What is the slope of the line containing the points
(2,3) and (-4,0)?

Answer:

A

Step-by-step explanation:

We are given a right triangle with a base of x feet and a height of h feet, where x is constant and h changes with respect to time t.

The angle in radians is defined by:

\(\displaystyle \tan(\theta)=\frac{h}{x}\)

And we want to find the relationship that describes dθ/dt and dh/dt.

So, we will differentiate both sides with respect to t where x is a constant:

\(\displaystyle \frac{d}{dt}[\tan(\theta)]=\frac{d}{dt}\Big[\frac{h}{x}\Big]\)

Differentiate. Apply the chain rule on the left. Again, remember that x is just a constant, so we can move it outside the derivative operator. Therefore:

\(\displaystyle \sec^2(\theta)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}\)

Since we know that tan(θ)=h/x, h is the opposite side of our triangle and x is the adjacent. Therefore, by the Pythagorean Theorem, our hypotenuse will be:

\(\text{Hypotenuse}=\sqrt{h^2+x^2}\)

Since secant is the ratio of the hypotenuse to adjacent:

\(\displaystyle \sec(\theta)=\frac{\sqrt{h^2+x^2}}{x}\)

So:

\(\displaystyle \sec^2(\theta)=\frac{x^2+h^2}{x^2}\)

By substitution, we have:

\(\displaystyle \Big(\frac{x^2+h^2}{x^2}\Big)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}\)

By multiplying both sides by the reciprocal of the term on the left:

\(\displaystyle \frac{d\theta}{dt}=\frac{1}{x}\Big(\frac{x^2}{x^2+h^2}\Big)\frac{dh}{dt}\)

Therefore:

\(\displaystyle \frac{d\theta}{dt}=\frac{x}{x^2+h^2}\frac{dh}{dt}\)

Our answer is A.

Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

Answer:

b the answer

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

18.16 km

Step-by-step explanation:

r = 2km so i took each circle there is 4 circle's and i multiplied each circle by 2 that's how i got the answer -.-

Answer:

12.56 km

Step-by-step explanation:

It's 12.56 km because the radius is 2 km, so...

2 * 2=4

(because that is just half)

4 * pi = 12.56

If α is an ordinal and β ∈ α, then β satisfies all three properties of an ordinal. Therefore, β is also an ordinal.

To prove the statement "If α is an ordinal and β ∈ α, then β is an ordinal," we need to demonstrate that if α is an ordinal and β is an element of α, then β satisfies the three properties of an ordinal:

Well-Ordering: Every element of β is strictly well-ordered by the membership relation ∈. This property holds because α is an ordinal and satisfies the well-ordering property, and β being an element of α inherits this property.

Transitivity: For any two elements γ and δ in β, if γ ∈ δ and δ ∈ β, then γ ∈ β. Since β is an element of α and α is transitive, the transitivity property carries over to β.

Trichotomy: For any two elements γ and δ in β, either γ ∈ δ, δ ∈ γ, or γ = δ. Again, this property is inherited from α, as β is an element of α.

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Answer:

1. x=13

2.x=1

Step-by-step explanation:

There are 6 foremen on the project compared to the 48 linemen

What is ratio?

Ratio is a quantitative relationship which shows the number of times one value is contained in another, in this case,8:1, the ratio of lineman to foreman means that for every 8 linemen there is 1 foreman

The relationship can also be depicted as shown below:

8/1=48/X

Since there 8 linemen to 1 foreman, it then means 8/1 is the same as 48 divided by X, where represents the number of foremen

Let us cross multiply

8/1=48/X

8*X=48*1

X=48*1/8

X=6

6 means that the project has 6 foremen

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The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

D) Acceleration is positive and increasing.​

Step-by-step explanation:

In formulae, acceleration is defined as the rate of change of velocity per unit time; for example:

\(a=\frac{v}{t}\)

where Δ V is the variation of velocity and Δ T is the variation in time.

The graph depicts the velocity of a moving item as a function of time. As we can see ΔV is the increment on the y-axis, while ΔT is the increment on the x axis: therefore, the ratio ΔV/ΔT is the curve's slope. In fact, the slope of the curve in a velocity-time graph corresponds to the object's acceleration. In this graph, we can see that the slope of the curve is growing, which means that the acceleration is positive (since the slope is positive and the velocity is increasing) and increasing (because the slope is increasing).

Answer:

Triangles A and B are acute, C is right, and I think D might be obtuse.

Step-by-step explanation:

Acute means that the angles are less than 90 degrees, and obtuse means that at least one angle is more than 90 degrees.

Answer:

Triangle A: Acute

Triangle B: Acute

Triangle C: Obtuse

Triangle D: Right

Step-by-step explanation:

Acute angle: 0°-90°

Right angle: 90°

Obtuse angle: 90°-180°

An acute triangle only has acute angles. A right triangle has one right angle. An obtuse triangle has one obtuse angle.

Answer:

selling price: $98.48

markdown price: $31.52

explination

find the difference between the beginning price and the decreased price, then we find the percentage by dividing the difference by the beginning price

Answer:

31$

Step-by-step explanation:

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

The value of the integer n used to make the inequality true is n < 34/5.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

The give inequality is:

6(n- 5) < (n+ 4)

Multiply the parentheses:

6n - 30 < n + 4

Regroup the variables such that n is on the same side of the equation:

6n - n < 4 + 30

5n < 34

Divide both sides of the equation with 5:

n < 34/ 5

Hence, the value of the integer n used to make the inequality true is n < 34/5.

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Answer:

24

Step-by-step explanation:

the two times the cut into one

Answer:

Step-by-step explanation:

According to Cohen's guidelines, a "large" effect size is generally considered to be Cohen's d of 0.8 or higher. However, it is important to consider the specific field and context of the research when interpreting effect sizes.

According to Cohen's guidelines, an effect size can be classified as small, medium, or large. Cohen's d is a commonly used effect size measure, which is calculated by taking the difference between the means of two groups and dividing it by the pooled standard deviation.

The interpretation of what constitutes a "large" effect size can vary across different fields of study. However, Cohen proposed general guidelines for interpreting effect sizes:

Small Effect Size: Cohen's d around 0.2

A small effect size suggests that there is a noticeable, but not substantial, difference between the groups or conditions being compared. It is typically considered a modest effect.

Medium Effect Size: Cohen's d around 0.5

A medium effect size indicates a moderate difference between the groups or conditions. It is generally considered a meaningful effect that is noticeable and important.

Large Effect Size: Cohen's d around 0.8 or higher

A large effect size represents a substantial and substantial difference between the groups or conditions being compared. It is considered a strong and robust effect that is often considered highly significant.

It is important to note that these guidelines are not set in stone and can vary depending on the field of study, the specific research question, and the context of the research. Additionally, effect sizes can also be influenced by factors such as the measurement scale used, the specific statistical analysis, and the sample size.

In summary, according to Cohen's guidelines, a "large" effect size is generally considered to be Cohen's d of 0.8 or higher. However, it is important to consider the specific field and context of the research when interpreting effect sizes.

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Answer:

c -1 and 2

Step-by-step explanation:

can i have BRAINLIEST?

For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

Answer:

C.) -1/2

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes.

Therefore, the slope of a line perpendicular to the line y = 2x - 3 must be -1/2.

The Answer Is

Answer:

Equation of line that passes through the points is; y= -13x - 31

Step-by-step explanation:

Given coordinates;

(- 2, - 5) and (3. - 8)

Find:

Equation of the line

Computation:

Equation of line that passes through the points is;

y = mx + c

So,

in (- 2, - 5)

-5 = m(-2) + c

-5 = -2m + c ...................Eq1

in (3, - 8)

- 8 = m(3) + c

-8 = 3m + c .....................Eq2

From eq2 + eq1

m = -13

-5 = -2m + c

-5 = -2(-13) + c

-5 = 26 + c

c = -31

So,

y = mx + c

y = (-13)x + (-31)

Equation of line that passes through the points is; y= -13x - 31

Answer:

7/8

Step-by-step explanation:

Answer:

Its A (trust me)

Step-by-step explanation:

Have a nice day

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

16.97

Step-by-step explanation:

To solve for a missing side in a right angles triangle, we solve using Pythagoras Theorem.

Pythagoras Theorem =

a² + b² = c²

Where c = Hypotenuse = Longest side

From the question above,

a=6 and c=18,

Hence,

6² + b² = 18²

b² = 18² - 6²

b² = 18² - 6²

b² = 324 - 36

b²= 288

Square root both sides

b = √288

b = 16.970562748

Approximately b ≈ 16.97