Answer:
The volume of the cone is 25.13, the other one is 167.55
Step-by-step explanation:
v = 1/3pi(2)^2(6)
simplify and divide the above.
v = 25.13
1/3pi(4)^2(10)
= 167.55
In Circle T, TM is a radius. If TM=14.5, find CD. Find the diameter.
Answer:
29
Step-by-step explanation:
multiply by 2
What does the subtraction of 7 from 9 mean?
Answer:
Step-by-step explanation: -2
The subtraction of 7 from 9 means -2.
What is subtraction?Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.
Given:
Subtraction of 7 from 9.
The value,
= 7 -9
= -2.
Therefore, the value of an expression is -2.
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12 = 7y + 12
Help me with this! I forgot how to do this and my teacher asked me! HELP!
Answer:
undefined
Step-by-step explanation:
12=7y+12
-12 -12
0=7y
/7 /7
undefined
you can't solve this as you can't divide 0 by a number
Answer:
Step-by-step explanation:
12 = 7y + 12
-12 -12
0 = 7y
/7 /7
0 = y
Find dz/dt, for the following:
z(x,y)=xy^2 + x^2y, x(t)=at^2 , y(t) = 2at
dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4\).
To find dz/dt for z(x, y) = \(xy^2 + x^2y\), x(t) = at^2, and y(t) = 2at, we'll use the chain rule.
Here's a step-by-step explanation:
Step 1: Find the partial derivatives of z with respect to x and y. \(∂z/∂x = y^2 + 2xy ∂z/∂y = 2xy + x^2\)
Step 2: Find the derivatives of x(t) and y(t) with respect to t. dx/dt = 2at dy/dt = 2a
Step 3: Apply the chain rule to find dz/dt. dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)
Step 4: Substitute the expressions from steps 1 and 2 into the chain rule equation. dz/dt = \((y^2 + 2xy)(2at) + (2xy + x^2)(2a)\)
Step 5: Replace x and y with their expressions in terms of t: x = at^2 and y = 2at. dz/dt = \(((2at)^2 + 2(at^2)(2at))(2at) + (2(at^2)(2at) + (at^2)^2)(2a)\)
Step 6: Simplify the expression.
dz/dt = \((4a^2t^2 + 4a^2t^3)(2at) + (4a^2t^3 + a^4t^4)(2a)\)
dz/dt = \(8a^3t^3 + 8a^3t^4 + 8a^3t^3 + 2a^5t^4\)
dz/dt = \(16a^3t^3 + 10a^3t^4\)
So, dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4.\)
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When data are positively skewed, the mean will usually be:a. greater than the medianb. smaller than the medianc. equal to the mediand. positiveData:Data refers to a characteristic of information that is collected for analysis and reference purposes. Data can be measured through various analytical tools to enable one to draw a conclusion. Data collected is used in scientific research and business management; thus, enabling the management to make better-informed decisions.
The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed.
A characteristic of information that is gathered for analysis and reference is referred to as data. Numerous analytical tools can be used to measure data and facilitate conclusion-making. The data gathered is used for corporate management and scientific research, allowing management to make more informed decisions.
The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed. The tail of the data set is said to point to the right when the data is positively skewed. The mean and median, on the other hand, are always lower than the mode in a distribution that is negatively skewed. Skewness, in general, is a distortion that differs from typical data collection.
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Create another line perpendicular to AB passing through C on AB. Measure the angle at the intersection to verify your result. Take a screenshot of your work, and paste it below.
Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.
Define perpendicular.Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).
Given,
Create another line perpendicular to AB passing through C on AB..
Line passing through AB is perpendicular.
Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.
A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.
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In a certain chemical, the ratio of zinc to copper is 4 to 13 A jar of the chemical contains 507 grams of copper How many grams of zinc does it contain?
If in a certain chemical, the ratio of zinc to copper is 4 to 13 A jar of the chemical contains 507 grams of copper The number of grams of zinc that it contain is: 156 grams of zinc.
Number of gram of zincUsing this formula to determine the number of gram of zinc it contain
Number of gram of zinc=Number of gram of copper/ 13 Ratio of zinc to copper ×4
Let plug in the formula
Number of gram of zinc=507 grams/13×4
Number of gram of zinc=39×4
Number of gram of zinc= 156 grams of zinc
Therefore if in a certain chemical, the ratio of zinc to copper is 4 to 13 A jar of the chemical contains 507 grams of copper The number of grams of zinc that it contain is: 156 grams of zinc.
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Celesta used to spend 90 minutes a day on the phone. Now she spends 60 minutes a day. What is the PERCENT DECREASE?
Answer:
-210
Step-by-step explanation:
The percent decrease in the time taken by Celesta is 33.33%.
What is Percentage?Percentage of a number is the parts per 100. Or percentage of a number can be calculated by dividing the number with the whole with respect to which we are finding the percentage of the number and then multiply with 100.
Percentage is a dimensionless number because percentage is not measured by any units.
Percentage decrease can be calculated by the formula,
Percentage Decrease = [(Original value - New value) / Original value] × 100
Time that Celesta used to spend on the phone a day = 90 minutes
Original value = 90
Now, celesta spends 60 minutes a day
New value = 60
Percentage decrease = [(90 - 60) / 90] × 100
= [30 / 90] × 100
= [1 / 3] × 100
= 33.33 %
Hence the percent decrease in the time taken by Celesta in a day is 33.33%.
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what is the slope of (2,-2) and (5, -6) ?
Answer:
-4/3
Step-by-step explanation:
Answer:
m = - 4 /3
Step-by-step explanation:
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m = y2 - y1 / x2 - x1
m =( -6) - (-2)/ 5 - 2
m = -6 plus 2 / 3 I put plus because negative times negative is plus
m = -4 / 3 negative 6 plus 2 is -4
To find y2, y1, x2 and x1 you have look on the two points that they gave you.
(2, -2), The x1 is 2 and y1 is -2
(5,-6), The x2 is 5 and y2 is -6
polygon b is a scaled copy of polygon a using a scale factor of 5 . polygon a area is what fraction of polygon b area
The area of polygon A would be a fraction 1/25 of the size of polygon B.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
The formula of the scale factor is shown as;
Area of Polygon B = (scale factor)²×(Area of Polygon A).
Using a scale factor of 5, we get
(Area of Polygon B) = (5)²× (Area of Polygon A)
(Area of Polygon B) = (25) × (Area of Polygon A)
Area of Polygon A = (1/25) × Area of Polygon B
Therefore, the area of polygon A would be a fraction 1/25 of the size of polygon B.
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The y-intercept of the line whose equation is x - y = 7 is....
Thanks for any help!
plzzz help me i will mark you as brainliest
Answer:
7/21
Step-by-step explanation:
3*7=21
1*7=7
I hope that helps
in a city of 246,000 people, there are 34 coffee shops. what is the number of coffee shops per capita? round to 6 decimal places.
Coffee shops per capita in city is 7235.294118
What is per capita?
The Latin phrase "per capita" means "by head." In statistics, the term "per capita" is sometimes used in place of "per person" to denote the average per person.
Main Body:
total population of city = 246000
Total coffee shops = 34
Per capita shops for population can be calculated by dividing total population by total shops.
calculatiing,
Per capita shops = total population/ total shops
= 246000/34
= 7235.294118
Hence number of coffee shops per capita is 7235.294118
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In a city in Ohio, the sales tax rate is 5.75%. If the price of a book is $7, what is the total cost of the book including tax?
Answer:
Step-by-step explanation:
What percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa?
The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.
How to illustrate the percentage?This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday
America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.
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two sets of 60 high school students each were taught algebra by two methods, respectively. the experimental group used programmed learning and no formal lectures; the control group was given formal lectures by a teacher. at the end of the experiment both groups were given a standardized test. the sample mean for the experimental group was 82 with a standard deviation of 9. the control group had a sample mean of 74 witha standard deviation of 12. researchers claim that the experimental group will have a higher mean score than the control group. using a 0.05 significance level and the statcrunch output what is the correct decision for this hypothesis test?
With the given information and the results of the t-test, you can make the correct decision for this hypothesis test.
To determine the correct decision for this hypothesis test, you need to compare the observed difference in mean scores between the experimental and control groups with the critical value obtained from a t-test.
The null hypothesis for this test is that there is no difference in mean scores between the experimental and control groups. The alternative hypothesis is that the experimental group has a higher mean score than the control group.
Based on the given information, the sample mean for the experimental group is 82 and the sample mean for the control group is 74. The sample size for both groups is 60 and the standard deviations are 9 and 12, respectively.
Using these values, you can perform a t-test using statistical software or a calculator. The t-test will give you a t-statistic and a p-value, which can be used to determine the significance of the observed difference in mean scores.
If the p-value is less than the significance level of 0.05, it means that the observed difference in mean scores is statistically significant and you can reject the null hypothesis in favor of the alternative hypothesis. This means that you can conclude that the experimental group has a higher mean score than the control group.
On the other hand, if the p-value is greater than the significance level of 0.05, it means that the observed difference in mean scores is not statistically significant and you cannot reject the null hypothesis. This means that you cannot conclude that the experimental group has a higher mean score than the control group.
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The quotient of (x -3x3-3x2 - 10x + 15) and a polynomial is (x2-5). What is the polynomial?
Answer:
(-3x -3 - 24x/(x²-5))
Step-by-step explanation:
(x - 3x³ - 3x² - 10x + 15) / p = x² - 5
(-3x³ - 3x² - 9x + 15) / p = x² - 5
p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)
- -3x³ + 15x
---------------------------------
0 - 3x² - 24x + 15
- - 3x² + 15
‐-----------------------------------
0 - 24x + 0
Let T(x) = Ax for the given matrix A. Determine if T is one-to-one and if T is onto. A = 4 2 12 6
The given matrix T is one-to-one.
Given matrix is,
\(\left[\begin{array}{ccc}4&2\\12&6\\\end{array}\right]\)
Now, First, find the reduced row-echelon form of A to determine the rank:
\(\left[\begin{array}{ccc}4&2\\12&6\\\end{array}\right]\) -
Apply the operation R₂ = R₂ - 3R₁
\(\left[\begin{array}{ccc}4&2\\0&0\\\end{array}\right]\)
Therefore, the rank of A is 1.
Since the rank of A is 1, the nullity will be zero.
Hence, In this case, since the nullity is zero,
So, T is one-to-one.
For T is onto,
In this case, A has 2 columns.
Since the rank of A is 1, which is less than the number of columns,
Hence, T is not onto.
Therefore, We get;
T is one-to-one.
T is not onto.
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You can buy 3 pounds of strawberries for 3.99 at Kroger knowing this what is the unit rate per pound of strawberries and how much would 5 pounds cost
Answer:
1.33 per pound6.65 for 5 poundsStep-by-step explanation:
To find cost per pound, divide cost by pounds.
3.99/(3 lb) = 1.33/lb . . . . cost per pound
The cost of 5 pounds will be found by multiplying that by 5:
(1.33/lb)(5 lb) = 6.65 . . . cost of 5 pounds
4 divided by 2/3 please I need the answer
Answer: 6
Step-by-step explanation:
This is simple
An 8 pack of light bulbs costs $19.60. What is the unit price?
Answer:
$2.45
Step-by-step explanation:
To find the unit cost, you divide the total cost by the number of units
19.60 ÷ 8 = 4.45
Find the values of a and b that make the following piecewise defined function both continuous and differentiable everywhere. f(x) = 3x + 4, X<-3
2x2 + ax + b. X>-3
The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.
To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.
On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.
Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.
Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.
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Helloooo please give the right answer :)
Answer:
9 feet
Step-by-step explanation:
3X3=9 feet therefore 3 yards is equal to 9 feet
This is confusing! Help me show my work and explain:( Its only for number 15
Step-by-step explanation:
I'm not really sure if this is the correct answer but I tried
Answer: Jan had 2 more gallons of orange juice than matt
Explanation: each are making 10 gallons
so add 8 and 2 on jans chart since we get 10 gall total
and for Matt's chart we are doing the same thing add 6 and 4
but since we are only calculating how much more oj they had we basically subtract 8 with 6
and there you go!
srry if i explained it wrong
Find the perimeter. Simplify your answer.
Answer:
20v-6
Step-by-step explanation:
To find the perimeter we have to add up all of our sides
9v-6+9v-6+2v+6
Combine light terms
20v-6
Given the frequency table, what percentage of the students in grades 9–10 like rap music? Round to the nearest whole percent. Band Preference for School Dance RapRockCountryRow totals Grades 9–10403055125 Grades 11–12652035120 Column totals1055090245
SOLUTION:
Case: Percentage
Given: Frequency table
Required: To find the percentage of the students in grades 9–10 like rap music
Method:
Step 1: First we find the total number of people in grades 9–10.
We see clearly from the tables that 125 students are in grades 9–10.
Step 2: Next we find the number of people in grades 9–10 who like rap music.
There are 40 students in grades 9–10 who like rap music.
Step 3: We express as this as a percentage of the whole
\(\begin{gathered} \frac{40}{125}\times100 \\ =32 \end{gathered}\)This is 32% of the students in grades 9-10.
Final answer:
32% of students of the students in grades 9–10 like rap music
Graham and hunter are circus performers. a cable lifts graham into the air at a constant speed of 1.5 ft/s. when graham’s arms are 18 ft above the ground, hunter, who is standing directly underneath graham, throws graham a ball as the cable continues to lift him higher. hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. which system of equations can be used to model this situation? startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t minus 16 t squared endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t 16 t squared endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t minus 16 t squared 2nd row h = 5 24 t 16 t squared endlayout
Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2.
What is the system of equation about?The equations that were given in the system above are :
h = 18 + 1.5t
h = 5 + 24t - 16t^2
Note that:
The rate of Speed = distance divided by time
Since Speed = 1.5ft/s
Distance = 18ft
To know the time which was not given, the equation will be:
1.5ft/s = 18ft/t
1.5t=18
The equation to know height h= 18 + 1.5t
Since Graham moved another 5ft along with a velocity of 24ft/s
Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2 and as such, option A is correct.
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Answer:
so its A
Step-by-step explanation:
edge 2023
Segment Segment X Y is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation?
Point M is the center of dilation. Segment A E has length of 1.5, B F has a length of 2, X Y has a length of 3, C G has a length of 5, and D H has a length of 6.
Answer:
segment BF
Step-by-step explanation:
2 V The soccer field at Niall's school is 98 meters long and 55 meters wide. What is the perimeter of the field?
Perimeter of the soccer field is 306 meters.
What is perimeter?A shape's perimeter is defined as the total length of its bounds. The perimeter of a shape is determined by summing all sides and side lengths that enclose the shape. It is measured in linear measurement units such as centimeters, meters, inches, and feet.
Given,
Length of the soccer field = 98 meters
Width of the soccer field = 55 meters wide
Perimeter of rectangle = 2(Length + Width)
Perimeter of soccer field = 2(98 + 55)
Perimeter of soccer field = 2(153)
Perimeter of soccer field = 306 meters
Hence, 306 meters is the perimeter of the soccer field.
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let a be a 5 5 complex matrix with what are the possible characteristic and minimal polynomials? if a is not diagonalisable, how many possible jordan normal forms are there for a?
There are infinitely many possible Jordan normal forms for a non-diagonalizable 5x5 complex matrix.
How there are infinitely many possible Jordan normal forms for a non-diagonalizable 5x5 complex matrix?Given that A is a 5x5 complex matrix, the possible characteristic polynomial will have degree 5, and the minimal polynomial will divide the characteristic polynomial and have degree at most 5.
If A is not diagonalizable, then there will be at least one Jordan block in the Jordan normal form of A. The size of the largest Jordan block will be equal to the algebraic multiplicity of the corresponding eigenvalue. Since the characteristic polynomial has degree 5, there can be at most 5 Jordan blocks, and their sizes must sum to 5.
Therefore, the possible Jordan normal forms for A are:
A single 5x5 Jordan block
Two Jordan blocks, one of size 4 and one of size 1
Two Jordan blocks, one of size 3 and one of size 2
Three Jordan blocks, one of size 3 and two of size 1
Three Jordan blocks, one of size 2 and two of size 1
Four Jordan blocks, each of size 1
The minimal polynomial will be the product of linear factors corresponding to the distinct eigenvalues of A, and each factor will have multiplicity equal to the size of the largest Jordan block corresponding to that eigenvalue.
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