° . . . . . . . . . . . simplify
s = 18° . . . . . . . . . divide by 10
4s = 72° . . . . . . find the middle angle
4s +s = 72° +18° = 90° . . . . . find the largest angle
The smallest, largest, and middle angles are 18°, 90°, and 72°, respectively.
If you flip a fair coin 10 times, what is the probability that it lands on heads exactly 4 times?
The probability of getting exactly 4 heads when flipping a fair coin 10 times is approximately 0.205 or 20.5%.
To calculate the probability of obtaining exactly 4 heads when flipping a fair coin 10 times, we can use the binomial probability formula. The formula is:
P(X = k) = (nCk) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k successes (in this case, 4 heads),
n is the number of trials (flips of the coin, in this case, 10),
k is the desired number of successes (4 heads, in this case),
p is the probability of success on a single trial (landing on heads, which is 0.5 for a fair coin).
Using these values, we can calculate the probability as follows:
P(X = 4) = (10C4) * (0.5)^4 * (1 - 0.5)^(10 - 4)
Using binomial coefficients (nCk) and simplifying the expression, we get:
P(X = 4) = 210 * 0.0625 * 0.0625
Simplifying further:
P(X = 4) = 0.205078125
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can a denominator be negative in literal equation? or should it be converted to positive, and change the numerator signs pls help. others say the quantity can be negative but i am never sure. my exams are tomorrow, that's the only thing i'm very worried about
I don't think it really matters if the denominator is negative in a literal equation. Think about a simpler example with numbers. Does it matter whether a fraction is -1/2 or 1/-2? No, they are both the same. Therefore, I would say that the denominator of a literal equation can be negative.
Good luck with your exams!
A toy machine has equal numbers of red, white, and blue foam balls which it releases at random. Ross wonders which color ball will be released next. Select the description of how you can use a standard number cube to model and predict this situation.
A.Let multiples of 2 represent red, let multiples of 3 represent white, and let the remaining numbers represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
B.Since "red" has three letters and "one," "two," and "six" all have 3 letters, let these represent red. Since "blue" has 4 letters and "four" and "five" have four letters, let these represent blue. Since "white" has five letters and "three" has five letters, let this represent white. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
C.Let 1 and 2 represent red, let 3 and 4 represent white, and let 5 and 6 represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
D.Let even numbers represent red, let odd numbers represent white, and let prime numbers represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
Answer:
Since there are three colors and a standard number cube has 6 sides, you can let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue. Then roll the number cube repeatedly, recording the results for each roll. After you have recorded a sufficient number of rolls, determine which color was rolled the most often.
RESULT
Let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue.
Option (C) predicts the probability of the above situation correctly is the correct answer.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
A toy machine has equal numbers of red, white, and blue foam balls which it releases at random.
Ross wonders which color ball will be released next.
A standard number cube is used to model and predict this situation.
A standard number cube has six faces namely 1,2,3,4,5,6.
There are three foam balls. If we assign two numbers for each foam, then we can able to predict the probability of next foam by rolling it for number of times.
Thus from the given options, Let 1 and 2 represent red, let 3 and 4 represent white, and let 5 and 6 represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability. This option determines the above situation.
Hence we can conclude that option (C) predicts the probability of the above situation correctly is the correct answer.
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what is x 1/4(8x+12)=21
Answer:
x = 9
Step-by-step explanation:
1/4(8x+12) =21
1/4 * 8x = 2x
1/4 * 12 = 3
2x + 3 = 21
21 - 3 = 18
2x = 18
18/2 = 9
x = 9
Answer:
x=9
Step-by-step explanation:
Try first by multiplying the 8x and 12 in the brackets by 1/4 so it will be:2x+3=21
Now subtract 3 from each side2x=18
Then divide each side by 2x=9
Which complex number has an absolute value of 5?
–3 + 4i
2 + 3i
7 – 2i
9 + 4
Answer:
Step-by-step explanation:
-3 + 4i
value = square( (-3)^2 + (4i)^2 ) = sqr(9 + 16) = sqr(25) = 5
The absolute value is like the Pythagoras theorem
Li and Amber are writing number patterns. Both patterns start at 2. Li uses the rule "Add 1, then multiply by 3." Amber uses the pattern "Add 2, then multiply by 2." Write the first five ordered pairs with an x-coordinate representing the number Li's pattern and the y-coordinate representing the corresponding numbers in Amber's pattern.
Based on the information provided the coordinates would be
What is Li's sequence?To know her sequence, let's apply the rule given"Add 1, then multiply by 3"
2 + 1 = 3 x 3 = 9
3+1 = 4 x 3 =12
4 +1 = 5 x 3 =14
5 + 1 = 6x3 = 18
What is Amber's sequence?Let's apply the rule given "Add 2, then multiply by 2"
2+ 2 = 4x2= 8
3+2= 5x2= 10
3+3= 6x 2= 12
4+3=7x 12 = 14
Based on this, the coordinates are (2,2), (9,8), (12,10), (14,12), (18,14).
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suppose you have 2 coins, and you flip them at the same time different times. what is the expected number of times that both coins have come up tails?
The expected number of times that both coins have come up tails will be 0.5 or 50%.
The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.
The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.
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please do all of these :)
What is the volume of the rectangular prism - i ready. 1/3 ft some of. The answers 1 1/9 feet3- 10 ft3 - 2/9 ft3 - 3 1/3 ft3
Answer:
\(3\frac{1}{3}\ ft^3\)
Step-by-step explanation:
A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:
Volume = width * height * length
From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.
The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.
The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.
The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.
The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ = \(3\frac{1}{3}\ ft^3\)
Answer:
it is 3 1/3 good day
Step-by-step explanation:
Eliminate the parameter t, write the equation in Cartesian coordinates, then sketch the graph of the vector- valued function r(t)=(2 sint, 3 cost) showing orientation.
Note that the curve is symmetric about the x and y axes, and it intersects the x-axis at x = -sqrt(13/4) and x = sqrt(13/4), and the y-axis at y = -sqrt(13/9) and y = sqrt(13/9) using parametric equation.
The vector-valued function is given by r(t) = (2 sin(t), 3 cos(t)).
To eliminate the parameter t, we can use the trigonometric identity sin^2(t) + cos^2(t) = 1. Solving for sin(t) and cos(t), we get:
sin(t) = sqrt(1 - cos^2(t))
cos(t) = sqrt(1 - sin^2(t))
Substituting these expressions into the definition of r(t), we get:
r(t) = (2 sqrt(1 - cos^2(t)), 3 sqrt(1 - sin^2(t)))
Squaring both sides of these equations, we get:
4 - 4 cos^2(t) + 9 sin^2(t) = 4 x^2
9 cos^2(t) - 9 sin^2(t) + 4 = 9 y^2
Adding these equations together, we get:
4 x^2 + 9 y^2 = 13
This is the equation of an ellipse centered at the origin with semi-major axis sqrt(13/4) along the x-axis and semi-minor axis sqrt(13/9) along the y-axis.
To sketch the graph of r(t), we can plot points for various values of t and connect them to form the curve. Since x = 2 sin(t) and y = 3 cos(t), we can see that the curve starts at (0,3) when t = 0 and moves counterclockwise around the ellipse. The orientation of the curve is shown in the sketch below:
y
|
3 | *
| / \
| / \
|/ \
+---------\------\
-2 2 x
The asterisk (*) represents the starting point of the curve when t = 0, and the arrows indicate the direction in which the curve moves as t increases.
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The Choose would best compare the centers of the data
The median would best compare the centers of the data
Completing the statement that would best compare the centersfrom
Class 1 and class 2
In class 1, we have no outliers
So, we use the mean as the centers of the data
In class 2, we have outliers
So, we use the median as the centers of the data
Since we are using median in one of the classes, then we use median in both classes
Hence. the median would best compare the centers of the data
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Hamburgers cost $4.50 at a football stadium, write an equation that shows the total cost,c of n hamburgers?
Answer:
c=4.50
Step-by-step explanation:
c=4.50 the answer is at the top.
Answer:
N=$4.50
Step-by-step explanation:
If the price for one hamburger is $4.50, then N=$4.50
solve each system of equation by graphing
3x-5y=15
y=2x+4
brown skin girl brown skin just like pearls
Answer:
Solution: (-5,-6)
Graph:
what other observations can be made about the sat scores based on the tabular and graphical summaries?
In general, here are some observations that can be made about SAT scores based on tabular and graphical summaries: Distribution, Variation by subgroup, Trends over time, Correlation with other variables,
Summaries:
Distribution: The distribution of SAT scores can be analyzed using measures such as mean, median, mode, and standard deviation. A histogram or box plot can also show the shape of the distribution and any outliers.Variation by subgroup: SAT scores may vary by different subgroups such as gender, race, and socio-economic status. Tables or graphs can be used to compare the average scores of different subgroups.Trends over time: SAT scores may change over time, and tables or line graphs can be used to show trends in average scores over multiple years.Correlation with other variables: Tables or scatterplots can be used to examine the relationship between SAT scores and other variables such as high school GPA, family income, or college admission rates.Overall, tabular and graphical summaries can provide valuable insights into the distribution, variation, trends, and correlations of SAT scores, helping to identify patterns and relationships that may be useful for further analysis or decision-making.
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The average family of four consumes 6,300 gallons of water per month. How much water usage is this per person per day (30 days/month)?
Answer:
52.5 gallons a day per person
Step-by-step explanation:
6300 divided by 4 then divided by 30
Answer:
1,575 gallons of water per person per month.
Step-by-step explanation:
Since a family of 4 consumes 6,300 gallons a month, just divide 6,300 by 4. The quotient is 1,575. I hope this helps. Please mark Brainliest :)
Given y(4) - 9y" - 81y" + 729y' = t² + 1 + tsint, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants. A suitable form of y(t) is: Y(t) = = Choose one Choose one t(Aot² + A₁t + A₂) + Bot cost + Cot sin t t(Aot + A₁) + Bo cost + Co sint t(Aot² + A₁t) + Bo cost + (Co + C₁t) sint t(Aot² + A₁t + A₂) + (B₁ + B₁t) cost+ (Co + C₁t) sin t t(Aot + A₁) + (Bo + B₁t) cost+ (Co + C₁t) sint Aot² + A₁t+ A₂ + (Bo + B₁t) cost+ (Co + C₁t) sin t Aot² + A₁t+ A₂2 + Bo cost + Co sin t Aot+ A₁+ Bot cost + Cot sin t
\(y(4) - 9y" - 81y" + 729y' = t² + 1 + tsint\)Given equation\(y(4) - 9y" - 81y" + 729y' = t² + 1 + tsint\); find a suitable form for Y(t) if the method of undetermined coefficients is to be used.The equation is a linear ordinary differential equation with constant coefficients and its degree is 4.
The undetermined coefficient method is suitable for solving the non-homogeneous differential equations of this form.When applying the method of undetermined coefficients, the general solution of the homogeneous equation yh(t) is first determined and is given by the following equation: yh(t) = C1 + C2t + C3t² + C4t³We find the particular solution of the equation by assuming the function Y(t) has the same functional form as the non-homogeneous term of the equation, which is the right-hand side of the equation,
and by substituting the derivatives of this function into the differential equation.The right-hand side of the equation has two terms: t² + 1 and tsint. Thus, we assume the following form for Y(t):Y(t) = Aot² + A₁t + A₂ + Bot cos t + Cot sin tThen, differentiate this function and substitute it into the original differential equation to find the constants A0, A1, A2, B, and C. Finally, substitute all the constants into the equation to find the particular solution.
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