Answer:
A: -25
Step-by-step explanation:
negatives are below zero. And since 25 is above 13... -25 is below -13
Can somebody help me
Answer:
15,000
Step-by-step explanation:
15×1000
Answer:
Look at the solution I gave properly. Not only the answer.
without actually solving the given differential equation, find the minimum radius of convergence r of power series solutions about the ordinary point x = 1. (x^2 - 2x + 17)y"+ xy' -4y = 0
Power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x=1.
What is a differential equation?A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.
Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.
The given equation: \(\left(x^2-2 x+26\right) y^{\prime \prime}+x y^{\prime}-4 y=0\)
It is necessary to determine the power series solutions' minimal radius of convergence R around the typical points x = 0 and x = 1.
The separation between the ordinary point and the differential equation's singularity is now the minimal radius of convergence.
The polynomial's root, which is connected to the second derivative, is the singularity point.
The singularity points will be determined as follows:
\(\begin{aligned}& x^2-2 x+26=0 \\& x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} \\& x=\frac{2 \pm \sqrt{(-2)^2-4 \times 1 \times 26}}{2} \\& x=1 \pm \sqrt{-100} \\& x=1 \pm 10 i\end{aligned}\)
In this case, x1 = 1+10i and x2 = 1-10i are the singularity sites.
The ordinary points at this time are z1 = 0+01 and z2 = 1+0i.
One can compute the minimum radius of convergence using the formula:
\(\begin{aligned}& r_1=\left|z_1-x_1\right| \\& =|0+0 i-1-10 i| \\& =\sqrt{101} \\& =10.0498 \\& r_2=\left|z_2-x_1\right| \\& =\sqrt{100} \\& =10\end{aligned}\)
Therefore, power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x = 1.
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The total surface are of a cube is 1014 square meters. What is the length of its side?
4 inches 6 inches and 9 inches
v= in3
Answer:
what are you asking the total or what
A boy is pushing a 50 kg box with the force F but the box is not moving. (10 min)30° F=20a) what type of friction is acting on this box. Why? b) What is the direction of friction force? Why? c) draw the Free body diagram d) calculate the amount of friction force. e) Calculate the coefficient of friction between box and floor.
The type of friction acting on the box is static friction. This is because the box is not moving, and static friction is the force that opposes motion when an object is at rest.
The direction of the friction force is opposite to the direction of the force applied by the boy. This is because friction always acts in the opposite direction to the applied force, to prevent the object from moving.
The free body diagram for the box would include the force of gravity acting downwards (50 kg x 9.8 m/s² = 490 N), the force applied by the boy (20 N at an angle of 30°), and the static friction force acting in the opposite direction to the applied force.
To calculate the amount of friction force, we can use the formula F_friction = F_applied x coefficient of friction. Since the box is not moving, the friction force is equal in magnitude to the applied force. Therefore, F_friction = 20 N.
To calculate the coefficient of friction, we can use the formula coefficient of friction = F_friction / F_normal. The normal force is equal in magnitude to the force of gravity, which is 490 N. Therefore, coefficient of friction = 20 N / 490 N = 0.041.
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the average bmi for a sample of 10 preschoolers is 16.3, with a standard deviation of 1.4. what is the 90% confidence interval for the bmi of all preschoolers? (round to two decimal places) group of answer choices (15.57, 17.03) (15.29, 16.91) (15.3, 17.3) (15.49, 17.11)
The 90% confidence interval for the BMI of all preschoolers is option (d) (15.49, 17.11)
To calculate the 90% confidence interval for the BMI of all preschoolers, we can use the formula
CI = X ± Z × (σ / sqrt(n))
where X is the sample mean, σ is the sample standard deviation, n is the sample size, and Z is the z-score corresponding to the desired confidence level (in this case, 90%).
We can find the value of Z using a standard normal distribution table or calculator, which gives us a value of 1.645.
Plugging in the values from the problem, we get
CI = 16.3 ± 1.645 × (1.4 / sqrt(10))
CI = 16.3 ± 0.90
So the 90% confidence interval for the BMI of all preschoolers is (15.49, 17.11).
Therefore, the correct option is (d) (15.49, 17.11)
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Whatis the answer to the problem
Answer:
slope = \(-\frac{1}{8}\)
Step-by-step explanation:
Use the slope formula given in the question to solve for the slope. The \(m\) is the variable representing the slope. The \(x_1\) and \(y_1\) values are x and y values of one point. The \(x_2\) and \(y_2\) are x and y values of another point.
So, use the x and y values of the points given and substitute them in the correct order into the formula:
\(m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}\)
Thus, the slope is \(-\frac{1}{8}\).
in the standard curve for nitrophenol generated for use in this experiment, what is reported on the x-axis?
In the standard curve for nitrophenol generated for use in this experiment, the nitrophenol concentration is reported on the x - axis.
What is standard curve?
A calibration curve, sometimes referred to as a standard curve, is a common technique used in analytical chemistry to compare an unknown sample to a group of standard samples with known chemical concentrations.
In order to calculate the nitrophenol concentration in mole/ml based on absorbance readings, the standard curve is drawn.
Based on the optical density, or OD410, or absorbance at 410 nm, this standard curve of absorbance is used to calculate the quantity of nitrophenol.
Therefore, the nitrophenol concentration is displayed on the x axis of the standard curve.
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Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,2) f(x)= Question Help: −b Video
The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.
To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:
0 = -b * log(base a)(3 - h) + k
Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:
2 = -b * log(base a)(0 - h) + k
Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.
In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.
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find the centroid of the region bounded by the given curves y = sin x y = cos x
The centroid of the region bounded by the curves y = sin x and y = cos x is (π/4, 0).
The given curves are y = sin x and y = cos x. The graph of these curves is shown below: Region bounded by the curves: y = sin xy = cos x
To find the centroid of the region bounded by the curves y = sin x and y = cos x, we need to first find the equation of the line of symmetry of this region. Since the curves are symmetrical with respect to the line x = π/4, this line of symmetry is given by x = π/4.
The centroid of the region bounded by the curves is the point of intersection of the lines x = π/4 and y = (1/2π) ∫sin x - cos x dx.
Since we have the bounds of the integral as
π/4 and 5π/4, the integral becomes: (1/2π) ∫sin x - cos x dx = (1/2π) [(-cos x - sin x)|π/4^5π/4](1/2π) [(-cos 5π/4 - sin 5π/4) - (-cos π/4 - sin π/4)] = (1/2π) [(-(-1)/√2 - (-1)/√2) - (1/√2 - 1/√2)] = (1/2π) (0) = 0.
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Evaluate the expression when a = 6, b = 3 and c = 2:
c(b + a ) – a = ______
Answer: The answer is 12
Step-by-step explanation:
c(b + a ) – a
2(3+6)-6
6+12-6
12
2/13 divided by 1/6 need help
Dividing by a fraction means the same as multiplying by its reciprocal.
In other words, change the division sign to multiplication
and flip or take the reciprocal of the second fraction.
So we can rewrite 2/13 ÷ 1/6 as 2/13 × 6/1.
Now multiply across the numerators and denominators to get 12/13.
Answer:
Step-by-step explanation:
KCF = Keep Change Flip
2/3 divided by 1/6
K C F
2/3 you keep
divided you change it to Multiplication X
And Flip 1/6 to 6/1
then Multiply
2/3 x 6/1 =
12/3 = 4
Rochelle wants to use all of her raisins to bake batches of granola. She has 3/4 cup of raisins.
Each batch requires 1/8 cup of raisins. How many batches can she make?
Answer:
She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.
Using the graphical method, solve the simultaneous equations: x + y = 3, 3x + y = 5
Answer: (1,2)
Step-by-step explanation:
1)
x+y=3
y=-x+3
x | 0 | 3 |
y | 3 | 0 |
2)
3x+y=5
y=-3x+5
x | 0 | 2 |
y | 5 | -1 |
hi everyone help my math pls
show ur solutions
On solving the provided question, we can say that - the area of the provided circle is A = \(113.04 cm^2\)
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
here,
radius, r = 6 cm
Area of circle = \(\pi X r^2 = 3.14 X 6 X 6 \\\)
A = \(113.04 cm^2\)
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If AD = 3x + 18, AB = 5x + 10, and BC = 12x + 2, what is BC?
A 30
B 15.7
C 50
D 19.5
For questions 7-10, consider the trinomial 16x² + 16x-5.
7.
List all the factor pairs for -80.
8. Find the factor pair for -80 that add to the sum of 16.
9. Use question 8 to write the expanded form of 16x² + 16x - 5 that can be u
factor the expression by grouping.
10. Factor the expression 16x² + 16x-5 by grouping.
Therefore, the factored form of the expression is:(2x - 1)(8x + 5)
Factor pairs of80 and 1, 40 and 2, 20 and 5, 16 and 8, and 10
In question 8 This requirement is met by the pair -8 and 24.
In question9 16x² - 8x + 24x - 5
7. We can list all the pairs of numbers that multiply to -80 in order to identify all the factor pairs for this number. These are a few of the pairs:
80 and 1, 40 and 2, 20 and 5, 16 and 8, and 10
Define highest common factor?The biggest integer that divides each of two or more numbers without producing a remainder is known as the greatest common factor (GCF).
For instance, 6 is the highest number that divides both 12 and 18 without producing a residual, making it the GCF of 12 and 18.
The highest common factor (HCF) and greatest common divisor (GCD) are other names for the GCF (HCF).
8. We can seek for two values in the list from question 7 that add up to 16 in order to get the factor pair for -80 that adds to the sum of 16. This requirement is met by the pair -8 and 24.
9. Applying the answer to question 8, we can write 16x2 + 16x - 5 in its expanded form as:
16x² - 8x + 24x - 5
The terms can then be categorised as follows:
(16x² - 8x) + (24x - 5) (24x - 5)
When we take the biggest thing in common between each group, we get:8x(2x - 1) + 5(4x - 1) (4x - 1)
10. As a result, grouping can factor the enlarged form of 16x2 + 16x - 5 as follows:
8x(2x - 1) + 5(4x - 1) (4x - 1)
10. Using the enlarged form from answer 9, we may factor the formula 16x2 + 16x - 5 by grouping:
8x(2x - 1) + 5(4x - 1) (4x - 1)
We can factor it out because we can see that the common factor for both terms is (2x - 1):
(2x - 1)(8x + 5)
As a result, the expression's factored form is as follows:
(2x - 1)(8x + 5)
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Let V and W be vector spaces, and let T:V→→W be a linear transformation. Given a subspace U of V, let T(U) denote the set of all images of the form T(x), where x is in U. Show that T(U) is a subspace of W.To show that T(U) is a subspace of W, first show that the zero vector of W is in T(U). Choose the correct answer below.A. Since V is a subspace of U, the zero vector of U, 0, is in V. Since T is linear, T(0)=Ow, where 0w is the zero vector of W. So Oy is in T(U ). B. Since U is a subspace of W, the zero vector of W, Ow, is at U. Since T is linear, T(0) = 0, where 0, is the zero vector of V. So Ow is at T( U).C. Since V is a subspace of U, the zero vector of V, Oy, is in U. Since T is linear, T(0)=0w, where 0w is the zero vector of W. So 0 is in T(U ).D. Since U is a subspace of V, the zero vector of V, 0y, is at U. Since T is linear, T(0)=0, where 0 is the zero vector of W. So 0w is at T(U ).
T(U) is a subspace of W Since V is a subspace of U, the zero vector of V, 0, is in U. As T is linear, \(T(0) = 0_w\) , where \(0_w\) is the zero vector of W. Therefore, \(0_{w}\) is in T(U).
It can be proved Since U is a subspace of V, the zero vector of V, 0y, is in U. Since T is linear, \(T(0_{y}) = 0_{w}\) , where \(0_{w}\) is the zero vector of W. So\(0_{w}\) is in T(U).
To show that T(U) is a subspace of W, we also need to show that T(U) is closed under vector addition and scalar multiplication. Let u1, u2 be vectors in U, and let c be a scalar. Then we have: \(T(u1 + u2) = T(u1) + T(u2)\) (since T is linear)
\(T(cu1) = cT(u1)\) (since T is linear)
Since U is a subspace of V, we have \(u1 + u2\) and \(cu1\) are also in U. Therefore, \(T(u1 + u2)\) and \(T(cu1)\) are both in T(U), which shows that T(U) is closed under vector addition and scalar multiplication.
Thus, T(U) is a subspace of W.
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14 Which function is best represented by this graph?
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
Gross Pay: $1287.50 Calculate Social Security Tax (1.45% of Gross Pay):
Answer:
$18.67
Step-by-step explanation:
First, convert the percentage to a decimal.
1.45% = 0.0145
Then, multiply the gross pay by the decimal.
$1287.50 × 0.0145 = $18.67
The Social Security Tax will be $18.67.
Please help me with this math problem!! NO LINKS PLEASE!! Will mark brainliest if correct! :)
which set of side lengths would form a right triangle
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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Determine whether the graph of the quadratic function y = –x2 – 10x + 1 opens upward or downward. Explain.
a. Because a > 0, the parabola opens downward.
b. Because a < 0, the parabola opens upward.
c. Because a < 0, the parabola opens downward.
d. Because a > 0, the parabola opens upward.
The correct answer is option (c). The graph of the quadratic function y = \(-x^2 - 10x + 1\) opens downward.
In a quadratic function in the form y = \(ax^2 + bx + c\), the coefficient 'a' determines the direction of the parabola.
If 'a' is positive, the parabola opens upward, and if 'a' is negative, the parabola opens downward.
In the given function y = \(-x^2 - 10x + 1,\) the coefficient of the \(x^{2}\) term is -1, which is negative. Therefore, option (c) is correct, stating that the parabola opens downward.
The negative value of 'a' causes the quadratic term to have a negative coefficient, leading to a concave shape that opens downward. This means that the vertex of the parabola represents the maximum point on the graph.
By determining the sign of 'a', we can quickly determine the direction in which the graph of a quadratic function opens. In this case, since 'a' is negative, the parabola opens downward.
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Find the least common denominator and express each fraction suing the lest common denominator
Given:
1/9 and 2/15
we are asked to find the least common denominator and also express each fraction using least common denominator.
The common denominator of 9 and 15.
The least common denominator of 9 and 15 is 45
We multiply 5 by 9 and 3 by 15
We multiply 1 by 5 and 2 by 3
5 x 1, 2 x 3
5 x 9 3 x 15
5/45, 6/45
Therefore, the correct option is the second option, which is 5/45, 6/45
Delta products, Inc., has recently switched at least partly from older technologies using fossil fuels to new technologies powered by electricity. The question has been raised whether it can be concluded that for a given level of output, Delta's operation now causes less fossil fuel to be consumed than it did formerly. The answer, clearly, is yes, since the amount of fossil fuel used to generate the electricity needed to power the new technologies is less than the amount needed to power the older technologies, provided that the level of output is held constant. In the argument given, the two boldface portions play which of the following roles? A. The first identifies the content of the conclusion of the argument; the second provides support for that conclusion. B. The first provides support for the conclusion of the argument; the second identifies the content of that conclusion. C. The first states the position that the argument opposes; the second states the conclusion of the argument. D. Each provides evidence that calls the conclusion of the argument into question. E. Each provides support for the conclusion of the argument.
Option A is the correct answer as it correctly identifies the roles of the two boldface portions.
The two boldface portions in the argument play different roles. The first boldface portion identifies the conclusion of the argument, while the second boldface portion provides support for that conclusion.
The argument aims to prove that for a given level of output, Delta's operation now causes less fossil fuel to be consumed than it did formerly.
The first boldface portion clearly states the conclusion of the argument, while the second boldface portion provides support for this conclusion by explaining that the new technologies powered by electricity consume less fossil fuel than the older technologies.
Therefore, option A is the correct answer as it correctly identifies the roles of the two boldface portions.
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You have a circular loop of wire in the plane of the page with an initial radius of 0.40 m which expands to a radius of 1.00 m. It sits in a constant magnetic field B = 24 mT pointing into the page. Assume the transformation occurs over 1.0 second and no part of the wire exits the field. Also assume an internal resistance of 30 Ω. What average current is produced within the loop and in which direction? Express your answer with the appropriate units. Enter positive value if the current is clockwise and negative value if the current is counterclockwise. My INCORRECT work: emf = -BAcos(theta)/dt emf = -B*1*(dA/dt) emf = -B*pi*(2*(expansion rate/1)^2*t+2*r0*(expansion rate/1) Then V=IR so emf=IR so I=emf/R I = -[B*pi*(2*(expansion rate/1)^2*t+2*r0*(expansion rate/1)]/R I = -[24x10^-3*pi*(2*.6^2*1+2*.4*.6)]/30 I ~ -3.015928947x10^-3 I ~ -3.0x10^-3 Which is wrong.
In the given scenario, the average current produced within the loop is approximately 2.13 A.
We can begin by computing the change in magnetic flux across the loop as it expands to determine the average current generated within the loop.
The following equation provides the magnetic flux across a loop:
Φ = B * A * cos(θ)
ΔΦ = B * ΔA
ΔA = A₂ - A₁ = π * (1.00 m)² - π * (0.40 m)² = π * (1.00² - 0.40²) = π * (1.00 + 0.40)(1.00 - 0.40) = π * (1.40)(0.60) = 0.84π m²
So,
ΔΦ = B * ΔA = (24 mT) * (0.84π m²) = 20.25π m²·T
emf = ΔΦ / Δt = (20.25π m²·T) / (1.0 s) = 20.25π V
As:
emf = I * R
So, again
I = emf / R = (20.25π V) / (30 Ω) ≈ 2.13 A
Thus, the average current produced within the loop is approximately 2.13 A.
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What is the sum of the measures of the exterior angles of the polygon shown below? If necessary, round to the nearest tenth.
The sum of the exterior angle of the pentagon is 360 degrees.
How to find the angles in a polygon?The polygon above is a pentagon. A pentagon is a polygon with 5 sides.
If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.
Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.
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Use the proportion. What is 72% of 150
Answer:
108
Step-by-step explanation:
150x0.72=108
Step-by-step explanation:
72% of 150
=> (72/100)×150
=> 10800/100 [ Because, 72×150=10800 ]
=> 108
Thus, 72% of 150 is 108.
Hope this helps you.