Answer:
Step-by-step explanation:
Area of one triangular face = 0.5(base)(height) = 20 sq cm
Surface area = 4(20) = 80 sq cm
Answer:
A. \(80^2cm\\\)
Step-by-step explanation:
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I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have?
Willie Buggs Jr
Answer: You have $800.
Step-by-step explanation:
Please look at the graphs in the photo. Thank you!
(a). The graph of y = -f(x) is shown in the image below.
(b). The graph of y = g(-x) is shown in the image below.
How to draw the graph of the transformed functions?By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;
y = -f(x)
y = -|x + 2| - 4
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = rise/run
Slope (m) = -2/4
Slope (m) = -1/2
At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x - 0)
g(x) = -x/2 + 5, -4 ≤ x ≤ 4.
y = g(-x)
y = x/2 + 5, -4 ≤ x ≤ 4.
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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What is the gcf of 16,48,72
Answer:
The gcf of 16,48,72 is 4,12,18
Answer:
The GCF of 16,48,72 is 83x+18+4x+15=180 what is x
Answer:
x = 21
Step-by-step explanation:
Adding numbers:
3x+ 18 + 4x + 15 = 180
3x + 33 + 4x = 180
Combine Like terms:
3x + 33 + 4x = 180
7x + 33 = 180
Subtract:
7x + 33 - 33 = 180-33
7x = 147
Divide:
\( \frac{7x}{7} = \frac{147}{7} \) x = 21Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 4 ^2 -100x^x
The range of the function ƒ(x) = 4² - \(100x^{x}\) is (-∞, ∞), meaning that the function can take on any real value.
What is the range of the function?
The range of the function ƒ(x) = 4² - \(100x^{x}\) depends on the behavior of the function as x approaches positive or negative infinity.
As x approaches positive infinity, the second term of the function (\(100x^{x}\)) will grow much faster than the first term (16), so the entire expression will approach negative infinity. Therefore, there is no upper limit to the range of the function.
As x approaches negative infinity, the second term of the function will become very large and positive, since negative values raised to an odd power will be negative and positive values raised to an odd power will be positive. The first term (16) will remain constant. Therefore, as x approaches negative infinity, the entire expression will approach positive infinity.
So the range of the function ƒ(x) = 4² - \(100x^{x}\) is (-∞, ∞), meaning that the function can take on any real value.
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a line passes through the point (4,7) and has a slope of -5/2.
write an equation in point-slope form for this line
Hello there! :)
y-y1=m(x-x1)
y-(-7)=-5/2(x-4)
\(y+7=-\frac{5}{2} (x-4)\)
And that's our equation in point-slope form. Hope it helps!
~Just a felicitous teen
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\(SilentNature :)\)
Can somebody plz help!!
Marlena has a bag of coins the bag contains 8 quarters 10 dimes 4 nickels and 2 pennies she will randomly select a coin from the bag what is the probability that marlena will select a nickel?
A 1/12
B 1/3
C 1/6
D 1/5
What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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Out of 20 people how many would you expect to say that they like all seasons
Answer:
None
Step-by-step explanation:
Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.
Answer:
One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.
Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.
One way to construct a confidence interval for a proportion is to use the formula:
p ± z * sqrt(p * (1 - p) / n)
where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:
0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)
which simplifies to:
0.6 ± 0.22
or:
(0.38, 0.82)
This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.
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Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
if you double a number and then add 36, you get 4 over 11 (4/11) of the original number,
what is the original number?
Answer:
The original number is -22
Step-by-step explanation:
We'll label our mystery number x.
2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22
Plug in to confirm
-44 + 36 = -88/11S
8 = 8
P(6 or 7 or diamond or club) =
Answer:
The answer is 17/52. Explanation: The number of diamond cards is 13, and the number of '6' cards is 4 Picking one diamond out of 13 is 13C1
Step-by-step explanation:
Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school. Write an expression to show that each traveled the same distance.
Answer:
sqrt(15² + 3²) = sqrt(15² + 3²)
Step-by-step explanation:
Using Pythagoras:
15 blocks North = 15 blocks south (direction opposite to each other)
3 blocks west = 3 blocks east (directions opposite to each other)
Hence distance traveled (d) :
JARON
D = sqrt(15² + 3²)
MARISOL:
D = sqrt(15² + 3²)
Hence ;
sqrt(15² + 3²) = sqrt(15² + 3²)
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.
The equation for the situation is \(5x+6(0.95)=11.95\)
The solution to the equation is \(x=1.25\)
First, you must set up the equation.
\(5x+6(0.95)=11.95\)
Then, you must simplify the terms.
\(5x+5.7=11.95\)
Next, subtract 5.7 on both sides.
\(5x=6.25\)
Finally, divide 5 on both sides
\(x=1.25\)
The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.
The cost of 1 doughnut is x.
Total cost = $11.95
Total cost = 5(0.95) + 6x
11.95 = 5(0.95) + 6x
Or
5(0.95) + 6x = 11.95
After solving
x = $1.2
Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
The options are:
6(0.95) + 5x = 11.95
5(0.95) - 6x = 11.95
5(0.95) + 6x = 11.95
5(0.95) + 6(11.95) = x
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Jose added up his work hours for his paycheck. Last week he worked hours 25 5/8. This week he worked hours 32 5/6. How many total hours did he work in two weeks? with steps
Answer:
58 hours
Step-by-step explanation:
First week: 25 5/8 hours = 25 hrs 37 mins and 30 sec
Second weeK: 32 5/6 hrs = 32 hrs and 50 mins
To find the toal time in minutes
(37 + 50) mins = 1 hr 27 mins
Threfore, total number of hours he worked in two weeks:
(25 + 32 + 1) hrs = 58 hours
joey and his 4 friends went out to eat they decided to split the bill evenly Each person paid 11.13. What was the total bill? write an equation you could use to solve this equation. Use d as your variable.
Answer:
$44.52 is the total bill, d = 11.13 × 4
Which function has a greater maximum?
�
(
�
)
=
−
2
(
�
+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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how do i solve this problem?
Option A correctly describes the area of the graph of the function.
How is an area of the graph calculated?
The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.
It is the integration of the function polynomial of the possible values of x that the function curve lies in.
Here the function equation is : \(f(x) = ( 25 - x^{2} )\)
From the figure, we can see that the value of x varies from -5 to 5.
Initial x-value of integration = minimum value of x
= -5
Final x-value of integration = maximum value of x
= 5
Thus, the area of the graph can be correctly calculated as. :
\(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)
\(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)
Hence, Option A correctly calculates the area of the graph given.
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In a 21 meter race between a tortoise and a hare, the tortoise leaves 8 minutes before the hare. The hare by running at an average speed of 0.5 meter per hour faster than the tortoise, crosses the finish line 4 minutes before the tortoise. What are the average speeds of the tortoise and the hare?
Step-by-step explanation:
Let's call the average speed of the tortoise "t" (in meters per hour) and the average speed of the hare "h" (in meters per hour).
From the problem, we know that:
The tortoise leaves 8 minutes before the hare, so they have a 4-minute head start.
The hare crosses the finish line 4 minutes before the tortoise, so they have a 4-minute lead.
Therefore, the total time it takes for the hare to finish the race is 8 minutes less than the time it takes for the tortoise to finish the race. Let's call this time difference "dt".
The distance the hare runs is 21 meters, and the distance the tortoise runs is also 21 meters, so we have:
h * dt = 21 - t * (dt + 4 minutes)
To solve for the average speeds "t" and "h", we need to convert everything to units of hours. Let's convert 4 minutes to hours:
4 minutes = 4/60 hours = 1/15 hours
So, we can now rewrite the equation in terms of hours:
h * dt = 21 - t * (dt + 1/15 hours)
Rearranging and solving for t, we find:
t = (21 + h * dt) / (dt + 1/15)
Now, the hare runs 0.5 meters per hour faster than the tortoise, so:
h = t + 0.5
Substituting h = t + 0.5 into the equation for t, we get:
t = (21 + (t + 0.5) * dt) / (dt + 1/15)
Solving for t, we find:
t = 40/3 meters per hour
Finally, we can find the average speed of the hare by using h = t + 0.5:
h = 40/3 + 0.5 = 40/3 + 30/60 = 40/3 + 30/3 / 60 = 70/3 meters per hour
So the average speed of the tortoise is 40/3 meters per hour, and the average speed of the hare is 70/3 meters per hour
The equation C=24n+2 represents the cost
Jim did not buy any tickets (n_Jim = 0).
Larry bought 7 more tickets than Jim.
To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.
For Larry:
Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:
$170 = 24n + 2
Subtracting 2 from both sides:
$168 = 24n
Dividing both sides by 24:
n = 7
For Jim:
We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:
n_Jim = n_Larry - 12
n_Jim = 7 - 12
n_Jim = -5
Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).
To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:
n_difference = n_Larry - n_Jim
n_difference = 7 - 0
n_difference = 7
Therefore, Larry bought 7 more tickets than Jim.
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Question
The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12
What is the limit of the difference quotient of that
solve expression
3x(-x-5)
HEEELLLLPPP!
Whoever answers right will get brainliest!!!!!!!!!
Answer:
\(y =\frac{x}{4}\)
Step-by-step explanation:
Pre-SolvingWe are given several functions, and we want to figure out which one is linear.
A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.
SolvingLet's go through the list.
Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.
Even though y has a power of 1, this is NOT linear, because x has a power of -1.
Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.
For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.
This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.
This means that \(y=\frac{x}{4}\) is linear.
which number line shows the solution of 5x - 25 < -15
what is simplified answer of the absolute value of 5 3/4
Answer:
\(5 \times \frac{3}{4} = \frac{5 \times 4 + 3}{4 } = 23 \div 4 = 5.75\)
Step-by-step explanation:
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Question 4 of 25
Which of the following is the graph of the quadratic function y= x2 - 4x + 4?
10
H
10
- 10
10
10
10
90
-20
-10
A.
B.
C.
D.
A. Graph A
B. Graph D
C. Graph B
O D. Graph C
Answer:
D)graph c
Step-by-step explanation:
it's my opinion do not take it as important
what is the area of the figure
Answer:
112.5ft^2
Step-by-step explanation:
10 x 9 = 90
9 × 5 × .5 = 22.5
90 + 22.5 = 112.5