What is the slope of the graph? Type a numerical answer in the space provided. If necessary, use the / key as a fraction
bar. Do not type spaces in your answer.

The length of the railing that was parallel to the steps is; 6.65 meters

Let us first of all convert the distance in meters to centimeters. From unit conversion, we know that 1 meter equals 100 centimeters. Thus;

3.6m * 100cm / 1m = 360cm

Now we calculate the number of steps as;

360 cm / 18 cm = 20 steps

Since each step measures 28 cm, it means that total measure of steps is;

20 * 28 = 560 cm

To calculate the length of the ladder, we must apply Pythagoras theorem: c² = a² + b²

From the question, we can say that;

a = 360; b = 560

Thus;

c² = 360² + 560²

c² = 443200

c = √443200

c = 665.73

Expressing 665.73 cm in meters would give us 6.65 meters.

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Answer: $9

Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!

Answer:

Point C is in the interior of angle ABD.

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Answer:

x=7

Explanation:

-3 1/4x+25= 2 1/4x-13 1/2

25=5 1/2x-13 1/2

38 1/2=5 1/2x

7=x

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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f(x, y) = 3x + 2y + C

To know if a vector field is conservative, we have to check if it is the gradient of a scalar function.

The gradient of the function f(x, y) is given by

∇f(x, y) = (∂f/∂x, ∂f/∂y)

If a vector field F(x, y) is the gradient of a scalar function f(x, y), then the following conditions must be satisfied:

F(x, y) = ∇f(x, y)

Whether a given vector field satisfies this condition can be checked by taking the partial derivative with respect to x and y.

∂F/∂x = ∂(6x + 5y)/∂x = 6

∂F/∂y = ∂(5x + 4y)/∂y = 4

The partial derivative of a given vector field is the constant, the gradient of the scalar function. So vector fields are conservative and we can find a potential function f(x, y) such that F(x, y) = ∇f(x, y).

To find the potential function, we can integrate the partial derivative of F(x, y) with respect to x and y.

f(x, y) = ∫∂F/∂xdx + ∫∂F/∂ydy

= ∫6dx + ∫4dy

= 3x + 2y + C

where C is the constant of integration. So the potential function for a given vector field is

f(x, y) = 3x + 2y + C

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Answer:

4/6

Step-by-step explanation:

Multiples of 4: 4, 12, 16, 24

There are 6 numbers and only 4 are multiples of 4 so the answer is 4/6

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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We can write g in terms of f as: g(x) = f(x) - 3 = x² - 3

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To write g in terms of f, we can use function composition, which involves plugging the function f(x) into g(x) wherever we see x.

So, we have:

g(x) = f(x) - 3

where f(x) = x².

Substituting f(x) into g(x), we get:

g(x) = (x²) - 3

Therefore, we can write g in terms of f as:

g(x) = f(x) - 3 = x² - 3.

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Answer:

Matt would walk 8 miles in to hours.

Step-by-step explanation:

15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.

1 mile times 8 = 8 miles

Hope that helps!

Answer:

A. Graph attached

B. It's a function. One input has only one output, it passed the vertical line test.

Step-by-step explanation:

a₀ = 3  a₁ = 6 = 3 x 2¹   a₂ = 6 x 2 = 3 x 2²  ..... aₙ = 3 x 2ⁿ

answer graph attached

A list of ordered pairs may or may not represent a function.

(a) The ordered pair

Let x represent the number of folds, and y represent the thickness.

So, the first ordered pair is:

\(\mathbf{(x,y) = (0,3)}\)

When x increases by 1, the value of y gets doubled.

So, the six ordered pairs are:

\(\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}\)

(b) Is the ordered pair, a function

In (a), we have:

Every x value has a different corresponding y value.

This means that the ordered pair is a function.

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Answer:

The number is 5

Step-by-step explanation:

Let us use an equation ( X is the unknown number)

2(x-3)=4

2x-6=4

2x-6+6=4+6

2x/2=10/2

x=5

The matched opposites are G and W.

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

G = -6 and W = +6, they are opposite to each other.

This means, same number 6 with opposite signs + and -

Therefore, the answer is C) G and W

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Answer:

1. C

2.B

Step-by-step explanation:

Force is a push or a pull.. can be a twist too

to make an object move you have to apply force by pushing of pulling the object.

ok

AC = 7

AD = 6

BC = 18

It must be 12, because the sum of two sides of a triangle is higher than the other side.

And 6 + 5 = 11

AB + AC = 11 + 7 = 18

Answer:

440

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The computation of the mean is shown below:

= Total sum ÷ number of observations

= (1 + 2 + 2 + 2 + 3 + 1 + 4 + 0 + 5 + 3 + 6 + 2) ÷ 12

= 31 ÷ 12

= 2.58

= 2.6

= 3

Answer:

24

Step-by-step explanation:

the answer is 24 I think

Answer:

4k

Step-by-step explanation:

Using the recursive formula with a₁ = k , then

a₂ = 2a₁ = 2k

a₃ = 2a₂ = 2(2k) = 4k

Answer:

1.5

Step-by-step explanation:

you divide how ever many mins by laps

Answer:

Its option A. Function A

Step-by-step explanation:

Mark brainliest

Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

Answer: 4/5 * 7^1/2 ==> 1st option

Step-by-step explanation:

3(7/25)^1/2-(28/25)^1/2+(63/25)^1/2=

3(7)^1/2 / 5 -(4*7)^1/2 / 5 +(9*7)^1/2 / 5=

3(7)^1/2 / 5 -2(7)^1/2 / 5 +3(7)^1/2 / 5=

(3-2+3)(7^1/2 / 5)=

4(7^1/2 / 5)=4/5 * 7^1/2 ==> 1st option

Answer:

21.3 seconds

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

21.3 seconds

Step-by-step explanation:

600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667

6.6666667 times 3.2 equals 21.3

iinm

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)

What is elevation?

The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.

In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).

The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).

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Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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Answer:

5% increase

Step-by-step explanation:

let's say your unit percent was 100, you had a 9 percent decrease thats 91 percent now you get a 14 percent increase which leaves you with 105 percent. compared to your original percent you got a 5 percent increase!

Answer:3.74% increased

Step-by-step explanation: