Two roads intersect at right angles. You are standing 24 meters north of the intersection on one of the roads. You are watching a car travel west at 32 meters per second. At how many meters per second i the car traveling away from you 2 seconds after it passes through the intersection?

-1.08333333333

I used a calculator

hope it helps!

Answer:

\(-1.083\)

Step-by-step explanation:

If you want to convert \(\frac{-26}{24}\) as a fraction, you will have to divide the numerator by the denominator.

\(-1.083\)

\(Aaishathameem\)

Answer:

x + 9

y + 11

(IGNORE, This part will fill the 20 letter minimum limit)

Answer:

243

Step-by-step explanation:

3^5  in standard form

3*3*3*3*3

243

The equation of the total cost for the cover charge and drinks in point-slope form is y = 6x + 5.

The point-slope form of a linear equation is given by -

 \(y - y_1 = m(x- x_1)\)

where m is the slope and \((x_1, y_1)\) is a point on the line.

Here, the total cost for the cover charge and drinks can be represented by the equation y = mx + b, where y is the total cost, x is the number of drinks, m is the cost per drink, and b is the cost of the cover charge.

We know that the cover charge is $5 and drinks are $6 each, so, we can find the slope (m) of the equation by using the cost per drink which is m = 6.

We can also find the point \((x_1, y_1)\) by using the cover charge cost which is (0,5).

Therefore, the equation in point-slope form of the total cost for the cover charge and drinks will be -

y - 5 = 6(x-0)

y - 5 = 6x

y = 6x + 5

Where x is the number of drinks and y is the total cost i.e. cover charge + drinks.

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Answer:

4

Step-by-step explanation:

set up equation: 6x + 1 + x + 7 = 36

combine like terms: 7x + 8 = 36

subtract 8 from both sides: 7x = 28

divide by 7 on both sides: x = 4

Answer:

the correct answer is 7/20

Answer:

acute, right, and scalene

Step-by-step explanation:

acute - under 90 degrees

right - 90 degrees

scalene - 3 unequal sides

1) Let's sketch this out so that we can better understand it

2) Reminding ourselves of the metric relations of a right triangle we can write out the following:

Note that the radius intersects that chord with a 90º angle so it bisects that chord.

Answer: Question 1 is 3/4

Question 2 is the line intersecting at -9 in the y axis and the slope is 4 so the other point would go at (1,-5)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

MOST ACCURATE

Answer:

it is 5.65 hope it helps thanks

Answer:

y = 1/3

Step-by-step explanation:

The equation of the horizontal asymptote can be found by finding the limit of the function as x approaches infinity:

\(\displaystyle \lim_{x\rightarrow\infty}\frac{2-e^{\frac{1}{x}}}{2+e^{\frac{1}{x}}}=\frac{2-e^0}{2+e^0}=\frac{2-1}{2+1}=\frac{1}{3}\)

The equation of the horizontal asymptote for the graph of y = (2 - e^(1/x))/(2 + e^(1/x)) is y = 1.

As x approaches positive infinity, the terms involving e^(1/x) become negligible compared to the constant terms.

Therefore, the function approaches the value 2/2 = 1.

This means that y = 1 is the horizontal asymptote as x approaches positive infinity.

Similarly, as x approaches negative infinity, the terms involving e^(1/x) become negligible compared to the constant terms.

Again, the function approaches the value 2/2 = 1.

Therefore, y = 1 is also the horizontal asymptote as x approaches negative infinity.

In summary, the equation of the horizontal asymptote for the graph of y = (2 - e^(1/x))/(2 + e^(1/x)) is y = 1.

This indicates that as x moves towards positive or negative infinity, the function approaches the horizontal line y = 1.

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Answer:

The answer is w=lhv

solution

v=lwh

v\w=lh

w=lhv

Answer:

Simply substract 0.39 from 0.54 = 0.15

Therefore the carpenter is left with 0.5 metre of wood.

Answer:

If the family has $800 for sit-down restaurant meals and fast food and they budgeted all of it for fast food, then they can buy $800/$20 = 40 fast food meals.

Step-by-step explanation:

yw;)

Answer:

40

Step-by-step explanation:

No. Of Meal=Budget/price of Meal

=800/ 20

=40

If 2 layers will fill the entire truck then the volume of the truck is 16 cubic meters.

Since the floor of the truck can be completely covered with a layer of 8 boxes, we know that the area of the truck's floor is equal to the total area of 8 boxes.

The volume of each box is one cubic meter, which means each box has a height, length, and width of 1 meter. Therefore, the area of the truck's floor is 8 square meters (8 boxes x 1 square meter per box).

If two layers of boxes will fill the entire truck, we need to multiply the area of the truck's floor by the height of two layers. Since each box has a height of 1 meter, the height of two layers will be 2 meters.

The volume of the truck = Area of the floor x Height

Volume of the truck = 8 square meters x 2 meters

Volume of the truck = 16 cubic meters

Therefore, the volume of the truck is 16 cubic meters.

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Answer: $88

Step-by-step explanation:

$99/9= $11 per hour

If Brian works 8 hours:

8x11= 88

Answer:

3.9

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=10^2

a^2+49=100

100-49=a^2

\(\sqrt{51}\)=a

x^2+6^2=a^2

x^2+36=\(\sqrt{51}\)^2

x^2+36=51

51-36=x^2

15=x^2

\(\sqrt{15}\)=x

x=3.9

Answer:

48 or 47

Step-by-step explanation:

858/18 = 47.6

Using formula Work done against gravity,

The work done by person against the gravity is 5880 J .

Work done against gravity:

The work done in lifting an object against gravity becomes the potential energy of the object-earth system. The change in gravitational potential energy Δ P.Eg is Δ P.Eg = mgh, where h is the increase in altitude and g is the acceleration due to gravity.

Mathematically, work done against gravity is given by,

W = Fg×d×cosθ

where, Fg --->force of gravity = weight = m×g

m --> mass

g --> gravity

d---> displacement

θ--> angle between force and displacement

we have given that

g = 9.8 m/s²

d = displacement = height = 2×4 = 8m

θ =angle between force and displacement = 180°

Combined mass = 75 kg

So, W = 75×9.8×8×cos 180°

W = -5880 J

Hence, the required work done is -5880J.

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Complete question:

A spiral staircase in a building is in the shape of a helix of radius 5 meters Between two floors of the building; the stairs make one full revolution and climb by 4 meters A person carries a bag " of groceries up two floors The combined mass of the person and the groceries is 75 kg and the gravitational force is 75g downward, where g 9.8 m/sec? is the acceleration due to gravity: Calculate the work done by the person against gravity in joules. Enter an exact answer.

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Let's assume that the length of the rectangle is x inches. The width of the rectangle is 2 inches more than its length. Therefore, the width of the rectangle is (x + 2) inches. We are also given that the perimeter of the rectangle is 20 inches.

The length of the diagonal of the rectangle is: √(1.5² + (1.5+2)²)≈ 3.31 inches.

We know that the perimeter of the rectangle is the sum of the length of all sides of the rectangle. Perimeter of the rectangle = 2(length + width)

So, 20 = 2(x + (x + 2))

⇒ 10 = 2x + 2x + 4

⇒ 10 = 4x + 4

⇒ 4x = 10 - 4

⇒ 4x = 6

⇒ x = 6/4

⇒ x = 1.5

We can find the length of the diagonal using the length and the width of the rectangle. We can use the Pythagorean Theorem which states that the sum of the squares of the legs of a right-angled triangle is equal to the square of the hypotenuse (the longest side).Therefore, the length of the diagonal of the rectangle is the square root of the sum of the squares of its length and width.

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Answer:

parallelogram

Step-by-step explanation:

Answer:

parallelogram

Step-by-step explanation:

did the test

Answer:

2.9661582

Step-by-step explanation:

2.9661582e+16 this is the answer

The dimensions of this rectangle are 6 units by 7 units.

The coordinates of the new point is (3, -3).

The length of the line segment with end points A and B is 7 units.

The length of the line segment with end points C and D is 11 units.

In order to determine the dimensions of this rectangle, we would use the distance formula. In Mathematics, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance AB = √[(5 + 1)² + (4 - 4)²]

Distance AB = √[36 + 0]

Distance AB = 6 units

For the width, we have:

Distance AC = √[(-1 + 1)² + (4 + 3)²]

Distance AC = √[0 + 49]

Distance AC = 7 units.

In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule;

(x, y)            →      (-x, y)

New point = (-3, -3) →  (3, -3).

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Complete Question:

The coordinates of the vertices of a rectangle are (-1, 4), (5, 4), (5, -3), and (-1, -3). What are the dimensions of this rectangle?

Answer:

Step-by-step explanation:here is a example:Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.

The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by volume=7x(2x+1)=14x2+7x

Answer:

-4

Step-by-step explanation:

Answer:

y = 1/3x - 3

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

For the ratios to suggest a proportional relationship, they must be equal.

\(\frac{17}{8}=\frac{x}{120} \implies x=255\)

Answer:

Distribute the 6 to the terms inside the parentheses.

5=6q-30-19

Combine like terms.

5=6q-49

Add 49 to both sides.

54=6q

Divide both sides by 6.

q=9

:)