TX IS THE OVERALL MAGNITUDE OF THE LINE
TX IS THE OVERALL MAGNITUDE OF THE LINE WHICH IS MADE BY TW+WX
MATHEMATICALLY
TX=TW+WX
\((5x - 9) = (3x + 5) + 10 \\ 5x - 9 = 3x + 5 + 10 \\ 5x - 3x = 5 + 10 + 9 \\ 2x =24 \\ \frac{2x}{2} = \frac{24}{2} \\ x = 12\)
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how can we represent a time that came before a specific zero point
Answer:
by stating what the time was before the zero point came.
Step-by-step explanation:
ANSWER QUICK PLS
ANSWER QUICK PLS
The angle of elevation from the bottom of a slide to the top of the slide is
44°. If the top of the slide sits 16 feet above the ground, find the length of
the slide. Assume it is a straight slide.
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pls help me with this
Answer:
A = kr²
Step-by-step explanation:
Given A is directly proportional to r² then the equation relating them is
A = kr² ← k is the constant of variation
Make s the subject of the formula
Answer:
choose option E.
Step-by-step explanation:
Given
t² = 2p + as
.Making s as the subject
as = t² - 2p
s = ( t² - 2p) / a
t² = 2p + as
t² - 2p = as
(t² - 2p)/a = s
s = (t² - 2p)/a , answer = E
backtracking with conflict-directed back-jumping, where the variable order is (a1, h, a4, f1, a2, f2, a3, t), and the value order is (red, green, blue)
In backtracking with conflict-directed back-jumping, the search for a solution to a problem is performed using a depth-first search algorithm. The variable order you mentioned, (a1, h, a4, f1, a2, f2, a3, t), represents the sequence in which variables are assigned values during the search. The value order, (red, green, blue), indicates the order in which the algorithm will try assigning different values to the variables.
Conflict-directed back-jumping is an improvement over basic backtracking, as it helps reduce the search space by identifying and jumping over irrelevant parts of the search tree. When a conflict (i.e., an unsolvable assignment) is encountered, the algorithm doesn't simply backtrack to the previous variable but rather identifies the cause of the conflict and jumps back to the most recent variable responsible for the conflict. This allows the algorithm to skip parts of the search tree that are guaranteed not to yield a solution.
In summary, backtracking with conflict-directed back-jumping is an efficient search technique that uses a specific variable and value order to assign values during the search. It improves upon basic backtracking by identifying the cause of conflicts and jumping back to the most recent relevant variable, thus reducing the search space and time complexity.
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Evaluate (m4+5)−n3 if m=−2 and n=−4 .
Step-by-step explanation:
( m⁴+5)-n³((-2)⁴+5)-(-4)³(16+5)-(-64)21+6485This right if not help me please.... for brainliest....
Answer:
Is 5/-1, -5?
Step-by-step explanation:
because if it is you are correct
A cup of cereal has 12 grams of fiber, which is 40% of the amount of fiber jared’s doctor recommends he consume each day. how much fiber does jared’s doctor recommend he consume each day?
The amount of fiber asked by the doctor to be consumed is 30 grams .
Method to calculate percentages :
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100 .
Let the amount of fiber asked by the doctor to be consumed be x .
According to question ,
40 % of x = 12
Solving the equation ,
( 40 / 100 ) * x = 12
x = 1200 / 40
x = 30
Hence , the amount of fiber asked by the doctor to be consumed is 30 grams .
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Answer:
30
Step-by-step explanation:
The series Σ 1 / (n+9) (n+10). 1 (+9) is ____ and n = 0 a. its sum is 1/9 b. its sum is 9 c. its sum is 0 d. its sum is 1/10 e. there is no sum
The correct option, for the sum of the series is
d. its sum is 1/10
How to fill the blankTo find the sum of the series Σ 1 / (n+9)(n+10), we can rewrite it as follows:
Σ 1 / (n+9)(n+10) * 1(n + 9) = Σ (1 / (n+9)) - (1 / (n+10)) * 1(n + 9)
Now, let's evaluate the terms of the series:
When n = 0:
Term 1: 1 / (0+9) = 1/9
Term 2: 1 / (0+10) = 1/10
Term 3: 1(0 + 9) = 9
Therefore, the sum of the series when n = 0 is:
(1/9 - 1/10) * 9 = 1/90 * 9
So, the sum of the series when n = 0 is 1/10.
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PLS HELP ME!!!!!!!!!!
Answer:
1) yes, SAS
2) yes, AAS
3) yes, SAS
4) not enough information to know
Step-by-step explanation:
pie charts are most effective with ten or fewer slices.
Answer:
True
Step-by-step explanation:
When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line of symmetry? What is the other zero of the quadratic function?
Given:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.
To find:
The other zero.
Solution:
We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.
It means, line of symmetry passes through the mid point of both zeroes.
Let the other zero be x.
\(-3.5=\dfrac{(-9)+x}{2}\)
Multiply both sides by 2.
\(-7=-9+x\)
Add 9 on both sides.
\(-7+9=-9+x+9\)
\(2=x\)
Therefore, the other zero of the quadratic function is 2.
Answer: A=0, B=6, C=4.
The axis of symmetry is x = ½
The smaller zero is -2
The larger zero is 3
Step-by-step explanation: Correct in edge 2020, the format makes it hard to find answers online but I just did the assignment
A(n) ___X___ is defined before observing the sample, while a(n) ___Y___ is the values of the ___X____ when evaluated at a particular sample.
Select one:
a. X = data; Y = random variable
b. X = estimator; Y = statistic
c. X = estimate; Y = estimator
d. X = estimator; Y = estimate
The correct answer is:
a. X = data; Y = random variable
In statistics, "data" refers to the collection of observations or measurements made on a particular variable or set of variables. X is typically used to represent the random variable of interest, which is defined before any data is collected.
On the other hand, a statistic is a function of the data that is used to estimate a population parameter or describe some aspect of the data. An estimator is a formula or algorithm used to calculate a statistic based on a sample of data. The values of the estimator when applied to a particular sample are called estimates.
Therefore, X is not an estimator or estimate but rather the random variable being studied, while Y represents the values of X observed in a particular sample, making it a random variable as well.
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Find measure FGH
A) 238
B) 119
C) 196
Answer:
238
Step-by-step explanation:
Important note: ∠FAH is an inscribed angle and arc mFGH is it's intercepted arc
opposite angles in a quadrilateral formed inside of a circle area supplementary
Supplementary meaning that they add up to equal 180
So 13x + 15 + 8x - 3 = 180
We now solve for x
step 1 combine like terms
13x + 8x = 21x
15 - 3 = 12
12 + 21x = 180
step 2 subtract 12 from each side
12 - 12 cancels out
180 - 12 = 168
21x = 168
step 3 divide each side by 21
21x / 21 = x
168 / 21 = 8
we're left with x = 8
Now we substitute 8 for x in 13x + 15
13 ( 8 ) + 15
13 * 8 = 104
104 + 15 = 119
So ∠FAH = 119
Recall that an included angle is equal to half the measure of its intercepted arc.
so arc mFGH = 2 (119)
2 * 119 = 238
Therefore your answer is A
you cannot directly assign an enumerator to an int variable.
a. true b. false
Answer:
Step-by-step explanation:
True.
An enumerator is a special data type in some programming languages that allows us to give names to integer values, making the code more readable and easier to maintain.
However, an enumerator cannot be directly assigned to an int variable because they are not compatible data types. An int variable can only store integer values, while an enumerator is a named constant that represents an integer value.
To assign an enumerator to an int variable, we need to explicitly cast the enumerator to an int using type conversion.
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The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd
Answer:
6.3 yards
Step-by-step explanation:
mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle
we have this as;
C = 2 * pi * r
r is 1 yard
c = 2 * pi * 1 = 2pi yards = 6.3 yards
Dillon and Samantha work at two different grocery stores. Dillon made $41.50 for working 5 hours and Samantha made $50.40 for 6 hours. Who makes more money per hour?
Answer:
Samantha makes more money with $8.40 an hour.
Explanation:
$41.50 divided by 5 is $8.30, and %50.40 divided by 6 is $8.40.
Answer:
Samantha makes more
Step-by-step explanation:
Dillon:
41.50/5 would = $8.3 an hr
Samantha:
50.40/6 would =$8.4 an hr
2. Use the distributive property to
write an equivalent expression.
5. (6 + 9) =
Answer:
3(2 + 3)
Step-by-step explanation:
both answers equal 15
Answer:
(9+6)
Step-by-step explanation:
3/2 (x-5) - 3/2 = 9/2 x solve and verify
Answer:
x = -2
Step-by-step explanation:
3/2 (x-5) - 3/2 = 9x/2
3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator
are 2 so we can multiply all term by 2
2(3x/2 - 15/2 - 3/2 = 9x/2)
3x - 15 - 3 = 9x ... simplify it
3x - 12 = 9x
-12 = 9x - 3x ... take 3x to the left
-12 = 6x ... simplify
6x/6 = -12/6 ... dividing both side by 6
x = -2 ... simplify and solve x
Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers
Answer:
12
Step-by-step explanation:
No. of red flyers = 6
No. of blue flyers = 4
We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.
Prime factorization of 6 = 2×3
Prime factorization of 4 = 2×2
Lowest common multiple of 6 and 4 = 12
Hence, there are 12 minimum number of flyers of each color
100 - [5 x (3 + 4)] how does this equal 65
Now we have to,
→ prove that 100 - [5 × (3 + 4)] = 65.
Let's solve the problem,
→ 100 - [5 × (3 + 4)] = 65
→ 100 - [5 × 7] = 65
→ 100 - 35 = 65
→ 65 = 65
→ LHS = RHS
Hence, proved the equation.
According to survey data, the distribution of arm spans for females is approximately Normal with a mean of 65.2 inches and a standard deviation of 3.4 inches. a. What percentage of women have arm spans less than 61 inches? b. A particular female swimmer has an estimated arm span of 73 inches. What percentage of females have an arm span leas at lerson? a. The percentage of women with arms spans less than 61 inches is % (Round to one decimal place as needed.) b. The Z-score for an arm span of 73 inches is (Round to two decimal places as needed.) The percentage of females who have an arm span at least as is
The percentage of females who have an arm span at least as 73 inches is 1.1%.
a) To find the percentage of women with arm spans less than 61 inches, we need to standardize the value using the Z-score formula, where Z = (X - µ) / σZ = (61 - 65.2) / 3.4Z = -1.24.
Using a standard normal distribution table or calculator, the probability of getting a Z-score less than -1.24 is 0.1075 or approximately 10.8%.Therefore, the percentage of women with arm spans less than 61 inches is 10.8%.
b) To find the percentage of females who have an arm span at least as 73 inches, we need to standardize the value using the Z-score formula, where Z = (X - µ) / σZ = (73 - 65.2) / 3.4Z = 2.29
Using a standard normal distribution table or calculator, the probability of getting a Z-score greater than 2.29 is 0.0112 or approximately 1.1%.Therefore, the percentage of females who have an arm span at least as 73 inches is 1.1%.
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d²y dt² dy dt t=0 -y=ty(0) = 1, Hint show that and use following partial fraction expansion 1 1 1 1 8² (6²-1) = -3/721 + 2(S-1) 2(s+1) = 1
The solution of the given differential equation is;y(t) = (-1/2) * e^(-1/4t) * sin(√t - 1/4) + (3/2) * e^(-1/4t) * sin(√t - 1/4)
We are given;d²y/dt² + dy/dt + ty = 1; y(0) = 1 ...equation [1]To solve this equation, we will use Laplace Transform.
The Laplace Transform of y(t) is denoted by Y(s), defined as;Y(s) = L(y(t)) = ∫₀^∞ y(t) e^(-st) dt
The Laplace Transform of the first derivative, dy/dt of y(t) is;L(dy/dt) = sY(s) - y(0)
The Laplace Transform of the second derivative, d²y/dt² of y(t) is;L(d²y/dt²) = s²Y(s) - s*y(0) - y'(0),where y'(0) = dy/dt(t=0)
From equation [1], we can apply the Laplace Transform as follows;s²Y(s) - s*y(0) - y'(0) + sY(s) - y(0) + tY(s) = 1
Substituting the initial conditions, we have;s²Y(s) - s*1 - y'(0) + sY(s) - 1 + tY(s) = 1s²Y(s) + sY(s) + tY(s) = 2 + y'(0) + 1 [since y(0) = 1]s²Y(s) + sY(s) + tY(s) = y'(0) + 3 ........equation [2]
We know that;1 / (s² + s + t) = Y(s)
By using partial fraction decomposition ;1 / (s² + s + t) = A(s+1) + B(s+1) / (s² + s + t)
By equating numerators;1 = A(s² + s + t) + B(s+1)
Expanding the brackets and comparing the coefficients, we get;1 = A+B ...........equation [3]
0 = A+B+1 .....equation [4]
From equation [3], we have;A = 1-B
Substituting into equation [4];1-B+B+1 = 0; 2B = -2B = -1
From equation [3], we have;A = 1 - (-1) = 2
By substituting these values into the partial fraction decomposition, we have;1 / (s² + s + t) = 2(s+1) / (s² + s + t) - (1/2)(s+1) ........equation [5]
Substituting equation [5] into equation [2];s²Y(s) + sY(s) + tY(s) = y'(0) + 3;Y(s) = (y'(0) + 3) / (s² + s + t) - 2(s+1) / (s² + s + t) + (1/2)(s+1) / (s² + s + t)
Taking the inverse Laplace Transform of Y(s);y(t) = L^-1 (Y(s)) = L^-1 [(y'(0) + 3) / (s² + s + t)] - L^-1 [2(s+1) / (s² + s + t)] + L^-1 [(1/2)(s+1) / (s² + s + t)]
To take the inverse Laplace Transform, we can use the following formula;L^-1 [1 / (s² + s + t)] = e^(-1/4t) * sin(√t - 1/4)
We have;y(t) = (y'(0) + 3) * e^(-1/4t) * sin(√t - 1/4) - 2 * e^(-1/4t) * sin(√t - 1/4) + (1/2) * e^(-1/4t) * sin(√t - 1/4)
To find y'(0), we can differentiate equation [1] with respect to t, we get;d³y/dt³ + d²y/dt² + t(dy/dt) = 0
Substituting t=0 and y(0) = 1, we get;d³y/dt³ + d²y/dt² = 0
Therefore;y''(0) = -y'''(0)y''(0) = -(d/dt)(d²y/dt²)
Substituting equation [1] into the above equation, we get;y''(0) = -(d/dt)(1+ty)dy/dt + y' = 0
Substituting t=0 and y(0) = 1, we get;y'(0) = 0
Substituting this value into the equation of y(t), we get;y(t) = (3/2) * e^(-1/4t) * sin(√t - 1/4) - 2 * e^(-1/4t) * sin(√t - 1/4) + (1/2) * e^(-1/4t) * sin(√t - 1/4)y(t) = (-1/2) * e^(-1/4t) * sin(√t - 1/4) + (3/2) * e^(-1/4t) * sin(√t - 1/4)
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Square the binomial (r+s). what is the result?
a) r^2+s^2
b) r^2+2rs+s^2
c) 2r+2s
d) r^2+rs+s^2
Answer:
answer is b)
\( {(r + s)}^{2} = {r}^{2} + 2rs + {s}^{2} \)
water is leaking out of an inverted conical tank at a rate of 10,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. the tank has height 6 m and the diameter at the top is 4 m. if the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm3/min) at which water is being pumped into the tank.
The rate at which water is being pumped into the tank is 11,760 cm3/min.
How to find rate?The formula for the volume of a conical tank is:V = (1/3)πr2h
Where r is the radius of the tank, and h is the height of the tank.Find the radius of the tank at a height of 2 m.Using similar triangles:
(r / 2) = (2 / 6)
r = 2/3 * 4r = 8/3 cm
The formula for the rate of change of volume of a conical tank is:dV / dt = (πr2 / 3)dh / dt
dV / dt = pump rate - leak rate
= pump rate - 10,500 cm3/mindh / dt
= 20 cm/minr = 8/3 cm
Plug in the values:pump rate - 10,500 = (π(8/3)2 / 3) * 20pump rate - 10,500
= 2114.67pump rate
= 11,760 cm3/min
Therefore, the rate at which water is being pumped into the tank is 11,760 cm3/min.
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It took 24 hours to fill up the town swimming pool with 18,000 gallons of water. How many gallons were filled in 1 hour?
Answer:
750 gallons per hour
Step-by-step explanation:
divide 18000 by 24 and you get 750
Tracy drove 1.123 miles to her new job location. What is the actual distance written in scientificnotation. Need help anybody
we have
1,123 miles
rewrite
1,123=1,123(1,000/1,000)=1.123(1,000)=1.123 x 10^3 miles
Remember that
1,000/1,000=1
therefore
1,123 miles=1.123 x 10^3 miles
PLEASE HELP WILL GIVE BRANLIEST!!
Answer:
B. x <= -17 or x >= 15
Step-by-step explanation:
To solve this inequality, we need to split the absolute value expression into two separate cases, one for each possible sign of the expression within the absolute value bars.
For the case where the expression within the absolute value bars is positive, we can remove the absolute value bars and solve the resulting inequality as follows:
1/4(x+1) >= 4
(x+1) >= 16
x >= 15
For the case where the expression within the absolute value bars is negative, we can again remove the absolute value bars and solve the resulting inequality as follows:
-1/4(x+1) >= 4
-(x+1) >= 16
x <= -17
Combining these two cases, we get that the solution to the inequality is:
x <= -17 or x >= 15
So, the correct answer is B.
A ⊆ B
S (B\A)=28, S(B)=5.S(A). S(A)=?
Answer:
S(A) = 7
Step-by-step explanation:
A ⊆B means A is a proper subset of B. That means all elements of set A are also elements of set B
S(B\A) means the set of all elements of B that are not in set A. This is given as 28
We are also given S(B) = 5.S(A)
Since A is a subset of B, S(B) = set of all elements in A and set of all elements in B but not in A
In other words
S(B) = S(A) + S(B\A)
Since S(B) = 5S(A) we get
5S(A) = S(A) + S(B\A)
5S(A) = S(A) + 28
5S(A) - S(A) = 28
4S(A) = 28
S(A) = 7
Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -2