Mrs. Taylor's science class counted the number of each bird in the school yard.
The table shows the results. Mrs. Taylor made a bar graph. Each grid line represents 2 birds.
The bar for cardinal is 2 grid lines higher than the bar for Carolina wren. How many cardinals did the class see
Type of Bird
Number of Birds
Carolina Wren
Eastern Towhee
European Starling
Cardinal
6
14
9
Enter your answer in the box.

Answer: 5

Step-by-step explanation:

each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.

500cal = 1 lb.

1000cal = 1 banana split

1 banana split = 2lbs.

to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits

T(0, 1, -3) is equal to (-1, 9, -2) according to the given mappings of the linear transformation T.

Linear transformation T maps vectors in R³ to vectors in R³. We are given specific mappings for three basis vectors: 7(1, 0, 0) = (-1, 4, 2), T(0, 1, 0) = (1, 3, -2), and 7(0, 0, 1) = (2, -2, 0).

To find the image of a vector using the linear transformation, we can express the given vector as a linear combination of the basis vectors and then apply the mappings accordingly. In this case, we want to find T(0, 1, -3).

Expressing (0, 1, -3) as a linear combination of the basis vectors, we have:

(0, 1, -3) = (0)(1, 0, 0) + (1)(0, 1, 0) + (-3)(0, 0, 1)

Now, applying the mappings, we can evaluate T(0, 1, -3) as:

T(0, 1, -3) = (0)(-1, 4, 2) + (1)(1, 3, -2) + (-3)(2, -2, 0)

            = (0, 0, 0) + (1, 3, -2) + (-6, 6, 0)

            = (-1, 9, -2)

Therefore, T(0, 1, -3) is equal to (-1, 9, -2) according to the given mappings of the linear transformation T.

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The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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The characteristic equation of a closed-loop control system with a proportional-integral (PI) controller is given by:

s^2 + (k_i/k_p)s + (1/k_p) = 0

where k_p is the proportional gain and k_i is the integral gain of the PI controller. To find the roots of the characteristic equation, we can use the quadratic formula:

s = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation. Therefore, the roots of the characteristic equation depend on the values of k_p and k_i, which in turn depend on the specific feedback process being controlled.

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The value of the functions at 9m is

Generally, In mathematics, a function is a rule that maps one set of values (the domain) to another set of values (the range). The values in the range are determined by applying the function to the values in the domain.

Functions can take many forms and be expressed in different ways, including:

Linear functions: a function that produces a straight line when graphed. It has the form f(x) = mx + b, where m is the slope of the line and b is the y-intercept.

Quadratic functions: a function that produces a parabola when graphed. It has the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Therefore, this function

- f(x) = 4x

g(x) = 9x¹/2

for

F(x)=4x

F(9)=4*9

f(9)=36

for

g(x) = 9x¹/2

g(9)=9√9

=27

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The error involved in approximating the sum of the given series by the sum of the first five terms of the series is `R5 = 1/6³ + 1/7³ + ...`.

To estimate the error that is made by approximating the sum of the given series by the series the first 5 terms 1/k³, we can use the remainder term of a convergent series.

The given series is ∑ 1/k³ from k = 1 to infinity.We have to find the error involved in approximating the sum of the given series by the sum of the first five terms of the series.

That is, we need to find the difference between the actual sum of the series and the sum of the first five terms of the series.

The sum of the series is given by: `S = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ... + 1/n³ + ...` We can use the remainder term of the series to find the error in approximation.

The remainder term `Rn` is given by: `Rn = Sn - S` where `Sn` is the sum of the first `n` terms of the series. Thus, we have to find the remainder term for `n = 5`.

The remainder term `Rn` is given by: `Rn = S - Sn = 1/6³ + 1/7³ + ...` Since the given series is convergent, the remainder term `Rn` tends to zero as `n` tends to infinity.

So, if we take the sum of the first five terms of the series, the error involved in approximation is given by the remainder term `R5`.

The error involved in this approximation is very small and can be neglected.

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Answer:

if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle

Answer:

20

Step-by-step explanation:

I took the test and passed I hope this helps.

Answer:

The last one $21.76

Step-by-step explanation:

First you look at the chart and see that a container of paint is $2.72 next you multiply 2.72 by 8 not 7 because Susan AND her seven friends and get $21.76.

Answer:

$21.76

Step-by-step explanation:

thnk me later

Answer:

16.7%

Explanation:

The number of faces in a die = 6

Multiples of 3, {3,6} = 2

The total number of cards in a standard deck = 52

Number of red cards = 26

Therefore, the probability that the die will be a multiple of 3 and the card will be red:

(a) Two real numbers a and b do not satisfy a^4 if neither x<-2 nor x>2.

(c) There exist non-negative x and y such that xy > 2x+y.

(d) For all integers m and n, 2n+3m ≠ 12.

(a) To negate the statement "Two real numbers a and b satisfy a^4 then either x<-2 or x>2," we need to find an example where a^4 is true, but neither x<-2 nor x>2. For instance, let a = 1 and x = 0.5. Then a^4 = 1, which satisfies the condition, but x is not less than -2 or greater than 2. Therefore, the negation is "Two real numbers a and b do not satisfy a^4 if neither x<-2 nor x>2."

(c) To negate the statement "For all x,y≥0, xy​≤2x+y​," we need to find a counterexample where xy > 2x+y. Let x = 1 and y = 1. Then xy = 1, and 2x+y = 4, so xy > 2x+y. Therefore, the negation is "There exist non-negative x and y such that xy > 2x+y."

(d) To negate the statement "There exist integers m and n such that 2n+3m=12," we need to prove that for all integers m and n, 2n+3m ≠ 12. We can do this by contradiction. Suppose there exist integers m and n such that 2n+3m = 12. Then 2n = 12 - 3m, which means 2n is divisible by 3. But this is impossible since 2n is even and 3 is odd. Therefore, the negation is "For all integers m and n, 2n+3m ≠ 12."

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Answer:

The length of the diagonal, d is approximately 24.49 cm

Step-by-step explanation:

The question asks to find the length of the interior diagonal of a rectangular prism, also known as a cuboid;

The parameters of the prism are;

The height of the prism = 10 cm

The width of the prism = 10 cm

The length of the prim = 20 cm

The length of the given diagonal of the cuboid is found by Pythagoras's theorem from the height, 'h', of the cuboid and the diagonal of the base of the cuboid

Let 'l' represent the diagonal of the base of the cuboid, we have, by Pythagoras's theorem;

l² = ((20 cm)² + (10 cm)²) = 500 cm²

The length of the diagonal, 'd', by Pythagoras's theorem is given as follows;

d = √(l² + (²10 cm))

By plugging in the known value for 'l² = 500 cm²', we get;

d = √(500 cm² + (²10 cm)) = √(600 cm²) = 10·√6 cm

The length of the diagonal, d = 10·√6 cm ≈ 24.49 cm (by rounding to the nearest hundredth cm)

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

The equation written in slope intercept form would be: y=200x+500

and it would be graphed at: 0,500

Step-by-step explanation:

To find the slope intercept equation use the y=mx+b form so m would be 200 and b would be 500.

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

The proportionality used in the given diagram is 4/3=12/x if ΔABC and ΔDEF are similar. So, option 4 is correct.

Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry.

In Euclidean geometry, any three non-collinear points determine a distinct triangle and a distinct plane (i.e. a two-dimensional Euclidean space). To put it another way, every triangle has a plane that it is contained in, and there is only one plane that contains every triangle. If and only if all geometry is the Euclidean plane, all triangles are contained in a single plane; however, this is no longer true in higher-dimensional Euclidean spaces. The topic of this article, unless otherwise stated, is triangles in Euclidean geometry, specifically the Euclidean plane.

We have to assume that ΔABC and ΔDEF are similar.

If the triangles are similar,

Then the proportionality is:

AB/BC=DE/EF

4/3=12/x

Therefore, the proportionality used in the given diagram is 4/3=12/x.

So, option 4 is correct.

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Answer:

I think its the last option , the pie squared over 16

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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Answer:

D 70,000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

simple if you know how to multiply cuz thats all you doing anyway.

anyways you Welcome.

A reflection in the x-axis is recognized by the reversal of y-coordinates. Pre-image points' y-coordinates are multiplied by -1 to obtain the corresponding image points' y-coordinates.

The given coordinates show that a reflection has occurred on the x-axis. In a reflection over the x-axis, the y-coordinates of the pre-image points are multiplied by -1 to get the corresponding points in the image.

In this case, the y-coordinate of point a changed from -5 to 5, while the y-coordinate of point b changed from 1 to -1. However, the y-coordinate of point c remained the same at 0. Thus, a reflection in the x-axis has occurred.

The summary of the answer is that the reflection in the x-axis is identified through the change in the y-coordinate of the points in the image from those in the pre-image.

The y-coordinates in the pre-image are multiplied by -1 to obtain the corresponding y-coordinates in the image.

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Answer: Both answers equal 198

Step-by-step explanation:

While at first this problem may look weird and even stump you. However, break it up.

What is 273-75? 198

What is 280-82? 198

The reason both equation equals each other are because both have the same answer.

Another example problem: 100-1=26+73

100-1= 26+73

100-1 = 99

26+73 = 99

Answer:

B

Step-by-step explanation:

Answer:

29 mph

Step-by-step explanation:

divide 145 miles by 5 hours to calculate your miles per hour. 145 / 5 = 29!

Answer: 58 mph

Step-by-step explanation: Since its a round trip multiply 145 by 2.

290

Divide 290/5= 58

58 miles per hour

Answer: C is correct answer

Step-by-step explanation:

The individual most closely associated with innovations in photographic equipment was George Eastman

American businessman George Eastman helped popularize the use of roll film in photography by founding the Eastman Kodak Company.

George Eastman's entrepreneurial passion, fearless leadership, and amazing vision revolutionized the globe. He revolutionized the photography, film, and motion picture industries and is credited with establishing the Eastman Kodak Company, which will live on throughout history.

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complete question;

The individual most closely associated with innovations in photographic equipment was ________

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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In part (b) of the previous question, we found that the power series representation of the function $f(x)=\frac{x^2}{1+x^2}$ is:

 \(\lim_{n \to \infty} (-1)^{n} x^{2n}\)

To find the interval of convergence of this power series, we can use the ratio test. Let $a_n=(-1)^n x^{2n}$ be the general term of the series. Then, the ratio of consecutive terms is:

\(\left[\begin{array}{ccc}an+1/an\end{array}\right] = \left[\begin{array}{ccc}(-1)^{n+1} x^{2(n+1)} )/ (-1)^{n}x^{2n} \end{array}\right] = \left[\begin{array}{ccc}x^{2}\end{array}\right]\)

The series converges if the limit of the ratio as $n$ approaches infinity is less than 1, and diverges if the limit is greater than 1. Therefore, we have:

\(\lim_{n \to \infty} \left[\begin{array}{ccc}(a_{n}+1)/a_{n} \end{array}\right] = \left[\begin{array}{ccc}x^{2} \end{array}\right]\)

The series converges if $|x|^2<1$, and diverges if $|x|^2>1$. If $|x|^2=1$, the test is inconclusive and we need to use other convergence tests.

Therefore, the interval of convergence of the series is $-1<x<1$. To check the convergence at the endpoints $x=-1$ and $x=1$, we can use the alternating series test. At $x=-1$, the series becomes:

\(\lim_{n \to \infty} (-1)^{n}(-1)^{2n} = \lim_{n \to \infty} 1\)

which diverges. At $x=1$, the series becomes:

\(\lim_{n \to \infty} (-1)^{n}1^{2n} = \lim_{n \to \infty} (-1)^{n}\)

which also diverges. Therefore, the interval of convergence of the series is $-1<x<1$, and the series diverges at the endpoints.

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The probability of a patient surviving bypass surgery after a heart attack and the heart damage healing is 30%.

The probability of a patient surviving bypass surgery after a heart attack and the heart damage healing is 0.6 x 0.5 = 0.3, or 30%. This means that there is a 30% chance that the patient will survive bypass surgery and the heart damage will heal.

To find this probability, we need to use the multiplication rule. The multiplication rule states that the probability of two events occurring simultaneously is the product of the probabilities of each event occurring independently. In this case, the probability of the patient surviving the bypass surgery is 0.6, and the probability of the heart damage healing is 0.5. Multiplying these two numbers together gives us the probability of 0.3, or 30%.

It is important to note that this probability is the same as the probability of the two events occurring in any order. For example, the probability of the heart damage healing before the patient survives the bypass surgery is also 0.3, or 30%.

Furthermore, this probability of 0.3 is independent of any other variables. That is, if the patient has a higher chance of survival or the heart damage has a higher chance of healing, the overall probability will remain at 0.3.

In summary, the probability of a patient surviving bypass surgery after a heart attack and the heart damage healing is 0.6 x 0.5 = 0.3, or 30%.

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Answer:

Yes

Step-by-step explanation:

I think its yes.I think It's Yes.

Answer:

Ggle

Step-by-step explanation:

Ggle has this shape thing that you could be able, back when I was in 6th grade I remember doing these problems and needing it