Answer:
1:14
Step-by-step explanation:
15/15 = 1
210/15 = 14
Answer:
1 ft:14 ft
Solution,
15/210
just divide 15 and 210 by 15.
you will get 1/14
Hope it helps...
Good luck on your assignment
Downtime refers to the time duration that the service is unavailable, how much cumulative downtime per year will an sla percentage of 99.95 give?
The cumulative downtime per year of an SLA percentage of 99.95 is 4 hours, 21 minutes, 58 seconds.
How much cumulative downtime per year will an SLA percentage of 99.95 give?The SLA Downtime refers to the time duration that a machine or service is unavailable.
The SLA Uptime is the amount of time a machine or service is available.
The cumulative downtime per year of an SLA percentage of 99.95 will give the following:
An SLA percentage of 99,95 gives 43 seconds daily downtime.
In a year, cumulative downtime = 43 seconds * 365 = 15695 seconds
Converting to hours and minutes give a downtime of 4 hours, 21 minutes, 58 seconds.
In conclusion, downtime refers to unavailability of a given machine or service.
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What evidence is needed to prove two triangles are similar by the SSS similarity theorem?
Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.
So, ∠P = ∠E and ∠Q = ∠F.
Hence, we can write: DP/DE = DQ/DF= PQ/EF.
The above expression is written as
DP/DE = DQ/DF=BC/EF.
It means that PQ = BC.
Hence, the triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ.
Thus, by using the AAA criterion for similarity of the triangle, we can say that
∠A = ∠D, ∠B = ∠E and ∠C = ∠F.
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Prove that in any group of 6 people there are always at least 3 people who either all know one-another or all are strangers to one-another.
Hint: Use the pigeonhole principle.
I don't see how this applies to the pigeonhole principle because I keep imagining a group of 4 strangers, and then 2 friends. This would be 6 total but against what the proof is asking. Maybe I don't understand the proof in question...
In any group of 6 people there always at least 3 people who either all know one-another or all are strangers to one-another.
The Pigeonhole principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.
The Pigeonhole principle applies because every person is related to every other person in two ways, either they know the person or they do not.
Given that there is a group of 6 people.
Let us say A,B,C,D,E,F.
Suppose that A has at least three friends. If any two of these three are friends with each other, then together with A, they are a group of three mutual friends. If none of these are friends with each other, then they are a group of three mutual strangers to themselves.
On the other hand, A has fewer than three friends among the other five people, then there must be at least three that are strangers to A. If any two of these are strangers, then together with A, they are a group of three strangers. If none of them are strangers to each other, then they are a group of at least three mutual friends.
Hence it is proved that, in any group of 6 people there are always at least 3 people who either all know one-another or all are strangers to one-another.
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help please!!!!!!!!!
NEED ANSWER ASAP! State the possible RATIONAL zeros for the function. Then find all the rational zeros. Use the rational zeros theorem (p/q) and please show work!! tysm!!!
the function:
f(x) = 3x^3 + 11x^2 + 5x - 3
Answer:
Use the Rational Zero Theorem to find rational zeros
Step-by-step explanation:
helppp ill mark u as brain list
Answer:
3 pounds! Do you remember me Im GamerSquash1w My other account got deleted
Step-by-step explanation:
write the equation of each line in slope intercept form
The equation of each line in slope intercept form y = 2x + 3,x = 4
The equation of a line in slope-intercept form (y = mx + b), the slope (m) and the y-intercept (b). The slope-intercept form is a convenient way to express a linear equation.
Equation of a line with slope m and y-intercept b:
y = mx + b
Equation of a vertical line:
For a vertical line with x = c, where c is a constant, the slope is undefined (since the line is vertical) and the equation becomes:
x = c
An example for each case:
Example with given slope and y-intercept:
Slope (m) = 2
y-intercept (b) = 3
Equation: y = 2x + 3
Example with a vertical line:
For a vertical line passing through x = 4:
Equation: x = 4
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Answer:
y=mx+b
Step-by-step explanation:
Hi, may someone help me with this?
solve the equation 7x-2(x-10)=40
Answer:
7
−
2
(
−
1
0
)
=
4
0
7x{\color{#c92786}{-2(x-10)}}=40
7x−2(x−10)=40
7
−
2
+
2
0
=
4
0
Step-by-step explanation: therefore your answer would be x=4
BRAINLIEST PLEASE
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7x−2(x−10)=40
7x+(−2)(x)+(−2)(−10)=40(Distribute)
7x+−2x+20=40
(7x+−2x)+(20)=40(Combine Like Terms)
5x+20=40
5x+20=40
Step 2: Subtract 20 from both sides.
5x+20−20=40−20
5x=20
Step 3: Divide both sides by 5.
5 divided by 20 = 4
5 divided by 5 =1
x=4
In Exercises 3-4, use the Subspace Test to determine which of the sets are subspaces of Mnn 3. a. The set of all diagonal n × n matrices. b. The set of all n x n matrices A such that det(A) = 0. c. The set of all n x n matrices A such that tr(A) = 0. d. The set of all symmetric n x n matrices
The set of all diagonal n × n matrices is a subspace of Mnn3.
Given, we need to use the Subspace Test to determine which of the sets are subspaces of Mnn3 and the sets are: The set of all diagonal n × n matrices.
The set of all n x n matrices A such that det(A) = 0.The set of all n x n matrices A such that tr(A) = 0.The set of all symmetric n x n matrices.
Subspace Test: A nonempty subset H of a vector space V is a subspace of V if for every u and v in H and every scalar c, the vector cu + v is in H.
The set of all diagonal n × n matrices.Here, we have to prove that the set of all diagonal matrices is a subspace of Mnn3.
Let A and B be two diagonal matrices. Then, A + B is also a diagonal matrix. Since the diagonal elements of A + B are equal to the sums of the corresponding diagonal elements of A and B. So, the set of all diagonal matrices is closed under addition. Let A be a diagonal matrix and c be a scalar.
Then, cA is also a diagonal matrix. Since the diagonal elements of cA are equal to the product of c and corresponding diagonal elements of A. So, the set of all diagonal matrices is closed under scalar multiplication.
Therefore, the set of all diagonal matrices is a subspace of Mnn3. Hence, the main answer is: a. The set of all diagonal n × n matrices is a subspace of Mnn3.
We have used the subspace test to prove that the set of all diagonal n × n matrices is a subspace of Mnn3. The subspace test is used to verify whether a given subset of a vector space is a subspace or not.
We have proved that the set of all diagonal matrices is closed under addition and scalar multiplication.
The diagonal elements of A + B are equal to the sums of the corresponding diagonal elements of A and B. And the diagonal elements of cA are equal to the product of c and corresponding diagonal elements of A.
Therefore, the set of all diagonal matrices satisfies all the three properties required for a subset to be a subspace.
Hence, the set of all diagonal n × n matrices is a subspace of Mnn3.
In conclusion, we can say that the set of all diagonal n × n matrices is a subspace of Mnn3 as it satisfies the subspace test.
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billy has $3 bubble gum cost $.30. he bought four pieces how much money does billy have left
Answer: $1.08
Step-by-step explanation:
30cent x 4 = 120 cents. 1 dollar and 20 cents, $3 - $1.20 = $1.08
Answer:
Billy has 1.8 dollars left.
Step-by-step explanation:
So, .30 x 4 is 1.2. I subtracted 1.2 from 3 and got 1.8. I hope it's the right answer and wish you luck on the rest of your work!
find the equation of line slope 5 and intercept -5 on the y-axis
Answer:
Step-by-step explanation:
Equation is in form \(y=mx+b\) where m is slope and b is y-intercept:
\(y=5x-5\)
The answer is:
y = 5x - 5Work/explanation:
When finding a line's equation, we make the decision about which form of the equation we should choose. We choose the right form based on the pieces of information that we're given.
Here are the 3 forms :
Standard formForm : \(\boldsymbol{ax+by=c}\)
Slope intercept formForm : \(\boldsymbol{y=mx+b}\)
Given : The slope and the y-intercept
Where : m = slope and b = y intercept
Point slope formForm : \(\boldsymbol{y-y_1=m(x-x_1)}\)
Given : The slope and a point on the line
Where : m = slope and (x₁, y₁) is a point
_______________________________________
Given the slope and the y intercept, we know that the right form is slope intercept.
Having plugged in the data, we see that the answer is \(\boldsymbol{y=5x+(-5)}\), or
\(\boldsymbol{y=5x-5}\).
Hence, the answer is y = 5x - 5.What is the length of BD?
Answer: BD = 9 units
Step-by-step explanation:
ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.
19.2 / 32 = 0.6
15 * 0.6 = 9
So the length of side BD is 9 units.
Answer:
9 units
Step-by-step explanation:
If a finite number of terms are added to a convergent series, then the new series is still convergent.True/False
Answer:
True
Step-by-step explanation:
The statement is true. If a finite number of terms are added to a convergent series, then the new series is still convergent.
A convergent series is a series whose sum approaches a finite limit as the number of terms increases. When you add a finite number of terms to a convergent series, the sum of the series is simply increased by the sum of those additional terms. Since the original series converges to a finite limit, adding a finite sum to that limit will result in another finite limit, meaning that the new series will also be convergent.
In summary, adding a finite number of terms to a convergent series does not change its convergence properties and will result in a new convergent series with an updated finite limit.
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A line passes through the points (−8,−7) and (−4,−4). What is the equation of the line in Slope-Intercept Form? (A y=43x−1) (B y=34x−1) (C y=43x+1) (D y=34x+1)
Answer:
y=43x−1
Step-by-step explanation:
The equation of the line in Slope-Intercept Form is B: y = (3/4)x − 1.
What is the meaning of Slope-Intercept Form?The slope intercept form of such a straight line is among the most common ways to represent a line's equation. When given the slope of a straight line and the y-intercept, the slope intercept equation can be utilized to find the equation of a line.For the given question.
The line passes through the points-
(x1, y1) = (−8,−7)
(x2, y2) = (−4,−4).
Find the slope using formula;
slope = m = (y2 - y1)/(x2 - x1)
m = (-4 + 7)/(-4 + 8)
m = 3/4
The equation of the line in slope intercept form is found by;
y - y1 = m(x - x1)
y + 7 = (3/4)(x + 8)
y = (3/4)x - 1
Thus, the equation of the line in Slope-Intercept Form is B: y = (3/4)x − 1.
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Question * Let D be the region enclosed by the two paraboloids z = 3x² + 12/²4 y2 z = 16-x² - Then the projection of D on the xy-plane is: 2 None of these 4 16 This option This option = 1 This opti
The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").
To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.
First, let's set the two equations equal to each other:
3x² + (12/24)y² = 16 - x²
Next, we simplify the equation:
4x² + (12/24)y² = 16
Multiplying both sides by 24 to eliminate the fraction:
96x² + 12y² = 384
Dividing both sides by 12 to simplify further:
8x² + y² = 32
Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:
(x²/a²) + (y²/b²) = 1
Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.
So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.
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Round 3,996 to the nearest ten thousand
Answer:
0
Step-by-step explanation:
3996 is closer to 0 than 10,000
Hello this is algebra 2 or geometry im looking for number 2 and the question includes finding the period and amplitude. The third part is to sketch one cycle of the graph of the function.
Solution:
Given the function below
\(y=2\cos\frac{\pi}{3}\theta\)Applying the general cosine function formula
\(\begin{gathered} y=a\cos(bx-c)+d \\ Where \\ a\text{ is the amplitude} \\ Period=\frac{2\pi}{b} \end{gathered}\)The amplitude is
\(a=2\)The period is
\(\begin{gathered} Period=\frac{2\pi}{b} \\ b=\frac{\pi}{3} \\ Period=\frac{2\pi}{\frac{\pi}{3}}=2\pi\times\frac{3}{\pi}=2\times3=6 \end{gathered}\)Hence, the period is 6 and amplitude is 2
The graph of the function is shown below
A chocolatier has 24 caramels chocolates and 36 milk chocolates to put in a boxes each box must have the same number of each type of chocolate what is the greatest number of boxes that the chocolatier can make using all the chocolates
Answer: 4 boxes
Step-by-step explanation: 6 caramel chocolates and 9 milk chocolates in each box.
What is the value of x?
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol. See: Variable.
Step-by-step explanation:
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 3 out of 20 times. What is the experimental probability that the next marble will be red? Write your answer as a fraction, decimal, or percent. The experimental probability that the next marble will be red is
Answer:
3/20 or 0.15 or 15%
Step-by-step explanation:
Since 3 red marbles were drawn out of 20 outcomes, the probability the next marble will be red is 3/20. If you convert it to a decimal it will be 0.15, and if you convert it to a percent it will be 15%.
Calvin owns a toy store. He can spend at most $200 on restocking cars and dolls. A doll costs $6.50, and a car costs $8.00. Let x represent the number of cars, and let y represent the number of dolls. Identify an inequality for the number of toys he can buy. Then identify the number of dolls Calvin can buy if he buys 10 cars.
8x + 6.50y ≤ 200; no more than 19 dolls
8x + 6.50y ≤ 200; no more than 18 dolls
6.50x + 8y ≤ 200; no more than 19 dolls
6.50x + 8y ≤ 200; no more than 18 dolls
The required inequality expression is 8x + 6.50y ≤ 200
Maximum amount he can spend = $200
Cost of doll, = $6.50
Cost of car = $ 8.00
Mathematically, the maximum amount he can spend on restocking is cars and doll is :
(Cost of cars × number of cars) + (cost of doll × number of dolls) ≤ maximum amount
8x + 6.50y ≤ 200
Hence, the required inequality expression is : 8x + 6.50y ≤ 200
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Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.
Please help aNd thank you!!!
Answer:
(i) 4000
(ii) $5.00
Step-by-step explanation:
Let no. of shares of Company A be X
Let share price of Company B on Day 7 be $y
Share price of Company B on Day 12 = $(y-0.50)
(i)
Consider Day 7:
4.60x - 2000y = 7400................ (1)
Consider Day 12:
4.80x - 5000(y-0.50) = -5800
4.80x - 5000y + 2500 = -5800
4.80x - 5000y = -8300............... (2)
(1)*2.5:
11.5x - 5000y = 18500................. (3)
(3)-(2):
11.5x - 4.80x - 5000y + 5000y = 18500 + 8300
6.70x = 26800
x = 4000
(ii)
Sub. x = 4000 into (1):
4.60(4000) - 2000y = 7400
-2000y = 7400 - 18400
-2000y = -11000
y = 5.5
Share price of Company B on Day 12
= 5.50 - 0.50
= $5.00
How can I use a scale to help me find the actual perimeter of an object if I already know the perimeter of the scale drawing?
Answer:
Lets say you have a scale of 2 actual feet is equal to 1 graph inch. And lets say you have a perimeter of 24 inches. You know that for every inch I have graphed, it's an actual 2 feet. So if you multiply those 24 inches by 2, then you will get 48. And you need to change the units to match the description, so I will need to change inches to feet. This will get me 48 feet of perimeter in real life.
A standard six-sided die is rolled 1313 times. What is the standard deviation of the number of times an even number will be rolled
The standard deviation of the number of times an even number will be rolled is 17.441.
We can use the standard deviation formula to calculate the standard deviation of the number of times an even number will be rolled. The formula is S = √(Σ(x - M)²/n) , where x is each number rolled, M is the mean number of even numbers rolled, and n is the number of rolls.
First, we need to calculate the mean number of even numbers rolled. Since there are 3 even numbers (2, 4, and 6), the mean number of even numbers rolled is (3/6) × 1313 = 656.5.
Next, we calculate the sum of the squared differences for each of the 3 even numbers.
For 2, we get (2-656.5)² + (4-656.5)² + (6-656.5)² = 1694.25 + 8997.25 + 24606.25 = 39598.75.
Finally, we can use the formula to calculate the standard deviation.
S = √(39598.75/1313) = 17.441
Therefore, the standard deviation of the number of times an even number will be rolled is 17.441.
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The gradient of a curve at the point (x,y) is given by dy/dx=2(x+3)^1/2-x. The curve has a stationary point at (a,14), where a is a positive constant. Find the value of a.
Using the gradient of the curve given, the value of a is 6
What is the value of aThe stationary point of a curve is a point where the slope of the curve is equal to zero. So, to find the value of a, we need to set the derivative of the curve equal to zero and solve for x.
dy/dx = 2(x + 3)^(1/2) - x
Setting this equal to zero, we have:
2(x + 3)^(1/2) - x = 0
Expanding the square root and rearranging, we get:
x = 2(x + 3)^(1/2)
Squaring both sides of the equation, we have:
x^2 = 4(x + 3)
Expanding the right side and rearranging, we have:
x^2 - 4x - 12 = 0
Using the quadratic formula, we can find the values of x that satisfy this equation:
x = [-(-4) ± √((-4)^2 - 4(1)(-12))] / 2(1)
x = [4 ± √(16 + 48)] / 2
x = [4 ± √64] / 2
x = [4 ± 8] / 2
So, the two possible values of x are:
x = 6, x = -2
Since we are looking for a positive value of x, the only solution that works is x = 6.
Therefore, the value of a is equal to 6.
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Write a function called get_user_choice() that takes a list of strings as arguments. When the function is called, it should ask the user to make a selection from the options listed in the given list. Then it should get input from the user. If the user doesn't input one of the given choices, then the program should repeatedly ask the user to pick from the list
The `get_user_choice()` function prompts the user to select an option from a provided list, ensuring that only valid choices are accepted before returning the selected option.
The `get_user_choice()` function is designed to obtain user input by asking them to select an option from a provided list of strings. It operates using a while loop that continues until a valid choice is entered. Within the loop, the function prompts the user for their choice using the `input()` function and stores it in the `user_choice` variable.
The function then checks if the `user_choice` exists in the `options` list using the `in` operator. If the choice is found in the list, the function returns the `user_choice`. Otherwise, it informs the user that their input is invalid and requests them to try again. The loop continues until a valid choice is entered by the user, ensuring that the function returns a valid option from the provided list.
This implementation allows for flexible usage by accepting any list of options. The user can select from the options provided, and if an invalid choice is entered, the program will continue to prompt until a valid option is chosen. This ensures that the user's selection is validated, providing a robust and user-friendly way to obtain input within the specified options.
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21. Given that f(x)= x^3– x² + 5x and g(x)= x^3 +5x^2 –2 determine
(g-f)(x)
Answer:
(g - f)(x) = 6x² - 5x - 2
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x³ - x² + 5x
g(x) = x³ + 5x² - 2
(g - f)(x) is g(x) - f(x)
Step 2: Evaluate
Substitute: (g - f)(x) = x³ + 5x² - 2 - (x³ - x² + 5x)Distribute -1: (g - f)(x) = x³ + 5x² - 2 - x³ + x² - 5xCombine like terms: (g - f)(x) = 6x² - 5x - 2Question 1 (1 point)
A quadratic has a vertex at (3,-2) and goes through the point (1,6). Create a function that models this quadratic by filling in the missing
numbers for a, h and k. f(x) =
(X
32 +
Blank 1:
Blank 2:
Blank 3: