I need help with this

Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44

BAR GRAPH make sure its not a histogram!!

Step-by-step explanation:

just took the test

1. The equation of the tangent line to the graph of f(x) at the point (0, 0) is y = 7x.

2. The equation of the normal line to the graph of f(x) at the point (0, 0) is y = -1/7x.

To find the equations of the tangent line and the normal line to the graph of the function f(x) = \(7xe^x\) at the point (0, 0), we need to find the slope of the tangent line and the normal line at that point.

1. Tangent line:

The slope of the tangent line at a given point can be found by taking the derivative of the function and evaluating it at that point.

f(x) =\(7xe^x\)

Taking the derivative of f(x) with respect to x:

f'(x) = \(7e^x + 7xe^x\)

Now, we evaluate f'(x) at x = 0 to find the slope of the tangent line at (0, 0):

tangent = f'(0) = \(7e^0 + 7(0)e^0 = 7\)

The slope of the tangent line is 7. Since the point (0, 0) lies on the tangent line, we can use the point-slope form to find the equation of the tangent line:

y - y1 = m(x - x1)

Using (x1, y1) = (0, 0) and m = 7, we have:

y - 0 = 7(x - 0)

y = 7x

Therefore, the equation of the tangent line to the graph of f(x) at the point (0, 0) is y = 7x.

2. Normal line:

The slope of the normal line is the negative reciprocal of the slope of the tangent line. So, the slope of the normal line at (0, 0) is -1/7.

Using the point-slope form with (x1, y1) = (0, 0) and m = -1/7, we can find the equation of the normal line:

y - 0 = (-1/7)(x - 0)

y = -1/7x

Therefore, the equation of the normal line to the graph of f(x) at the point (0, 0) is y = -1/7x.

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Find equations of the tangent line and the normal line to the graph of the given function at the specified point.

1. f(x)=7xe^x,

2. (0,0) tangent line y= normal line y=

Step-by-step explanation:

5-(-2)

5+2 (a minus and a minus together gives a plus)

=7

9+ (-2)

9-2

=7 (a plus and a minus gives a minus)

Yes it will give you the same answer as a minus and a minus together gives a plus and a plus and a minus gives a minus

Answer:

To determine the number of 4-digit numbers that are multiples of at least one of the numbers 2 and 5, we can use the principle of inclusion-exclusion.

First, let's find the number of 4-digit numbers that are multiples of 2. The first 4-digit multiple of 2 is 1000, and the last 4-digit multiple of 2 is 9998. To find the count of multiples, we can divide the difference between these two numbers by 2 and add 1 (since we're including both endpoints):

Number of multiples of 2 = (9998 - 1000) / 2 + 1 = 4500

Next, let's find the number of 4-digit numbers that are multiples of 5. The first 4-digit multiple of 5 is 1000, and the last 4-digit multiple of 5 is 9995. Similar to before, we divide the difference between these two numbers by 5 and add 1:

Number of multiples of 5 = (9995 - 1000) / 5 + 1 = 1800

However, if we simply add these two counts together, we will be counting the multiples of 10 twice (since 10 is a multiple of both 2 and 5). To correct this, we need to subtract the number of 4-digit multiples of 10.

To find the number of 4-digit multiples of 10, we divide the difference between the first and last 4-digit multiples of 10 (1000 and 9990) by 10 and add 1:

Number of multiples of 10 = (9990 - 1000) / 10 + 1 = 900

Now we can use the principle of inclusion-exclusion to calculate the final count:

Number of 4-digit numbers that are multiples of at least one of 2 or 5 = Number of multiples of 2 + Number of multiples of 5 - Number of multiples of 10

= 4500 + 1800 - 900 = 5400

Therefore, there are 5400 4-digit numbers that are multiples of at least one of the numbers 2 and 5.

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

Answer:

32 A becuz ur h a y and u are smart

The sum of the two integers is -23.

Let the two negative integers be x and y where x is less than y. We know that their difference is 5 units apart. This means:

y - x = 5, or y = 5 + x

Also, we know that the product of the two integers is 126.

Therefore: x * y = 126

Substituting y in terms of x:x(5 + x) = 126

Simplifying: x² + 5x - 126 = 0(x + 14)(x - 9) = 0

Taking the negative root since the integers are negative:

x = -14, y = -9

The sum of the two integers is:-14 + (-9) = -23

Therefore, the sum of the two integers is -23.

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Answer:

Step-by-step explanation:

This is a linear relationship:

Rate per hour is the slope, service fee is the y-intercept:

The equation is:

The amount of charge per 5.5 hour job:

The probability distribution of Y is geometric with parameter p = 1 - \(e^-^\lambda\) is (1 -  \(e^-^\lambda\) )^(k-1) *  \(e^-^\lambda\)

If X is exponential with rate λ, then Y=[X]+1 is geometric with parameter p=1− \(e^-^\lambda\) .


Let X be an exponential random variable with rate λ, then the probability density function of X is fX(x) = λe^(-λx) for x ≥ 0.
Now, let Y = [X] + 1, where [X] is the largest integer less than or equal to X.
The probability that Y = k, where k is a positive integer, is given by:

P(Y = k) = P([X] + 1 = k)

= P(k-1 ≤ X < k)

= ∫_(k-1)^k λ \(e^-^\lambda^x\) dx

= e^(-λ(k-1)) - e^(-λk)

= (1 -  \(e^-^\lambda\) )^(k-1) *  \(e^-^\lambda\)

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Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

40

Step-by-step explanation:

A hypothesis is a) prediction of results and b) tentative statement that something maybe true.

A hypothesis is a statement or assumption made about a phenomenon or relationship, used as a starting point for further investigation. It is a tentative explanation for an observation, phenomenon or problem that can be tested through experimentation or additional data collection.

So a hypothesis can be true of false. A hypothesis is not certainly a fact too since it need to be tested.

If a hypothesis is proven to be true through experimentation and data analysis, it becomes a confirmed explanation or prediction. This means that the evidence supports the hypothesis and it can be used as a basis for further study or explanation. However, a true hypothesis is always subject to revision or rejection if new information or evidence becomes available.

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The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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The probability of producing less than 239,000 barrels is 0.8413.

The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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The area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ) is \(2\pi - 2\cos^{-1}\left(\frac{1}{4}\right) - \sqrt{15}\).

To find the area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ), we need to determine the limits of integration for θ.

First, let's find the values of θ where the circle and the vertical line intersect:

r = 4cos(θ)

sec(θ) = 4cos(θ)

To simplify the equation, let's convert sec(θ) to its reciprocal form:

1/cos(θ) = 4cos(θ)

Multiplying both sides by cos(θ), we get:

1 = 4\(cos^2\)(θ)

Rearranging the equation, we have:

4\(cos^2\)(θ) - 1 = 0

Using the identity \(cos^2\)(θ) - \(sin^2\)(θ) = 1, we can rewrite the equation as:

\(cos^2\)(θ) - \(sin^2\)(θ) = 1/4

Applying the double-angle formula for cosine, we get:

cos(2θ) = 1/4

Taking the inverse cosine of both sides, we have:

2θ = ± \(\cos^{-1}\left(\frac{1}{4}\right)\)

Solving for θ, we get two values:

θ = ± (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)

Since we are interested in the region to the right of the vertical line, we'll consider the positive value of θ:

θ = (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)

Now, we can find the area by evaluating the integral:

A = ∫[θ, π/2] 1/2 (\(r^2\)) dθ

Substituting the equations for r, we have:

\(A = \int_{\theta}^{\frac{\pi}{2}} \frac{1}{2} (4\cos^2(\theta)) \, d\theta\)

Simplifying further:

\(A = \int_{\theta}^{\frac{\pi}{2}} 8\cos^2(\theta) \, d\theta\)

Using the double-angle formula for cosine, we have:

A = ∫[θ, π/2] 4(1 + cos(2θ)) dθ

Integrating term by term, we get:

A = [4θ + 2sin(2θ)] evaluated from θ to π/2

Now, Substituting the limits of integration, we get:

A = [4(π/2) + 2sin(2(π/2))] - [4θ + 2sin(2θ)] evaluated from θ to π/2

Simplifying:

A = 2π + 2sin(π) - (4θ + 2sin(2θ))

Since sin(π) = 0, we can simplify further:

A = 2π - (4θ + 2sin(2θ))

Now, we need to substitute the value of θ, which we found earlier:

θ = (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)

Substituting this value, we have:

A = 2π - (4(1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2sin(2(1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)))

Simplifying:

A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2sin(\(\cos^{-1}\left(\frac{1}{4}\right)\)))

Since cos(\(\cos^{-1}\left(x\right)\)) = x, we have:

A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2(√(1 - (1/4)^2)))

Simplifying further:

A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2(√(15/16)))

A = 2π - 2 \(\cos^{-1}\left(\frac{1}{4}\right)\) - √15

So, the area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ) is \(2\pi - 2\cos^{-1}\left(\frac{1}{4}\right) - \sqrt{15}\).

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Answer:

it is a function

Step-by-step explanation:

y = f (x) =x2 + 5x + 6

Answer: stop spamming

Step-by-step explanation:

For a circle with a diameter of 10 cm, the circumference would be C = π(10) = 31.4 cm. The correct option is (D) 31.4 cm.

The circumference of a circle can be calculated using the formula           C = πd, where C represents the circumference and d represents the diameter of the circle.

We have the diameter of the circle is 10 cm, we can substitute this value into the formula:

C = π * 10 cm

Calculating the circumference using an approximate value of π as 3.14:

C ≈ 3.14 * 10 cm

C ≈ 31.4 cm

Therefore, the circumference of a circle with a diameter of 10 cm is approximately 31.4 cm.

The correct answer is D) 31.4 cm.

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The solution to the equation by completing the square is x = 5 or 1/3

From the question, we have the following parameters that can be used in our computation:

6x2 − 32x = −10

Express the exponents properly

So, we have the following representation

6x² − 32x = −10

Divide through by 6

So, we have

x² − 16/3x = −5/3

--------------------------------------

Take the coefficient of x

k = -16/3

Divide by 2

k = -8/3

Square both sides

k = 64/9

--------------------------------------

Add 64/9 to both sides

x² − 16/3x + 64/9 = 64/9 − 5/3

So, we have

x² − 16/3x + 64/9 = 49/9

This gives

(x - 8/3)² = 49/9

Take square roots

x - 8/3 = ±7/3

So, we have

x = 8/3 ±7/3

Solve for x

x = 5 or 1/3

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Answer:

Step-by-step explanation:

Please give me Brainliest!

Answer:

R(m) = \(\frac{250}{m} +500, m\geq 1;\) 5 months

Step-by-step explanation:

I hope this helps!

Axiomatic semantics, a branch of formal semantics, is based on mathematical logic. It provides a formal framework for defining the behavior and meaning of programming languages or formal systems.

Mathematical logic serves as the foundation for axiomatic semantics, offering tools and methods to define and reason about formal systems. It encompasses propositional and predicate logic, set theory, and proof theory. In axiomatic semantics, mathematical logic is used to define syntax, semantics, and proof systems, allowing for precise specifications of program behavior and correctness.

While other branches of mathematics such as set theory and calculus may be utilized in defining underlying structures and functions, the core principles and techniques of axiomatic semantics are rooted in mathematical logic. This logical framework enables rigorous reasoning about program properties and supports the verification and analysis of programs and systems.

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Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation:

The points H(2, 2), I(3, 6), and J(5, 5) do not form a right triangle based on the given coordinates.

To prove that the points H(2, 2), I(3, 6), and J(5, 5) form a right triangle, we can use the concept of slopes and the Pythagorean theorem.

Calculate the slopes of the lines formed by connecting the points.

The slope of line HI can be found using the formula (y2 - y1) / (x2 - x1):

m(HI) = (6 - 2) / (3 - 2) = 4 / 1 = 4.

The slope of line HJ can be found similarly:

m(HJ) = (5 - 2) / (5 - 2) = 3 / 3 = 1

The slope of line IJ can be found as well:

m(IJ) = (5 - 6) / (5 - 3) = -1 / 2

Check if the product of the slopes of two lines is -1.

If the product of the slopes of two lines is -1, it indicates that the lines are perpendicular and form a right angle.

Let's check the product of the slopes:

m(HI) \(\times\) m(IJ) = 4 \(\times\) (-1/2) = -2

Since the product of the slopes is -2 (not -1), the lines HI and IJ are not perpendicular.

Therefore, the points H(2, 2), I(3, 6), and J(5, 5) do not form a right triangle based on the given coordinates.

In conclusion, the given points do not satisfy the condition of forming a right triangle.

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Answer:

area=½×base×height

=½×10×70

=½×700

=350cm²

Answer:

-1

Step-by-step explanation:

1(+-)2=

step 1: a positive and a negative is a negative

1-2=-1

Answer:

-1

Step-by-step explanation:

negative and positive is negative

1+(-2)

1-2

-1