can you help me please

Answer:

C) approximately 66 cars per year

Step-by-step explanation:

From 1983 to 2006, that is 2006 - 1983 = 23 (years).
The car sales rose from 2673 to 4194, that is 4194 - 2673 = 1521 (cars)

So the average rate of change is : 1521 : 23 = approx. 66 cars per year

:D hope it helps

Answer:

A is correct

Step-by-step explanation:

The required solution for the given inequality is -17 ≤ x ≤ 10, and this solution to inequality is represented by number line A.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given expression,
|2x + 7| ≤ 27

-27 ≤ 2x+7 ≤ 27
-34 ≤ 2x ≤ 20
-17 ≤ x ≤ 10

Thus, the required solution for the given inequality is -17 ≤ x ≤ 10, and this solution to inequality is represented by number line A.

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Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

\(\huge\textsf{Hey there!}\)

\(\large\textsf{(x - 7) (x - 5)}\)

\(\large\text{DISTRIBUTE each of the numbers}\)

\(\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}\)

\(\large\textsf{x(x) = \bf x}\bf ^2\)

\(\large\textsf{x(-5) = \bf -5x}\)

\(\large\textsf{-7(x) = \bf -7x}\)

\(\large\textsf{(-7)(-5) = \bf 35}\)

\(\mathsf{x^2 - 5x -7x + 35}\)

\(\large\text{COMBINE the LIKE TERMS}\)

\(\mathsf{x^2 -(5x - 7x) + 35}\)

\(\mathsf{-5x -7x = \bf -12x}\)

\(\mathsf{x^2 - 12x + 35}\)

\(\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitirite1040:)}\)

Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

£3.15 (nearest pence)

Step-by-step explanation:

If the price of a coffee has increased by 7% then the final price of the coffee is:  100% + 7% = 107% of the original price.

Therefore, to find the original price of the coffee:

  original price ÷ 107 × 100

= 3.37 ÷ 107 × 100

= £3.15 (nearest pence)

Answer:

The 2nd option.

The points at which f(x) equals its average value on [-2, 2] are:

`x = [1 ± √(13)] / 2`

and  

`x = [-1 ± √(13)] / 2`.

(a) Find the average value of f on [-2, 2]:The average value of f on [-2, 2] is given by the formula:  `f_avg = (1 / b-a) ∫_a^b f(x) dx`Substituting the given values, we get:  `f_avg = (1 / 2-(-2)) ∫_-2^2 (x^2-|x|)dx`Integrating this function will require us to use the definition of an absolute value function which is that |x| = x if x ≥ 0, and -x if x < 0.

Hence we can write the integrand as:

`f(x) = x^2 - |x|

= x^2 - x,  

if x ≥ 0`  `= x^2 + x,

if x < 0`

Next, we find the integral of the function on the interval

[-2, 2]:  `∫_-2^2 (x^2-|x|)dx`  `

= ∫_-2^0 (x^2 + x)dx + ∫_0^2 (x^2 - x)dx`  

`= [-x^3/3 - x^2/2]_-2^0 + [x^3/3 - x^2/2]_0^2`  

`= -4/3 + 2 - 8/3 + 2 - 4/3`  

`= 4/3`

Therefore, the average value of f on [-2, 2] is

 `f_avg = (1 / 2-(-2)) ∫_-2^2 (x^2-|x|)dx

= (1 / 4) (4 / 3)

= 1/3`

Hence, the average value of f on [-2, 2] is `1/3`.(b) Find all points at which f(x) equals its average value on [-2, 2]:We need to solve the equation:

 `f(x) = f_avg`

`⇒ x^2 - |x| - 1/3

= 0`

We can solve this equation by considering two cases:Case 1: x ≥ 0We have:

`x^2 - x - 1/3 = 0`  

`⇒ x = [1 ± √(13)] / 2`

Case 2: x < 0We have:  

`x^2 + x - 1/3 = 0`

`⇒ x = [-1 ± √(13)] / 2`

Therefore, the points at which f(x) equals its average value on [-2, 2] are:

`x = [1 ± √(13)] / 2`

and  

`x = [-1 ± √(13)] / 2`.

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In the given diagram of circle O, we need to find various measurements. Let's consider the following measurements:

Diameter (d): The diameter of a circle is the distance across it, passing through the center. To find the diameter, we can measure the distance between any two points on the circle that pass through the center. Let's say we measure it as 12 units.

Radius (r): The radius of a circle is the distance from the center to any point on the circumference. It is half the length of the diameter. In this case, the radius would be 6 units (12 divided by 2).

Circumference (C): The circumference of a circle is the distance around it. It can be found using the formula C = 2πr, where π is approximately 3.14 and r is the radius. Using the radius of 6 units, we can calculate the circumference as C = 2 * 3.14 * 6 = 37.68 units. Rounding to the nearest whole number, the circumference is approximately 38 units.

Area (A): The area of a circle is the measure of the surface enclosed by it. It can be calculated using the formula A = πr^2. Substituting the radius of 6 units, we can find the area as A = 3.14 * 6^2 = 113.04 square units. Rounding to the nearest whole number, the area is approximately 113 square units.

In summary, for circle O, the diameter is 12 units, the radius is 6 units, the circumference is approximately 38 units, and the area is approximately 113 square units.

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Answer:

y-1=6(x-1)

y-1=6x-6

y-6x=-6+1

y-6x=-5

y-x=-5+6

Answer:

y=6x-5

Step-by-step explanation:

y-1=6(x-1)  

(distribute 6 to x-1)

y-1=6x-6

(add 1 to both sides)

y=6x-5

Answer:

There will be 1 solution to the system of equations.

Step-by-step explanation:

y = 6x - 7

y = 53x + 13

Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.

tadah!

Answer:

just use demos graphing calculator

Step-by-step explanation:

Answer:

2/3 times he kissed her 1/3 times he missed

Step-by-step explanation:

Hit or miss hehe

Answer:

122-8x

Step-by-step explanation:

To find the z-score on a TI-84 calculator with the mean and standard deviation, use the "invNorm" function.

The z-score measures how many standard deviations a data point is away from the mean. On a TI-84 calculator, you can find the z-score using the "invNorm" function, which calculates the inverse of the cumulative distribution function (CDF) for the standard normal distribution.

To find the z-score, follow these steps:

1. Press the "2nd" button, followed by the "Vars" button to access the DISTR menu.

2. Scroll down or press "3" to select "invNorm(" and press "Enter".

3. Enter the desired area under the normal curve (probability), followed by a comma.

4. Enter the mean (μ) followed by another comma.

5. Enter the standard deviation (σ) and close the parentheses by pressing ")".

6. Press "Enter" to calculate the z-score.

The result displayed on the calculator will be the z-score corresponding to the given area, mean, and standard deviation. The z-score helps in understanding the relative position of a data point within a normal distribution by indicating the number of standard deviations it is above or below the mean.

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Answer:

-20

Step-by-step explanation:

He went back 20 and not forward 20.  Everyone would want a penalty if you got to go forward.

Answer:

$216/4=$54

Step-by-step explanation:

You would have to divide to find the quotient because you have to find the cost of one sweater, and the question gave the total price, when you divide the total, in this case is $216 by the 4 sweaters you should get $54 for one! To check you can do 54x4 and you will get $216!

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

To solve this problem, we need to use some basic geometry concepts. First, we know that the diagonal of a unit square is the square root of 2, since the sides are of length 1.  The side length of the smaller square inscribed within a circle inscribed in a unit square is 1.

Next, we know that the circle inscribed in the square will have a diameter equal to the diagonal of the square, which is the square root of 2. The radius of the circle will therefore be half of the diameter, which is sqrt(2)/2.
Now we can use the radius of the circle to find the side length of the smaller square inscribed within it. If we draw the diagonal of the smaller square, it will be twice the radius of the circle, or sqrt(2). This is because the diagonal of the square passes through the center of the circle and therefore has a length equal to twice the radius.
We can then use the Pythagorean theorem to find the length of each side of the smaller square. If we let x be the side length of the smaller square, then we have:
x^2 + x^2 = 2
2x^2 = 2
x^2 = 1
x = 1
Therefore, the side length of the smaller square is 1, which makes sense since it is inscribed within a unit square.

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Hi there!

\(\large\boxed{\text{x = -1, x = 0, x = 5/2, x = 3}}\)

We can find the zeros of the polynomial by setting each factor equal to 0:

p(x) = 4x(x - 3)(x + 1)(2x - 5)

0 = 4x

x = 0

x - 3 = 0

x = 3

x + 1 = 0

x = -1

2x - 5 = 0

2x = 5

x = 5/2

Therefore, the zeros of this polynomial are:

x = -1, x = 0, x = 5/2, x = 3

The true statements about the events (d) One independent event does not affect the probability of another independent event.

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

The events

Where we have:

The true statements about the events are:

Hence, the true statement is (d) One independent event does not affect the probability of another independent event.

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Question

Which statement is TRUE regarding independent and dependent events?

(a) Dependent events do not affect the probability of one another.

(b) The probability of two dependent events both occuring can be calculated through addition.

(c) The probability of two independent events both occuring can be calculated through addition.

(d) One independent event does not affect the probability of another independent event.

Answer:452

Step-by-step explanation:

V = π r^2 h

= 3.14 * 3^2 * 16

= 3.14 * 9 * 16

= 452.16

Answer:

Glass c

Step-by-step explanation:yw :)

Answer:

Point Y

Step-by-step explanation:

I have attached a picture of me showing which point lies on the bisector since it says to bisects <C of polygon ABCDE.

Hope this helps, thank you :) !!

Answer:

A. y = x+0.25

\(~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm\sqrt{16}\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6\)

Answer:

\(x = - 2\)

\(x = 6\)

Step-by-step explanation:

\((x - 2)^{2} = 16\)

\(x - 2 = ± \: 4\)

\(x - 2 = - 4\)

\(x - 2 = 4\)

\(x = - 2\)

\(x = 6\)

The power series constructed is y(x) = a₀ + (-a₁/3)x + (-a₀/2)x² + (-a₁/3)x³ + (a₀/8)x⁴ + (a₁/15)x⁵ + ...

The Emden Equation and determine the coefficients a₀, a₁, a₂, a₃, a₄, and a₅, substitute a power series into the equation and match the coefficients term by term.

Let's assume the power series solution for y(x) is:

y(x) = a₀ + a₁x + a₂x² + a₃x³ + a₄x⁴ + a₅x⁵ + ...

Substituting this series into the Emden Equation, we have:

x(y'' + 2y' + xy) = 0.

Differentiating y(x) with respect to x, we get:

y' = a₁ + 2a₂x + 3a₃x² + 4a₄x³ + 5a₅x⁴ + ...

Differentiating again, we have:

y'' = = 2a₂ + 6a₃x + 12a₄x² + 20a₅x³ + ...

Now, let's substitute these expressions into the Emden Equation:

x((2a₂ + 6a₃x + 12a₄x² + 20a₅x³ + ...) + 2(a₁ + 2a₂x + 3a₃x² + 4a₄x³ + 5a₅x⁴ + ...) + x(a₀ + a₁x + a₂x² + a₃x³ + a₄x⁴ + a₅x⁵ + ...) )= 0.

Expanding and grouping terms by powers of x, we have:

(2a₂ + a₀) x + (6a₃ + 2a₁) x² + (12a₄ + 3a₂) x³ + (20a₅ + 4a₃) x⁴ + ... = 0.

For this equation to hold for all values of x, each coefficient of xⁿ must be equal to zero.

Therefore, we can determine the coefficients as follows:

Coefficient of x°: 2a₂ + a₀ = 0 => a₀ = -a₀/2.

Coefficient of x¹: 6a₃ + 2a₁ = 0 => a₃ = -a₁/3.

Coefficient of x²: 12a₄ + 3a₂ = 0 => a₄ = -a₂/4 = a₀/(2ₓ4) = a₀/8.

Coefficient of x³: 20a₅ + 4a₃ = 0 => a₅ = -a₃/5 = a₁/(3ₓ5) = a₁/15.

Therefore, the coefficients of the power series solution are:

a₀ = a₀ a₁ = -a₁/3 a₂ = -a₀/2 a₃ = -a₁/3 a₄ = a₀/8 a₅ = a₁/15

The power series

y(x) = a₀ + (-a₁/3)x + (-a₀/2)x² + (-a₁/3)x³ + (a₀/8)x⁴ + (a₁/15)x⁵ + ...

This series is known as the power series solution for the Lane-Emden equation, which is used to describe the structure of self-gravitating, spherically symmetric gas clouds, such as in stellar astrophysics.

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