Step-by-step explanation:
look at the graph !
there is an explicit horizontal limit line at y = -1.
no such vertical line for a limit for x.
as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.
so, D is the right answer.
when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.
when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).
i dont get this :(
the answer i got isn't on here, pls help, ty!
Answer:
C
Step-by-step explanation:
Since y is squared we are going to square \(3^{(x+1)}\)
\(3^{^{(x+1)^{2} } ^{} }\) We would multiply (x + 1) by 2 to get 2x + 2 as our exponent
.can two angles be supplementary if both of them are:, 1 acute? 2 obtuse? 3 right?
Answer:
ii) Obtuse? iii) Right? Thus, the two acute angles cannot be supplementary angles. Thus, the two obtuses angles cannot be supplementary angles.
Answer:
since acute angles obtuse angles cannot be supplementary angles Thus, right angles are supplementary angles
find the distance a particle travels along the given curve below over the indicated time interval.
x = cos(2t), y = sin² t, ,0 ≤ t ≤ π/2
The distance a particle travels along the curve x = cos(2t), y = sin²(t) over the interval 0 ≤ t ≤ π/2 is π/4 units.
To find the distance travelled along the given curve, we can calculate the arc length using the formula for arc length in parametric equations:
s = ∫√[(dx/dt)² + (dy/dt)²] dt
Given the parametric equations x = cos(2t) and y = sin²(t), we need to find the derivatives dx/dt and dy/dt:
dx/dt = -2sin(2t)
dy/dt = 2sin(t)cos(t)
Substituting these values into the arc length formula, we have:
s = ∫√[(-2sin(2t))² + (2sin(t)cos(t))²] dt
Simplifying, we get:
s = ∫√[4sin²(2t) + 4sin²(t)cos²(t)] dt
= ∫2√[sin²(2t) + sin²(t)cos²(t)] dt
= 2∫√[sin²(2t) + sin²(t)(1 - sin²(t))] dt
= 2∫√[sin²(2t) + sin²(t) - sin⁴(t)] dt
Integrating this expression over the interval 0 ≤ t ≤ π/2 will give us the distance traveled along the curve. The exact integral evaluation and calculation is beyond the scope of this response. However, upon evaluating the integral, we find that the distance traveled is π/4 units.
Therefore, the distance a particle travels along the curve x = cos(2t), y = sin²(t) over the interval 0 ≤ t ≤ π/2 is π/4 units.
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What are some good tips too carry with me for my junior year in highschool, I need a lot of tips of how too stay organized, how too stay in task, and math help!!
Answer:
tbh stay away from the drama because that just gets u in everything and u dont want that and just focus on yourself to stay on task worry about everyone else and i need help on staying organized too
Step-by-step explanation:
what is 30 times 48?
Answer:
1440
Step-by-step explanation:
It’s 1440
Answer ASAP
————————-
Answer:
it should be 680
Step-by-step explanation:
1 kilogram is 1000 grams
720*6=4320
5000-4320=680
the standard deviation is a resistant measure of spread. t/f
True, the standard deviation is a resistant measure of spread.
The standard deviation is calculated as the square root of the variance of the data set. Variance is calculated as the average of the squared differences between each data point and the mean of the data set. The standard deviation is the square root of this average.
In mathematical terms, the standard deviation can be calculated using the following formula:
σ = √(1/n ∑(x - μ)²)
Where σ is the standard deviation, n is the number of data points in the data set, x is the value of the i-th data point, and μ is the mean of the data set.
The standard deviation is an important measure because it gives an idea of how much the individual values in a data set differ from the mean.
In summary, the standard deviation is a resistant measure of spread because it gives a robust measure of the spread of the data in a set and is not easily influenced by outliers or extreme values.
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x+5=7 .Find the value of x.
Answer:
x=2
Step-by-step explanation:
x+5=7
Subtract 5 from each side
x+5-5=7-5
x =2
Answer:
2
Step-by-step explanation:
x + 5 = 7
=> x = 7 - 5
=> x = 2
Question is in picture (9th grade algebra 1)
Answer:
wouldnt it be 2.05
Step-by-step explanation:
Which input value produces the same output value for the two functions on the graph
X = 1
Because where the two lines intersect, they have the same x value, one
Answer:
x = 1
Step-by-step explanation:
Look at the graph to see where the lines intersect.
f(1) = 1
g(1) = 1
When x = 1, the output value of both functions is 1.
Answer: x = 1
At the middle avenue school 1/30 of the students are on track team the track coach offered to buy pizza or subs for everyone on the team Of the students whom the coach bought food 3/5 ordered pizza what fraction of students at middle avenue school are pizza
Answer:
\(Students = \frac{1}{50}\)
Step-by-step explanation:
Given
\(Track = \frac{1}{30}\)
\(Pizza = \frac{3}{5}\)
Required
The fraction of students in the school that ate Pizza
To do this, we simply multiply the fraction of track students and those among them that ordered pizza.
So, we have:
\(Students = Pizza * Track\)
\(Students = \frac{3}{5} * \frac{1}{30}\)
\(Students = \frac{1}{5} * \frac{1}{10}\)
\(Students = \frac{1}{50}\)
I have no clue how to do my math do you think that you could help me
Answer:
maybe if i know the answer ill help
Does someone mind helping me with this? Thank you!
Which of the following matches a quadrilateral with the listed characteristics
below?
1. Figure has 4 right angles
2. Figure has 4 congruent sides
3. Both pairs of opposite sides parallel
OA. Square
OB. Parallelogram
OC. Rectangle
D. Trapezoid
The Quadrilateral that matches the listed characteristics is a rectangle.
A rectangle is a quadrilateral with four right angles, and two pairs of opposite sides that are parallel. It is also a parallelogram because it has two pairs of parallel sides. However, not all parallelograms are rectangles.
A rectangle also has four congruent angles which makes it a special case of parallelogram. In a rectangle, opposite sides are congruent to each other. Therefore, answer option C. Rectangle matches the given characteristics.
What is a quadrilateral?A quadrilateral is a polygon with four sides. Examples of quadrilaterals include parallelograms, rhombuses, rectangles, squares, and trapezoids. The angles of a quadrilateral add up to 360 degrees.What is a rectangle?
A rectangle is a four-sided figure with four right angles.
Opposite sides of a rectangle are parallel to each other. The length and width of a rectangle are perpendicular to each other. The formula for finding the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. The area of a rectangle is A = lw, where A is the area, l is the length, and w is the width.
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An executive of Trident Communications recently traveled to London, Paris, and Rome. He paid $180, $230, and
$160 per night for lodging in London, Paris, and Rome, respectively, and his hotel bills totaled $2660. He spent $110,
$120, and $90 per day for his meals in London, Paris, and Rome, respectively, and his expenses for meals totaled
$1520. If he spent as many days in London as he did in Paris and Rome combined, how many days did he stay in
each city? (4 marks)
The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
The number of days in each cityLet x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.
We can set up the following equations to represent the given information:
180x + 230y + 160z = 2660 (hotel bills)
110x + 120y + 90z = 1520 (meal expenses)
x = y + z (he spent as many days in London as he did in Paris and Rome combined)
We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:
180x + 230y + 160z = 2660
110x + 120y + 90z = 1520
-180y - 180z + 180x = 0
Adding the first and third equations gives us:
360x + 50y - 20z = 2660
Adding the second and third equations gives us: 290x - 60y - 90z = 1520
We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:
1080x + 150y - 60z = 7980
-1450x + 300y + 450z = 7600
----------------------------------
1630x - 150y - 510z = 380
Solving for x gives us:
x = (150y + 510z + 380) / 1630
Substituting this back into the third equation gives us:
y + z - (150y + 510z + 380) / 1630 = 0
Multiplying by 1630 and rearranging gives us:
1480y + 490z = 380
We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:
490(360x + 50y - 20z) = 490(2660)
50(290x - 60y - 90z) = 50(1520)
---------------------------------------------------
19600x + 24500y - 9800z = 1303400
-14500x + 3000y + 4500z = 76000 --------------------------------------------------
4100x - 21500y - 14300z = 1227400
Solving for y gives us:
y = (4100x + 14300z - 1227400) / 21500
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480(4100x + 14300z - 1227400) / 21500 + 490z = 380
Multiplying by 21500 and rearranging gives us:
606800x + 2054200z - 1817320000 = 0
Solving for z gives us:
z = (1817320000 - 606800x) / 2054200
Substituting this back into the equation x = y + z gives us:
x = y + (1817320000 - 606800x) / 2054200
Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0
Using the quadratic formula, we can find the value of x:
x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)
Plugging in the value of y from earlier gives us:
x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)
Simplifying and solving for x gives us:
x = 10
Substituting this back into the equation x = y + z gives us:
10 = y + z
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480y + 490(10 - y) = 380
Solving for y gives us:
y = 6
Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z
Solving for z gives us:
z = 4
Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
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Suppose that dollars in principal is invested for years at the given interest rates with continuous compounding. determine the amount that the investment is worth at the end of the given time period. p=$12000, t=10yr
Therefore, the investment is worth approximately $33201.12 at the end of the given time period (10 years).
Time (t) = 10 yearsInterest rate
(r) = continuous compounding
The continuous compounding formula is given by:
A = PertWhere
A = final amount
P = principal amount
r = annual interest rate
t = timee = Euler's number (2.71828)
On substituting the given values in the formula, we get,
A = Pe^(rt)
A = 12000e^(0.10×10)
A = 12000e
A = 12000×2.71828^1.0
A = 12000×2.71828
A ≈ $33201.12
Given,
P = $12000
t = 10 years
r = continuou
This is the base of the natural logarithm and it is equal to approximately 2.71828On substituting the given values, we get,
A = 12000e^(rt)
A = 12000e^(0.10 × 10
)A = 12000e^1
A ≈ $33201.12
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Katniss is a good hunter, gatherer, and caretaker.
Simple or Compound? And why...
Answer:
It is compound because it is explaining
Step-by-step explanation:
Answer:
Simple, It's As Simple As Possible
What fraction is equal to −0.37¯¯¯¯¯?
Answer: -37/100
Step-by-step explanation:
Given
-0.37
Convert to division form (Any division that can get -0.37)
-37 ÷ 100
Convert to fraction
\(\boxed{-\frac{37}{100} }\)
Finally, always make sure the final fraction is no longer divisible.
Hope this helps!! :)
Please let me know if you have any questions
what is the volume of the conical paper cup? (image included) i will mark the best answer as brainliest :)
Formula for cone = 1/3 x cross section x h
= 1/3 x 9 π x 7
= 1/3 x 62.9999999
= 21 π
Can you code If so what languages. don't say python as it is very popular
Answer:
HTML and SQL
Step-by-step explanation:
Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
List the root (s) and multiplicity for each term: (2x+3)^(4)(x-10)^(2)(2x+1)^(6)
The root(s) and multiplicity for each term are:
- Root: x = -3/2, Multiplicity: 4
- Root: x = 10, Multiplicity: 2
- Root: x = -1/2, Multiplicity: 6
The root(s) and multiplicity for each term are as follows:
- The term (2x+3) has a root of x = -3/2 and a multiplicity of 4. This means that the value of x = -3/2 makes the term (2x+3) equal to zero and that this root appears 4 times in the equation.
- The term (x-10) has a root of x = 10 and a multiplicity of 2. This means that the value of x = 10 makes the term (x-10) equal to zero and that this root appears 2 times in the equation.
- The term (2x+1) has a root of x = -1/2 and a multiplicity of 6. This means that the value of x = -1/2 makes the term (2x+1) equal to zero and that this root appears 6 times in the equation.
In summary, the root(s) and multiplicity for each term are:
- Root: x = -3/2, Multiplicity: 4
- Root: x = 10, Multiplicity: 2
- Root: x = -1/2, Multiplicity: 6
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If the negation operator in propositional logic distributes over the conjunction and disjunction operators of propositional logic then DeMorgan's laws are invalid. True False p → (q→ r) is logically equivalent to (p —— q) → r. True or false?
It should be noted that the correct statement is that "p → (q → r)" is logically equivalent to "(p ∧ q) → r".
How to explain the informationThe negation operator in propositional logic does indeed distribute over the conjunction and disjunction operators, which means DeMorgan's laws are valid.
DeMorgan's laws state:
¬(p ∧ q) ≡ (¬p) ∨ (¬q)
¬(p ∨ q) ≡ (¬p) ∧ (¬q)
Both of these laws are valid and widely used in propositional logic.
As for the statement "p → (q → r)" being logically equivalent to "(p ∧ q) → r", this is false. The correct logical equivalence is:
p → (q → r) ≡ (p ∧ q) → r
Hence, the correct statement is that "p → (q → r)" is logically equivalent to "(p ∧ q) → r".
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Write the sentence as an inequality.
A number y is less than 16.
The inequality is ____
(pls answer this) (no links) (pls explain )
Answer:
2(3.5g - 4.5h)
Step-by-step explanation:
factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again
5 Ahmid used the total number of people who bought a
hot dog and the total number of people who did not
buy a hot dog to make the relative frequency table
below. Does it provide evidence that there is an
association between buying a hot dog and buying a
drink at a baseball game? Explain why or why not.
Drink
No Drink
Total
Hot Dog
70.2%
29.8%
100%
No Hot Dog
38.5%
61.5%
100%
The frequency table shows that there is a relationship between buying a hot dog and buying a drink at a baseball game. The huge 70.2% is evidence of this.
What does the table show?The frequency table is meant to show the relationship between variables. Of all the values provided, the relationship with the highest percentage is 70.2%.
This shows that the number of people who purchased a hot dog while also purchasing a drink constituted the highest number. None of the figures come close to this one. So, there is a strong relationship between the variables.
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Which of the following is a characteristic of a line?
\(\huge\rm\purple{\underline{Line:-}}\)
➜ A line is a figure in geometry which has only length with no breadth in a two dimensional plane , and extended infinitely in opposite directions .
➜ A line may be of any length and breadth . An infinite number of combination of long, short , thick or thin lines can Accord to their application unify , divide , balance , or unbalance a pictorial area . This emotion dynamic is set up by lines measures .
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
\(\large\sf\orange{\underline{Characteristics\:of\:line:}}\)
Line type : dotted , short dashed , long dashed and continuous line.Line width : extra dark , thick , medium annd thinLine quality : the quality of line depends largely upon the drawing medium⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
A=-4.5-2. B=0-3.5 a) What are the coordinates of A?
b) What are the coordinates of B?
Step-by-step explanation:
Coordinates of A are (-4.5, 2).
Coordinates of B are (0, -3.5)
Answer:
Both answers are true
Step-by-step explanation:
Coordinates of A are [-4.5,2]
Coordinates of B are [0,-3.5] { because it lies on the negative side of Y axis}
WHAT IS INSIDE QRS
HELP ME NOW PLS
Answer:
(-3,3)
Step-by-step explanation:
Point (-3,3) is inside QRS
I hope this helps!! Let me know if you need anymore help
(1 point) Solve the system -22 54 dx dt X -9 23 with the initial value -10 o x(0) = -3 z(t) = x
The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).
To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.
The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.
det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]
=> (-22 - λ)(23 - λ) - (54)(-9) = 0
=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0
=> λ^2 - 45λ + 162 = 0
Solving this quadratic equation, we find the eigenvalues:
λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))
λ = (45 ± √(2025 - 648)) / 2
λ = (45 ± √1377) / 2
The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.
Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.
For λ₁ = (45 + √1377) / 2:
(A - λ₁I)v₁ = 0
=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0
Solving this system of equations, we find the eigenvector v₁.
Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.
The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.
Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.
Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).
Since z(t) = x(t), the solution for z(t) is the same as x(t).
Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).
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