The graph that represents a function is D. On a coordinate plane, a line with an s curve enters the plane at point (negative 3.75, 5), crosses the x-axis at (negative .75, 0), the y-axis at (0, 0), leaves x-axis at (.75, 0), and exits the plane at point (3.75, negative 5).
What is a graph?It should be noted that a graph is diagram that represents the variation of a variable in comparison with that of one or more other variables.
A coordinate plane is the graphing and description system for points and lines. Here, the vertical (y) axis and a horizontal (x) axis make up the coordinate plane.
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Which graph represents a function? On a coordinate plane, a line with 2 angles crosses the x-axis at (negative .5, 0), the y-axis at (0, 1), turns at (1, 3), crosses the x-axis at (1, 0), turns at (1, negative 2), and crosses the x-axis at (2, 0). On a coordinate plane, a curved line crosses the y-axis at (0, 1.5), the x-axis at (negative 2, 0), and the y-axis at (0, negative 1.5). On a coordinate plane, a line enters the plane at point (negative 5, 4), makes a 90-degree turn at (negative 1, 0), and leaves the plane at point (negative 5, negative 4). On a coordinate plane, a line with an s curve enters the plane at point (negative 3.75, 5), crosses the x-axis at (negative .75, 0), the y-axis at (0, 0), leaves x-axis at (.75, 0), and exits the plane at point (3.75, negative 5).
Please help me to solve this
Answer:
x = -5, 6
Step-by-step explanation:
\(x^{2} - x - 30 = 0\\(x-6)(x+5) = 0\\x = -5, 6\)
A particle moves along the x-axis so that at time t≥ 0 its position is given by
x(t) = −t³ + 3t² + 24t. Determine the speed of the particle at t = 3.
Answer:
x(3)=72
Step-by-step explanation:
-27+27+72=72
Is it easier for you to visualize the reaction by using pictures words or symbols?.
Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.
What is photosynthesis?
Photosynthesis is the process in which green plants prepare their own food in the presence of sunlight and light energy is converted into chemical energy by the process of cellular respiration.
The process of photosynthesis takes place in green plants only due to presence of chlorophyll and materials such as sunlight, water, carbon dioxide is required for the process of photosynthesis.
The equation of photosynthesis is represented below:
6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂.
The process of food manufacturing in plant is done through photosynthesis and the plants are known as autotrophs as they are the producers.
In the process of photosynthesis the reactant have 6 carbon dioxide molecules and six water molecules, and light energy converted into chemical energy due to presence of chlorophyll.
Therefore, Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.
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Newton watches a movie with his friends. They watch 30% of the movie and then take a break. They then watch the remaining 84 minutes. How long was the movie?
The total length of the movie was 120 minutes.
Let's assume the total duration of the movie is represented by 'M' minutes. According to the given information, Newton and his friends watched 30% of the movie before taking a break. This means they watched 0.3M minutes of the movie.
After the break, they watched the remaining portion of the movie, which is 100% - 30% = 70% of the total duration. This can be represented as 0.7M minutes.
We are given that the duration of the remaining portion after the break is 84 minutes. Therefore, we can set up the following equation:
0.7M = 84
To solve for M, we divide both sides of the equation by 0.7:
M = 84 / 0.7
M = 120
Therefore, the total duration of the movie was 120 minutes.
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Pls give simple working out
Answer:
x = 33
Step-by-step explanation:
∡ CBE = ∡DBA = 57°
The sum of the interior angles of a triangle results 180°
∡BDA = it´s a right angle = 90°
Then:
57° + 90° + x = 180°
147° + x = 180°
x = 180° - 147°
x = 33°
its complex functions subject 2 EXERCISE7: a/ Find Laplace transform of : f(t) = cos 7t + e-7t + e4fsh3t b/ Find Inverse Laplace transform of: F(s)= sl + (-3)3+25 + 25 EXERCISE8:Lety3+=0withu0=0.0)=0and0= a/ Find Laplace transform of this differential equation. Isolate Y(s) b/ From question a, find y(t).
a) To find the Laplace transform of the function f(t) = cos(7t) + e^(-7t) + e^(4sinh(3t)), we can use the linearity property of the Laplace transform.
The Laplace transform of cos(7t) can be found using the formula: L{cos(kt)} = s/(s^2 + k^2), where k is the constant coefficient.
So, the Laplace transform of cos(7t) is s/(s^2 + 7^2) = s/(s^2 + 49).
The Laplace transform of e^(-7t) can be found using the formula: L{e^(-at)} = 1/(s + a), where a is the constant coefficient. Therefore, the Laplace transform of e^(-7t) is 1/(s + 7). The Laplace transform of e^(4sinh(3t)) is not a standard function in the Laplace transform table. However, we can use the definition of the Laplace transform and perform the integration:
L{e^(4sinh(3t))} = ∫[0 to ∞] e^(4sinh(3t)) * e^(-st) dt.
The exact integral cannot be easily solved analytically, so it may require numerical or approximate methods to obtain the Laplace transform of e^(4sinh(3t)).
b) To find the inverse Laplace transform of F(s) = sl + (-3)^3 + 25 + 25, we need to use the inverse Laplace transform formula or table to identify the function that corresponds to F(s).
Using the linearity property of the inverse Laplace transform, we can break down F(s) into three terms: L^{-1}{sl}, L^{-1}{(-3)^3 + 25}, and L^{-1}{25}. The inverse Laplace transform of sl can be found using the formula: L^{-1}{s^nf(t)} = (-1)^n * d^n/dt^n[f(t)].
So, the inverse Laplace transform of sl is (-1)d/dt(l).
The inverse Laplace transform of (-3)^3 + 25 is simply (-3)^3 + 25 = -27 + 25 = -2. The inverse Laplace transform of 25 is 25. Therefore, the inverse Laplace transform of F(s) is (-1)d/dt(l) - 2 + 25, which simplifies to -d/dt(l) + 23.
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Simplify the expression -4x(6x − 7).
Answer: -24x^2+28x
Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x
The graph shows the cost of renting skates.
There is graph with the X-coordinate marks 0, 2, 4, and 6. The Y-coordinate mark 0, 4, 8, and 12. There are 6 small line segments. The first line segment starts at open circle point (0, 4) and ends at closed circle point (1, 4). The second line segment starts at open circle point (1, 6) and ends at closed circle point (2, 6). The third line segment starts at open circle point (2, 8) and ends at closed circle point (3, 8). The fourth line segment starts at open circle point (3, 10) and ends at closed circle point (4, 10). The fifth line segment starts at open circle point (4, 12) and ends at closed circle point (5, 12). The sixth line segment starts at open circle point (5, 14) and ends at closed circle point (6, 14).
For this function, what is the average rate of change over the interval 3.5 ≤ x ≤ 4?
A. 0
B. 0.5
C. 1
D. 2
The cost of renting skates is constant between 3.5 and 4, since there is no change in the height of the line segment between those values of x. Therefore, the average rate of change is 0. The answer is A. 0.
The value of a vase n years after it was made is given by this formula:
Value in pounds (£) = 500 X 1.28^n
What was the original value of the vase
Answer:
500 £
Step-by-step explanation:
If n is number of years then its original value would be after 0 years.
Substitute n = 0
1.28^0 =1
Solve
500 * 1 = 500
a function object is a value you can assign to a variable or pass as an argument. for example, do twice is a function that takes a function object as an argument and calls it twice:
A function object is a value that can be assigned to a variable or passed as an argument. For example, the "do_twice" function is a function that takes a function object as an argument and calls it twice.
In Python, functions are first-class objects, which means they can be treated just like any other value. This allows us to assign functions to variables, pass them as arguments to other functions, and even return them from other functions.
Here's an example of the "do_twice" function in Python:
def do_twice(func):
func() # Call the function object the first time
func() # Call the function object the second time
def say_hello():
print("Hello!")
do_twice(say_hello) # Output: "Hello!" twice
In this example, the "do_twice" function takes a function object, func, as its argument. It then calls the func twice by invoking it as func(). The say_hello function is defined separately and passed as an argument to do_twice. When do_twice is called with say_hello, it executes say_hello two times, resulting in the output "Hello!" printed twice.
A function object in Python is a value that can be assigned to variables or passed as arguments to other functions. The ability to treat functions as first-class objects allows for flexible and powerful programming techniques, such as higher-order functions and function composition.
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ickets to the zoo cost $15 for adults and $10 for children. The school has a budget of $300 for the field
trip. An equation representing the budget for the trip is 15x+10y = 300.
a. With a budget of $300, determine if 21 students and 6 adults can go to the zoo. Explain how you
know.
b. If there are four adults who need tickets, what is the maximum number of students who can go to
the zoo while staying within the school budget? Show or explain your reasoning.
c. Solve the equation15x+10y = 300 for y.
Answers: lol sorry very long answer
part a answer: Yes, because if we substitute the variables, the equation will be 15(6) + 10(21) = 300. Simplifying this will be 90 + 210 = 300. And since 90 + 210 does equal 300, 21 students and 6 adults can go to the zoo
part b answer: 24 students. Using the equation 15x + 10y = 300, we can find out the maximum number of students who can go to the zoo. First we can substitute x for 4 because that's how many adults who need the tickets. The equation will now be 15(4) + 10y = 300. Simplifying this will be 60 + 10y = 300. Now we can subtract 60 on both sides to isolate the y term. The equation will be 10y = 240. Divide each side by 10 to find out what y is and we get y = 24. So if 4 adults go the zoo, up to 24 students can go.
part c answer: y = 30 - 1.5x. To solve 15x + 10y =300, we first need to move 15x to one side of the equation. To do this we will subtract it on both sides. The equation is now 10y = 300 -15x. Then you will divide 10 on both sides to find out what y is. y = 30 - 1.5x.
A game decreased in price by
1/3
After the reduction it was priced at £26.
What was the original price of the game??
Answer: £78
Step-by-step explanation
It decreased by 1/3 and after the reduction it was £26 so you have to get the other 2/3 so you multiply £26 by 3 to get the 3/3 that you need that will give you £78.
26 × 3 = £78
I need help on this question for math please!
Answer:
no
Step-by-step explanation:
using the values of the ordered pair in the first equating we get :
2 = 3×5 - 13 = 15 - 13 = 2
that fits.
but when using them in the second equation we get :
4×5 - 3×2 = 17
20 - 6 = 17
14 = 17
and that is wrong.
that means the point (5, 2) is not on the second line, so the point cannot be the crossing point (= solution, where both equations deliver the same result) of both lines.
FYI
we would solve the system by using the first equality directly in the second equation :
4x - 3(3x - 13) = 17
4x - 9x + 39 = 17
-5x = - 22
5x = 22
x = 22/5 = 4.4
and y is then
y = 3×4.4 - 13 = 13.2 - 13 = 0.2
the actual solution of the system is therefore
(4.4, 0.2)
True or False:
It is possible for an integer linear program to have more than one optimal solution.
True, it is possible for an integer linear program to have more than one optimal solution.
In an integer linear program, the objective is to optimize a linear objective function subject to linear constraints and integer variable restrictions. While it is common for linear programs to have a unique optimal solution, in the case of integer linear programs, it is possible to have multiple optimal solutions.
This occurs when there are multiple feasible solutions that achieve the same optimal objective value. In such cases, any of the feasible solutions that satisfy the optimality conditions can be considered optimal. Therefore, it is true that an integer linear program can have more than one optimal solution.
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C = 4+0. 10t what is the charge to rent a paddle boat for 20 minutes?
a 35 centimeter ribbon is cut into 8 equal pieces what is the length of each piece?
Pierre prefers shirts made with 100 percent cotton, but he will sometimes buy shirts with less cotton if they are less expensive. Pierre uses ________ to decide which shirts to buy.
Pierre uses price as a deciding factor to choose which shirts to buy.
Pierre considers the price of the shirts as an important factor in his decision-making process. While he prefers shirts made with 100 percent cotton, he is willing to compromise on the fabric composition if it means getting a better deal or a lower price. This means that if there are shirts available with a lower percentage of cotton but at a significantly lower price, Pierre may choose to purchase those shirts instead. By considering the price along with his preference for cotton shirts, Pierre is able to make a more informed decision that balances his desired quality with affordability.
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(Chapter 10) If x = f(t) and y = g(t) are twice differentiable, then (d^2y)/(dx^2) =(d^2y/dt^2)/ (d^2x/dt^2)
The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:
(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]
This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.
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11. Sarah is three years older than Ben. If Ben is 16 years old, how old is Sarah? A. XLVIII D. XIII C. XVI B. XIX E. XX
Answer: B. XIX
Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.
X represents 10.
IX represents 9 Because...
... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.
So you combine the 10 and 9 to get XIX.
The angles of a triangle are 5a/2, 3a/4, 7a/4. Find the value of the largest and smallest angle
The largest angle is \(\frac{7a}{4}\) and the smallest angle is \(\frac{3a}{4}\).
In this case, we have the angles \(\frac{5a}{2}, \frac{3a}{4}, and \frac{7a}{4}\). So we can set up the equation:
\(\frac{5a}{2} + \frac{3a}{4} + \frac{7a}{4} = 180\)
To solve for "a", we can simplify the left side of the equation by finding a common denominator:
\(\frac{(10a + 3a + 7a)}{4} = 180\)
Simplifying the left side gives:
\(\frac{20a}{4} = 180\)
And further simplifying gives:
5a = 180
Dividing both sides by 5 gives:
a = 36
Now that we know the value of "a", we can substitute it back into each angle expression to find their actual values:
\(\frac{5a}{2} = \frac{5(36)}{2} = \frac{903a}{4} = \frac{3(36)}{4} = \frac{277a}{4} = \frac{7(36)}{4} = 63\)
Therefore, \(\frac{7a}{4} = 63\) is the largest angle and \(\frac{3a}{4} = 27\) is the smallest angle.
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A section of guttering can hold up to 20 litres of rainwater. The diameter is 11cm. Work out the length in metres.
Answer:
2.1 m
Step-by-step explanation:
The gutter is in the shape of a cylinder.
Its volume is 20 liters and its diameter is 11 cm (0.11 m).
Its radius is half of its diameter => r = 0.055 m.
The volume in cubic metres:
1 litre = 0.001 cubic metres
20 litres = 20 * 0.001 = 0.02 cubic metres
The volume of a section of guttering is given as:
\(V = \pi r^2h\)
where h = length of the guttering
Therefore:
\(0.02 = \pi * 0.055^2 * h\\\\0.02 = 0.009503h\\\\h = 0.02 / 0.009503\\\\h = 2.10 m\)
The length of the section of guttering is 2.1 m long.
In the figure, point $O$ is the center of the circle, the measure of angle $RTB$ is $28$ degrees, and the measure of angle $ROB$ is three times the measure of angle $SOT$. What is the measure of minor arc $RS$, in degrees
The measure of minor arc RS, in degrees, will be approximately 86.66
Call the intersection of BT and circle A.
And we have that angle measurement. RTB =(1/2) (a measure of minor arc RB - a measure of minor arc SA) (a measure of minor arc RB - the measure of minor arc SA)
But angle SOT equals the measure of angle SOA.
Moreover, because SOA is a central angle, its measure is the same as that of minor arc SA.
ROB has the same measure as minor arc RB since it is also a central angle.
The measure of minor arc SA= angle SOT= angle SOA=M
The measure of minor arc RB= angle ROB=4M
So we have this equation
28=(1/2)(4M-M)
56=3 M
[56/3]=M
So, minor arc S A=\((56 / 3)^{\circ}\)
And minor arc RB =\(4(56/3)=(224/3)^{\circ}\)
And minor arc RS =[180-(56/3)-(224/3)]=\((260/3)^{\circ} \approx 86.66^{\circ}\)
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The complete question should be like this:
In the figure, point O is the centre of the circle, the measure of angle RTB is 28 degrees, and the measure of angle ROB is four times the measure of angle SOT. What is the measure of minor arc RS, in degrees?
The needed diagram is attached below:
A number cube has faces numbered 1 to 6. what is true about rolling the number cube one time? select three options.
When rolling a number cube one time, there are several things that are true. Here are three options:
1. The outcome will be a whole number between 1 and 6: Since the number cube has faces numbered from 1 to 6, rolling it one time will result in one of these whole numbers.
2. Each face has an equal chance of landing face-up: The number cube is designed in such a way that each face has an equal probability of landing face-up when rolled. This means that the chances of rolling a 1, 2, 3, 4, 5, or 6 are all the same.
3. The outcome is independent of previous rolls: Rolling the number cube one time does not depend on or affect any previous rolls. Each roll is considered an independent event, so the previous outcome does not influence the next roll.
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Solve for fff:
-\dfrac{3}{4}f=\dfrac{5}{4}−
4
3
f=
4
5
minus, start fraction, 3, divided by, 4, end fraction, f, equals, start fraction, 5, divided by, 4, end fraction
f =\,f=f, equals
Applying the multiplication property of equality, the value of f in the fractional equation is: f = 5/3.
How to Solve Fractions?Equations involving fractions can be solved as normal fractions by applying necessary properties of equations.Given:
3/4(f) × 4/3 = 5/4
Multiply both sides by 4/3, and solve for f.3/4(f) × 4/3 = 5/4 × 4/3 (multiplication property of equality)
f = 5/3
Therefore, applying the multiplication property of equality, the value of f in the fractional equation is: f = 5/3
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i hope u can help meeeee!!!
Answer:
1)4,5,8
2)3,6,7
3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7
Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?
Answer:
20 Yards
Step-by-step explanation:
3 feet = 1 yard
60 / 3 = x yards
20 yards
can someone answer page 3 question 3, page 5 question 3, all of page 6
The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7
What is trigonometrical ratios?Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent
For page 3 question 3,
a) <A + <B = 90 since <C = right angle
b) SinA = BC/AB and CosB = BC/AB
The ratio of the two angles BC/AB ÷ BC/AB = 1
I notice that the ratio of sinA and cosB gives 1
b) The ratio of CosA and SinB will give
BC/AB ÷ BC/AB
= BC/AB * AB/BC = 1
For page 5 number 3
Tan28 = g/i
g/12.2 = tan28
cross multiplying to have
g = 12.2*tan28
g = 12.2 * 0.5317
g = 6.5
b) the angle I is given as 90-28 degrees
<I = 62 degrees
To find the side h we use the Pythagoras theorem
h² = (12.2)² + (6.5)²
h² = 148.84 +42.25
h²= 191.09
h=√191.09
h= 13.8
For page 6
1) Sin42 = x/18
x=18*sin42
x = 18*0.6691
x = 12.0
2) cos28 = 6/x
xcos28 = 6
x = 6/cos28
x [= 6/0.8829
x = 6.8
3) Tan63 = x/34
x = 34*tan63
x= 34*1.9526
x = 66.4
4) Sin50 123/x
xsin50 = 123
x = 123/sin50
x = 123/0.7660
x =160.6
5) Sin57 = P/8
Pole = 8sin57
the pole = 8*0.8387
The pole = 6.7
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is a parallelogram. is the midpoint of . and trisect .
Let ⃗⃗⃗⃗⃗ = ⃗ and ⃗⃗⃗⃗⃗ = . Show your work on the diagram as well.
Answer:
option 6b):) is correct
Can some one help me with this plzzz
Answer:
I cant see the answer
Step-by-step explanation:
What is the formula used for finding the are of a triangle
Answer:
Area = 1/2 × b × h
Hope this helps, thank you :) !!