Select the equation that is the inverse of the given function.


x


- 3


f(x) =


5


o


o


o


f-1(x) = 5x + 15


f-1(x) = 5x +3


f-1(x) = 3x - 5


-1(x) = x


wun


DONE

The observational unit in this context is the student. The correct answer is option b.

An observational unit is the entity or object that is being observed or measured in a study. In this case, the study is examining the relationship between pulling an all-nighter and GPA, so the unit of observation is the individual student.

The researcher is conducting the study, but is not the entity being observed. Similarly, GPA is a variable being measured and is not the unit of observation.

The variable of interest in this study is whether or not the student has pulled an all-nighter, but again, it is the student who is the unit of observation, since the study is examining how this variable is related to GPA at the individual level.

The correct answer is option b.

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Answer:

B. (1, 2)

Step-by-step explanation:

In a function, each value used in as an x-coordinate can be used only once.

Values already used as x-coordinates: -3, 8, 0, -5

The answer cannot have -3, 8, 0, or 5 as an x-coordinate.

The only choice without one of those four values as an x-coordinate is (1, 2).

Answer: B. (1, 2)

Answer:

B

Step-by-step explanation:

-5 is already used

-3 is already being used

0 is already being used

Every x value can only be itself once

Answer:

(x+3)(2x+3)

Step-by-step explanation:

Factor:

2x^2+9x+9

=(2x+3)(x+3)

Answer:

(x + 3)(2x + 3)

Step-by-step explanation:

Sum = 9

Product = 2*9 = 18

Factors = 6 ,3

2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3

                    = 2x ( x + 3) + 3( x + 3)

                      = (x +3)(2x + 3)                

Answer: Jody can buy at most 63 sheets of paper

Step-by-step explanation:

you would start by subtracting $18.25 from the total $40, which leaves you with $21.75

you then do 21.75 ÷ (divided by) 0.34

that gives you 63.971, and you can only buy whole sheets of paper, you round to 63 and thats your answer

answers:

3.5

2.875

about 3.0625

Use thing below for answers

Answer:

Step-by-step explanation:

when operating with two negative signs, the signs change to positive. so, the question becomes;

4/7 + 3/5

find LCM of the denominators then calculate, or just use a calculator.

the answer is 41/35 or in mixed fraction = 1 and 6/35

Answer:

D

Step-by-step explanation:

Sides are not proportional.

The two-way table allows us to calculate the joint distribution, marginal distributions, and conditional distributions for incidents of sexual harassment in middle and high schools. The most appropriate conditional distribution depends on the research question and the factors being considered.

In this study on sexual harassment in middle and high schools, the joint distribution of students who have witnessed sexual harassment in school is given in the two-way table in figure 9.9. We can use this table to calculate the marginal distributions for the number of times sexual harassment was witnessed, as well as the conditional distributions based on other factors, such as gender or grade level.

The two marginal distributions are the number of students who witnessed sexual harassment across all grades and genders. This allows us to see the total number of incidents of sexual harassment and how they vary by grade level or gender.

The conditional distributions are based on additional factors, such as gender or grade level. For example, we can calculate the percentage of female students who witnessed sexual harassment compared to the percentage of male students who witnessed it. We can also calculate the percentage of incidents that occurred in each grade level.

The preferred conditional distribution to explain the results of the analysis depends on the research question. If the research question is focused on gender differences, then the gender-based conditional distribution would be most useful. If the question is focused on grade level differences, then the grade-level based distribution would be more appropriate.

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Answer:

XZ = 9 * 4= 36

BC = 48 / 4 = 12

Answer:

XZ = 9 * 4= 36   /  BC = 48 / 4 = 12

Step-by-step explanation:

Answer:

theres is no solution

Step-by-step explanation:

We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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Answer:

x=5

y=-2

Step-by-step explanation:

even though this looks like they want you to do it elimination ima do substation cause I like that better

2x-y=12

   +y. +y

2x=12+y

-12    -12

2x-12=y

Now we can fill in y

3x+4(2x-12)=7

3x+8x-48=7

11x-48=7

   +48. +48

11x=55

/11. /11

x=5

fill in X to find y

2(5)-y=12

10-y=12

-10. -10

-y=2

y=-2

hopes this helps please mark brainliest

Step-by-step explanation:

The amplitude is the value that the cosine is being multiplied by.

The general equation of a sinusoid is

\( a \cos(b(x + c) ) + d\)

where a is the amplitude

\( \frac{2\pi}{ |b| } \)

is the period

-c is the phase shift

d is the midline(vertical shift)

Here the amplitude is -1/2 so b is the correct answer.

Answer:

the amplitude of the function that is y= -1/2 cos x, is 1/2.

Step-by-step explanation:

Answer:

honnestly dont know hard stuff right here

Step-by-step explanation:

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Maya achievements in mathematics were closely related to astronomy.

How were Maya achievements closely related to astronomy?

The Maya civilization made advancements in both mathematics and astronomy and these two fields were intricately interconnected in their culture. The Maya developed a highly sophisticated numerical system  which allowed them to perform complex calculations and create precise astronomical predictions.

They meticulously observed celestial bodies and recorded their movements, developing calendars and astronomical tables that aided in agricultural planning, religious rituals, and governance. By studying the stars, planets and celestial events, the Maya not only expanded their understanding of the universe but also used mathematical principles to navigate time and space.

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Answer:

obtuse triange

Step-by-step explanation:

20+50=70 degrees

since a triangle adds up to 180 degrees, subtract 70 from 180 to find the measure of the final angle

180-70=110

110 degrees is obtuse since it's greater than 90, so the triangle is obtuse

{(-40,0), (20,-30), (60,-50)} relation is a function.

A relation is a function if it has only One y-value for each x-value.

A relation between two sets is a collection of ordered pairs containing one object from each set

The ordered pairs are

((-20,30),(-40,0),(-40,50))

The relation is not a function as -40 is repeated two times

((-30,0), (-30, 20), (-30,50)}

The relation is not a function as -30 is repeated three times

{(-40,0), (20,-30), (60,-50)}

The relation is  a function because every y value has unique x value.

((-50,0), (20,-30), (-50,60)}

The relation is not a function as -50 is repeated two times.

Hence {(-40,0), (20,-30), (60,-50)} relation is a function.

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To solve the problem we must know about Z-Score.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

\(Z = \dfrac{X- \mu}{\sigma}\)

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The life span of an appliance that has a z-score of –3 is 24 months.

Given to us

The life span of the appliance can be calculated using the Z-score formula,

\(Z = \dfrac{X- \mu}{\sigma}\)

Substitute the values,

\(-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months\)

Hence, the life span of an appliance that has a z-score of –3 is 24 months.

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Answer:

b: 24 months

Step-by-step explanation:

Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.

The following is the equation for a horizontal ellipse of center with coordinates (h,k):

(x - h)²/a² + (y - k)²/b² = 1.

In relation to this issue, we have that:

The origin is where the center is.

Since the major axis is 70, 2a = 70 and a = 35.

The maximum height is 20, therefore b is equal to 20.

As a result, the ellipse's equation is as follows:

x²/35² + y²/20² = 1.

It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:

25²/35² + y²/20² = 1

0.51 + y²/20² = 1

y²/20² = 0.49

y² = 20² x 0.49

y =√(20² x 0.49)

y = 14 feet.

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Answer:  7 Courts

Step-by-step explanation: One US gallon equals for US courts, so 1 3/4 x 4 is seven

Answer: 7

Step-by-step explanation:

3/4 as a decimal is .75

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Answer:

6x^2y

Solution

6x2 y

Step-by-step explanation:

hopefully this helped.bye:)

Answer:

12 feet

Step-by-step explanation:

just convert 4 yards into feet

Answer:

6.25 or 6 1/4

Step-by-step explanation:

first divide 5/4

then multiply 25/4

simplify 6.25

The function is not increasing on any interval.

First, we need to find the first derivative of the function:

y = -3x² - 5x + 2

y' = -6x - 5

Next, we need to find the critical points of the function by setting the first derivative equal to zero:

-6x - 5 = 0

-6x = 5

x = -5/6

Now, we need to use the second derivative test to determine where the function is increasing, decreasing, concave up, and concave down:

y'' = -6

Since the second derivative is a constant negative value, the function is concave down on the entire domain of x.

Now, we can use the first derivative and the critical point to determine where the function is increasing and decreasing:

When x < -5/6, the first derivative is positive, so the function is increasing.

When x > -5/6, the first derivative is negative, so the function is decreasing.

Therefore, the function is not increasing on any interval.

In interval notation, the function is increasing on the interval (-∞, -5/6) and decreasing on the interval (-5/6, ∞).

So, the correct choice is B. The function is not increasing on any interval.

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