Victoria has $30 to spend at the fair. Admission cost $7. Ride tickets cost $0.75 each.
Write and solve an inequality that represents the number of ride tickets, she can purchase.
(5 points)

Answer:

Solve for x

x=14

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.

Answer:

which question? and i can sure help :))

Step-by-step explanation:

The name of the angle notated by the arc is C. TPS.

Due to the arc, P is the middle letter, so The answer is TPS.

Answer:

Radian angle = 1.154

Central angle = 66.123°

Step-by-step explanation:

Area of Sector, A

A = 1/2 * r² * θ ; θ measured in radian

A = 9 π

r = 7

9 π = 1/2 * 7² * θ

9 π = 24.5θ

θ = 9 π / 24.5

θ = 1.154 radian

1 radian = 57.296°

1.154 radian = (57.296 * 1.154)

1.154 radian = 66.123°

Maclaurin series is used to expand a function in the form of a power series of x. It is also referred to as the Taylor series approximation at x = 0. This series can be useful for estimating the value of a function at any point, especially when the function is too difficult to evaluate directly.

Here's how to obtain the Maclaurin series for the given function f(x) = 2x cos(1/3)x²:
First, we need to take the derivative of the function f(x). This will give us a series of derivatives that can be used to calculate the coefficients for the Maclaurin series.
f(x) = 2x cos(1/3)x²
f'(x) = 2 cos(1/3)x² - 4/3 x² sin(1/3)x²
f''(x) = -4/3 x sin(1/3)x² - 8/9 x³ cos(1/3)x²
f'''(x) = (-8/9 x² cos(1/3)x² + 16/27 x⁴ sin(1/3)x²) / (1/3)x⁴
f''''(x) = (-16/9 x³ sin(1/3)x² - 64/81 x⁵ cos(1/3)x²) / (1/3)x⁵
The Maclaurin series for the function f(x) is given by:
f(x) = f(0) + f'(0)x + f''(0)x²/2! + f'''(0)x³/3! + f''''(0)x⁴/4! + ...
Substituting the derivatives at x = 0 into this formula, we get:

f(0) = 2(0)cos(1/3)(0)² = 0
f'(0) = 2 cos(1/3)(0)² - 4/3(0)² sin(1/3)(0)² = 2
f''(0) = -4/3(0) sin(1/3)(0)² - 8/9(0)³ cos(1/3)(0)² = 0
f'''(0) = (-8/9(0)² cos(1/3)(0)² + 16/27(0)⁴ sin(1/3)(0)²) / (1/3)(0)⁴ = 0
f''''(0) = (-16/9(0)³ sin(1/3)(0)² - 64/81(0)⁵ cos(1/3)(0)²) / (1/3)(0)⁵ = -16/9
Substituting these values into the formula for the Maclaurin series, we get:
f(x) = 2x - (16/9)x⁴/4! + ...
The Maclaurin series is a special case of the Taylor series, where the center is at x = 0. It is a power series expansion of a function in terms of its derivatives at x = 0. It is named after the Scottish mathematician Colin Maclaurin, who developed this concept in the 18th century. The Maclaurin series has many applications in mathematics, physics, and engineering. It can be used to approximate the value of a function at any point, to find the zeros of a function, to solve differential equations, and to evaluate integrals. The accuracy of the Maclaurin series depends on the number of terms used in the expansion. The more terms that are used, the closer the approximation will be to the true value of the function.

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The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Answer: y= 1.99x+ 50

Equation: y=mx+b

Hello!

{3x + y = 23 _ {y = 23 - 3x

{8x + 2y = 23 {8x + 2(23 - 3x)

The answer is A.

Good luck! :)

Answer:

(−2,10)

Step-by-step explanation:

hope this helps

Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

p = 3,500 * 1.025^t

This function can be used to estimate the population of the town after any number of years t, assuming the growth rate remains constant.

An exponential function is a mathematical function of the form f(x) = ab^x, where a and b are constants and b is greater than zero and not equal to 1. The independent variable x is the exponent, and the dependent variable f(x) is the result of raising the base b to the power x, and then multiplying the result by the constant a.

In he question,

To write an exponential function that models the total population p after t years, we can use the formula:

\(p = p0 * (1 + r)^t\)

where p0 is the initial population, r is the annual growth rate as a decimal, and t is the number of years.

In this case, the initial population p0 is 3,500, and the annual growth rate is 2.5%, or 0.025 as a decimal. Therefore, the exponential function that models the population after t years is:

\(p = 3,500 * (1 + 0.025)^t\)

Simplifying this expression gives:

\(p = 3,500 * 1.025^t\)

This function can be used to estimate the population of the town after any number of years t, assuming the growth rate remains constant.

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Answer:

Step-by-step explanation:

Since line segment EF is parallel to line segment BD, we can use the property that corresponding angles are congruent to set up the following proportion:

EF/BD = FL/BC

Substituting the given values:

EF/4 = 5/12

Cross-multiplying:

EF = 4 x 5/12 = 5/3 cm

We can use the fact that triangles BCD and EFD are similar (having two congruent angles) to set up another proportion:

CD/EF = BC/BD

Substituting the given values:

CD/(5/3) = 12/BD

Solving for CD:

CD = (5/3) x 12/BD = 20/BD cm

We can use the Pythagorean theorem to find the length of BD:

BD^2 = BC^2 + CD^2

Substituting the given values:

BD^2 = 3^2 + 12^2 = 153

Taking the square root of both sides:

BD = sqrt(153) = 3sqrt(17) cm

Substituting this value into the expression for CD:

CD = 20/BD = 20/(3sqrt(17)) = (20/3)sqrt(17) cm

Therefore, the length of line segment CD is (20/3)sqrt(17) cm.

Answer:

12

Step-by-step explanation:

sqrt(144)

What number times itself equals 144

12*12 = 144

-12*-12 =144

Given your choices, your solution is 12

The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:

List 4.

A sample space is a set that contains all possible outcomes in the context of an experiment.

The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.

Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:

4 x 4 = 16.

This means that the correct list is either the list 3 or the list 4.

As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.

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Answer: List 4

Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.

Also I know the right answer because I got it right

So good luck on y'all's math tests :)

Here is some proof that the answer is List 4

Answer:

8x - y = -6

Step-by-step explanation:

The standard form of the equation y = 8x + 6 is -8x + y = 6.

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are constants, and A and B are not both zero.

To convert the equation y = 8x + 6 into standard form, we can rearrange the terms:

-8x + y = 6

In this form, the coefficient of x, A, is -8, the coefficient of y, B, is 1, and the constant term, C, is 6.

Therefore, the standard form of the equation y = 8x + 6 is -8x + y = 6.

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Answer:

2/3

1/3-2/3-3/3......

The linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

The linear approximation of the function f(x)= sqrt(4-x) at a=0 is given by:

L(x) = f(a) + f'(a)(x-a)
    = sqrt(4-0) + (-1/2)(x-0)
    = 2 - 0.5x

To approximate the numbers sqrt(3.9) and sqrt(3.99) using L(x), we need to plug in the values of x and round the answer to four decimal places.

For sqrt(3.9), we have:

L(3.9) = 2 - 0.5(3.9)
      = 0.05

Rounding to four decimal places, we get:

L(3.9) ≈ 0.0500

For sqrt(3.99), we have:

L(3.99) = 2 - 0.5(3.99)
       = 0.005

Rounding to four decimal places, we get:

L(3.99) ≈ 0.0050

Therefore, the linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

To find the linear approximation L(x) of the function f(x) = sqrt(4-x) at a=0, we need to calculate the value of the function and its derivative at a=0:

f(a) = f(0) = sqrt(4-0) = sqrt(4) = 2

Now, we find the derivative of f(x) with respect to x:
f'(x) = d/dx(sqrt(4-x)) = -1/(2*sqrt(4-x))

Next, evaluate f'(x) at a=0:
f'(0) = -1/(2*sqrt(4-0)) = -1/(2*2) = -1/4

The linear approximation L(x) is given by:
L(x) = f(a) + f'(a)(x-a)
L(x) = 2 - (1/4)(x-0) = 2 - (1/4)x

Now, we use L(x) to approximate sqrt(3.9) and sqrt(3.99):
L(0.1) = 2 - (1/4)(0.1) = 1.9750
L(0.01) = 2 - (1/4)(0.01) = 1.9975

So, the linear approximations of sqrt(3.9) and sqrt(3.99) are 1.9750 and 1.9975, respectively.

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(2, 5), (4, 3), (-1, 8), (2, -1), (6, 7), (1, 2) is the relation that is a function. Option B is the right answer.

A function is a special type of relation where each element of the domain (the set of inputs) is paired with exactly one element of the range (the set of outputs).

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

In option B, for each input there is only one corresponding output, so it satisfies the definition of a function.

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Answer:

Dang that’s Hard

Step-by-step explanation:

Answer:

-3x-12

Step-by-step explanation:

Answer:

-3x-12

Step-by-step explanation:

This is a problem of distribution.

Distribute means to multiply the variable outside the perenthesis to what's inside the perenthesis.

What you are going to do is distribute the -3 to the x and 4

-3 times x is -3x

-3 times 4 is -12

Make sure the signs are correct and the new expression is -3x-12

Answer:

1

Step-by-step explanation:

\(\frac{2}{-3}\) × \(\frac{-3}{2}\) ( cancel - 3 on numerator/ denominator

= \(\frac{2}{1}\) × \(\frac{1}{2}\) ( cancel 2 on numerator/ denominator )

= 1 × 1

= 1

You answer is 10404 to get this answer multiply the 102 double time

A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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Answer:

300

Step-by-step explanation:

I = interest earned

P = Principal

R = interest rate

T = Months

plug in all the numbers which would be...

45 = P x 0.03 x 5 *Note that 0.03 is 3% in decimal form

0.03 x 5 = 0.15

45 = P x 0.15

to make the P by itself you have to divide 0.15 to both sides

45/0.15 = 300

P = 300

Answer: The GCF of 7, 15, & 21 is 1

Step-by-step explanation: the greatest number that divides all three numbers is 1

Answer:

FM = 11x - 26.5

Step-by-step explanation:

FM + 10.9 =11x - 15.6

FM = 11x - 15.6 - 10.9

FM = 11x - 26.5

Answer:you need to charge your ipad or phone

Step-by-step explanation:

The doc string should be the next indented line after the def statement.

According to the statement

we have to find that the for creating a doc string for the given function at which place should be the doc string.

So, For this purpose, we know that the

The doc string is used in the python which is the part of programming.

So, The Python is a computer programming language often used to build websites and software, automate tasks, and conduct data analysis.

And the The doc string should be the next indented line after the def statement.

it means the place of the doc string is at the next indented line after the def statement.

So, The doc string should be the next indented line after the def statement.

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Answer:

∠DCB = 102°

Explanation:

∠CDB = ∠CBD

∠DCB = 180° - ∠CBD - ∠CDB

∠DCB = 180° - 39° - 39°

∠DCB = 102°